Is (3,4) a solution to the system of
equations.
X + y = 7
x - 2y = - 5

Answers

Answer 1

Answer: Yes, the point (3,4) is a solution to the system.

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

Proof of this:

Replace x with 3 and y with 4 in the first equation

x+y = 7

3+4 = 7

7 = 7

This confirms the first equation. Repeat for the second equation

x-2y = -5

3-2(4) = -5

3 - 8 = -5

-5 = -5

We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).


Related Questions

Given g(x) = -
—x – 2, find g(-3).

Answers

Answer:

1

Step-by-step explanation:

negative times negative is positive so that would make it 3-2 which is 1.

what is 5.476; rounded to the narthest hundredths

Answers

Answer:

The answer is 5.48

Step-by-step explanation:

When rounding the hundredths (second number after the dot), you want to look at the number on the right. In this case, that number is 6.

Anytime the number to the right is more than 5, you make the number before it one number higher. Here, the 7 in 5.476 turns into 5.48.

After you've rounded, drop the number you looked at. So, no need for the 6 anymore!

That's it!

Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55.

Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55).

Step 2: Find the slope. m = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47

Step 3: Find the y-intercept to write the equation in slope intercept form. y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. y = 0.47 x + 39.1.

Which explains the error that Lila made?
A. Lila made in error in Step 1 by reversing the ordered pairs.
b.Lila made an error in Step 2 by not using the slope formula.
c.Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.
d.Lila made an error in Step 3 when she did not use the distributive property correctly when multiplying.


since its hard first answer = brainliest

Answers

Answer:

c

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

C.

Step-by-step explanation:

4x times4b be fast nowwwwwwwwwwwwwwww pls

Answers

Answer:

16xb

Step-by-step explanation:

In algebra the numbers are multiplied with the numbers and the variables are multiplied with the variables.

In this question we would multiply x with b and 4 with 4 .

Multiplying x with b would give xb and 4 with 4 gives 16

So the answer will be 16xb

For example if you have 3x and 10 z the answer would be 30xz

What number makes this equation true?


4×3,270=(4×3,200)+(4×□)

Answers

X=520 Isolate the variable by dividing each side by factors that don't contain the variable.

The Viking football team won 4 out of every 5 of their football games. If they played 20 games, how many games did they lose? help me plzz i give you brianlist​

Answers

Answer: The Viking football team lost 4 games.

Step-by-step explanation: Since the Vikings WON 4/5 of their 20 games, you need to find the other 1/5. That means you need to find 1/5 of 20. Divide 20 and 5. The final answer is 4.

The lost 4 games out of 20

What value of q is a solution to this equation?
-3(12+q)=-18

Answers

Answer: q= -6

Step-by-step explanation:

Help pls and thank you :)

Answers

Answer:

[tex]\displaystyle m=7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (1, 7)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                     [tex]\displaystyle m=\frac{7-0}{1-0}[/tex]Subtract:                               [tex]\displaystyle m=\frac{7}{1}[/tex]Divide:                                  [tex]\displaystyle m=7[/tex]

Ben's earnings for work he did from Monday through Saturday were: $78, $94, $115, $108, $67, $78. What was his average daily pay for the days he worked?

Answers

Answer:

His average daily pay was $90.

Step-by-step explanation:

78+94+115+108+67+78=540

540/6= 90.

There were 3 adults and 9 children on the bus. What was the ratio of children to adults? Enter your answer in reduced form.

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

3:1

Step-by-step explanation:

[tex]\frac{9}{3}[/tex] --> [tex]\frac{3}{1}[/tex] or simply 3:1

Find the inverse of “f” algebraically, please!

Answers

Answer:  [tex]f^{-1}(x) = -\sqrt{36-x^2}[/tex]

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

Here are the steps to find the inverse

[tex]f(x) = \sqrt{36-x^2}\\\\y = \sqrt{36-x^2}\\\\x = \sqrt{36-y^2} \ \text{ swap x and y; solve for y}\\\\x^2 = 36-y^2\\\\x^2+y^2 = 36\\\\y^2 = 36-x^2\\\\y = \sqrt{36-x^2}\\\\f^{-1}(x) = \sqrt{36-x^2}\\\\[/tex]

Now this would be the answer if our original domain was [tex]0 \le x \le 6[/tex]

However, that's not the case and instead our domain is [tex]-6 \le x \le 0[/tex]

Reflecting any (x,y) point in this domain restriction, over the the line y = x, will have us land on a point with a negative y value. This is because the inverse will swap the x and y values.

Therefore, the inverse function must ultimately be negative.

Currently [tex]f^{-1}(x) = \sqrt{36-x^2}[/tex] is positive since the result of any square root is never negative.

To fix this, we stick a negative out front to get the final answer being [tex]f^{-1}(x) = -\sqrt{36-x^2}[/tex]

Four different stores are having a sale on the same pair of shoes that cost $325. The signs below show the discounts available at each of the four stores. What is the price of one pair of shoes at each of the stores?

Answers

Answer:

I would need to see the signs to show each discount to figure this one out.  Can you add it?

Step-by-step explanation:


How many squares can you count?

A) 5
B) 4
C) 8
D) 6

Answers

Answer:

Step-by-step explanation:

6

Answer:

6

Step-by-step explanation:

Jakob buys lunch at school on Mondays, Wednesdays, and Thursdays. He spends $3.50 for each lunch. Which equation can be used to find the number of weeks, w, it will take Jakob to spend $84 on lunch? 3.50 w = 84 (3 times 3.50) w = 84 3 w = 84 (3 + 3.50) w = 84

Answers

Answer:

The answer is ( 3 * 3.50 )w = 84

Explanation:

You first need to know how much he spends each week, which is 3.50 * 3.

Then, you need to find w in that equation by dividing that result from each side.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The correct range for the function ƒ(x) = x − 9 if the domain is (3, -3, 0) is:

Answers

Answer:

The correct range is thus;

(-6,-12,-9)

Step-by-step explanation:

Here, we want to get the range given the domain

we simply make a substitution of the domain in the equation so as to get the range

So let us substitute the value of the domain one after the other

f(3) is 3-9 = -6

f(-3) = -3-9 = -12

f(0) = 0-9 = -9

Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator?

Answers

Answer:

Solution in photo

Step-by-step explanation:

Jason and Abby finished a meal at a fancy restaurant and their bill was $136.89. They wanted to give the waiter a 20% tip. How much is the tip? _____ (remember to round to the nearest hundredth.) How much is their total bill, including the tip? _____

Answers

The tip is $28

their total bill + tip = $165

(answers are rounded up)

can someone plz help me with this
i give u a brainllest

Answers

Answer:

it is a and b because you have to do step by step

Bart needs 18 pieces of string 35 inch in length. He cut a 825inch piece of string into pieces that are 35 of an inch long. How many more pieces of string does he need? Show your work.

Answers

Answer:

He needs 4 more pieces

Step-by-step explanation:

Here, we want to know the number of more string pieces that are needed

Firstly, we need to the number of string pieces obtained from the 8 2/5 inch piece

we divide 8 2/5 by 3/5

That will be;

42/5 * 5/3 = 14

So what he will get is 14 pieces from the 8 2/5 inch

The number of pieces needed is thus;

18-14 = 4

Your town has seen a steady decrease of job opportunities by the amount of 10% every year. If the number of jobs available at the end of last year was estimated at 350,000, then how many jobs will there be by the end of the following year?
a.
45,000
c.
35,000
b.
385,000
d.
315,000

Answers

Answer:

c)35000

Step-by-step explanation:

10%of 350000

10/100×350000

0.1×350000=35000

Answer: D

Step-by-step explanation:

350,000 - 10% = 315,000

Give the coordinates and quadrant of Point Z.

Answers

Answer:

Z = (9, 10 ) and is in first quadrant

Step-by-step explanation:

The first quadrant is above the x- axis and right of the y- axis

Z is in this quadrant with coordinates Z(9, 10 )

I need help finding the missing side length with the answer in radicals in the simplest form.

Answers

Answer:

C

Step-by-step explanation:

There’s nothing hard with this

You need to know special right triangles

This is a 30,60, 90 triangle

We automatically know becuase theres. Right angle (90) and a 60 degree angle

now the formula is the smallest side is (n) {I’m using N becuase theres already an X) or in this case, 6

The hypotenuse, the one directly above the 2nd biggest side, or the diagnoal side is 2n or (12). Now we know what X is in this situation which is 12. So that narrows it to 2 answers

Now the side on the bottom of the hypotenuse, the second biggest side is used in the formula N[tex]\sqrt{3}[/tex]. So we know what N is in the beginning, 6 so we just plug that in and well get C. Attached is a photo on q 30, 60, 90 special right triangle

Find the area of the equilateral triangle whose side length is a. Please help, 10 points.

Answers

Answer:

see explanation

Step-by-step explanation:

The area (A) of an equilateral triangle with side a is calculated as

A = [tex]\frac{a^2\sqrt{3} }{4}[/tex]

Kayla invests $8,213 in a savings account with a fixed annual interest rate of 6% compounded continuously. What will the account balance be after 12 years?

Answers

It is 5913.36. You have to multiply all of them together except that you have to turn the percent to a decimal before multiplying.
59136.36 is the answer.

What is the answer to (10y + 6)

Answers

Answer:

2 ( 5 + 3 )

Step-by-step explanation:

Common factor

1 0 + 6 10y+6 2 ( 5 + 3 )

Answer:

2 (5y + 3)

Step-by-step explanation:

You can pull out a 2 from both terms to create

2 ( 5y + 3)

it can’t simplify any more

. Which of the following statements about the graph shown is true?
1 point
Captionless Image
a. The graph represents a function because it has a positive slope.
b. The graph represents a function because it passes the vertical line test.
c. The graph does not represent a function because it does not pass through (0,0).
d. The graph does not represent a function because it does not pass the horizontal line test.

Answers

I believe it’s b but I’m not really sure.

The graph represents a function because it passes the vertical line test thus the best option B.

What is graph?

The graph is "pictorial representation or diagram that represents data or value in an organized manner".

What is vertical line test?

If "all vertical line intersect the curve at most once, then the curve represents function" is called vertical line test for function.

According to the question,

In this graph, for one value of x, the graph has one value for y.

Hence, the graph represents a function because it passes the vertical line test thus the best option B.

Learn more about graph here

https://brainly.com/question/12017879

#SPJ2

A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?

Answers

Answer:

A single pencil costs $0.85 and a single eraser costs $0.60

Answer: The cost of one eraser is $0.6

Step-by-step explanation:

When solving this problem, it's best to set up a system of equations. Let pencil = p and eraser = e.

p = $0.25 + e

8p = $6.80

Now, we can use the second equation to solve for p by dividing both sides by 8. 6.8/8 = 0.85. Therefore, p = $0.85.

Then, use the value of p to find e by plugging the value of p we just found back into the first equation we wrote. Doing so, we get $0.85 = $0.25 + e.   To solve for e, we must subtract 0.25 from both sides, giving use 0.85-0.25 = 0.6

Therefore e = $0.6, so the cost of one eraser is $0.6 or 60 cents.

Jason solved the following equation to find the value for x.
-8.5 -3.5x= -78
x = 6.5
Describe how Jason can check his answer.

Answers

Jason can check his answer by plugging in 6.5 for x

Answer:

Sample Response: Jason needs to substitute the value he found for x in the original equation. Then he needs to use order of operations to simplify. If the result is a true statement then Jason’s solution is correct.

Step-by-step explanation:

on edge 2021

2x+3y=12
find the missing values

Answers

I think it would be x=3 y=2


I need help determineing the next number.?!

Answers

Answer:

The next number is -12 B

Step-by-step explanation:

Let us solve the question

∵ The pattern is 2,916, -972, 324, -108, 36, ....

→ All the given numbers are divisible by 3 because the sum of

  the digits of each number can divide by 3

2+9+1+6 = 18 → multiple of 39+7+2 = 18 → multiple of 33+2+4 = 9 → multiple of 31+0+8 = 9 → multiple of 33+6 = 9 → multiple of 3

∵ The pattern has positive and negative numbers

Each next term = the previous term ÷ -3

→ Let us do that to find the missing number

∵ 2916 ÷ -3 = -972

∵ -972 ÷ -3 = 324

∵ 324 ÷ -3 = -108

∵ -108 ÷ -3 = 36

→ Find the next number by divide 36 by -3

36 ÷ -3 = -12

The next number is -12

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