Answer:
Hello!!
\(-6+(-5)=-11\)
\(-3+6=3\)
Step-by-step explanation:
Simplify the first expression and add the second expression
Hope this helps!!
for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.
An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:
Example 1:
Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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At which root does the graph of f(x) = (x + 4)(x + 735 cross the x-axis?
9514 1404 393
Answer:
both of them: x = -4, x = -735
Step-by-step explanation:
The meaning of "real root" is that the graph intersects the x-axis at that value of x. If the degree of the root is odd, the graph crosses there. (If the degree of the root is even, the graph only touches the x-axis.)
f(x) = (x +4)(x +735)
has real roots at x = -4 and x = -735, so crosses the x-axis in those places.
Which is a disadvantage of using credit?
Answer:
Overspending: Credit cards can make life easier, but they can also make overspending easier as well. ...
Interest and fees: Using credit is essentially borrowing.
Step-by-step explanation:
Answer:
High-interest rates if not paid in full by the due date Annual fees for some credit cards can become expensive over the years. Fee charged for late payments
Step-by-step explanation:
One of the legs of a right triangle measures 12 cm and its hypotenuse measures 14Find the measure of the other leg. If necessary, round to the nearest tenth.
To obtain the measure of the other leg of the right triangle, the following steps are necessary:
Step 1: Draw a sketch of the right triangle and label it with the dimensions provided in the question, as below:
Step 2: Apply the Pythagorean theorem to obtain the measure of the other leg of the right triangle, as follows:
The Pythagorean theorem goes as follows:
\(\text{hypothenus}^2=\text{opposite}^2+\text{adjacent}^2\)Thus:
\(\begin{gathered} 14^2=12^2+x^2 \\ 196=144+x^2 \\ 196-144=x^2 \\ 52=x^2 \\ x^2=52 \\ x=\sqrt[]{52}=7.21 \\ x=7.2\text{ (to the nearest tenth)} \end{gathered}\)Therefore, the measure of the other leg of the right triangle is 7.2cm
A study conducted to determine the relationship between the age, x, in years of a certain brand of motorcycle and its value, y, in dollars. The equation y = -750x + 8500 best models the data. Based on the equation, what is the estimated value of a motorcycle that is 5 years old?
Based on the equation, y = -750·x + 8500, the estimated value of a
motorcycle that is 5 years old is $4,750.
How can the given equation help to estimate the value of the motorcycle?The regression equation that models the data is; y = -750·x + 8500
Where;
y = The value of the brand of motorcycle in dollars
x = The age of the motorcycle
When the motorcycle is 5 years old, we have;
x = 5
y = -750 × 5 + 8500 = 4750
Based on the equation, the estimated value of a motorcycle that is 5 years old, y = $4,750
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Subtract 35 from 18 raised to the 7th power; then multiply by 4.
Which of the following expressions matches the sentence above?
A.
(18 - 35)7 × 4
B.
187 × 4 - 35
C.
187 - 35 × 4
D.
(187 - 35) × 4
For what value of k will the vector (1, -2, k) in be a linear combination of the vectors (3, 0, -2) and (2, -1, -5) ?
(1,5) (2,5) (1,-5) (2,-5) is this a function
Answer:
A function is an expression in terms of a variable, usually x. Hence, that is not a function.
Step-by-step explanation:
What you have there are four sets of coordinates.
Answer:
no
Step-by-step explanation:
(1,5) (2,5) (1,-5) (2,-5)
This is not a function
To be a function each x must only go to one y
x=1 goes to both 5 and -5
x=2 goes to both 5 and -5
It is not a function
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
Ben's Barbershop has a rectangular logo for their business that measures 7(1)/(5) feet long with an area that is exactly the maximum area allowed by the building owner. Create an equation that could be used to determine M, the unknown side length of the logo.
An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M
Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:
A = L x W
where A is the area of the logo, L is the length of the logo, and W is the width of the logo.
Substituting the given values, we get:
A = (7(1)/(5)) x M
or
A = (36/5) x M
Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:
A = X
Combining both equations, we get:
X = (36/5) x M
This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.
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Suppose you are an operation manager for a plant that manufactures batteries Give an example of how you use descriptive statistics and alo inferential statics to better managerial decisions
As an operations manager for a plant that manufactures batteries, I can use both descriptive statistics and inferential statistics to make better managerial decisions
Descriptive statistics help me to summarize and describe the data collected from the manufacturing process.
For instance, I can use measures such as mean, median, mode, range, and standard deviation to summarize the data on the production output of batteries over a specific period.
Inferential statistics allow me to draw conclusions and make predictions based on the data collected from a sample of batteries produced.
For example, I can use inferential statistics to determine the probability of the battery meeting the required specifications. I can also use inferential statistics to make predictions about future production output, based on the historical data.
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Tree A started at 5 feet and grew at a rate of 2 feet per month. Tree B started at 8 feet and grew at a rate of 3 feet per month.
Directions: Write a system of equations. DO NOT SOLVE
Answer:
Step-by-step explanation:
5 + 2x = y
8 + 3x = y
Answer:
Tree A equation: y = 2x + 5. Tree B equation: y = 3x + 8.
Step-by-step explanation:
The rate at which the tree's grow each month is m (y=mx + b) and the starting length of the trees is b (y=mx+b). Once you know those values plug them into the equation.
Use the graph of f(x) to find the solutions to the equation f(x)=0.
Answer:
x = -4, 7
Step-by-step explanation:
Pre-SolvingWe are given the graph of the function f(x), and we want to find the values that make the statement f(x) = 0.
f(x) = 0 means that there are certain values that make the value of f(x) (which can be considered as y) equal to 0.
SolvingWe can look to the graph to help us - we should look at where y is equal to 0, which is the x-axis.
On the x-axis, we can see that the function passes through both -4 and 7 (the graph goes up by 1) on that line.
As coordinate points, they are written as (-4,0) and (7,0).This means that when either -4 or 7 are substituted into the function (i.e. when they are equal to x), they will make the function equal 0.
So, it means that x = -4, 7.
Which of the following sentences show correct verb tense usage? Check all that apply. When the facilitator announced a bathroom break, the seminar participants took out their iPhones and begun checking their messages a The overall outlook is favorable, so I wrote to the board chair to inform him. She has wrote him an e-mail
The sentence which show correct verb tense usage is The overall outlook is favorable.
Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.
Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.
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Madison bought 58 invitations for $87. If each invitation is the same price,
how much would it cost her to buy 70 invitations?
Show your work.
Answer:
We can use proportion to solve this problem.
Let x be the cost of one invitation.
We can set up a proportion:
58/x = 87/1
To solve for x, we can cross-multiply:
58 * 1 = 87 * x
58 = 87x
x = 58/87
x = 0.67
So one invitation costs $0.67.
To find the cost of 70 invitations, we can multiply the cost of one invitation by 70:
70 * $0.67 = $46.90
Therefore, it would cost Madison $46.90 to buy 70 invitations.
Find the area of the figures given
Answer:
A: 12.5
B: 36
C: 40
D: 88
Step-by-step explanation:
those are the answers
A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.
The area of the rectangle is 88 square inches.
The equation x(x – 3) = 44 can be used to solve for the dimensions of the triangle.
The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.
The triangle has a base of 11 inches and a height of 8 inches.
The rectangle has a width of 4 inches.
Answer:
⬇⬇⬇⬇⬇⬇
⬇⬇⬇⬇⬇⬇
Step-by-step explanation:
1, 3, 4
proof below
(1) The area of the rectangle is 88 square inches
(3) The equation x² – 3x – 88 = 0 can be used to solve for the length of the rectangle.
(4) The triangle has a base of 11 inches and a height of 8 inches.
Area of the rectangle
Area of a rectangle is the sum of the area of two equal right triangle.
Area of rectangle = 2(area of right triangle)
Area of rectangle = 2(44 sq inches) = 88 sq inches
Total area of the triangle with respect to length and width of the rectangleLet the length = x
then the width becomes, x - 3
Area = x(x - 3) = 88
x² - 3x = 88
x² - 3x - 88 = 0
x = 11
width = 11 - 3 = 8
Thus, the statements that are true include;
The area of the rectangle is 88 square inchesThe equation x² – 3x – 88 = 0 can be used to solve for the length of the rectangle.The triangle has a base of 11 inches and a height of 8 inches.Learn more about area of rectangle here: https://brainly.com/question/25292087
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Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the product and explain the process and reasoning.
0.67 x 0.3 =
Answer: 0.201
Step-by-step explanation:(0.67)(0.3)
0.201 The main point to focus on when multiplying decimals is to just treat the decimals normally, as if they were whole numbers by ignoring the decimal points and multiply them together. Then put the decimal point in the answer.
21.6 Computer use. A random sample of 197 12th-grade students from across the United States was surveyed, and it was observed that these students spent an average of 23.5 hours on the computer per week, with a standard deviation of 8.7 hours. If we plan to use these data to construct a 99% confident interval, the margin of error will be approximately (a) 0.07. (b) 0.62. (c) 1.6. (d) 8.7.
Answer:
(c) 1.6
Step-by-step explanation:
Calculation for what the margin of error will be approximately
First step is to calculate Total hours spent
Total hours spent = (197 * 23.5 hours)
Total hours spent =4,625 hours
Second step is to find the square root of the sample size
Sample size=√197
Sample size=14.04
Third step is to divide the Standard deviation of 8.7 hours by square root of sample size of 14.04
= 8.7 hours /14.04
= 0.6196
Fourth step is to use the Z table to find Z value at 99% confidence
Z value at 99% confidence = 2.58
Last step is to calculate the Margin of error
Margin of error = 0.6196 * 2.58
Margin of error = 1.59857
Margin of error= 1.6 (Approximately)
Therefore what the margin of error will be approximately is 1.6
PLS HELP!! Define a variable and write an equation to model each
situation. Then solve.
13. Farming You have 100 ft of fencing to build
a
circular sheep pen.
a. What is the diameter of the largest pen you can
build? Use 3.14 for
b. What is the area of the largest pen you can fence?
14.Map The scale on a map is 1 in. : 25 mi. You
measure 6.5 in. between two towns. What is the
actual distance?
Problem 13, part A
Recall that the term "circumference" is a special name for the distance or perimeter around a circle. Think "circle fence" which sounds a bit like "circumference", at least if you say it fast enough. That's how I remember it.
We're given 100 feet of fencing and we need to find the diameter of the circle that can be formed with this amount of fencing. We'll plug C = 100 into the circumference formula below and solve for d.
C = pi*d
100 = 3.14d
3.14d = 100
d = 100/(3.14)
d = 31.84713
The diameter of this circle is roughly 31.84713 feet
=========================================================
Problem 13, part B
Cut the diameter we just found in half to get
r = d/2
r = (31.84713)/2
r = 15.923565
Now use this radius value to find the area of this circle
A = pi*r^2
A = 3.14*(15.923565)^2
A = 796.178156
The area of the circle is roughly 796.178156 square feet
=========================================================
Problem 14
(1 inch)/(25 miles) = (6.5 inches)/(x miles)
1/25 = (6.5)/x
1*x = 25*6.5
x = 162.5
Therefore, 6.5 inches on the map correspond to 162.5 miles
Help me please I need help x^2 - 8x + 16
The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.
The given trinomial is x²-8x+16.
Factors of 16 Sum of factors
-1 and -16 -1+(-16)=-17
-2 and -8 -2+(-8)=-10
-4 and -4 -4+(-4)=-8
The set of factors would used to factor the trinomial are -4 and -4.
Therefore, option C is the correct answer.
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The perimeter is about WHAT HELP!?
HELP!!!! Write an exponential function to describe the given sequence of numbers.
Answer:
y = 5^(x+1)
Step-by-step explanation:
y = 5^(x+1)
x = 1 for the initial step
I need help in this task pls, says locate the following decimal numbers on the line...the one who helps me I give him points, about 70 points
Answer:
Listen to the explanation
Step-by-step explanation:
Each dash on the line represents .10 so for the first one where it says .28 it should be about-
|-----|-----|---●-|-----|-----|-----|-----|-----|-----|-----|
0. .10. .20 .30 40 .50. .60 .70 .80 .90 1.0
Do you get what I mean? Haha
Answer:
Assuming that the line goes from zero to one.
2x-7/2 = x+3/3 please help me
Answer:
x=4.5
Step-by-step explanation:
2x− 7/2 =x+1
2x− 7/2- x=1
x-7/2=1
x= 1+7/2
x=2/2+7/2
x= 2+7 is numerator and 2 is the denominator
x= 9/2
9/2 = 4.5
There are 380 people in a talent show. They have 21 rows. They want everyone in each row to be even. How many people are in each row???
The quantity of people in each row is = 18
Calculation of people in each rowThe total number of people in the talent show = 380
The total number of rows in the show = 21
For every one in each row to be even the total number of people should be divided by the available number of rows. That is,
380/21 = 18.1
Therefore, the quantity of people in each row is approximately = 18.
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What is the total square inches
Square Area = side x side = 3x3 = 9
Rectangle Area = side x side= 7x3= 21
9 + 21 = 30 square inches
Answer:
30 square inches
Step-by-step explanation:
\(\boxed{\text{\bf Area of rectangle = length *width}}\)
Rectangle1:
Area = 6 * 3
= 18 square inches
Rectangle2:
Area = 4 * 3
= 12 square inches
Area of the figure = area of rectangle1 + area of rectangle2
= 18 + 12
= 30 square inches
Please help me with this question:(
Answer:
CB= 35
Step-by-step explanation:
Using the following information about the family’s assets and liabilities, calculate the debt ratio:
Based on the various assets and liabilities that the family has, the debt ratio can be calculated to be D. 54.1%.
How is the debt ratio calculated?the debt ratio can be found as:
= Total debt / Total assets
Solving:
= (5,500 + 210,000 + 180,000+ 25,000) / (3,000 + 13,000 + 320,000 + 25,000 + 15,000 + 64,000 + 39,000)
= 258,500 / 479,000
= 54.1%
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The question is attached in the picture below. (University level)
Answer:
nope
Step-by-step explanation:
Apply dot product which must = 0 for orthogonality.
In this case,
-(3)(2) + (-2)(-2) + (-3)(1) + (1)(4) = -1.