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JulijaS [17]
2 years ago
11

-21 < a -16 please help me

Mathematics
2 answers:
padilas [110]2 years ago
7 0

Answer:

a > -5

Step-by-step explanation:

-21-(a-16)<0

Pull out like factors :

-5 - a = -1 • (a + 5)

Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

a+5 > 0

Subtract 5 from both sides

a > -5

frez [133]2 years ago
3 0

Answer:

a > -5

Step-by-step explanation:

Step 1: Flip the inequality.

  • -21 < a - 16
  • a - 16 > -21

Step 2: Add 16 to both sides.

  • a - 16 + 16 > -21 + 16
  • a > -5

Therefore, a > -5.

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

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Junior high classes of 35 students each met in the cafeteria to take achievements tests. If exactly 5 students sat at each table
exis [7]
Hello!

First you have to find the total amount of kids

5 kids a table
28 tables

Multiply these numbers

28 * 5 = 140

Then divide by the amount of kids in a class

140 / 35 = 4

The answer is 4 classes

Hope this helps!
5 0
4 years ago
The graphs below have the same shape. What is the equation of the red<br> graph?
Cerrena [4.2K]

Answer:

D, A P E X

Step-by-step explanation:

8 0
3 years ago
Divide x ^ 4 + x - 1 by x - 1
vladimir2022 [97]

The required, divide is given by =x^3+x^2+x+2+\frac{1}{x-1}

<h3>What is fraction of polynomial?</h3>

Fraction of polynomial is, in the numerator and in the denominator of a fraction there is polynomial function

=x^3+\frac{x^3+x-1}{x-1}\\

=x^3+x^2+\frac{x^2+x-1}{x-1}\\

=x^3+x^2+x+\frac{2x-1}{x-1}\\

=x^3+x^2+x+2+\frac{1}{x-1}

Thus the required, divide is =x^3+x^2+x+2+\frac{1}{x-1}.

Learn more about Fraction of polynomial here:
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6 0
2 years ago
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Please help question 4
Burka [1]

Answer:

40 miles

Step-by-step explanation:

let distance be d and time be t

Since d varies directly with t, then the equation relating them is

d = kt ← k is the constant of variation

To find k use the condition d = 75 when t = 3

k = \frac{d}{t} = \frac{75}{3} = 25

d = 25t ← equation of variation

when t = 1.6, then

d = 25 × 1.6 = 40 miles

3 0
3 years ago
What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve. x = plus-or-minus StartRoot 5 EndRoot and x
Oduvanchick [21]

Answer:

<em>* x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *</em>

Step-by-step explanation:

Through factorization;

x^4 + 95x^2 – 500 = 0, ⇒ <em>u^2 ⇒ x^2</em>,

u^2 + 95u - 500 = 0, ⇒<em> factors of -500; -25, 20, -50 * 10, -2 * 250, -5 * 100...</em>

( u )^2 + ( - 5 + 100 ) + ( - 5 * 100 ) = 0,

( u - 5 )( u + 100 ) = 0,

<em>u = 5, and y = - 100</em>

Substitute u back into format x^2;

u = x^2, 5 = x^2, | x | = √5 ⇒ <em>x = - / + √5,</em>

u = x^2, - 100 = x^2, | x | = √- 100 ⇒ <em>x = - / + 10i</em>

<em>* Answer: x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *</em>

7 0
3 years ago
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