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3 years ago

What is the sum or difference 6x^7+8x^7

1 answer:

3 0

Answer: 14x^7

You add the coefficients (numbers to the left of the variable terms) to get 6+8 = 14 which is the coefficient of the final answer. The x^7 stays the same. It's like saying "we have 6 apples added to 8 apples, so there are 14 apples overall". Replace "apples" with "x^7" and it's the same idea.

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Solve the exponential equation. 8x = 1/4 -2 -2/3 2/3

Karolina [17]

Answer:

$\large\boxed{x=-\dfrac{2}{3}}$

Step-by-step explanation:

$8^x=\dfrac{1}{4}\\==============\\\\8=2^3\\\\\dfrac{1}{4}=\dfrac{1}{2^2}=2^{-2}\\\\===============\\\\(2^3)^x=2^{-2}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3x}=2^{-2}\iff3x=-2\qquad\text{divide both sides by 3}\\\\x=-\dfrac{2}{3}$

5 0

2 years ago

What is the solution to |x − 4| ≥ 7?

Snowcat [4.5K]

9514 1404 393

Answer:

(x ≤ -3) ∪ (11 ≤ x)

Step-by-step explanation:

The given equation resolves to two equations:

x -4 ≥ 7 ⇒ x ≥ 11

x -4 ≤ -7 ⇒ x ≤ -3

The solution is (x ≤ -3) ∪ (11 ≤ x).

3 0

3 years ago

Which of the following is true of the angle measures in the diagram below.

Bess [88]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Explain how the amount left to pay on the loan changes as the number of payments increases

Mariana [72]

Answer:

For each payment made, the amount left decreases by $150.

Step-by-step explanation:

The sequence of numbers in the "Amount Left" column has a common difference of -150. This means the amount left decreases by $150 for each payment made.

5 0

3 years ago

At what at speed was jo walking for the first 30 minutes?

Aleksandr [31]

Answer:

6 km/hr

rested 10 minutes

Step-by-step explanation:

3 km/0ne half hour = 6 km/hr

5 0

2 years ago