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3 years ago

7

Find the equation of the linear function represented by the table below in slope-

1 answer:

Naddik [55]3 years ago

5 0

9514 1404 393

Answer:

y = -4x -2

Step-by-step explanation:

The slope is given by the formula ...

m = (y2 -y1)/(x2 -x1)

m = (-10 -10)/(2 -(-3)) = -20/5 = -4

__

The y-intercept is given by ...

b = y1 -m(x1)

b = 10 -(-4)(-3) = 10 -12 = -2

Then the slope-intercept equation is ...

y = mx +b

y = -4x -2

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Can anyone help me on this

Anastaziya [24]

If their slopes are the same, the line are parallel, which means in number 3 and 5 the lines are parallel.
If one slope is the reciprocal of the other one with opposite sign, then they are perpendicular. Fir example lines with these slopes are perpendicular: 8/9 and -9/8
So, in number 4, 8 and 10 lines are perpendicular.

6 0

3 years ago

Y=2x^2+7x What are the x-intercepts of this graph?

marin [14]

y=2x^2+7x

factor out an x

y = x(2x+7)

using the zero product property

0 = x 0 = 2x+7

x = 0 -7 = 2x

-7/2 =x

The x intercepts are 0 , -7/2

3 0

3 years ago

A tank contains 500 liters of water in which 300 grams of corn sugar is dissolved. Freshwater is then pumped into the tank at a

MrRa [10]

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2 years ago

What is the axis of symmetry for the graph of y – 4x = 7 – x2

eimsori [14]

we know that

The equation in vertex form of a vertical parabola is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to the x-coordinate of the vertex

so

$x=h$ -----> equation of the axis of symmetry

In this problem we have

$y-4x=7-x^{2}$

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$y-7=-x^{2}+4x$

$y-7=-(x^{2}-4x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$y-7-4=-(x^{2}-4x+4)$

$y-11=-(x^{2}-4x+4)$

Rewrite as perfect squares

$y-11=-(x-2)^{2}$

$y=-(x-2)^{2}+11$

the vertex is the point $(2,11)$

therefore

<u>the answer is</u>

The axis of symmetry is

$x=2$

see the attached figure to better understand the problem

5 0

4 years ago

Read 2 more answers

Factorize 2x⁴+x³-14x²-19x-6 <br>no spam and kindly explain your answer!

Aleks04 [339]

Step-by-step explanation:

Consider given the expression,

⇒2x4+x3−14x2−19x−6

⇒x3(2x+1)−(14x2+19x+6)

⇒x3(2x+1)−(14x2+7x+12x+6)

⇒x3(2x+1)−[7x(2x+1)+6(2x+1)]

⇒x3(2x+1)−(2x+1)(7x+6)

⇒(2x+1)(x3−7x−6)

Hence, this is the answer.

4 0

3 years ago

Read 2 more answers