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aleksandrvk [35]
2 years ago
11

2x-3y=-1, 2x+y=11solve the system equation

Mathematics
1 answer:
agasfer [191]2 years ago
4 0

Answer:

x = 4, y = 3

Step-by-step explanation:

   2x - 3y = -1

-   <u>2x + y =  11</u>

         -4y = -12

            y = 3

solve for 'x':

2x -3(3) = -1

2x - 9 = -1

2x = 8

x = 4

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If f(x) = StartFraction x Over 2 EndFraction + 8, what is f(x) when x = 10?
san4es73 [151]

Answer:

13

Step-by-step explanation:

You are given the function

f(x)=\dfrac{x}{2}+8

To find the value of the function f(x) at point x=a, you have to substitute a instead of x into the function expression.

In your case, you have to evaluate f(x) when x=10. Substitute 10 instead of x into the function expression:

f(10)=\dfrac{10}{2}+8=5+8=13

6 0
3 years ago
Read 2 more answers
Given it's midpoint and one endpoint apply the midpoint formula and solve for x and y midpoint (22,15) endpoint (18,6
Nutka1998 [239]
Midpoint formula

mid of (x1,y1) and (x2,y2) is
( \frac{x2+x1}{2}, \frac{y2+y1}{2})

so

(22,15)=( \frac{18+x1}{2}, \frac{6+y1}{2})
therefor

22=\frac{18+x1}{2}
and
15=\frac{6+y1}{2}

slv each
22=\frac{18+x1}{2}
times both sides by 2
44=18+x1
minus 18 both sides
26=x1

15=\frac{6+y1}{2}
times both sides by 2
30=6+y1
minus 6
24=y1

the other point is (26,24)

4 0
3 years ago
What is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...
SOVA2 [1]

Answer:

The common ratio of the geometric sequence is:

r=-2

Step-by-step explanation:

A geometric sequence has a constant ratio 'r' and is defined by

a_n=a_1\cdot r^{n-1}

where

  • aₙ is the nth term
  • a₁ is the first term
  • r is the common ratio

Given the sequence

-2,\:4,-8,\:16,\:-32,\:...

Compute the ratios of all the adjacent terms:  r=\frac{a_n+1}{a_n}

\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2

The ratio of all the adjacent terms is the same and equal to

r=-2

Therefore, the common ratio of the geometric sequence is:

  • r=-2
5 0
2 years ago
azul is planting a vegetable garden. he is using a bag of marbles to determine how many of each veggie to plant. his bag contain
kaheart [24]
1. Total number of marbles=10 red marbles+80 green marbles+110 orange marbles=200 marbles
2. Let's call "V" the event that consists that he selects a green marble from the bag. Then:
 P(x)=80/200
 P(x)=0.4

 3. This problem can be represented by a binomial distribution, where:

 P=0.4
 q=1-P=0.6
 n=50

 4. The expect value in a binomial function is written as below:

 E(x)=nxP
 E(x)=50x0.4
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 The answer is: He can expect 20 zucchini.
3 0
3 years ago
Read 2 more answers
The perimeter of a kite can be found using the formula P = 2S + 2L. Which equation expresses S in terms of P and L?
zimovet [89]

Answer:

<h2>The answer is A</h2><h2>A. S = 1/2p - L</h2>

Step-by-step explanation:

Step one:

given the perimeter function

P = 2S + 2L

we are expected in this problem to change the subject of the formula to S

Step two:

firstly, let us isolate the term that has S

2S=P-2L

divide both sides by 2

2S/2= (P-2L)/2

S=P/2-L

S = 1/2p - L

5 0
2 years ago
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