PLEASEE ANSWER ASAPP!!
The system of linear equations −3x + 2y = −6 and y equals negative one half times x plus 4 is graphed on a coordinate plane. Approximate the solution to the system.

Answers

Answer 1

Answer: the solution to the system of equations is approximately (3.5, 2.25)

Step-by-step explanation:

The first equation can be rewritten in the form y = mx + b, where m is the slope and b is the y-intercept, by solving for y:

-3x + 2y = -6

2y = 3x + 6

y = (3/2)x + 3

The second equation already has the form y = mx + b:

y = -1/2 x + 4

Now that both equations are in the form y = mx + b, we can graph them on a coordinate plane and find the point at which they intersect, which is the solution to the system. The x and y coordinates of the intersection point are the values that satisfy both equations simultaneously.

The x and y values of the intersection point can be found either by solving for x and y or by using the method of substitution.

By using substitution, we can substitute the value of y from the second equation into the first equation to solve for x:

-3x + 2(-1/2 x + 4) = -6

-3x + (-x + 8) = -6

-4x + 8 = -6

-4x = -14

x = 3.5

Now that we have found x, we can substitute it into either equation to find y:

y = -1/2 x + 4

y = -1/2 * 3.5 + 4

y = 2.25

So, the solution to the system of equations is approximately (3.5, 2.25).

Related Questions

PLEASE ANSWER I WILL GIVE BRAINLIEST TO THE BEST ANSWER

Answers

Answer:a+8

Step-by-step explanation:

I think it’s a+8 because since the difference between the 2 numbers is 8 to get the other number you have to add 8 to a.

Answer: hope this helps ♡

a + 8 = x

Step-by-step explanation:

The lesser number = a

The greater number = x

The difference = 8

Expression:

a + 8 = x

(Eg: a=4 x=12 difference=8 expression=4+8=12)

Which expression is equivalent to -6?
-8 + (-2)
-8 - (-2)
-2 + (-8)
2 - (-8)

Answers

Answer:

It would be -8 - (-2)

Step-by-step explanation:

It would be the second choice because it's the only one with a negative six.

Answer:

-8 - (-2) is equivalent to -6.

Step-by-step explanation:

-8 + (-2) = -8 - 2 = -10

-8 - (-2) = -8 + 2 = -6 ✓

-2 + (-8) = -2 - 8 = -10

Tri 2: (6x4)/2

Rec B: 12x4

Rec C: 12x4

it’s true
multiply 4ft by 12ft and multiply by two as there is two rectangles
multiply 10 by 6
multiple 6 by 4 (you divide by two as it’s a triangle then multiple by 2 as you have two so they cancel)

Please help I will give brainliest

Answers

your answer would be 2 over 2 for rise over run

The answer would be 2 over 2
Rise-2
Run-2

If you multiply 2 times $2.00, you get $4.00. If you add $2.00 and $2.00 you get $4.00. If you multiply 3 times $1.50, you get $4.50. If you add $3.00 to $1.50 you also get $4.50. If you multiply 5 times $1.25 you get $6.25. If you add $5.00 to $1.25 you also get $6.25. Six times what amount of money would give the same amount as $6.00 added to that amount?

Answers

Answer:

1.00

Step-by-step explanation:

[tex]1.00 \times 6[/tex]

1.00

1.00x6 = $6.00

Sam is packing gift boxes with fruit. For each apple, he packs 3 plums, and 5 oranges. If he puts three apples in a box, how many plums and oranges will Sam put in the box?

Answers

Answer:

9 plums and 15 oranges

Step-by-step explanation:

3+3+3 = 9 plums

5+5+5= 15 oranges

1+1+1= 3 apples

70 faculty members at a school 14 of the faculty members are male. what percentage of the faculty is female? please show your work.

Answers

Answer: 80% of the faculty is female

Step-by-step explanation:

To find the percentage of the faculty that is female, we need to first determine how many faculty members are female.

Number of female faculty members = Total faculty members - Number of male faculty members

Number of female faculty members = 70 - 14

Number of female faculty members = 56

Now we can calculate the percentage of the faculty that is female by dividing the number of female faculty members by the total faculty members and multiplying by 100.

Percentage of female faculty members = (Number of female faculty members / Total faculty members) x 100

Percentage of female faculty members = (56 / 70) x 100

Percentage of female faculty members = 0.8 x 100

Percentage of female faculty members = 80%

Therefore, 80% of the faculty at this school is female.

Several motorcyclists were pulled over by a police officer for speeding one evening. Each of the tickets that the officer gave was over $180. The cost of a speeding ticket includes an automatic fine of $75 as well as $7 for every mile per hour over the speed limit.

Fill in the blanks to model the cost of the speeding tickets. Use x to represent the number of miles per hour over the speed limit each motorcyclist was going.

The inequality
Select ...
Select ...
models the problem.

The solution to the inequality is
Select ...
Select ...
.

This means that each motorcyclist was going
Select ...
Select ...
miles per hour over the speed limit.

Answers

Answer:

x<15

Step-by-step explanation:

75+7x<180

subtract 75 from 180

7x<105

divide 105 by 7

x<15

Hope this helps!

Find the value of y that makes the equation 3y = x + 2 true, when x = 1. A. 1 B. 3 C. 1/3 D. 2

Answers

Answer: A

Step-by-step explanation:

x=1 right? 1x3 =3 and yo need 3 to make it work so there you go

The answer is a because
3(1)= x+2
3=x +2
1=x

need help plsss fast!!!!

Answers

Answer:

-2x - 10 = -2(x + 5)

Step-by-step explanation:

-2x - 10 = -2(x + 5)

Multiply out the right side:

-2x - 10

Answer:

-2x-10=-2(x+5)

Step-by-step explanation:

-2x-10=-2x-10

Label the Cluster and the Outlier in the Scatter Plot shown.

Answers

Answer: 5,-3 is the outlier

Everything else is the cluster

Step-by-step explanation: You can see it in the graph

help me please thank you

Answers

Answer:

[tex]\tt {1)\:a^{-b}}=\boxed{\tt \cfrac{1}{a^b}}[/tex]

[tex]\tt 2)\: \cfrac{a^b}{a^c}=\boxed{\tt a^{b-c}}[/tex]

[tex]\tt \tt 3)\:\cfrac{a^c}{b^c}=\boxed{\tt \left(\cfrac{a}{b}\right)^c}[/tex]

Step-by-step explanation:

[tex]\tt {1)\:a^{-b}}[/tex]

Apply the exponent:-

[tex]\boxed{\tt a^{-b}=\frac{1}{a^b}}[/tex]

[tex]\tt \cfrac{1}{a^b}[/tex]

___________________

[tex]\tt 2)\: \cfrac{a^b}{a^c}[/tex]

Apply the exponent:-

[tex]\boxed{\tt \cfrac{x^a}{x^b}=x^{a-b}}[/tex]

[tex]\tt a^{b-c}[/tex]

___________________

[tex]\tt 3)\:\cfrac{a^c}{b^c}[/tex]

Apply the exponent:-

[tex]\boxed{\tt \frac{x^a}{x^b}\:=\:x^{a-b}}[/tex]

[tex]\tt \left(\cfrac{a}{b}\right)^c[/tex]

________________________

Hope this helps! :)

PLEASE HELP

Question 1
The double box-and-whisker plot shows the goals scored per game by two hockey teams during a 20-game season.

Team A: median = 3, IQR = 2
Team B: median = 7, IQR = 2
The variation in the goals scored is the same, but Team B usually scores about 4 more goals per game.

Express the difference in the measures of center as a multiple of the measure of variation.

Answers

Answer:

To express the difference in the measures of center as a multiple of the measure of variation, we can use the coefficient of variation (CV), which is a measure of relative variability. The CV is calculated by dividing the standard deviation by the mean and expressing the result as a percentage.

However, in this case, we are not given the standard deviation or the mean of the data. Instead, we are given the median and the interquartile range (IQR) for each team. The IQR is a measure of the spread of the middle 50% of the data and is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).

To find the measure of variation, we can use the IQR for each team. The IQR for Team A is 2, and the IQR for Team B is also 2.

To find the difference in the measures of center, we can subtract the median of Team A from the median of Team B:

7 - 3 = 4

Therefore, the difference in the measures of center is 4.

To express this difference as a multiple of the measure of variation, we can divide the difference by the IQR for either team. Let's use the IQR for Team A:

4 / 2 = 2

Therefore, the difference in the measures of center is 2 times the measure of variation (IQR) for Team A.

If you invest 360 dollars and your annual interest is 54$ what is the interest rate?

Answers

Answer:

0.15

Step-by-step explanation:

[tex]54 \div 360[/tex]

equals 0.15

Answer:

I think it's $554.40

Step-by-step explanation:

i need help with this imagine math lesson or i fail math

Answers

Answer:

Fill in the blank 1: -23

Fill in the blank 2: -33

Fill in the blank 3: 23

Fill in the blank 4: 10

Step-by-step explanation:

The first fill in the blank is solved by adding -23 or subtracting 23 from -13 to equal the other side of the equation. The second fill in the blank is solved by adding -23 and -13, which would get you -33 (assuming that you're supposed to solve the right side of the equation). The 3rd fill in the blank is solved by adding the opposite of -23 to the right side of the equation (23). The 4th fill in the blank is solved by adding -13 and 23 together which make 10.

Answer:

1. -23

2. -33

3. 23

4. 10

Step-by-step explanation:

Q1. A sample of students is taken from the school's A honor roll. The school estimates that there are 360 students on the A honor roll. Using the sample, how many students on the A honor roll are 8th graders?

Q2. If there are 360 students in the school on the A honor roll, how many students are 7th graders?

Answers

Q1: 126 students on the A honor roll are 8th graders. First you add 15+11+14. You get 40. Divide 360 by 40 you get 9. Multiply 9 by 14 that is 126.

Q2. 99 students on the A honor roll are 7th graders. You add 15+11+14=40. 360/40=9. 9 x 11 = 99.

NEED HELP ASAP

Write an equation for this table. No spaces!

Answers

Answer:

for one shirt would be y=1.50x+1

Step-by-step explanation:

hope this helps!

y=1.50x+1 that’s the equation

please help me with this one

Answers

Answer:

Let the tree be x, the puppies be y, and the flowers be z.

Given: x + 26 = 114

When finding x: x = 114 - 26

x = 88, Therefore the tree has a value of 88.

Given: y + y + y = 159

When finding y: 3y = 159

y = 159/3 = 53, Therefore the puppies have a value of 53 each.

Given: z - 26 = 200

When finding z: z = 200 + 26

z = 226, Therefore the flowers have a value of 226.

Have a wonderful day! :-)

11 turtles out of 82 turtles are tagged, how many turtles would there be if 53 turtles were tagged?

Answers

Answer: Wouldnt it be 82 since the number of turtles doesn't change?

Pretty sure it would be 29

If Layla paid $48 for 4 movie tickets, how much would it cost her to
purchase 7 tickets? How much does each ticket cost?
explain how you would use ratios and proportions

Answers

The answer is 84
Reason for that is evert ticket is 12 dollars which you multiply by 7 since she has to purchase 7 tickets.
The way you find it’s 12 dollars is by dividing 48 by 4

48 divided by 4 is 12 so every ticket is 12 $ and 12 x 8 is 96 $

NEED HELP ASAP

Identify the constant of proportionality

Answers

Answer: 3/2 or 1.5

Step-by-step explanation:

the constant is the thing that is multiplied by the shirts to find the price

7.50/5 is 1.5

so is 15/10 etc

only right answer please

Answers

Answer: 1. S, $29.75

2. P, $160

3. I, 1,536

4. E, 1,015

5. A, 20

6. 306

Step-by-step explanation: 1. S, $29.75 2. P, $160 3. I, 1,536 4. E, 1,015 5. A, 20 6. 306

A locker combination has three nonzero digits, and digits cannot be repeated. If the first two digits are even, what is the probability that the third digit is even?

Answers

Answer:

4/9

Step-by-step explanation:

Since the answer is 1 digit then the range is from 1 - 9 and since you need even number you remove 1, 3, 5, 7, and 9, to get 4 even numbers out of the 9 possible digits.

The answer to this question is 4/9

i need help for this question please
4(10g - w)

Answers

Multiply the terms inside the parenthesis

Solution

40g - 4w

Answer: 40g - 4w

Step-by-step explanation:

4(10g - w)

4(10g) + 4(-w)

40g - 4w

What is the volume of triangular prism?

Answers

Volume formula: Volume=LengthxWidthxHeight
11x2x7=154
So the volume is 154 inches

Volume formula:
Volume=LengthxWidthxHeight
11x2×7=154
So the volume is 154 inches

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PLEASEE ANSWER ASAPP!! The system of linear equations −3x + 2y = −6 and y equals negative one half times x plus 4 is graphed on a coordinate plane. Approximate the solution to the system.

Answers

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PLEASEE ANSWER ASAPP!!
The system of linear equations −3x + 2y = −6 and y equals negative one half times x plus 4 is graphed on a coordinate plane. Approximate the solution to the system.