Solve the system of equations using substitution.

4x – y = 7
3y – 12x = –21

(3, 5)

(6, 17)

no solution

infinite solutions

Answers

Answer 1

Answer:

infinitely many solutions

Step-by-step explanation:

solve  by substitution:

solve equation 1 for y: - y = 7 - 4x; divide by -1 to simplify into y = -7 + 4x

Substitute - 7 + 4x into the second equation to obtain:

3(-7 + 4x) - 12x = -21, which yields:

-21 + 12x - 12x = -21, which simplifies 0 = 0

a result of 0 = 0 means infinite solutions such as:

(2,1), (3, 5), (4, 9), (5, 13), (6, 17)....

Answer 2

Answer:

infinite soulutions

Step-by-step explanation:

i just did it and it was right on ed2021...


Related Questions

What is the value of f(-10) if f(x) = 4x - 12?​

Answers

F(-10) means the x value in the equation is -10.

Replace x with -10 and solve:

4(-10) -12 = -40 - 12 = -52

F(-10) = -52

Answer: -52

How to: Use the given functions to set up and simplify f ( − 10 ) .

Have a great day and stay safe ! sorry if im wrong

Keiko bought 3 POUNDS of fruit salad. How many OUNCES of fruit salad did Keiko buy?

Answers

Answer:

48 ounces.

Step-by-step explanation:

:) have a good rest of your day.

Which variable will you choose to eliminate? How?
8x + 3y = -7
7x + 2y = -3?

I need to show the work Can someone please help?
Thank you

Answers

Answer:

Variable elimination 8x+3y=-7 3y=-8x-7 y=-8/3x-7/3 Now plug it into y 7x-16/3x-14/3=-3 5/3x-14/3=-3 5/3x=5/3 x=1

I NEED HELP ASAP PLEASE HELP ME

Answers

Answer:

Can't help you on an ASIT

Step-by-step explanation:

If P=(5,4), Find the image of P under the following rotation.
180° counterclockwise about the origin.
([?], [?])

Answers

Answer:

(–5 , –4)

Step-by-step explanation:

when you rotate 180° whether clockwise or counterclockwise, the value of x and y will remain the same, but you need to change the + to – and – to +

Find an equation for the inverse for each of the following relations.
4. y = x - 5

Answers

Answer:

y = x + 5

Step-by-step explanation:

We need to find the inverse of the given relation . Firstly replace x with y and then solve for y to get the inverse . We have ,

=> y = x - 5

Replacing x and y

=> x = y - 5

=> y = x + 5

Hence the Inverse of the relation is y = x + 5 .

How much water is needed to completely fill up a swimming pool with dimensions of 18 ft by 36 ft by 5 ft?

Answers

Answer:

i think 648

Step-by-step explanation:

Area = Length times width

18 times 36 = 648

But It could be 3,240

18 times 36 times 5

Change the decimal 5.4 to a percent. [make sure you include the % sign in your answer]

Answers

Answer:

5.4 as a percent is 540%

Hope I helped! :)

Answer:

I think the answer is 525%

In Exercises, we present descriptions of designed experiments. In each case, identify the
a. experimental units.
b. response variable.
c. factor(s).
d. levels of each factor.
e. treatments.
Oat Yield and Manure. In a classic study, described by F. Yates in The Design and Analysis of Factorial Experiments (Commonwealth Bureau of Soils, Technical Communication No. 35), the effect on oat yield was compared for three different varieties of oats and four different concentrations of manure (0, 0.2, 0.4, and 0.6 cwt per acre).

Answers

Answer:

Experimental unit = Oat

Response variable = Oat yield

Factors : Oat varieties ; Manure Concentration

Level of factors :

Oat = 3 levels

Manure concentration = 4 levels

Step-by-step explanation:

The experimental unit in this scenario is Oat, as it is the material or entity which we wish to research or learn about.

The response variable is what we intend to measure about the experimental unit, which is the yield of oat.

Factors here are the varieties of oat and the concentration of Manure which are the entities responsible for changes in the output or behavior of the dependent variable.

Level of factors : the different varieties of the factor variable, we have three Oat levels and 4 different Manure concentration levels.

Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.

If she spent $36 in all, what was the original cost of a shirt?

Answers

Answer:

OMG

Step-by-step explanation:

I had the same question

Answer:

$10.79

Step-by-step explanation:

x =  original cost of one t shirt

We can build this equation

x - (20/100) x + 3x- 5 = 36

-1/5x + 4x = 41

-x + 20x = 205

19x  = 205

x = $10.79

Plz I need your help

Answers

The mode is 87 degrees.

will give 50 point privetely if correct and show work
Ms. White invests $ 2000 in a savings plan. The savings account pays an annual interest rate of 5.75 % on the amount she puts in at the end of each year. How much will be in her savings plan at the end of 10 years?

Answers

Answer:

The solution is 2000 + 0.0575*2000*10 = 3150 dollars at the end of 10 years.

Step-by-step explanation:

Explain how your process for solving life’s problems is similar or different from solving math problems.

Answers

Answer:

in life problem I solve in my head and not on paper. I enter life's problems calmly and carefully know I can solve them but in math I erase and cry and almost tear my paper apart. someone else can solve your math problem but not your life problem.

PLEASE HELP I DON’T UNDERSTAND

Answers

Answer:

yea I don't understand either kid, it's upside down.

Step-by-step explanation:

Find the numbers of faces, edges, and vertices of the solid.
number of faces:
number of edges:
number of vertices:

Answers

Answer:

# of faces:7

# of edges: 15

# or vertices: 10

Answer:

7 10 15

Step-by-step explanation:

SOMEONE SMART PLEASE HELP ME!! a rectangle's area is 336 mm Its height is 16 mm. What is its bases?​

Answers

Answer:

The base of the rectangle is 21 mm.

Step-by-step explanation:

Given that a rectangle's area is 336 mm, and its height is 16 mm, to determine what is the measure of its base, the following calculation must be performed, knowing that the area of a rectangle arises from multiplying its base by its height:

16 x X = 336

X = 336/16

X = 21

Therefore, the base of the rectangle is 21 mm.

Please help!! Math

What is the missing value of the missing angle?

A. 43*
B. 133*
C. 90*
D. 47*

Answers

The answer will be D 47

Helppppp pleaseeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

6.3

Step-by-step explanation:

Two sides are 9.6 meters long. The perimeter is 31.8 meters.

31.8-9.6-9.6=12.6 the remaining two sides.

12.6/2=6.3 represents the lengths of the other twp sides.

Answer:12.2

Step-by-step explanation:31.8-(9.6x2)=12.2

If x= 2/3 and x = – 3 are roots of the quadratic equations ax2 + lx + b = 0, find the values of a and b.

Answers

Answer:

Step-by-step explanation:

ax² + 7x + b

Substituting 2/3 in equation

4a/9 + 14/3 +b = 0

4a/3 + 14 + 3b = 0

4a + 42 + 9b = 0 ------> (i)

Substituting -3 in equation

9a - 21 + b = 0

81a - 189 + 9b = 0 ------> (ii)

Elimination method

a = 3

substituting in any equation

b = -6

You are going to estimate how long a person holds down a button on their calculator by randomly selecting people and asking them to do something on your calculator (which has a special timer to record how long the enter button is pressed). You practiced on the people at work and found a standard deviation of about 0.37 seconds. You want to get a 94% confidence interval that is only 0.06 in width. How many people do you need to have in your study

Answers

Answer:

You need to have 538 people in your study.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.94}{2} = 0.03[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.03 = 0.97[/tex], so Z = 1.88.

Now, find the margin of error M as such

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

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

You practiced on the people at work and found a standard deviation of about 0.37 seconds.

This means that [tex]\sigma = 0.37[/tex]

You want to get a 94% confidence interval that is only 0.06 in width.

This means that [tex]M = \frac{0.06}{2} = 0.03[/tex]

How many people do you need to have in your study?

This is n for which M = 0.03. So

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

[tex]0.03 = 1.88\frac{0.37}{\sqrt{n}}[/tex]

[tex]0.03\sqrt{n} = 1.88*0.37[/tex]

[tex]\sqrt{n} = \frac{1.88*0.37}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.88*0.37}{0.03})^2[/tex]

[tex]n = 537.6[/tex]

Rounding up:

You need to have 538 people in your study.

if the sum of x and 3 is ten ,what is the value of x​

Answers

Answer: 7

Step-by-step explanation:

[tex]x+3=10 \\ \\ x=7[/tex]

The regular quadrilateral pyramid has a base edge b=7 cm and the height of the pyramid h=12 cm. Find the volume of the pyramid.

Answers

Answer:

V=196 cm cubed

Step-by-step explanation:

Formula: 1/3 Base * Height

Base = 7*7 = 49

49 * 12 = 588

588 * 1/3 = 196

There you go :)

what directed number is suggested by the statement "I gained 3 pounds "?​

Answers

Answer:

The directed number suggested is +3.

Step-by-step explanation:

A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.

From the given question, let the initial weight be represented by W, then:

I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.

i.e I gained 3 pounds ⇒ W + 3

So that the directed number suggested by the statement is +3.

Karen, Janet, Brian, and José ran for class president.
José received 35% of the vote and Janet received 24%.
What percentages could Brian and Karen have received?

NO LINKS !!!

A. 45% and 26%
B. 25% and 16%
C. 30% and 21%
D. 35% and 36%

Answers

The correct answer is b

Which choice is equivalent to the quotient shown here for acceptable values of x?
√8^2 ÷ √3x
PLEASE NO LINK ANSWERS

Answers

Answer:

A) [tex]\sqrt{8x/3}[/tex]

Step-by-step explanation:

[tex]\sqrt{8x^{2} } /\sqrt{3x}[/tex]

[tex]\sqrt{8x^{2}/{3x}[/tex]

[tex]\sqrt{8x/3}[/tex]

Therefore, A is correct

Start at the origin. Move 2 units right and 8 units up. What is the ordered pair for this point? pls help ASAP​

Answers

Answer: (2,8)

Step-by-step explanation:

The origin is the point (0,0), so when you move two units right you land on the x-value of 2. From there you then add 8 units, putting you at the y-value of 8. Therefore, you end with the point (2,8) after this translation.

The profit, P, realized by a company varies directly as the number of products it sells. If a company makes a profit of $7800 on the sale of 325 products, what is the profit when the company sells 5000 products?
A.80000
B.100000
C.120000
D.60000​

Answers

Answer:

C) 120,000

Step-by-step explanation:

Let's use fractions.

7800 = x

---------- -------- . 325 5000 What we are going to do is multiply 325 times x and 7800 times 5000 . 7800 times 5000 equals 39,000,000. 325 times x equals 325x. The reason why we put the info this way is because we are trying to find the profit for a certain number of products . If we were trying the number of products we would put 5000 on top and the x on the bottom of the fraction the n croos multiply but this is not the case.

39,000,000 = 325x

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

325 325

Next, we are going to divide 325 on both sides to get x ( in this case x equals the answer) by itself.

39,000,000 /325 = 120,000

325x / 325 = x

x = 120,000

Please helppppppppppppppppppp

Answers

Answer:

50 feet

Step-by-step explanation:

Perimeter is the sum of all of the lengths of the sides.

A triangle has three sides, and three lengths are given, therefore all the sides are given.

The sum of the sides is 20 + 20 + 10 = 50

So the Perimeter is 50 feet

Answer:50

Step-by-step explanation:20+20+10=50

Ronnie's Rentals
charges $25 plus $15 per hour to rent a
chain saw. David rented a chain saw for
5 hours. Write an expression to show how
you could calculate the total amount
David paid.
191

Answers

Answer:

P = 25 + (15)n

Total amount paid by David = $100

Step-by-step explanation:

Given:

Fixed cost of renting chain saw =  $25

Variable cost of renting chain saw =  $15 per hour

Time taken = 5 hour

Find;

Total amount paid by David

Computation:

Assume;

Total amount paid by David = P

Time taken = n

So,

P = 25 + (15)n

P = 25 + (15)(5)

P = 25 + 75

P = 100

Total amount paid by David = $100

PLEASE HELP!!!

Identify the axis of symmetry and the vertex on the graph given. Type your answer in the boxes provided.

Answers

A. axis of symmetry
B. x-intercepts
C. vertex
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