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3 years ago

HELP PLEASEE!!!

Mathematics

1 answer:

Sonja [21]3 years ago

6 0

Answer:

A. y = x² – 2x – 3

Step-by-step explanation:

The given points are zero's or roots of the function.

<u>We can put the equation as:</u>

y = (x + 1)(x - 3) = x² -3x + x - 3 = x² - 2x - 3

This is option A

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. This relation is an inverse variation.

IrinaK [193]

Answer:

The equation that represents the relation is;

d. y = -16/x

Step-by-step explanation:

The

An inverse variation of an ordered pairs is the set of ordered pairs that is given by the relationship that as one variable in an ordered pair increases, the other decreases and vice versa

Mathematically, an inverse relation can be expressed as follows;

y ∝ 1/x

From which we have;

y = k/x, where, "k", represents the constant of proportionality

Therefore, we have;

k = y × x

The given ordered pair are;

{(-1, 16), (2, -8), (4, -4)}

Therefore, k = y × x = 16 × (-1) = -8 × 2 = -4 × 4 = -16

The given function is y = k/x = -16/x

Therefore, y = -16/x.

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3 years ago

Drive to work in 45 min., bus to work takes 1 hr 15 min. If the average rate on the bus is 16 mph slower than his driving rate,

stich3 [128]

Answer:

30 miles

Step-by-step explanation:

Given: Drive to work in 45 min.

Bus would take to travel= 1 hr 15 min

Average rate on the bus is 16 mph slower than his driving rate.

Lets assume the average driving rate be "x" mph.

∴ Average rate of bus= $(x-16)\ mph$

Now converting unit of time taken to travel to work.

Remember; 1 hours= 60 minutes.

Time taken for drive to work= $\frac{45\ minutes}{60\ minutes} = 0.75\ hour$

Time taken in bus to work= 1 hour and 15 minutes= $60\ minutes+ 15\ minutes= 75\ minutes$

∴ Time taken in bus to work in hours= $\frac{75\ minutes}{60\ minutes}= 1.25\ hours$

Considering the distance remain constant to travel for work.

Next, forming an equation to find the value of x.

As we know, $distance= speed\times time$

⇒ $x\times 0.75= (x-16)\times 1.25$

Using distributive property of multiplication.

⇒ $0.75x= 1.25x-20$

Adding both side by 20

⇒ $0.75x+20= 1.25x$

Subtracting both side by 0.75x

⇒ $20= 0.5x$

Dividing both side by 0.5

⇒ $x= \frac{20}{0.5}$

∴ $x= 40\ mph$

Hence the average rate for drive to work is 40mph.

Now, subtitiuting the value of x to find the distance travelled to work.

Distance travelled= $40\times 0.75= 30\ miles$

Hence, distance travelled to work is 30 miles.

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4 years ago

Alek gives 18 flowers to each person at his office, There are 42 people at his office. How many flowers does alek give away?

Dafna1 [17]

Answer:

he gives away 756 flowers

Step-by-step explanation:

18*42=756

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3 years ago

Find the value of √1600×8²+√4225

Nastasia [14]

Step-by-step explanation:

√1600×8²+√4225

40 x 64 + 65

= 2625

7 0

2 years ago

Read 2 more answers

PLEASE HELP

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

1). The x-intercept (15,0) represents the time when container will be empty. In 15 minutes the container will have 0 gallons of water.

2). The y-intercept (0,120) represents initial amount of the water in container. The container had 120 gallons before a drain was opened.

3). The slope, m = 8, represents how fast container is loosing the water. Each minute there are 8 gallons of water less in container.

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3 years ago