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3 years ago

Which of the following points is not a solution of the inequality y ≥ |x| + 3? (-3, 0) (-3, 6) (0, 4)

2 answers:

7 0

If y has to be greater than or equal to |x| + 3, we can use the points to find which is not a solution.

(-3,0): 0 ≥ |-3| + 3 → 0 ≥ 6

This is not a solution to the inequality, thus (-3,0) would be your answer.

jeka943 years ago

4 0

The correct answer is (-3,0)

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1. Jasmine drives every morning to her office that is 12 miles from her home

Elanso [62]

Answer:

1. Her time in minutes is 720/s minutes

2. Given her time to be 20 minutes, her speed is 36 mph

Step-by-step explanation:

Mathematically,

Distance = speed * time

In this question, we want to calculate time;

So time = distance/speed

times = 12 miles/s mph = 12/s hours

Now we want our answer in minutes

Kindly recall that 60 minutes = 1 hour

So 12/s hours will be 12/s * 60 = 720/s minutes

2. Since she drives from home to the office in in 20 minutes, we want to calculate her speed in mph

From the time calculated above i.e 720/s

We can equate 20 = 720/s

20s = 720

s = 720/20

s = 36 mph

4 0

2 years ago

Read 2 more answers

Find the output of the function y = x - 16 if the input is -28.<br> Help please

Serhud [2]

Answer:

-44

Step-by-step explanation:

If the input is -28, that means x = -28, so we plug -28 in for x and solve for y, which is the output:

y = x - 16

y = -28 - 16 = -44

The answer is thus -44.

5 0

3 years ago

What is the slope of the line perpendicular to a line that contains the points (-5,4) and (-2,4)

steposvetlana [31]

Answer:

the slope of the line is: 0

Step-by-step explanation:

4-4=0

-2-5= 3

7 0

2 years ago

Simplify the expression. Assume all variables are positive. <br> (r/32s)^8/5

balandron [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

The given expression is :

$(\frac{r}{32s} )^{\frac{8}{5} }$

It could be written as

$(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{32} )^{\frac{8}{5} }$

32 could be written as $2^{5}$

So, replacing that in our expression

$(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2^{5} } )^{\frac{8}{5} }$

$(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{5*\frac{8}{5} }$

$(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{8}$

$\frac{1}{256}*(\frac{r}{s} )^{\frac{8}{5} }$

This is the simplified form of given expression. : Answer

Hope it will help :)

6 0

2 years ago

Divide 12x 4 y 4 by 3x 2 y. A. 4x 6y 5 B. 4x 2y 3 C. 9x 6 D. 9x 2y 3

andrew-mc [135]

Answer:

$\frac{12x^4y^4}{3x^2y}=4x^2y^3$

Step-by-step explanation:

Consider an element $a\neq 0$

We know that $\frac{a^m}{a^n}=a^{m-n}$

Here, m and n are exponents and a is a base. Exponent refers to the no. of times a term is multiplied by itself. Another word for exponents is powers.

Other Properties of exponents:

$a^m\times a^n=a^{m+n}\\a^0=1\\\left ( a^m \right )^n=a^{mn}$