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3 years ago

The linear function f i with values f(-1) = 10 and f(5) = -1 is f(x)

Mathematics

1 answer:

zhenek [66]3 years ago

3 0

Answer:

Use the two points to compute the slope, m, then use one of the points in the form y=m(x)+b to find the value of b.

Explanation:

The equation for the slope, m, of a line is:

m=y1−y0x1−x0 [1]

The equation f(2)=−1 tells us that x0=2andy0=−1; substitute this into equation [1]:

m=y1−−1x1−2 [2]

The equation f(5)=4 tells us that x1=5andy1=4; substitute this into equation [2]:

m=4−−15−2 [3]

m=53

Substitute 53 for m into the equation y=m(x)+b

y=53x+b [4]

Substitute 2 for x and -1 for y and the solve for b:

−1=53(2)+b

b=−133

Substitute −133 for b in equation [4]:

y=53x−133 [5]

Check:

−1=53(2)−133
4=53(5)−133

−1=−1
4=4

Hope this helps

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According to data on the website for the Centers for Disease Control and Prevention (CDC), 35% of American adults were obese in

Serggg [28]

Answer: 2.2464 × 10^8

Step-by-step explanation:

Percentage of obese Americans in 2011 - 2012 = 35%

Percentage of Americans who are adult = 72%

United States population estimate = 312 million

Adult = age 20 and above

Number of adult Americans (age 20 and above) :

72% of the total united states estimated population

72% of 312,000,000

72/100 × 312,000,000

0.72 × 312,000,000

= 224,640,000

Hence, estimated Adult American population (age 20 and above) = 224,640,000

2.2464 × 10^8

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3 years ago

An art teacher had 57 grams of blue clay. She combined it with 31 grams of yellow clay to make green clay. She let students use

tangare [24]

Step-by-step explanation:

Amount of green clay at the start = 57g + 31g = 88g.

Amouny of green clay used = 88g - 18g = 70g.

Hence 70g of green clay was used during the week.

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3 years ago

tres carpinteros juan alberto y luis se encargaron de hacer 6 mesas iguales por lo que recibieron $600 pesos juan hizo una mesa

cluponka [151]

Answer:

primero divides 600 entre 6 te da 100

entonces cada mesa vale 100 pesos así que

100x1:100 así que a juan le tocan 100 pesos

100x2:200 así que Alberto le tocan 200 pesos

100x3:300 así que a Luis le tocan 300 pesos

<h3>Me das coronita plis</h3>

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3 years ago

An arrow is launched upward with a velocity of

anyanavicka [17]

Answer:

Step-by-step explanation:

The velocity of the arrow when it was launched upwards is 320 feet per second. The height of the platform from which it was launched is 50 ft

This means that the arrow is already 50 feets from the ground before moving upwards.

The height that it attains on moving from 50 feets will be determined by Newton's formula of motion.

v^2 = u^2 + 2as

u = initial velocity = 320 feet per second.

1 feet per second = 0.305 meters per second

320 feet per second = 320× 0.305

= 97.6 feets per second

a = acceleration due to gravity =

- 32.17405 feet/second^2 because the arrow is moving upwards)

s =maximum height of the arrow

v = final velocity = 0 feet/second

Substituting into the equation,

0^2 = 97.6^2 + 2×- 32.17405 × s

0 = 9525.76 - 64.3481s

64.3481s = 9525.76

s = 9525.76/64.3481 = 148.03 feets

Total height from the ground would be

148.03 + 50 = 198.03 feets

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3 years ago

What is the sum of -6 and 9

katrin2010 [14]

Positive 3, If You're starting at -6 and you add the first 6 it's at 0, now you have 3 more to add to make 9. And that gives you positive 3. or if you do 9 - 6 you can get your answer that way too.

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3 years ago