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3 years ago

Solve the inequality -2(y + 5) + 20 > 6.

Mathematics

1 answer:

Sindrei [870]3 years ago

3 0

Answer:

y < 2

Step-by-step explanation:

Given

- 2(y + 5) + 20 > 6 ← distribute and simplify left side

- 2y - 10 + 20 > 6

- 2y + 10 > 6 ( subtract 10 from both sides )

- 2y > -4

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

y < 2

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A certificate of deposit with principal $150 earns 4% annual interest for 2 years. Select all the options that would earn the sa

ladessa [460]

Answer:

a,c

Step-by-step explanation:

You would get $12 in the certificate of deposit, and

a. 12

b. 13.5

c. 12

d. 8

e. 24

so, a and c

Hope this helps!

Let me know if it does and if the answer is right

8 0

3 years ago

SOMEONE PLS HELP :( I WILL CHOOSE BRAINLIEST!!!

Nikolay [14]

Answer:

x -3y = - 3

Step-by-step explanation:

Slope of line m = (0 -1 )/(-3 - 0) = 1/3

y - intercept b = 1

Equation of line in slope-intercept form is given as:

y = mx + b

Plugging m = 1/3 and b = 1 in the above equation, we find:

y = 1/3 x + 1

-> 3y = x + 3

-> x -3y = - 3

This is the required equation of line.

7 0

2 years ago

What is the single rational number for -14+(-8/9)

AlladinOne [14]

-14 + (8/9)

(-126 - 8)/9

= -134/9

3 0

3 years ago

What is the formula of area that has the side of 6 cm and the shape is a square

sashaice [31]

Answer:

$6^{2}$ or $6 * 6$

Step-by-step explanation:

Since a square's sides are all equal to each other you can use this formula for finding the area of a rectangle which is Base x Height or since all the sides are equal to each other you can just square the one side to get the desired answer!

3 0

3 years ago

For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions.

Rufina [12.5K]

Answer:

The value of $(f \circ g)(x)$ is 17-18x and $(g \circ f)(x)$ is -7-18x.

Step-by-step explanation:

It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.

It is required to find $(f \circ g)(x)$ and $(g \circ f)(x)$ .

To find $(f \circ g)(x)$ , substitute g(x) for x in f(x) and simplify the expression.

To find $(g \circ f)(x)$ , substitute f(x) for x in g(x) and simplify the expression.

Step 1 of 2

Substitute g(x) for x in f(x) and simplify the expression.

$\begin{aligned}&(f \circ g)(x)=f(5-6 x) \\&(f \circ g)(x)=3(5-6 x)+2 \\&(f \circ g)(x)=15-18 x+2 \\&(f \circ g)(x)=17-18 x\end{aligned}$

Step 2 of 2

Substitute f(x) for x in g(x) and simplify the expression.

$\begin{aligned}&(g \circ f)(x)=g(3 x+2) \\&(g \circ f)(x)=5-6(3 x+2) \\&(g \circ f)(x)=5-18 x-12 \\&(g \circ f)(x)=-7-18 x\end{aligned}$

5 0

2 years ago