Answer:
is in explanation.
Step-by-step explanation:
Our function is f(x)=2x-6.
Shifts f(x) 4 units down streches- g(x)=2x-10
To get this we move up function f(x)=2x-6-4=2x-10
streches f(x)by a factor 4- g(x)=8x-24
There multiply function by 4: 4(fx)=4(2x-6)=8x-24
shifts f(x) 4 units right-2(x-4)-6=2x-8-6=2x-14=g(x)
Answer:
Olga will use 133.33 ounces of floor.
Step-by-step explanation:
To solve this question we will apply the unitary method to calculate the amount of flour to make 300 muffins.
∵ To make 225 muffins Olga uses flour = 100 ounce
∴ To make 1 muffin Olga will use flour =
∴ For 300 muffins Olga will use flour = = 133.33
Olga will use 133.33 ounces of flour.
The graph is the one that correctly represents the linear piece-wise function is the first graph.
<h3>How to solve for the graph</h3>
First we have a linear function as
Mx + b
mc= slope, this is the rate of change, how y changes as x changes by 1.
b = y-intercept, y value as x = 0
y = 5 + x
x ≤ 10
at 10 we have 5 + 10 = 15
at 2 dollars
y = 15 + 2(x - 10)
at 14
y = 15 + 2(14 - 10)
15 + 2*4
= 23
Hence we can conclude that the first graph here is the correct one.
Read more on graphs here:
brainly.com/question/22295833
#SPJ1
Answer:
(-2, 6)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
4x - 2y = -20
7x + 2y = -2
<u>Step 2: Rewrite systems</u>
4x - 2y = -20
- Add 2y to both sides: 4x = 2y - 20
- Divide 4 on both sides: x = 1/2y - 5
<u>Step 3: Redefine systems</u>
x = 1/2y - 5
7x + 2y = -2
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 7(1/2y - 5) + 2y = =-2
- Distribute 7: 7/2y - 35 + 2y = -2
- Combine like terms: 11/2y - 35 = -2
- Add 35 to both sides: 11/2y = 33
- Isolate <em>y</em>: y = 6
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define original equation: 7x + 2y = -2
- Substitute in <em>y</em>: 7x + 2(6) = -2
- Multiply: 7x + 12 = -2
- Subtract 12 on both sides: 7x = -14
- Divide 7 on both sides: x = -2
<u>Step 6: Graph systems</u>
<em>Check the system.</em>
Answer:
y = 3/2x - 4
Step-by-step explanation:
Use slope formula to find slope of the coordinates: (0,-4) and (4,2). Rise over run.
2 -- 4 / 4 - 0 = 6/4
6/4 = 3/2
Slope: 3/2x
Y-Intercept: -4