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2 years ago

Function p(x), shown below, is translated 10 units up to create function q(x).

Mathematics

1 answer:

natulia [17]2 years ago

3 0

Answer: q(x) = 0.005(x - 40)² + 70

Step-by-step explanation:

f(x) = a(x - h)² + k where a is the vertical stretch and (h, k) is the vertex.

Which coordinate shifts the graph up? The y-coordinate for the vertex is k.

p(x) = 0.005(x - 40)² + 60

q(x) = 0.005(x - 40)² + 60 + 10

= 0.005(x - 40)² + 70

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Solve: 3x^2+16x+5=0

ExtremeBDS [4]

Answer:

(3x+1)(x+5)

Step-by-step explanation:

Sorry for my handwriting lol hope this makes sense

6 0

2 years ago

A cell phone plan costs $39 a month. The plan includes 2 gigabytes (GB) of free data and

DerKrebs [107]

a) C(0.5) = 39, C(2) = 39, C(4) = 69

b) Answers in part (a) represents the values of C at x = x₀

c) C(x) is continuous at x = 2

C (x) = 39 for 0 ⩽ x ⩽ 2

Since x = 0.5 is in the range 0 ⩽ x ⩽ 2:

C(0.5) = 39

Since x = 2 is in the range 0 ⩽ x ⩽ 2

C(2) = 39

Since x = 4 is in the range x > 2

C(4) = 39 + 15(x - 2)

C(4) = 39 + 15 (4 - 2)

C(4) = 39 + 15(2)

C(4) = 39 + 30

C(4) = 69

b) The answers in part A represents C(x). That is, the values of C at x = x₀

c) Is C(x) continuous at x = 2

C(2) = 39

$\lim_{x \to 2} C(x) = 39$

Since $\lim_{x \to 2} C(x) = C(2)$ , the function C(x) is continuous at x = 2

Learn more here: brainly.com/question/20710468

4 0

2 years ago

A landscaper buys a tree that grows at a rate of 18 inches every 3 months.

ipn [44]

1 it grows 18 inches every 3 months

there are 12 months in 1 year

12 dived by 3 = 4 so there are 4 times it will grow 18 inches

18 * 4 = 72 inches, amount it grows in 1 year

Answer is D

2. it grows 9 inches every 2 months

12/2 = 6 times a year it will grow

9 *6 = 54 inches total for 1 year

Answer is C

8 0

2 years ago

Find the measure of the exterior angle in the following triangle DUE SOON I’LL GIVE BRAINLIEST

anastassius [24]

Answer:

A. 125

Step-by-step explanation:

the sum of the remote angles is equal to the exterior angle

90+35=125

7 0

2 years ago

Read 2 more answers

A ball rolls over the edge of a platform with only a horizontal velocity. The height of the platform is 1.6 m and the horizontal

Sever21 [200]

Answer:

35 m/s

Step-by-step explanation:

Let gravitational acceleration g = 9.8m/s2. We can calculate the amount of time for the ball to fall vertically a distance of 1.6 m

$1.6 = 9.8t^2/2$

$t^2 = 2*1.6/9.8 = 0.327$

$t = \sqrt{0.327} = 0.571s$

This is also the time it takes for the ball to fly horizontally, assume constant horizontal speed, we can calculate the speed it takes to travel across 20m in 0.571s

v = 20 / 0.571 = 35 m/s

4 0

2 years ago