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3 years ago

Y=-3x2 + 18x + 10 what is the axis of symmetry step by step?

Mathematics

1 answer:

postnew [5]3 years ago

8 0

Answer and Step-by-step explanation:

$\frac{-b}{2a}$ is the equation to find the axis of symmetry of a quadratic equation.

$y = -3x^{2} + 18x + 10$

-3 = a

18 = b

10 = c

Now we plug the values into the equation.

$\frac{-(18)}{2(-3)} \\\\\\\frac{-18}{-6} \\\\\\3$

The axis of symmetry is on the line x = 3.

#teamtrees #WAP (Water And Plant)

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Pls help if I don’t finish today mom will hurt me

kherson [118]

Answer:

We conclude that:

g(10) = 8

Step-by-step explanation:

First, we need to clear some concepts on how to fetch input and output from the function graph.

Determining the y-intercept:

We know that the y-intercept of the graph function can be determined by setting x = 0 and determining the corresponding y-value.

From the graph it is clear that x = 0, the value of y = 5. In other words, the graph intersects the y-axis at y = 5.

Therefore, the y-intercept of the graph is (0, 5).

Thus,

g(0) = 5

Determining the x-intercept:

We know that the x-intercept of the graph function can be determined by setting y = 0 and determining the corresponding x-value.

From the graph, it is clear that y = 0, the value of x = -10. In other words, the graph intersects the x-axis at x = -10.

Therefore, the x-intercept of the graph is (-10, 0).

Thus,

g(-10) = 0

Determining g(10):

From the graph, it is clearly visible that at x = 10, the value of the function output y = 8.

In other words,

at x = 10, g(10) = 8

Therefore, we conclude that:

g(10) = 8

5 0

3 years ago

M 5x + 1 A 3x (4x + 2)9 N L If LA is an altitude of triangle LMN, find the following: MNE

Darya [45]

I d k the answer but thanks for the points! LOL

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3 years ago

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. Find the number.

Monica [59]

Equation to find number: $\frac{1}{n}$ - 3 = $\frac{20}{n}$

Number's value: n = $-\frac{19}{3}$

Step-by-step explanation:

Let n be the unknown number.

The reciprocal basically makes the number (n in this case) a fraction. So, that being said, the reciprocal of n would be $\frac{1}{n}$ .

The difference of three and the reciprocal of a number ( $\frac{1}{n}$ ) would be $\frac{1}{n}$ - 3.

The quotient of 20 and the number (n) would be $\frac{20}{n}$ .

So, with this information we've gathered so far, we can come up with an equation to find what the number equals.

Equation: $\frac{1}{n}$ - 3 = $\frac{20}{n}$

To find what the number equals we must solve the equation.

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3 years ago

Name a set of vertical angles in the image below:

melomori [17]

<h3>Answer: B) 1 & 3</h3>

Explanation:

Vertical angles form when we have an X shape like this. They are opposite one another and always congruent. Angles 2 and 4 is the other set of vertical angles.

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2 years ago

Read 2 more answers

2sin^(-2490)+tan 1410

givi [52]

2sin²(-2490)+tan 1410=2sin²(-330-6*360)+tan (330+3*360)=
=2sin²(-330)+tan (330)=2 sin²(30-1*360)+tan (-30)=
=2sin²(30)-tan (30)=2(1/2)²-√3/3=1/2-√3/3)=(3-2√3)/6

Answer: 2 sin²(-2490)+tan (1410)=(3-2√3)/6 (≈-0.07735...)

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3 years ago