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4 years ago

What fraction of 1 gallon is 3 quarts?

Mathematics

2 answers:

natka813 [3]4 years ago

6 0

The answer for this is 1/4

valentinak56 [21]4 years ago

4 0

Answer:

1/4

Step-by-step explanation:

because 4 quarts equal 1 gallon and 4-3=1 so im positive that it is 1/4

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Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x 2. What is the function’s vertex? (one-half, seven-

nydimaria [60]

Vertex of the quadratic equation is the highest or the lowest point of the quadratic equation.

<h3>Given-</h3>

The given equation in the question is,

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

<h3>Vertex of the quadratic equation</h3>

Vertex of the quadratic equation is the highest or the lowest point of the quadratic equation.

To find the vertex of the equation we need to compare the given equation with the following equation.

$f(x)=a(x-h)^2+k$

Here h and k are the vertex of the equation.

The given equation is,

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

Rewrite the equation,

$f(x) = x^2 - x +(\dfrac{1}2)^2} +2-(\dfrac{1}2)^2}$

$f(x) = x^2 - x +\dfrac{1}{4} +2-\dfrac{1}4}$

$f(x) =(x-\dfrac{1}{2} )(x-\dfrac{1}{2} )+2-\dfrac{1}{4}$

$f(x) =(x-\dfrac{1}{2} )^2+\dfrac{7}{4}$

Thus the vertex of the quadratic equation is 1/2 and 7/4.

Learn more about the vertex of the quadratic equation here;

brainly.com/question/6356924

3 0

3 years ago

What is 3 1/2*4 5/6?

Paladinen [302]

3 1/2=7/2
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8 0

3 years ago

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What is the vertex form of y=2x^2-8x+1

bezimeni [28]

Answer:

$2(x-2)^2-7$

Step-by-step explanation:

$y=2x^2-8x+1$

When comparing to standard form of a parabola: $ax^2+bx+c$

$a=2$
$b=-8$
$c=1$

Vertex form of a parabola is: $a(x-h)^2+k$ , which is what we are trying to convert this quadratic equation into.

To do so, we can start by finding "h" in the original vertex form of a parabola. This can be found by using: $\frac{-b}{2a}$ .

Substitute in -8 for b and 2 for a.

$\frac{-(-8)}{2(2)}$

Simplify this fraction.

$\frac{8}{4} \rightarrow2$

$\boxed{h=2}$

The "h" value is 2. Now we can find the "k" value by substituting in 2 for x into the given quadratic equation.

$y=2(2)^2-8(2)+1$

Simplify.

$y=-7$

$\boxed{k=-7}$

We have the values of h and k for the original vertex form, so now we can plug these into the original vertex form. We already know a from the beginning (it is 2).

$a(x-h)^2+k\\ \\ 2(x-2)^2-7$

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3 years ago

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Vesnalui [34]

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kvasek [131]

Answer:

Step-by-step explanation:

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3 years ago

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