Mathematics College

Verify that your point from Question 2 is a solution to 2x-y=-12x−y=−1 AND is also a solution to y=5x-5y=5x−5. What does it mean if your point is a solution to both?

(The point is (2,5))

Answers

Answer 1

Answer:

(a) Verified

(b) They are simultaneous equations

Step-by-step explanation:

Given

[tex]2x - y = -1[/tex]

[tex]y =5x - 5[/tex]

Required

Verify that: [tex](x,y) = (2,5)[/tex] is a solution

We have:

[tex]2x - y = -1[/tex]

Substitute: [tex](x,y) = (2,5)[/tex]

[tex]2 * 2 - 5 = -1[/tex]

Evaluate all products

[tex]4 - 5 = -1[/tex]

Subtract:

[tex]-1 = -1[/tex]

Because both sides of the equation are equal, then the point is a solution

Also: [tex]y =5x - 5[/tex]

Substitute: [tex](x,y) = (2,5)[/tex]

[tex]5 = 5 * 2 - 5[/tex]

Evaluate all products

[tex]5 = 10 - 5[/tex]

Subtract:

[tex]5 = 5[/tex]

Because both sides of the equation are equal, then the point is a solution

Because the given point is a solution to both equations, then they are simultaneous equation

Related Questions

Some one please help!!

Answers

Answer:

$542.50

Step-by-step explanation:

What is 814 divided by 22?

Answers

Answer:

37

Step-by-step explanation:

if you put it in a calculator thats the answer

The answer is 27 I hope this helps

A cylindrical tea cup has a height of 7 centimeters, and its base has a radius of 3 centimeters. What is the volume of the tea cup
nearest tenth.

Answers

197.8

Pog Pog Pog Pog Pog

Your new car went 258 miles on 7.3 gallons of gasoline. How many miles per gallon is this? ​

Answers

The car went about 35.34 miles per gallon.(How? Divide 7.3 into 257 and you got your answer.)

7x>56 this is for math

Answers

Answer:

x>8 should be correct!

Step-by-step explanation:

56/7 = 8

Please help me!


What is the volume of the prism below?

2 3/4 units3
3 1/2 units3
5 units3
8 units3​

Answers

Answer:

Step-by-step explanation:

Answer:

3 1/2 units cubed.

1 3/4 · 1 · 2 = 3 1/2

Katy is going to select a card from the group of cards shown. What is the probability that Katy will select a card labeled 5?

Answers

Answer:

1/2

Step-by-step explanation:

well, there are 10 cards altogether

then, count how many 5's there are.

there are 5.

therefore, 5/10 or 1/2

ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 175°, what is the
measure of ZQRS?
mZQRS = [?]

Answers

Supplementary angles are any two angles that add up to 180 degrees. If angle ABC equals 175 degrees, then angle QRS should equal 5 degrees. I hope this helps.

<QRS=5°

Answer:

<ABC+<QRS=180

175+<QRS=180

<QRS=180-175=5

After interviewing 1,200 people, a Gallup Poll reports with 95% confidence that 23% of adults exercise at least 3 times a week with a margin of error of 6%. Interpret the confidence level in the context of the scenario. If we were to select many random samples of from the same population and construct a 95% confidence interval using each sample, about % of the intervals would capture the exercise.

Answers

Answer:

1. 1,200 people

2. 95

3. true proportion of adults who

Step-by-step explanation:

Find the Z-scores that separate the middle 61% of the distribution from the area in the tails of the standard normal distribution

Answers

Answer:

Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Middle 61%

Between the 50 - (61/2) = 19.5th percentile and the 50 + (61/2) = 80.5th percentile.

19.5th percentile.

Z with a pvalue of 0.195. So Z = -0.86

80.5th percentile.

Z with a pvalue of 0.805. So Z = 0.86.

Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution

According to this diagram, what is tan 62°?
62°
17
8
280
90°
15
O A.
8
17
17
B.
8
O C.
15
17
O D.
17
15
O E.
8
15

Answers

Where is the diagram???

no links please or you will be reported .

Answers

Answer:

Step-by-step explanation:

2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees.  Hopefully this is correct

Which statement is false?
O A A square is a rectangle.
OB. A square is a parallelogram.
OC. A square has exactly 4 acute angles.
0
D. A square has exactly 4 congruent sides.

Answers

The answer that is false is: C. A square has all 4 right angles.

Please give a logical reason to support this statement:

Modern technology helps businesses grow and increase its productivity.

I will give branliest, i just need this asap (yall can give me more than one answer aight)

Answers

Answer:

Modern technology allows businesses to create products and conduct their services at a faster rate and for a lower price. Because modern technology helps people to complete tasks at a faster rate, less people are needed, less mistakes occur, and more money can be earned.

Step-by-step explanation:

Janey paints a block of wood with gold glitter for an art project. The block measures 8 inches by 10 inches by 20 inches. After she's done, she decides to make two blocks by cutting through the block on the red line. She still wants each block to be covered with gold glitter

1. what is the shape of each cut surface? What are its dimensions? and what is the total area of paint she still needs to paint?

2. What is the area of each cut surface?​

Answers

Answer:

1. Square, 10in x 8in, 160in^2

2. Each surface has an area of 80in^2

Step-by-step explanation:

1. Rectangle is the shape of each cut surface which is 10in by 8 in. Since the block was already painted with glitter, she needs to paint both sides of the cut surface only, 2*8in * 10in = 160in^2.

2. Each cut will have a surface area of 10in * 8in = 80in^2

Please leave a like if this is the answer you were looking for

What is the answer to this question

Answers

Answer:

Excuse me, I believe you forgot to put your questio! To get the desired answer, I highly recommend to oost another question!

Have a great day!

Yours Truely, TheAnimeCatUwU

Step-by-step explanation:

What is the volume of the regular pyramid below?
12,12,71
A. 3408 units3
B. 852 units3
C. 10,224 units3
D. 270 units3

Answers

The answer is A hope this helps you.

Danielle has two interest rates to choose from to invest her inheritance of $5,000.

BANK A: 2.75% compounded monthly; BANK B: 3.25 compounded semi-annually

Complete Danielle's work to find the better return after 10 years.

Answers

Answer:

Bank B had the better return after 10 years.

Step-by-step explanation:

So if I buy something for $26.98 and buy something else for $6.10 what will be the Total.​

Answers

Answer:

33.08 $

I believe we add the two together and get our total !

— hope this helped :)!

What is the value of a?
45°
(2x-5)

Answers

Answer:

x=70

Step-by-step explanation:

To solve this problem, you set up the equation 45+(2x-5)=180

Next, subtract 45 from 180 to get the equation 2x-5=135

After that, add 5 to 135 to get 2x=140

Divide 140 by 2 to get X=70

[tex]2x^2+40=0[/tex]

Answers

Answer:

x^2 = -20

Step-by-step explanation:

Pleaseee helppp which one is and whyy!!!!

Answers

Answer:

c = 17(83)-17(16)=1139

Step-by-step explanation:

Can someone help me pls

Answers

Answer:

x=78

Step-by-step explanation:

q is 90 degrees since it is a right angle,

p=12

90 plus 12 =102

x=180-102

x=78

Cesium-137 has a half-life of 30 years. Find the
amount of cesium-137 left from a 100 milligram
sample after 180 years.

Answers

Answer:  

199 yr

Step-by-step explanation:

Answer:

199 years

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Which polynomial is prime? x2 – 36 x2 + 16 x2 – 7x + 12 x2 – x – 20

Answers

Answer:

B

Step-by-step explanation

ed 2020

what is the circumference of a circle with a diameter of 23.4 inches?

please hellp

Answers

Answer:

Step-by-step explanation:

Circumference = 73.51

Hope this helps :)

Answer:

Assuming that [tex]\pi[/tex] is equivalent to 3.14, the circumference of the circle is 73.476 inches.

Step-by-step explanation:

The formula for the circumference of a circle is [tex]2\pi r[/tex], or the diameter of a circle multiplied by [tex]\pi[/tex]. Because the diameter is 23.4, that means the circumference would be 23.4 * 3.14 = 73.476 inches.

The virus is already 28% loaded. If it's loading at a rate of 12% every 10 minutes, how much time do we have before it is 100% loaded? ​

Answers

you will have 40 minutes before it it’s 100% loaded

Answer:

1 hour

60 mins

Step-by-step explanation:


[tex] log_{2}(x) = - 4[/tex]
WILL GIVE BRANIEST FOR LEGIT ANSWERS WITH WORK​

Answers

Answer: x = 1/16

Step-by-step explanation:

Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.

1. log B(2) {x} = -4  || given

2. x = 2 ^ -4  || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.

3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16

Trigonometry question

Answers

Answer:

The answer would be 6.8 I believe.

Step-by-step explanation:

Step 1: You would have to find which side is the opposite , hypotenuse and adjacent to the degree. 8 is adjacent and x is the hypotenuse. Then you can use a strategy I like which is called SOH CAH TOA to find if you need to use sin, cosine, or tangent. It tells you in the acronym too how to set up the equation.

Step 2: In this case we need cosine since it is adjacent over hypotenuse (C in the acronym is for cosine A is for adjacent and H is for hypotenuse) so the equation would be Cos32= 8/x

Step 3: Then solve the equation, so you would do

8cos32=x

Put that into the calculator (I'm using a TI-84) and make sure it is in degree mode and you would get 6.78 but round that up to 6.8.

I hope this helps and that I did it right!!



5. Claude is wrapping cylindrical bug spray containers in tissue paper to put them inside a box.

Each container has a height of 12.7 centimeters and a radius of 3 centimeters.

If he is wrapping a total of 5 bug spray containers, how many square

centimeters of tissue paper will he need?

Answers

Answer:

[tex]1197.42\ cm^2[/tex]

Step-by-step explanation:

Given that,

The height of cylinder, h = 12.7 cm

The radius of the cylinder, r = 3 cm

The curved surface area of a cylinder for 5 bug spray is given by :

[tex]C=5\times 2\pi rh\\\\C=10\times \dfrac{22}{7}\times 3\times 12.7\\\\C=1197.42\ cm^2[/tex]

So, [tex]1197.42\ cm^2[/tex] of tissue papers will be needed.

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