All categories

3 years ago

Solve for x: 5(x-2)+7=65-4(5x-8) SHOW STEPS PLZZZZZZ HELP

Mathematics

2 answers:

miskamm [114]3 years ago

6 0

5(x-2)+7=65-4(5x-8)

We move all terms to the left:

5(x-2)+7-(65-4(5x-8))=0

We multiply parentheses

5x-(65-4(5x-8))-10+7=0

We calculate terms in parentheses: -(65-4(5x-8)), so:

65-4(5x-8)

determiningTheFunctionDomain

-4(5x-8)+65

We multiply parentheses

-20x+32+65

We add all the numbers together, and all the variables

-20x+97

Back to the equation:

-(-20x+97)

We add all the numbers together, and all the variables

5x-(-20x+97)-3=0

We get rid of parentheses

5x+20x-97-3=0

We add all the numbers together, and all the variables

25x-100=0

We move all terms containing x to the left, all other terms to the right

25x=100

x=100/25

x=4

NemiM [27]3 years ago

4 0

Answer:

x=4

Step-by-step explanation:

1) Expand each side: 5x-10+7=65-20x+32

2) Move x to one side: 25x-10+7=65+32

3) Move everything else to other side: 25x= 65+32+10-7

4) Simplify: 25x=100

5) Solve for x by dividing both sides by 25: x=4

You might be interested in

How do you simplify (5+5n3)-(1-3n3)

Yakvenalex [24]

Answer:

8n³ + 4

Step-by-step explanation:

4 0

3 years ago

How do I solve question 2?

sdas [7]

you multiply the number of years

6 0

3 years ago

Please solve these sums<br>for 10 points

laila [671]

Answer:

(i) = 3

(ii) = 20

Step-by-step explanation:

x = 1

y = -2

z = -1

(i) 4x - 3y + 7z

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

4 + 6 - 7 = 3

(ii) 2x³ - 6y²z + 3xyz²

2(1)³ - 6(-2)²(-1) + 3(1)(-2)(-1)²

2 + 24 - 6 = 20

3 0

3 years ago

Read 2 more answers

A population of mice is increasing exponentially. On Monday there were 120 mice. One month later there were 132 mice. Write a fu

den301095 [7]

Answer:

$y =120*1.1^x$

$r = 10\%$ --- Percentage increase

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y = ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 =a * 1$

$120 =a$

Rewrite as:

$a = 120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute $a = 120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

Recall that:

$y = ab^x$

Hence, the function is:

$y =120*1.1^x$

To get the monthly percentage increase (r), we have:

$y = a(1 + r)^x$

Compare to: $y = ab^x$

So:

$1+r =b$

Make r the subject

$r = b-1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

8 0

3 years ago

Slope of 9 passes through the point (-3,2)

boyakko [2]

Answer:

y-2=9(x+3)

Step-by-step explanation:

y-y1=m(x-x1)

y-2=9(x-(-3))

y-2=9(x+3)

7 0

3 years ago