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3 years ago

Find the average rate of change of

Mathematics

1 answer:

Bas_tet [7]3 years ago

4 0

Answer:

Rate of change = - 4

Step-by-step explanation:

$h(x) = -x^2 + 3x + 1 \\\\h(2) = -(2)^2 + (3 \times 2) + 1 = - 4 + 6 + 1 = 3\\h(5) = - (5)^2 + ( 3 \times 5) + 1 = - 25 + 15 + 1 = -9\\$

Rate of change :

$= \frac{h(2) - h(5)}{2-5} = \frac{3-(-9)}{2-5} = \frac{3+9}{-3} = - \frac{12}{3} = -4$

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Julie and Tim are both cable subscribers. Julie pays $70 per month plus an additional $4.25 for each movie she orders. Tim pays

Kaylis [27]

Answer:

no of movies (m), by Tim = 13

Step-by-step explanation:

Julie payment = constant 70 + 4.25 per additional movie = 70 + 4.25 m

Tim payment = constant 49.5 + 5.5 per additional movie = 49.5 + 5.5 m

Julie order = 12 movies. So, final payment = 70 + 4.25 (12) = 70 + 51 = 121

Equalising Tim's equation, for finding Tim's movies for same final amount , 121 = 49.5 + 5.5 m → 5.5m = 121 - 49.5 = 71.5 → m = 71.5 / 5.5 = 13

4 0

3 years ago

When Sunita weighed herself on Monday, she found that she had gained 1 1/4 kg. Earlier her weight was 46 3/8 kg. What was her we

san4es73 [151]

Answer:

$47\frac{5}{8}$

Step-by-step explanation:

Weight from before + Weight gained

$46\frac{3}{8} +1\frac{1}{4}$

Convert to improper fractions.

$371/8 + 5/4$

Find the common denominator.

$371/8 + 10/8$

Add.

$381/8$

Convert to a mixed fraction.

$47\frac{5}{8}$

8 0

3 years ago

Read 2 more answers

Which equation could be used to solve for the length of side c, given a = 5, b = 12, and C = 72°?

Alona [7]

Answer:

The value of the length of the side C is 11.49.

Step-by-step explanation:

Cosine formula is applicable.

c² = a² + b² -2abcos(C)

substitute the values:

c² = (5)² + (12)² -2(5)(12)cos(72)

= 25 + 144 - 2 (60) (0.309)

= 169 - 37.08

c² = 131.92

square root both sides:

c = sqrt(131.92)

C = 11.49

5 0

3 years ago

The value of y varies directly with x. If x = 15, then y = 12. What is the value of y, when x = 21?

Andrei [34K]

Answer: 16.8

Step-by-step explanation: if x= 15 and y =12 we know that y =.8 of x or 4/5 of x. Knowing this we can divide x (21) by 5 and get 4.2. We can then multiply this and get 16.8 which is 4/5 of x(21). y=16.8

8 0

3 years ago

Sophia drops her pencil in a cup and

MariettaO [177]

Answer:

5cm

Step-by-step explanation:

Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.

<em>-kiniwih426</em>

4 0

3 years ago