Answer:
Step-by-step explanation:
Multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.
Or, You can simply reduce the fraction with 2, which results to 1.
Hope I helped!
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Answer:
60
Step-by-step explanation:
In the function, the growth factor is "a", the base of the exponent. When the exponent is increased by 1, the value is multiplied by "a".
f(7) = a·f(6) = 4·15
f(7) = 60
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As you know, the exponent signifies repeated multiplication. So, an increase of 1 in the exponent means the base is part of the product one more time:
a^6 = a·a·a·a·a·a
a^7 = a·a·a·a·a·a·a = a·(a^6)
There are a few ways to solve this. The method I will use is the substitution method. Since they give us a "y = " statement, we can replace the y in the second equation with what it gives us to the right of the equal sign.
- 3x + 6(- 2x - 1) = 24
Simplify by using the distributive property.
- 3x + 6(- 2x) + 6(- 1) = 24
- 3x - 12x - 6 = 24.
Combine like terms
- 15x - 6 = 24
Add 6 to each side.
- 15x = 30
Divide both sides by - 15 to isolate variable X
x = 30 / - 15
x = - 2.
Now plug in the x-value we've found back into the first equation.
y = - 2( - 2) - 1
y = 4 - 1
y = 3
Your answer is (- 2, 3)
Answer: B. △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.
Step-by-step explanation:
Since the only change is a plus 4 in side the parenthesis, the transformation is horizontal (since it is in the parenthesis). And we have to change the sign to get -4 which means the transformation is 4 units to the left.
Hope this helps
