Answer:
![4x^3-7x^2-23x-10](https://tex.z-dn.net/?f=4x%5E3-7x%5E2-23x-10)
Step-by-step explanation:
So we have the expression:
![(4x+5)(x^2-3x-2)](https://tex.z-dn.net/?f=%284x%2B5%29%28x%5E2-3x-2%29)
Distribute. Multiply (4x+5) to each term:
![(x^2)(4x+5)+(-3x)(4x+5)+(-2)(4x+5)](https://tex.z-dn.net/?f=%28x%5E2%29%284x%2B5%29%2B%28-3x%29%284x%2B5%29%2B%28-2%29%284x%2B5%29)
Distribute:
![=(4x^3+5x^2)+(-12x^2-15x)+(-8x-10)](https://tex.z-dn.net/?f=%3D%284x%5E3%2B5x%5E2%29%2B%28-12x%5E2-15x%29%2B%28-8x-10%29)
Combine like terms:
![=(4x^3)+(5x^2-12x^2)+(-15x-8x)+(-10)](https://tex.z-dn.net/?f=%3D%284x%5E3%29%2B%285x%5E2-12x%5E2%29%2B%28-15x-8x%29%2B%28-10%29)
Add and simplify:
![=4x^3-7x^2-23x-10](https://tex.z-dn.net/?f=%3D4x%5E3-7x%5E2-23x-10)
And this is in descending order, so it's in standard form.
Answer:
64
Step-by-step explanation:
4a(3b+5)+2b
Substitution
4(6)[3(7)+5]+2(7)
Order of operations (PEMDAS)
4(6)[21+5]+2(7)
4(6)+26+2(7)
24+26+14
50+14
64
Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, be safe and wash your hands. Happy Holidays.
It takes 0.15625 minutes to paint 1 square feet
<em><u>Solution:</u></em>
Given that, I can paint 96 sq ft in 15 minutes
To find: Time taken to paint 1 square feet
From given,
96 square feet is painted in 15 minutes
Let "x" be the time taken to paint 1 square feet
Then, we can say,
96 square feet = 15 minutes
1 square feet = x minutes
This forms a proportion and we can solve the sum by cross multiplying
![96 \times x = 15 \times 1\\\\x = \frac{15}{96}\\\\x = 0.15625](https://tex.z-dn.net/?f=96%20%5Ctimes%20x%20%3D%2015%20%5Ctimes%201%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B15%7D%7B96%7D%5C%5C%5C%5Cx%20%3D%200.15625)
Thus it takes 0.15625 minutes to paint 1 square feet
Answer:
A graph showing a range of negative three to two on the x and y axes. A dotted line with arrows at both ends that passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the left of the line.
Step-by-step explanation:
The inequality given is x < 2. This means x is less than two are the values that satisfy the equation.
The equation can be written as x=2 to identify the position where the line will pass. The line is dotted and will pass through x=2 to be parallel with the y-axis.
The second and third answers are not correct because the line should not be solid.
The first answer is not correct because the shaded part should be to the left of the line.
The complete pattern is: 512, 256, 128, 64, 32, 16, 8, ( and extended ) 4, 2, 1!
I do this pattern in my head literally all the time!