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3 years ago

Which number line shows the solutions to n > —2?

Mathematics

1 answer:

DENIUS [597]3 years ago

7 0

Answer:

Step-by-step explanation:

n > - 2

This means a number line which shows values greater Than - 2 ;

We start from, - 2 and the point isn't shaded, (since it is not ≥). And we move to the right of the number line as values increase to the right of a number line.

So values greater than - 2 should be covered such as, - 1, 0, 1, 2, 3,...

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How to do this?

Mandarinka [93]

This equation uses two properties of logarithms:

$\ln(g^x) = x \ln(g)$

$\ln(a) + \ln(b) = \ln(ab)$

So you could take the ln from left and right hand side in the equation, and get:

(2-x)ln 3 = x ln 5

then

2 ln 3 - x ln 3 - x ln 5 = 0 =>

x(ln 3 + ln 5) = 2 ln 3

so x = 2 ln 3 / (ln3 + ln5)

Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15

so x= ln9 / ln15

7 0

3 years ago

Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ

frutty [35]

Answer:

y=-3x-3

Step-by-step explanation:

Rotate 90 degrees

find slope

find y intercept

write equation

7 0

3 years ago

Help me :,)

IrinaK [193]

Answer:

The rule of the arithmetic sequence is 13 - 2n

The 30th term is -47

Step-by-step explanation:

∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2

∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n

Use n = 1 , 2 , 3 , 4 to check the type of the sequence

∵ n = 1 ⇒ 13 - 2(1) = 11

∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9

∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7

∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5

∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2

∴ The rule of the arithmetic sequence is 13 - 2n

∴ The 30th term = 13 - 2(30) = -47

5 0

3 years ago

Read 2 more answers

In (circle)A, m∠BAD = 110. Find mDE.

Veseljchak [2.6K]

Answer:

Line BE = 180 degrees

Therefore, angle BAD + angle DAE = 180 degrees

Angle DAE = 180 -110 = 70 degrees

Step-by-step explanation:

7 0

2 years ago

Given that R = 8 x + 4 y Find y when x = 8 and R = 30 Give your answer as an improper fraction in its simplest form.

Maksim231197 [3]

Answer:

y = -17/2

Step-by-step explanation:

Substitute with the givens.

30= 8(8) + 4y.

Multiply parentheses.

30 = 64 + 4y

Subtract.

30-64= -34

-34 = 4y.

Divide each side by 4.

y = - 8.5, or -17/2

hope that is right!

8 0

3 years ago