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3 years ago

3(x + 5) − 3 = 52 − 2x

2 answers:

7 0

3(x+5)-3=52-2x

1.multiply inside the parentheses by 3 >> {3x+15-3=52-2x}

2. subtract 15 and 2 >>>> {3x+12=52-2x}

3. 3x-2x= 1x >>>> {x+12=52}

4. 52-12= 40 >>> {x=40}

5. answer is 40

Anna11 [10]3 years ago

5 0

Answer: The value of x is 8

Step-by-step explanation:

3(x + 5) − 3 = 52 − 2x

First open the bracket, and do multiplication

3x + 15 - 3 = 52 - 2x

3x + 12 = 52 -2x

Collect like terms, and make the whole expression equal to zero

3x + 12 - (52 - 2x) = 0

3x + 12 - 52 + 2x = 0

3x + 2x + 12 - 52 = 0

5x - 40 = 0

5x = 40

Divide both sides by 5

5x/5 = 40/5

x = 40/5

x = 8

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Solve for the indicated variable 3x - y = 10; y

VashaNatasha [74]

Answer:

y = 3x - 10

Step-by-step explanation:

Starting with 3x - y = 10, add y to both sides:

3x = 10 + y

Then subtract 10 from both sides:

3x - 10 = y

If you switch the sides of the equation, it can also be written as:

y = 3x - 10

7 0

3 years ago

15. Construct the slope-intercept form equation of the line passing through (-5,23) and (10,-5).

Radda [10]

Answer:

15y = -28 x + 205.

Step-by-step explanation:

Slope intercept form of equation is y = mx + c where m is slope and c is the y intercept.

Now slope of line passing through points (-5, 23) and (10, -5):

$m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{-5 -23}{10 + 5} = \frac{-28}{15}$

Now equation of line:

y = mx + c

substituting the value of m in above expression,

$y = -\frac{28}{15} x + c$

Now, since the line is passing through the point (-5, 23) therefore, x = -5 and y = 23. By substituting these values in above equation,

$23 = -\frac{28}{15} \times (-5) + c$

$23 = \frac{28}{3} + c$

$c = 23 - \frac{28}{3} = \frac{69 - 28}{3} = \frac{41}{3}$

So equation of line in slope intercept form:

$y = -\frac{28}{15} x + \frac{41}{3}$

Further solving,

15y = -28 x + 205.

3 0

3 years ago

The sum of two numbers is 240. If one number is twice the other number, find the two numbers.

Deffense [45]

Answer:

The sum of two numbers is 240. The larger number is 6 less than twice the smaller. Find the numbers.

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Let the smaller be "x" ; Larger is "2x-6"

EQUATION:

x + 2x-6 = 240

3x= 246

x = 82 (smaller)

2x-6 = 158 (larger)

Step-by-step explanation:

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3 years ago

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The slope of the line below is 2. Which of the following is the the point-slope form of the line?

Jobisdone [24]

Answer: y + 1 = 2 (x -1)

Step-by-step explanation:

Point slope form is:

y - y1 = m (x - x1)

Point on the line is (1, -1) and slope is 2

m = 2

y1 = -1

x1 = 1

y - (-1) = 2 (x - 1) or y + 1 = 2 (x -1)

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3 years ago

If a student scored 75 points on a test where the mean score was 83.5 and the standard deviation was 6.1. the student's z score

Delvig [45]

Answer: ( -1.5)

have a nice day:)

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3 years ago

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