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
irinina [24]
3 years ago
10

Which graph represent the solution to the given systems y=-x +4 y=1/3x + 8

Mathematics
2 answers:
Furkat [3]3 years ago
8 0
Use substitution

-x + 4 = 1/3x + 8
4 = 4/3x + 8
-4 = 4/3x
x = -4 * 3/4
x = -3

Then plug x into one of the original equations. In this case y = -x + 4 is the easiest.

y = -(-3) + 4
y = 7
Semmy [17]3 years ago
4 0

The solution of the given systems y =  - x + 4{\text{ and }}y = \dfrac{1}{3}x + 8 is \boxed{\left( { - 3,7} \right)}. Option (a) is correct.

Further explanation:

Given:

The system of equations is y =  - x + 4{\text{ and }}y = \dfrac{1}{3}x + 8.

The options are as follows,

(a). \left( { - 3,7} \right)

(b). \left( {0,8} \right)

(c). \left( { 3,7} \right)

(d). \left( {0,4} \right)

Explanation:

The given system of equations is y =  - x + 4{\text{ and }}y = \dfrac{1}{3}x + 8.

Equate the two equations to obtain the solution of the system of equation.

\begin{aligned}- x + 4 &= \frac{1}{3}x + 8\\- x - \frac{1}{3}x & 8 - 4\\\frac{{ - 3x - x}}{3} &= 4\\- 4x &= 12\\x&= - 3\\\end{aligned}

The value of y can be obtained as follows,

\begin{aligned}y &= - \left( { - 3} \right) + 4\\&= 3 + 4\\&= 7\\\end{aligned}

The solution of the given systems y =  - x + 4{\text{ and }}y = \dfrac{1}{3}x + 8 is \boxed{\left( { - 3,7} \right)}. Option (a) is correct.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: system of equations, numbers,slope, slope intercept, equation, y-intercept, graph, representation, origin.

You might be interested in
4 cm
Degger [83]
What prism is it ? There isn’t an attachment
8 0
2 years ago
Read 2 more answers
2/4= 4-2 true or false
Degger [83]

Answer:

<h2>= Answer is false</h2>

Step-by-step explanation:

<h2>False is the ans</h2>
3 0
2 years ago
You deposit $3000 into a bank account that pays 1.25% annual interest, compounded semi-annually. What is the final balance after
mojhsa [17]

Answer:

$3,153.32

Step-by-step explanation:

Given that

The deposited amount is $3,000

The annual interest rate is 1.25%

So, the semi-annual interest rate is 1.25% ÷2  = 0.625%

And, the time period = 4 × 2 = 8

We need to find out the final balance

So,

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= $3,000 × (1 + 0.625%)^8

= $3,153.32

8 0
3 years ago
Solve for x<br><br> Need help with this last question
Serhud [2]

Answer:

x = 8

Step-by-step explanation:

2(78°) = 20x - 4

156 = 20x - 4

add 4 to each side of the equation:

160 = 20x

divide both sides by 20:

x = 8

6 0
2 years ago
Please explain the steps and how I can find the values!!
Xelga [282]

Answer:

a = 4.949

b = 4.949

c = 7

Step-by-step explanation:

c ( hypothenuse ) = 7

to find a, use sine

Sine = \frac{opposite}{hypothenuse\\}

Sine 45 = \frac{a}{7}

sine of 45 is 0.707

0.707 = \frac{a}{7}

multiplt 7 on both sides:

0.707 x 7 = \frac{a}{7} x 7

a = 4.949

to find b, use cosine

Cosine = \frac{adjacent}{hypothenuse}

Cos 45 = \frac{b}{7}

cos of 45 is 0.707

0.707 = \frac{b}{7}

multiply 7 on both sides:

0.707 x 7 = \frac{b}{7} x 7

b = 4.949

6 0
2 years ago
Other questions:
  • Sammy is conducting a science experiment where he has to mix 8.25 ounces of vinegar and 4.30 ounces of lemon juice.How many ounc
    15·2 answers
  • Round off 24.67 to one significant
    5·2 answers
  • How can i get answer 5 for -10 - (+5) ?​
    13·1 answer
  • draw a strip diagram to Model 5 hours 8 minutes minus 3 hours 12 minutes write an equation to find the difference
    15·1 answer
  • A number between 10.2 and 10.3 is
    9·2 answers
  • An arrow is launched upward with a velocity of
    8·1 answer
  • Write and solve a proportion to answer the question.
    5·1 answer
  • 5 days = ? hours <br> Can you please show work so i can understand better?
    14·2 answers
  • The top tree broke and fell over.the remaining tree teunk is 3 feet tall.the tip of the tree rests on the ground 14 feet from th
    13·1 answer
  • 9. Jenn went to the farmer's market with $40.00. She bought a 10 lb bag of potatoes for $6.00, a pie for $8.00, 4 qt fresh blueb
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!