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svet-max [94.6K]
3 years ago
7

What is the x-intercept of the line with the equation 1/2x + y= -15 ? Please help

Mathematics
1 answer:
Alenkinab [10]3 years ago
6 0
First you would try to get the y variable by itself which you can do by subtracing 1/2x on both side. The equation would be y=-1/2x-15. You would then plug this into your graphing calculator and get the answer. If you do not have one, the x-intercept would be (0,-15) and the y-intercept would be (-30,0)
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Is 7766 a even number ?
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Answer: Yes.

Step-by-step explanation: If a number ends in 0, 2, 4, 6, or 8, the number even number.

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Step-by-step explanation:

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3 0
3 years ago
A farmer fills his field proportionately with soybeans and corn. Last year he planted 200 acres of corn and 50 acres of soybeans
malfutka [58]

Answer:

Part A)  Is a directly proportional

Part B) The constant of proportionality is k=0.25

Part C) The equation is y=0.25x

Part D) 62.5  acres of soybeans

Step-by-step explanation:

Part A) Are the number of acres of corn and the number of acres of soybeans directly proportional or inversely proportional?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k

Let

x-----> the number of acres of corn

y---->  the number of acres of soybeans

so

y/x=k  

if the number of acres of corn increases then the number of acres of soybeans increases

if the number of acres of corn decreases then the number of acres of soybeans decreases

therefore

The relationship is a directly proportional

Part B) What is the constant of proportionality?

we have that

For x=200, y=50

substitute

y/x=k

k=50/200

k=0.25

Part C) Let x equal the number of acres of corn and y equal the number of acres of soybeans. Write an equation to show this relationship.

The linear equation that represent the direct variation is equal to

y/x=k

we have

k=0.25

substitute

y/x=0.25

y=0.25x

Part D) How many acres of soybeans can the farmer plant this year if he plants 250 acres of corn?

For x=250

Find the value of y

substitute in the linear equation the value of x and solve for y

y=0.25(250)=62.5 -----> acres of soybeans

7 0
3 years ago
A car travels at a constant speed.
ad-work [718]

Answer:

see below

Step-by-step explanation:

<h3>Given</h3>
  • Distance is 142.2 m, correct to 1 decimal place
  • Time is 7 seconds,  correct to nearest second
<h3>To find:</h3>
  • Upper bound for the speed
<h3>Solution </h3>

<em>Upper bound for the speed  = upper bound for distance/lower bound for time</em>

  • Upper bound for distance = 142.25 m  (added 0.1/5 = 0.05)
  • Lower bound for time = 6.5 seconds  (subtracted 1/2 = 0.5)

<u>Then, the speed is:</u>

  • 142.25/6.5 = 21.88 m/s
  • 21.88 = 21.9 m/s correct to 1 decimal place
  • 21.88 = 22 m/s correct to nearest m/s

4 0
3 years ago
There are 812,000 gallons of water in an Olympic training center’s pool. Express this number in scientific notation
DerKrebs [107]
8.12 ×10^5 is the answer
7 0
3 years ago
Read 2 more answers
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