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ioda
2 years ago
15

Find the inverse of f(x) = -3 -4/5x

Mathematics
1 answer:
Alenkinab [10]2 years ago
3 0

Answer:

-5/4x -15/4 = y

Step-by-step explanation:

y = -3 - 4/5x

To find the inverse, exchange x and y

x = -3 - 4/5 y

Solve for y

Add 3 to each side

x+3 = -4/5y

Multiply each side by -5/4

-5/4(x+3) = -5/4 * -4/5(y)

-5/4x -15/4 = y

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What is the equation of the circle with center (-3,1) that passes through the point (-5, 3)?
Natali5045456 [20]

Answer:

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by:

(x-h)^2 + (y-k)^2 = r^2

Given

Center = (h,k) = (-3,1)

=> h = -3

=> k = 1

The distance between the center of circle and the point through which the circle passes will be the radius.

The distance formula is given by:

r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Given

(x_1,y_1) = (-3,1)\\(x_2,y_2) = (-5,3)

Putting the values in the formula

r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}

Putting the values of h,k and r in general form of equation

\{x-(-3)}^2\} +(y-1)^2 = (\sqrt{8})^2\\(x+3)^2+(y-1)^2 = 8

Hence,

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

4 0
3 years ago
Is w = 9 a solution to the equation 14 - w = 23?
Len [333]

Answer:

No

Step-by-step explanation:

14 - 9 = 3

3 < 23

6 0
3 years ago
Read 2 more answers
Write down step by step the process that you use<br> to solve multiplying a fraction by an integer.
Marta_Voda [28]

Answer:

you place the 1 under the integer and follow the steps keep change it flip it . SO basically you keep the integer and the 1 and you change the sign to division and you place the numerator where the denominator is and the  denominator goes where the numerator is.

Step-by-step explanation:

3 0
3 years ago
Triangle ADE is similar to triangle ABG. Which of the following statements must be
aalyn [17]
The last one is the correct answer.
3 0
2 years ago
You are decorating a Rose Bowl float. There are 108 red roses, 144 white roses, 48 yellow roses, and 72 purple roses. If bunches
notsponge [240]

Answer:

Step-by-step explanation:

Number of red roses = 108

Number of white roses = 144

Number of yellow roses = 48

Number of purple roses = 72

If the number of roses in each bunch are identical,

Number of bunches of roses = HCF of number of roses

Factors of 144 = 3×3×2×2×2×2×1

Factors of 108 = 3×3×3×2×2×1

Factors of 72 = 3×3×2×2×2×1

Factors of 48 = 3×2×2×2×2×1

Common factors of 144, 108, 72, 48 = 3 × 2 × 2 × 1 = 12

Therefore, number of bunches of roses with equal number of roses = 12

Number of red roses in each bunch = \frac{108}{12}=9

Number of white roses in each bunch = \frac{144}{12}=16

Number of yellow roses in each bunch = \frac{48}{12}=4

Number of purple roses in each bunch = \frac{72}{12}=6

5 0
3 years ago
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