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3 years ago

The question is in the screenshot attached. Thank you!

Mathematics

1 answer:

Rzqust [24]3 years ago

7 0

Answer:

Domain: -4 < x < 4

Zeros: (-2, 0), (0, 0) and (2, 0)

The function is positive if: 0 < x < 2

The function is negative if: -4 < x < 0 and 2 < x < 4

Step-by-step explanation:

Domain of the function are those x values where the function is defined, For this case, -4 < x < 4

Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)

The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)

The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)

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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

2 years ago

Carmen simplifies the expression (4 y 8 x 6) 25 (4 x 6 y 7). The coefficient of the variable y in her simplified answer is 4. 6.

Sever21 [200]

Carmen simplifies the expression and gets the coefficient of y is 10. Thus, the correct option is C.

<h3>What is simplification?</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

Carmen simplifies the expression $\rm (4 y + 8 x + 6) + 25 + (4 x +6 y +7)$ .

We can add x term with x, y term with y, and constant with constant.

On simplifying, we have

$\rm (4 y + 8 x + 6) + 25 + (4 x +6 y +7)\\\\12x + 10y + 38$

Thus, the coefficeint of y is 10.

More about the simplification link is given below.

brainly.com/question/12616840

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1 year ago

What is 489,493-763=?

Free_Kalibri [48]

Answer:

488,730

Step-by-step explanation:

Imagine you had 489,493 (anything) and you take away 763.

It would give you 488,730!

8 0

3 years ago

In the first two pull-down tabs, there are three things listed (translated, reflected, and rotated.) I pulled down the third tab

avanturin [10]

Answer:

I think reflected then rotated clockwise on around center h at 60 degrees

Step-by-step explanation:

Im almost sure about this but this was confusing

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2 years ago

Use inverse operations to solve each equation.

omeli [17]

1) -2x = 34
The inverse of multiplication is division, so divide both sides by -2.
x = -17

2) y - 3.5 = -2.1
The inverse of subtraction is addition, so add 3.5 to both sides.
y = 1.4

3) 2/3z = -6
The inverse of division is multiplication, so multiply both sides by 3z
2 = -18z
z = -1/9

6 0

3 years ago