PLEASE HELP WITH THESE 4 questions I DONT GET IT ASAP thank you in advance

Mathematics

2 answers:

alex41 [277]3 years ago

4 0

Answer:

2. 31/6 3. -12/1 4. integer 5. rational number

Step-by-step explanation:

2. You multiply the 5 by 6/6, so it becomes 30/6, then add the 1/6. getting you the 31/6.

3. Since -12 is already an integer with no mixed part, you just put it over 1.

4. -12 is an integer, but is not a whole number because it is negative.

5. fractions are rational numbers

erica [24]3 years ago

3 0

Answer: 4. is not a rational nmber. You can't multiply a number that will give you 12. 12 has a integer by it, so that means -12 is a integer. 5. is a rational number.

Step-by-step explanation:

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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

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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?

$\bf \stackrel{y}{0}=(x-3)^2-2\implies 2=(x-3)^2\implies \pm\sqrt{2}=x-3
\\\\\\
\pm\sqrt{2}+3=x\qquad therefore\qquad (\pm\sqrt{2}+3~~~~,~~~~0)$

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Answer:

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Step-by-step explanation:

To find the answer just multiply 7 by 3 and that's 21, so just add a negative sign to 21 and you get -21. I hope this helps :) please give me brainliest :)

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