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Nimfa-mama [501]
2 years ago
12

Will mark brainly!! :)

Mathematics
1 answer:
Nat2105 [25]2 years ago
3 0

Answer:

(2,1)

Step-by-step explanation:

The answer is (2,1)

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Find the x intercept of the parabola with vertex 3,-2 and y intercept 0,7 round to the nearest hundredth
12345 [234]
An x-intercept is namely a "solution" or "zero" or "root" often called, and when that happens, y = 0, just like with any other x-intercept.

\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
\begin{cases}
h=3\\
k=-2
\end{cases}\implies y=a(x-3)^2-2
\\\\\\
\textit{we also know that }
\begin{cases}
x=0\\
y=7
\end{cases}\implies 7=a(0-3)^2-2
\\\\\\
9=9a\implies \cfrac{9}{9}=a\implies 1=a\qquad therefore\qquad \boxed{y=(x-3)^2-2}

so what is its x-intercept anyway?

\bf \stackrel{y}{0}=(x-3)^2-2\implies 2=(x-3)^2\implies \pm\sqrt{2}=x-3
\\\\\\
\pm\sqrt{2}+3=x\qquad therefore\qquad (\pm\sqrt{2}+3~~~~,~~~~0)
5 0
3 years ago
The area of the rectangle as a single expression
Ne4ueva [31]

Answer: A=15x^2+6x-48

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

A=l*w

Where "l" is the length and "w" is the width.

You can identify from the figure that the length and the width of this rectangle are:

length=3(x+2)\\width=5x-8

Then, you need to substitute this lenght and this width into A=l*w:

A=3(x+2)(5x-8)

Now, apply Distributive property:

A=(3x+6)(5x-8)\\\\A=15x^2-24x+30x-48

Finally, you need to add the like terms. Then, you get:

A=15x^2+6x-48

5 0
3 years ago
Sarah has whole milk, which contains 3.25% butterfat by volume, and one type of low-fat milk,
givi [52]

Answer:

D is the answer

Step-by-step explanation:

We want a mixture of low-fat and whole milk to equal 32ounces

Therefore, we know one equation is:

l + w = 32

That 32 ounce mixture should be 2% butter fat

So the amount of butter fat we want is

2% of 32 = 0.64 ounces

At the same time, this mixture contains low-fat and whole milk, which contain 1% and 3.25% butter fat respectively.

therefore, the butter fat in low-fat and whole milk is 0.01l and 0.0325w respectively.

The coefficients are just the percentages in decimal form

Due to the law of conservation of mass,

The addition of these two should yield the final amount of butter fat, meaning the other equation is:

0.01l + 0.0325w = 0.64

7 0
2 years ago
IM SORRY FOR THE SPAM!! BUT MY TEACHER GAVE US 93 QUESTIONS. AND ITS 7 GRADES AND I NEED AS MUCH HELP.
julsineya [31]

A.

After h hours Cary makes 5h dollars so after paying mom has

5h - 6

dollars left.

B.

When h=3 then 5h-6=5(3)-6=15-6=9

Cary will have $9 left


8 0
3 years ago
A rectangle has a volume of 912 cubic meters. It has a length of 19 meters and a width of 12 meters. Which equation can be used
Nimfa-mama [501]
The answer would be B because LWH=V, so taking the information given, L(19) times W(12) would equal 228 and 228 times the H would give us volume so B
Hope this helped ;)
3 0
3 years ago
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