What is the value of this expression

Mathematics

1 answer:

Finger [1]2 years ago

7 0

8*8*8 = 512. Te negative gets removed.

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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

2 years ago

WILL MARK BRAINLIEST!!!

I am Lyosha [343]

The first one should be correct.

6 0

3 years ago

If g(x) = 3x − 4, what is the value of g−1(g(13))?

Vsevolod [243]

The function g(x) = 3x-4 is a linear function. Therefore the inverse does exist (which is also linear)

Because we have an inverse, this means we can use the rule
$g^{-1}(g(x)) = x$

Replace x with 13
$g^{-1}(g(x)) = x$
$g^{-1}(g(13)) = 13$

The answer is choice D

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3 years ago

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0.08kg of fertilizer left

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Which statement is true? A Angle 2 and angle 4 are vertical angles. B. Angle 3 and angle 6 are complementary angles. C. Angle 1

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Answer:

B angle 3 and 6 are complementary angles

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2 years ago