Are (1,1.5) and (12,4) solutions to the equation y=1/4x+5/4

Answers

Answer 1

Answer:

The first set is a solution, the second is not.

Step-by-step explanation:

Testing by filling in the numbers into the equation:

(1, 1.5): x=1, y=1.5

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] · 1 + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{6}{4}[/tex]

⇒ 1.5 =? 1.5  ⇒ Correct: is indeed solution to the equation

(12, 4): x=12, y=4

⇒ 4 =? [tex]\frac{1}{4}[/tex] · 12 + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{12}{4}[/tex]  + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{17}{4}[/tex] ⇒ Incorrect: this is not a solution for the equation


Related Questions

Зx — 6 = 3х – ?
-6
6
З
-3
0

Answers

Answer:

3x--666667666666666666666666666666

Sean wants to spend (example) $100 on clothing and he wants to purchase 6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
a. What is the system of equations that represents this situation?

b. Can he buy 2 pair of pants and 4 shirts?

c. Show the solution graphically.

Please answer quickly!

Answers

A: I do not understand.

B: Yes

C: 2 pair pants is $40. 4 pair shirts is $60. $60 + $40 = $100

PLEASE HELP!! The figure below shows a line graph and two shaded triangles that are similar:

A line is shown on a coordinate grid. The x axis values are from negative 10 to positive 10 in increments of 2 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 6, negative 3, and 0, 0, and 6, 3. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled O to 4, 2 labeled A, one leg is from 0, 0 to 4,0, and the second leg is from 4,0 to 4, 2. Another shaded right triangle is formed with the hypotenuse is from 4, 2 to 6, 3 labeled B, one leg is from 4, 2 to 6, 2, and the second leg is from 6, 2 to 6, 3.

Which statement about the slope of the line is true?

It is fraction 1 over 2 throughout the line.
It is 2 throughout the line.
The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.
The slope from point O to point A is 2 times the slope of the line from point A to point B.

Answers

The slope of the line of the graph is given by the ratio of the change in y-

coordinates to the change in the x-coordinates of the line.

The statement that is true about the slope of the line is; it is  [tex]\dfrac{1}{2}[/tex] throughout

the line.

Reasons:

The given parameter are;

The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)

Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)

Points on the leg of the right triangle = (0, 0) to (4, 0)

Points on the second leg of the right triangle = (4, 0) to (4, 2)

Second right triangle;

Points on the hypotenuse = A(4, 2) to B(6, 3)

One leg of the right triangle extends from (4, 2) to (6, 2)

Second leg extends from  (6, 2) to (6, 3)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]

[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]

Therefore;

The slope is [tex]\dfrac{1}{2}[/tex] throughout the line

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Work out the value of R
Give your answer in standard form to an appropriate degree of accuracy.

Answers

Step-by-step explanation:

R = x²/y

Substitute

R = (4.8×10⁵)²/2.8×10⁴

= 4.8²×10¹⁰/2.8×10⁴

= 23.04×10¹⁰/28000

Solve the slope for the table.

Answers

Answer:

5

Step-by-step explanation:

Change in Y / Change in X = Slope

5/1 = 5

solve the equation: 4) 12
Ani2n 12)
417
Step 1: Use the distributive property
Step 2: Subtract n from both sides
63
41
Step 3: Simplify:
311
Step 4: Divide both sides by 3
301
3
Step 5: Simplify.
Check the solution to the example problem by replacing
z in the original equation with - 2 and evaluating both
sides. What true statement do you get?
to climinate the fraction in

Answers

Answer:

not clear enough

Step-by-step explanation:

Find the perimeter, in feet, of the rhombus.

32 feet
60 feet
34 feet
68 feet

Answers

Answer:

68ft

Step-by-step explanation:

The formula of a perimeter of a rhombus:

P = 4a

a - length of side

We have a = 17ft

P = 4 · 17ft = 68ft

A right triangle is formed using point C and H as two of the vertices. Which point best represents the coordinates for point X, the third vertex of a triangle?

Answers

Answer:

um probably something like CX and HX

Step-by-step explanation:

no graph

A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be modeled as harmonic motion. If the weight is displaced a maximum of 6 cm, find the modeling equation if it takes 4 seconds to complete one cycle. Be to show, illustrate and explain your work.

Answers

The motion of the mass as it moves on the bottom of the spring is a

repetitive motion.

[tex]\mathrm{The \ motion \ of \ the \ mass \ attached \ to \ the \ spring \ is \ }\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]

Reasons:

The general form of the equation of the simple harmonic motion of the

mass is d = a·sin(ω·t)

Where;

d = The distance of the mass from the rest position

a = The maximum displacement of the mass from the equilibrium position = 6 cm

ω = The frequency of rotation

t = The time of motion

ω = The frequency of rotation

[tex]\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}[/tex]

Where;

T = The time to complete one cycle (the period of oscillation) = 4 seconds

[tex]\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}[/tex]

Combining the above values gives the modelling equation as follows;

[tex]\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]

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I need help please brainliest to correct answer
NO BOTSSSS PLEASEEEE
Also if you want fr33 p0!ints go answer my last question

Why are various creative works split up into different types under copyright law?


Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?


What kinds of artists benefit the most from creative commons licenses? Explain your answer.


Why is it useful for students to practice the MLA and APA citation methods?


What kinds of art works can be considered remixes or mashups? Explain your answer.

Answers

Answer:

1. The nature of creative work is that it can take almost any form, so the scope of the copyright law was drafted in such a way to take that into account. The categories that works can potentially be protected in are so wide that it’s difficult to imagine what types of creative work are not protected.

2.Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?

3.The Benefits of Using a Creative Commons License Numerous high-profile authors (including futurist Cory Doctorow), artists, musicians (such as the rock band Nine Inch Nails), and even government agencies and entities (including the White House) use Creative Commons licenses. You’ll find many more case studies on the Creative Commons site.

Step-by-step explanation:

Answer:

What kinds of artists benefit the most from creative commons licenses? Explain your answer.

Every license helps creators, they are called licensors if they use our tools  retain copyright while allowing others to copy, distribute, and make some uses of their work  at least non-commercially. Every Creative Commons license also ensures licensors get the credit for their work they deserve.

please help and show work​

Answers

Answer:

When solving a rational equation, start by grouping or canceling out like terms. So cancel out x on the numerator and denominator of 2+7x/x. While the equation itself results in a contradictory statement - 5=9, the first step to figuring this out would be canceling out x.

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

81 x² - 4 y²

Answer C is correct.

Step-by-step explanation:

First, you have to find the area of the larger square.

Area of the larger square = (9x) × (9x)

                                          = 81 x²

Then you have to find the area of the un shaded square,

Area of the unshaded square = (2y) × (2y)

                                                  = 4 y²

Now to find the area of shaded region you have to subtract the area of the unshaded square from the area of the larger square.

Area of the shaded region = Area of the larger square - Area of the unshaded square

                                            = 81 x² - 4 y²

Hope this helps you.

Let me know if you have any other questions :-)

Simplify the expression.
I NEED HELP PLEASE!!!

Answers

Answer:

-27/64p^3  

Tell me if you want a step by step. :)

x-2y > -8
x + y >1
A. (-5,3)
B. (0,5)
C. (3,-5)
D. (4,0)

Answers

Answer:

A. (-5,3)

Honestly, that is pretty much it and uh.Yeah

300
O
3) What is the value of x?
69'
7090
7100
3D

Answers

Answer:

71°

Step-by-step explanation:

exterior angle = sum of two opposite interior angle

142°=2x°

x°=142°/2

x°=71°.

hope this helps you.

y = 147° ( Vertically opposite angles)

[tex]y + x + x = 180° \\ 147 + 2x = 180° \\ 2x = 180 - 147 \\ 2x = 33 \\ x = \frac{33}{2} \\ x = 16.5[/tex]

Quadrilateral LKMN is similar to quadrilateral OPQR. Find the measure of side OP. Round your answer to the nearest tenth if necessary.

Answers

Answer:

The answer is 12.6

Step-by-step explanation:

See the solution in the picture.

“a fraction f multiplied by 13 equals 29.

Answers

Answer:

29/13

Step-by-step explanation:

The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.

15 points. PLZ HELP!!! Slope intercept Form. Will mark Brainliest!!1

Answers

Y=16x
The b is 0 so no need to put it in the equation.
The slope is 16/1 which is 16
y= 4x , y intercept is 0 because it crosses the y-axis at 0,0

what is the vertex of the parabola -2=3(x+3)^2?

Answers

Answer:

P(-3 , -2)

Step-by-step explanation:

3/10y - 2/5 i need to find the coefficient and i dont know how

Answers

[tex] \frac{3}{10y} - \frac{2}{5} = \frac{3 - 4y}{10y} [/tex]

In a school egg drop challenge, 68 of the eggs broke out of 100 total. What percent of the eggs survived the drop?

Answers

68% did not make it
so 32%did ?

BRAINLIEST
Please help only three questions

Answers

Answer:

5. x=21.9 units

6. x=14 units

7. x=31.7 units

Step-by-step explanation:

5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units

6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x

7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7

Good Luck!

Answer:

Step-by-step explanation:

5.

So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.

So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.

x² = 20² + 9²

x² = 400 + 81

x² = 481

x = [tex]\sqrt{481}[/tex]

x =~ 21.93

x = 21.9

6.

Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:

y² = 19² - 17²

y² = 361 - 289

y² = 72

y = [tex]\sqrt{72}[/tex]

y =~ 8.48

x = 31 - (2 * 8.48)

x = 31 - 16,96

x = ~14,04

x = 14.0

phân tích đa thức thành nhân tử 8x^2+16xy

Answers

Answer: 8x^2+16xy= 8x(x+2y)

Justine and Kate are training for a race.
At every training session Justine runs x miles and Kate runs 3 more miles than Justine.
In one week, Justine and Kate both train every day.
In the 7 days they run 63 miles in total between them.
How many miles do Justine and Kate each run per day?

Answers

Answer:

Justine runs 3 miles a day and Kate runs 6 miles a day.

Step-by-step explanation:

x = number of miles ran in a day

x(7) + (x+3)(7) = 63

7x + 7x + 21 = 63

14x + 21 = 63

14x = 42

x = 3

3 + 3 = 6

Justine runs 3 miles a day and Kate runs 6 miles a day.

What are the types of polygons?

Answers

Answer:

Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon and Decagon

Answer:

1.Regular Polygons.

2.Irregular Polygons.

3.Concave Polygons.

4.Convex Polygons.

5.Trigons.

6.Quadrilateral Polygons.

7.Pentagon Polygons.

8.Hexagon Polygons.

Step-by-step explanation:

What is the answer to 4y/y?

Answers

Answer:

4

Step-by-step explanation:

[tex]\frac{4y}{y}[/tex] = 4 because the variable y on the numerator and the denominator can cancel out.

Daniella has 130 baseball cards. She buys new cards to her collection every month. Which arithmetic sequence describes the number of cards in her collection?

Answers

Answer:

a1=130;an=an−1+10

Step-by-step explanation:

The answer is the third one.

She starts with 130

a1 = 130

She adds 10 every month.

So you take the number she had last month (represented by a_n-1) and adds 10.

Answer

a1 = 130

an = an_1 + 10

C

If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?

Answers

Answer:

48 grapes,

Step-by-step explanation:

Firstly, let's sum up the ratio,

6+6+12=24

The fraction of grapes is therefore, 6÷24 or ¼

A ¼ of 192 is 48.

Signifying, there are 48 grapes.

A cheerilee teen willing to help,

stay positive, safe and Brainly!

Question:-

If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?

Answer:-

48 grapes

Explanation:-

look at the attached picture :)

A recipe calls for 15 cup of milk for every 28 cup of flour. If Kenny wants to double the recipe, how many cups of flour will he need?

Answers

Answer:

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

well if the recipe is 28 cups of flower, and he wants to double it, Then its 56, the milk is extrenuis info.

Please help me The point D,E,F and G all lie on the same segment, in that order, such that ratio of DE:EF:FG is equal to 4:1:4. If DG=36, find EG

Answers

Answer:

4+1+4+g=36

g=27

dg=32

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

DE : EF : FG = 4 : 1 : 4

DG = 36

DG = DE + EF + FG

-> 4x + x + 4x = 36

9x = 36

x = 4

so EG = EF + FG

= x + 4x

= 5x

= 20

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