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
notsponge [240]
3 years ago
6

A pair of equations is shown below:

Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0
So, both equations are essentially linear equations.
Linear equations are written in the format y = mx+b, where m represents the slope/slope intercept and b represents the y-intercept.
---------------------------------------------------------------------------------------------------------------
Part A
the slope and y-intercept

y = mx +b
m - the slope; b- y-intercept

therefore;

y = 6x - 4
m = 6; b = -4

y = 5x - 3
m = 5; b = -3

The coordinates of the point where the lines are crossed are the solution to the system of linear equations.

How to graph the lines:
y = 6x - 4
y-intercept (0; -4)
for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)

y = 5x - 3
y-intercept (0; -3)
for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)

***look at the img for graph reference***

Part B: x = 1; y = 2

You might be interested in
Given that the series kcoskt kº +2 k=1 converges, suppose that the 3rd partial sum of the series is used to estimate the sum of
3241004551 [841]

Answer:

c

Step-by-step explanation:

Given that:

\sum \limits ^{\infty}_{k=1} \dfrac{kcos (k\pi)}{k^3+2}

since cos (kπ) = -1^k

Then, the  series can be expressed as:

\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^kk)}{k^3+2}

In the sum of an alternating series, the best bound on the remainder for the approximation is related to its (n+1)^{th term.

∴

\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(3+1)}(3+1))}{(3+1)^3+2}

\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(4)}(4))}{(4)^3+2}

= \dfrac{4}{64+2}

=\dfrac{2}{33}

5 0
2 years ago
What’s half of 2 1/2 as a fraction?
aliina [53]

Answer:

5/4

Step-by-step explanation:

2 1/2=5/2

(5/2)(1/2)=5/4

8 0
3 years ago
Can someone please explain how to figure this out!!
kakasveta [241]
2.9% OF the 500 phones are more than likely defective. In order to figure this out you must do 500*0.029 which would equal 14.5 and rounds off to 15. 15 out of the 500 phones will maybe be defective.
6 0
3 years ago
What is the solution to the equation 3(y-2)=2y-8 A.-2/5 B.-14 C. -2 D. -2 4/5 I NEED-HELP PLeAse
AlladinOne [14]

3(y - 2) = 2y - 8

3y - 6 = 2y - 8

3y - 2y = -8 + 6

y = -2

Answer: C

4 0
2 years ago
I need to transpose the following equation to find the term (g)<br><br> V^2=2gh
nataly862011 [7]
v^2=2gh\\\\2gh=v^2\ \ \ \ |divide\ both\ sides\ by\ 2h\\\\\boxed{g=\frac{v^2}{2h}}
7 0
3 years ago
Read 2 more answers
Other questions:
  • I need help with these two problems. Need an explanation, steps, and an answer.
    6·1 answer
  • A triangle has vertices located at the coordinates (17,-3), (-7,11) and (17,11). What is the area of the triangle?
    10·1 answer
  • When Teddy filled up the tank on his moped, it cost $5.03. How much gas did his
    9·2 answers
  • Evaluate the function. h(n)=n with the power of 3 -4 find h(-2)
    10·1 answer
  • Can someone do the work for me ?
    15·1 answer
  • Please help explanation if possible
    12·2 answers
  • PLEASE ANSWER! BRAINLIEST INCLUDED! 35 POINTS! <br> LINK BELOW!
    7·1 answer
  • A set of data has the trend line modeled by the equation Y =1.5x + 11. What value of X corresponds to y =56?
    14·2 answers
  • You might need: What is the next term of the geometric sequence? -1/7, 4/7, -16/7<br>​
    15·2 answers
  • Equation A
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!