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STALIN [3.7K]
3 years ago
12

For a given input value b, the function f outputs a value a to satisfy the following equation. 4a+7b=−52 Write a formula for ) f

(b) in terms of b.
Mathematics
2 answers:
zhenek [66]3 years ago
7 0

Answer:

f(b)=\dfrac{-52-7b}{4}

Step-by-step explanation:

The given equation is

4a+7b=-52

where, b is the input value and a is the output value of function f.

We need to find the formula for f(b) in terms of b.

It means we have to separate a on one side because a=f(b).

Consider the given equation.

4a+7b=-52

Subtract 7b from both sides.

4a+7b-7b=-52-7b

4a=-52-7b

Divide both sides by 4.

a=\dfrac{-52-7b}{4}

Substitute a=f(b).

f(b)=\dfrac{-52-7b}{4}

Therefore, the required formula is f(b)=\dfrac{-52-7b}{4}.

Sergio [31]3 years ago
5 0

Answer: Our required formula becomes :

a=f(b)=-13-\frac{7}{4}b

Step-by-step explanation:

Since we have given that

4a+7b=-52\\

We need to write a formula for f(b) in terms of b So, it becomes

4a=-52-7b\\\\a=\frac{-52-7b}{4}\\\\a=\frac{-52}{4}-\frac{7b}{4}\\\\a=-13-\frac{7b}{4}

Hence, our required formula becomes :

a=f(b)=-13-\frac{7}{4}b


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Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the g
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Answer:

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Step-by-step explanation:

since we are given a inequality as:

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Hence, option D is true.

6 0
3 years ago
The length of a rectangle is (6x2 + 3x - 2) units, and its width is (x3 - 2x + 5) units. Part A: What is the area of the rectang
strojnjashka [21]
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A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.
vlada-n [284]

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

5 0
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