Solve the system by substitution.

y= 4x + 22
y= -7x

(__,__)

Answers

Answer 1

Answer:

y=14, and x=-2(-2,14)

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

y=4x+22 and y=-7x

y=-7x=4x+22

Solve.

-7x=4x+22

x=2

Substitute.

y=-7x, x=-2

y=-7(-2)

Solve.

Multiply.

y=14

(-2,14)

Therefore, the final answer is (-2,14).

I hope this helps you! Let me know if my answer is wrong or not.


Related Questions

i need to find the volume of a cylinder and the radius is 10 cm and height is 8 cm

Answers

Answer:

2513.27

Step-by-step explanation:

V=πr^2h=π·102·8≈2513.27412

Order of operations 5-2(5-27)+5

Answers

The answer to your question would be 54

Work Shown:

5-2(5-27+5

Calculate with parenthesis (5-27): -22

5-2(-22)+5

Multiply and divide (left to right) 2(-22): -44

5-(-44)+5

Add and subtract (left to right) 5-(-44)+5

54

A square on the board is chosen at random. Find the probability as a fraction in simplest form

Answers

The probability of selecting a square is the likelihood of the square

The probability that the square selected is a multiples of 3 not less than 10 is 3/20

How to determine the probability?

The given parameters are:

Squares = 20

Multiples of 3 not less than 10 = 3

Stripped balloons = 17

The probability that the square selected is a multiples of 3 not less than 10 is calculated as:

P = n(Multiples of 3 not less than 10)/Total

This gives

P = 3/20

Hence, the probability that the square selected is a multiples of 3 not less than 10 is 3/20

Read more about probability at:

https://brainly.com/question/251701

$20,000 is borrowed at an interest rate of 15% p.a. (per annum) to be paid back over 10
years, calculate the amount of interest, the total repayment and the monthly repayment.

Answers

Answer:

30000 simple interest ,50000 total repayment.

Step-by-step explanation:

sorry iam terrible at explaining,

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS THANKSS

Answers

Answer:357.96in

Step-by-step explanation:

1. Surface area of a cylindar is A= 2πr(r+h)

2. A= 2·π·3 (3+16)

Second question

Answer: 296in

Find The Square Root Of
[tex] \frac{144}{169 } [/tex]

Answers

Hello!

[tex]===============================[/tex]

Let's find the square root of

[tex]\bold{\displaystyle\frac{144}{169}}[/tex]

So what number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex]?

Take the square root of both the numerator (144) and the denominator (169)

[tex]\bold{\sqrt{\displaystyle\frac{144}{169} }}[/tex]

The square root of 144 is 12 (12 times itself equals 144), and the square root of 169 is 13 (13 times itself equals 169)

[tex]\bold{\displaystyle\frac{12}{13}}[/tex]

This number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex].

[tex]==================================[/tex]

Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!#KnowledgeIsPowerYou can easily find the square root of a number by entering the number you want to find the square root of and pressing the [tex]\sqrt{x}[/tex] button on your calculator, or just remembering the basic numbers, like "12×12 (12²=144) :-)

Answered by:

[tex]^\star^\bigstar^\circ\tt{An~Emotional~Helper!~:D}}^\circ^\bigstar[/tex]

Help ASAP I am so confuseddd

Answers

Answer:

radius = 9.5 cm

Step-by-step explanation:

If 2 chords intersect then the product of the parts of 1 chord is equal to the product of the parts of the other chord, that is

PT × TQ = ST × TR

PT × 3 = 4 × 12 = 48

3 PT = 48 ( divide both sides by 3 )

PT = 16

then

diameter = PT + TQ = 16 + 3 = 19 cm

radius = 19 ÷ 2 = 9.5 cm

Bag A contains 5x coins.
Bag B contains 3x coins.
8 coins are taken from Bag B and put into Bag A
The ratio of coins in Bag A to Bag B is now 11:5
Work out the total number of coins.

Answers

Answer:

given ,

number of coins in bag A = 5x

number of coins in bag B = 3x

_____________________________________

According to Question ,

8 coins are taken from Bag B and put into Bag A

The ratio of coins in Bag A to Bag B is now 11 : 5

therefore ,

[tex] \frac{5x + 8}{3x - 8} = \frac{11}{5} \\ \\ 5(5x + 8) = 11(3x - 8) \\ \\ 25x + 40 = 33x - 88 \\ \\ 33x - 25x = 40 + 88 \\ \\ 8x = 128 \\ \\ x = \cancel\frac{128}{8} \\ \\ \fbox{x =16} [/tex]

now ,

[tex]no. \: of \: coins \: in \: bag \: A = 5x \\ \dashrightarrow{5 \times 16 = 80 \: coins}[/tex]

[tex]number \: of \: coins \: in \: bag \: B = 3x \\ \dashrightarrow{3 \times 16 = 48 \: coins}[/tex]

[tex]total \: number \: of \:coins = 80 + 48 \\ \dashrightarrow{ 128 \: coins}[/tex]

hope helpful :D

the current value of an item is 300000 at tge beginning of the year ,of its value at the end of every year is ¾ of the value at the beginning of the year find its value after 5 years​

Answers

Answer:

71191.4 to the nearest tenth.

Step-by-step explanation:

Value after 5 years = 300000(3/4)^5

= 71191.41

Send help haha
Use the drop-down menus to identify the domain and range of each function below.

The drop-down menu has the same options for every one of them.

Please answer correctly ASAP ^

Answers

Answer:

Domain: input values (x-values)

Range: output values (y-values)

Absolute value: remove negative sign → output becomes positive
eg. |-2| = 2

Squaring a number → output is always positive

[tex]a(x)=3|x|[/tex]

Domain = all real numbers

Range = all positive numbers and zero

[tex]b(x)=3x^2[/tex]

Domain = all real numbers

Range = all positive numbers and zero

28 is increased by 150%. what's the final number

Answers

Answer:

70

Step-by-step explanation:

20x(1+150%)

28x(1+1.5)

28x2.5

70

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point. y=−x ^2 −8

Answers

Answer:

Step-by-step explanation:

emma really smells bad do not answer this question

In a certain area of a large city, it is hypothesized that 40 percent of the houses are in a dilapidated condition. A random sample of 75 houses from this section and 90 houses from another section yielded a difference of 0.09. If there is no difference between the two areas in the proportion of dilapidated houses, what is the probability of observing a difference this large or larger?

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.24 = 24% probability of observing a difference this large or larger.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In this problem, for each sample, the mean and standard error are given by:

[tex]\mu_I = 0.4, s_I = \sqrt{\frac{0.4(0.6)}{75}} = 0.0566[/tex]

[tex]\mu_{II} = 0.4, s_{II} = \sqrt{\frac{0.4(0.6)}{90}} = 0.0516[/tex]

Hence, for the distribution of differences, the mean and the standard error are given by:

[tex]\mu = \mu_I - \mu_{II} = 0.4 - 0.4 = 0[/tex]

[tex]s = \sqrt{s_I^2 + s_{II}^2} = \sqrt{0.0566^2 + 0.0516^2} = 0.0766[/tex]

The probability of observing a difference this large or larger is given by P(|Z| > Zx), in which Zx is the z-score when X = 0.0766. Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.09 - 0}{0.0766}[/tex]

Z = 1.175.

Hence the probability is P(|Z| > 1.175), which is 2 multiplied by the p-value of Z = -1.175. Then:

2 x 0.12 = 0.24.

0.24 = 24% probability of observing a difference this large or larger.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

whats 1+1 first answer i will vote brainlyest

Answers

Answer:

2

Step-by-step explanation:

Yessir

Well if you take the first number, 1, and then add it to the second number, which also happens to be 1, you get 2

So, 1+1=2 ‍

I hope this helped <3

15-16) 4, 6, 9, 11, 14, 16, _____, 21, ______



Pattern:

Missing Terms:





17-18) 3, 6, 7, 14, 15, _____, ______



Pattern:

Missing Terms:

Answers

Answer:

first pattern: +2, +3 (repeated)

first missing terms: 19, 24

second pattern:  *2, +1

second missing terms: 30, 31

Step-by-step explanation:

first pattern:

1. subtract the second term with the first, (6-4=2) then then third with the second (9-6=3).

2. repeat until to prove the pattern, +2, +3

3. apply pattern to missing term, (16+2=19) and (21+3=24)

second pattern:

1. since subtracting the terms does not give us a pattern, try dividing when possible, (6/3=2) and (14/7=2). then subtract the other terms (7-6=1) and (15-14=1)

2. find pattern from calculation, *2, +1.

3. apply pattern to missing terms, (15*2=30) and (30+1=31).

hope this helped! ♡

find the value of a from the following data whose mean is 23 29,33, 27, a, 19, 17, 10 ​

Answers

Answer:

a = 26

Step-by-step explanation:

29 + 33 + 27 + a + 19 + 17 + 10 / 7 = 23

135 + a / 7 = 23

135 + a = 161

a = 26

Why are fractions 2/4 and 5/10 equivalent

Answers

2 is half of 4 and 5 is half of 10 which makes both fractions equal to 1/2

Answer:

They both equal 20 when you do the butterfly method. They are all factors of 20.

Step-by-step explanation:

2/4 5/10

2x10=20

4x5=20

the inverse of the function f(x)=-x+3

Answers

Answer: [tex]f^{-1}(x)=-x+3[/tex]

Step-by-step explanation:

To find the inverse of a function replace f(x) with x and replace the original x with y

[tex]f(x)=-x+3\\x=-y+3[/tex]

Now solve for y

[tex]x=-y+3[/tex]

First subtract 3 from both sides

[tex]x-3=-y+3-3\\x-3=-y[/tex]

Now divide both sides by -1 (this will make y positive)

[tex]\frac{x-3}{-1} =\frac{-y}{-1} \\-x+3=y[/tex]

Now replace y with the inverse of f(x), [tex]f^{-1}(x)[/tex]

How do I solve this problem? Also, shouldn't the answer be square root 61 because you do 5^2+6^2=c^2?

Answers

Hey there!

Formula:

a = √p(diagonal)^2 + q(diagonal)^2 / 2

a = √p + q / 2


SOLVING FOR CURRENT EQUATION

a = √10^2 + 12^2 / 2

a = √10 * 10 + 12 * 12 / 2

a = √100 + 144 / 2

a = √244 / 2

a = √61

a ≈ 7.81


Thus, your answer is: √61


Or as you put….

5^2 + 6^2 = c^2

5 * 5 + 6 * 6 = c^2

25 + 36 = c^2

√61 or -√61 = c^2


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

help pls
ty in advance

Answers

[tex]\bold{\huge{\underline{ Solution\: 2 }}}[/tex]

The name of the circle is IJKLThe name of central Angle[tex]\sf{\underline{= {\angle} IHJ }}[/tex]The name of the secant = KL

[tex]{\bigstar}[/tex]Circle :- It is a round figures, which has no end points.

[tex]{\bigstar}[/tex] Central angle :- It the angle ,which lie in the middle of the circle.

Here, H is the mid point of the circle .So, Angle IHJ is the central angle.

[tex]{\bigstar}[/tex] Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .

Here, KL is the line which acts as a secant because it intersect the circle from point K and point L.

[tex]\bold{\huge{\underline{ Solution\: 3 }}}[/tex]

Semicircle = FGH and FIH Minor Arc :- FG or GH Major Arc :- FHG or GFH

[tex]{\bigstar}[/tex] Semicircle :- Semicircle is nothing but the half of the circle.

Here, In second diagram

FGH and FIH are acting as two semicircles which simulatineously forming one circle.

[tex]{\bigstar}[/tex] Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.

Here,

FG or GH are the minor arc of the given circle.

[tex]{\bigstar}[/tex] Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.

Here,

FHG or GFH is the major arc as it is larger than the semicircle of the given circle .

Which of the following rational functions is graphed below?
110
- 10
10
Iho-
O
A. F(x) = 3/x

B. F(x) = х/X + 3

O c. F(x) = x-3/x


D. FX) = x/3

Answers

Answer: A
Hope this helped.

The given graph is of the rational number f(x)=1/x(x-3)

What is rational numbers ?

All the numbers which are in the form of p/q where q is not equal to zero is known as rational numbers.

here, we have,

Which function represents the given graph :

The given graph represents the function f(x)=1/x(x-3)

Since the value of x can never be equals to zero in this function as graph is representing.

Hence option (b) f(x)=1/x(x-3) is the correct answer.

Learn more about rational functions at

brainly.com/question/12088221

#SPJ7

find the square root of following by division method
5499025

Answers

the answer to your question is 2345

Answer:

2345

Step-by-step explanation:

5499025

5 1099805

5 219961

7 31423

7 4489

67 67

67 1

5x5x7x7x67x67

pick one of the doubles

5x7x67

=2345

brainiest please

A wild population of penguins is being monitored in 2000, the population was 200 penguins and
thanks to conservation efforts the population is growing by 296 every year.

What is the initial value?

Answers

Answer: 200

Step-by-step explanation:

The initial value is 200, since this is the population before conservation efforts began.

(True/False) In an experimental study, participants are randomly allocated (by chance, rather than by choice), to two different experimental groups. The reason for randonmization is to reduce bias.

Answers

Answer:

TRUE

Step-by-step explanation:

help, asap, explain, thx
a^2-b^2=8
a+2=2
then a-b=?

Answers

Step-by-step explanation:

a + 2 = 2

a = 2 - 2

a = 0

a² - b² = 8

0 - b² = 8

b² = -8

This question is impossible.

write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .

Answers

21h-10h+16-9+14h+5

Collect the like terms. Like terms are numbers that have the same variable (like x, y, a, n...)

Like terms are:
21h, -10h, +14h

And

16, -9, +5

So add/ subtract the like terms

21h - 10h + 14h= 25 h

16 - 9 + 5 = 12

You can’t add 25h by 12 so your final answer is

25h+12
Answer:
25h+2
Step by step answer
Combining like terms.
start with h
21h-10h+14h=25h
16-9+5=2
so:
25h+2

Which graph represents the function y-3 =3/2 (x-4)? ​

Answers

Answer:

Below.

Step-by-step explanation:

You haven't sent the graphs.

y - 3 = 3/2(x - 4)

y - 3 = 3/2x - 6

y = 3/2x - 3

- this is the slope intercept form of the graph.

It will be a straight line which rises to the right and passes through the y axis where y = -3.  Also it has a slope of 3/2.

Wne y = 0 x =  2 so it passes through the x-axis at x = 2.

Answer:

The correct representation to the given function is graph A

In a circle, a 225° sector has area 250pi in^2. What is the radius of the circle?

Answers

Answer:

r = 200

Step-by-step explanation:

[tex]Area of sector = (\frac{225}{360})[/tex]×πr² = [tex](\frac{5}{8})[/tex] ×πr²

[tex](\frac{5}{8})[/tex] ×πr² = 250π

[tex](\frac{5}{8})[/tex] ×r²   = 250

       r²   = [tex](\frac{8}{5})[/tex] × 250

       r²   = 400

       r    = 200 (r is a length so, it's positive)

A dodgeball has a volume of approximately 113.04 cubic inches. Find the circumference of the ball. Use
3.14 for O.
14

Answers

Answer:

18.84 inches.

Step-by-step explanation:

Volume = 4/3 π r^3 = 113.04

r^3 = 113.04 / 4/3 * 3.14

r^3 = 27

r = 3 inches,

So the circumference = 2 * 3.14 * 3

= 18.84 inches.

Saleem wants to create a table of ratios that are equivalent to 2
3
. He includes the ratios 4
5
and 5
6
.

Are these ratios equivalent to 2
3
? Explain your reasoning.

Answers

Answer:

yes 6 is the equivalent of 3

Answer: 6 is the equivalent of 3

Step-by-step explanation: if wrong comment n I will fix

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