Question 3 of 5
What is the equation of the line through (2. - 4) and (0,4)?
A. y=-4x - 4
B. y=-4x+4
O C. y= 4x+ 4
O D. y=4x - 4

Answer:

See below.

Step-by-step explanation:

So, we know that Noah's purchase can be modeled by the equation:

[tex]x-0.1x+2.70=56.70[/tex]

Part 1)

The solution to the equation will be the value of x.

In this case, x will represent the original price of the jeans.

We know that Noah has a coupon for 10% off the original price of the jeans.

So, 0.1x will represent how much of the original price Noah gets a a discount on.

Therefore, (x - 0.1x) represents the total cost of the jeans after the coupon.

So, x is our original price of the jeans.

Part 2)

To verify that 70 is not a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:

[tex](70)-0.1(70)+2.7\stackrel{?}{=}56.70[/tex]

Multiply:

[tex]70-7+2.7\stackrel{?}{=}56.7[/tex]

Subtract:

[tex]63+2.7\stackrel{?}{=}56.7[/tex]

Add:

[tex]65.7\neq56.7[/tex]

However, we can verify that 60 is the solution by substituting. So, substitute 60 for every x:

[tex](60)-0.1(60)+2.7\stackrel{?}{=}5.7[/tex]

Multiply:

[tex]60-6+2.7\stackrel{?}{=}56.7[/tex]

Subtract:

[tex]54+2.7\stackrel{?}{=}56.7[/tex]

Add:

[tex]56.7\stackrel{\checkmark}{=}56.7[/tex]

So, 60 is indeed the solution and is the value of x.

So, this means that $60 was the original price of the jeans.

Answer:

$60

Step-by-step explanation:

i did it on paper

Answer: quick math boi

Step-by-step explanation: photo maths

Answer:

It is a linear function.

Step-by-step explanation:

The graph shows a straight line. Therefore the function must be linear. Unless you were asking about the equation of the line? Let me know.

To find the equation of this line, you would take the two points it passes through, (-3, 0) and (0, -2), and plug it into the slope formula, (y2-y1)/(x2-x1).

This would get you (-2 - 0)/ (0 - (-3)), which is -2/3.

Then, you can use slope intercept form to write the equation, since you have the y intercept already, (0, -2).  Slope intercept is y=mx+b.

The line of the equation would then be y = -2/3x -2

Answer:

X = - 2 or X = 2

Step-by-step explanation:

*completing the square*

X^2 - 4 = 0

X^2 = 4

X = +-√4

x = +-2

x= -2, 2

*factoring*

X^2 - 4 = 0

(x-2)(x+2) = 0

|. |

x = 2, x = -2

________________________________

(x-2)(x+2) = x(x+2) - 2(x+2) = x^2 + 2x - 2x - 4 = x^2-4

Answer: 5/4

Step-by-step explanation:

Slope = rise over run

Up 5 over to the right 4

Answer:

D and E

Hope this help for you

Red

Answer:

54w-9

Step-by-step explanation:

the box to the right is -1 because you are multiplying 6w-1 by 9 (the box next to the blank one on the bottom). the other blank box below the 6w is going to be 54w since you multiply 6w and 9 to get that. therefore, 9(6w-1) is 54w-9.

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2

Answer:

1170 miles in 18 hours.

Step-by-step explanation:

Answer:

1170

Step-by-step explanation:

260 ÷4 = 65

65×18=1170

Answer:

it is

Step-by-step explanation:

Answer:

Not Proportional, you're correct

Answer:

p=5.7

Step-by-step explanation:

Cross multiply.

Answer:

p = 5.7

Step-by-step explanation:

Given

[tex]\frac{19}{20}[/tex] = [tex]\frac{3p}{18}[/tex] ( cross- multiply )

60p = 19 × 18 = 342 ( divide both sides by 60 )

p = [tex]\frac{342}{60}[/tex] = [tex]\frac{57}{10}[/tex] = 5.7

Answer:

r=11

Step-by-step explanation:

3r-13=2r-2

3r-13+13=2r-2+13

3r=2r+11

3r-2r=2r+11-2r

r=11

Answer:

I think it's 3.83

Answer:

Rounded to the nearest hundredth, the answer is 3.83cm^3

Step-by-step explanation:

The equation for the volume of a pyramid is

 Lwh/3

The length is 1.8, the width is 2.2, and the height it 2.9. These multiplied together is 11.484. Divide that by three, and you get your answer of 3.828, which when rounded to the nearest hundredth place is 3.83.

Hope this helps!

Step-by-step explanation:

given the expression

[tex]x^22y^4(x^2 - 16) - 9y^4(x^4 - 16)[/tex]

we proceed by opening the brackets

[tex]x^2y^4(x^2 - 16) - 9y^4(x^4 - 16) \\\\x^4y^4-16x^2y^4-9x^4y^4+144y^4\\\\[/tex]

collet like terms we have

[tex]x^4y^4-16x^2y^4-9x^4y^4+144y^4 \\\\x^4y^4-9x^4y^4-16x^2y^4+144y^4 \\\\8x^4y^4-16x^2y^4+144y^4[/tex]

factoring we have

[tex]8x^4y^4-16x^2y^4+144y^4\\\\8y^4(x^4-2x^2)+144y^4[/tex]

Answer: 184:368:920

Explanation: 920x0.4 is 368

Answer:

d-1+e=j

Step-by-step explanation:

d+7-8+e=j

subtract the like terms.

7-8=-1

d-1+e=j

Hope this helps.

Answer:

-2

Step-by-step explanation:

hi! to find f(-3) on this graph, go to the x-value -3 and find the y-value there. when we look at -3 on the x-axis, we go down and see that there is a point at (-3,-2). therefore, f(-3)=-2.

Answer:

you need to stop cheating or your not going to learn anything BOI

SHAPE UP BOI

Answer:

About 21 houses in 7 days

Step-by-step explanation:

Answer: 77

Step-by-step explanation:

Answer:

Step-by-step explanation:

can you get a bigger picture pls

Answer:

9 chapters per hour (ration 9:1)

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

19/5 (improper fraction), 3.8 (decimal form) those are all I can think of

Answer:

96 cm^2

Step-by-step explanation:

The triangle can be split into 2 6-8-10 triangles, each with area 24. The bottom parallelogram area is base times height, or 8 * 6, so 48. 24 + 24 + 48 is 96.

9514 1404 393

Answer:

  114°

Step-by-step explanation:

Angles LOM and MON are a linear pair, so are supplementary.

  x + 66 = 180

  x = 180 -66 = 114

The measure of ∠x is 114°.

Answer:

=11

Step-by-step explanation:

= -1 - 2(8)+7(4)

=-1-16+7(4)

= -1-16+28

=11

Step-by-step explanation:

-1^2-16+28

-1^2+12

-1+12=11