-5/32(4) = -20/32 melts to -5/8 meters in 4 hrs
-9-8x=2(7+4x)
First you are going to distribute the 2 to (7+4x) then you will get both Xs on one side
-9-8x=2(7+4x)
-9-8x= 14+8x
+8x. +8x
=-9=14+16x
Now subtract 14 from both sides
9=14+16x
-14 -14
-23=16x
Divide by 16
Your answer will be x= -23/16
The previous year's salary is x.
This year's salary is x + 3000.
12% of this year's salary is $4200.
12% * (x + 3000) = 4200
0.12(x + 3000) = 4200
x + 3000 = 35,000
x = 32,000
Answer: Her salary in the previous year was $32,000.
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A. EXPONENTIAL NOTATION: EXPAND AND EVALUATE THE FOLLOWING.
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- 3³ = 3 x 3 x 3 = 27
- 5² = 5 x 5 = 25
- 7³ = 7 x 7 x 7 = 343
- 2⁹ = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
- 8⁴ = 8 x 8 x 8 x 8 = 4, 096
- 9³ = 9 x 9 x 9 = 729
- 4³ = 4 x 4 x 4 = 64
- 1000⁰ = 1
- 7³ = 7 x 7 x 7 = 343
- 4⁰ = 1
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In the expression 6², 6 is the base and 2 is the exponent. The exponent tells how many times the base should be multiplied by itself.
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#LetEarthBreathe
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using the method of completing the square.
Given
f(x) = 3x² - 24x + 10
We require the coefficient of the x² term to be 1 , thus factor out 3
3(x² - 8x) + 10
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
= 3(x² + 2(- 4)x + 16 - 16) + 10
= 3(x - 4)² + (3 × - 16) + 10
= 3(x - 4)² - 48 + 10
= 3(x - 4)² - 38, thus
f(x) = 3(x - 4)² - 38 ← in vertex form
