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NemiM [27]
3 years ago
6

Five quarts of oil and an oil filter cost $20.35. However, with a coupon, these items may be purchased for $4.43 less. What is t

he final cost of the oil and filter?
Mathematics
1 answer:
kupik [55]3 years ago
4 0
Hey there :)

5 quarts of oil and an oil filter - $20.35
With couple - $4.43 less
Final cost?

We subtract 4.43 from $20.35
Why? That's the expected amount [ without a coupon ]

 20.35
-  4.43
  15.92

The final cost will be $15.92
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Answer:

Step-by-step explanation:

From the graph attached,

Coordinates of the vertices are,

Q(1, 3), R(3, -3), S(0, -2) and T(-2, 1)

Following the rule of translation by 3 units to the right and 2 units down T_{(3, -2)}

(x, y) → (x+3, y-2)

Q(1, 3) → Q''(4, 1)

R(3, -3) → R"(6, -5)

S(0, -2) → S"(3, -4)

T(-2, 1) → T"(1, -1)

Following rule r_{(180,\text{O})} (rotation of a point by 180° about the origin) will give the image points,

(x, y) → (-x, -y)

Q"(4, 1) → Q'(-4, -1)

R"(6, -5) → R'(-6, 5)

S"(3, -4) → S'(-3, 4)

T"(1, -1) → T'(-1, 1)

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3 years ago
Two line are ___ if and only if they lie in the same plane and do not intersect, and two lines are __ if and only if they lie in
Vilka [71]

the answer is C, I think because parallel lines never touch

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3 years ago
Julio has $3.30 left from his allowance. He
creativ13 [48]

Answer:

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Step-by-step explanation:

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(-4, -7) and (-6, 9) in slope-intercept form. Show work
BigorU [14]

Answer:

Equation of line in slope-intercept form is: y = -8x-39

Step-by-step explanation:

Given points are:

(-4, -7) and (-6, 9)

The slope-intercept form is given by the equation

y = mx+b

Here m is the slope of the line and b is the y-intercept.

m is found using the formula

m = \frac{y_2-y_1}{x_2-x_1}

Here

(x1,y1) = (-4-7)

(x2,y2) = (-6,9)

Putting the values in the formula

m = \frac{9+7}{-6+4} = \frac{16}{-2} = -8

Putting slope in general equation

y = -8x+b

Putting (-6,9) in the equation

9 = -8(-6)+b\\9 = 48+b\\b = 9-48\\b = -39

Putting the value of b we get

y = -8x-39

Hence,

Equation of line in slope-intercept form is: y = -8x-39

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