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3 years ago

Which of the following represents the factored form of f(x) = x3 − 64x?

Mathematics

1 answer:

sp2606 [1]3 years ago

8 0

Answer:

x(x + 8)(x - 8)

Step-by-step explanation:

Given

x³ - 64x ← factor out x from each term

= x(x² - 64) ← x² - 64 is a difference of squares

= x(x + 8)(x - 8) ← in factored form

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Romeo shot 15 free-throws in last night's game. His coach told him he had an 80% free-throw percentage. How many did he make? (c

Fofino [41]

Answer:

30 throws

Explanation:

Given

Total throw shot by Romeo = 15 throws

If he had an 80% free-throw percentage;

additional throw = 80% of 15

additional throw = 0.8 * 15

additional throw = 12 throws

Toal throws made = 15 + 12

Total throws made = 30 throws

Hence the made 30 throws

7 0

1 year ago

A square building with an area of 225 m2 has a garden surrounding it that has an equal width on all sides. The area of the garde

xenn [34]

Answer:

The width of the garden is 1.16 m

Step-by-step explanation:

step 1

<em>Find the area of the garden</em>

To find out the area of the garden multiply by 1/3 the area of the building

$225(\frac{1}{3})=75\ m^2$

step 2

Find the length side of the square building

The area of a square is

$A=b^2$

where

b is the length side of the square

we have

$A=225\ m^2$

$b^2=225\\b=15\ m$

step 3

Find the width of the garden

Let

x ----> the width of the garden

we know that

The area of the building plus the area of the garden is equal to

$(15+2x)^2=225+75$

solve for x

$225+60x+4x^2=225+75\\4x^2+60x-75=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is x=1.16 m

see the attached figure

therefore

The width of the garden is 1.16 m

Find the exact value

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^2+60x-75=0$

$a=4\\b=60\\c=-75$

substitute in the formula

$x=\frac{-60\pm\sqrt{60^{2}-4(4)(-75)}} {2(4)}$

$x=\frac{-60\pm\sqrt{4,800}} {8}$

$x=\frac{-60\pm40\sqrt{3}} {8}$

$x=\frac{-60+40\sqrt{3}} {8}\ m$ ----> exact value

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3 years ago

-6 + (-2) + 5= ? <br><br> Help would really be appreciated!! :)

kvasek [131]

Answer:

-3

Step-by-step explanation:

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3 years ago

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If log subscript 2 left parenthesis 3 x minus 2 right parenthesis equals 4, then what is the value of x?

elena-14-01-66 [18.8K]

Answer:

x = 6

See image.

Step-by-step explanation:

Logarithms are just another way to write exponents. The base on the logarithm that is the small font subscript IS the base (normal font/on the line) of an exponential equation. The "answer" in the logarithmic equation is the exponent (small font/superscript) .It is just a triple shuffle. When the logarithmic equation cant be worked on to solve it, CHANGE IT to exponential form. See image.

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2 years ago

What fraction of the votes did Yolanda receive?

Ksju [112]

The fractions of votes that yolanda received was 11/35

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4 years ago

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