Answer: 0.78 and 39/50
<h3>
Explanation:</h3>
What we know:
- We need to find 78% as a fraction and decimal
How to solve:
The decimal is easy enough, and then the fraction can be found from there. D will represent decimal, p will represent percentage, and F will represent fraction.
<h3>
Process:</h3>
Decimal
Set up equation D = p / 100
Substitute D = 78% / 100
Simplify D = 0.78%
Remove % sign D = 0.78
Fraction
Set up equation F = p / 100
Substitute F = 78% / 100
Remove % sign F = 78 / 100
Simplify if needed F = /2 /2
F = 39 / 50
Solution: 0.78 and 39/50
Check:
Multiply the decimal by 100 to check the decimal
0.78 x 100 = 78; 78%
Divide the fraction to check the fraction
39/50 = 0.78; see above
Y2 + x2 = 53
y − x = 5
y = 5 + x
(5+x)^2 + x^2 = 53
(5+x)(5+x) + x^2 = 53
25 + 10x + x^2 +x^2 = 53
2x^2 + 10x - 28 = 0
(x-2)(x+7)=0
x = 2 , x = - 7
y = 5 + 2
y = 7
y = 5 +(-7)
y = 5 - 7
y = - 2
Answer:
2.625
Step-by-step explanation:
2 + 5/8
2 + .625 = 2.625
5/8 = .625
Answer: -6x² + 15x + 5
Step-by-step explanation:
To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.
Step 1: f(x) = -3(2x² - 5x - 1) + 2
Step 2: Apply the distributive property
-3(2x²) + -3(-5x) + -3(-1)
-6x² + 15x + 3
Step 3: Simplify
f(x) = -6x² + 15x + 3 + 2
f(x) = -6x² + 15x + 5
