Match the graph with the correct set of equations for the linear system. Then, classify the system as Consistent and Dependent, Consistent and Independent, or Inconsistent. (You should have two answers selected)

Match The Graph With The Correct Set Of Equations For The Linear System. Then, Classify The System As

Answers

Answer 1

Answer:

Consistent independent

x + y = 0  and  -x + y = -8

Step-by-step explanation:

Inconsistent: parallel lines, no solutions

Consistent dependent: same line, infinite solutions

Consistent independent: intersects at one point, one solution

Therefore, the pair of lines are Consistent independent

From inspection of the diagram:

One line has a negative slope and the other a positive slope.

One has a y-intercept of 0 and the other a y-intercept of -8.

Therefore, the solution is x + y = 0  and  -x + y = -8

Because:

x + y = 0  ⇒  y = -x  (neg slope, y-intercept of 0)

-x + y = -8  ⇒  y = x - 8  (pos slope, y-interecept at -8)


Related Questions

PSG has given vertices:

P - (2, 3)
S - (1, 1)
G - (4, -3)
Reflect the image across the x-axis then reflect the image across the y-axis.

Final location of the image:

Answers

Answer:

is p because if you miltiply it

What numbers do i put in what box

Answers

Answer:

And I also glue a board at the bottom. So I can lift if I want my number one. And I could have these as a stand-up. In the piece I made some little cupcakes that I'm going to put inside.

Step-by-step explanation:

And put 1, 3 5 7 9 0 in box

PLEASE HELP FAST ILL GIVE BRAINLIEST How much wrapping paper is needed to wrap a cube shaped gift with an edge measuring 15 cm?
0
O A. 1350 cm squared
B. 225 cm squared
O C. 1125 cm squared

Answers

Answer:

Its letter B.

#Carryonlearning

Find the center radius form for each circle having the given endpoints of a diameter.

22. (-4,5) and (6,-9)

26. ( 0,9) and (0,-9)

Answers

Answer:

22.  [tex](x-1)^2+(y+2)^2=74[/tex]

26.  [tex]x^2+y^2=81[/tex]

Step-by-step explanation:

The center of a circle is the midpoint of the diameter.

[tex]\textsf{midpoint}=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

(where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the endpoints of the diameter)

The radius of the circle is the distance between the center and an endpoint of the diameter.

[tex]\textsf{radius}=\sqrt{(a-x_1)^2+(b-y_1)^2}[/tex]

(where [tex](a,b)[/tex] is the center of the circle, and [tex](x_1,y_1)[/tex] is an endpoint of the diameter)

The center-radius form of a circle: [tex](x - a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Question 22

[tex]\textsf{Let }(x_1,y_1)=(-4.5)[/tex]

[tex]\textsf{Let }(x_2,y_2)=(6,-9)[/tex]

[tex]\textsf{center}=\left(\dfrac{-4+6}{2},\dfrac{5-9}{2}\right)=(1,-2)[/tex]

[tex]\textsf{radius}=\sqrt{(1+4)^2+(-2-5)^2}=\sqrt{74}[/tex]

⇒ equation of circle: [tex](x-1)^2+(y+2)^2=74[/tex]

Question 26

[tex]\textsf{Let }(x_1,y_1)=(0,9)[/tex]

[tex]\textsf{Let }(x_2,y_2)=(0,-9)[/tex]

[tex]\textsf{center}=\left(\dfrac{0+0}{2},\dfrac{9-9}{2}\right)=(0,0)[/tex]

[tex]\textsf{radius}=\sqrt{(0-0)^2+(0-9)^2}=9[/tex]

⇒ equation of circle: [tex]x^2+y^2=81[/tex]

Find area of the figure

Answers

The area of the figure is the length of one side times the length of one side.

   Area is 2 yards * 5/4 yards = 5/2 square yards

Hope that helps!

Find the mean, median, mode, and range for this set of numbers:

14, 12, 7, 13, 6, 8

Answers

Answer:

In explanation

Step-by-step explanation:

Your mean=10

Median=10

Your mode is all of these numbers because none of them was in here more than once.

Your range would be 8 because range is highest number subtract lowest number so 14 is highest and 6 is lowest whats 14-6=8

HELP PLEASEEEEE!!!!!

Answers

1/3 of 9/5 is 3/5


1/3*9/5 = 9/15 = 3/5


Hope this helps!

Taylor needs to put 8 hats in each box.
She has 64 hats. Which equation can
help you find how many boxes Taylor
can fill?

Answers

Hi,

64 ÷ 8 = x

X= the number of boxes

Hope I could help~ have a good day/night :]

Can somebody help me pls 3/10 +16/100 = 19/100 ??? Is it correct

Answers

Answer:

yes it is correct 3/10+16/100=19/100

Brainliest if correct

Answers

2-6 = -4 so 2x-6x would equal -4x


Answer: -4x

what is 224 split into a 5 over 2 ratio

Answers

Answer:

160:64

Step-by-step explanation:

224/7 we divide by 7 because 5 and 2 equals 7

224/7=32

32*5 and 32*2

160 and 64

160:64

Question 4 of 13
if v = (-2,5) and V2 = (4,-3), then the angle between the two vectors is
Round your answer to two decimal places.


please i need help asap

Answers

Answer:

148.67

Step-by-step explanation:

Angle between two vectors is equal to

Inverse cosine of their vectors dot product/ their magnitudes multiplied.

[tex]x = \cos {}^{ - 1} ( \frac{v \times v_{2} }{ |v| |v _{2} | } )[/tex]

Let first, find the dot product

[tex] < - 2,5 > \times < 4, - 3 > = - 8 - 15 = - 23[/tex]

Next we find magnitudes

[tex] - 2 {}^{2} + {5}^{2} = x {}^{2} [/tex]

[tex]29 = {x}^{2} [/tex]

[tex]x = \sqrt{29} [/tex]

[tex] {4}^{2} + {3}^{2} = {x}^{2} [/tex]

[tex]25 = {x}^{2} [/tex]

[tex]x = 5[/tex]

So the we are now,

[tex] \cos {}^{ - 1} ( \frac{ - 23}{ 5\sqrt{29}} ) [/tex]

We then get

[tex]148.67[/tex]

Is it 1/10, 10, 7 or 5/72 please help thank you?

Answers

1/10 because I said so

I will give the BRAINEST

The length of a hypotenuse of a 30° -60° - 90° triangle is 17 yards. What is the length of the
other two sides?
A. 8.5 yds: 8.5 yds
B. 8.5 yds: 8.5/3yds
C. 8.5y3yds: 8.5VZ yds
D. 1773 yds: 8.5 yds

Answers

Step-by-step explanation:

answer is B which is 8•5 yds and 8•5√3 yds

can someone answer this for me please

Answers

Answer:

36 Seconds

Step-by-step explanation:

3 x 12 equals 36

4 x 9 equals 36

what we do is find a least common multiple for both the numbers

hope this helps, if it does, can i have brainliest?

In a card game, Joseph has 2 more than 4 times as many cards as Zachary has. Zachary has z cards. Which expression can be used to find the number of cards Joseph has?

Answers

Answer:

Joseph's cards = 4z + 2

Step-by-step explanation:

4 times as many = 4 times z or 4z

2 more= 4z + 2

Answer:

2x4=6 6x2= 12

Step-by-step explanation:

Jack's pancake recipe calls for 2 teaspoons baking powder and 3 cups of flour.

How much baking powder is needed if Jack uses 9 cups of flour?

Answers

Answer:

6 teaspoons of baking powder

can someone please help!!! Urgent!!

Answers

answer: x=24
explanation: this is what i’m doing in math right now and i’m pretty sure it’s correct

maybe a little more point will make you help me

i put 100 but you may not get that much

am i correct

also, i would give you but that is all it will let me give

Answers

Answer:

SA = 76 yd²

Step-by-step explanation:

Use the formula given:

SA = 2(4)(2) + 2(4)(5) + 2(2)(5)SA = 16 + 40 + 20SA = 76

The units are yards²

SA = 76yd²

-Chetan K

The surface area of the rectangular prism is 76 square yards

The dimensions of the rectangular prism are given as:

Length (l) = 4 yards

Width (w) = 2 yards

Height (h) = 5 yards

The surface area (SA) is calculated as:

SA =2lw + 2lh + 2wh

So, we have:

SA = 2 * 4 * 2 + 2 * 4 * 5 + 2 * 2 * 5

Evaluate the expression

SA = 76

Hence, the surface area of the rectangular prism is 76 square yards

Read more about surface area at:

https://brainly.com/question/6613758

how do i convert 0,00023kl to ml​

Answers

Answer: 230 mL

Explanation:

Volume:
0.00023 Kl to mL
= 230 mL

[tex]0.00023[/tex]×[tex]1[/tex]×[tex]10^{6}[/tex]

= 0.00023 x 1×10×10×10×10×10×10

= 0.00023 x 1000000

= 230 mL

Formula: kL x 1000000 = mL

Convert 356.50 base 10 to hexadecimal​

Answers

Answer:

164.8

Step-by-step explanation:

I used a calculator :)

PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST​

Answers

Answer:

B

Step-by-step explanation:

5÷7 = 0.7142857142857

Sociology graduates, upon entering the workforce, earn a mean salary of
$25,000 with a standard deviation of $5,000. Assume that the distribution of salaries is Normal.
a) What is the probability that a randomly chosen salary exceeds $35,000?
b) What is the probability that a randomly chosen salary is less than $22,500?
c) What is the probability that a randomly chosen salary lies between
$25,000 and $37,500?
d) Find the 15th percentile of the sociology salaries.
e) Find the two salaries that are the cutoff values for the middle 60% of
salaries.

Answers

Using the normal distribution, it is found that:

a) There is a 0.0228 = 2.28% probability that a randomly chosen salary exceeds $35,000.

b) There is a 0.3085 = 30.85% probability that a randomly chosen salary is less than $22,500.

c) There is a 0.4938 = 49.38% probability that a randomly chosen salary lies between $25,000 and $37,500.

d) The 15th percentile of the sociology salaries is of $19,825.

e) The salaries are $20,800 and $29,200.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of [tex]\mu = 25000[/tex].The standard deviation is of [tex]\sigma = 5000[/tex].

Item a:

The probability is 1 subtracted by the p-value of Z when X = 35000, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{35000 - 25000}{5000}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

There is a 0.0228 = 2.28% probability that a randomly chosen salary exceeds $35,000.

Item b:

The probability is the p-value of Z when X = 22500, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{22500 - 25000}{5000}[/tex]

[tex]Z = -0.5[/tex]

[tex]Z = -0.5[/tex] has a p-value of 0.3085.

There is a 0.3085 = 30.85% probability that a randomly chosen salary is less than $22,500.

Item c:

This probability is the p-value of Z when X = 37500 subtracted by the p-value of Z when X = 25000, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{37500 - 25000}{5000}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a p-value of 0.9938.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25000 - 25000}{5000}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a p-value of 0.5.

0.9938 - 0.5 = 0.4938

There is a 0.4938 = 49.38% probability that a randomly chosen salary lies between $25,000 and $37,500.

Item d:

This is X when Z has a p-value of 0.15, so X when Z = -1.035.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.035 = \frac{X - 25000}{5000}[/tex]

[tex]X - 25000 = -1.035(5000)[/tex]

[tex]X = 19825[/tex]

The 15th percentile of the sociology salaries is of $19,825.

Item e:

Due to the symmetry of the normal distribution, it is the 20th percentile and the 80th percentile, that is, X when Z = -0.84 and X when Z = 0.84.

20th percentile:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.84 = \frac{X - 25000}{5000}[/tex]

[tex]X - 25000 = -0.84(5000)[/tex]

[tex]X = 20800[/tex]

80th percentile:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - 25000}{5000}[/tex]

[tex]X - 25000 = 0.84(5000)[/tex]

[tex]X = 29200[/tex]

The salaries are $20,800 and $29,200.

More can be learned about the normal distribution at https://brainly.com/question/24663213

A rectangular sheet of metal has a length of 42 cm and a breadth of 100 cm. It is folded to form a cylinder with the breadth becoming the height. Calculate a) the radius of the cylinder formed b) the volume of the cylinder [Take 1 = 22) ] ​

Answers


Si el ancho de 100 cm de la hoja se convierte en la altura del cilindro, la longitud de 42 cm debe ser su circunferencia.[matemáticas]\ C = 2 \pi r \implica r = \frac{C}{2 \pi} \approx \boxed{6.68 \ \mathrm{cm}}.[/matemáticas]

[matemáticas]V = \pi r^2h = \dfrac{C^2 \cdot h}{4 \pi} = \dfrac{\left(42 \ \mathrm{cm}\right)^2 \cdot 100 \ \ mathrm{cm}}{4 \pi} \approx \boxed{14\,037.5 \ \mathrm{cm^3}}.[/math]
Step-by-step explanatio:

What is the volume of a cylinder if ,
height = 21 cm
radius = 24 cm

and the formula is
[tex]\pi \: {r}^{2} h[/tex]

Answers

Ⲁⲛ⳽ⲱⲉⲅ:

38,016 cm³

Ⲋⲟⳑⳙⲧⳕⲟⲛ :

We are given that :

Height of cylinder = 21 cm

Radius of cylinder = 24 cm

Therefore, Volume :

➙ V = πr²h

➙ V = ( 22 / 7 ) × ( 24 )² × ( 21 )

➙ V = ( 22 / 7 ) × 576 × 21

➙ V = ( 22 × 576 × 21 ) / 7

➙ V = 266112 / 7

V = 38016

‎ㅤ‎ㅤ ‎ㅤ‎ㅤ~Hence, the volume of given cylinder is 38,016 cm³.

⳨ⲟⲅⲙⳙⳑⲇ ⳙ⳽ⲉ∂ :

The volume of cylinder is it's density which tells us the amount by which it can be filled by any material or the the amount of material which can be immersed in it.

The Formula for volume of cylinder is given by :

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎πr²h

Answer:

The answer is 38016 cm³

Step-by-step explanation:

Given;Height (h) = 21 cmRadius (r) = 24 cmTo Find;The Volume of cylinderFormula;V = πr²h

Now,

V = πr²h

V = 22/7 × (24)² × 21 cm

V = 22 × 24 × 24 × 3 cm

V = 38016 cm³

Thus, The volume of cylinder is 38016 cm³

-TheUnknownScientist 72

What is the slope of line A?

A. -4
B. 4
C. -1/4
D. 1/4

Answers

Answer:

the answer is d have a great day

Answer:

-1/4

Step-by-step explanation:

Slope formula using two points: y2-y1/x2-x1.

0-1/4-0

-1/4

3 cm 7 cm 4 cm 8 cm area​

Answers

Answer:

672 square inches

with area, multiply the side(s) by themselves for a single number, or their following numbers for more than 2 numbers.

Example

18in x 18in = 324 square inches4in x 2in x 5in x 9in = 360 square inches

hope this helps!

he number of eggs in the refrigerator e decreased by 7 equals 19.

Answers

There are 28 eggs in the fridge

What is 152 divided by 5

Answers

Answer:

30.4

Step-by-step explanation:

125/5 = 30.4

hope i could help

=30.4

Step-by-step explanation:

152/5

=30.4

Hope that helped

The bakery’s expenses and receipts will both total $_____ after ___ hours

PLEASE HELP ♡

Answers

Answer:

Expenses and receipts will total $2800 after 200 hours.

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

Explanation:

x = number of hours

Ron spends $11 an hour for operating costs. He spends 11x dollars on top of the $600 he spent on the equipment. The cost expression is 11x+600

On the flip side, Ron earns (on average) $14 an hour from the receipts or revenue. Overall, he earns 14x dollars.

Often in business applications, the owner is curious when s/he will break even. This is the point where the profit is 0 dollars, ie when cost = revenue.

So we'll set the two expressions equal to one another and solve for x.

cost = revenue

11x+600 = 14x

600 = 14x-11x

600 = 3x

600/3 = x

200 = x

x = 200

At the 200 hour mark is when Ron is likely to break even.

This x value leads to:

cost = 11x+600 = 11*200+600 = 2200+600 = 2800 dollarsrevenue = 14x = 14*200 = 2800 dollars

We get the same cost for each expression, helping to confirm that x = 200 is correct.

The bakery's expenses and receipts will total $2800 after 200 hours.

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