Answer:
(2, 3 )
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
point of intersection = (2, 3 ) ← is the solution
Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.
Step-by-step explanation:
Given,
Total hours worked by three of them = 285 hours
Let,
x represent the hours of Alexis.
y represent the hours of Becca.
z represent the hours of Cindy.
According to given statement;
x+y+z=285 Eqn 1
Alexis worked 15 hours less than Becca.
x = y-15 Eqn 2
z = 2y+4 Eqn 3
Putting value of x and z from Eqn 2 and 3 in Eqn 1

Dividing both sides by 4

Putting y=74 in Eqn 2

Putting y=74 in Eqn 3

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.
Keywords: linear equation, division
Learn more about division at:
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Answer:
The two numbers are -419 and -2095.
Step-by-step explanation:
5x=y
x-y=1676
----------------
x-5x=1676
-4x=1676
x=1676/-4
x=-419
5(-419)=y
y=-2095
Answer:
(f o h)(x) = -10x + 32
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x³ + 8
h(x) = ∛(12 - 5x)
(f o h)(x) is f(h(x))
<u>Step 2: Find Composite Function</u>
- Substitute: (f o h)(x) = 2(∛(12 - 5x))³ + 8
- Evaluate: (f o h)(x) = 2(12 - 5x) + 8
- Distribute 2: (f o h)(x) = 24 - 10x + 8
- Combine like terms: (f o h)(x) = -10x + 32
And we have our final answer!