g(0) = -6, g(15) = -9
i need help finding this linear function
Answers
(0,-6) and (15,-9)
first find the slope:
(y2-y1)/(x2-x1) = (-9- -6)/(15-0) = -3/15 = -1/5
plug in one of the points and the slope into point slope form:
y-y1 = m (x-x1)
y+6 = -1/5 (x-0)
solve for slope intercept form
y+6 = -1/5x
y = -1/5x - 6
Related Questions
After 1 minute, a file Portia is downloading from the internet is at 0 kilobytes downloaded. After 2 minutes, the file is at 3 kilobytes downloaded. After 3 minutes, the file is at 8 kilobytes downloaded. After 4 minutes, the file is at 15 kilobytes downloaded. Write an expression to model the amount of the file downloaded. Explain your reasoning.
Answers
The expression to model the amount of the file downloaded is:
D = (t(t + 1))/2 - 1
Here, we have,
To model the amount of the file downloaded over time, we can observe that the pattern of the downloaded kilobytes follows a specific pattern. Notice that the amount of the file downloaded is increasing by 1 kilobyte every minute, and the starting point is at 0 kilobytes.
Based on this pattern, we can represent the amount of the file downloaded as a quadratic function of time (minutes).
Let's denote the amount of the file downloaded as D and the time in minutes as t.
Since the amount of the file downloaded is increasing by 1 kilobyte every minute, we can express it as the sum of the consecutive positive integers.
The sum of the first n positive integers can be given by the formula (n(n + 1))/2.
In this case, we want to find an expression that represents the sum of the first n positive integers, where n represents the time in minutes. However, since the starting point is 0 kilobytes downloaded, we need to subtract 1 from the sum to account for this.
Therefore, the expression to model the amount of the file downloaded is:
D = (t(t + 1))/2 - 1
This expression represents the sum of the first t positive integers, subtracting 1 to account for the starting point at 0 kilobytes downloaded. It will give us the amount of the file downloaded at any given time t in minutes.
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the price of the four new tires changes from $638 to $523 find the percent of increase or decrease
A.18% decrease
B.18% increase
C. 22% decrease
D 22% increase
Answers
Step-by-step explanation:
To find the percent change in price of the four new tires, we can use the formula:
percent change = (new value - old value) / old value * 100%
Here, the old value is $638 and the new value is $523.
percent change = ($523 - $638) / $638 * 100%
percent change = -$115 / $638 * 100%
percent change = -0.18 * 100%
percent change = -18%
The result is a decrease of 18%, so the answer is A. 18% decrease.
Okay, let's solve this step-by-step:
Original price of 4 tires: $638
New price of 4 tires: $523
To calculate the percent change, we use the formula:
Percent Change = (New Price - Original Price) / Original Price
So in this case:
Percent Change = ($523 - $638) / $638 = -$115 / $638 = -0.18 = 18%
Since the new price is less than the original price, this is a decrease.
Therefore, the answer is A: 18% decrease
So the answer is A: 18% decrease
L,U,N,C,H,L,U,N,C,H,L,U. Is a pattern that continues to infinity.
Answers
Answer:
Yes
Step-by-step explanation:
because it is going to keep saying LUNCH
Why is Russell’s quote an example of multiple approaches giving the same result? He indicates that the research was carried out by different scientists. He mentions three versions of the same investigation. He lists three very different investigations. He suggests the investigations were all done by the same scientist.
Answers
Answer:
c
Step-by-step explanation:
100%
Answer:
C
Step-by-step explanation:
Nya!!
The perimeter of a rectangular parking lot is 368 m.
If the width of the parking lot is 86 m, what is its length?
Answers
Answer:
98
Step-by-step explanation:86+86=172
368-172=196
196/2=98
suppose that a simple random sample is used to estimate the proportion of families in a certain area that are living below the poverty level. if this proportion is roughly .15, what sample size is necessary so that the standard error of the estimate is .02?
Answers
The sample size for estimate the proportion of families in a certain area that are living below the poverty level is equals to the 318.75.
The standard error is a statistic term that is the standard deviation of its sampling distribution or an estimate of that standard deviation. In case of sample mean, it is called the standard error of the mean. Formula of standard mean is
\( SE =\sqrt{ \frac{\hat p (1 - \hat p)}{n}} \)
where, n--> sample size
We have a simple random sample for estimate the proportion of families,
Sample proportion = 0.15
Standard error = 0.02
We have to determine the sample size for the standard error of the estimate is .02.
Here, SE = 0.02, \hat p = 0.15
Using the standard score formula,
\( 0.02 =\sqrt{ \frac{0.15 (1 - 0.15)}{n}} \)
Squaring both sides
\( 0.02² = \frac{0.15 ×0.85 }{n} \)
\( 0.0004 = \frac{0.1275 }{n} \)
=> n = 318.75
Hence, required value is 318.75.
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Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover the exact distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
Answers
Answer:
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
Two hours after Tom began Tom would cover 12 miles and three hours after Linda started Linda would be 6 miles far away from the starting point
Step-by-step explanation:
Linda walks in a straight line at 2 miles/hour
then after t ( hours time) she is 2 (m/h) * t = d (L)
for Tom running at 6 m/h starting one hour later to cover the same distance d(L)
d(L) = 6 m/h * ( t - 1 ) then:
2 (m/h) * t = 6 m/h * ( t - 1 )
2*t = 6*t - 6
4*t = 6
t = 6/4
t = 1,5 h
Checking that result.
we see that in 1,5 hours Linda has covered 2* 1,5 = 3 miles
and in 0.5 hours Tom covered the same distance 0,5 * 6 = 3 miles
NOTE: Remember that tom started one hour later.
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
b) In this case
d(T) = 6* ( t - 1 ) must be equal to twice of the Linda distance
d(L) = 2 * 2 * t
6*t - 6 = 4*t
2*t = 6
t = 3
To check it
in 3 hours Linda had covered 3 * 2 = 6 miles
in 2 hours Tom had covered 2 * 6 = 12 miles
Which problem demonstrates the associative property of multiplication?
(5.2 • 3.1) • 1.9 = 5.2 • (3.1 • 1.9)
5.2 (3.1 + 1.9) = (5.2 • 3.1) + (5.2 • 1.9)
(5.2 + 3.1) + 1.9 = 5.2 + (3.1 + 1.9)
5.2 + 1.9 + 3.1 = 10.2
I NEED THIS ASAP BECAUSE ITS PAST DUE
Answers
Answer:
A (the first one)
Step-by-step explanation:
A demonstrates the associative property of multiplication.
Select the sentence that represents the equation below.
4x−8=2(2x−3)
Four times a number less than eight is equal to two times the difference of double that same number decreased by three.
Eight less than four times a number is equal to two times the difference of three minus double that same number.
Eight less than four times a number is equal to two times the difference of double that same number decreased by three.
Eight minus four times a number is equal to two times the difference of double that same number minus three.
Answers
Answer:
Eight less than four times a number is equal to two times the difference of double that same number decreased by three.
Step-by-step explanation:
The given equation is:
4x−8=2(2x−3)
We will try to translate the given equation in English.
We can see that the variable used is only one. On the left hand side of the equation 8 is being subtracted from 4 times of the variable and on the right hand side 3 is being subtracted from 2 times of variable and then being multiplied by two.
From the given option, correct answer is:
Eight less than four times a number is equal to two times the difference of double that same number decreased by three.
A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?
Answers
Answer:
y = −1/3x+17/3
Step-by-step explanation:
The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)
Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)
Midpoint formula: \(( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )\)
So perpendicular bisector of this line is simply a line with slope −1/3 that passes through point (5, 4)
y - 4 = -1/3 (x-5)=
y = −1/3x+17/3
what does the size or dimension of the matrix tells?
Answers
Answer:
The dimensions of a matrix are the number of rows by the number of columns.
A cyclist completes a journey of 500 m in 22 seconds in two parts. The first part with the speed of 10m/s and remainder of it in 50m/s, how far did she travel in each speed
Answers
Using the relation between velocity, distance and time, it is found that she traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
For the first part, we have that she cycled a distance of d m in t seconds, at a velocity of 10 m/s, hence:
10 = d/t
d = 10t.
For the second part, we have that she cycled a distance of 500 - d meters, in 22 - t seconds, at a velocity of 50 m/s, hence:
50 = (500 - d)/(22 - t).
Since d = 10t, and applying cross multiplication:
500 - 10t = 50(22 - t)
500 - 10t = 1100 - 50t
40t = 600
t = 600/40
t = 15.
22 - t = 22 - 15 = 7, hence:
She traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.
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39. Find the minimized Boolean expression for the functions defined by each of the following truth tables a) x у Z F 0 0 0 X 0 0 1 X 10 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 b) w x y Z F 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 х 0 1 0 1 0 0 1 1 0 X 0 1 1 0 1 10 0 0 1 1 0 D 1 X 1 10 1 0 х 1 0 1 1 X 1 1 0 0 X 1 1 0 1 1 1 1 1 0 X 1 1 1 X
Answers
The minimized boolean expression for this truth table is:
F = w'x'z + w'yz' + wx' + wxy'zThe given truth table for the function defined by the boolean expression X у Z F is shown below;
x y z F
0 0 0 0
0 0 1 0
0 1 0 1
0 1 1 0
1 0 0 1
1 0 1 0
1 1 0 1
1 1 1 1
To obtain the minimized expression, we can use Karnaugh maps or Boolean algebra laws like distributivity, commutativity, and associativity to simplify the original expression. However, since the expression is relatively small, we can also obtain the minimized expression by inspection.
The minimized boolean expression for this truth table is:
F = y'z' + xzThe given truth table is:
w x y z F
0 0 0 0 0
0 0 0 1 1
0 0 1 0 0
0 0 1 1 0
0 1 0 0 X
0 1 0 1 0
0 1 1 0 X
0 1 1 1 1
1 0 0 0 1
1 0 0 1 1
1 0 1 0 X
1 0 1 1 1
1 1 0 0 X
1 1 0 1 1
1 1 1 0 X
1 1 1 1 X
Therefore, the minimized boolean expression for this truth table is:
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Instructions-Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary.
-
f(x) = 5x + 25 - 1
8(x) - - 2x-3
Answers
Answer:
f(x)=5x+25-1
8(x)- -2x-3
=30-1
=8x+6x
=29+14x
43x
The point of intersection of the two functions is (3, 27).
The system of equations is:
f(x) = 5x + 25 - 1 = 5x + 24
g(x) = 2x - 3
To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.
f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21
Solving for x, we get:
x = 21/7 = 3
Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).
f(x) = 5x + 24
f(3) = 5(3) + 24 = 27
Therefore, the point of intersection of the two functions is (3, 27).
To the nearest tenth, the point of intersection is (3.0, 27.0).
The point of intersection of the two functions is (3, 27).
The system of equations is:
f(x) = 5x + 25 - 1 = 5x + 24
g(x) = 2x - 3
To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.
f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21
Solving for x, we get:
x = 21/7 = 3
Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).
f(x) = 5x + 24
f(3) = 5(3) + 24 = 27
Therefore, the point of intersection of the two functions is (3, 27).
To the nearest tenth, the point of intersection is (3.0, 27.0)
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what is the common factor of 1,50,000 and 50,000
Answers
Answer:
The common factor of 1,50,000 and 50,000 is 1
Hi!
I can help you with joy!
1,50,000 and 50,000 have lots of common factors.A factor is a number that a number is divisible by.Example: 2 is a factor of 10, because 10 is divisible by 2.Now, both of these numbers are divisible by1, 2, 5, 10, 20, 25, 50, 100, 1,000...Answer:
1, 2, 5, 10, 20, 25, 50, 100, 1,000...
Hope it helps.
Do comment if you have any query regarding my answer.
~Misty~
What is the y-intercept in the equation y = 45x + 65?
Answers
Answer:
The y intercept is : 65
Step-by-step explanation:
The y intercept is 65 as it is in the form of y=mx+c.
The c is the y intercept, being 65
told..................
Answers
Answer:
B
Step-by-step explanation:
You can solve the system of equations by elimination, since 3y and -3y will cancel out.
After combining the two equations, you will get 19x = -152.
Divide each side by 19:
x = -8, so the answer is B
Can someone please take the time out of They’re day and help me with this
Answers
Answer:
a. 3x = 2x + 10, b. x = 10, c. 30 degrees
Step-by-step explanation:
Angle 4 and angle 6 = 180 degrees, so
3x = 2x + 10
x = 10
Angle 7 is congruent to angle 6, so it is also 2x + 10, x = 10, so it is 30 degrees.
Answer:
see explanation
Step-by-step explanation:
∠ 4 and ∠ 6 are same- side interior angles and sum to 180° , that is
(a)
3x + 2x + 20 = 180 , simplifying
(b)
5x + 20 = 180 ( subtract 20 from both sides )
5x = 160 ( divide both sides by 5 )
x = 32
(c)
∠ 6 and ∠ 7 are vertically opposite angles and are congruent , then
∠ 7 = 2x + 20 = 2(32) + 20 = 64 + 20 = 84°
Use the Fundamental Theorem to show that the following is true. integral^b _a f (x) dx = integral^c _a f (x) dx + integral^b _c f (x) dx Use the Fundamental Theorem of Calculus to rewrite the left side of the equation. integral^b _a f (x) dx = - Use the Fundamental Theorem of Calculus to rewrite the right side of the equation. Simplify completely. integral^c _a f (x) dx + integral^b _c f (x) dx = (- F (a)) + (- F (c)) = - Does integral^b _a f (x) dx = integral^c _a f (x) dx + integral^b _c f (x) dx? No Yes
Answers
Yes, the statement integral^b _a f(x) dx = integral^c _a f(x) dx + integral^b _c f(x) dx is true. Let's understand the steps to verify this statement using the Fundamental Theorem of Calculus.
Step 1: Rewrite the left side using the Fundamental Theorem of Calculus.
integral^b _a f(x) dx = F(b) - F(a)
Step 2: Rewrite the right side using the Fundamental Theorem of Calculus.
integral^c _a f(x) dx + integral^b _c f(x) dx = [F(c) - F(a)] + [F(b) - F(c)]
Step 3: Simplify the right side of the equation.
[F(c) - F(a)] + [F(b) - F(c)] = F(b) - F(a)
Since the left side and the right side are equal (F(b) - F(a)), we can conclude that integral^b _a f(x) dx = integral^c _a f(x) dx + integral^b _c f(x) dx is true.
Therefore, using the Fundamental Theorem of Calculus, the given statement was proves to be true.
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bill, phil, and jenny are siblings. bill is twice as old as phil. jenny is two years younger than bill. currently, their dad is twice as old as the sum of their ages. in nine years, dad's new age will be equal to the sum of his three kids' new ages. what is jenny's current age?
Answers
The current age of Jenny is 6 years.
Let the current age of Phil be = x years
So the current age of Bill is = 2x years
The current age of Jenny is = 2x-2 years
Sum of their ages is = x+2x+2x-2 = 5x-2 years
Now the age of their dad is = 2(5x-2) = 10x-4 years
Now after nine years,
Age of Phil = x+9
Age of Bill = 2x+9
Age of Jenny = 2x-2+9 = 2x+7
Sum of their ages = x+9+2x+9+2x+7 = 5x+25
New age of their father = 10x-4+9 = 10x+5
According to question, the required linear equation to solve the question is,
5x+25 = 10x+5
5x = 20
x = 4
Hence the Jenny's current age = 2*4-2 = 8-2 = 6 years
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WHOEVER HELPS ME WILL GET MARKED BRAINLIEST PLSSSSS HELP
Answers
Answer:
D please mark brainliest
Step-by-step explanation:
Answer:
The answer to your question is D(-6, -3)
Step-by-step explanation:
solve the given initial-value problem. the de is homogeneous. xy2 dy dx = y3 − x3, y(1) = 1
Answers
The particular solution that satisfies the given initial condition is y = 1. This is the solution to the given initial-value problem.
To solve this initial-value problem, we must first note that the given differential equation is homogeneous. This means that if y is a solution to the given equation, then so is cy, where c is an arbitrary constant. Thus, the first step in solving this initial-value problem is to find the general solution of the homogeneous equation. To do this, we can use the method of separation of variables.
This method involves separating the variables x and y on opposite sides of the equation, and then integrating both sides with respect to their respective variables. Doing this yields:
∫xy2 dy = ∫(y3 − x3) dx
Integrating both sides of the equation with respect to y yields:
y3x2/3 + C1 = x4/4 + C2
where C1 and C2 are arbitrary constants. Rearranging this equation yields:
y3 = 4x4/3 − 4C2x2/3 + 4C1
Now, we can use the given initial condition, y(1) = 1, to determine the value of the arbitrary constants. Substituting x = 1 and y = 1 into the equation yields:
13 = 4/3 − 4C2/3 + 4C1
Solving for C1 and C2 yields:
C2 = 0, C1 = 3/4
With the arbitrary constants determined, we can now find the general solution of the homogeneous differential equation. Substituting the values of C1 and C2 into the equation yields:
y3 = 4x4/3 − 3/4
This equation is the general solution of the given homogeneous differential equation. To solve the initial-value problem, we must now find the particular solution that satisfies the given initial condition. To do this, we can substitute the initial condition, y(1) = 1, into the general solution to obtain:
13 = 4/3 − 3/4
Solving for y yields:
y = 1
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Determine the interval(s) on which the given function is increasing.
Polynomial going up from the left and passing through the point negative 1 comma 0 and going to a relative maximum at the point 0 comma 5 and then going down to a relative minimum at the point 1 comma 4 and then going up to the right
B IS INCORRECT
A.) (–∞, –1) ∪ (1,∞)
B.) (–1, ∞) NOT THE ANSWER
C.) (–∞, 0) ∪ (1, ∞)
D.) (0, 1)
Answers
Answer:
Step-by-step explanation: Answer c the -1 is equivalent to the -0 and -* to the third power equaled the equation mathematics of it being c
Thus, the answer c
PLS HELP......!
Fill in the blanks to describe each sequence in words. Then write the missing terms.
• Pyramidal Sequence: Each term in the sequence is the (BLANK) of a perfect square and all perfect squares before it.
1, (BLANK) , 14, 30, (BLANK) , 91, ...
• Fibonacci Sequence: Each term in the sequence is the (BLANK) of the 2 terms before it.
1, 1, 2, 3, (BLANK) , 8, 13, (BLANK) , 34, ...
Answers
1, 5, 14, 30, 55, 91, ...
• Fibonacci Sequence: Each term in the sequence is the sum of the 2 terms before it.
1, 1, 2, 3, 5, 8, 13, 21, 34, ...
FILL IN THE BLANK. to test if there is a difference in two population means, a ___should be used. anova one sample t test two sample t test none of the above
Answers
To test if there is a difference in two population means, a difference in sample mean should be used , the correct option is (b) .
In the question ,
we have to find the what is used to test whether their is a difference in two population means or not .
For each hypothesis problem, there is test statistic .
This test statistic is compared to the critical value to make the decision about the hypothesis.
Hence choosing the appropriate test statistics matters a lot.
Here two samples are there. It is clearly given for which we have to test the hypothesis that is sample means .
Hence, we can say that the test statistic is, the difference in sample mean .
Therefore , the difference in sample mean is used to test if there is a difference in two population means .
The given question is incomplete , the complete question is
To test if there is a difference in two population means, a ___ should be used.
(a) alpha
(b) the difference in sample means
(c) the degrees of freedom
(d) the difference in the population means
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Daniel bought 5 tickets to the movies for a total of $31.75. How much did each ticket cost? *
Answers
Answer: 6.35$
Step-by-step explanation:
Divide 31.75 by 5
Triangle PRT - status, TS - its higher. Based on the data in the drawing, calculate the length of the altitude drawn from the vertex R to the extreme PT.
Answers
Answer:
16 cm
Step-by-step explanation:
We're to find the length of RT.
Apply the leg rule which is given as,
Hypotenuse/leg = leg/part
Hypotenuse = PR = 7.2 + 12.8 = 20 cm
Leg = RT
Part = 12.8 cm
Plug in the values
20/RT = RT/12.8
Cross multiply
RT*RT = 20*12.8
RT² = 256
RT = √256
RT = 16 cm
The volume of a box is 5x^3 + 20x^2 + 15x cm^3. If the height of the box is 5x cm, find the width and length of the box.
Answers
Answer:
The product of the Width and Length is x^2 + 4x + 3 cm^2.
Step-by-step explanation:
The volume of a box = 5x^3 + 20x^2 + 15x cm^3.
Volume of a Box = W*L*H [Width(W), Length(L), and Height(H)]
W*L*(5x) = 5x^3 + 20x^2 + 15x cm^3
W*L = (5x^3 + 20x^2 + 15x cm^3)/5x cm
W*L = x^2 + 4x + 3 cm^2
We know the area of the base of the box (W*L). It is x^2 + 4x + 3 cm^2.
To find the actual width and length, we need to know one of the variables, L or W. Without that, all we can say is that their product (W*L) is x^2 + 4x + 3 cm^2.
What is the volume of this rectangular prism?
Jasper built a dollhouse for his younger sister.
A rectangular prism has a length of 24 inches, width of 8 inches, and height of 10 inches. A triangular prism has a triangular base of 24 inches and height of 6 inches. The height of the prism is 8 inches.
Which equation shows how to determine the volume of the dollhouse?
V = 24 (10) (8) + one-half (6) (24) (8)
V = 24 (10) (8) + one-third (6) (24) (8)
V = 24 (10) (8) + one-half (6) (24) (10)
V = 24 (10) (8) + one-third (6) (24) (10)
Answers
Answer:
It's A :)
Also can i please have brainliest :)
Answer:
A
Step-by-step explanation:
AC =
Round your answer to the nearest hundredth.
?
?
с
A
70°
B
Answers
Answer:
AC = 3.76
Step-by-step explanation:
take 70 degree as reference angle
using sin rule
sin 70 = opposite / hypotenuse
0.939 = AC /4
0.939 * 4 = AC
3.756 = AC
3.76 = AC
Answer:
AC = 3,76
Step-by-step explanation:
Sin70 = AC/AB
Sin 70 = AC/4
AC = Sin70×4
AC = 3,76