1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mojhsa [17]
3 years ago
11

A line has an y-intercept of 4 and a x-intercept of 1. Use this information to write a function in slope intercept form (y = mx

+ b) for the line running through these points.

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0

Answer:  D.  y = -4x + 4

Step-by-step explanation:

Notice that the y-intercept is when x is zero and the x intercept is when y is 0.

and to write in the equation in slope intercept form , you will need the slope and the intercept.

We will use the y and x intercepts to find the slope, by find the difference in their y coordinates and dividing it by the difference in their x coordinates.

y intercept: ( 0,4)  

x intercept: (1,0)

y coordinates difference:  4 - 0 = 4

x coordinates difference:  0 - 1 = - 1  

Slope:  4/-1 =  -4  

Since the slope is -4 and the the y intercept is 4 , the equation will be

 y = -4x + 4

You might be interested in
Write the square roots of 49 i in ascending order of the angle.
Troyanec [42]

Answer:

The square roots of 49·i in ascending order are;

1) -7·(cos(45°) + i·sin(45°))

2) 7·(cos(45°) + i·sin(45°))

Step-by-step explanation:

The square root of complex numbers 49·i is found as follows;

x + y·i = r·(cosθ + i·sinθ)

Where;

r = √(x² + y²)

θ = arctan(y/x)

Therefore;

49·i = 0 + 49·i

Therefore, we have;

r = √(0² + 49²) = 49

θ = arctan(49/0) → 90°

Therefore, we have;

49·i = 49·(cos(90°) + i·sin(90°)

By De Moivre's formula, we have;

r \cdot (cos(\theta) + i \cdot sin(\theta) )^{\dfrac{1}{2}}  =  \pm \sqrt{r} \cdot \left (cos\left (\dfrac{\theta}{2} \right ) + i \cdot sin\left (\dfrac{\theta}{2} \right ) \right )

Therefore;

√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))

∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))

√(49·i) = ± 7·(cos(45°) + i·sin(45°))

The square roots of 49·i in ascending order are;

√(49·i) = - 7·(cos(45°) + i·sin(45°))  and  7·(cos(45°) + i·sin(45°))

8 0
2 years ago
Hasan has 18 3/4 yards if fabric. It takes 3 1/6 yards to make a pillowcase. Hasan plans to make as many as pillowcases as he ca
scZoUnD [109]

Answer:

he can make 5 pillow cases before runninng out of fabric

Step-by-step explanation:


8 0
2 years ago
chris can be paid in one of two ways. plan a is a salary of $370 per month, plus a commission of 8% of sales. plan b is a salary
JulijaS [17]

Answer:

For a sale value greater than $7200 the plan a is profitable.

Step-by-step explanation:

Let us assume for a sale of $x, Chris will choose plan a.

Now, in plan a, a commission of 8% of sales and $370 per month, is the salary.

So, for a sale of $x the salary is $(370 + 0.08x) per month.

And, in plan b, a commission of 3% of sales and $730 per month, is the salary.

So, for a sale of $x the salary is $(730 + 0.03x) per month.

Now, for selecting plan a, the condition is  

(370 + 0.08x) > (730 + 0.03x)

⇒ 0.05x > 360

⇒ x > 7200

Therefore, for a sale value greater than $7200 the plan a is profitable. (Answer)

5 0
2 years ago
$3,300 principal earnings 4% compounded annually after 3 years
Hoochie [10]

Answer: 396

Step-by-step explanation:

It is 396 because you change the percentage to a decimal and then multiply it by the big number and one you have done that you multiply it again by 3.

7 0
3 years ago
How to work it out<br> And who drove farther and how many miles farther
OlgaM077 [116]
Easy, just divide
kelly=440mi/8hr=220mi/4hr=110mi/2hr=55mi/1hr
alberto=468mi/9hr=156mi/3hr=52mi/1hr

55>52

kelly drove 55mi in 1 hour
55-52=3
she drove 3 miles more  in 1 hour
5 0
3 years ago
Other questions:
  • If f(x)=4^x-8 and g(x)=5x+6 find (f+g)(x)???
    11·1 answer
  • A restaurant automatically charges a 20% gratuity if a party has 6 or more people. How much gratuity is added to a party of 6 on
    14·1 answer
  • I NEED THIS TO PASS CAN SOMEONE HELP ME!!!
    11·1 answer
  • 11. The total number of months m that it takes to produce p tennis rackets
    7·1 answer
  • there were 22,869 children, 49,563, and 2,872 more women than men at the fair. how many people were at the fair?
    5·2 answers
  • If x=-1 what is f(x)=
    8·1 answer
  • 45 miles per hour is how many feet per second?
    9·1 answer
  • Pam flips a coin 12 times. The coin lands on heads 8 times. What is the theoretical
    7·1 answer
  • Mary drove 715 miles in 13 hours, At the same rate, how many miles would she drive in 9 hours?​
    12·2 answers
  • Sam opened a savings account by depositing $2,500. He will receive 5% compound interest and he leaves the money in the savings a
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!