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2 years ago

the area of a rectangular back yard is given by the trinomial b^2+5b-24. What are possible dimensions of the backyard?

Mathematics

1 answer:

yanalaym [24]2 years ago

4 0

B^2+5b-24 Using the AC method for factoring (b+8)(b-3)

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Scientists modeled the intensity of the sun, I, as a function of the number of hours since 6:00 a.m., h, using the

MAVERICK [17]

The functions are illustrations of composite functions.

The soil temperature at 2:00pm is 67

The given parameters are:

$\mathbf{I(h) =\frac{12h - h^2}{36}}$ ---- the function for sun intensity

$\mathbf{T(I) =\sqrt{5000I}}$ -- the function for temperature

At 2:00pm, the value of h (number of hours) is:

$\mathbf{h = 2:00pm - 6:00am}$

$\mathbf{h = 8}$

Substitute 8 for h in $\mathbf{I(h) =\frac{12h - h^2}{36}}$ , to calculate the sun intensity

$\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}$

$\mathbf{I(8) =\frac{32}{36}}$

$\mathbf{I(8) =\frac{8}{9}}$

Substitute 8/9 for I in $\mathbf{T(I) =\sqrt{5000I}}$ , to calculate the temperature of the soil

$\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}$

$\mathbf{T(8/9) =\sqrt{4444.44}}$

$\mathbf{T(8/9) =66.67}$

Approximate

$\mathbf{T(8/9) =67}$

Hence, the soil temperature at 2:00pm is 67

Read more about composite functions at:

brainly.com/question/20379727

5 0

2 years ago

A dealer sold 200 tennis racquets. Some were sold for $33 each, and the rest were sold on sale for $18. The total receipts form

Mumz [18]

120 tennis racquets were sold for $ 18 each

Solution:

Let x = number that sell for $18 each

Then, 200 - x = number that sell for $33 each

The total receipts form these sales were 4800 dollars

Thus we frame a equation as:

number that sell for $18 each x 18 + number that sell for $33 each x 33 = 4800

$x \times 18 + (200-x) \times 33 = 4800\\\\Solve\ the\ above\ equation\ for\ x\\\\18x + 6600 - 33x = 4800\\\\Move\ the\ variables\ to\ one\ side\\\\18x-33x = 4800-6600\\\\-15x = -1800\\\\Divide\ both\ sides\ of\ equation\ by\ -15\\\\x = 120$

Thus 120 tennis racquets were sold for $ 18 each

6 0

3 years ago

The graph shows the relationship between the price of frozen yogurt and the number of ounces of frozen yogurt sold at different

snow_lady [41]

Answer:

Step-by-step explanation:

If you look at where $5 crosses the line of best fit, you see it between 12 and 14 ounces. The answer is 13.

3 0

2 years ago

Read 2 more answers

A recipe for cinnamon rolls uses 2 tablespoons of sugar per teaspoon of cinnamon for the filling. Write the ratio that represent

Anvisha [2.4K]

A recipe for cinnamon rolls uses 2 tablespoons of sugar per teaspoon of cinnamon for the filling. Write the ratio that represents sugar to cinnamon for three batches of filling

_________________________

Each batch of filler

2 tablespoons of sugar per teaspoon of cinnamon for the filling

2:1

For three batches of filling

2*3 tablespoons of sugar per 1*3 teaspoons of cinnamon for the filling

6 tablespoons of sugar per 3 teaspoons of cinnamon for the filling

6:3

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4 0

7 months ago

Find the value of n?

Svet_ta [14]

Answer:

n=q^2

Step-by-step explanation:

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2 years ago