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4 years ago

Which equation has a graph with a vertex at (-1,-1)?

Mathematics

1 answer:

11111nata11111 [884]4 years ago

6 0

$y = {(x + 1)}^{2} - 1$

The one is a vertical translation of the parent function to the left of one

$f(x) = {x}^{2}$

making it -1.

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Can somebody explain why 8/17 is correct. Will make brainliest.

irina1246 [14]

Answer:

8/17 is correct because cosine = adjacent/hypotenuse, and since angle A is theta, or the reference angle, the adjacent of A would be 8, and the hypotenuse is always across the right angle.

15/17 would be sine instead of cosine

8 0

3 years ago

Explain why the graph shown may be misleading.

Finger [1]

This could be misleading because the vehicles have space in between them. It could be misleading and/or inaccurate because there is "space" not getting measured

6 0

4 years ago

A catapult launches a boulder with an upward velocity of 92 m/s. the height of the boulder, h, in meters after t seconds is give

omeli [17]

Check the picture below.

$\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
h=\stackrel{\stackrel{a}{\downarrow }}{-5}t^2\stackrel{\stackrel{b}{\downarrow }}{+92}t\stackrel{\stackrel{c}{\downarrow }}{+16}
\qquad \qquad 
\left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)$

$\bf \left( -\cfrac{92}{2(-5)}~~,~~16-\cfrac{92^2}{4(-5)} \right)\implies \left(\cfrac{46}{5}~~,~~16+\cfrac{2116}{5} \right)
\\\\\\
\left(\cfrac{46}{5}~~,~~\cfrac{2196}{5} \right)\implies \left(\stackrel{\textit{how long it took}}{9\frac{1}{5}}~~,~~\stackrel{\textit{how high it went}}{439\frac{1}{5}} \right)$

7 0

3 years ago

What polynomial expressions equal 8x^3+64?

Natali5045456 [20]

Answer:

$\displaystyle \boxed{8[x + 2][x^2 - 2x + 4]}$

Step-by-step explanation:

Use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] to figure this out:

$\displaystyle 8x^3 + 64 \\ 8[x^3 + 8] \\ \\ x + 2 = \sqrt[3]{x^3 + 8}$

Then, since the divisor\factor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, −c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

−2| 1 0 0 8

↓ −2 4 −8

___________

1 −2 4 0 → ${x}^{2} - 2x + 4$

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x³ + 8]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², the −2x follows right behind it, then 4, giving you the other factor of $x^2 - 2x + 4$ , attaching this to the first two factors you started out your work on:

$\displaystyle \boxed{8[x + 2][x^2 - 2x + 4]}$

I am joyous to assist you anytime.

6 0

4 years ago

It would mean a lot if you helped:)

nataly862011 [7]

1. yes
2.no
3.yes
4. no
5. yes

3 0

4 years ago