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3 years ago

20 POINTS

Mathematics

1 answer:

yan [13]3 years ago

6 0

Answer:

D. 6x^3 + 8x

Step-by-step explanation:

2x(3x^2 + 4)

Distribute the 2x

2x(3x^2) +2x( 4)

6x^3 +8x

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Find the average rate of change of f(x)=2x^2-7x from x=2 to x=5

m_a_m_a [10]

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the close interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [2, 5 ]

f(b) = f(5) = 2(5)² - 7(5) = 50 - 35 = 15

f(a) = f(2) = 2(2)² - 7(2) = 8 - 14 = - 6, thus

average rate of change = $\frac{15-(-6)}{5-2}$ = $\frac{21}{3}$ = 7

3 0

3 years ago

Find the value of c that completes the square

PilotLPTM [1.2K]

Answer:

The value of c that completes the square $x^2+2x+c$ is 1

Step-by-step explanation:

We need to find the value of c that completes the square $x^2+2x+c$

The formula used will be: $a^2+2ab+b^2=(a+b)^2$

In the question given the value c can be found by breaking the middle term. we are given 2x while the general formula is 2ab for middle term so,

2(x)(1) = 2x

so, c= 1

Solving:

$x^2+2x+c\\=x^2+2(x)(1)+(1)^2-(1)^2\\=(x+1)^2-1$

So, the value of c that completes the square $x^2+2x+c$ is 1

6 0

2 years ago

Can you find the area please?

lilavasa [31]

Answer:

Step-by-step explanation:

you do 5x7 35 and 6x3 then divided by 2 is 9 and you add them up and you get 44.

Alternate solution. 5x3 divded 2 =7.5 plus 6x3 divided by 2 = 9 plus 7x ? = 27.5!

4 0

3 years ago

Read 2 more answers

the science teacher has 7 packs of seeds and 36 students if the student should each plant the same number seeds how many each st

Masteriza [31]

Answer:

each student would plant 252 seeds

4 0

2 years ago

Which equation represents the circle described? (in picture)

Sedaia [141]

You are right. In circle equation we have =r² so the correct answer will be C od D. But we have to calculate the center of a circle.

$x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24$

Complete the square:

$x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2$

And we have:

$(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}$

So the answer is C (the same left side of equation).

6 0

3 years ago