We need to multiply the factors (x - 2) and (x^2 + 9x + 10) to see if the product is the original expression given.
(x - 2)(x^2 + 9x + 10)
x^3 + 9x^2 + 10x - 2x^2 - 18x - 20
x^3 + 7x^2 - 8x - 20.
Since the product just found is not the original expression given, Jimmy is wrong.
I will complete the work on paper by synthetic division and post my answer.
After using synthetic division, the correct quotient is x^2 + 9x + 20.
Answer:
74
Step-by-step explanation:
All you have to do it first add f(x)+ g(x) and then plug in x=5.
(f+g) = f(x) + g(x)
= (7x- 2) + (9x-4)
= 7x - 2 + 9x - 4
= 16x - 6
(f + g)(5) = 16(5) - 6
= 80 - 6
= 74
Here we have to know the conversion between feet and inches.
1 Feet = 12 inches (This is given and is to be known)
So the 5 feet wide footbridge when converted to inches would be about 5*12 = 60 inches
The width of the footbridge in inches = 60 inches
Each wooden plank is 6 inches,
So the number of wooden planks that are required to build the foot bridge of 60 inches = 60/6 = 10 planks
Hence, the path path is 10 planks wide
Answer:
Lily babysit for <u>less than 4 hours</u>.
Step-by-step explanation:
Given:
Lucy spends in a week babysitting for 4 hours.
Lily spends seven-eighths of 4 hours.
Now, to find whether Lily babysit for more than 4 hours or less than that.
Number of hours Lucy babysit = 4 hours.
So, to get the hours Lily babysit:
<em>On simplifying we get:</em>
<u><em>Thus, Lily spends </em></u>
<u><em> for babysitting which is less than 4 hours.</em></u>
Therefore, Lily babysit for less than 4 hours.
Answer:
25 in
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg a = 24
Leg b = 7 in
Leg c = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: 24² + 7² = x²
- Evaluate exponents: 576 + 49 = x²
- Add: 625 = x²
- [Equality Property] Square root both sides: 25 = x
- Rewrite/Rearrange: x = 25
