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melomori [17]
3 years ago
5

The sum of the polynomial x^3+7x^2+8 and the product of the polynomials x^2–6x+4 and x–1

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
8 0
I am also not sure, because I also asked this question.

kipiarov [429]3 years ago
7 0

We have been asked to simplify

(x^3+7x^2+8)+(x^2-6x+4)(x-1)\\ \\ \text{First multiply the terms inside the parenthesis using FOIL we get}\\ \\ =(x^3+7x^2+8)+(x^3-6x^2+4x-x^2+6x-4)\\ \\ \text{Re-write the like terms together and simplify  we get}\\ \\ =(x^3+7x^2+8)+(x^3-7x^2+10x-4)\\ \\ =x^3+7x^2+8+x^3-7x^2+10x-4\\ \\ \text{Add the like terms together again and simplify we get}\\ \\ =2x^3+10x+4\\

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Rectangles Are a subset of which set
Slav-nsk [51]
They are a subset to squares
4 0
4 years ago
The diagonal of a rectangle is 30 inches and the length of the rectangle is 24 inches.
RoseWind [281]

Answer:

area=432

Step-by-step explanation:

use the Pythagoras theory now that you know the width and you'll get the length and the width then you multiply both of them hope it helps you.

6 0
3 years ago
Wanda placed $100 in a savings account that pays 2% simple interest per year. After 6 months Wanda made another deposit of $100.
STatiana [176]

Answer:

\$203.01

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

<em>After 6 months</em>

t=6/12=0.5\ years\\ P=\$100\\r=2\%=2/100=0.02

substitute in the formula above

A_1=100(1+0.02*0.5)

A_1=100(1.01)

A_1=\$101

<em>At the end of one year</em>

t=6/12=0.5\ years\\ P=A_1+\$100=\$101+\$100=\$201\\r=2\%=2/100=0.02

substitute in the formula above

A_2=201(1+0.02*0.5)

A_2=201(1.01)

A_2=\$203.01

8 0
3 years ago
Find the minimum value of the function f(x) = x2 + 5x – 6
Klio2033 [76]

So the easiest method to find the vertex (the minimum in this case) to do this is to find the axis of symmetry, then plug it into the function.

Firstly, the equation to find the axis of symmetry is x=\frac{-b}{2a} , with b = x coefficient and a = x^2 coefficient. The equation equation can be solved as such:

x=\frac{-5}{2*1}\\\\x=\frac{-5}{2}\\\\x=-2.5

Since the vertex falls on the axis of symmetry, we know that the x-coordinate of the vertex is -2.5. Now to solve for the y-coordinate, plug in x with -2.5 and solve as such:

f(-2.5)=(-2.5)^2+5*(-2.5)-6\\ f(-2.5)=6.25+(-12.5)-6\\ f(-2.5)=-12.25

Now putting it all together, our minimum value (vertex) is (-2.5,-12.25).

6 0
3 years ago
18. The outside temperature changed - 14 °F over 4 hours. If the temperature changed the same
bazaltina [42]

Answer:

-3.5 °F

Step-by-step explanation:

If the temperature change was the same each hour, we can find the change each hour by dividing -14 by 4.

-14/4= -3.5

= -3.5 °F

8 0
4 years ago
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