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2 years ago

Which option shows the graph of 2y-10 < 3x?

Mathematics

1 answer:

Alex2 years ago

6 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$2y-10 < 3x$

isolate the variable y

Adds 10 both sides

$2y < 3x+10$

Divide by 2 both sides

$y < 1.5x+5$

The solution of the inequality is the shaded area below the dashed line $y=1.5x+5$

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,5) (value of y when the value of x is equal to zero)

The x-intercept of the dashed line is (-3.33,0) (value of x when the value of y is equal to zero)

using a graphing tool

The graph in the attached figure

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Use the distributive property to expand -4(-2/3+3x). Which is an equivalent expression?

Bad White [126]

$- 4 \times ( \frac{2}{3} + 3x)$
Multiply each term in the parentheses, namely 2/3 and 3x, by the only term outside of the parentheses, -4.

Each of the resulting products becomes a new term in the addition.

$( - 4 \times \frac{2}{3} ) + ( - 4 \times 3x)$
$( - \frac{8}{3} ) + ( - 12x)$
$- \frac{8}{3} - 12x$
You may choose to keep the answer this way, or continue to change the improper fraction into a proper fraction. A lot of teachers also prefer to have the highest degree terms (terms that have variables with the highest powers) on the left.

$- 12x - 2 \frac{2}{3}$

7 0

3 years ago

Read 2 more answers

285,624 rounded to the nearest ten thousand

mixas84 [53]

290,000

4 ones place
2 tens place
6 hundreds place
5 thousandths place
8 ten thousandths place
2 hundred thousandths place

When the number after the number you want to round (we want to round the 8, the number after 8 is 5) is 5, 6, 7, 8, or 9 we round up, otherwise, we stay the same

5 is in the list so we round 8 up to 9.

290,000

3 0

3 years ago

What is the volume, in cubic ft, of a cylinder with a height of 17ft and a base radius of 5ft, to the nearest tenths place?

sweet [91]

Answer: 1335.2 ft^2

Step-by-step explanation: The volume of a cylinder formula is V=πr^2h. Just plug in 17 into h and 5 into r. Also the 2 is an exponent

8 0

3 years ago

A group is hiking up a mountain. Their hike begins at 77 feet below sea level. They stop for lunch after ascending 523 feet. Wha

lozanna [386]

Answer:

446 feet

Step-by-step explanation:

-77 + 523 = 446

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2 years ago

Does the table describe a function? Input value 5,10,14,10,5 output value -14,-8,0,8,13

Nutka1998 [239]

no, because the inputs repeat

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3 years ago