All categories

3 years ago

Solve -31-4x=-5-5(1+5x)

2 answers:

8 0

Let's solve your equation step-by-step.−31−4x=−5−5(1+5x)Step 1: Simplify both sides of the equation.−31−4x=−5−5(1+5x)−31+−4x=−5+(−5)(1)+(−5)(5x)(Distribute)−31+−4x=−5+−5+−25x−4x−31=(−25x)+(−5+−5)(Combine Like Terms)−4x−31=−25x+−10−4x−31=−25x−10Step 2: Add 25x to both sides.−4x−31+25x=−25x−10+25x21x−31=−10Step 3: Add 31 to both sides.21x−31+31=−10+3121x=21Step 4: Divide both sides by 21.21x21=2121x=1

MrRa [10]3 years ago

4 0

-31 - 4x = 5 - 5 ( 1 + 5x )
-31 - 4x = 5 - 5 - 25x
-31 - 4x = -25x
+ 31 to both sides
-4x = 6
/ -4 to both sides
x = 6/-4 = 3/-2

You might be interested in

Which transformation is happening in the image below

s2008m [1.1K]

Answer:

B.) Reflection over y=-3

Step-by-step explanation:

8 0

3 years ago

Someone please help.

Alexxandr [17]

Hi there!

$f(x)+f(x+1)=4f(x)$

There are 3 parts to this equation:

f(x)

f(x+1)

4f(x)

We must first determine these three parts separately.

1) f(x)

We're given that $f(x)=3^x$ :

⇒ $f(x)=3^x$ :

2) f(x+1)

Now, we must find f(x+1). To do so, add 1 to x in the original function $f(x)=3^x$ :

⇒ $f(x+1)=3^x^+^1$

3) 4f(x)

To find 4f(x), multiply the original function $f(x)=3^x$ by 4:

$4f(x)=4*3^x$ :

4) Put it all together

Now, plug each of the three parts into the equation $f(x)+f(x+1)=4f(x)$ :

$f(x)+f(x+1)=4f(x)$

$3^x+3^x^+^1=4*3^x\\3^x+3^x*3=4*3^x$

Factor the left side

$3^x*(1+3)=4*3^x$

Divide both sides by 3^x

$1+3=4\\4=4$

Because this equation is true, $f(x)+f(x+1)=4f(x)$ is therefore true.

I hope this helps!

3 0

3 years ago

Raw scores on a certain standardized test one year were normally distributed, with a mean of 156 and a standard deviation of 23.

s344n2d4d5 [400]

Answer:

About 220 of the students scored less than 96

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 156 and a standard deviation of 23.

This means that $\mu = 156, \sigma = 23$

Proportion that scored less than 96:

p-value of Z when X = 96. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{96 - 156}{23}$

$Z = -2.61$

$Z = -2.61$ has a p-value of 0.00453.

About how many of the students scored less than 96?

0.00453 out of 48592.

0.00453*48592 = 220.1.

Rounding to the closest integer:

About 220 of the students scored less than 96

3 0

3 years ago

(1/4)^-2 - (5^0 * 2) * 1^-1

Agata [3.3K]

14 is the answerrrrrrrrrrrrr

8 0

3 years ago

PLZ I NEED HELP ON THIS PROBLEM

dimulka [17.4K]

Answer:

-4x+1/10

Step-by-step explanation:

hope this helps mb if its wrong

7 0

2 years ago