Mathematics High School

1. Which ordered pairs are a solution to the equation?

y = 3x - 4

options:

(4,2)


(1, -1)


(-1, -7)


(2, 2)
2.Which ordered pairs are a solution to the equation?

y = 4 - 2x
options:

(-1,2)


(0,4)


(-1,6)


(1,6)

Answers

Answer 1
For the first question the answer is (2,2) and for the second question the answer is (0,4)

Related Questions

Solve the following inequality.
-2/3x>8
A) x < - 4



B) x > - 4



C) x > -12



D) x < -12

Answers

First simplify.
[tex]-\frac{2}{3}x \ \textgreater \ \mathrm{Multiply\:fractions}:\ \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \ -\frac{2x}{3} [/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)} \ \textgreater \ \ \textgreater \ \frac{2x}{3}\ \textless \ -8[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}3 \ \textgreater \ \frac{3\cdot \:2x}{3}\ \textless \ 3\left(-8\right) \ \textgreater \ Simplify \ \textgreater \ 2x\ \textless \ -24 [/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2 \ \textgreater \ \frac{2x}{2}\ \textless \ \frac{-24}{2} \ \textgreater \ Simplify \ \textgreater \ x\ \textless \ -12[/tex]

[tex]Therefore\; x\ \textless \ -12 \;is\;our\;answer![/tex]

Hope this helps!

In the game Kazoo, teams lose one point each time they skip a turn. They earn one point each time their team guesses correctly. Maria's team skipped 888 turns. They guessed correctly 666 times.

Answers

first of all, what is the question? how many points does Maria's team have?
that would be -222 I'd guess... (+666 - 888 = - 222).

A large adult elephant weighs 24,000 pounds. A baby elephant, on the other hand, weighs only 260 pounds. How much more does the adult elephant weigh?

Answers

24,000 - 260 = 23,740

23,740 + 260 = 24,000

The adult elephant weighs 23,740 more pounds than the baby elephant.

He sells packets of sweet-pepper seeds for $2.48 each and packets of hot-pepper seeds for $4.56 each. he also offers a 16-packet mixed pepper assortment combining packets of both types of seeds at $3.65 per paket. how many packets of each type of seed are in the assortment

Answers

There are 7 sweet pepper seeds and 9 hot pepper seeds

Find the new amount given the original amount and the percent of change. $5; 10% increase

Answers

your answer would be 5.29 best one 

Which values of x will make the absolute value equation true?

|x – 4| = 7

A.
{–3, 3}
B.
{–3, 11}
C.
{–11, 11}
D.
no solution

Answers

Absolute value makes what ever is in those two vertical bars (like how x-4 is) positive. So even if what ends up coming out of those two bars is negative, it is changed to positive by the absolute value. That means x - 4 can equal -7 or 7 because after the absolute value is applied, it's will be made positive so it will equal the positive 7 on the right side of the equation. Let's solve:

x - 4 = 7 (add 4 to both sides to get x by itself)
x = 11 (one of the answers)

x - 4 = -7
x = -3 (other answer)

So the answer is { -3, 11 }
Let's check each answer choice
-----------------------------------------
Checking choice A
Plug in x = -3
|x-4| = 7
|-3-4| = 7 ... replace x with -3
|-7| = 7
7 = 7
We have a true equation so x = -3 works
--------------
Plug in x = 3
|x-4| = 7
|3-4| = 7 ... replace x with 3
|-1| = 7
1 = 7
The last equation is false so x = 3 is not a solution. We can cross choice A off the list.
-----------------------------------------
Checking choice B
We already checked x = -3 (see above in choice A). All we need to do is check x = 11
|x-4| = 7
|11-4| = 7 .... replace x with 11
|7| = 7
7 = 7
We have a true equation so x = 11 works
Since x = -3 and x = 11 work, this means we have the proper solution set {-3, 11}. So this means choice B is the final answer
-----------------------------------------
For the sake of completeness, let's check choice C. 
Plug in x = -11
|x-4| = 7
|-11-4| = 7 ... replace x with -11
|-15| = 7
15 = 7
The last equation is false so choice C can be ruled out as well.
-----------------------------------------
We can cross choice D off the list since we found there is a solution set and it is {-3, 11} back in choice B.
-----------------------------------------
Let's say that we didn't have these answer choices and it was a fill in the blank type of problem. Here's how to find the two solutions
|x-4|=7
x-4=7 or x-4=-7  ...... break up the absolute value
x-4+4=7+4 or x-4+4=-7+4 .... add 4 to each side (for each equation)
x = 11 or x = -3
x = -3 or x = 11
So the solution set is {-3, 11}
-----------------------------------------
-----------------------------------------
Final Answer: Choice B) {-3, 11}

Which Greek mathematician wrote the most definitive text on geometry, one that is still referred to today?
a.Thales
b.Pythagoras
c.Euclid
d.Archimedes
e.Hippocrates

Answers

That should be answer b, Pythagoras.

Extra information: 

Pythagoras has even constructed a famous theorem: Pythagoras' theorem; which is still used every day all over the world!

Answer:

The correct answer is Euclid.

Step-by-step explanation:

Euclid was a Greek mathematician, who is referred as the father of geometry and founder of geometry.

One of Euclid's most notable work, in the form of 'The Elements' has the strongest fundamental texts on geometry.

Apart from geometry, Euclid also developed many mathematical theories.

How can you use doubles when multiplying with 4 to find 4x8

Answers

4 = 2 * 2

Multiplying by 2 is the same a doubling.
Since 4 is 2 * 2, to multiply a number by 4, double the number twice.

Example:
What is 4 * 100?
Double 100 to get 200.
Double 200 to get 400.
Therefore, 4 * 100 = 400.
By doubling twice, we do the same as multiplying by 4.

The product of 3 and a number subtracted from 16 is 7. Find the number.

Answers

To find the number you should start by writing out an equation using x as the number you don't know. That would be 16-3x=7. You would start solving that equation by subtracting 16 from both sides, making the new equation -3x=-9. Finally, you would divide both sides by -3, giving you the answer of x=3.

how do you do this system using the equal values method?

Answers

To use the equal values method, we want to get both of these equations equal to the same thing, and then set them equal to each other. To do this, let's solve both for x:
[tex]x+2y=14[/tex]
[tex]x=14-2y[/tex]

For the second equation:
[tex]-x+3y=26[/tex]
[tex]-x=26-3y[/tex]
[tex]x=3y-26[/tex]

Then if we set these two equal to each other:
[tex]3y-26=14-2y[/tex]
[tex]5y-26=14[/tex]
[tex]5y=40[/tex]
[tex]y=8[/tex]

Then we take this y value and plug it back into either of our starting equations. I'll use the first one as an example:
[tex]x+2(8)=14[/tex]

Now just solve for x and you'll have your solution.

HELP PLEASE THANKS!!!!!

Answers

the answer is B!!! :)
The answer is C

Since your going to a power of negative, you go down as a fraction.

Since you know that 2^4 is equal to 16, you just do the reciprocal of it which is 1/16

A color printer prints 9 pages in 3 minutes. how many minutes does it take per page

Answers

9 ÷ 3 = 3
3 pages per min
3/60 seconds = .05 seconds
.05 s/ 60 = 0.00083333 min per pg.

Final answer:

To calculate time per page, divide the total printing time by the number of pages. A printer that prints 9 pages in 3 minutes takes approximately 0.333 minutes (or 20 seconds) to print one page.

Explanation:

The question is asking us to calculate the time it takes for a color printer to print one single page. To find this, we need to divide the total time taken to print multiple pages by the number of pages printed. So, if a printer prints 9 pages in 3 minutes, we can calculate the time per page as follows:

First, identify the total time taken for printing multiple pages, which is 3 minutes for 9 pages.

Divide the total minutes by the number of pages to get the time per page. In this instance, it would be 3 minutes ÷ 9 pages.

Perform the division to find the time it takes to print one page. 3 minutes ÷ 9 pages = 0.333... minutes per page.

Therefore, it takes approximately 0.333 minutes (or 20 seconds) for the color printer to print one page.

if y+1 is an even integer, what is the next consecutive even integer?

Answers

y + 1 is an even integer.

If you add an even integer by 2, you get the next consecutive even integer.

Add y+1 with 2

y + 1 + 2

= y + 3

The next consecutive even integer is y+3.

Have an awesome day! :)

The next consecutive even integer will be y + 3

What is Arithmetic Progression?

An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference between the consecutive terms is constant.

The nth term of an AP is given be aₙ = a₁ + ( n - 1 ) d

where a₁ = first term

d = common difference between terms

Given data ,

y + 1 = even integer

The next consecutive even integer can be calculated by adding 2 because the difference between two consecutive even or odd integers is always two.

Therefore , y + 1 + 2 = y + 3

Hence , the next consecutive even integer will be y + 3

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Consider the equation 2y−5x=30 . Determine the x-intercept
2 ⋅
−5x=30


−5x=30


=30

x=

Answers

Final answer:

The x-intercept for the equation 2y - 5x = 30 is found when y is set to zero and the equation is solved, resulting in the x-intercept being -6.

Explanation:

To find the x-intercept of a given equation, you need to set y equal to zero and solve for x. So, for the equation 2y - 5x = 30, you set y = 0 which leads to the adjusted equation of -5x = 30

To isolate x, you should divide both sides of the equation by -5, which gives x = -6. Therefore, the x-intercept of the equation 2y - 5x = 30 is -6.

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z varies directly with x^2 and inversely with y. When x = 2 and y = 4, z = 3. What is the value of z when x = 4 and y = 9?

Answers

Attached the solution and work.

frank averages one strike for every 4 frames that he bowls. if he bowled 48 strikes in one season how many frames did frank bowl

Answers

Frank bowled a total of 12 frames
You just divide 48 divided by 4 = 12
It also says "every" so you know to divide

Evi what to make to pottery she needs 3/5 pounds of clay for one piece and 7/10 Pound of clay for the other piece she has three bags of clay that wiegh 4/5 pound each.how many bags of clay will Eva need to make both pieces of pottery?How many pounds of clay will she have left over ?

Answers

The answer is 1.1 hope this helps.

What is the inverse of the following statement? If at first you don’t succeed, try, try again. Select the best answer from the choices provided. If you try, try again, then you did not succeed at first. If at first you succeed, then do not try, try again. If you don’t try, try again, then you succeeded at first. Try, try again if at first you don’t succeed. NextReset

Answers

Try, try again if at first you don't succeed

Answer:

Try, Try again if at first you dont

exceed

Step-by-step explanation:

Consider the function y = x^2 − 18x. Enter the values for the variables to complete the inverse

Answers

Given the equation:

y = x^2 – 18x

 

Rewrite in vertex form:

y = x^2 – 18x + (18/2)^2 – (18/2)^2

y = (x – 9)^2 – 81

 

Swap x and y:

x = (y – 9)^2 – 81

 

Solve for y:

x + 81 = (y – 9)^2

 

y – 9 = sqrt (x + 81)

y = sqrt (x + 81) + 9

or

y = (x + 81)^(1/2) + 9

Question 2
Find the next term in this arithmetic sequence: 2/3, 2, 3 1/3, ____


4 2/3


3 2/3


4


4 1/3

Answers

The answer would be 3 2/3. Hope it works out!

If m∠TRK equal 32.5°, what is m∠TSK?

Answers

The measure of angle TSK is 130°, because it is an inscribed angle that intercepts the same arc as angle TRK, and angle TRK is half the measure of the central angle that intercepts the same arc.

The correct answer is option C.

The center of the circle is S, and the measure of angle TRK is 32.5°. We want to find the measure of angle TSK.

We can use the following theorem to solve this problem:

Inscribed Angle Theorem: An inscribed angle is half the measure of the central angle that intercepts the same arc.

In other words, if an angle is inscribed in a circle and intercepts a certain arc, then the measure of that angle is half the measure of the central angle that intercepts the same arc.

In this problem, angle TRK is an inscribed angle that intercepts arc KT. Therefore, the measure of angle TRK is half the measure of the central angle that intercepts arc KT.

Let's call the central angle that intercepts arc KT θ. Since angle TRK measures 32.5°, we know that θ measures 32.5° * 2 = 65°.

Now, we can use the Inscribed Angle Theorem again to find the measure of angle TSK.

Angle TSK is an inscribed angle that intercepts arc KT, and the measure of the central angle that intercepts arc KT is 65°. Therefore, the measure of angle TSK is half the measure of the central angle that intercepts the same arc, which is 65° * 2 = 130°.

The measure of angle TSK is 130° making option C the correct option.

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The question probable may be:

The center of the circle is S. Note: Figure not drawn to scale. If mangle TRK equal 32.5 ° , what is mangle TSK ? A. 32.5 ° B. 65 ° C. 130 ° D. 16.25 °

A pilot flies 640 miles with a tail wind of 35 miles per hour. Against the wind, he flies only 455 miles in the same amount of time. Find the rate of the plain in still air

Answers

recall your d = rt, distance = rate * time.

so, we know the wind rate is 35mph.

when the pilot goes with it, it runs for say "t" hours and covers 640 miles.

when he goes against it, it runs for say also "t" hours, covering 455 miles only.

now, let's say the still air speed of the plane is "r", so when it goes with the wind, is not really going "r" mph, is really going "r + 35", because the wind is adding speed.

likewise, when it goes against it, the speed is not "r" but "r - 35", the wind is slowing it down.

[tex]\bf \begin{array}{lcccll} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\ &------&------&------\\ \textit{with wind}&640&r+35&t\\ \textit{against the wind}&455&r-35&t \end{array} \\\\\\ \begin{cases} 640=t(r+35)\implies \cfrac{640}{r+35}=\boxed{t}\\\\ 455=t(r-35)\\ ----------\\ 455=\left( \boxed{\frac{640}{r+35}} \right)(r-35) \end{cases}[/tex]

[tex]\bf 455(r+35)=640(r-35)\implies 455r+15925=640r-22400 \\\\\\ 38325=185r\implies \cfrac{38325}{185}=r\implies \cfrac{7665}{37}=r\implies 207\frac{6}{37}=r[/tex]

Right triangle ABC is shown.
a to c is 3m
c to b is a
b to a is c and ab is 50 degrees


Which equation can be used to solve for c?

sin(50o) =

sin(50o) =
cos(50o) =
cos(50o) =

Answers

it is A because the teacher gave me the answer hope y'all enjoy 

Answer:

The required equation which can be used to solve for the value of c is given by :

[tex]\bf\sin 50=\frac{3}{c}[/tex]

Step-by-step explanation:

For better understanding of the solution, see the attached figure :

AC = 3 meter

CB = a meter

BA = c meter

m∠ABC = 50°

Now, to find the value of c.

In right angle triangle right angled at C, we need to find the length of hypotenuse, so using the sine rule in the ΔABC

[tex]\implies \sin\theta=\frac{Perpendicular}{Hypotenuse}\\\\\implies \sin 50=\frac{3}{c}[/tex]

Hence, the required equation which can be used to solve for the value of c is given by :

[tex]\bf\sin 50=\frac{3}{c}[/tex]

8 cakes cost £4.00 how much do three cakes cost

Answers

Greetings!

We can solve this by creating an algebraic equation.
[tex]8/4=3/x[/tex]
Cross Multiply.
[tex]8*x=4*3[/tex]
[tex]8x=12[/tex]
Divide both sides by 8.
[tex](8x)/8=(12)/8[/tex]
The Answer Is:
[tex]x=1.5[/tex]

Three cakes would cost $1.50.

Hope this helps.
-Benjamin

Renee is a sales associate at a store . She earns 80$ a week plus 15% commission on her sales. Last week she sold 200$ worth of items . What is the total amount she earned for the week? How much did she earn from commission

Answers

She earn for the commission $110

please help with math

Answers

I did some research, and I think it's the first one. PLEASE CORRECT ME IF I'M WRONG!!
Here's why, because the first segment extends from 0 to 1. So, x has to be 0 or larger, but less than 1 or 1.

4a-3b=21 true or false

Answers

True, 
4a - 3b
4(6) - 3(1)
24  - 3  =  21

Which line has a slope of 2?

Answers

The line that has the slope of 2 is Line C.

Determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither.

Answers

Determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither. 

reflection in the x

From the graph, it is obtained that there is a reflection on the x-axis.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is obtained that, the x-coordinate of a point that is reflected across the x-axis stays constant, but the y-coordinate is assumed to be the additive inverse. The x-axis' reflection of point (x, y) is (x, -y).

The new reflected graph's reflection equation will be y=f(x) y = f (x) given an equation of the form y=−f(x) y = − f ( x ). To put it another way, the function may be simply multiplied by 1, which results in a curve that is mirrored across the x-axis.

Thus, from the graph, it is obtained that there is a reflection on the x-axis.

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Help please I don't get it...........

Answers

Answer: Choice D) the y intercept is (0,1)

--------------------------------------------
--------------------------------------------

Going through each answer choice, we find...

A. False. The graph is always decreasing (see attached image). The curve slopes downhill as you read it from left to right. 

B. False. Negative x values are allowed. Also, x = 0 is allowed.

C. False. The proper range is y > 0

D. True. Plugging in x = 0 leads to f(x) = 1. The graph in the attached image confirms this answer. The red curve crosses the vertical y axis at 1, which is the point (0,1) the y intercept in this case.

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