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kodGreya [7K]
3 years ago
15

The system of equations 2y = 14 - 2x and y=-x+ 7 is

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

  • Infinitely many solutions

Step-by-step explanation:

<u>Given system:</u>

  • 2y = 14 - 2x
  • y = -x + 7

<u>Divide the first equation by 2 and rearrange:</u>

  • 2y/2 = 14/2 - 2x/2
  • y = 7 - x
  • y = -x + 7

We got the same equation with the second one. It means we have two of the same lines overlapping.

This gives us infinitely many solutions.

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If you spend $50,000 on new furniture and it is depreciating about 20% per year, how much will it be worth by its third year?
Julli [10]

Answer:

$25,600

Step-by-step explanation:

  • Given: P = $50,000, r = 20% & t = 3 years

  • Formula for depreciation is given as:

  • A(t) = P\bigg(1-\frac{r}{100}\bigg)^t

  • Plugging the values of P, r and t in the above formula, we find:

  • A(3) = 50,000\bigg(1-\frac{20}{100}\bigg)^3

  • \implies A(3) = 50,000\bigg(1-\frac{1}{5}\bigg)^3

  • \implies A(3) = 50,000\bigg(\frac{4}{5}\bigg)^3

  • \implies A(3) = 50,000\times\frac{64}{125}

  • \implies A(3) =\$ 25,600

  • So, after third year it will be worth by $25,600.
8 0
2 years ago
Regular quadrilateral prism has an altitude h = 11 cm and base edges b=8 cm. Find the sum of all edges.
natka813 [3]
The first thing we will do is assume that the prism is square based.
 We have then that the edges of the base are:
 P = 4L
 P = 4 (8)
 P = 32 cm
 The edges of the top of the prism are:
 P = 4L
 P = 4 (8)
 P = 32 cm
 The edges of the prism height are:
 P = 4h
 P = 4 (11)
 P = 44 cm
 The total sum will be:
 Pt = 32 + 32 + 44
 Pt = 108 cm
 Answer:
 
the sum of all edges is:
 
Pt = 108 cm
8 0
3 years ago
Read 2 more answers
PLEASE HELP MEEEE!!!!!
Viefleur [7K]

Answer:

quandrant three is where both intervals will be negative since both x and y are negative. the exact interval is (-6, -6)

Step-by-step explanation:

can i get brainliest

5 0
2 years ago
One angle of a right triangle measures 65°. What is the measure of the other acute angle?
kvasek [131]

answer:

25°

explanation:

triangle total: 180°

right angle: 90°

90 + 65 = 155

180 - 155 = 25

hope this helped!

6 0
3 years ago
I don’t know how to solve this
g100num [7]
The two equations graphs intersect and the points where they are touching are belonging to both graphs therefore solutions for both equations.

(2) points (x,y) are
(-1,0) (-1)^2. +0^2=1; 1=1 ✔️
0=-1+1; 0=0✔️
(0, 1). (0)^2. +1^2=1; 1=1 ✔️
1=0+1; 1=1 ✔️
6 0
3 years ago
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