Answer: C) x = 2
2^{2x + 2} = 2^{3x}
Since both terms (above) have the same base, set the exponents to be equal:
2x + 2 = 3x (Rearrange to solve for x)
x = 2
∴ x = 2
The equation that shows the relationship between the number of cups and pints is c = 2p.
<h3>What is an
equation?</h3>
An equation is an expression used to show the relationship between two or more variables and numbers.
Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:
c = 2p
When p = 2; c = 2(2) = 4
When p = 3; c = 2(3) = 6
The equation that shows the relationship between the number of cups and pints is c = 2p.
Find out more on equation at: brainly.com/question/2972832
Answer:
They are
Step-by-step explanation:
AA congruency theorem
AA is angle angle
The picture gives (( so that measns that (( and (( are congruent angles. The same with the (, it. is congruent to the other (.
The given expression is equivalent to the expression - 11/6 n - 1/12. Then the correct option is C.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The sum of capacity minus three and one-third times n plus one-sixth ended capacity + capacity one and three-sixths times n minus three-twelfths end quantity.
Let n be the number. Then the expression will be
⇒ -(3 1/3)n + 1/6 + (1 3/6)n - 3/12
Simplify the equation, then we have
⇒ -(3 1/3)n + 1/6 + (1 3/6)n - 3/12
⇒ -10/3 n + 3/2 n + 1/6 - 1/4
⇒ -11/6 n - 1/12
The given expression is equivalent to the expression - 11/6 n - 1/12. Then the correct option is C.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ1
Answer:
A, B, and D
Step-by-step explanation:
To subtract like terms, you're supposed to subtract the coefficients, so <u><em>Option 1 is correct</em></u>. The statement like terms are terms that contain the same variable, raised to the same power, is true, so <u><em>Option 2 is correct</em></u>. The simplified expression is -4 - 3y + 3z, so Option 3 is wrong and <u><em>Option 4 is correct</em></u>. Option 5, -(-x) = -x is wrong, so Option 5 is not correct. Therefore, the answers are Options 1, 2, and 4 (or A, B, and D).
Hope this helps! I got it right on Edgen.