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Veronika [31]
2 years ago
6

What is the vertex of g(x)=3x3x^2-12x12x+7 ​

Mathematics
1 answer:
CaHeK987 [17]2 years ago
5 0

Answer:

(2, -5)

Step-by-step explanation:

g(x) = 3x² − 12x + 7

Complete the square.

g(x) = 3 (x² − 4x) + 7

g(x) = 3 (x² − 4x + 4) + 7 − 3(4)

g(x) = 3 (x − 2)² + 7 − 12

g(x) = 3 (x − 2)² − 5

The vertex is at (2, -5).

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A ray and a line intersect to form ∠1 and ∠2 as shown below.
Oksi-84 [34.3K]

Answer:

STEP 3

Step-by-step explanation:

Francesca drew point (–2, –10) on the terminal ray of angle , which is in standard position. She found values for the six trigonometric functions using the steps below.

A unit circle is shown. A ray intersects point (negative 2, negative 10) in quadrant 3. Theta is the angle formed by the ray and the x-axis in quadrant 1.

Francesca made her first error in step 3 because the sine, cosine, and tangent ratios are incorrect, which also resulted in incorrect cosecant, secant, and tangent functions.

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2 years ago
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3 years ago
Which expression is equivalent to the expression below?
natulia [17]

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3 0
2 years ago
(-2,-11);slope=4 write the equation of the line
wolverine [178]

Answer:  y = 4x-3

slope = 4, y intercept = -3

=================================================

m = 4 is the slope

(x_1,y_1) = (-2,-11) is the point the line goes through

Using point slope form, we can say,

y - y_1 = m(x - x_1)\\\\y - (-11) = 4(x - (-2))\\\\y + 11 = 4(x + 2)\\\\y + 11 = 4x + 8\\\\y + 11-11 = 4x + 8-11\\\\y = 4x - 3\\\\

The equation is in slope intercept form y = mx+b

m = 4 = slope

b = -3 = y intercept

------------------------

As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b

y = mx+b

-11 = 4(-2)+b

-11 = -8+b

-11+8 = -8+b+8

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b = -3 we get the same y intercept value as above

------------------------

To check the answer, plug x = -2 into the equation. We should get y = -11

y = 4x-3

y = 4(-2)-3

y = -8-3

y = -11 we get the proper y value. The answer is confirmed.

3 0
3 years ago
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50 ounces = 3.125 pounds Alternative conversion We can also convert by utilizing the inverse value of the conversion factor. In this case 1 pound is equal to 0.32 × 50 ounces. hope this helps you!! <3

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