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3 years ago

Solve this system of equations algebraically using substitution y= x + 4 and x + y=2

Mathematics

1 answer:

barxatty [35]3 years ago

6 0

Answer:

x = -1, y = 3

Step-by-step explanation:

To solve this system of equations, you have to plug in the value of y from the first equation into the second equation:

x + (x + 4) = y

2x + 4 = 2

2x = -2

x = -1

Then, plug x = -1 into one of the equations:

y = (-1) + 4

y = 3

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Which solution set is graphed on the number line? A number line going from negative 4 to positive 4. An open circle is at 1. Eve

lidiya [134]

Answer:

an open circle means it contains no equal signs.....everything to the left is shaded....means it is less then

x < 1 (thats a less then sign only) ....no equal sign in there

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2 years ago

Read 2 more answers

Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le

Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes =68

$Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}$

$68= \frac{\text{Sum of all lengths}}{7}$

$68 \times 7 =\text{a+b+c+d+e+f+g}$

$476=\text{a+b+c+d+e+f+g}$ --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

$476=x+x+x+84+84+84+4x+14$

$476=7x+266$

$\frac{476-266}{7}=x$

$30=x$

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0

3 years ago

Someone help pretty please!

Nonamiya [84]

The answer is choice B
y > (2/3)x + 1

The boundary line is the equation y = (2/3)x + 1 which can be found through the slope formula to get m = 2/3. Then you use one of the two points on the line to find b = 1.

The equal sign in y = (2/3)x + 1 changes to a "greater than" sign to indicate two things
A) The shaded region is above the boundary line
B) The boundary line itself is a dashed line to indicate "no solution points on this line"

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3 years ago

PLEASE ANSWER FAST! WILL GIVE BRAINLIEST!

NemiM [27]

Answer:

Step-by-step explanation:

You need to find the area of each of the shapes by multiplying the length by the width. Then, you need to add them all together. I won't do it for you because it will make it harder to learn stuff in the future but I told you the formula!!

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2 years ago

What is 2 over x ²- 4x + 4 over x - 4

kobusy [5.1K]

Mark brainliest please

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2 years ago