Use the substitution method to solve the system of equations. Choose the correct ordered pair.

Use The Substitution Method To Solve The System Of Equations. Choose The Correct Ordered Pair.

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

Answer:

The answer is D or (10,-9)

Step-by-step explanation:

Since y is already given (and you have to use the substitution method) substitute y into one of the equations. So you should have something like this:

-2x+11=3x+21

After that merely solve for x which should get you x=10. After you get your x value plug 10 in either (of the original) equation and your y value should be -9. For example if you chose y=-2x+11 you should have y= -2(10)+11. In the end your answer should be (10,-9).

If you want to check your work merely plug your answer into both equations (ex: -9=-2(10)+11 --> -9=-9), therefore you know your answer is correct).

Hope this helped!


Related Questions

slopes of the line parallel and perpendicular to y=32x-1

Answers

Answer:

see below

Step-by-step explanation:

This is in slope intercept form

y = mx+ b  where m is the slope and b is the y intercept

32 is the slope

Parallel lines have the same slope so 32 would be the slope of  the parallel line

Perpendicular lines have slopes that multiply to -1

m*32 = -1

m = -1/32

The slope of the perpendicular line is -1/32


2(3x + 1) - (x - 5) = 42

Answers

Answer:

6x+2-1x+5=42

Step-by-step explanation:

Answer:

6x+2-x-5=42

Step-by-step explanation:

PLEASE HELP ASAP! If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4?

Answers

Answer:

12

Step-by-step explanation:

Hello, as the coefficient of the leading term is negative we know that the vertex of the parabola is a maximum. So we need to find the vertex.

This expression is maximum for

[tex]t=-\dfrac{b}{2a} \text{ where the parabola equation is}\\\\ax^2+bx+c=0[/tex]

So, here, it gives t = 8/2=4, and then, the maximum is

[tex]-4^2+8*4-4=-16+32-4=32-20=12[/tex]

So the answer is 12.

Thanks

Find the value of x.

Answers

Answer:

x = 20

Step-by-step explanation:

Intersecting Chords Theorem: ab = cd

Step 1: Label our variables

a = x

b = x - 11

c = x - 8

d = x - 5

Step 2: Plug into theorem

x(x - 11) = (x - 5)(x - 8)

Step 3: Solve for x

x² - 11x = x² - 8x - 5x + 40

x² - 11x = x² - 13x + 40

-11x = -13x + 40

2x = 40

x = 20

Answer: x=20

Step-by-step explanation:

[tex]ab=cd[/tex]

[tex]x(x - 11) = (x - 5)(x - 8)[/tex]

[tex]x^2 - 11x = x^2 - 13x + 40[/tex]

[tex]x^2 - 11x = x^2 - 8x - 5x + 40[/tex]

[tex]-11x = -13x + 40\\2x = 40\\x = 20[/tex]

Jacob’s age is two years more than the sum of the ages of his siblings Becky and Micah. Which equation represents Jacob’s age? A. z = x + y − 2; x represents Micah's age, y represents Becky's age, and z represents Jacob's age B. x = y + z + 2; x represents Jacob's age, y represents Micah's age, and z represents Becky's age C. x = 2 + y + z; x represents Becky's age, y represents Jacob's age, and z represents Micah's age D. y = x + z − 2; x represents Jacob's age, y represents Becky's age, and z represents Micah's age

Answers

The equation that represents Jacob's age is  x = y + z + 2

From the question, the following information was provided :

Jacob's age is two years more than the sum of the ages of his siblings Becky and Micah.

This above information can be represented with the equation below

Jacob = 2 + ( Becky + Micah) (equation 1)

If :

x represents Jacob's age

y represents Micah's age

z represents Becky's age

Equation 1, can be rewritten as x = y + z + 2

Micah's age can be determined by making Micah the subject of the formula in the above equation

Micah = Jacob - Becky - 2   (equation 2)

If :

x represents Micah's age

y represents Becky's age

z represents Jacob's age

Micah's age can be rewritten as :

x = z - y - 2

Becky's age  age can be determined by making Becky the subject of the formula in the first equation.

Becky = Jacob - Micah - 2 (equation 3)

If:

x represents Becky's age

y represents Jacob's age

z represents Micah's age

Equation 3 can be rewritten as :

x = y - z - 2

Check here for a related question : https://brainly.com/question/21843246?referrer=searchResults

Using a system of equations, it is found that the correct equation is given by:

[tex]x = y + z + 2[/tex], which is option B.

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

Jacob's age is given by x.Becky's age is given by y.Micah's age is given by z.Considering that Jacob's is 2 years older than Becky's and Micah's combined, which is of y + z, his age is represented by the following equation:

[tex]x = y + z + 2[/tex]

Which is given by option B.

A similar problem is given at https://brainly.com/question/24233433

A point P has coordinates (-8, -2). What are its new coordinates after reflecting point P across the x-axis?

Answers

Answer:

(-8,2)

Step-by-step explanation:

This is because when you reflect a point across the x-axis, the x-coordinate fo the point remains the same and the y-coordinate's sign gets switched.

(x,y) --> (x,-y)

(-8,-2) --> (-8,2)

The population of a town increases 10% every 3 years if the present population is 72600 calculate its population after 6 years and 6 years ago

Answers

Answer:

After 6 years = 87120 people.

Before 6 years = 5808 people.

Step-by-step explanation:

To calculate how many populations that are added in every 10% in 3 years:

72600 × 10/100 = 7260

After 6 years = 72600 + 7260 × 2 = 87120 people.

Before 6 years = 72600 - 7260 × 2 = 5808 people.

Which statement is false? Question 4 options: All whole numbers are integers. All natural numbers are whole numbers. All real numbers are irrational numbers. All whole numbers are real numbers.

Answers

All real numbers are irrational numbers is false

Answer:

C

Step-by-step explanation:

Not all real numbers are irrational.

Solve.

-7(2z + 4) = 21

Answers

Answer:

-7/2

Step-by-step explanation:

cuz thats right

-14z - 28 = 21
-14z = 49
z = -7/2

There is a zombie outbreak in a city that infects 10 people right away. Each of the 10 zombies are able to infect 2 people every minute. How many people are infected in 8 minutes?

Answers

160 people infected in 8 min

If y varies directly as x and z, and Y=40 when x =5 andz = 4, find y when x=2 and z = 1



Pls answer it ASAP

Answers

Answer: When x=2 and z = 1, then the value of y =4.

Step-by-step explanation:

Given: y varies directly as x and z i.e. [tex]y\ \alpha \ xz[/tex]

[tex]y=k(xz)[/tex]      (i) , where k is the proportionality constant.

Put  Y=40 ,x =5 and z = 4, then we get

[tex]40=k(5\times4)\\\\\Rightarrow\ k=\dfrac{40}{20}\\\\\Rightarrow\ k=2[/tex]

Required equation: [tex]y=2(xz)[/tex]  [Put value of k in (i)]

Now put x=2 and z = 1, then we get

[tex]y=2(2\times1)=2(2)=4\\\\\Rightarrow\ y=4[/tex]

Hence, when x=2 and z = 1, then the value of y =4.

Find n. A. 5 B. 5√3 C. 10 D. 10√3/3

Answers

Answer:

Option A

Step-by-step explanation:

Using trigonometry ratios

tan∅= opp/adj

tan 30°=n/(5√3)

1/√3 = n/(5√3)

n = (5√3)/√3

n = 5

Help with this find the image of (1 ,2) after a reflection about y=x followed by a reflection about y=-x

Answers

Answer: (-1, -2)

Step-by-step explanation:

so at first you have (1, 2)

then you were asked to reflect about y=x which is (x, y) = (y, -x)

(1, 2) = (2, -1)

then followed by y=-x which is (x, y) = (-y, -x)

(2, -1) = (-1, -2)

I hope this helps!

Sylvia burns 6 calories per minute when she runs, How many calories does she burn when
she runs for 15 minutes?

Answers

Answer: 90 calories

15 x 6 = 90

Read the following statements. The sum of the angle measures of a triangle is 180°. Two angles of a triangle measure 40°and
60", so Juan concludes that the third angle measures 80°. What do you notice about the how the conclusions were made from
the statement above?

Answers

Answer:

what number must be added to sum of two angles that the sum of three angles become 180.

Since sum of two angles is 100 , 80 must be added to 100 to make it equal to 180.

Step-by-step explanation:

Given

sum of measure of angle of triangle = 180°

given two angles 40°and  60°

Let the third angle be x°

thus

40°+  60°+x° = 180°

100°+x° = 180°

x° =  180°- 100° =  80°

Thus, third angle measure 80°

She must have sum the first two known angles.

as given sum of three angles are 180

she must have assumed other angle to be x

then sum of all three angles must be 180

now to find third angle she subtracted sum of two known angles to find third angle.

other way can what number must be added to sum of two angles that the sum of three angles become 180.

Since sum of two angles is 100 , 80 must be added to 100 to make it equal to 180.

A rectangular box with a square base contains 24 cubic feet. if the height of the box is 18 inches, how many feet are there in each side of the base?

Answers

Answer:

4

Step-by-step explanation:

V = Lwh

the volume (given) = 24 ft^3

the height (given) = 18" = 1.5'

24 = L*w*1.5

divide both sides by 1.5

16 = Lw

You need to find the number of feet in each side of the base

since the box has a square base

L = W

AND, found above, L*w = 16

so 4*4= 16

Answer - 4

solving polinomial(2x+8)(2x-1)​

Answers

Answer:

4x²+14x-8 ( multiplying)

x=-4 , x=1/2 ( find solution)

Step-by-step explanation:

(2x+8)(2x-1)​

start :

2x*2x=4x²

2x*-1 = -2x

8*2x=16x

8*-1=-8

add the results  : 4x²-2x+16x-8 = 4x²+14x-8

If you mean find the solution :

(2x+8)(2x-1)​=0

2x+8=0

x=-8/2=-4

OR 2x-1=0

then x=1/2

Answer:

=4x2+14x−8

Step-by-step explanation:

(2x+8)(2x−1)

=(2x+8)(2x+−1)

=(2x)(2x)+(2x)(−1)+(8)(2x)+(8)(−1)

=4x2−2x+16x−8

=4x2+14x−8

I hope this helps! :]

*PLEASE ANSWER, MAKE SURE YOU ANSWER CORRECTLY* What dimensions would you need to measure the volume of the following prism?

Answers

Answer:

base of the triangle, height of the triangle, height of the prism.

Step-by-step explanation:

The formula for calculating the volume of the right triangle prism above is given as [tex] base area * height of prism [/tex].

The base is a right triangle. Area of the right triangular base = ½*base*height of the triangle.

Therefore, the dimensions needed to find the volume of the prism are: "base of the triangle, height of the triangle, and height of the prism.

Answer:

The guy above me is correct its base of the triangle, height of the triangle, height of the prism

Step-by-step explanation:

I also got it correct on my quiz.

1. Find the slope of a line passing through points (0,0) and (4,5)
o 4/5
5/4
4/9
5/9
Option 5

Answers

Answer:

slope = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (4, 5)

m = [tex]\frac{5-0}{4-0}[/tex] = [tex]\frac{5}{4}[/tex]

Answer:

The answer is 5/4

Step-by-step explanation:

Slope of a line is given by

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

where

m is the slope and

( x1 , y1) and (x2 , y2) are the points of the line

Slope of the line between the points

(0,0) and (4,5) is

[tex]m = \frac{5 - 0}{4 - 0} = \frac{5}{4} [/tex]

Hope this helps you


[tex]15 \times 94 - 89 \div 5[/tex]

Answers

1410-89/5
1410-17.8= 1392.2

Bill’s car gets 30 miles to the gallon. For every gallon of gas it consumes, his car runs 30 miles. Use this information to determine whether this relation is a function
write a equation for the number of miles Bill travels, y, in terms how much gas it uses, x.

Answers

Answer:

Step-by-step explanation:

No. of miles driven in 1 gallon = 30 miles.

since we have to distance traveled in miles.multiply LHS and RHS by x

No. of miles driven in 1*x gallon = 30*x miles.

No. of miles driven x gallons = 30*x = 30x miles

As given that

the number of miles Bill travels is represented by y

gas used is x

then

y = 30x

=> x = y/30

Thus, Bill's car uses y/30 gallon gas to travel Y miles.

Answer:

Part a: Bill’s car travels 30 miles per gallon of gas. If y represents the number of miles the car travels on x gallons of gas, the equation that represents this situation is y = 30x.

Part b:       gallons of gas (x) miles (y)

                                    1         30

                                    2        60

                                    3        90

Part c: There is no x-value that would lead to multiple y-values.

Part d: Yes, y = 30x is a function, because for every input, or x-value, there is only one output, or y-value.

Step-by-step explanation:

edmentum answers 100% correct

Given quadrilateral MATH is similar to quadrilateral ROKS calculate the value of MH Picture is below

Answers

Answer:  MH = 7

=====================================================

Explanation:

The double tickmarks for quadrilateral MATH show that MA = TH. Since TH is 5 units long, this makes MA the same length as well.

For quadrilateral ROKS, we have RO = 15. For "MATH" and "ROKS" we have "MA" and "RO" as the first two letters of each four-letter sequence; meaning that MA and RO correspond together.

The ratio of the corresponding segments is RO/MA = 15/5 = 3.

The larger quadrilateral has each side length 3 times longer than the smaller quadrilateral's corresponding side lengths.

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

In short,

larger side = 3*(smaller side)

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

Using this scale factor of 3, we can find MH

larger side = 3*(smaller side)

RS = 3*(MH)

21 = 3*MH

3*MH = 21

MH = 21/3

MH = 7

how many are 3 raised to 2 ???​

Answers

Answer:

[tex]\huge \boxed{9}[/tex]

Step-by-step explanation:

3 raised to 2 is 3 to the power of 2.

[tex]3^2 =3 \times 3 = 9[/tex]

3 is multiplied by itself.

What is the relationship between the area of ABCD and the area of EFGH? Quadrilateral ABCD with side measures 18 for AB, 24 for BC; quadrilateral EFGH with side measures 6 for EF, x for FG The ratio of the area of ABCD to the area of EFGH is 1:9. The ratio of the area of ABCD to the area of EFGH is 3:1. The ratio of the area of ABCD to the area of EFGH is 1:3. The ratio of the area of ABCD to the area of EFGH is 9:1.

Answers

Answer:

The ratio of the area of ABCD to the area of EFGH is 9:1.

Step-by-step explanation:

Let us assume that the shapes are rectangles and they are similar. If the two shapes are similar then their sides are in the same proportion. Therefore the ratio of the sides are in the same proportion.

[tex]\frac{AB}{BC}=\frac{EF}{FG}\\ \\\frac{18}{24}=\frac{6}{x}\\\\18x=24*6\\ \\x=\frac{24*6}{18}=8[/tex]

The area of ABCD = AB × BC = 18 × 24 = 432

The area of EFGH = EF × FG = 6 × 8 = 48

The ratio of the area of ABCD to the area of EFGH = Area of ABCD / Area of EFGH = 432 / 48 = 9/1 = 9 : 1

Gamal is buying ham and turkey to make sandwiches for a party. At most, he can spend $50, and he must buy more than 8 pounds of meat to make enough sandwiches. The ham costs $6 per pound, and the turkey costs $7 per pound. He writes the system of inequalities shown to model h, the number of pounds of ham, and t, the number of pounds of turkey, he can buy.

Inequality 1: h + t > 8

Inequality 2: 6h + 7t ≥ 50

Which inequality did Gamal write incorrectly, and how can it be corrected?

Inequality 1 is incorrect; it should be h + t ≤ 8.
Inequality 1 is incorrect; it should be h + t > 50.
Inequality 2 is incorrect; it should be 6h + 7t ≤ 8.
Inequality 2 is incorrect; it should be 6h + 7t ≤ 50.

Answers

Answer:

its d  

Step-by-step explanation:

6h + 7t should be less than or equal to 50 because that is all the money he has to spend

Answer:

Inequality 2 is incorrect; it should be 6h + 7t ≤ 50.

Step-by-step explanation:

Inequality 1: h + t > 8  this is correct we need more than 8 lbs of meat

Inequality 2: 6h + 7t ≥ 50

This is incorrect.  This states he must spend 50 or more dollars

6h + 7t ≤ 50

This is 50 or less dollars being spent

Find the domain for the rational function f of x equals quantity x plus 1 end quantity divided by quantity x minus 2 end quantity.

(−[infinity], 2) (2, [infinity])

(−[infinity], −2) (−2, [infinity])

(−[infinity], 1) (1, [infinity])

(−[infinity], −1) (−1, [infinity])

Answers

Answer:

[tex](- \infty, 2), (2, \infty)[/tex]

Step-by-step explanation:

Given the function:

[tex]f(x) = \dfrac{x+1}{x-2}[/tex]

To find:

Domain of the function.

Solution:

First of all, let us learn about definition of  domain of a function.

Domain of a function is the valid input values that can be provided to the function for which output is defined.

OR

Domain of a function [tex]f(x)[/tex] are the values of [tex]x[/tex] for which the output [tex]f(x)[/tex] is a valid value.

i.e. The function does not tend to [tex]\infty[/tex] or does not have [tex]\frac{0}0[/tex] form.

So, we will check for the values of [tex]x[/tex] for which [tex]f(x)[/tex] is not defined.

For value to tend to [tex]\infty[/tex], denominator will be 0.

[tex]x-2\neq 0 \\\Rightarrow x \neq 2[/tex]

So, the domain can not have x = 2

Any other value of x does not have any undefined value for the function [tex]f(x)[/tex].

Hence, the answer is:

[tex]\bold{(- \infty, 2), (2, \infty)}[/tex]     [2 is not included in the domain].

Question 5 of 10
Which type of unemployment is characterized by a worker looking for a job
when there is no reason that he or she should not find one?
A. Structural unemployment
B. Seasonal unemployment
C. Frictional unemployment
D. Periodic unemployment

Answers

I think the answer has to be C. Frictional unemployment

PLEASE HELP!!!!!! URGENT!!!!!!!!! ALGEBRA! Hannah, Yu, and Becky went to buy groceries together. All three of them bought pasta, noodles, and split peas. Hannah bought 3 packs of pasta, 10 packs of noodles, and 2 packs of split peas. Yu bought 5 packs of pasta, 12 packs of noodles, and 1 pack of split peas. Becky bought 3 packs of pasta, 15 packs of noodles, and 2 packs of split peas. Hannah, Yu, and Becky spent $8.41, $9.42, and $9.66 respectively on these items. What are the costs of a pack of pasta, a pack of noodles, and a pack of split peas? A) Pasta: $0.69 per pack, Noodles: $0.25 per pack, Split peas: $0.99 per pack B) Pasta: $1.09 per pack, Noodles: $0.20 per pack, Split peas: $1.97 per pack C) Pasta: $0.99 per pack, Noodles: $0.25 per pack, Split peas: $1.47 per pack D) Pasta: $0.69 per pack, Noodles: $0.20 per pack, Split peas: $1.97 per pack

Answers

Answer: C

Step-by-step explanation:

The costs of a pack of pasta, a pack of noodles, and a pack of split peas are Pasta: $0.99 per pack, Noodles: $0.25 per pack, Split peas: $1.47 per pack

Given that f(x)=2x+1 and g(x)=-5x+2 slice for f(g(x)) when x=3?

Answers

Answer:

x = -25.

Step-by-step explanation:

If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.

f(g(x)) = -10x + 5, and x = 3.

-10 * 3 + 5

= -30 + 5

= -25.

Hope this helps!

Solve for b. 2/3 b + 5 = 20 - b

Answers

Answer:

b = 9

Step-by-step explanation:

Step 1: Add b on both sides (Addition Equality)

5/3b + 5 = 20

Step 2: Subtract 5 on both sides (Subtraction Equality)

5/3b = 15

Step 3: Divide both sides by 5/3 (Division Equality)

b = 9

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When presenting solutions, Chris (a salesperson)often has to handle buyer resistance. Chris should think of buyer resistance as a(n)___________ event.A) NegativeB) UnimportantC) PositiveD) A buyer initiated challenge (BIC)E) Show stopper Me need big brain to answer this question c: What was a result of the use of chemical weapons during World War I?Tanks and aircraft were developed to counter the effects of chemical weapons.Trenches were used to protect soldiers from chemical weapons in battle.Many nations agreed to stop using chemical weapons after World War I.Doctors developed treatments that made chemical weapons obsolete. Which statement belongs in the middle of the sequence? Borrowing money was harder due to higher costs. Prices of goods increased in order to increase profits. Workers lost their jobs because businesses had less need for them. More workers were hired as businesses increased production. The pygmy shrew is the smallest mammal in North America. However, when comparing the amount offood eaten to its body weight, the pygmy shrew eats more food than any other mammal. It willconsume two to three times its own body weight in food daily. One explanation is that the pygmyshrew uses energy at a high rate. In fact, its heart beats over one thousand times per minute.What is the best explanation for what happens to the food's mass and energy when it is consumed bythe pygmy shrew?A. The mass is mostly excreted as waste. Theenergy is burned up and destroyed by thepygmy shrew's high rate of cellular respiration.B. The mass is all used for creating new mass ingrowth. The energy is stored, used in cellularrespiration, or lost to the environment as heat.C. The mass is used for growth, stored, or excretedas waste. The energy is stored, used in cellularrespiration, and lost to the environment as heat.D. The mass is used for growth, stored, or excretedas waste. The energy is burned up anddestroyed by the shrew's high rate of cellularrespiration According to Swiss-German immigrant Johannes Hanner in his 1769 letter home, the colony of Pennsylvania: a. placed high taxes on the few who managed to purchase land. b. allowed only Puritans to hold elected office. c. offered few opportunities for work. d. was a free country with abundant food. the ancient history of the Americas is not as easily understood as that of India and China because Multiple Choice we know of the peoples only from their artifacts. there were more varieties and numbers of cultures in the Americas. written records were not kept. All these answers are correct.