Unit 1 Cumulative Assessment
Multiple Choice
Let f(x) = x2 and g(x) = x - 6. What is f-g?
a
A. X²-6
B. x2 - 36
O
C. x2 - 12x - 36
D. x2 - 12x + 36

Answers

Answer 1
The answer is D good luck

Related Questions

.
Jamie went shopping for party snacks. He bought 3 bags of chips for $4.00 each, 5 bottles of soda for $2.00 each and an ice cream cake for $20.00. How much did he spend altogether?
Choose the expression that is a correct translation of the problem.
(3 x 4) x (5 x 2) + 20
(3 + 4) + (5 + 2) + 20
(3 x 4) + (5 x 2) + 20
(3 x 4) + (5 x 2) x 20

Answers

Answer:

C (3x4) + (5x2) + 20

Step-by-step explanation:

3 things that cost 4 dollars. 5 things that cost 2 dollars and one that cost 20.

Is the question inconsistent or conditional?

Answers

Answer:

it is inconsistent

Step-by-step explanation:

Bonnie is baking cookies and making icing. She notices that 2 ounces of food coloring creates 9 cups of red icing. If 14 cups of red icing are needed to finish decorating cookies, how many ounces of food coloring are needed? Round to the nearest tenth of an ounce.

Answers

Answer:

3.1

Step-by-step explanation:

Write a proportion.

2 / 9 = x / 14

Cross multiply.

9x = 28

Divide.

x ≈ 3.1

If f(x) = 4x +4, g(x) = – 2x2 - 4x + 5, and h(x)= - 8x2 + 7, find g(1).

Answers

Answer:

-1

Step-by-step explanation:

g(1) = -2*1^2 - 4*1 + 5

The average number of points a basketball team scored for
three games was 63 points. In two games, they scored the same number of points,
which was 6 points more than they scored in the third game. Write and solve an
equation to find the number of points they scored in each game.

Answers

Average is

(2x + X+6)/3=63
(2x+x+6)= 189
3x+6=189
3x=183 61

X=61
Scores for the game are: 61, 61, and 67

What is the slope of a line that contains the points (-6 , 1) and (4 , -4)?

Answers

Answer:

-1/2

Step-by-step explanation:

For this question we use the slope formula: [tex]m = (y_{1} - y_{2})/(x_{1}-x_{2})[/tex]

chug and plug: m = (1 - (-4))/(-6-4)

m = -0.5 or [tex]-\frac{1}{2}[/tex]

The slope of a straight line passing through the points (-6 , 1) and (4 , -4) is -1/2.

What is Slope of a straight line?

The slope of a straight line measures the rate of change of variable 'y' with respect to independent variable 'x'. Mathematically -

m = (y₂ - y₁)/(x₂ - x₁)

Given is a line that passes through the points (-6 , 1) and (4 , -4).

The slope of a straight line passing through two points is given by -

m = (y₂ - y₁)/(x₂ - x₁)

The coordinates given are (-6 , 1) and (4 , -4).

Substituting them in the formula, we get -

m = (- 4 - 1)/(4 + 6)

m = (- 5)/(10)

m = -1/2

m = -1/2

Therefore, the slope of a straight line passing through the Points (-6 , 1) and (4 , -4) is -1/2.

To solve more questions on Straight lines, visit the link below-

brainly.com/question/28490034

#SPJ2

which of the following is equal to 1.66 in lowestterm? a.166/1000 b.166/100 c.58/50 d.29/25

Answers

Answer:  Choice B.  166/100

================================================

Work Shown:

1.66 = 1.66/1.00

1.66 = 166/100

1.66 = 83/50

In the second step, I moved the decimal point over to the right two spaces for each value. So 1.66 turns into 166 and 1.00 turns into 100. This is the same as multiplying top and bottom by 100.

In the third step, I divided both parts by the GCF 2. So 166/2 = 83 and 100/5 = 50.

You should have 83/50 in your answer choices, but it's not listed. So the next best thing is 166/100.

Complete the square to solve the equation below

Answers

MExact Form:

x

=

±

39

+

5

Decimal Form:

x

=

11.24499799

,

1.24499799

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Hold up i know the answer.

Step-by-step explanation:

Solve for x.
28
42
16
x

Answers

X = 24

Set up a proportion, 28/16 = 42/x

When you solve, x = 24 (:

Which of the binomials below is a factor of this trinomial?
x² + 14x + 40
O AX-9
O B. 32 + 10
O C. X* 14
D. X+4.

Answers

Answer:

D. x + 4

Step-by-step explanation:

Let's factor the trinomial:

x² + 14x + 40 = x² + 4x + 10x + 40 = x(x + 4) + 10(x + 4) = (x + 4)(x + 10)

x + 4 is between the answer options

Correct option is D.

Sunshine City was designed to attract retired people. Its current population of 75,000 residents has a mean age of 63 years and a standard deviation of 17 years. The distribution of ages is skewed to the left. A random sample of 250 residents of the city had a mean of 61.4 and a standard deviation of 19. Show work for any necessary calculations. (6 pts) a) Identify the variable of interest. b) Describe the center and spread of the population of Sunshine City. c) Describe the center and spread of the random sample of Sunshine City residents taken. What shape does it probably have

Answers

Answer:

a) Identify the variable of interest.

Ages of the residents

b) Describe the center and spread of the population of Sunshine City.

Center of the population of Sunshine city = 63 years

Spread of the Population of Sunshine city = 17 years

c) Describe the center and spread of the random sample of Sunshine City

residents taken.

Center of the random sample of Sunshine city = 61.4 years

Spread of the random sample of Sunshine city = 19 years

What shape does it probably have:

It has a skewed(left) shape

Step-by-step explanation:

a) Identify the variable of interest.

Ages of the residents

The center of a distribution tells us about the Mean or Median of the distribution

The spread of a distribution tells us about the standard deviation of the population

b) Describe the center and spread of the population of Sunshine City.

Center of the population of Sunshine city = Mean of the population of Sunshine city = 63 years

Spread of the Population of Sunshine city = Standard Deviation of the population = 17 years

c) Describe the center and spread of the random sample of Sunshine City

residents taken.

Center of the random sample of Sunshine city = 61.4 years

Spread of the random sample of Sunshine city = 19 years

What shape does it probably have:

It has a skewed(left) shape

This is because the mean is farther out to the left side of the tail of the distribution.

can someone help me? pls find the length of AB

Answers

use a divider to find the length of the middle line then use

find the value of the derivative at the indicated point. f(x)=2+3cosx, (π,-1)​

Answers

Answer:

0

General Formulas and Concepts:

Derivative is the slope of the tangent line

Derivative of a constant = 0Derivative of cos(x) = -sin(x)

Step-by-step explanation:

Step 1: Write function

f(x) = 2 + 3cos(x) (π, -1)

Step 2: Solve

Find 1st Derivative:                    f'(x) = -3sin(x)Substitute:                                  f'(π) = -3sin(π)Evaluate:                                    f'(π) = -3(0)Multiply:                                      f'(π) = 0

Step 3: Define

f'(π) = 0 tells us that when x = π, the slope of the tangent line is 0.

what is 2208 divided by 96?

Answers

23............hope this helps

How many cyclists are at least 26 years old?

Answers

Answer:

15

Step-by-step explanation:

Perry took a total of 12 quizzes over the course of 6 weeks. After attending 10 weeks of
school this quarter, how many quizzes will Perry have taken in total? Solve using unit rates.

Answers

Answer:

so perry takes about 2 quizzes a week ok well all we have to do is multiply 2×10=...20 so perry takes about 20 quizzes in ten weeks

The highest temperature recorded in the town of Westgate this summer was 93°F. Last winter, the lowest temperature recorded was -13°F. Find the difference between these two extreme temperatures.

Answers

Answer:

80

Step-by-step explanation:


Please help with number 3

Answers

9514 1404 393

Answer:

  13/8

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  [tex]\dfrac{4\dfrac{2}{3}-\left(-1\dfrac{5}{6}\right)}{-7\dfrac{3}{4}-(-11.75)}=\dfrac{6.5}{4}=\boxed{\dfrac{13}{8}}[/tex]

ree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean μ = 119 inches and standard deviation σ = 17 inches. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least four decimal places. (a) What proportion of trees are more than 130 inches tall? (b) What proportion of trees are less than 90 inches tall? (c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall? Part: 0 / 30 of 3 Parts Complete Part 1 of 3 What proportion of trees are more than 130 inches tall? The proportion of trees that are more than 130 inches tall is .

Answers

Answer:

a) 0.2588

b) 0.044015

c) 0.12609

Step-by-step explanation:

Using the TI-84 PLUS calculator

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question, we know that:

μ = 119 inches

standard deviation σ = 17 inches

(a) What proportion of trees are more than 130 inches tall?

x = 130 inches

z = (130-119)/17

= 0.64706

Probabilty value from Z-Table:

P(x<130) = 0.7412

P(x>130) = 1 - P(x<130) = 0.2588

(b) What proportion of trees are less than 90 inches tall?

x = 90 inches

z = (90-119)/17

=-1.70588

Probability value from Z-Table:

P(x<90) = 0.044015

(c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall?

For x = 95

z = (95-119)/17

= -1.41176

Probability value from Z-Table:

P(x = 95) = 0.07901

For x = 105

z = (105 -119)/17

=-0.82353

Probability value from Z-Table:

P(x<105) = 0.2051

The probability that a randomly chosen tree is between 95 and 105 inches tall

P(x = 105) - P(x = 95)

0.2051 - 0.07901

= 0.12609

Five notebooks cost $20 at this rate how much would 4 notebooks coat?

Answers

Answer:

$16

Step-by-step explanation:

if 5=20 then 20÷5=4 and 4x4=16

Answer:

16

Step-by-step explanation:

$20/5notebooks=$4 each

4$*4notebooks=16$

Write the ratio:
10
to
68
as a fraction in lowest terms.

Answers

Answer:

5/34

Step-by-step explanation:

change 10:68 into 10/68, then divide by 2/2 to get 5/34.

I need help, anyone please.

Answers

Answer:

Its B

Step-by-step explanation:

Linear funtions need 1 x value for every y value so its B

simplify 4/7 diveded by 3/-8​

Answers

Answer:

- 32/21 or - 1 11/21

Step-by-step explanation:

Midpoint of the segment whose endpoints are (6,9) and (-4,16)

Answers

Answer:

(4,5)

Step-by-step explanation:

(xa+xb/2,ya+yb/2)

(0+8/2,2+8/2)

(8/2,10/2)

(4,5)

hope this helps

If a 12.4 centimeter cloth is cut into 3.1 inch ribbons, how many ribbons will there be?

Answers

Answer: There will be 4 pieces of ribbon

(2/5) (-5/7) please show work

Answers

Given equation:

(2/5) (-5/7)

What we have to do?

To simplify the equation

Step by step explanation:

Step 1:

[tex] \blue{= \dfrac{2}{5} \times \dfrac{ - 5}{7} }[/tex]

[tex]\green{so \: after \: simplifying \: the \: equation \: it \: will \: look \: like \: this}[/tex]

Step 2:

[tex] \blue{= \dfrac{2}{1} \times \dfrac{ - 1}{7} }[/tex]

Step 3:

[tex] \blue{=\dfrac{ - 2}{7} }[/tex]

Step 4:

[tex]\blue{=−0.28571✓}[/tex]

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With regards!

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A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?

Answers

Answer:

18 cents

Step-by-step explanation:

3.28/18 = .18

Find the value of 3 ^ 3

Answers

Answer:

27

Step-by-step explanation:

3*3=9*3=27

Answer: 27

Step-by-step explanation: What 3 ^ 3 mean is when you multiply 3x3x3. Hope this was helpful.

Help a nikah out plz lol thx for the help

Answers

Answer:

18

Step-by-step explanation:

trapezoid area:

[tex]A=\frac{1}{2} (b_1+b_1)(h)\\A=\frac{1}{2} (4+8)(3)\\A=18[/tex]

The answer above is correct my dude
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