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balandron [24]
3 years ago
11

5(-3x - 2) - (x - 3) = -4(4x + 5) + 13 HELP MEE

Mathematics
2 answers:
alukav5142 [94]3 years ago
8 0
Hey there!

To start, first simplify your expression by distributing your values to the equation inside the parenthesis:
<span>5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
(5*-3x)+(5*-2)-x-3=(-4+4x)+(-4*5)+13
-15x-10-x-3=-16x-20+13

Now, combine your like terms, or terms that are raised to the same power and have the same variables that are also raised to the same power:
</span>-15x-10-x-3=-16x-20+13
(-15x-x)+(-10-3)=-16x+(-20+13)
-16x-7=-16x-7

Because your equation is set equal to itself, your answer would be all real solutions as any real number can be plugged into the variable and have a valid answer.

Hope this helps and have a wonderful day! :)
olga2289 [7]3 years ago
5 0
First we should simplify!

to do this you need to use the distributive property

-15x - 10 - x + 3 = -16x -20 + 13

now add like terms

-16x - 7 = -16x -7

this is true

S = {Reals}
      ^
       |
       |
S means set
{reals} means all real numbers

i hope this helps !!
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Can you help me with this problem please
Over [174]

Remark

I think you want us to do both 3 and 4


Three

QR is 4 points going left from the y axis + 2 points going right from the y axis.

QR = 6 units long.


RT is 4 units above the x axis and 3 units below the x axis

RT = 7 units long


TS = 3 units. For this one you just go from T to S. The graph really helps you. You just need to count.


Problem 4

You need to find the area of the combined figure. You could do it as a trapezoid, which might be the easiest way. I'll do that first.


Area = (b1 + b2)*h/2


Givens

B1 = QR = 6

B2 = UT + TS = 6 + 3 = 9

h = RT = 7


Area

Area = (6 + 9)*7/2

Area = 15 * 7 / 2

Area = 52.5


Comment

You could break this up into a rectangle + a triangle

Find the area of QRTU and add the Area of triangle RTS


<em>Area of the rectangle </em>= L * W

L = RT = 7

W = QR = 6

Area = 7 *6 = 42


<em>Area of the triangle</em> = 1/2 * B * H

B = TS = 3

H = RT =7

Area = 1/2 * 3 * 7

Area = 1/2 * 21

Area = 10.5


Total Area = 42 + 10.5 = 52.5 Both answers agree.

3 0
3 years ago
Please help me figure out this problem
tiny-mole [99]

Answer:

f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=x\\\\g(f(x))=g\left(-\dfrac{5}{3}x-7\right)=x

Step-by-step explanation:

Fill in the given expressions and simplify.

f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=-\dfrac{5}{3}\left(-\dfrac{3x+21}{5}\right)-7\\\\=\left(-\dfrac{5}{3}\right)\left(-\dfrac{3x}{5}\right)-\left(\dfrac{5}{3}\right)\left(-\dfrac{21}{5}\right)-7\\\\=\dfrac{15x}{15}+\dfrac{5\cdot 21}{3\cdot 5}-7=x+7-7=x

Going the other way, we have ...

g(f(x))=\displaystyle -\frac{3\left(-\frac{5}{3}x-7\right)+21}{5}=-\frac{-5x-21+21}{5}=x

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