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3 years ago

Need help pls! 18 points

Mathematics

1 answer:

Scrat [10]3 years ago

6 0

Answer:

Step-by-step explanation:

so you do it and you get 13

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Consider the function p(x) = x^2 + 6x + 5. <br> what is the average rate of change from x=1 to x=5

leva [86]

Answer:

The average rate of change is 12.

Step-by-step explanation:

Given

p(x)= x^2+6x+5

The average rate of change in the given interval a ≤ x ≤ b is given by the expression

Rate of change= (p(b)-p(a))/(b-a)

Here p(b) is the value of function at point b and p(a) is the value of function point a.

From the question,

a = 1

and

b = 5

So,

Rate of change= (p(5)-p(1))/(5-1)

Now,

p(5)= (5)^2+6(5)+5

p(5)=25+30+5

p(5)=60

And

p(1)= (1)^2+6(1)+5

p(1)=1+6+5

p(1)=12

Putting in the formula

Rate of change= (60-12)/(5-1)

= 48/4

=12

8 0

3 years ago

Sarah and Gavyn win some money and share it in the ratio 5:3.Sarah gets ?26 more than Gavyn.How much did Gavyn get?

ipn [44]

Answer:

$39 did Gavyn get

Step-by-step explanation:

Given the statement: Sarah and Gavyn win some money and share it in the ratio 5:3.

Let the number be x

Then, Sarah win money be 5x and Gavyn win money be 3x.

Also, it is given that Sarah gets $26 more than Gavyn.

⇒ 5x = 26 + 3x

Subtract 3x from both sides we get;

5x -3x = 26 + 3x -3x

Simplify:

2x = 26

Divide both sides by 2 we get;

$\frac{2x}{2} = \frac{26}{2}$

Simplify:

x =13

∵Gavyn win money 3x = 3(13) = $39

Therefore, Gavyn get, $39.

3 0

3 years ago

In the HANES5 sample, the average height of the boys was 137 cm at age 9 and 151 cm at age 11. At age 11, the average height of

Ymorist [56]

Answer:

a) Average age of girls is also 151.

b) $h_{10}=144cm$

Step-by-step explanation:

From the question we are told that:

Average height of the boys at age $h_9= 137 cm$

Average height of the boys at age $h_11= 151 cm$

Since

The average height of all the children was 151 cm.

This implies that The average height of all children is 151

Therefore

Average age of girls is also 151.

Assuming all factors being equal

Height of 10 year old boy

$h_{10}=\frac{h_9+h_11}{2}$

$h_{10}=\frac{137+151}{2}$

$h_{10}=144cm$

Therefore my Guess is

$h_{10}=144cm$

3 0

3 years ago

Evaluate the integral. (3 + 1/4 u^4 − 2/3 u^9) du

polet [3.4K]

6 0

3 years ago

Parallelogram ABCD has vertices at A(2,-3), B(8,-6), Cl14,-3), and D(8,0)

OlgaM077 [116]

Answer:

The correct option is C.

Step-by-step explanation:

The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of sides are

$AB=\sqrt{(8-2)^2+(-6+3)^2}=\sqrt{36+9}=\sqrt{45}$

$BC=\sqrt{(14-8)^2+(-3+6)^2}=\sqrt{36+9}=\sqrt{45}$

$CD=\sqrt{(8-14)^2+(0-3)^2}=\sqrt{36+9}=\sqrt{45}$

$AD=\sqrt{(8-2)^2+(0+3)^2}=\sqrt{36+9}=\sqrt{45}$

Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.

Slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of AB is

$m_1=\frac{-6-(-3)}{8-2}=\frac{-3}{6}=\frac{-1}{2}$

Slope of BC is

$m_2=\frac{-3-(-6)}{14-8}=\frac{3}{6}=\frac{1}{2}$

Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.

8 0

3 years ago