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2 years ago

6. What is the equation of the line with a y-intercept of -10 and a slope of 3?

Mathematics

1 answer:

Dmitrij [34]2 years ago

5 0

Answer:

D and B

Step-by-step explanation:

Hope this helped

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Find the volume of a right rectangular prism with a length of 4 units, a width of 3 units, and a height of 5 units. A. 12 cubic

Aleksandr [31]

Answer: 60

Step-by-step explanation:

V = w h l = 3 x 5 x 4 = 60

Hope this helped, if not i can do the problem again :)!

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3 years ago

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

Solve the system of equation by elimination. 4x-3y=-21 5x+3y=-6

Lena [83]

Answer:x=-3,y=3

or (-3,3)

Step-by-step explanation:

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3 years ago

I live in United States and I want to move to Scotland I'm trying to understand the conversion of money I understand one US doll

NeTakaya

4400 because you multiply 5000 with 0.88 to get your answer.

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3 years ago

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The ratio of the radii of two circles C1 and C2 is 1.5.

IRINA_888 [86]

Answer:

Below in bold.

Step-by-step explanation:

The circumference is one dimensional so the ratio is the same as the radii,

1.5.

The areas are 2 dimensional so the ratio is 1.5^2 = 2.25.

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3 years ago