use the graph below to write the equation of the function

Step-by-step explanation:

Let's simplify step-by-step.

−3p3+5p−2p2−4−12p+5−−8p3

=−3p3+5p+−2p2+−4+−12p+5+8p3

Combine Like Terms:

=−3p3+5p+−2p2+−4+−12p+5+8p3

=(−3p3+8p3)+(−2p2)+(5p+−12p)+(−4+5)

=5p3+−2p2+−7p+1

Answer:

=5p3−2p2−7p+1

Answer:

Explanation:

4.7 + (-3.65)

= 4.7 - 3.65

Answer:

1.05

Step-by-step explanation:

4.7 + (-3.65)

= 4.7 - 3.65

= 1.05

Let me know if you have any questions :)

Answer:

f(-1) = -3

Step-by-step explanation:

(Assuming {2} is ^2)

f(-1) = 3(-1)² + 4(-1) - 2

= 3(1) - 4 - 2 = -3

9514 1404 393

Answer:

  -3/4, 3

Step-by-step explanation:

The zeros are the values of x that make h(x)=0. Those are the values of x that make the factors of h(x) be zero.

  -4x -3 = 0   ⇒   x = -3/4

  x -3 = 0   ⇒   x = 3

The zeros of the function are -3/4 and 3.

Answer:

Top: y=3

Top right: y=-3/2x+6

Bottom right: y=3/2x-6

Bottom: y=-3x

Bottom left: y=-3/2x-6

Top left: y=3/2x+6

Step-by-step explanation:

Top: y=3

Top right: y=-3/2x+6

Bottom right: y=3/2x-6

Bottom: y=-3x

Bottom left: y=-3/2x-6

Top left: y=3/2x+6

Answer:

I think it's 1.5 I'm not sure ._.

Answer:

1/3

Step-by-step explanation:

Total students = 36

No of boys = 24

No of girls = 36 - 24 = 12

Probability of selecting a girl = 12/36 = 1/3

Answer:

Green line: y = 5x + 2

Red line: y = 3x + 3

Purple line: y = 2x + 3

Step-by-step explanation:

1) All the given equations are in slope-intercept form, or [tex]y = mx + b[/tex] format. When an equation is written in this form, the constant on the right side of the equation, or the [tex]b[/tex], represents the y-intercept. The y-intercept is the point at which the line crosses the y-axis.  

Knowing this, the y-intercept of [tex]y = 5x + 2[/tex] must be (0,2). The only graph in which the line crosses the y-axis at the point (0,2) is the one with the green line, thus the graph of [tex]y = 5x + 2[/tex] is the green one.

2) Now, since the other two equations share the same y-intercept, we have two graphs left. We can find out which graph belongs to which equation by taking a look at the slope of the line. The number in place of [tex]m[/tex], or the coefficient of the x-term in an equation in slope-intercept format represents the slope. Thus, the slope of [tex]y = 3x +3[/tex] is 3 and the slope of [tex]y = 2x + 3[/tex] is 2.  

Now, find the slope of one of the lines in the graphs. To do so, use the slope formula,  [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of two points on the  chosen line into the formula in order to figure out the line's slope. I chose to find the slope of the red line, using the points (0,3) and (-1,0):

[tex]m = \frac{(0)-(3)}{(-1)-(0)} \\m = \frac{0-3}{-1-0}\\m = \frac{-3}{-1} \\m = 3[/tex]

So, the slope of the red line is 3. Its equation must be [tex]y = 3x + 3[/tex] since it has the matching slope. By process of elimination, the purple line must have the equation of [tex]y = 2x + 3[/tex].

The Matching is:

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We know the slope- intercept form

y= mx+ b

where m is the slope.

For y= 5x+ 2 the slope is 5.

and, for y= 3x+ 3 the slope is 3.

and, for y= 2x+ 3 the slope is 2.

For Graph 1, the slope is 5/1= 5

and, For Graph 2, the slope is 6/2= 3

and, For Graph 3, the slope is 6/3 = 2

Learn more about slope here:

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Answer:

x=25

Step-by-step explanation:

a^2+b^2=c^

24^2+7^2=c^2

576+49=626

sqrt of 625 is 25

I think is -7

Step-by-step explanation:

because I calculated I'm not sure tho

Answer:

esto es correcto, la y sigue siendo la misma

Step-by-step explanation:

Answer: y=4

Step-by-step explanation:

y = 4

Por que y siempre es equitativo a cuatro.

Perdón por los errores en mi español. Es mi segundo idioma.

Answer:

66.5

Step-by-step explanation:

64+69=133

133÷2=66.5

Answer:

37% to 69%

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

In D, the x value repeats

Answer:

C

Step-by-step explanation:

C has a positive then negative slope, while D can't even be a function.

I hope this helps :)

Answer:

345 miles

Step-by-step explanation:

So we know that 2 cities are 5.75 inches apart on the map and the scale reads for every 0.5 inch its 30 miles. So we can first start of by diving 5.75 by 0.5, since we need to know how many “0.5” inches are in 5.75 inches. You’d get 11.5. Now 11.5 multiply that by 30 which would get you 345 miles.

Answer:

h = [tex]\frac{- 275}{12}[/tex]

Step-by-step explanation:

85 = 360 + 12h

85 - 360 = 360 - 360 + 12h

- 275 = 12h

- 275 ÷ 12 = 12h ÷ 12

h = - 275/12

Answer: b

Step-by-step explanation: the answer is got was 1.166666

Answer:

56.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos N = PN / NO

cos 27 = 50/ x

x cos 27 / 50

x = 50/cos 27

x=56.11631188

Rounding to the nearest tenth

x = 56.1

Compound interest is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]

If P = $2000, R = 3.5%, n = 2 and T =16 years.

The amount received on his 16th birthday is $3480.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]

Where,

R = rate

P = principal.

n = number of times compounded annually.

t = number of years.

We have,

Principal = $2,000

Rate = 3.5%

Semiannually means twice a year so,

n = 2

Time = 16 years

Now,

The amount received on his 16th birthday:

A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]

A = 2000 [tex](1 + \frac{3.5}{2\times 100}) ^{2\times16}[/tex]

A = 2000 [tex](1 +0.0175) ^{32}[/tex]

A = 2000 x [tex]1.0175^{32}[/tex]

A = 2000 x 1.74

A = $3480

Thus,

If P = $2000, R = 3.5%, n = 2 and T =16 years.

The amount received on his 16th birthday is $3480.

Learn more about compound interest here:

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Answer:

eat

Step-by-step explanation:

eat

Answer:

D) 290

Step-by-step explanation:

w = 5

l = 12

h = 5

Formula:

SA = 2(wl + hl + hw)

SA = 2(5*12 + 12*5 + 5*5)

SA = 2(60 + 60 + 25)

SA = 2(145)

SA = 290

Answer:

These two equations produce a similar graph because they both share the same slope: 2. The only difference is that the y-intercept for the second equation is a positive 7, making the graph shift upwards. Other than this, both equations would be parallel (and identical) on the graph.

Answer:

B

Divide the speed value by 2.237

80/2.237=35.76

Answer:

35.76

Step-by-step explanation:

Answer:

3 lb = $6.90

2 lb = $4.30

5 lb = $11.50

Step-by-step explanation:

Answer:

The cost of 3 apples: $6.90

The cost of 2 apples: $4.60

The cost of 1 apple: $2.30

Step-by-step explanation:

2.30 times 3 equals $6.90

2.30 times 2 equals $4.60

2.30 times 1 equals $2.30

Side Note:

hope this helps have a nice day :)

Answer:

B

Step-by-step explanation:

Answer:

h(x) =  2x²+2

Step-by-step explanation:

Given the function g is defined as follows.

g(x) = 2x²+7

If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;

h(x) =  2x²+7 - 5

h(x) =  2x²+2

Answer:

answer is 12

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Answer:

the use of a series of numbers with a unique origin indicated by the number zero.

Step-by-step explanation:

In Science, mapping experiment refers to an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

Origin, one of the four characteristics of mapping rules, refers to the use of a series of numbers with a unique origin indicated by the number zero.

In Mathematics, the origin is generally chosen to start from zero on a graph that gives the relationship between two variables.

Answer:

0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The firm found that the population mean amount that all smokers spend on cigarettes is $20 and the population standard deviation is $5.

This means that [tex]\mu = 20, \sigma = 5[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{5}{\sqrt{100}} = 0.5[/tex]

What is the probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average?

This is the pvalue of Z when X = 21 subtracted by the pvalue of Z when X = 19. So

X = 21

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

By the Central Limit Theorem

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

[tex]Z = \frac{21 - 20}{0.5}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 19

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

[tex]Z = \frac{19 - 20}{0.5}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average