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3 years ago

Solve the inequality 9y+5(y+3)<4y−35 and write the solution in interval notation.

Mathematics

2 answers:

horsena [70]3 years ago

5 0

Answer:

y<-5

Your Interval Notation would be an open circle and the arrow would be pointing to the left. (<-- (-6) --- (-5) --- (-4) -->) This will be your # line.

Step-by-step explanation:

9y+5(y+3) < 4y-35

1) Distribute the 5 in 5(y+3).

9y+5y+15 < 4y-35

2) Combine like terms. 9y and 5y.

9y+5y= 14y

14y+15 < 4y-35

3) MY TIP is to keep the variables on the left side, bc if you don't at the end you will have to flip the sign. so.. Subtract 4y from both sides

14y+15 < 4y-35

-4 -4

10y+15 < -35

3) Then you will subtract 15 from both sides

10y+15 < -35

-15 -15

10y < -50

4) Last is to divide to get your variable by itself.

10y < -50

÷10 ÷10

Answer : y < -5

Interval Solution: Open circle, -5 in the middle of the line and you will shade in the numbers to the left. .

julia-pushkina [17]3 years ago

3 0

Answer:

( −∞,−5) interval notation, and inequality solution y < -5 ,

Step-by-step explanation:

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2 years ago

On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).

Darina [25.2K]

Answer:

Slope-Intercept form: y=x+3

Step-by-step explanation:

The Slope-Intercept form is y=mx+b

You first have to find the slope. You can use the graph and count or you can use the table and use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ . You then have to find (b) which is the y-intercept. You can find this easily using the graph or the table.

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2 years ago

Alexei wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.25 square feet

zhuklara [117]

Let

x---------> the thickness of the frame in feet

At-------> Area of the mirror and the frame in square feet

we know that

$At=19.25ft^{2}$ ------> equation $1$

$At=(3+2x)*(5+2x)\\ At=3*5+3*2x+5*2x+2x*2x\\ At=15+6x+10x+4x^{2} \\ At=4x^{2} +16x+15$ --------> equation $2$

equate equation $1$ and equation $2$

$19.25=4x^{2} +16x+15\\ 4x^{2} +16x+15-19.25=0\\ 4x^{2} +16x-4.25=0$

therefore

the answer is the option

$C. 4x2 + 16x - 4.25 = 0$

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dezoksy [38]

Answer:

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Step-by-step explanation:

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