What is the average rate of change of g over the interval [-1 4]

Answer:

Step-by-step explanation:

[ x^3  + x^2 ]  + [ x^2  -  5x  - 6  ]  =

x^2 ( x + 1) +  (x + 1) ( x - 6)  =

(x + 1)  ( x^2  + x  - 6)  =

( x + 1) ( x + 3) ( x - 2)

Maybe this?

Answer:

same amount of money

Step-by-step explanation:

The unit rate for a 9-ounce jar is $0.17.

The unit rate for a 15-ounce jar is $0.17.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

The store sells a 9-ounce jar of mustard for $1.53.

The unit rate.

= 1.53/9

= 0.17 _____(1)

The store sells a 15-ounce for $2.55.

The unit rate.

= 2.55/15

= 0.17 ______(2)

From (1) and (2) we see that,

The unit rate is the same.

Thus,

The unit rate is the same.

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Answer:

The function [tex]f(x) = |x+3|[/tex] can be rewritten in the following form:

[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]

Step-by-step explanation:

According to the definition of absolute value, we know that:

[tex]f(a) = \left\{\,\begin{array}{ccc}a\,\,\,a\ge 0\\-a\,\,\,a < 0\end{array}[/tex]

According to this, we can define [tex]f(x) = |x+3|[/tex] in the following form:

[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]

Answer:

The correct order is in the picture i attatched:)

Step-by-step explanation:

Hope this helps explain a little better:)

Answer:

D

Step-by-step explanation

-2 1/2 is less than -1 1/2, s -2 1/2<-1 1/2

Answer:

i think its 90

Step-by-step explanation:

you would multiply the right box which is 2 x 3 ( i got 3 because its half of 6 which is at the top) then you would multiply the left box which is 3 x 5

2 x 3 = 6

3 x 5 = 15

15 x 6 = 90

i dont need the 2k on bloxburg

if its right could i get brainliest?

Answer:

325m = c

Step-by-step explanation:

Each meeting room has 325 chairs.

Since we don't know how many meeting rooms there are, the number is replaced with the variable, m.

An equation is a problem with an equals sign so you need to put what it would equal.

Since you don't know how many meeting rooms there are you use the variable, c which represents the total number of chairs.

Answer:right scalene

Step-by-step explanation:

Answer:

Rate.

Step-by-step explanation:

Answer:

30:1

Step-by-step explanation:

The graph is shown in the attached image.

The graph of the line is a straight line with points on are: (0, -9), (3, -5) and (6, -1).

Given that a line has a slope of 4/3 and the y-intercept is -9, we need to graph the line,

To graph the line with a slope of 4/3 and a y-intercept of -9, we can use the slope-intercept form of a linear equation, which is y = mx + b.

Here, the slope (m) is 4/3, and the y-intercept (b) is -9.

Start by plotting the y-intercept, which is the point (0, -9).

Next, use the slope to determine the direction of the line. The slope 4/3 means that for every 4 units you move up, you need to move 3 units to the right.

So, from the y-intercept (0, -9), move up 4 units and then move to the right 3 units to find the next point on the line. This point would be (3, -5).

Repeat this process to find more points on the line. Move up 4 units and to the right 3 units from the previous point (3, -5) to get (6, -1).

You can continue this process to find more points if desired.

Once you have a few points, connect them with a straight line to graph the line.

The graph of the line with a slope of 4/3 and a y-intercept of -9 is attached in the solution.

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Answer:

the answer is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

least to greatest: -5 and 1

Step-by-step explanation:

they represent the zeroes of the function and are sorted from least to greatest

Step-by-step explanation:

The answer is

[tex] \sqrt{2} - 1[/tex]

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Answer:

The z-score for a person whose self-esteem score was 101.6 would be of -0.227.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108.

This means that [tex]\mu = 108[/tex]

The standard deviation of self-esteem scores was 28.15

This means that [tex]\sigma = 28.15[/tex]

What would the z score be for a person whose self-esteem score was 101.6

This is Z when X = 101.6. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{101.6 - 108}{28.15}[/tex]

[tex]Z = -0.227[/tex]

The z-score for a person whose self-esteem score was 101.6 would be of -0.227.

Answer:

[tex]A=988\ \text{feet}^2[/tex]

Step-by-step explanation:

Given that,

The height, width and the thickness of a rectangular prism are 17 feet, 12 feet and 10 feet.

We need to find the area of a rectangular prism. The formula for the ara of rectangular prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Substitute all the values,

[tex]A=2(17\times 12+12\times 10+10\times 17)\\\\A=2\times 494\\\\A=988\ \text{feet}^2[/tex]

So, the area of the rectangular prism is equal to [tex]988\ \text{feet}^2[/tex].

Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

Answer:39

Step-by-step explanation:

Answer:f he made a first payment of $20 shortly after the purchase, he would have a balance of $180-$20=$160, before they applied the first $15 finance charge, but he will see a balance of $180-$20+$15=$175 (with the finance charge) in that first statement.

Each month, his balance will change by -$20+$15=-$5, so it will take him, another 32 payments to reduce that $160 to $0. That month, he will pay the $20 balance to get a balance of zero, and hopefully see no more finance charges.

In all, paying the minimum $20 payment each month, Malik will make 33 such payments for a total of $660. If he saved $20 per month, he could have saved $180 in 9 months, or $260 in 13 months, and he would have saved a lot of money. He would probably have to pay the $250 regular price, and would have missed about a year of roller blading, but he would have saved $660-250=$410.

Step-by-step explanation:

Answer:

$5.7

Step-by-step explanation:

Given data

Bill= $37.85

Tip= 15%

Required

The amount of the tip

let us find 15% of $37.85

=15/100*37.85

=0.15*37.85

=$5.6775

Hence the amount of the tip is

=$5.7

Answer:

[tex]h=8.48\ \text{inches}[/tex]

Step-by-step explanation:

Given that,

Radius of cone, r = 7 inches

Slant height of the cone, l = 11 inches

We need to find the height of the cone. Let the height be h. Using trigonometry to find it as follows :

[tex]h^2+r^2=l^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{11^2-7^2}\\\\h=8.48\ \text{inches}[/tex]

So, the height of the cone is equal to [tex]8.48\ \text{inches}[/tex].

Heya!

Answer:

√72

Step-by-step explanation:

Use Pythagorean:

h² + (14/2)² = 11²

h² + 49 = 121

h² = 121 - 49

h² = 72

h = √72 in

Hope this helps <33

Answer:

Length= 68 miles

Width=28 miles.

Step-by-step explanation:

Length=2x+12

Width=x

2x+12+x=96

3x+12=96

3x=96-12

3x=84

X=28

Width=28

Length=(2×28)+12=68

Answer: Distributive Property

Explanation: The distributive property tells us that if we're given an expression such as -3(m + 8), we can multiply the -3 by both the m and the 8.

Answer:

CI = ( 0,539 ; 0,599)

Step-by-step explanation:

The proportion p₀ of person that hung up the phone in the first minute of waiting is:

p₀ = 569/1000         p₀ = 0,569       p₀  =  56,9 %

Then q₀  = 1 - 0,569                          q₀  = 0,431       q₀ = 43,1 %

Sample size is  n = 1000

A 95 % CI  is:     α  = 5 %    α = 0,05      a/2 = 0,025

In z-table we look  z ( score ) for  0,025      z  = ± 1,96

Now CI for proportion is:

p₀ - z (α/2) * √ (p₀*q₀ )/n   < p < p₀ + z (α/2) * √ (p₀*q₀ )/n

we need to find out

z(α/2) * √ (p₀*q₀ )/n   =   1,96*√ ( 0,569*0,431)/1000 = 1,96 *0,01566 =0,03

Then

CI ( 95%) =  0,569 ± 0,03  =  ( 0,569 - 0,03 ;  0,569 + 0,03)

CI = ( 0,539 ; 0,599)