PLEASE HELP! WILL UPVOTE!
Which ordered pair is the solution to the system of equations?

{2x−y=−5
{x+3y=22

(7, 19)
(4, 9)
(8, 21)
(1, 7)

Answers

Answer 1
Just "plug n chug" as my teacher would say. In other words, replace the letters with the values. 

Choice A is (7,19) which means x = 7 and y = 19. Let's replace the x and y value with these numbers in both equations. If we get a true equation, then we found the answer. 

2x-y = -5
2*7-19 = -5
14-19 = -5
-5 = -5 ... true
So that works. Let's try the other equation
x+3y = 22
7+3*19 = 22
7+57 = 22
64 = 22 ... false 
So choice A is NOT the answer because of this. Let's try out choice B
2x-y = -5
2*4-9 = -5
-1 = -5 ... false
so B doesn't work either. How about C? 
2x-y = -5
2*8-21 = -5
-5 = -5 ... that works
x+3y = 22
8+3*21 = 22
71 = 22 ... but this is false
So D has to be the answer. Let's check to confirm or not
2x-y = -5
2*1-7 = -5
-5 = -5 ... true
x+3y = 22
1+3*7 = 22
22 = 22 ... true
BOTH equations are true at the same time so (1,7) is definitely the final answer



Related Questions

Choose the function that is a “parent function”.

ƒ(x) = x + 3
ƒ(x) = (x - 3)2
ƒ(x) =
ƒ(x) = |x - 3|

Answers

I believe it is F(x)=x+3

Answer:

F(x)=x+3

Step-by-step explanation:

What is the value of x in the following equation:6x+2x=24 ?
A.2

B.3

C.9

D.7

Answers

B.
First you add 6x+2x which is 8x.
Then you divide 8 to both sides.
Your answer is x=3.

Please help! Find the value of C such that each expression is a perfect-square trinomial.

p^2-30p+c


k^2-5k+c

Answers

for ax^2+bx+c
when a=1
take 1/2 of b and square it
that is what c should be ideally

p^2-30p=c
-30/2=-15
(-15)^2=225
c=225
(p-15)^2 is factored form


k^2-5k+c
-5/2
(-5/2)^2=25/4
c=25/4
factored form is (x-5/2)^2

What are some positive integer and a negative integer?

Answers

Whole numbers greater than zero are called positive integers. Whole numbers less than zero are called negative integers. The integer zero is neither positive nor negative, and has no sign. Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line.

ex. -10+-2 would be a negative integer you just add them and keep the sign 
 
Hopes this helps if you have more question just hmu and ask :)

Answer:

Positive Integers                                             Negative Integers

Are to the Right of zero                               Are to the left of zero

Are valued greater than Zero                      Are valued less than zero

Express Ideas of up , a gain or                     Express Ideas of down or a

a profit                                                               loss

The "+" is not always needed                        The "-" is always needed

Step-by-step explanation:

Hope it Helps

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

Answers

3(x-4)>5x+2

3x-12>5x+2

Subtract 2

3x -10 > 5x

Subtract 3x

2x -10

divide 2

x=-5

Answer:

Step-by-step explanation:

B) -5

The sum of two consecutive even integers is 234. What is the larger integer?

A. 114
B. 116
C. 118
D. 124

Answers

If the two integers are even and consecutive, then the only two numbers you could have that add to 234 under those constraints is 116 and 118. Since 118 is the bigger of the two, c is the answer.

Answer: 118. I took the test

Step-by-step explanation:

Choose 2 axioms that allows 22 + (m + 8) to be written as m + 30
a) commutative - addition
b) distributive
c) associative - multiplication
d) symmetric
e) commutative - multiplication
f) associative - addition
g) identity - addition

Answers

commutative for addition

22+(m+8)=(m+8)+22 then associative (m+8)+22=m+(8+22) =m+30

Answer:

commutative - addition

associative - addition

Step-by-step explanation:


The period of f(x)=cos (2pi/3)x is ...?

Answers

Well lets see. if you're  being specific about the rigor,  then the period means that cos(2Π÷3(x+α))=cos(2Π÷3(x))Therefore this gives 2π÷3α=2πso α = 3.
Hope this can help you

What is the area of this face ?

Answers

Answer: The area of the face is 15 sq. in.

Step-by-step explanation:  We are given to find the area of the yellow-coloured face in the figure.

The area of the coloured face is equal to the area of one face of a cube of side 4 in MINUS the area of one face of a cube of side 1 inch.

The area of one face of a cube of side 4 in is given by

[tex]A=\textup{area of a square of side length 4 in.}=4\times 4=16\textup{ sq. in.}[/tex]

and the area one face of a cube of side 1 in is given by

[tex]a=\textup{area of a square of side length 1 in.}=1\times 1=1\textup{ sq. in.}[/tex]

Therefore, the area of the coloured face will be

[tex]Area=A-a=16-1=15\textup{ sq. in.}[/tex]

Thus, the area of the face is 15 sq. in.

The area of the face which is indicated in the figure is 15 in².

Use the concept of quadrilateral defined as:

Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.

For big cube:

length of sides = 4 in

Area of one face = 4x4 in²

Area of one face = 16 in²

For small cube:

length of sides = 1 in

Area of one face = 1x1 in²

Area of one face = 1 in²

Since we can see that

The area of one face of a small cube coincides with the face of the big cube.

Therefore,

We have to remove the area of one face of the small cube from the big cube,

So, the area of the face indicated in the figure is,

(16 - 1) in² = 15 in²

Hence,

The area of the required face is 15 in²

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Use the three steps to solve the problem.

A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a half later an "Express" train leaves the station and travels at an average rate of 56 mph on a parallel track. How many hours after it starts will the Express overtake the Local?

Answers

The rate that train 1 is going plus the distance:

35x+52.5

The rate that train 2 is going plus the distance:

56x+0

X=number of hours

Solve for X to find where the 2 trains have gone the same distance:

35x+52.5=56x
52.5=21x
2.5=x

The express train will overtake the local train 2 and a half hours after it leaves

Answer:

It will take 2.5 hours

Step-by-step explanation:

Earl pours 1/3 of a bottle of juice into his glass. Roberto pours 1/3 of the remainder into his glass. What fraction of the bottle of juice is left?

Answers

1/3 is left. 1/3 +1/3=2/3. 3/3-2/3=1/3

R u kidding me ? xD .....
only 1/3 left...

Alex wants to have $3000 in his bank account after 4 years. If the account earns 6% interest compounded 2 times per year, how much should he put in?

Answers

A=p(1+i/k)^kn,,3000=p(1+0.06/2)^2*4==2,368.23

solve |x + 7| = 12

a. {-19, -5}

b. {-5,19}

c. {-19,5}

d.{5,19}

Answers

for
|a|=b
assume
a=b and a=-b

|x+7|=12

assume
x+7=12 and x+7=-12
minus 7 both sides
x=5 and x=-19

C is answer
When solving absolute value equations, you must account for both the positive and negative cases.

x+7 = 12       AND        x+7 = -12
x = 5                               x = -19

. If you saved $2.00 on january 1, $4.00 on february 1, $8.00 on march 1, $16.00 on april 1, and so on. how much money would you save in one year?

Answers

$4096 

$2.00^12 

12 months in a year, doubles every month

By following a pattern of doubling the saved amount each month, the total amount saved in one year would be approximately $8190.00.

Use the concept of geometric sequence defined as:

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding words. This ratio is regarded as one of the geometric sequence's frequent ratios.

Amount saved on January 1: $2.00

Amount saved on February 1: $4.00

Amount saved on March 1: $8.00

Continuing the pattern, the saved amount on April 1 would be $16.00

Since it can be seen that,

The pattern is that the saved amount doubles each month.

Therefore,

To calculate the total amount saved in one year,

Sum up the amounts for each month.

In this case, it would be

$2.00 + $4.00 + $8.00 + $16.00 + $32.00 + $64.00 + $128.00 + $256.00 + $512.00 + $1024.00 + $2048.00 + $4096.00 = $8190

Hence,

The saved amount in one year is $8190

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How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answers

1\2+3\7=
7\14+6\14=13\14
1-13\14=1\14
1/14th should be the correct answer.

Drag each equation to show if it could be a correct first step to solving the equation 2(x+7)=362(x+7)=36.

Answers

Step 1- Divide both sides by 2
x + 7 = 362/2
Step 2- Simplify 362/2 to 181
x + 7 = 181
Step 3- Subtract 7 from both sides
x = 181 - 7
Step 4- Simplify 181 - 7 to 174.
Answer: x = 174

Two Tibetan monks are having a race along a straight path. They both start at the same time, and the race ends in a tie. Prove that at some time during the race the two monks have exactly the same speed.

Answers

This is so provided that the velocity changes continuously in which case we can apply the mean value theorem. 
Velocity (v) is the derivative of displacement (x) : 
v = dx/dt 
Monk 1 arrives after a time t* and Monk 2 too. 
Name v1(t) and v2(t) their respective velocities throughout the trajectory. 
Then we know that both average velocities were equal : 
avg1 = avg2 
and avg = integral ( v(t) , t:0->t*) / t* 
so 
integral (v1(t), t:0->t*) = integral (v2(t), t:0->t*) 
which is the same of saying that the covered distances after t* seconds are the same 
=> integral (v1(t) - v2(t) , t:0->t*) = 0 
Thus, name v#(t) = v1(t) - v2(t) , then we obtain 
=> integral ( v#(t) , t:0->t*) = 0 
Name the analytical integral of v#(t) = V(t) , then we have 
=> V(t*) - V(0) = 0 
=> V(t*) = V(0) 
So there exist a c in [0, t*] so that 
V'(c) = (V(t*) - V(0)) / (t* - 0) (mean value theorem) 
We know that V(0) = V(t*) = 0 (covered distances equal at the start and finish), so we get 
V'(c) = v#(c) = v1(c) - v2(c) = 0 
=> v1(c) = v2(c) 
So there exist a point c in [0, t*] so that the velocity of monk 1 equals that of monk 2. 

A farmer grows two types of grain in his fields. He has a seed budget of $15,000.00 and has spent $5,800.00 to plant wheat seed so far. If barley seed costs $53.00 per acre to plant, what is the maximum number of acres of barley the farmer can plant and still be under budget?
A.283 acres
B.109 acres
C.173 acres
D.174 acres

Answers

The answer to the question is C.173

Answer:

The answer is option D.

Step-by-step explanation:

Total seed budget is = $15000

Amount paid for wheat seeds = $5800

So, amount left is = [tex]15000-5800=9200[/tex]

Now, lets suppose the number of acre of land to be planted by barley seeds be = x

Barley seed costs = $53 per acre.

This means for 53x acres $9200 will be used.

Therefore, [tex]x=\frac{9200}{53}[/tex] = 173.58 acres ≈ 174 acres

how do you write (negative Infinity, 8)or (10, Infinity) as inequality?

Answers

x<8 or x>10 Are you just wanting this answer as an inequality?

Find the weighted average of these values

Value Weight
5.00 75.0 %
6.00 15.0 %
7.00 10.0 % ...?

Answers

Final answer:

To find the weighted average of given values, multiply each value by its weight, sum the results, yielding a weighted average of 5.35.

Explanation:

The question is asking to find the weighted average of given values with their corresponding weights. To calculate a weighted average, each value is multiplied by its weight, and then the results are summed up. The formula used is \(Weighted\ Average = (Value_1 \times Weight_1) + (Value_2 \times Weight_2) + \cdots + (Value_n \times Weight_n)\).

Applying the given values and weights:

\(5.00 \times 75.0\% = 3.75\)\(6.00 \times 15.0\% = 0.90\)\(7.00 \times 10.0\% = 0.70\)

Summing the results: \(3.75 + 0.90 + 0.70 = 5.35\).

Therefore, the weighted average of these values is 5.35.

The weighted average of the item is 5.35 weight units

The steps used to find the weighted average are as follows;

The weighted average is a technique or method used to find the average of a list of items, where the contribution of each item to the sum of the measurements are different or proportional to a specified measurement of the quantity

The mass and percentage by weight of the items indicates that we get;

The contribution of the item with a value of 5.00 is; 5 × 75% = 3.75

The contribution of the item with a value of 6.00 is; 6 × 15% = 0.9

The contribution of the item with a value of 7 is; 7 × 10% = 0.7

The weighted average of the substance is therefore; 3.75 + 0.9 + 0.7 = 5.35

Round 37.82 to the nearest tenths place.

Answers

Given that the number next to the right of the tenth digit is smaller than 5, it does not change.

Answer: 37.8

Calculate the length of the circumference of a circle with diameter 6.2cm use pi = 3

Answers

The circumference of the circle with diameter 6.2 cm, using (pi) equal to 3, is calculated as 18.6 cm using the formula C = (pi)d.

The question asks to calculate the length of the circumference of a circle with a diameter of 6.2 cm, using an approximate value for (pi) as 3. To find the circumference of a circle, the formula C = (pi)d is used, where C is the circumference and d is the diameter. Since we are provided with the diameter (6.2 cm) and an approximate value for
(pi) as 3, the calculation is straightforward.

Using the formula,

C = (pi)dC = 3 * 6.2 cmC = 18.6 cm

Thus, the circumference of the circle is 18.6 cm.

Sam Monte deposits $21,500 into Legal Bank which pays 6 percent interest that is compounded semiannually. What will Sam have in his account at the end of 6 years?

Answers

=P(1+r)twhere P is the principal, r is the rate (over the compounding period, expressed as a decimal), and t is the number of periods to compound over.

its A=P(1+/n)^nt

The elimination method is useful when you can eliminate one of the variable terms from an equation by adding or subtracting another equation. True or False

Answers

The answer is True. Hope this helps :)

When a diagonal is drawn in a rectangle, what is true of the areas of the two triangles into which it divides the rectangle?

They are called?

Answers

Each diagonal divides the rectangle into two congruent right triangles. Because the triangles are congruent, they have the same area.

Answer:

They would be Equal

Step-by-step explanation:

if we split a rectangle into two triangles it would be the same triangle just flipped!

Which answer describes the type of sequence?

−99, −88, −66, −55, ...

A. arithmetic

B. neither arithmetic nor geometric

C. geometric

Answers

Here, Geometric ratio, r = -88/-99 or -66/-88 which is 8/9 or 6/8. As they are not equal, it is not a geometric.

Now, Arithmetic difference, d = -88-(-99) or -66-(-88) which is 11 or 22. As they are not equal, it is not a Arithmetic.

So, it's neither an Arithmetic nor a Geometric.

Option B is your answer!

Hope this helps!

Answer:

b

Step-by-step explanation:

took the test thx to the other answer thought it deserved 5 starts good luck

An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Round your answer to the nearest tenth.

Answers

Radius r = 3inches
Arc A = 8 inches

We need formula that connects lenght of arc with central angle. That one is fallowing one:

A = 2*r*pi*α/360   where α is central angle. we can see that if α=360, A = 2*r*pi which is exactly the formula for parimeter of circle.

Further more we can express 360 in radians which is 2* pi and get

A = r*α as simpler formula

α = A/r = 8/3 = 2.66666667 ≈ 2.7

what are the steps to solve
7x − 1/2 (8x + 4) = 6

Answers

We simplify the equation to the form, which is simple to understand
7x-1/2(8x+4)=6
Simplifying:
7x-0.5*(8x+4)=6
Reorder the terms 
7x+(-4x-2)=6
Remove unnecessary parentheses
+7x-4x-2=+6
We move all terms containing x to the left and all other terms to the right.
+7x-4x=+6+2
We simplify left and right side of the equation.
+3x=+8
We divide both sides of the equation by 3 to get x.
x=2.66666666667
1) distribute -1/2
7x - 4x -2 = 6
2) combine like terms
3x - 2 = 6
3) use the addition properties of equality
3x = 8
4) use the division properties of equality
x = 8/3

How many 1.4 meter sections of rope can be cut from a length of rope 6 meters long?

Answers

8.4 you mupitly 1.4*6 you will get this answer plz mark brainlest 

We can cut a total of 4 sections of 1.4 meters through 6-meter long rope.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

Length of rope = 6 meter

Length of section = 1.4 meter

Number of sections = Length of rope ÷ Length of section

Number of sections = 6/1.4 = 4.28 since 0.28 part is not complete section so we will not consider it.

Hence "We can cut a total of 4 sections of 1.4 meters through 6-meter long rope".

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a square with a side length of x+6 has the same perimeter as an equilateral triangle with a side length of 4x. what is the area of the square

Answers

First equate the perimeters:
4(x+6) = 3(4x)

Distribute:
4x +24 = 12x

Solve for x:
8x = 24
x = 3

Sub in x=3 into x+6 to find length of side:
3+6 = 9

Find Area of square:
Area = 9*9 = 81
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