MATHEMATICS MIDDLE SCHOOL

The square root of 6x-38 = x-5Solve for x

(first correct answer gets brainliest)
(it is the square root of both 6x and 38)

Answers

Answer 1

Answer:

Answer:

The solution set is = {7, 9}.

Step-by-step explanation:

√(6x - 38) = x - 5

Square both sides:

6x - 38 = (x - 5)^2

x^2 - 10x + 25 - 6x + 38 = 0

x^2 - 16x + 63 = 0

(x - 7)(x - 9) = 0

x = 7, 9.

Check these solutions:

x = 7:

√(6x - 38) = √(42-38) = 2 and 7 - 5 = 2 so this is correct.

x = 9

√(6x - 38) = √(54 - 38) = √16 = 4 and 9 - 5 = 4 so 9 is also correct.

Answer 2

Answer: Answer:

{7, 9}

I hope this helps you!!

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Alma ask money to buy a bicycle of $150. his mom give him $40 at the moment and gives kyle $10 each month to pay the total of the bicycle. Please write an equation for this problem.

Answers

Answer: $40+$10x

Step-by-step explanation:

1. We already know he has $40.

2. 10x represent the 10 dollars he is paid per month.

Use the following graph of the function f(x) = 3x4 − x3 + 3x2 + x − 3 to answer this question: graph of 3 x to the fourth, minus x cubed, plus 3 x squared, plus x minus 3. What is the average rate of change from x = 0 to x = 1?

Answers

For this case we have the following function:
$f (x) = 3x ^ 4 - x ^ 3 + 3x ^ 2 + x - 3$
By definition we have that the average rate of change is given by:
$AVR = (f(x2)-f(x1))/(x2-x1)$
We evaluate the function for the given interval:
For x = 0:
$f (0) = 3 (0) ^ 4 - (0) ^ 3 + 3 (0) ^ 2 + (0) - 3f (0) = - 3$
For x = 1:
$f (1) = 3 (1) ^ 4 - (1) ^ 3 + 3 (1) ^ 2 + (1) - 3f (1) = 3$
Substituting values we have:
$AVR = (3-(-3))/(1-0)$
Rewriting we have:
$AVR = (3+3)/(1-0)$
$AVR = (6)/(1)$
$AVR =6$
Answer:
the average rate of change from x = 0 to x = 1 is:
$AVR =6$

Answer:

Average rat of change of function is 6 from x = 0 to x = 1.

Step-by-step explanation:

We are given a function:

$f(x) = 3x^4 - x^3 + 3x^2 + x - 3$

The attached image shows the graph for the given function.

Average rate of change of function =

$\text{Average rate of change} = \displaystyle(\delta y)/(\delta x) = (f(b)-f(a))/(b-a)$

Now we will evaluate f(1) and f(0).

$f(x) = 3x^4 - x^3 + 3x^2 + x - 3\nf(1) = 3(1)^4 - (1)^3 + 3(1)^2 + (1) - 3 = 3\nf(0) = 3(0)^4 - (0)^3 + 3(0)^2 + (0) - 3 = -3$

Putting the values, we get,

$\text{Average rate of change} = \displaystyle(f(1)-f(0))/(1-0)\n\n= (3-(-3))/(1-0) = (6)/(1) = 6$

Thus, the average rat of change of function is 6 from x = 0 to x = 1.

i need this ASAP Steve’s score in a card game is 5 points away from zero. Denia’s score is the opposite of Steve’s and is a positive value. What is Denia’s score?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

cause 5 away from 0 could be -5 or 5 but because hers is a positive value it is 5

Ratio of the change in an amount to the original amount expressed as a percent.Dependent variable
Percent of change
Percent of decrease
Percent of increase

Answers

That ratio is the percent of change.

PLEASE HELP! WILL CHOOSE THE BRAINLIEST ANSWER!!Mark has 100 blue marbles, 34 red marbles, and 98 green marbles. After pulling out 6 blue marbles, 3 green marbles, and 1 red marble, he add's 20 pink marbles. What is the probability that he will pull out a pink marble?

Answers

Mark started out with 232 marbles in the bowl. He pulled out 10 of them, leaving 222 marbles in the bowl. Then he added some. Now there are 242 marbles in the bowl, and 20 of them are pink. The probability that his next pull will be a pink one is 20/242 = about 8.3 percent.

The probability of Mark pulling out a pink marble is approximately 0.083 or 8.3%.

To find the probability of pulling out a pink marble, we need to know the total number of marbles Mark has after making the changes described in the problem.

Mark started with a total of 100 + 34 + 98 = 232 marbles.

After pulling out 6 blue, 3 green, and 1 red marble, he has 100 - 6 = 94 blue marbles, 34 - 1 = 33 red marbles, and 98 - 3 = 95 green marbles left. This means he has a total of 94 + 33 + 95 = 222 marbles.

When he adds 20 pink marbles, his total number of marbles becomes 222 + 20 = 242.

So the probability of pulling out a pink marble is:

Number of pink marbles / Total number of marbles = 20/242 ≈ 0.083

Therefore, the probability of Mark pulling out a pink marble is approximately 0.083 or 8.3%.

To learn more about probability here:

brainly.com/question/30034780#

#SPJ11

If 2/√3+√5 + 5/√3-√5 = a√3 +b√5 find a and b