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kherson [118]
3 years ago
9

A sign on the road says " Speed limit, 60 miles per hour. Let s be the speed of car.Write an inequality that matches the informa

tion on the sign
Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Answer: s ≤ 60

Step-by-step explanation:

The common inequality signs include:

> which is greater than

< which is less than

= which is equal to

≥ which is greater than or equal to

≤ which is less than or equal to

Since the speed limit is 60 miles per hour, it simply means that the speed limit is less than or equal to 60 miles per hour. This will be:

s ≤ 60

The above means the speed is less than or equal to 60 miles per hour

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Dilate line f by a scale factor of 2 with the center of dilation at the origin to create line f. Where are points A' and B' loca
V125BC [204]

Answer:

Option A

Step-by-step explanation:

We are given that

Scale factor=2

Center of dilation=(0,0)

Point A(0,2) and point B (2,0).

Slope of line f=\frac{y_2-y_1}{x_2-x_1}

Substitute the values

Slope of line f=\frac{0-2}{2-0}=-1

Distance between  A and Origin (0,0) is given by

OA=\sqrt{(0-0)^2+(0-2)^2}=2 units

Using distance formula

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

OB=\sqrt{(0-2)^2+(0-0)^2}=2 units

Length of OA'=2OA=2(2)=4 units

Length of OB'=2(OB)=2(2)=4 units

x-intercept of line f' at x=4

y-intercept of line f' at y=4

Therefore, the points A' and B' are given by

(0,4) and (4,0)

Slope of line f'=\frac{0-4}{4-0}=-1

Slope of line f and f' are equal.Therefore, lines f and f' are parallel.

Option A is true.

4 0
3 years ago
A physical therapist is scheduling appointment for the day. She has six workers comp cases six Medicare patients awaiting care.
Molodets [167]

Answer:

Pr(3worker's comp cases and 4 Medicare patients) = 0.37879

Step-by-step explanation:

Number of worker’s comp cases = 6

Number of Medicare patients = 6

Total  number of people = 6 + 6 = 12

Total number of ways of selecting 7 people from 12 people = 12C7

Total number of ways of selecting 7 people from 12 people = \frac{12!}{(12-7)!7!}

Total number of ways of selecting 7 people from 12 people = 792 ways

Number of ways of selecting 3 worker's comp cases = 6C3

Number of ways of selecting 3 worker's comp cases =  \frac{6!}{(6-3)!3!}

Number of ways of selecting 3 worker's comp cases = 20 ways

Number of ways of selecting 4 Medicare patients= 6C4

Number of ways of selecting 4 Medicare patients =  \frac{6!}{(6-4)!4!}

Number of ways of selecting 4 Medicare patients = 15 ways

Pr(3worker's comp cases and 4 Medicare patients) = (15*20)/792

Pr(3worker's comp cases and 4 Medicare patients) = 300/792

Pr(3worker's comp cases and 4 Medicare patients) = 0.37879

4 0
3 years ago
A halogen-lighting manufacturer packs 64 halogen lamps ink a cube-shaped container. the manufacturer has been asked by his distr
pishuonlain [190]
64 divided by 8 = 8

So you're answer would be 8
4 0
3 years ago
rylee buys some apples at the store. She gives 5 apples to her neighbor and eats half of what she has left as snacks for the wee
bulgar [2K]

Answer:

16

Step-by-step explanation:

basic addition

4 0
2 years ago
What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f? g(x)=x√−6, x≥0 g(x)=x−6−−−−√, x≥6 g(x
avanturin [10]

Answer:

g(x)=\sqrt{x}-6, x>=0

Step-by-step explanation:

f(x)=(x+6)^2

To find the inverse function , replace f(x) by y

y=(x+6)^2

Replace x with y and y with x

x=(y+6)^2

Solve the equation for y

take square root on both sides

+\sqrt{x} =y+6

Now subtract 6 from both sides

+\sqrt{x}-6=y

replace y with g(x)

g(x)=\sqrt{x}-6

8 0
3 years ago
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