What is the solution of the system of equations shown below?

y = –x + 3
y = 4x – 2

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

[tex]y=-x+3~~.....(i)\\\\y = 4x-2~~....(ii)\\\\\text{Substitute}~ y = -x+3~ \text{in equation (ii):}\\\\\\-x+3 = 4x-2\\\\\implies 4x +x = 3+2\\\\\implies 5x = 5\\\\\implies x = \dfrac 55 =1\\\\\\\text{Substitute x= 1 in equation (i):}\\\\y= -1 +3 = 2\\\\\text{Hence}~ (x,y)=(1,2)[/tex]


Related Questions

I need is the answer of please
thank you

Answers

Answer:

39.2m

Step-by-step explanation:

The ratio would be 14/20 which is 0.7. So, you would take 56 and multipy it by 0.7 to get 39.2.

Answer:

39.2

Step-by-step explanation:

ok so you are given 2 triangles that are proportional

the 20 m side and the 56 m side go together

so this leaves 14 and L

so the ration is 2.8

multiply 14 by 2.8 and you get 39.2

help me with this math question

Answers

the answer is 13 i just put it in the calculator

Answer:

Its Answer is 13

Step-by-step explanation:

2y + 3 (x - y) + x2

Select all relations that represent function

Answers

Answer: All of the them except for the last relation.

Step-by-step explanation: For a relation to be a function, it can have y-values repeat but not x-values. In the last relation, you have (6,-6,), (-3,12), (6,-1), (-8,13). Notice that the x-value of 6 repeats 2 times in this relation. You can graph this relation and use the vertical line test  and you will notice that it will touch the graph more than one time. Therefore, relations 1-4 represents functions and relation 5 does not.

Hope this explanation helps.

-10 + = -3 I need help

Answers

Answer:

the answer is

7

Step-by-step explanation:

why is it 7 it is cause -10+7=3

Answer:

7

the answer is 7 because -10+7=-3

Acellus
Find the circumference of this circle
using 3 for n
C ~ [?]
3
C = 270
.

Answers

We can use 2x3x3. (2 x pi x radius)
This gives us 18. C=18

A 14​-oz iced tea at a certain restaurant has 140 calories. How many calories are there in a 22​-oz iced​ tea?

Answers

Answer:

220 calories

Step-by-step explanation:

Cross multiply and then divide:

[tex]\frac{14}{22}= \frac{140}{x}[/tex]

140 x 22 = 3080

3080 / 14 = 220

1/100 = ?/? x 1/1000

Answers

Answer:

10 or 10/1

Step-by-step explanation:

1/1000 * 10= 0.01 = 1/100

[tex]\sf \sqrt{12} \times \sqrt{12}[/tex]

Answers

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]\sqrt{12} \times\sqrt{12}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0[/tex]

[tex]\sqrt{12}\sqrt{12}=12[/tex]

[tex]=12[/tex]

The value of [tex]\sqrt{12} * \sqrt{12}[/tex] is equal to 12

To solve this problem, we have to convert the surds to radicals and then use the law of indices on this.

[tex]\sqrt{12} * \sqrt{12}= 12^\frac{1}{2} * 12^\frac{1}{2}[/tex]

Addition Law of Indices

This law is given as

[tex]a^m+a^n = a^(^m^+^n^)[/tex]

let's substitute the values in this question.

[tex]12^\frac{1}{2}*12^\frac{1}{2}[/tex]

Let's apply the law and solve the radical

[tex]12^\frac{1}{2}*12^\frac{1}{2} = 12^(^\frac{1}{2}^+^\frac{1}{2}^)\\[/tex]

Solve the fractions

[tex]\frac{1}{2}+\frac{1}{2}=1[/tex]

substitute the values and solve

[tex]12^\frac{1}{1}=12[/tex]

from the calculations above, the value of the radical is 12.

Learn more on laws of indices here;

https://brainly.com/question/10339517

Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and b Not-equals 1? log Subscript x Baseline x StartFraction log Subscript b Baseline x Over log Subscript b Baseline a EndFraction StartFraction log Subscript b Baseline a Over log Subscript b Baseline x EndFraction StartFraction log Subscript a Baseline b Over log Subscript x Baseline b EndFraction StartFraction log Subscript a Baseline x Over log Subscript b Baseline x EndFraction.

Answers

The expression that can be used to approximate the expression below is[tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]

Given the logarithmic function expressed as [tex]log_a x[/tex], we need the log expression that is equivalent to the given expression.

To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;

[tex]log_a x = \frac{log_{10}a}{log_{10}x}[/tex]

This is similar to the option c where the base of "b" was used as [tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]

Learn more on law of logarithms here: https://brainly.com/question/11587706

Answer: C

Step-by-step explanation:

If you don't want to read it all

Name an angle adjacent to FGI
JGI

HGJ

DGE

HGE

Answers

Answer: JGI

Step-by-step explanation:

An adjacent angle are angles that share a vertex and side. FGI and JGI share the vertex G and the segment GI

Have a good day!

1.5 cm 1 30 cm 15 cm 20 cm Calculate the volume of the box using the external measurements.​

Answers

It is 3.50 cm……………….

Help Me On These 3 Please

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{6}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{4}{6}[/tex] ) ≈ 41.8° ( to the nearest tenth )

(2)

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{29}{14}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{29}{14}[/tex] ) ≈ 64.2° ( to the nearest tenth )

(3)

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{25}{40}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{25}{40}[/tex] ) ≈ 51.3° ( to the nearest tenth )

Use the picture below to answer the question. The measure of angle 3 is 50 degrees. What is the measure of angle 6?

Answers

angle 6=50degrees
reason: alternate interior angles

Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile

Answers

Answer:

The second one. 30 minutes ÷ 6 miles.

Step-by-step explanation:

You want to find how long it took Jamaal to run one mile.

30 minutes ÷ 6 miles = 5 minutes.

So Jamaal can run one mile in 5 minutes.

Option B, 30mins/6miles

Hot Dog!
Moderate
Previous
If it costs a total of $9 to buy 1 hot dog and 2 bottles of water and it costs a total of $22 to buy 3 hot dogs and 4
bottles of water, how much does a single bottle of water cost?

Answers

Answer:

$2.50

Step-by-step explanation:

1h + 2w = 9

3h + 4w = 22

Multiply the first expression x 3

3h + 6w = 27

Subtract the 2 equations

3h + 6w = 27

3h + 4w = 22

2w = 5, w = 2.5

Help. Match each equation with its corresponding graph.

Answers

17 = C, 19 = B and 18 = A

Answer:

y = [tex]\frac{3}{2}[/tex]x-3 ; Graph C

2x + 6y = -6 ; Graph A

y = [tex]\frac{1}{2}[/tex]x + 2; Graph B

I really need help
Help please (40 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent

Answers

Answer:

See answer below

Step-by-step explanation:

R3:  If parallel lines, then alternate interior angles is congruent

S4:  AC ≅ AC

R5:   ASA

What is differentiation ?

Answers

Answer:

differentiate

for example what is difference between this and that

[tex]Differentiation \: is \:  a \\ method \: of \: finding \: the \\ derivative \: of \: a \: function. \\ Differentiation \: is \: a \\ process, \: in \: Maths, \: where \\ we \: find \: the \: instantaneous \\ rate \: of \: change \: in \: function \\ based \: on \: one \: of \: its \: variables. \\ The \: most \: common \: example \\ is \: the \: rate \: change \: of \\ displacement \: with \: respect \: to \\ time, \: called \: velocity.[/tex]

Your friend has prepared his monthly budget and asks you if he has overlooked anything in this planning. Which of the following questions points out his most serious omission? A 2-column spreadsheet showing Cash Inflows and Cash Outflows. Cash inflows are Disposable income 4,165 dollars, interest on savings 0 dollars, income from stocks 50 dollars, with total cash inflow 4,215 dollars. Cash outflows are mortgage 1,000 dollars, homeowner's insurance 60 dollars, car payment 373 dollars, car insurance 125 dollars, stock purchases 200 dollars, life and health insurance 150 dollars, retirement plan 500 dollars, utilities 235 dollars, cable/phone 160 dollars, groceries 600 dollars, recreation 550 dollars, with total cash outflow 3,953 dollars. a. What if your income from stocks is lost? b. What if you need to go to the doctor? c. What if the electric bill increases? d. What if you need to replace the furnace? Please select the best answer from the choices provided A B C D

Answers

Answer:

Yes its D

Step-by-step explanation:

Correct on edg. 2021

The question that points out his most serious omission from the monthly budget preparation is d. What if you need to replace the furnace?

What is a monthly budget?

A monthly budget is an outline of the cash inflows and cash outflows from a person's or firm's account during a month's period.  It tracks cash inflows based on income and the outflows in expenses.

The preparation of a monthly budget helps in financial planning and control by tracking expenses and income.

Thus, the most relevant question that deals with a budget overlook is not about losing stock income, going to the doctor, increased electric bill but Option D.

Learn more about monthly budget preparation at https://brainly.com/question/1995710

Solve for p if L = 2 1/2 ft and W = 3 2/5 ft. P = 2L + 2W​

Answers

Answer:

[tex]\frac{59}{5}[/tex] or 11 [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

hope this helps :)

What is the length of side b?








Thank u

Answers

My guess is length of side B would be 12. This is my estimation, I remember a bit on how to do these but since it’s a triangle, I’m thinking the sides are going to be 1/2 of the base. In this case, the base is 24, so the sides should be 12.

Lisa has a certain amount of money. She spent $39 and has 3/4 of the original amount left. How much money did she have originally

Answers

We know that she spent $39, and has 3/4 of the original amount left. Our goal is to find the original amount. We can use the equation. x - 39 = 3/4x. Once we subtract x on the left hand side, we get -39 = -1/4x. Once we multiply -39 by -4, we get 146. She originally had $156.

Bob is buying groceries at the store. The price before tax is $57, and after tax the total is $62.91. What is the sales tax applied to the groceries? Round to the nearest hundredth.​

Answers

5.91

You subtract $57 from $62.91 to get your answer

what does x equals to if 3( x + 7 ) =57

Answers

3(x + 7) = 57 |÷3

x + 7 = 57/3

x + 7 = 19 |-7

x = 19 - 7

x = 12

16. Multiply the polynomials: (x + 3)(x2 – 5x + 12)

Answers

The answer would be -3x^2+3 x + 36

A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 membership fee and $5 for each class. The second program does not have a membership fee, but charges $10 for each class. For how many classes will the programs cost the same? If the variable c represents the number of classes, what is the other variable for the scenario? d, representing the number of dogs in each class h, representing the number of hours p, representing the number of programs t, representing the total cost.

Answers

Answer:

7?

Step-by-step explanation:

The programs cost the same for 7 classes.

Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.

The first program charges $35 membership fee and $5 for each class.

The second program charges only $10 for each class.

Now the total cost say [tex]t_{1}[/tex], for first program can be written in equation form as,

[tex]t_{1} =35+5c[/tex],  here c is the no. of classes.

Similarly, the total cost say [tex]t_{2}[/tex] , for second program can be written in equation form as,

[tex]t_{2} =10c[/tex].

We have to find out the no. of classes for which the two programs cost the same.

according to the question,

[tex]t_{1} =t_{2}[/tex]

[tex]35+5c=10c\\10c-5c=35\\5c=35\\c=7[/tex]

Hence for 7 of classes the programs cost the same.

For more details follow the link:

https://brainly.com/question/4042361

Graph the line with the equation y = 2x - 2

Answers

Answer:

y-intercept is -2 slope is up 2 right 1(2/1)

Step-by-step explanation:

what is greater -5 1/2 or -6.5

Answers

Answer:

-5 1/2

Step-by-step explanation:

-5 1/2=-5.5 which is closer to 0

Hey there!

GUIDE:

> is greater than

• is the GREATER THAN the other number

< is less than

• your number is LESS THAN the other number

≥ is greater than or equal to

• it means that either a number is greater or equal to the other number

≤ Is less than or equal to

• it means that either a number is less or equal to the other number

= is equal

• it means that it is equal to the other number

SOLVING FOR YOUR ANSWER!

-5 1/2 __?__ -6.5

-5 1/2

= -5 * 2 + 1 / 2

= -10 + 1 / 2

= -11 / 2

= -5.5

= -5.5 > -6.5

Therefore, your answer should be:

-5 1/2 > -6.5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

HELP PLS i need it rn about reflections

Answers

Answer:

x = 1

Step-by-step explanation:

Bianca calculated the height of the equilateral triangle with side lengths of 10.

tangent (30) = StartFraction 5 Over h EndFraction An equilateral triangle with side lengths of 10 is shown. A bisector is drawn to split the side into 2 equal parts and splits the angle into 2 30 degree segments.
Then, she used the formula for area of a triangle to approximate its area, as shown below.

A = one-half b h. = one-half (10) (8.7). = 43.5 units squared.

Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answer.

The apothem, rounded to the nearest tenth, is
units.

The perimeter of the equilateral triangle is
units.

Therefore, the area of the equilateral triangle is
, or approximately 43.5 units2.

The calculated areas are
.

Answers

Answer:

The apothem, rounded to the nearest tenth, is

2.9 units.

The perimeter of the equilateral triangle is

30 units.

Therefore, the area of the equilateral triangle is

1/2(2.9)(30), or approximately 43.5 units2.

The calculated areas are

the same, despite using different formulas.

Step-by-step explanation:

Edge

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