For problems 1–4, solve the given system of equations using either substitution or elimination.

For Problems 14, Solve The Given System Of Equations Using Either Substitution Or Elimination.

Answers

Answer 1

Answer:

1. -3, -2

2. 2, -7

3. 1, 2.5

4. infinitely many solutions

Answer 2

Answer:

1. (-3,-2)

2. (1, -7)

3. (1, 2.5)

4. No solution

Step-by-step explanation:

Number 1: Substitution

Plug y in to substitute and get

2x + (2x + 4) = -8

4x + 4 = -8

4x = -12

x = -3

Then plug into the y equation

y = 2(-3) + 4

y = -6 + 4

y = -2

(-3, -2)

Number 2: Elimination

Begin eliminating by crossing out same values

40x + 12y = -44

-2y = 14

Solve for y

-2y = 14

y = -7

Solve for x

40x + 12(-7) = -44

40x - 84 = -44

40x = 40

x = 1

(1, -7)

Number 3: Elimination

Add the two and get:

-3x + 2y = 2

6y = 15

Solve for y:

6y = 15

y = 5/2

Solve for x:

3x + 4(5/2) = 13

3x + 10 = 13

3x = 3

x = 1

(1, 2.5)

Number 4: Substitution

Solving for y to begin with:

4x - y = -3

-y = -3 - 4x

y = 3 + 4x

Then solve for y in the second system

-8x + 2y = 6

2y = 6 + 8x

y = 3 + 4x

Set equal to each other

3 + 4x = 4 + 4x

3 = 4

No solution


Related Questions

Avery works approximately 2080 hours per year if she earns between $7.50 and $8.25 per hour which is the closest to her annual salary

Answers

Answer:

16,000$ is the answer

hope it helped

Find the total surface area of this cone.
Leave your answer in terms of .
24in
+10in
SA = [ ? ]in2

Answers

The total surface area of the cone in terms of pi is 360π  square inches

Total surface area of a cone is expressed as

TSA =  πr(r+l)

Given that

radius = 10in

Height = 24in

Get the slant height 'l'.

l² = h²+r²

l² = 24²+10²

l² = 576+100

l² = 676

l = 26in

Substitute the given values into the formula

TSA = pi(10)(10+26)

TSA = pi(36)(10)

TSA = 360π in²

Hence the total surface area of the cone in terms of pi is 360π square inches

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Find the value of the lesser root of x squared -7x +12 =0

Answers

Answer:

3

Step-by-step explanation:

x² -7x + 12 =0

by factoring:

(x-4)(x-3) = 0

x = 4

x = 3

3<4

Find the solution set for this equation -n 2 + 8n=0

Answers

Answer:

0 and 8.

Step-by-step explanation:

n^2+8n=0

n(-n+8)=0

-n=-8 or n=8 and n=0.

Use the data from the table to create a scatter plot Plot all the data points from the table. I really need help its due at 11:59​ HELPPP

Answers

Use gauthmath it can help with any math problem u have instead of waiting for hours on here 3EMB3R use this code to get extra tickets

Describe the function

Answers

Answer:

linear and increasing

Step-by-step explanation:

since the line still is on (0,0) it's linear. plus it's going up, which is increasing

hope i helped, tell me if you got it right! :)

Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directrix of x = -2?

Answers

Answer:

C

Step-by-step explanation:

Edge 2021

Answer:

c. (y-1)^2=-20(x-3)

Step-by-step explanation:

edge 2021

4.75% as a fraction in simplest form

Answers

Answer:  19/400

Step-by-step explanation:

4.75% = 4.75/100 (in fractions)

          = 475/10000 (multiply by 100 for both the numerator and denominator)

           = 19 / 400 (divide by 25 for both the numerator and denominator)

How do I know it is 25 for the last step?

Obtain the highest common factor of 475 and 10000. The highest common factor of these two numbers is 25.

Question
Translate the phrase into an algebraic expression, the ratio of 4p and 7y,
Provide your answer below:

Answers

9514 1404 393

Answer:

  (4p)/(7y)

Step-by-step explanation:

The ratio of 4p to 7y is another way of saying the quotient of (4p) and (7y).

  [tex]\boxed{\dfrac{4p}{7y}}[/tex]

(07.01 LC)
Which of the following values in the set below will make the equation 2x + 1 = 3 true? (Only input the number.)
{0, 1, 2, 3,4} (5 points)

Answers

Answer:

1

Step-by-step explanation:

Because 2 times 1 is 2 plus 1 is equal to 3

Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered? (A service fee is a single fee applied to the total, no matter the number of tickets purchased).

Answers

Considering the definition of a line, the linear function that represents the total cost when x tickets are ordered is c= 20.5x + 5.50.

What is a linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Total cost in this case

In this case, you know:

Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. This is, as service fee is a single fee applied to the total, no matter the number of tickets purchased, the value of "b" is 5.50.The total cost in dollars for ordering 5 tickets is $108.00

Being Total cost= set price per ticket× amount of tickets + 5.50, then:

108=set price per ticket× 5 + 5.50

108 - 5.50= set price per ticket× 5

102.5= set price per ticket× 5

102.5÷5= set price per ticket

20.5= set price per ticket

Finally, the total cost is Total cost= 20.5× amount of tickets + 5.50.

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Answer:

Its letter A

Step-by-step explanation:

Determine the value of x.

A) 2√3 B) 6√3 C) 12 D) 12√3

Answers

As the value of tan90 is undefined so

Sin60=6/hyperbola

•hyperbola=6/sin60
•hyperbola=4 √3

Now,
We know,

Hyperbola^2= Base ^2 +Perpendicular ^2
•Base(x)= √(Hyperbola^2-Perpendicular ^2)
•Base(x)=2√3

So Value of X is 2√3 (Ans.)

Correct Option: A) 2√3

Can you please help me

Answers

9514 1404 393

Answer:

x = 30°y = 20°

Step-by-step explanation:

The relevant relations are ...

the sum of the arcs of a circle is 360°an inscribed angle subtends an arc twice its measure

These give rise to two equations. (x and y are in degrees)

  6y +6y +4x = 360

  6y = 2(2x)

Substituting the latter into the former gives ...

  6y +6y +6y = 360

  y = 20 . . . . . . . . . . . . divide by 18

Then using this in the second equation, we have ...

  6(20) = 4x

  30 = x . . . . . . . . divide by 4

The measures of x and y are 30° and 20°, respectively.

For a science experiment, each student needs 5 grams of salt. If there are 26 students in the class how many milligrams of salt will they need?

Answers

The answer is 130 milligrams
130 milligrams because 5 times 26 is 130 making it 130 milligrams:3 good luck with ur science project

3. An empty bag has a weight of 400g. When 6 footballs are packed into it the total weight is
3070g. What is the weight of one football?

Answers

Answer:

Step-by-step explanation:

Weight of empty bag = 400g

Total Weight of bag = 3070g

Weight of 6 footballs packed = 3070g -400 = 2670

Weight of 1 football = 2670 ÷ 6 = 445g

7. {MCC.7.G.2} *
Which set of numbers cannot
represent the lengths of the sides
of a triangle?
A) 7, 9, 12
B) 8, 6, 7
C) 8, 20, 12
D) 10, 13, 20
O A
B
O D

Answers

If

f

(

x

)

=

2

x

4

9999999kwwkqkkaosos

14570.7 to 3 significant figures​

Answers

Answer:

14600

Step-by-step explanation:

Move the point to left and round up to 3 significant figures

What is the range of the function with the graph given below ?

Answers

The graph in the question is a parabola that opens downwards.

What is function?

A function is a block of organized, reusable code that is used to perform a single, related action. Functions provide better modularity for your application and a high degree of code reusing. As you already know, Python gives you many built-in functions like print(), etc. but you can also create your own functions. These functions are called user-defined functions.

This means that the range of the function is all real numbers less than or equal to the y-intercept of the parabola, which is 0 in this case. Therefore, the range of the function is all real numbers less than or equal to 0.

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Show that 20 subtracted by O is 20, using at least four daily life examples​

Answers

Answer:

true

Step-by-step explanation:

20 away from nothing is 20

Answer:

Step-by-step explanation:

20-0=20

Example 1: Suppose you have 20 friends and they are given the choice of choosing a sport from cricket or basketball. All of them decide to play cricket and 0 chooses basketball. So, the total number of students who decided cricket is 20 students(20-0=20).

Example 2: Suppose you have 20 chocolates and you give 0 chocolates to your sister then you have a total of 20 chocolates(20-0=20).

Example 3: Suppose there are 20 students in a class and 0 were absent out of them. So, the total number of students that were present are 20 students(20-0=20).

Example 4: Suppose you have 20 clothes in your wardrobe and you gave 0 clothes for washing. So, the total number of clothes in the wardrobe is 20 clothes(20-0=20).

Which inequality represents the situation written below?
The temperature outside today should be at least 40 degrees.

Answers

Answer:

at least 40 means minimum 40.

option G

4 less than three sevenths as an algebraic expression

Answers

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operators.

To write "4 less than three sevenths" as an algebraic expression, we can use the variable x to represent the number we are trying to find, and then use subtraction and division to represent the parts of the phrase "4 less than three sevenths".

3/7x - 4 = an algebraic expression

or

x = 3/7y - 4

where x is the unknown value and y is any given value

Both expressions are algebraic representation of the statement "4 less than three sevenths"

The triangle flap of an envelope has two sides that are 6 centimeters long and meet at a right angle. How long is the envelope? Round to the 10ths if needed.​

Answers

Answer:

Step-by-step explanation:

This is a right triangle that has two equal sides - so it is also isosceles.

It can be solved using Pythagoren Theorem.

a²  +  b²  =  c²

In this case a = b

so:  

6²  +  6²  = c²

36 +  36 =  c²

72  =  c²

[tex]\sqrt{72[/tex]  =  [tex]\sqrt{c^{2} }[/tex]

8.49 = c

round to 8.5

This is the length of the flap.

40mph in feet per secend

Answers

Answer:

58.8 feet per second

CONVERTING MPH TO FPS

If you are moving at the rate of 40MPH, how many feet do you travel in a second? At 40 miles per hour, you are traveling 58.8 feet per second. To convert miles per hour to feet per second, multiply the miles per hour figure by 1.47. There are 5280 Feet in a mile and 3600 Seconds in an hour.

1) The Cuyahoga River is 306 miles long, but boats can only travel on 134
miles of the total length. Write the ratio of the Cuyahoga's navigable length
to its total length as a fraction in simplest form.

Answers

Answer:

67/153

Step-by-step explanation:

what is the length of JL​

Answers

166.8 in (4,237 mm) (2-door) 188.4 in (4,785 mm) (4-door)

The length of a rectangle is 10 cm what is the width if the area is 60 cm

Answers

the width of a rectangle is measured at 6 cm, its length at 10 cm, and its area at 60 cm2.

what is rectangle ?

An example of a quadrilateral is a rectangle, which has four vertices that are all 90 degrees apart and parallel sides that are equal to one another. As a result, it is sometimes referred to as an equiangular quadrilateral. The rectangle is a 2D shape with 4 sides, 4 corners, and 4 right angles. The length of each pair of the diagonal sides of a rectangle is equal, with one pair being longer than the other. If all the sides of a rectangle were the same size, the shape would be referred to as a square.

given

Consequently, the rectangle has a length of 10 cm and an area of 60 cm2.

Since,

Area of a rectangle equals length times width

=60=10*breadth

width is 60/10.

= 6 cm in breadth.

the width of a rectangle is measured at 6 cm, its length at 10 cm, and its area at 60 cm2.

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On her to her grandmothers house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?

Answers

She traveled 6.375 miles by train.

What is the speed of an object?

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here as per question the formula is x × (4+3×4)=34

∴ x×16=34

       x= 6.375

Hence, She traveled 6.375 miles by train.

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0 0 1 0
0 0 0 1
Let A = 1 0 0 0
0 1 0 0
-0 0 0 1
0
0
0. Find All
0

Answers

Answer:

0

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

Pls help! Step by step

Answers

Answer:

x = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{6}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = 6[tex]\sqrt{2}[/tex]

This is the exact value for x. It may be rounded if you wish

Answer:

[tex]x=6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]

From inspection of the given right triangle:

θ = 45°A = 6H = x

Substitute the given values into the cosine trigonometric ratio and solve for x:

[tex]\implies \cos(45^{\circ})=\dfrac{6}{x}[/tex]

[tex]\implies \dfrac{\sqrt{2}}{2}=\dfrac{6}{x}[/tex]

[tex]\implies x\sqrt{2}=6 \cdot 2[/tex]

[tex]\implies x\sqrt{2}=12[/tex]

[tex]\implies x=\dfrac{12}{\sqrt{2}}[/tex]

[tex]\implies x=\dfrac{12}{\sqrt{2}}\cdot \dfrac{\sqrt{2}}{\sqrt{2}}[/tex]

[tex]\implies x=\dfrac{12\sqrt{2}}{2}[/tex]

[tex]\implies x=6\sqrt{2}[/tex]

Twelve out of Sixty students are trying out for the spring musical. What is the percentage of students trying out for the musical?​

Answers

If Twelve out of Sixty students are trying out for the spring musical, the percentage of students trying out for the musical is , 20%.

What are percentages?

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Why are percentage representations important?

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

In above question, if Twelve out of Sixty students are trying out for the spring musical, we have,

Number of students trying out for the musical = 12

Total number of students = 60

Percentage of students trying out for the musical is , [tex]\frac{12}{60} *100[/tex] = 20%

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