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3 years ago

Find the coordinates of the vertex for the parabola defined by the given quadratic function.

Mathematics

1 answer:

Nikolay [14]3 years ago

5 0

The vertex would be (5, 27)

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F(x)=(5x+1)(4x−8)(x+6)f, left parenthesis, x, right parenthesis, equals, left parenthesis, 5, x, plus, 1, right parenthesis, lef

andrey2020 [161]

Answer:

$x=-\frac{1}{5} \:or \: x=2 \:or\: x=-6$

Step-by-step explanation:

Given $f(x)=(5x+1)(4x-8)(x+6)$

The zeros of the polynomial function are the point where the function f(x) equals zero.

$f(x)=(5x+1)(4x-8)(x+6)=0$

If abc=0, then a=0 or b=0 or c=0

Therefore:

$(5x+1)(4x-8)(x+6)=0 \:means\\5x+1=0 \:or \: 4x-8=0 \:or\: x+6=0\\5x=-1 \:or \: 4x=8 \:or\: x=-6\\x=-\frac{1}{5} \:or \: x=2 \:or\: x=-6$

6 0

3 years ago

Mom is getting food ready for my birthday party! including me, there will be 24 people at the party. Mom is baking cupcakes for

Brilliant_brown [7]

You should tell your mom to bake 8 cupcake batches

7 0

2 years ago

Pls help, I don't understand

Ne4ueva [31]

1 Yes 2. Yes

Step-by-step explanation:

they are similar because in problem one each side is related by a factor of 3

in problem 2 each side is related by a factor of 2.

5 0

3 years ago

Carol is baking cookies and needs 2 1/4 cups of flour 2/3 cup of white sugar 1/4 cup of brown sugar and 1/16 cup of baking soda

dmitriy555 [2]

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4 0

4 years ago

A can holds 4 golf balls. The diameter of each golf ball is 5 cm. What is the volume of the empty space inside the can?

forsale [732]

Answer:

Volume of the empty space in the can is 327.05 $cm^3$

Step-by-step explanation:

Given:

Number of golf ball the can holds = 4

Diameter of the golf ball = 5 cm

To Find:

Volume of the empty space in the can = ?

Solution:

Step 1: Finding the volume of one golf ball

Ball is shape of the sphere

So lets use the volume of the sphere formula

Volume of the golf ball = $\frac{4}{3}\pi r^3$

Radius = $\frac{5}{2}$ = 2.5 cm

Substituting the values

Volume of the golf ball

= $\frac{4}{3} \pi \times(2.5)^3$

= $\frac{4}{3} \pi \times (15.625)$

= $\frac{4}{3} \times 49.06$

= $\frac{196.24}{3}$

= 65.41

Step 2: Finding the volume of empty space of the can

volume of empty space of the can = volume of 5 golf ball

= 5 X 65.41

= 327.05

7 0

4 years ago