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antiseptic1488 [7]
2 years ago
14

Solve the following system of equations: y=x+4 2x+y=13

Mathematics
2 answers:
const2013 [10]2 years ago
4 0
Substitute y from the first equation into the second:

2x+(x+4)=13
3x+4=13
3x=9
x=3.
Mazyrski [523]2 years ago
3 0
Okay, for this one is will use substitution:
y=x+4
y-x=4
2y-2x=8

-2x+2y=8
+
2x+y=13
=
3y=21
y=7
x=3 is your final answer. Hope it help!
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Which answer describes the type of sequence? 3,4,5,6,...
In-s [12.5K]

Answer:

Arithmetic Sequence

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference

we have

3,4,5,6,...

Let

a_1=3\\a_2=4\\a_3=5\\a_4=6

a_2-a_1=4-3=1

a_3-a_2=5-4=1

a_4-a_3=6-5=1

so

the difference between one term and the next is a constant

The common difference is equal to 1

This is an Arithmetic Sequence

6 0
2 years ago
Will give brainliest if correct
GenaCL600 [577]

Answer: put the parallelograms in the box that says 2 pairs of parallel sides next put the squares in the box that says 4 right angles the put rectangles in the box that says 4 congruent sides and last put rhombuses in the middle box that says 4 right angles and 4 congruent sides

Step-by-step explanation:

5 0
2 years ago
A business buys a computer for $3,000. After 4 years the value of the computer is expected to be $250. The value, v, can be rela
yuradex [85]

You are given two points in the linear function. At time 0 years, the value is $3000. At time 4 years, the value is $250. This means you have points (0, 3000) and (4, 250). You need to find the equation of the line that passes through those two points.

y = mx + b

m = (y2 - y1)/(x2 - x1) = (3000 - 250)/(0 - 4) = 2750/(-4) = -687.5

Use point (0, 3000).

3000 = -687.5(0) + b

b = 3000

The equation is

y = -687.5x + 3000

Since we are using points (t, v) instead of (x, y), we have:

v = -687.5t + 3000

Answer: d. v = -687.50 t + 3,000

6 0
2 years ago
Which pair of numbers is relatively prime? A. 42 and 77 B. 34 and 55 C. 45 and 102 D. 99 and 123
leonid [27]

Two pair of numbers are said to be relatively prime if there is no integer greater than 1, that divides them both.

Consider the given pair of the numbers to identify which pair is relatively prime.

1. Consider 42 and 77

7 is the number which divides 42 and 77 both. Therefore, they are not relatively prime.

2. Consider 34 and 55

Since, there is no number greater than 1, which divides both the numbers. So, they are relatively prime numbers.

3. Consider 45 and 102

3 is the number divides 45 and 102 both. Therefore, they are not relatively prime.

4.  Consider 99 and 123

3 is the number divides 99 and 123 both. Therefore, they are not relatively prime.

Therefore, Option B is the correct answer.

8 0
3 years ago
Rick bought 3 shirts for $18 each, 2 pairs of socks for $3.99 a pair, and a pair of pants for $45.00. The sales tax
Andrews [41]

Answer:

Step-by-step explanation:

(3(18)+2(3.99)+45)(1.08)=(106.98)(1.08)=$115.54 (rounded to nearest cent)

7 0
2 years ago
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