Lets just say the number is equal to x.
-1(2x+3)=2*(-4x-3)
Distribute on both sides
-2x-3=-8x-6
Add 3 to both sides
-2x=-8x-6
Add 8x to boths sides
6x=-6
Divide Both Sides by -1
x=-1
The numbers is -1.
Answer:
a. 7
Step-by-step explanation:
So a triangle a two sides that will always sum up to be greater than the third side.
Meaning:
a + b > c
a + c > b
b + c > a
So here, we're given a and b:
8 + 5 > c
8 + c > 5
5 + c > 8
Plug in the values:
13 > 7
15 > 5
12 > 8
These are all true, so it's probably 7.
13 > 2
10 > 5
7 > 8 This one is not true, so not 2.
13 > 13 This is not true, so not 13.
If not 13, we can't go any higher and so it can't be 15.
Calculate the difference, Reduce the fraction with 2, Multiply the numbers
(-10)^2+(7/2)^2-10
To raise a fraction to a power, raise the numerator and denominator to that power
100+49/4 -10
Calculate the sum
409/4
Or
102 1/4
Or
102.25
1/2 t-4(2+t)=20
1/2 t-8-4t=20
least common multiple=2
t-16-8t=40
-7t=40+16
-7t=56
t=56/-7=-8
Answer: t=-8
To check
-8/2 - 4(2-8)=-4-4(-6)=-4+24=20
Answer:
(f - g)(x) = x^4 - x^3 - 4x^2 - 3
Step-by-step explanation:
Subtract g(x)=x^3 + 3x^2 + 12 from f(x)= x^4 - x^2 + 9
First, take the negative of every term (including the label g(x) ) of g(x), obtaining -g(x) = -x^3 - 3x^2 - 12.
Now combine this result with f(x):
f(x)= x^4 - 0x^3 - x^2 + 9
-g(x) = - 1x^3 - 3x^2 - 12
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(f - g)(x) = x^4 - x^3 - 4x^2 - 3