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3 years ago

To convert a capacity of 8.7 gallons to quarts, which ratio could you multiply by? remember that 1 gallon = 4 quarts.

Mathematics

1 answer:

Papessa [141]3 years ago

3 0

Using the factor label method, you would set up your ratio like so: $8.7 gall * \frac{4 qts}{1 gall}$

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

What's the answer to 16-12+12x17

daser333 [38]

16-12+12x17= 208 u should use a calcuator

4 0

3 years ago

Read 2 more answers

16x+9=9y-2x Solve for y

Novay_Z [31]

Y=2x+1... I hope this helps love! :)

8 0

3 years ago

What percent of all children like the Simpsons? Round your answer to the nearest tenth of a percent. Type a numerical answer

juin [17]

90/300

To make it simpler, make it,out of 100 by dividing it all by 3. This will make it:

30/100

Therefore it is 30%

3 0

3 years ago

Read 2 more answers

A charity received a donation of 25.6 million. If this represents 54% of the charity‘s donated funds, what is the total amount o

Stells [14]

Answer:

Step-by-step explanation:

100%-54%=46%

46%*25.6m=11,776,000

25,600,000+11,776,000=

37,376,000 Answer

5 0

3 years ago