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melisa1 [442]
2 years ago
12

Solve the inequality. |2x + 10| > 26

Mathematics
2 answers:
neonofarm [45]2 years ago
6 0

Answer:

x > 8

x < -16

Step-by-step explanation:

2x + 10 > 26

2x + 10 - 10 > 26 - 10

2x > 16

2x/2 > 16/2

x > 8

2x + 10 < -26

2x + 10 - 10 < - 26 - 10

2x < -36

2x/2 < -36/2

x < -16

Archy [21]2 years ago
6 0

Answer:

-18 > x  \: \: OR \:  \:  8 < x

Step-by-step explanation:

|2x + 10| > 26

←→

2x + 10 < -26 2x + 10 > 26

- 10 - 10 - 10 - 10

_____________ _____________

2x < -36 2x > 16

__ ___ __ __

2 2 2 2

x < -18 OR x > 8

I am joyous to assist you anytime.

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"What is the y-intercept of the line that has a slope of- 4 and passes through the point (A)- 10 (B)-6 (C) 8 (D) 10​
jarptica [38.1K]

The y-intercept which is the point at which x = 0 is; A: -10

<h3>How to find the y-intercept?</h3>

The general form of an equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

We are given the slope;

m = -4

Now, the line passes through the point 0, -10. Thus;

(y - y1)/(x - x1) = -4

(y + 10)/(x - 0) = -4

y + 10 = -4x

y = -4x - 10

Thus, the y-intercept which is the point at which x = 0 is; y = -10

Read more about y-intercept at; brainly.com/question/1884491

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8 0
2 years ago
Can someone please help me with these!!!!!
Alona [7]
Yes, No, Yes, Yes, No. You fill in (x,y) numbers into the equations and if it cancels out into 4, it would be 4=4. If it doesn’t become 4=4, it’s no.
3 0
3 years ago
Find the area of the shape shown below.
Tatiana [17]

Answer:

I believe the answer is a=58

Step-by-step explanation:

a=1+25+8+24

a=26+8+24

a=34+24

a=58

6 0
2 years ago
Three friends were eating chocolate chip cookies after school. Nacy ate four less than two times the amount of cookies that Kate
galben [10]
Let the number of cookies that kate eats be ‘n’
kate : n
nacy : 2n-4
avery : 2(2n-4)

n + 2n-4 + 2(2n+4) = 18
7n - 12 = 16
7n = 28
n = 4

kate : 4
nacy : 2x4 - 4 = 4
avery : 2(2x4 - 4) =8
7 0
3 years ago
Integrate the following. ∫<img src="https://tex.z-dn.net/?f=84dx" id="TexFormula1" title="84dx" alt="84dx" align="absmiddle" cla
bogdanovich [222]

Answer:

\displaystyle \int {84} \, dx = 84x + C

General Formulas and Concepts:

<u>Calculus</u>

Integration

  • Integrals
  • Definite/Indefinite Integrals
  • Integration Constant C

Integration Rule [Reverse Power Rule]:                                                               \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Property [Multiplied Constant]:                                                         \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle \int {84} \, dx

<u>Step 2: Integrate</u>

  1. [Integral] Rewrite [Integration Property - Multiplied Constant]:                 \displaystyle \int {84} \, dx = 84\int {} \, dx
  2. [Integral] Reverse Power Rule:                                                                     \displaystyle \int {84} \, dx = 84x + C

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Integrations

4 0
2 years ago
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