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
juin [17]
3 years ago
6

What is the solution to the system of equations below?

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

A. (–8, 2)

Step-by-step explanation:

(1)       y =  ½x + 6  

(2)       y = -¾x –  4     Set (1) = (2)  

½x +   6 = -¾x –  4     Multiply each side by 4

2x  + 24 = -3x – 16     Add 16 to each side

2x  + 40 = -3x              Subtract 2x from each side  

        40 = -5x              Divide each side by -5

(3)       x = -8                 Substitute (2) into (1)

          y = ½(-8)  +6

             = -4 + 6

             =  2

The solution to the system of equations is (-8 ,2).

You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).

Check:

2 = ½(-8) + 6     2 = -¾(-8) - 4

2 = -4 +6           2 = 6 - 4

2 = 2                 2 = 2

You might be interested in
3x+6=15<br><br> solve for x<br><br> x= ?
mylen [45]

Answer: x=3

Step-by-step explanation: Subtract 6 from both sides, Simplify  

15−6 to 9, and then divide both sides by three.

3x=15−6

3x=9

x=​9/3

x=3

​

Hope this helps, have a BLESSED day! ☺️

5 0
2 years ago
Read 2 more answers
Can anyone tell me why I can't watch the ads on here to view answers anymore?
GenaCL600 [577]

Answer:

probably an update which sucks tell me about it lol

7 0
3 years ago
Read 2 more answers
Kiera has $20 in a savings account. The interest rate is 5%
Anuta_ua [19.1K]

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 20 × 0.05 × 2 = 2

I = $ 2.00

The simple interest accumulated

on a principal of $ 20.00

at a rate of 5% per year

for 2 years is $ 2.00.

8 0
3 years ago
A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 48 specimens and counts the number of
baherus [9]

Answer: The open interval would be (31.4,42.5).

Step-by-step explanation:

Since we have given that

mean = 36.9

Standard deviation = 16.5

n = 48

At 98% confidence interval, z = 2.33

So, Interval would be

\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=36.9\pm 2.33\dfrac{16.5}{\sqrt{48}}\\\\=36.9\pm 5.549\\\\=(36.9-5.5,36.9+5.6\\\\=(31.4,42.5)

Hence, the open interval would be (31.4,42.5).

5 0
3 years ago
12 divided by 18/25 is?!?!
alexgriva [62]

Answer:

16.6

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • A spherical balloon is inflated so that its volume is increasing at the rate of 3.1 {\rm ft}^3{\rm /min}. how rapidly is the dia
    9·1 answer
  • 2m + 3y - 7m + 3y - 2y - m - m​
    15·1 answer
  • Please help me! I don't understand this question at all
    13·1 answer
  • Explain how you know that the sum of 12.6,3.1, and 5.4 is greater than 20
    5·1 answer
  • A group of student are involved in a after school club are playing games
    7·2 answers
  • Is 6, 126, 120 divisible by 2?
    10·2 answers
  • A polynomial function can be written as (x 1)(x 4)(x − 7). what are the x-intercepts of the graph of this function? (1, 0), (4,
    7·2 answers
  • Which quadratic equation has roots 7 and -2/3
    11·1 answer
  • Moral law is also called Law of Nature because early philosophers thought that generally speaking, everybody knows it by nature.
    13·1 answer
  • Nabil is writing a science fiction novel that takes place in another galaxy. In her galaxy, all the planets travel in an ellipti
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!