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3 years ago

Is this a linear function X 0 1 2 3 Y 1 2 5 10

Mathematics

1 answer:

belka [17]3 years ago

8 0

Answer:

Yes!

Step-by-step explanation:

Because, x-intercepts are not being repeated and pass the vertical line test.

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A carpenter is making a rectangular form for a concrete pad she wants the length of the path to be 11 feet more than the width o

Basile [38]

Answer:

Length = 16 or -5 feet.

Width = 5 or -16 feet.

Step-by-step explanation:

Let the length of the concrete pad = l

Let the width of the concrete pad = w

Given the following data;

Area of concrete pad, a = 80ft²

Translating the word problem into an algebraic equation, we have;

$l = 11 + w$

We know that, the area of rectangle, A = length * width

$A = l*w$

Substituting the values into the equation, we have;

$80 = (11 + w)w$

Expanding the bracket, we have;

$80 = 11w + w^{2}$

$w^{2} + 11w - 80 = 0$

*Solving the quadratic equation by using factorization method*

$w^{2} + 16w - 5w - 80 = 0$

$w(w + 16) - 5(w + 16) = 0$

$(w - 5)(w + 16) = 0$

Width, w = 5 feet or w = -16 feet.

Therefore, the width of the concrete pad is 5 feet or -16 feet.

To find its length, l;

$l = 11 + w$

When w = 5 feet

$l = 11 + 5$

Length, l = 16 feet

When w = - 16 feet

$l = 11 + (-16)$

$l = 11 - 16$

Length, l = -5 feet.

Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.

6 0

3 years ago

Cost 75.09 with a 38% markup

Sophie [7]

Answer:

103.62

Step-by-step explanation:

If I am understanding this question correctly you want the answer for how much the total would be for a 38% markup at a starter price of 75.09.

In which case it would be 103.62.

It is a 28.53 increase.

5 0

3 years ago

HELP!!! I will give brainliest, 25 points!!

kirza4 [7]

Cards = x

Bouquets = y

They spend 2 on each card so 2x and 3.50 for each bouquet so 3.50y add those together to get the total they can spend 2x + 3.50y = 360

Then add the sales together: 6x + 8y = 900

Answer: D. 2x + 3.50y = 360; 6x + 8y = 900

6 0

3 years ago

(30 POINTS AND BRAINLIEST FOR BEST)

Romashka-Z-Leto [24]

Part A)

Multiply the amount he earned by 8.5%

8.5% written as a decimal is 0.085.

75,000 x 0.085 = $6,375

Part B)

Subtract the amount of tax from his earnings:

75,000 - 6,375 = $68,625

8 0

3 years ago

Please help!!! I will give brainliest and 50 points The question is attached below

Serggg [28]

Answer:

1 + ln 2 - ln x

Step-by-step explanation:

ln ( 2e /x)

We know that ln ( a/b) = ln ( a) - ln (b)

ln (2e) - ln (x)

We also know that ln ( a*b) = ln a + ln b

ln ( 2) + ln e - ln x

We know that the ln e = 1

ln 2 + 1 - ln x

Changing the order

1 + ln 2 - ln x

4 0

3 years ago