Question 4 of 10
Simplify this algebraic expression completely.
10y-3(y+5)
O A. Ty-5
B. 7y-15
C. 7y+5
D. 7y+ 2
SUSE
Answers
Answer:
B. 7y - 15
Step-by-step explanation:
10y - 3(y+5)
= 10y -3y - 15
= 7y -15
Answer:
B)7y-15
Step-by-step explanation:
The answer is B)7y - 15
10y - 3(y+5)
= 10y -3y - 15
= 7y -15
Related Questions
Which of these is a point-slope equation of the line that is perpendicular to y-3=4(x-10) and passes through (-3, 7)?
Answers
SOLUTION;
We want the point slope representation of line perpendicular to;
\(y-3=4(x-10)\)and passes through ( -3,7)
The slope of the line given is 4. The slope of the perpendicular line is;
\(m=-\frac{1}{4}\)The equation of the line is;
\(\begin{gathered} y-7=-\frac{1}{4}(x--3) \\ y-7=-\frac{1}{4}(x+3) \end{gathered}\)Thus, the answer is Option B
m.
x-intercept =
1/2
and y-intercept = 3
Write an equation for the line in point-slope form and in slope-intercept form
Answers
Answer:
slope intercept form: y= -6x+3
point slope form: y-0= -6(x -1/2)
Step-by-step explanation:
point slope form: y - y1 = m(x - x1)
substitute the values y-0=-6(x-1/2)
slope intercept form:
find the slope using two given points
m = (y2 - y1) / (x2 - x1)
= (3 - 0) / (0 - 1/2)
= 3 / (-1/2)
= -6
substitute into equation
y= -6x+3
find measure of angle ABC. measure of angle FEC=90 degrees
Answers
The measures of ∠ ABC = 81° and ∠ FEC = 90°
What is the angle sum property of a triangle?A common property of all kinds of triangles is the angle sum property. The angle sum property of triangles is 180°. This means that the sum of all the interior angles of a triangle is equal to 180°.
Given that, BE is the median of Δ ABC, m ∠ ABE = 40°30
40°30 = 40°+30/60° = 40.5°
Since, BE is the median so, AE = EC and m ∠ ABE = m ∠ CBE
m ∠ ABE = m ∠ CBE = m ∠ ABC → By angle sum postulate
m ∠ ABC = 40.5°*2 = 81°
Since, AB = BC, then m ∠ A = m ∠ C → {angles opposite to equal sides are equal}
In Δ ABC, let m ∠ A = m ∠ C = x
x + x + m ∠ ABC = 180°
2x = 180° - 81°
2x = 99°
x = 49.5°
Therefore, m ∠ A = m ∠ C = 49.5°
In Δ CBE,
m ∠ BCE + m ∠ CBE + m ∠ BEC = 180°
49.5° + 40.5° + m ∠ BEC = 180°
m ∠ BEC = 180° - 90°
m ∠ BEC = 90°
Now,
m ∠ BEC + m ∠ FEC = 180° → by linear pair sum
m ∠ FEC = 180° - 90°
m ∠ FEC = 90°
Hence, The measures of ∠ ABC = 81° and ∠ FEC = 90°
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15P! NEED TODAY! WILL MARK BRAINLIEST! HELP! 15P! NEED TODAY! WILL MARK BRAINLIEST! HELP! You need to solve a system of equations. You decide to use the elimination method. Which of these is not allowed? Equation 1: 2x - 3y = 12 Equation 2: -2x + y = 8 A. Add the left side of equation 2 to the left side of equation 1. B. Multiply equation 2 by 3. Then substract the result from equation 1. C. Add equation 2 to equation 1.
Answers
Answer:
(A)
Step-by-step explanation:
That rule isn't used in the elimination methods for systems of equations, but, rather, it is used in substitution methods. The other rules are used in elimination.
Please tell me if I got it wrong. I really hope it is correct.
A. Add the left side of equation 2 to the left side of equation 1.
B. Multiply equation 2 by 3. Then subtract the result from equation 1.
C. Add equation 2 to equation 1.
Which is the correct value of Z for the solution to true system?
2x+3y-z=4
x-3y+2z=-3
3x+y-z=5
Answers
The correct value of Z for the solution to true system is -2
How to determine the correct value of Z for the solution to true system?From the question, we have the following parameters that can be used in our computation:
2x + 3y - z = 4
x - 3y + 2z = -3
3x + y - z = 5
Transform the third equation
So we have
2x + 3y - z = 4
x - 3y + 2z = -3
9x + 3y - 3z = 15
Eliminate y in the equations by subtraction
So we have
x - 3z = 7
10x - z = 12
Multiply x - 3z = 7 by 10
10x - 30z = 70
10x - z = 12
Subtract the equations
-29z = 58
So, we have
z = -2
Hence, the correct value of Z is -2
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HELP??????????????????????????!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: A best friend listens to you. ... It doesn't matter how many times you've said the same asinine thing – a true best friend never tires of hearing your ridiculous stories. Your best friend is one who listens to your work gossip, even if he or she doesn't understand it.
Step-by-step explanation:
Can someone help me plz
Answers
What is -4 x 3, 3 x -4, and 5 x -4
Answers
Answer:
Each answer is negative
Each equation has a four within it, either negative or positive
Step-by-step explanation:
-4x3=-12
3x-4=-12
5x-4=-20
Which fraction is equivalent to -6 -(-9)/8
Answers
Answer:
2/8 = 1/4 = 0.25
Step-by-step explanation:
If gtx) = -2(x + 5)² +3, which statement is true?OA. The axis of symmetry of x) is x = 5, and the axis of symmetry of gtx) is x = 5.OB. The axis of symmetry of (x) is x = 5, and the axis of symmetry of gtx) is x = -5.OC. The axis of symmetry of x) is x=-5, and the axis of symmetry of gtx) is x = -5.OD. The axis of symmetry of f(x) is x=-5, and the axis of symmetry of gtx) is x = 5,
Answers
Given the graph of f(x) and the function:
\(g(x)=-2(x+5)^2+3\)You need to remember that, by definition, the Axis of Symmetry of a parabola passes through its vertex, and divides the parabola into two equal parts.
• You can identify in the graph that the vertex of the parabola is its maximum point:
\((5,3)\)Therefore, you can draw the vertical lines that pass through the vertex:
Notice that the x-coordinate of each point on the line is always the x-coordinate of the vertex of the parabola. Therefore, the equation for that line is:
\(x=5\)• In order to find the Axis of Symmetry of g(x), you need to rewrite it in this form:
\(g(x)=ax^2+bx+c\)By definition:
\((a+b)^2=a^2+2ab+b^2\)Therefore, you can expand the function:
\(g(x)=-2(x^2+2(x)(5)+5^2)+3\)\(g(x)=-2(x^2+10x+25)+3\)\(g(x)=-2x^2-20x-50+3\)\(g(x)=-2x^2-20x-47\)Now you can find the Axis of Symmetry using this formula:
\(x=-\frac{b}{2a}\)In this case:
\(\begin{gathered} a=-2 \\ b=-20 \end{gathered}\)Then, you get:
\(\begin{gathered} x=-\frac{(-20)}{2(-2)} \\ \\ x=-5 \end{gathered}\)Hence, the answer is: Option B.
In a genetics class, 7 students have GREEN eyes, 4 students have BLUE eyes, and 10 have HAZEL eyes. If a single student is picked at random, what is the probability that their eyes are BLUE or HAZEL?
Provide the final answer as a simplified fraction.
Answers
Answer:
1/14
Step-by-step explanation:
all together the probability would be 1/21 because we're adding all the color eyes together. After that, it narrows to only blue and hazel which is 14 so the new probability is 1/14, so the answer is 1/14.
In a survey, the planning value for the population proportion is p*= 0.25. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.06? Round your answer up to the next
whole number.
Answers
The sample should be taken to provide a 95% confidence interval is 200.
What is a confidence interval?A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.
Confidence is another name for probability in statistics.
Given the planning value for the population proportion,
probability, p = 0.25
q = 1 - p = 1 - 0.25
q = 0.75
margin of error = E = 0.06
value of z at 95% confidence interval is 1.96,
the formula for a sample is,
n = (z/E)²pq
n = (1.96/0.06)²*0.25*0.75
n = 200.08
n = 200 approx
Hence sample size is 200.
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Question 9/30 If ADD = 81, BAD = 49, and CAD = 64. then what is the value of ADA?
Answers
The value of ADA is 36
The question could be approached as a quantitative reasoning exercise :
Assigning each alphabet a numeric value corresponding to its position in the English alphabet :
A has a value of 1
B has a value of 2
C has a value of 3
D has a value of 4
ADD could be interpreted as :
ADD = (1 + 4 + 4) = 9
Taking the square of the sum ; 9² = 81
ADD = 81
BAD could be interpreted as :
BAD = (2 + 1 + 4) = 7
Taking the square of the sum ; 7² = 49
CAD could be interpreted as :
CAD = 3 + 1 + 4 = 8
Taking the square of the sum ; 8² = 64
Therefore ;
ADA could be interpreted as :
ADA = 1 + 4 + 1 = 6
Square of the sum ; 6² = 36
Hence, the value of ADA is 36
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Out of 200 students in a senior class, 32 seniors are in the band and 64 seniors are in the band or on the honor roll. What is the probability that a randomly selected senior is both in the band and on the honor roll? Express your answer a fraction in simplest form.
Answers
The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.
Given:
Total number of seniors = 200
Number of seniors in the band = 32
Number of seniors in the band or on the honor roll = 64
Let's calculate the probability using these values:
Probability = Number of seniors in both categories / Total number of seniors
Probability = 64 / 200
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:
Probability = (64 ÷ 8) / (200 ÷ 8)
Probability = 8 / 25
Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
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Evaluate 3x2 + 3x - 9, when x = 2
Answers
3x2 =6 +3(2)-9
= 3
Answer:
9
Step-by-step explanation:
3x^2 + 3x - 9
Substitute x = 2 into the equation.
3(2)^2 + 3(2) - 9
3(4) + 6 - 9
12 + 6 - 9
18 - 9 =
9
5 raise to the power 3 is equal to 5
\(5 {x3x81}^{2} \)
![5 raise to the power 3 is equal to 5 [tex]5 {x3x81}^{2} [/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/UWZjE9LsR2cRzgFifHqWRJTDuyYBXXTV.jpeg)
Answers
Answer:
Note that 5 to the power of 3 is the same as 5 raised to 3. In x y, 5 is the base (x) and 3 is the exponent (y). Therefore, you can also write the problem and the answer as follows: 53=125 You will also get the answer of 5 to the power of 3 (5 to the 3rd power) if you type 5 then xy then 3 and then = on your scientific calculator.
Step-by-step explanation:
right triangle ABC is shown on the graph below. I f the point (-4,y) lies on the line that goes through side BC of the triangle, then what should be the value of y?
Answers
Given:
A point (-4,y) lies on the line BC of the triangle.
The objective is to find the value of y.
Explanation:
Consider two points of the straight line BC of the triangle ABC.
\(\begin{gathered} (x_1,y_1)=(-3,2) \\ (x_2,y_2)=(0,5) \end{gathered}\)The slope of the straight line can be calculated as,
\(m=\frac{y_2-y_1}{x_2-x_1}\text{ . . . . .(1)}\)On plugging the coordinates in equation (1),
\(\begin{gathered} m=\frac{5-2}{0-(-3)} \\ m=\frac{3}{3} \\ m=1 \end{gathered}\)To find y:
Now, consider the given coordinate and the point C.
\(\begin{gathered} (x_1,y_1)=(-3,2) \\ (x_3,y_3)=(-4,y) \end{gathered}\)On plugging the obtained values in the equation of slope,
\(\begin{gathered} 1=\frac{y-2}{-4-(-3)} \\ 1=\frac{y-2}{-4+3} \\ -4+3=y-2 \\ -1+2=y \\ y=1 \end{gathered}\)Hence, the value of y is 1.
Which whole number is equivalent to 12/3 ?
Answers
Answer:
4
Step-by-step explanation:
12 divided by 3 is 4. It's that simple!
At the start of a game of marbles, Peter and Jack had 160 marbles in all. In the first round, Peter lost 3/5 of his marbles to Jack. In the second round, James lost 3/7 of his marbles to Peter. At the end of the second round of the game, they had the same number of marbles. How many marbles did each of them have at first?
Answers
Answer: Therefore, at the start of the game, Peter had 80 marbles and Jack had 80 marbles.
Step-by-step explanation:
A factory produces 5, 836 keyboards each day. If a box holds 20 keyboards, which statement is true?
Answers
Answer:
Step-by-step explanation:
Which price gives the store the maximum amount of revenue, and what is the ... When graphing the function f(x)=-x+5+12 on your graphing calculator, what is the ... Based on the graph, how many real number solutions does the equation x3 + ... is challenged to a game by a classmate, which statement below is correct in all ...
Missing: 836 | Must include:
Answer:
none will be left over
Step-by-step explanation:
Which price gives the store the maximum amount of revenue, and what is the ... When graphing the function f(x)=-x+5+12 on your graphing calculator, what is the ... Based on the graph, how many real number solutions does the equation x3 + ... is challenged to a game by a classmate, which statement below is correct in all ...
Raquel is reading a book that has 48 pages
On Monday she read 1/8 of the book
On Tuesday she read 3/8 of the book
How many pages does she have left to read in order to finish
Answers
Answer:
24
Step-by-step explanation:
1/8+ 3/8= 1/2
1/2 od 48 is 24.
3. What is the measure of remote angle, LA?
80
B
Answers
Answer:
m<A = 40°
m<C = 113°
Step-by-step explanation:
Problem 1:
m<A = ½(arc BC) (Inscribed angle theorem)
Substitute
m<A = ½(80°)
m<A = 40°
Problem 2:
Given that m<A = 67°
Recall: angels that are opposite each other in any given inscribed quadrilateral are supplements of each other.
Thus, it implies that:
m<A + m<C = 180°
Substitute
67° + m<C = 180°
Subtract 67° from each side
m<C = 180° - 67°
m<C = 113°
b. Choose the correct answers.
1. The product of three negative integers is
(a) always negative
hla
Answers
p(0)
17. If p (m) = 4m3 + 3, the value of
p(1)-P(-1)
divides it int
Answers
Answer:
\(p(1) - p(-1) =8\)
Step-by-step explanation:
Given
\(p(m) = 4m^3 + 3\)
Required
\(p(1) - p(-1)\)
First, we calculate p(1)
Substitute 1 for m in \(p(m) = 4m^3 + 3\)
\(p(1) = 4(1)^3 + 3\)
\(p(1) = 4*1 + 3\)
\(p(1) = 4 + 3\)
\(p(1) = 7\)
Next, we calculate p(-1)
Substitute -1 for m in \(p(m) = 4m^3 + 3\)
\(p(-1) = 4(-1)^3 + 3\)
\(p(-1) = 4*-1 + 3\)
\(p(-1) = -4 + 3\)
\(p(-1) = -1\)
\(p(1) - p(-1)\) is then calculated as:
\(p(1) - p(-1) = 7 - (-1)\)
\(p(1) - p(-1) = 7+1\)
\(p(1) - p(-1) =8\)
find the sum or difference?
4.7 - 3.28 =______
Answers
Answer:
1.42
Step-by-step explanation:
Javier bought a painting for
$
150
$150dollar sign, 150. Each year, the painting's value increases by a factor of
1.15
1.151, point, 15.
Which expression gives the painting's value after
7
77 years?
Choose 1 answer:
Choose 1 answer:
(Choice A)
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
A
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
(Choice B)
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
B
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
(Choice C)
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
C
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
(Choice D)
150
+
1.15
⋅
7
150+1.15⋅7150, plus, 1, point, 15, dot, 7
D
150
+
1.15
⋅
7
150+1.15⋅7
Answers
The correct expression is \($(150 \cdot 1.15)^7$\) (Choice A).
The problem states that the painting's value increases by a factor of 1.15 each year. This means that the value at the end of each year is 1.15 times the value at the beginning of the year. Therefore, after one year, the value of the painting is\($150 \cdot 1.15 = 172.50$\).
To find the value after 7 years, we need to multiply the value of the painting each year by 1.15 a total of 7 times. This can be represented mathematically as \($(150 \cdot 1.15)^7$\). This expression is equal to the starting value of the painting, 150, multiplied by 1.15$ raised to the 7th power, which represents the 7 years of appreciation.
If we were to choose expression B, it would give an incorrect result because it uses a value of 1.1 instead of 1.15 to represent the yearly increase in value.
Expressions C and D are also incorrect because they are not taking into account the compounding effect of the yearly increase. Expression C adds the initial value and the total years together, and expression D adds the initial value to the yearly increase multiplied by 7, neither of which correctly reflects the exponential growth of the painting's value.
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The graph of this line shows the total amount Katrina earns for working a corresponding number of hours. How much did Katrina earn for working 7 hours?
Answers
The correct statement is that for each hour, the earnings go up by $7. Option A
What is straight line graph?If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.
We can find the slope of the graph to know as said above;
m = y2 - y1/x2 - x1
m = 14 - 0/2 - 0
m = 7
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Every 30 seconds you get $5
Every 252000.288 seconds you get $100k
how long will it take to get 100,000 if you get $5 every 30 seconds
Answers
Answer:
600,000 seconds
Step-by-step explanation:
$5 --- 30 seconds
$100,000 --- \(\frac{100,000}{5}\) × 30 seconds = 600,000 seconds
write an expression for the operation below. s subtract 8.
Answers
Answer:
S - 8
Step-by-step explanation:
S - 8.
hope this helps! Have a great day!
The next model of a sports car will cost 11.8% more than the current model The current model costs 37,000.How much will the price increase in dollars?What will be the price of the next model
$0
$0
?
Answers
Answer:
436.6
Step-by-step explanation:
3700×0.118=436.6