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3 years ago

What is f(x) = 7x2 + 42x written in vertex form?

2 answers:

5 0

Complete the square
factor out linear coefient
f(x)=7(x^2+6x)
take 1/2 of linear coefient and square it and add negative and positive to inside
6/2=3, 3^2=9

f(x)=7(x^2+6x+9-9)
complete squre
f(x)=7((x+3)^2-9)
expand
f(x)=7(x+3)^2-63 is veretx form
vertex is (-3,-63)

stich3 [128]3 years ago

3 0

Answer:

The answer is D

Step-by-step explanation:

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Have three witches each holding a broom and a spoon. Witches say witch plus witch plus witch =45. Three brooms say broom plus br

GrogVix [38]

Answer:

a=43

Step-by-step explanation:

w+w+w= 45 which means 15+15+15=45

b+b+b=21 which means 7+7+7=21

s+s+s=12 which means 4+4+4=12

w+b×s= a which means 15+7×4= 43

(hope this helps)

6 0

3 years ago

Read 2 more answers

Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches

grigory [225]

Volume:

$V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

$V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}$

So:

$V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height$

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

$r=\frac{8}{2}=4in$

And the height of the cylinder is:

$h=15in$

So:

$V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3$

The volume of a hemisphere is half the volume of a sphere, hence:

$V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3$

Finally, the volume of the composite figure is:

$V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

4 0

3 years ago

Grace is considering purchasing a phone plan. The phone plan

levacccp [35]

Answer:

211 text messages

Step-by-step explanation:

20+(m•0.10)=41.10

41.1-20=21.1÷0.1=211

5 0

2 years ago

Write the equation of the following graph in vertex form.

Marat540 [252]

Answer:

Correct choice is 2. $f(x)=0.4(x+2)(x-5)$

Step-by-step explanation:

We have been given a graph of the quadratic function. Now we need to use that graph to find the equation of the graph in vertex form. By the way given choices written in intercept form so to be accurate we are going to find the equation in intercept form.

from graph we see that x-intercepts are at 5 and -2.

we know that if x=a is x-intercept then (x-a) must be factor.

So (x+2)(x-5) is the factor.

when leading coefficient is positive then graph opens upward.

so that means leading coefficient is 0.4

Hence correct choice is 2. $f(x)=0.4(x+2)(x-5)$

6 0

3 years ago

The circumference of a circle is 12 inches. What is the radius

IceJOKER [234]

Greetings!

"<span>The circumference of a circle is 12 inches. What is the radius?"...

We can use the formula to find the circumference of circle to solve this:
</span> $2 \pi r$
<span>
Input the information we know:
</span> $2 \pi r=12$
<span>
Solve for r, using the properties of equality:

Simplify.
</span> $6.28r=12$
<span>Divide both sides by 6.28
</span> $(6.28r)/6.28=(12)/6.28$ <span>
Simplify.
</span> $r=1.91$

The radius is 1.91cm long.

Hope this helps.
-Benjamin

7 0

3 years ago