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vaieri [72.5K]
3 years ago
9

What’s the axis of symmetry for the quadratic equation y=3x^2+5x-2? Would really appreciate it if someone knew! :)

Mathematics
2 answers:
vesna_86 [32]3 years ago
8 0

The y axis? As the graph is symmetrical on either side of it

Reptile [31]3 years ago
3 0

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+5}x\stackrel{\stackrel{c}{\downarrow }}{-2} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)

\bf \left( -\cfrac{5}{2(3)}~~-2-\cfrac{5^2}{4(3)} \right)\implies \left(-\cfrac{5}{6}~~,~~-2-\cfrac{25}{12} \right)\implies \stackrel{\stackrel{axis~\hfill }{coordinate\qquad }}{\left(-\cfrac{5}{6}~~,~~-\cfrac{49}{12} \right)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{axis of symmetry}}{x=-\cfrac{5}{6}}~\hfill

let's notice, that the squared variable is the "x", and therefore this is a vertical parabola whose axis of symmetry is the vertical line equation of the x-coordinate of its vertex.

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Point Coordinate
telo118 [61]

Step 1:

First, let's order the number from least to greatest.

A. -0.31

B. -0.33

C. -0.38

D. -0.29

We could see that A, B, and C's numbers are already from least to greatest, so all we have to do is to move -0.29 (D) up to the top, since -0.29 is the number with the lowest value.

C. -0.38

B. -0.33

A. -0.31

D. -0.29

Step 2:

Let's look at the four number lines. Remember that we already organized the numbers from least to greatest, so the order they go in on the number line is: C, B, A, and D. Since Line C and D Don't follow that rule, we know those are not our answers. Also on line B, C is on the left of -0.4, but C's value is less than -0.4, so B is wrong. We are left with line A.

Line A: C. -0.38, B. -0.33, A. -0.31, D. -0.29

Our answer: Line A

5 0
3 years ago
In Haley's favorite video game, players stack blocks to create buildings. Haley builds a fort shaped like a cube. Haley's fort h
Mama L [17]

Answer:

729 cubic meters

Step-by-step explanation:

Volume of cube is given by side^3

where side is length of the side

Given in the problem

side is 9 meters as length, width, and height of fort is 9 meters and it is in cube shape .

Thus,

volume of cube = 9^3 = 9*9*9 = 729

Thus, volume of Haley's fort is 729 cubic meters.

3 0
3 years ago
Please only responded if you can help
MAVERICK [17]

Answer:

for the first picture:

1. 1

2. 0.8

3. 0.4

for the second picture:

2,256

srry if i needed to show the steps

4 0
3 years ago
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wlad13 [49]
The answer would be c
4 0
3 years ago
You answer 32 questions correctly on a 45 question test. You need a score of at least 70% to pass. Do you pass? Explain
Taya2010 [7]

Answer:

Yes

Step-by-step explanation:

32 divided by 45 = .7111111111111111111

7 0
3 years ago
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