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2 years ago

4(3x+5)= -4

Mathematics

1 answer:

NeX [460]2 years ago

4 0

Answer/explanation

4(3x+5)=-4

You will distribute the four to every term in the parenthesis,

12x+20=-4

Then you will combine like terms

12x+20=-4

-20 -20

12x=-24

Then you will divide 12 to isolate x

$\frac{12x}{-24} =\frac{-24}{-24}$

Obviously, -24 cancels out and you would get x=-2

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Which equation represents a linear function? Equation 1: y^3 = 2x +1 Equation 2: y= 3x +1 Equation 3: y= 5x^2 - 1 Equation 4: y=

Yuri [45]

the second equation is linear

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2 years ago

25. Michael is studying population changes in two

g100num [7]

Answer: Average rates of change for Bird A is 0.045 and for Bird B is 3.816.

Step-by-step explanation: Through its graph, a function can be analyzed and be identified its attributes. Average Rate of Change is the ratio of change in the function values to the change of x-value, i.e., it is the slope of the function in a specific interval of x. With the Average it is possible to compare two function.

Average Rate of Change

Bird A:

For the interval [0,18]:

x₁ = 0 f(0) = 8.3

x₂ = 18 f(18) = 9.1

Average = $\frac{f(18) - f(0)}{x_{2} - x_{1} }$

Average = $\frac{9.1 - 8.3}{18 - 0}$

Average = 0.045

Bird B: y = 3.6(1.06)x

For the interval [0,18]:

x₁ = 0 y = 3.6(1.06)0 = 0

x₂ = 18 y = 3.6(1.06)18 = 68.7

Average = $\frac{f(18) - f(0)}{x_{2} - x_{1} }$

Average = $\frac{68.7 - 0}{18 - 0}$

Average = 3.816

The Average Rate for Change for Bird A is 0.045 and for Bird B is 3.816. This means that the population of Bird B increase in rate faster than the population of Bird A.

4 0

2 years ago

Write the expression in terms 5×(2+8)

loris [4]

The answer is fifty (50)

7 0

2 years ago

Read 2 more answers

Navin signed up for a gym membership. The cost was $125 plus $20 each

Lisa [10]

Answer:

a) the initial value is $125, and it represents the cost Navin has to pay in the beginning

b) the rate of change is $20 per month, and it represents the cost he has to pay per month

c) linear; the equation for it is y = 20x + 125

d) The rate of change is constant because each month, Navin always has to pay $20.

e) This is partial variation because the equation y = 20x + 125 doesn't follow y = kx

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0

1 year ago

the base of this right prism is an equilateral triangle. the approximate height of the base is 15.6 cm. what is the approximate

Andrew [12]

Hello!

To find the surface area you can divide the prism into the 2D shapes it is made of

First list out all the shapes

2 triangles with bases of 18 and heights of 15.6
3 rectangles with side lengths of 20 and 18

First find the area of the triangles

The equation to find the area of a triangle is

$A = \frac{hb}{2}$

A is area
h is height
b is base

Put in the values you know

$A = \frac{18 * 15.6}{2}$

Solve

A = 140.4

The triangles have an area of 140.4 units

Next we find the area of a the rectangles

To do this we multiply the sides

18 * 20 = 360

The rectangles have areas of 360 units

Now we add all the areas

There are 2 triangles and 3 rectangles

140.4 + 140.4 + 360 + 360 + 360 = 1360.8

The answer is B) 1360.8cm squared

Hope this helps!

6 0

2 years ago