1. A system of equations is shown below. Find the solution by using substitution.
y = 3x - 2
y = x + 2

Answers

Answer 1

Answer:

x = 2

y = 4

or (2 , 4)

Step-by-step explanation:

Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.

[tex]3x-2 = x+2\\[/tex]

Now we can solve x.

[tex]3x= x+4\\[/tex]

[tex]2x = 4\\[/tex]

x = 2

Now that we have solved for one variable we can plug this back into either equation and solve for y.

[tex]y = 2 + 2\\[/tex]

y = 4


Related Questions

Tony wants to put $318,000 in his retirement savings account. It earns an interest rate of 7.1% compounded quarterly. He wants to determine how much he will have in the account after 5 years, even if he makes no additional contributions or withdrawals to the account
A. $448099.52
B. $347242.34
C. $452115.44
D. $341186.28
which answer correct

Answers

Answer:

It is b

Step-by-step explanation:

Hope it helps

Determine the x-intercepts of the following equation.
(-x + 5)(-x - 2) = y
(-10,0
(5,0) and (-2,0)
(0,10)
(0, -10)
(5,0) and (2,0)
O(0,5) and (0, -2)​

Answers

Answer:

(5,0) and (-2,0)

Step-by-step explanation:

In order to find the x intercept, the y value has to be zero, this automatically eliminates several of the options. What you can do is plug in 0 for y and see what the answer is. If you get stuck, you can also guess and check.

Ashley is on her way home in her car. She has driven 18 miles so far, which is two-thirds of the way home. What is the total length of her drive?

____ Miles

Answers

Answer:

27 miles

Step-by-step explanation:

2/3rds of the way home is 18 miles

2/3 d = 18

Multiply each side by 3/2

3/2 * 2/3 = 18 *3/2

d = 27

The distance is 27 miles

75
Which expression is equivalent to
72?
(7.5) (7.2)
(7-7-7-7-7) (7.7)
7.5
7.2
7.7.7.7.7
7.7

Answers

Answer:b

Step-by-step explanation:

Answer:

its b on edg 2020.

Step-by-step explanation:

i got it right :)

Would the midpoint (2,2) be correct?

Answers

Answer: YES, Its correct.

[tex]M_x=\frac{-6+2}{2}=2\\\\M_y=\frac{-3+7}{2}=2\\\\M=(2,2)[/tex]

Answer:

(-2,2)

Step-by-step explanation:

The midpoint is the middle of the line. So, you can take it step-by-step and look at the individual numbers.

Between -6 and 2, that is 8 spaces. So, the middle would be four spaces from one of those numbers. Therefore, X-COORDINATE = -2

Between -3 and 7, that is 10 spaces. So the middle would be 5 spaces from one of those numbers, Therefore, Y-COORDINATE = 2

So, the midpoint would be (-2,2)

Jacqui makes $35 an hour working as an accounting assistant. She works 40 hours each month. Jacqui will have made $___ after she’s worked 7 months.

Answers

Answer:

she'll have $9800

Step-by-step explanation:

35 (money in an hour) times 40 (hours each month) is 1400 (money mad in a month)

1400 times 7 (how many months) is 9800

Jacqui have earned $9800 after she’s worked 7 months.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Jacqui makes $35 an hour working as an accounting assistant.

She works 40 hours each month.

Here, number of hours she worked in 7 months

= 40×7

= 280 hours

Total money = 280×35

= $9800

Therefore, Jacqui have earned $9800 after she’s worked 7 months.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ7

The orange and blue lines represent different linear functions. Write the color of the line that describes the scenario.


When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour.

Answers

Answer:

Blue

Step-by-step explanation:

I just got this question correct

Answer:

Blue

Step-by-step explanation:

The points (3,-6) and (11,r) lie on a line with slops 3/2. Find the missing coordinare r

Answers

Answer:

r = 6

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to [tex]\frac{3}{2}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = ( 3, - 6) and (x₂, y₂ ) = (11, r)

m = [tex]\frac{r+6}{11-3}[/tex] = [tex]\frac{r+6}{8}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

2(r + 6) = 24 ( divide both sides by 2 )

r + 6 = 12 ( subtract 6 from both sides )

r = 6

A focus group is made up 12 males and 4 females. Half of the males have college degrees. A member is selected at random from the geoup. What is the probability that the member is a male with a college degree?

Answers

Answer:

3/8

Step-by-step explanation:

We first have to find the probability that the person selected is a male and then multiply that by the probability that the male has a college degree.

There are 12 males and 4 females. There are 16 people in total. The probability of selecting a male is:

12/16 = 3/4

Half of the males have a college degree. Therefore, 6 males have a college degree. The probability that a selected male has a college degree is:

6/12 = 1/2

Therefore, the probability that a male is selected and that the male has a college degree is:

3/4 * 1/2 = 3/8

Another inequality question :( Can someone help pls??
Thanks :D

Answers

Answer:

[tex]y\geq x[/tex]

Step-by-step explanation:

Again, let us begin by finding the equation of the line

The y-intercept is 0 and the slope is 1, so the equation of this line would be [tex]y=x+0[/tex] or just [tex]y=x[/tex]

We can see that the shaded region is ABOVE the line, so we would use a greater than (>) sign.

This as the line is shaded in, we must also include that line in the inequality. This means that we will instead use the [tex]\geq[/tex] sign.

This means that our answer would be [tex]y\geq x[/tex]

Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of ​$9.90 how much does each person​ pay?

Answers

Answer:

$10.68

Step-by-step explanation:

The question is incomplete as we were not given the cost of each pizza and each drink.

Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of ​$9.90 how much does each person​ pay? If one large pizza cost $12 and small drink cost $1.5.

Solution:

one large pizza cost = $12

small drink cost = $1.5

3 large pizzas = 3×12 = 36

5 small drinks = 5×1.5 = 7.5

Tip = $9.90

Total cost = 36+7.5+9.9 = $53.4

Total number of people that want to share the cost = Dave and his 4 friends = 4+1 = 5

Each person pays = $53.4/5

Each person pays = $10.68

Convert 237 into binary system​

Answers

Answer:

237 in binary is 0b11101101

Please see the attached picture for full solution

hope it helps....

Good luck on your assignment

Which expressions are equivalent to select three option. HURRY PLZ

Answers

Answer:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]

[tex] 2*2*y\sqrt{2*5*7*y} [/tex]

[tex] 4y\sqrt{70y} [/tex]

Step-by-step Explanation:

To find the expressions that are equivalent to

[tex] \sqrt{1,120y^{3} } [/tex]

let's simplify each of the options given to know if we would arrive at

[tex] \sqrt{1,120y^{3} } [/tex]

Option 1:

[tex] \sqrt{2*2*2*2*5*7*y*y} [/tex]

[tex] \sqrt{(2*2*2)*(2*5)*(7)*(y*y)} [/tex]

[tex] \sqrt{8*10*7*y^{2} } [/tex]

[tex] \sqrt{560y^{2} } [/tex]

Not equivalent to the given expression.

Option 2:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{5^{2} } * \sqrt{7^{2} } * \sqrt{y^{2} } * \sqrt{y^{2} } [/tex]

[tex] 2 * 2 * 2 * 5 * 7 * y * y [/tex]

[tex] 8*5*7*y*y [/tex]

[tex] 280y^{2} [/tex]

Not equivalent to the given expression.

Option 3:

[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]

[tex] 2 * 2 * \sqrt{2} * \sqrt{5} * \sqrt{7} * y * \sqrt{y} [/tex]

[tex] 2 * 2 * y * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y} [/tex]

[tex] 4y * \sqrt{2 * 5 * 7 * y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]

[tex] \sqrt{16 * 70 * y^{2} * y } [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

This option is equivalent.

Option 4:

[tex] 2*2*y\sqrt{2*5*7*y} [/tex]

[tex] 4y\sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

This option is equivalent to the given expression.

Option 5:

[tex] 4y\sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]

[tex] \sqrt{16y^{2} * 70 * y} [/tex]

[tex] \sqrt{16 * 70 * y^{2} * y} [/tex]

[tex] \sqrt{1,120y^{3} } [/tex]

Equivalent!

Options 3, 4 and 5 are the 3 expressions equivalent to

[tex] \sqrt{1,120y^{3} } [/tex]

Answer:C D E

Step-by-step explanation:

Just did the test

I promise I WILL MARK YOU AS BRAINLIEST How many minutes is it before 12 noon if nine minutes ago it was twice as

many minutes past 10 am?

Answers

Answer:

120 - x - 9 past 10am

Step-by-step explanation:

Call “x” the number of minutes it is before 12 noon. Measure time in minutes from 10am, so that 12 noon is 2*60 = 120 minutes after 10 am. The current time is 120 - x after 10 am. Nine minutes ago it was 120 - x - 9 past 10am.

Answer:

The Answer is 120 - x - 9 past 10am

Step-by-step explanation:

Hope this helps. :,-)

Calculate the following combinations

Answers

Answer:

[tex]_3 C_2 =\frac{3}{2}[/tex]

[tex]_3 C_3[/tex] Is undefinded.

Step-by-step explanation:

Given the equations.

[tex]_3 C_2=\frac{3}{(3-2)2}[/tex]

[tex]_3 C_3 =\frac{3}{(3-3)3}[/tex]

Distribute the denominator.

[tex]_3 C_2 =\frac{3}{(6-4)}[/tex]

[tex]_3C_2 = \frac{3}{(9-9)}[/tex]

Simplify the denominator.

[tex]_3 C_2 = \frac{3}{2}[/tex]

[tex]_3 C _3 = \frac{3}{0}[/tex] this is undefined because you're not able to divide by 0.

Answer:

part 1: 3 & 1

part 2: 6

Step-by-step explanation:

edge fam sticks together lol

Help idk how to do this

Answers

Answer:

y = 62°

Step-by-step explanation:

z represents the mid segment of the triangle.

Since, midsegment is parallel to the third side of the triangle.

[tex] \therefore \: y = 62 \degree...(correspnding \: \angle s) \\ [/tex]

If someone could help me thank you it’s geometry :(

Answers

Answer:

<1 = 119

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

<1 = 57+62

<1 = 119

Answer:

119

Step-by-step explanation:

i need help please!!!!!!!!!!!!

Answers

Answer:

-1/2

Step-by-step explanation:

The line in slope-intercept form,

y = mx + b

has slope m.

In this case, m = -1/2

Slope = -1/2

Answer:

1. m=-1/2

Step-by-step explanation:

The line is given in slope-intercept form, or

y=mx+b

where m is the slope and b is the y-intercept.

Essentially, the number that is multiplied by x is the slope, and the number that is added or subtracted from the term with x is the y-intercept.

The equation of line is:

y= -1/2x+ 1/4

-1/2 and x are being multiplied (-1/2*x= -1/2x). 1/4 is being added onto the term with x (-1/2x).

Therefore, the slope must be -1/2 and the y-intercept is 1/4.

m= -1/2

b= 1/4

The slope is -1/2 and the first choice is correct.

What two integers multiply to be 20 and add to be 12

Answers

Answer:

10 and 2

Step-by-step explanation:

[tex]10*2=20\\\\10+2=12[/tex]

Answer:

10 and 2

Step-by-step explanation:

Use trial and error method Or, I recommend finding the factors of 20.

The first ones that come to mid would be:

10, 2

4,5

20,1

Then we try each of them out, by adding the corresponding factors.

this way, we see that 10 and 2 are the only ones.

Please mark brainiest

part 2. Find the measure of the indicated angle to the nearest degree​

Answers

Answer:

i hope this helps you

Which statement is true about the coordinates (3 , 2)?

Answers

Answer:

you cant answer it you have no choice to pick cuz you didnt put dem

Step-by-step explanation:

If x is 5, then 6x = _____

Answers

Answer:

30

Step-by-step explanation:

6(5)=30

// have a great day //

Answer:

30

Step-by-step explanation:

Factor the expression completely.
18x2 - 32
O A. 2(3x + 2)(3x – 8)
B. 2(9x2 - 16)
O C. 2(3x - 4)(3x - 4)
O D. 2(3x + 4)(3x - 4)

Answers

Answer:

[tex]\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}[/tex]

Step-by-step explanation:

      [tex]A = 18x^{2} - 32\\[/tex]

Find the sharing components:

<=> [tex]A=2*9*x^{2} - 2*16[/tex]

Apply the inverse of associative property:

<=> [tex]A = 2(9x^{2} - 16)[/tex]

Identify two square components inside the parenthesis:

<=> [tex]A = 2((3x)^{2} - 4^{2} )[/tex]

Factorize:

<=> [tex]A = 2(3x + 4)(3x - 4)[/tex]

=> Option D is correct

Hope this helps!

:)


The two segments formed as a result of a bisector will
always be______?
1Proportional
2Perpendicular
3Congruent
4Parallel

Answers

I believe it’s 2) perpendicular

It can’t be parallel because that means they never touch but a bisector is something that cuts into two parts

congruent has to do more with size/being equal

Triangle EFG has vertices E(-3,4), F(-5,1), and G(1,1). The triangle is translated so that the coordinates of the image are E’(-1,0), F’(-3,-5), and G’(3,-3).

Answers

Answer:

first Horizontal translation right '2' units  and  vertical translation up '-4' units    

E ( -3 +2 , 4+(-4)) → E¹(-1 ,0)

F(-5 +2 , -1 +(-4)   → F¹(-3 ,-5)

G( 1+2 , 1+(-4)   → G¹(3 ,-3))

Step-by-step explanation:

Explanation:-

Now we will applying below rules

Type of transformations                 change to co-ordinate point

vertical translation up 'd' units                 (x,y)→(x, y+d)

vertical translation down 'd' units            (x,y)→(x, y-d)

Horizontal translation left 'C' units            (x,y)→(x-c, y)

Horizontal translation right 'C' units           (x,y)→(x+c, y)

Now we will apply rule is

first Horizontal translation right 'C' units  and  vertical translation up 'd' units    

Given E( -3 ,4 ), F(-5 ,1) and G(1,1)

first Horizontal translation right '2' units  and  vertical translation up '-4' units    

and it translated  E ( -3 +2 , 4+(-4)) → E¹(-1 ,0)

                           F(-5 +2 , -1 +(-4)   → F¹(-3 ,-5)

                           G( 1+2 , 1+(-4)   → G¹(3 ,-3))

Answer:C, The answer is the third option

A rectangle has an area of 590.4m2
One of the sides is 8.2m in length.
Work out the perimeter of the rectangle.

Answers

Answer:

hope this helps you

Classify the following triangle. Check all that apply.

Answers

Answer:

Right, Scalene (D and E)

Step-by-step explanation:

One side of the triangle contains a right angle, therefore it is a right triangle

the three sides are all different lengths from each other, making it scalene

Answer:

D. Right

E. Scalene

Step-by-step explanation:

Definitions

Acute: A triangle whose angle measure are all acute angles.

Equilateral: A triangle with all the same side lengths and angle measures.

Obtuse:  A triangle with one obtuse angle and two acute angles.

Right: A triangle who has a right angle and two acute angles.

Scalene: A triangle whose sides are all different lengths

Isosceles: A triangle who has 2 sides the same length and the other different.

Our triangle fits the descriptions of the right triangle and scalene triangle.

The Expression3(x-9) equivalent to

Answers

Answer:

3x - 27

Step-by-step explanation:

3(x-9)

Distribute

3x * -3*9

3x - 27

Answer:

Brainliest!

Step-by-step explanation:

it is equivialent to 3x-27

just simplify the equatoin

2(2.5x+8)=26 help me please!!!

Answers

Answer:

x=12/5

Step-by-step explanation:

2(2.5x+8)=26

5x+14=26

5x=12

x=12/5

Answer:

The value of [tex]x[/tex]:

[tex]x = 2[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]2(2.5x + 8) = 26[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]2(2.5x + 8) = 26[/tex]

[tex]2.5x + 8 = \frac{26}{2}[/tex]

-Divide [tex]26[/tex] by [tex]2[/tex]:

[tex]2.5x + 8 = \frac{26}{2}[/tex]

[tex]2.5x + 8 = 13[/tex]

-Subtract both sides by [tex]8[/tex]:

[tex]2.5x + 8 - 8 = 13 - 8[/tex]

[tex]2.5x = 5[/tex]

-Divide both sides by [tex]2.5[/tex]:

[tex]\frac{2.5x}{2.5} = \frac{5}{2.5}[/tex]

Expand to the form [tex]\frac{5}{2.5} = 2[/tex] by multiplying both the numerator and the denominator by [tex]10[/tex]:

[tex]\frac{5}{2.5} = 2[/tex]

[tex]x = \frac{50}{25}[/tex]

Then, you divide [tex]50[/tex] by [tex]25[/tex]:

[tex]x = \frac{50}{25}[/tex]

[tex]x = 2[/tex]

So, the final answer would be [tex]x = 2[/tex] .

How many ways can you select 2 pieces of fruits from a basket of 8 pieces?

Answers

Answer:  56

Step-by-step explanation:

There are 8 pieces of fruit to choose from.

When you choose the next piece, there are only 7 pieces remaining to choose from.

First pick    and     Second pick

     8             x         7 remaining   =   56

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