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3 years ago

Determine the intercepts of the line Y+5=2(x+1)?

Mathematics

1 answer:

inn [45]3 years ago

7 0

Answer:

The x intercept is (3/2,0)

The y intercept is (0,-3)

Step-by-step explanation:

Y+5=2(x+1)

To find the x intercept, set y =0 and solve for x

0+5=2(x+1)

Distribute

5 = 2x+2

Subtract 2 from each side

5-2 =2x +2-2

3 =2x

Divide by 2

3/2 =x

The x intercept is (3/2,0)

To find the y intercept, set x =0 and solve for y

y+5=2(0+1)

y+5 = 2*1

y+5=2

Subtract 5 from each side

y+5-5=2-5

y=-3

The y intercept is (0,-3)

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Is this set of ordered pAirs a function (0,2) (3,3) (8,7) (2,2) (3,9)

diamong [38]

Answer:

No, not a function

Step-by-step explanation:

Functions cannot have two or more same domain and different range. (3,3) and (3,9) have same domain and different range.

5 0

3 years ago

Hi can you help !!!???

GalinKa [24]

Answer:

Step-by-step explanation:

4 1/3 can be separated into 4, and 1/3.

half of 4 is 2.

Half of 1/3 is 1/6.

Add 2 and 1/6, and you get 2 and 1/6. Answer is C

5 0

2 years ago

Read 2 more answers

a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a

rusak2 [61]

Answer:

5 km/h or 6 km/h

Step-by-step explanation:

Let the speed of the boat be x
Speed against the current in the river is x - 2

Time in the river:

6/(x - 2)

Time in the lake:

15/x

The difference:

6/(x - 2) = 15/x - 1

Solve for x to find the speed of the boat

Multiply both sides by x(x - 2) to clear the fraction:

6x = 15(x - 2) - x(x - 2)
6x = 15x - 30 - x² + 2x
x² - 11x + 30 = 0
(x - 5)(x - 6) =0
x -5 = 0, x - 6 = 0
x = 5 km/h, x = 6 km/h

4 0

3 years ago

Read 2 more answers

How many 2-digit numbers can be formed using only the digits 2, 3, 5 and 6, if the numbers are not repeated within a number?

larisa [96]

(1) Repetition allowed : There are 4 choices for both positions, so 4 × 4 = 16 2-digit numbers can be formed. (2) Repetition not allowed : There are 4 options for tens position, and three options for ones position. Therefore, 4 × 3 = 12 2-digit numbers can be formed.

8 0

3 years ago

4x+5-2=3x+7x-15 I dont get how to get the answer for this please help.

fredd [130]

Hello there! How are you today?

4x + 5 -2 = 3x + 7x - 15

First, we need to get the variable (x) on one side. To do that, we must simplify the right side of the equation, and then decide what to do from there, so let's proceed to do so.

3x + 7x = 10x

4x + 5 - 2= 10x - 15

Now we have x simplified on both sides of the equation. However, we need x to be on one side of the equation in order to solve for it.
Subtract 4x from both sides.

4x - 4x = 0
10x - 4x = 6x

We are now left with:
6x - 15 = 5 - 2

Simplify the right side of the equation.

5 - 2 = 3

6x - 15 = 3

Now we need to isolate x. To isolate x, we need to add 15 to both sides, as x is being subtracted by 15, and adding 15 will cancel it out.

-15 + 15 = 0
3 + 15 = 18

We now are left with:
6x = 18

Now we only have one step left, and that is to solve for x. Since x is being multiplied by 6, we need to perform the opposite order of operations to cancel it out. To do that, we must divide both sides by 6 to solve for x.

6x = 18
Divide both sides by 6.

6x / 6 = x
18 / 6 = 3

We are now left with the solution:

x = 3

I hope this helps!

4 0

3 years ago