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Goryan [66]
2 years ago
10

Consider the graph of y= f(x), shown below

Mathematics
1 answer:
andrey2020 [161]2 years ago
6 0

Answer: The domain is \boxed{(-4, 4)} and the range is \boxed{[-4, 4]}.

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

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Complete the square for x2 - 4x +<br> Then write the resulting expression as a<br> binomial squared.
alekssr [168]

Answer:

x(x-4)

Step-by-step explanation:

4 0
3 years ago
Its 3 questions plz answer I really need it.
hammer [34]

Answer:

A

C

D

Step-by-step explanation:

6 0
2 years ago
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0
2 years ago
The length of a rectangle is 71/2 inches and the width is 23/4 inches. What is the ratio, using whole numbers, of the length to
Over [174]

Answer:

142:23

Step-by-step explanation:

The length of the rectangle is given as 71/2 while its width is 23/4

We are required to determine the ratio of the length to the width;

length:width

(71/2):(23/4)

(71/2)/(23/4)

71/2 * 4/23 = 142/23

The ratio of the length to the width is thus;

142:23

6 0
3 years ago
Please help me asap!
Mazyrski [523]

Answer:

x value is 10 as per as the question its value is 10

3 0
3 years ago
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