Answer:
Infinite points
General Formulas and Concepts:
<u>Pre-Algebra
</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Functions
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-24x - 4y = -164
y = 41 - 6x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em> [1st Equation]: -24x - 4(41 - 6x) = -164
- [Distributive Property] Distribute -4: -24x - 164 + 24x = -164
- [Addition] Combine like terms: -164 = -164
Here we see that -164 does indeed equal -164.
∴ We have an infinite amount of solutions.
g(x) is a translation of 6 units downwards.
<h3>
How to identify the translation that generates g(x)?</h3>
Here we have the function:
y = f(x) = 3x + 1
Notice that the y-intercept of f(x) is:
f(0) = 3*0 + 1 = 1
The y-intercept of f(x) is y = 1.
Now, we know that the y-intercept of g(x) is -5. then:
g(x) = 3x - 5 = f(x) - 6
Meaning that g(x) is a translation of 6 units downwards.
If you want to learn more about translations:
brainly.com/question/24850937
#SPJ1
Answer:
p = 31/-5
Step-by-step explanation:
Step 1: Add 12 to both sides.
−5p−12+12=19+12
−5p=31
Step 2: Divide both sides by -5.
−5p
/−5 = 31/−5
p= −31
/5
Since there are 3 feet to a yard,26 feet= 26/3 yards =8 2/3 yards
Sam gets (500/10)*3=150<span>£
harry gets (150/100)*35= 52.5</span>£
