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
OLEGan [10]
3 years ago
12

The tables represent two linear functions in a system,

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0

Answer:

<h2>(8, -22)</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

First table:

(-4, 26), (0, 10) → b = 10

m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4

\boxed{y=-4x+10}

Second table:

(-4, 14), (0, 2) → b = 2

m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3

\boxed{y=-3x+2}

We have the system of equations:

\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22

You might be interested in
If Sandy's cookie recipe calls for 1/3 cup of brown sugar and she increases it to 2/9, how much brown sugar does she use?
expeople1 [14]
If you divide 9/2 you receive 4.5. Tho when you divide 1/3 you get .33333 (repeated), so now you know that both the fractions do not correlate. Now the 'multiples' of 1/3 are 2/ 6, 3/9, 4/12, 5/15, 6/18, 7/21 and so on. If you do the 'multiples' of 2/9 you get 4/18, 6/27. The common factors are 4/18 and 6/18. So know you know that Sandy is using 2/18 (or 1/9) cups more of sugar.
6 0
3 years ago
Read 2 more answers
Simplify 3(x+2)-9x+5
Nimfa-mama [501]
It would be...
-6x+11
6 0
3 years ago
Read 2 more answers
Help me please i cant seem to get it
givi [52]

The diagnonals of a parallelogram bisect each other ,

so

=》 BD = 3x × 2

=》BD = 6x

and there's given that

=》

BD = \dfrac{3}{5} AC

=》

6x =  \dfrac{3}{5}  \times 40

=》

x =  \dfrac{24}{6}

=》

x = 4

so, if x = 4 , then the given quadrilateral is a parallelogram.

7 0
2 years ago
I NEED HELP ON THIS PLEASE!!
mr_godi [17]

Answer:

a and d

Step-by-step explanation:

5 0
3 years ago
Find the distance between the points (-8,-11) and (14,-11).​
coldgirl [10]

Answer:

Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Step-by-step explanation:

The answer is provided above.

Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Hope this helps.

6 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangular piece of plywood has a diagonal that measures three feet more than the width. The length of the plywood is three t
    9·1 answer
  • In 1892 a world record was set. France’s M. Garisoain walked on stilts for 4.97 miles from Bayonne to Biarritz,France, at an ave
    7·3 answers
  • If G is a 3 x 4 matrix and H is a 4 x 3 matrix, what is the dimension of GH?
    15·1 answer
  • Joel made some muffins. He gave 1\4 of the muffins to a neighbor.He took 3\8 of the muffins to school.What fraction of muffins i
    7·2 answers
  • What is the x-value of the solution to the system of equations shown below?
    6·1 answer
  • Use the identity
    5·1 answer
  • Last year there were k pies baked in the bake sale. This year, there were 187 pies baked. Using k, write an expression of the to
    13·1 answer
  • the value of a car is 28,000 bit it is depreciating 12% per year how much will the car be worth in 8 years
    13·1 answer
  • I need the answer HELP pls
    5·1 answer
  • Write a function for the following table
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!