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
jasenka [17]
2 years ago
14

Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.

Mathematics
1 answer:
Ludmilka [50]2 years ago
5 0

Answer:

The line with the x- and y-intercepts below has the following equation:

f(x) = \frac{5x}{7} - 5

Step-by-step explanation:

The equation of the line has the following format:

f(x) = ax + b

We are given two points, we are going to substitute them into the above equation, and find the equation of the line given the conditions.

Solution

Starting from the y-intercept makes the solution easier, since the term a is multiplied by 0

y-intercept -5

This means that when x = 0, y = f(x) = -5, so:

f(x) = ax + b

-5 = a(0) + b

b = -5

For now, the line has the following equation:

f(x) = ax - 5

x-intercept 7

This means that when y = f(x) = 0,x = 7, so:

f(x) = ax - 5

0 = 7(a) - 5

7a = 5

a = \frac{5}{7}

So, the line with the x- and y-intercepts below has the following equation:

f(x) = \frac{5x}{7} - 5

You might be interested in
With full explanation from the internet like before<br> 3x2-6x+5=0
Elodia [21]

Answer:

\sf x=1+i\sqrt{\dfrac{2}{3}}   \ \quad and  \quad \:x=1-i\sqrt{\dfrac{2}{3}}

Explanation:

<u>Given Expression</u>:

  • 3x² - 6x + 5 = 0

Use the Quadratic Formula:

\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a}  \  \ when   \ \  ax^2 + bx + c = 0

<u>insert coefficients</u>

\Longrightarrow \sf x = \dfrac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:3\cdot \:5}}{2\cdot \:3}

\Longrightarrow \sf x = \dfrac{\left6\right\pm \sqrt{-24} }{6}

\Longrightarrow \sf x = \dfrac{\left6\right\pm 2\sqrt{6}i}{6}

\Longrightarrow \sf x =1 \pm   i\dfrac{\sqrt{6} }{3}

\Longrightarrow \sf x=1+i\sqrt{\dfrac{2}{3}},  \quad 1-i\sqrt{\dfrac{2}{3}}

6 0
2 years ago
Read 2 more answers
Harper deposited $110 into a savings account that earns 3.5% interest a year. The function (R)t models the amount of money Raymo
schepotkina [342]

Answer:

  A.  $2.26

Step-by-step explanation:

An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...

  H(t) = 110(1.035)^t

For t = 2, the two balances will be ...

  H(2) = 110(1.035^2) = 117.83

  R(2) = 110(1.025^2) = 115.57

The difference is ...

  $117.83 -115.57 = $2.26

Harper's account will have $2.26 more.

_____

As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.

7 0
3 years ago
If all the angles are equivalent (the same), the angles must each be 60 degrees because 60 times 3 angles equals 180.
arlik [135]

Answer: A

Step-by-step explanation: true true true

6 0
2 years ago
Solve this one pleeaasssee
Tamiku [17]

Answer:

the answer is c

Step-by-step explanation:

when looking at the graph you can see the intersection point which is (4,3) and at 4 months they were both 3 pounds. at the point of intersection they were the same age and same weight.

4 0
3 years ago
Name a pair of fractions that use the least common denominator and are equivalent to 9/10 and 5/6
snow_tiger [21]
54/60, 50/60 Hope this helps!
4 0
3 years ago
Other questions:
  • What value of s iWhat value of s is a solution to this equation?
    11·1 answer
  • A greeting card company can produce a box of cards for $7.50. If the initial investment by the company was $50,000, how many box
    10·1 answer
  • Factor the expression completely. (If the expression is not factorable using integers, enter PRIME.)
    6·2 answers
  • The debate team is showing a video of their recent debate. The first showing begins at 3:15 p.m. The second showing is scheduled
    15·1 answer
  • Ariel's garden is planted in the shape of a square and has an area of 81 square feet. If she plans to put a fence around the per
    12·2 answers
  • tom had a platter of chocolate wafers. he ate 5 of them and then gave his brother 3 he then moved on to his baseball team of 8 m
    14·1 answer
  • HELPP!!!!!!!!!!!!!!!!
    9·1 answer
  • Describe how to solve the inequality 3x+4&lt;13 using algebra tiles
    5·1 answer
  • 4. 15% of what number is 30?
    8·1 answer
  • Megan walks 1.3 miles to school and 1.3 miles home from school every day. How far does Megan walk after 5 days
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!