Find the x- and y-intercepts of the graph of 7x + y = 30. State each answer as an integer or an improper fraction in simplest form.

Answers

Answer 1

Answer:

Answer: x-int: (30/7, 0) y-int: (0, 30)

Step-by-step explanation: first, isolate Y, y=-7x+30. after that substitue Y with 0 to find the Y-int and then X with 0 to find the X-int

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For f(x) = 3x +1 and g(x) = x2 – 6, find (f- g)(x).

Answers

Answer:

$\boxed{\sf (f-g)(x) = -{x}^(2) + 3x + 7}$

Given:

$\sf f(x) = 3x + 1 \n \sf g(x) = {x}^(2) - 6$

To find:

$\sf (f - g)(x) = f(x) - g(x)$

Step-by-step explanation:

$\sf \implies(f - g)x = f(x) - g(x) \n \n \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) - ( {x}^(2) - 6) \n \n \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) + (- {x}^(2) + 6) \n \n \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x + 1 - {x}^(2) + 6 \n \n \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - {x}^(2) + 3x + 1 + 6 \n \n \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = -{x}^(2) + 3x + 7$

How do you find the area of a hexagon?

Answers

you break it up into triangles, and from there you multiply 180 by the number of triangles in the hexagon (should be 4 triangles).

you would have to do length times the width or count all the sides.

If the price of an object dropped 65% down to $99.99, what was the original price?

Answers

If the price of an object dropped 65% down it means that 35% is $99.99, well,
then we make a proportion and solve 99.99 multiply by 100 and divide by 35,
then we get the original price $285,7

maybe I have a mistake)

The answer is 153.83. Because if you multiply 99.99 by .65, thats the answer

The length of a rectangle is five more than the width. The perimeter is 170. Find the length and width. Write equation and solve.

Answers

170=2l+2w
l=w+5
w=l-5
170=2l+2(l-5)
170=2l+2l-10
180=4l
l=45
w=40

Final answer:

To find the length and width of a rectangle given the perimeter and the relationship between the length and width, we can set up an equation. By solving the equation, we can determine the dimensions of the rectangle.

Explanation:

Let's assume the width of the rectangle is x units. Given that the length is 5 more than the width, the length would be x + 5 units. The perimeter of a rectangle is given by 2(length + width), so we can write the equation as 2(x + 5 + x) = 170. Simplifying the equation, we get 4x + 10 = 170. Solving for x, we have x = 40. Therefore, the length is x + 5 = 45 units and the width is x = 40 units.

Learn more about Solving Equations here:

brainly.com/question/29050831

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Which equation represents this problem?Carol's age is three more than two times Lindsay's age. Carol is 39 years old. How old is Lindsay?

Let l = Lindsay's age in years.

3l + 2 = 39

2l–3=39

3l–2=39

2l + 3 = 39

Answers

Answer:

2l + 3 = 39

Step-by-step explanation:

the equation is 3 + 2L = C, where L is Lindsay's age and C is Carol's age

3 + 2L = 39

32 > 16-2r
Solve the inequality and graph (show work)
Please answer quickly

Answers

Answer:

31.938

that is what i got

Step-by-step explanation:

Answer:

-8<r

Step-by-step explanation:

32>16-2r

minus 16 both sides

16>-2r

divide by negative two both sides since it's a negative you switch sighs

-8<r

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