Step-by-step explanation:
GIVEN,
f(x)=2x+1; g(x)=3x-2
NOW,
( 2x+1 + 3x-2)×3
=(5x-2)×3
=15x - 6 <em>A</em><em>N</em><em>S</em><em>W</em><em>E</em><em>R</em>
Answer: it took him 0.075 seconds lesser
Step-by-step explanation:
In his first heat, his time was 2.45 seconds greater than his friend's record time. In his second heat, his time was 2 3/8 seconds greater than his friend's record time. Converting 2 3/8 seconds to decimal, it becomes 2.375 seconds
Therefore, he was fastest in the second heat.
The difference between the time he used to run in the second heat than in the first heat is
2.45 - 2.375 = 0.075 seconds
Answer:
(-10, 2)
Step-by-step explanation:
Compare:
g(x) = (x+10)^2+2
f(x) = (x - h)^2 + k
Matching these up, term by term, we see that h = -10 and k = 2. (h, k) represents the vertex of the parabola f(x) = (x - h)^2 + k.
We conclude that the vertex of this parabola is (-10, 2).
Answer:
I don't understand the instructions, but I'll answer the question in the picture.
The angle next to 52 is vertical to y, so, 90-52=y.
Thus, y=38
Answer:
x = -17/4
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>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
3x + 5(2 + x) = 4x - 7
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute 5: 3x + 10 + 5x = 4x - 7
- [Addition] Combine like terms: 8x + 10 = 4x - 7
- [Subtraction Property of Equality] Subtract 4x on both sides: 4x + 10 = -7
- [Subtraction Property of Equality] Subtract 10 on both sides: 4x = -17
- [Division Property of Equality] Divide 4 on both sides: x = -17/4
