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REY [17]
3 years ago
9

Factor the Expression. 8x - 40 * (8x - 5) 8(x - 5) 8(x - 40)

Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0

Answer:

Step-by-step explanation:

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How to solve x^2-7=-x^2+1
andreev551 [17]

Answer:

Step-by-step explanation:

x^2 and -x^2 would cancel

and then it would be -7 = 1

it would be no solution

but I don't know, someone can prove me wrong I may have a lapse in my algebra at the moment

3 0
3 years ago
Find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below
Lyrx [107]

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Plug in the coordinates above:

slope = \frac{-2-1}{2-(-1)}

Simplify:

slope = \frac{-3}{3} = -1

Thus, the rate of change between the points is -1.

8 0
3 years ago
What is an equation of the line that passes through the points (0, -4) and (-4, 6)?
olganol [36]

Answer:

The equation of the line is.

y=-\frac{5}{2}x-4

Step-by-step explanation:

Given:

The given points are (0, -4) and (-4, 6)

The equation of the line passing through the points (x_{1},y_{1}) and (x_{2},y_{2}) is.

\frac{x-x_{1}}{x_{2}-x_{1}}=\frac{y-y_{1}}{y_{2}-y_{1}}

Thus, the equation of the line that passes through the points (0, -4) and (-4, 6) is

\frac{x-0}{(-4)-0}=\frac{y-(-4)}{6-(-4)}

\frac{x}{-4}=\frac{y+4}{6+4}

-\frac{x}{4}=\frac{y+4}{10}

-\frac{10x}{4}=y+4

-10x=4(y+4)

-10x=4y+16

4y=-10x-16

The above equation is divided by 2 both sides.

2y=-5x-8

y=-\frac{5}{2}x-4

Therefore, the equation of the line that passes through the points (0, -4) and (-4, 6) is y=-\frac{5}{2}x-4

8 0
3 years ago
Graph each function.
artcher [175]

Answer:

Step-by-step explanation:

We can recognize that the parent function for all of these graphs is going to be y=x^2. What this means is that we can graph y=x^2 and then apply transformations to it to get to all of these new graphs.

1. y = -x^2 + 5

We can see that the coefficient of the x^2 term is negative which tells us that the graph will now open downwards.

We also know that we are adding 5 on the outside of the argument which means it affect vertical shift. Therefore, we will be moving 5 units up.

2. y = x^2 - 4

We can see that the only change made to this equation is subtracting 4 on the outside of the squared part of the equation. Again, this signifies vertical movement, but since it's negative we will be moving the entire y = x^2 graph down 4 units.

3. y = -x^2 - 1

What do you notice about this graph?

- negative coefficient

- subtracting 1 outside of the argument

What do these mean?

- negative coefficient: opens downwards

- subtracting 1: move entire y = x^2 graph down 1 unit

7 0
3 years ago
Answer the following.
kakasveta [241]

Answer:

Step-by-step explanation:

1) y=2sin\frac{x}{2} -2

Altitude = 2

Period = 2pi/(1/2) = 4pi

(since 1/2 is coefficient of x)

Altitude interval = [-4,0]

Domain interval = set of all real numbers

Phase shift = 0

Vertical shift = 2 down

2) y=-4sin(2x+pi/2)-2

Altitude = 4

Period = 2pi/(2) = pi

(since 2 is coefficient of x)

Altitude interval = [-6,2]

Domain interval = set of all real numbers

Phase shift = pi/2

Vertical shift = 2 down

8 0
3 years ago
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