Solve the following system of equations.

Solve The Following System Of Equations.

Answers

Answer 1

Answer:

x= 0, y= -15

Step-by-step explanation:

Start by labelling the 2 given equations.

y= -2x -15 -----(1)

y= -15 +3x

y= 3x -15 -----(2)

Substitute (1) into (2):

-2x -15= 3x -15

3x +2x= -15 +15

5x= 0

Divide both sides by 5;

x= 0

Substitute x= 0 into (2):

y= 3(0) -15

y= -15

Answer 2

Answer:

Let eqn 1 be y = -2x -15

and Eqn2 be y-3x =-15

Substitute Eqn 1 into Eqn 2

where -2x-15-3x = -15

-5x = 0

X is 0

from Eqn1 the value of y Will be

-2(0) - 15

Value of y is -15

Therefore (X,y) = (0, -15)


Related Questions

A) 22.4
B) 43.7
C) 85.3
D) 4.75

Answers

The answer is approximately b and the wrong answers are A C and D you’re welcome make sure you give me 5 stars

Answer:

its should be b

Step-by-step explanation

mark brainlist

PLEASE HURRY I NEED HELP

Answers

Answer:

I think 58% I’m not 100% sure but yea

Step-by-step explanation:

I divided the number of votes for printed 71 by the total number of votes 122 so 71/122=.58 58%

HELP PLEASE i will give 25

Answers

Answer:

130°

.....

....................

408 takes the bus that's 60 percent of the kids at school what is the told number of kids at school

Answers

Answer:

408 students = 60%

408 x 100/60

= 680 students in total

PLEASE HELP ME ASAP

I don't understand this

Answers

Answer:

18 times 15 times 9 = 2430 cubed inches

Step-by-step explanation:

Draw a line plot to show the lengths of Tony's 7 strings to the nearest fourth inch

Answers

The line plot is used to show the lengths of the string colors using  check marks above the line

How to draw the line plot

From the complete question, we have the following frequency table

String color      Length

Black string        [tex]3\frac 12 \ in[/tex]

Blue string          4 in

White string         [tex]3\frac 12 \ in[/tex]

Brown string         [tex]3\frac 14 \ in[/tex]

Green string         [tex]4\frac 34 \ in[/tex]

Express as improper fraction

String color      Length

Black string        [tex]\frac {14}4 \ in[/tex]

Blue string          [tex]\frac{16}4\ in[/tex]

White string        [tex]\frac {14}4 \ in[/tex]

Brown string       [tex]\frac {13}4 \ in[/tex]

Green string        [tex]\frac {19}4 \ in[/tex]

Since the lengths are fractions and the string color is a text, then

We plot the lengths on the x-axis and the string color on the y-axis

See attachment for the line plot

Read more about line plots at:

https://brainly.com/question/15853311

Find the volume of the prism.

A) 216 km
B) 109 km
C) 113 km
D) 152 km

Answers

Left side traingle:-

B=6kmH=8Km

Area=

[tex]\\ \rm{:}\dashrightarrow \dfrac{1}{2}BH=\dfrac{1}{2}(6)(8)=4(6)=24km^2[/tex]

Now

Volume:-

Area of base×Height24(9)216km^3

Multiply: (3xl-5)(-x + 4)
)+
Applying the distributive property, the expression becomes (3x)(-x) + (3x)(4) + (-5)(-x) + (-5)(4).
What is the simplified product in standard form?
px +
62 +

Answers

Answer:

Step-by-step explanation:

Multiply: (3x - 5)(-x + 4)

By applying the distributive property,

(3x - 5)(-x + 4)

= (3x)(-x) + (3x)(4) - (5)(-x) - (5)(4)

= -3x^2 + 12x + 5x - 20

= -3x^2 + 17x - 20

That is the simplified product in standard form.

Let's see

[tex]\\ \rm\longmapsto (3x-5)(-x+4)[/tex]

a(b+c)=ab-bc

[tex]\\ \rm\longmapsto 3x(-x+4)-5(-x+4)[/tex]

[tex]\\ \rm\longmapsto -3x^2+12x+5x-20[/tex]

[tex]\\ \rm\longmapsto -3x^2+17x-20[/tex]

y=-⅓x+4 what is this treasure of change?
Please Help!​

Answers

Answer:

-1/3

Step-by-step explanation:(if treasure of change is "rate of change")

Equation of a line: mx + b

m=-1/3: slope

b: y-intercept

^Whenever working with an equation of slope/rate of change the above variables have specific meanings.

Slope is another term for rate of change so the rate of change would be -1/3.

m=-1/3=slope/rate of change

b=4=y intercept

Directions: Express the number in scientific notation.
The human eye blinks an average of 4,200,000
times a year.

Answers

Answer:

count how many time you need to move the decimal point to only have 1 number on the left

4,200,000 = 6 times

4.2 × 10^6

Decide which of the following is a reasonable answer for 7/5 x 7. pls help
7/5
7
9 4/5

Answers

It would be 7.

The equation would look like:
7/5 x 5/1 or..

7 x 5
——-
5 x 1

= 35/5
= 7

I need help on this pls

If kushina made 5 cupcakes and minato and naruto took 2 each how much cupcaked does kushina have left for herself

And
If obito has 2 sharingan and gave one to kakashi how much sharingan does obito have?

Answers

5 - 2 = 3 cupcakes left for herself

2 - 1 = 1, kakashi has 1 sharingan now and so does obito

- Simplify (3x - 5) + (5x + 1). O 8x - 6 O 8x +4 - O 8x - 4 O 2x - 4​

Answers

Answer:

8x - 4

Step-by-step explanation:

3x - 5 + 5x + 1

8x - 4

the answer is 8x-4 because
3x+-5+5x+1
=(3x+5x)+(-5+1)
=8X+-4

4. A punch bowl holds 80 oz of punch, that is enough for exactly 16 servings.
Hillary says that there are 20oz of punch for every 5 servings. Is Hillary correct?

Answers

Answer:

No, Hillary is incorrect. There's 20oz of punch for every 4 servings.

Step-by-step explanation:

80oz / 20oz = 4

16 servings / 4 = 4 servings

So, instead of there being 20oz of punch for every 5 servings, there would be 20oz of punch for every 4 servings.

Jed buys a sweater that has a sale price of $48. Jed gives the sales clerk $60 and receives $7.80 in change. What is the sales tax rate?.

Answers

Answer:

8.75%

Step-by-step explanation:

Answer:

8.75%

Step-by-step explanation:

money given= $60

Price=$48

returned money should be=$60-$48

                                            =$12

received= $7.80

sales tax=$12-$7.80

              =$4.2

%=Sales tax /price×100

=$4.2/$48×100

=8.75%

There are 135 people in a sport centre.
73 people use the gym.
59 people use the swimming pool.
31 people use the track.
19 people use the gym and the pool.
9 people use the pool and the track.
16 people use the gym and the track.
4 people use all three facilities.
Given that a randomly selected person uses at least two facilities, what is the probability they
use all the facilities?

Answers

Answer:

1/9

Step-by-step explanation:

4 people use all three facilities, then

16 - 4 = 12 people use the gym and the track and do not use the pool;

9 - 4 = 5 people use the pool and the track and do not use the gym;

19 - 4 = 15 people use the gym and the pool and do not use the track.

At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is 4/36 which is equivalent to 1/9

73:59:31:19:9:16:4
the probability of using 2 would be 8

Let g(x) = 3(x - 6)^2 + 1. Find the range of $g$.

Answers

Answer:

[1,∞)

Step-by-step explanation:

Let's try to plug in some numbers.

When solving a problem fo range, the best place to start is where you can let the (x - b) part = 0.

This is what I mean

3(x-6)² + 1

Let x = 6

3(0)² + 1 = 1

Look how we have a 0 inside the parentheses.

That's what I mean.

Now let's try using terms smaller than 6.

Now, let's try plugging in 5

3(-1)² + 1 = 4

Now try plugging in 4

3(-2)² + 1 = 13

Looks like we will just keep going up.

Now let's try using terms bigger than 6.

Plugging in 7

3(1)² + 1 = 4

Plugging in 8

3(2)² + 1 = 13

We just go up both ways because of the x squared term.

So our smallest value is at x = 6 where we have y = 1.

If we go either direction forever to the right or left the terms to get bigger, where it approaches infinity.

So, 1 will have parentheses as it can be reached and infinity will have parentheses as it is unreachable and goes on forever.

[1,∞)

Your odometer reads 4,261 miles. You drive your car until the odometer reads 4,751 and your car used 25 gallons of gasoline during the trip.
About how many miles per gallon has your car been getting? Round up to the highest ten.

20
35
170
190

Answers

Answer:

35 gallons.

Step-by-step explanation:

Why? Bc it is the closest 4,751

Need help on this question ASAP pleasee please!

Answers

Answer:

A

.....

....

....

...

...

...

what is 9+10 -129×5÷232²32×400÷23

Answers

Answer: 9 + 10 = 19

-129 x 5 =  -645

232 exponent of 2 = 53,824

32 x 400  = 12,800

400 / 23 = 17

53,824 + 12,800 + -645 + 19 + 17 = 66015

Step-by-step explanation:

x(85+1.90)=96.90 what is x ?????

Answers

Answer:

1.1150

Step-by-step explanation:

x(86.90) = 96.90

86.90x = 96.90

86.90x/86.90 = 96.90/86.90

x = 1.120

Answer:

[tex]\huge\boxed{\sf x = 1.12}[/tex]

Step-by-step explanation:

x (85 + 1.90) = 96.90

Add

x (86.90) = 96.90

Divide 86.90 to both sides

x = 96.90 / 86.90

x = 1.12

[tex]\rule[225]{225}{2}[/tex]

Help please quickly.

Answers

Answer:

3.5

Step-by-step explanation:

Look at the .5's closely if you take the 2.5 measurement info and then there is a little bit left that may be another .5 measurement.

What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation.

Answers

The opposite operation of squaring is to find the square root. I dunno what the original equation is so I can’t help with that

Darren wants to estimate the mean age in a population of trees. He'll sample nnn trees and build a 90\%90%90, percent confidence interval for the mean age. He doesn't want the margin of error to exceed 333 years. Preliminary data suggests that the standard deviation for the ages of trees in this population is \sigma=16σ=16sigma, equals, 16 years. Which of these is the smallest approximate sample size required to obtain the desired margin of error?

Answers

Using the z-distribution, as we have the standard deviation for the population, it is found that the smallest sample size required to obtain the desired margin of error is of 77.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have that the parameters are given as follows:

[tex]M = 3, z = 1.645, \sigma = 16[/tex].

Hence, solving for n, we find the sample size.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 1.645\frac{16}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 1.645 \times 16[/tex]

[tex]\sqrt{n} = \frac{1.645 \times 16}{3}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.645 \times 16}{3}\right)^2[/tex]

[tex]n = 76.97[/tex]

Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.

More can be learned about the z-distribution at https://brainly.com/question/25890103


Mr Dean and mr. Mack each make a box plot to represent the grades from the same unit test for their first period classes


1. The number of students in mr Mack first period that scored between 78 and 90 on unit test represent what percent of his students.

A.25%
B.50%
C.75%
D.100%

Answers

Answer:

c

Step-by-step explanation:

i need help with this​

Answers

Since angle 163 is obtuse we can subtract that from 180 since an obtuse angle + and acute angle with equal 180.
So 180-163 = 17!

Answer: 17 degrees

Step-by-step explanation: Because you have angle A= 163, you can tell that angle B is 17 degrees (sum of angles on one side of a straight line add up to 180). Line M and line N are parallel, so they have corresponding angles, making angle B and angle X are the same. See picture attached for my diagram :). hope this helped!

(15)/(sin64)=(b)/(sin50)=(c)/(sin66)

Answers

sin 64= .898
sin 50= .766
sin 60= .913
(15)(.898)=13.47

Answer:

b≈12.78 ; c≈15.25

Step-by-step explanation:

See image.

I need help getting the answer for this one. Thank you

Answers

The next step is to to construct a line through point R  is the option;

Place the compass on point T. without changing the setting from the previous step, draw a small arc above [tex]\overleftrightarrow{ST}[/tex]

What are the steps to construct a perpendicular to a line?

The steps to  construct a perpendicular through the point R are;

Place the compass at point R and draw an arc intersecting the line ST at the point S and T.

Place the compass at point S and draw the arc given in the drawing.

Place the arc at point T and without changing the setting draw an arc above the line ST to intersect the previous arc.

Join the point of intersection of the arcs to the point R to complete the construction of the perpendicular to the line ST passing through R

The step that should be taken next to construct a line through point R that is perpendicular to [tex]\overleftrightarrow{ST}[/tex] is therefore;

Place the compass on point T. without changing the setting from the previous step, draw a small arc above [tex]\overleftrightarrow{ST}[/tex]

Learn more about how to carry out geometric constructions here:

https://brainly.com/question/13160630

How are the two shapes
similar?

Answers

Answer:

they arent

Step-by-step explanation:

maybe height or width

i dunno

please help!!
Determine the five-number summary for the data set. 20, 26, 18, 31, 22, 28, 30

Answers

Answer:

min = 18Q1 = 20median = 26Q3 = 30max = 31

====================================================

Explanation:

The first task is to sort the items given.

The sorted set is {18, 20, 22, 26, 28, 30, 31}

There are 7 values in that set. The median is going to be in slot 4 because n/2 = 7/2 = 3.5 rounds to 4.

The value in slot 4 is 26, meaning the median is 26.

There are 3 values below the median, and 3 values above it.

L = lower set = items below the median

L = {18,20,22}

U = upper set = items above the median

U = {28,30,31}

The median of set L is 20, showing that Q1 = 20 is the first quartile.

The median of set U is 30, meaning Q3 = 30 is the third quartile.

The min and max are exactly what they sound like: they are the smallest and largest items. In this case, we have min = 18 and max = 31.

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