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1 year ago

Which graph shows the solution to the inequality −2(2x+3)≤26?

Mathematics

1 answer:

krok68 [10]1 year ago

5 0

Answer:

x≥−8

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−4x−6≤26

Step 2: Add 6 to both sides.

−4x−6+6≤26+6

−4x≤32

Step 3: Divide both sides by -4.

−4x/−4 ≤ 32/−4

x≥−8

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KiRa [710]

Answer:

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2 years ago

Write the sum in sigma notation. $ \noindent 1 - x + x^2 - x^3 + \cdot\cdot\cdot + {(-1)}^n x^n $

Neko [114]

$1-x+x^2-x^3...+(-1)^nx^n=\sum\limits_{n=0}^{\infty}(-1)^nx^n=\sum\limits_{n=1}^{\infty}(-1)^{n-1}x^{n-1}$

3 0

2 years ago

What value of n makes the equation true? -1/5n + 7 =2

klasskru [66]

The answer is 25.
-1/5n = -5
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7 0

1 year ago

Read 2 more answers

Liam has a bag of b beads. He gives 20 beads to his sister. He then makes 4 necklaces with the same of beads on each necklace us

grin007 [14]

Given :

Liam has a bag of b beads.

He gives 20 beads to his sister.

He then makes 4 necklaces with the same of beads on each necklace using all of the remaining beads.

To Find :

Write an expression that represents the number of beads on each necklace.

Solution :

Number of necklace remains after giving 20 beads to his sister is ( b - 20 ).

Number of beads on each necklace using all of the remaining beads is :

$N=\dfrac{b-20}{4}$

Hence, this is the required solution.

6 0

1 year ago

15 PINTS!!!!!!!!! PLZ HELP!!!!!!!! The linear function f(x) = 0.5x + 80 represents the average test score in your math class, wh

Stells [14]

Answer:

Part A: The test average for the math class after completing 2 tests is 81

Part B: The test average for the science class after completing 2 tests is 83

Part C: The science class had the higher average test score after completing the test 4.

Step-by-step explanation:

The average test score for math class is given by the linear function, f(x) = 0.5·x + 80

The data for the average test score for science g(x) are;

x, q(x)

1, 81

2, 83

3, 85

Part A: The average test score for math after completing test 2 is given as follows;

f(2) = 0.5×2 + 80 = 81

∴ The test average for the math class after completing 2 tests = 81

Part B:

The average test score for science after completing test 2 is given from the table as at x = 2, g(2) = 83

∴ The test average for the science class after completing 2 tests = 83

Part C: After completing 4 tests, we have for the math class, f(4) = 0.5×4 + 80 = 82

For the science class, it is observed that common difference between each subsequent test score average is 2, therefore, the average test score, for the fourth test is 2 added to the average test score after the third test, which gives;

Average test score, after completing the fourth test for the science class, g(4) = 85 + 2 = 87

Since g(4) > f(4) the science class had the higher average test score after completing the test 4.

4 0

2 years ago