All categories

3 years ago

5(4 − x) = −5x + 20 i need help

Mathematics

2 answers:

Elza [17]3 years ago

4 0

Answer:

Infinite solutions.

Step-by-step explanation:

Distribute the 5 to the numbers inside the parenthesis.

5 × 4=20

5 × -x=-5x

-5x+20.

They are the same.

-5x+20=-5x+20

Add 5x on both sides:

-5x+5x+20=-5x+5x+20

20=20

So there are infinite solutions.

adoni [48]3 years ago

3 0

Answer:

x=4

Step-by-step explanation:

-5(4-x)=-5x+20

We simplify the equation to the form, which is simple to understand

-5(4-x)=-5x+20

Reorder the terms in parentheses

+(-20+5x)=-5x+20

Remove unnecessary parentheses

-20+5x=-5x+20

We move all terms containing x to the left and all other terms to the right.

+5x+5x=+20+20

We simplify left and right side of the equation.

+10x=+40

We divide both sides of the equation by 10 to get x.

x=4

You might be interested in

Evaluate the function rule for the given value. y=15*3^x for x = -3

DENIUS [597]

Answer: $y=\frac{5}{9}$

Step-by-step explanation:

It is important to remember that an Exponential function has the following form:

$f(x) =a* b^x$

Where “b” is $b > 0$ and $b \neq 1$ , "a" is a coefficient, "x" is the Independent variable and f(x) is the Dependent variable.

In this case, you have the following Exponential Function given in the exercise:

$y=15*3^x$

If the value of Dependent variable is -3, then:

$x=-3$

So, you must substitute that value of "x" into the function:

$y=15*3^{(-3)}$

And now you must evaluate:

1. According the Negative exponent rule:

$a^{-n}=\frac{1}{a^n}$

Then:

$y=\frac{15}{3^{3}}$

2. Simplifying, you get:

$y=\frac{15}{27}\\\\y=\frac{5}{9}$

5 0

3 years ago

How do I find the solution to this using the substitution method? Please help!

Sonbull [250]

Answer:

y= -1; x=5

Step-by-step explanation:

Replace the x in the first equation with x=1-4y

2(1-4y)+7y=3

2-8y+7y=3

-y=1

y= -1

x=1-4(-1))

x=5

Hope this helps

6 0

4 years ago

Which table shows a function with the same rate of change as the equation y = –30x + 200?

Naddik [55]

Answer:

Look it up that's what they said:(

8 0

3 years ago

Read 2 more answers

Please help I will give out brainliest

Nitella [24]

Answer:

i)x=0,x=1

ii)

$\frac{2}3} + \frac{\sqrt{40} }{6} \\\frac{2}3}-\frac{\sqrt{40} }{6}$

Step-by-step explanation:

so I did not use the graphs actually.

for the answer to question i), i wrote out the equation as given:

3x^2-3x+2=2

then, i subtracted the two from the right side of the equation to make the equation set equal to 0, and I got:

3x^2-3x+2-2=+2-2, which becomes 3x^2-3x=0

then, I used the quadratic method of taking out the greatest common factor, which in this case is 3x, and the equation becomes:

3x(x-1)=0

finally, for this equation, I set 3x=0 and x-1 =0 to get the solutions to this equation, as shown below

3x=0(divide both sides by 3 to get)x=0

x-1=0(add 1 to both sides to get)x=1

now for the second equation, I had no other choice but to use the quadratic formula to find the solutions.

so I set up the quadratic formula as shown:

$\frac{-(-4)+ or -\sqrt{(9-4)^2)-4(-2)(3)} }{2(3)}$

from there the equation gets simplified down to:

$\frac{4+ or -\sqrt{16-4(-6)} }{6}$

simplifying the formula even further gives us:

$\frac{4+ or -\sqrt{40} }{6}$

if we simplify the equation one last time, we get:

$\frac{2}{3} + or -\frac{\sqrt{40} }{6}$

therefore, the solutions to this equation are:

$\frac{2}{3} +\frac{\sqrt{40} }{6}\\ \frac{2}{3} - \frac{\sqrt{40} }{6}$

8 0

3 years ago

John opened a savings account with an interest rate of 2.25%. If he deposited $80 in the account when he opened it and did not m

Y_Kistochka [10]

Answer:

Step-by-step explanation:

Dbdbdbdbdxxdbd

7 0

3 years ago