Answer:
a² + 2ah + 3a + 3h + 5 + h²
Step-by-step explanation:
to evaluate f(a + h) substitute x = a + h into f(x)
f(a + h)
= (a + h)² + 3(a + h) + 5 ← distribute
= a² + 2ah + h² + 3a + 3h + 5
Answer:
2.8 x 10^-3
Step-by-step explanation:
The equation of any line is:

m is slope.
We just need to put inside of equation x=(-3) and y=5:


It follows that equation of a line is:
Answer: point F is at <u> 0.6 </u> on the number line
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Explanation:
The ratio 2:3 scales up to 2x:3x for some positive real number x.
This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.
D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9
Set this equal to the 5x from earlier and solve
5x = 9
x = 9/5
x = 1.8
This leads to 2x = 2*1.8 = 3.6
Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.
Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.
The first step to simplify this equation is to multiply the numbers
1512

×

next,, youll multiply the terms with the same base by adding their exponents
1512

finally,, youll add the numbers together
1512

since you cant simplify any further,, the correct answer to your question is 1512

let me know if you have any further questions
:)