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3 years ago

Please answer asap What is the value of x in the equation 3(2x + 4) = −6?

1 answer:

5 0

First divide 3 both side
Than move 4 to another side
Than divide by 2
$\frac{3(2x + 4)}{3} = \frac{ - 6}{3 } \\ 2x + 4 = - 2 \\ 2x = - 2 - 4 \\ 2x = - 6 \\ \frac{2x}{2} = \frac{ - 6}{2} \\ x = - 3$

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The rule for Function A is y= -2/3x

Rom4ik [11]

Answer:

Both functions have negative rates of change

Function B has a greater rate of change than Function A

Step-by-step explanation:

we know that

Function A

The rule for Function A is

$y=-\frac{2}{3}x$

This is the equation of a proportional relationship (the line passes through the origin)

The slope is equal to $m=-\frac{2}{3}$

Function B

Find the equation of the function B

we have the points (-2,0) and (0,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-2-0}{0+2}$

$m=\frac{-2}{2}$

$m=-1$

The equation of the function B in slope intercept form is equal to

$y=mx+b$

we have

$m=-1\\b=-2$

substitute

$y=-x-2$

Verify each statement

Option 1) Both functions have negative rates of change

The statement is true

Because, the rate of change is the slope of the linear equation

Function A ----> $m=-\frac{2}{3}$

Function B ----> $m=-1$

Option 2) Both functions have the same rate of change.

The statement is false (see the explanation)

The rate of change are different ( m=-2/3 and m=-1)

Option 3) When graphed, Function A and Function B are parallel

The statement is false

When graphed, Function A and Function B are intersecting lines, because their slopes are different

Option 4) Function B has a greater rate of change than Function A

The statement is true

Remember that the rate of change can be either positive (increasing function) or negative (decreasing function). To find out which function has a greater rate of change, compare the absolute value of their slopes

therefore

1 > 2/3

6 0

3 years ago

Choose the ratio that is equivalent to this one: 9/10 A) 30/27 B) 27/30 C) 27/29

Licemer1 [7]

Answer: B

Step-by-step explanation: if you divide 27/30 by 3 you get 9/10

4 0

3 years ago

Read 2 more answers

An ice cream shop sells cones at the volume of 94.2 cubic meters they want to double the volume of the cones without changing th

marin [14]

The volume of a cone is $V=\pi r^2\frac{h}3$ where r = radius and h = height. If the cone has a volume of 94.2 cm³ (I assume you didn't mean m³ because that would be ridiculously huge) and a height of 10 cm, we can plug these values into the formula to find the radius. Don't do any rounding.

$94.2 = \pi r^2\frac{10}3 \\ 282.6 = \pi r^2 *10 \\ 28.26 = \pi r^2 \\ 8.99543738355 = r^2 \\ 2.99923946752=r$

Now we know that's going to be the radius of our new cone as well since we're keeping the diameter the same. The volume is going to be double 94.2 which is 188.4. Let's solve for the height.

$188.4 = \pi (2.99923946752)^2\frac{h}3 \\ 188.4 = \pi(8.99543738355)\frac{h}3 \\ 188.4 = 28.26\frac{h}3 \\ 565.2 = 28.26h \\\\ \boxed{h = 20, r\approx 3}$

5 0

3 years ago

PLEASE HELP What is the volume? 0.3 ft 0.3 ft 0.3 ft cubic feet

Firlakuza [10]

0.3 is CB ft so 3€ is 4 in Us

8 0

2 years ago

Read 2 more answers

Nathan is a recreational cyclist. He can travel 10 miles in one hour on his bicycle. Which graph represents the number of miles

PolarNik [594]

Answer:

See attachment for graph