x-3y=-14
x-y=-2
substution method

Answers

Answer 1

Answer:

(4, 6 )

Step-by-step explanation:

x - 3y = - 14 ( add 3y to both sides )

x = - 14 + 3y → (1)

x - y = - 2 → (2)

Substitute x = - 14 + 3y into (2)

- 14 + 3y - y = - 2

- 14 + 2y = - 2 ( add 14 to both sides )

2y = 12 ( divide both sides by 2 )

y = 6

Substitute y = 6 into (1)

x = - 14 + 3(6) = - 14 + 18 = 4

solution is (4, 6 )


Related Questions

3. Solve 7x - 13 = 3x - 1
[Write the properties of equality for each step}

Answers

7x-13=3x-1
-3x -3x (subtraction)

4x-13=-1
+13 +13 (addition)

4x=12
/4 /4 (divide)

x=3

Hope this helps!!

) Use distributive property and solve

74×94​

Answers

Answer:

6956

Step-by-step explanation:

i dont get the Question

Dans un repère du plan, on donne les points (−2 ; 3), (6 ; 2) (−1 ; 0).
1. Faire une figure
2. Conjecturer où l’on doit placer le point D pour que le quadrilatère ABDC soit un
parallélogramme.

Answers

Answer:

faut-il faire les ponits avec le pallergrom de (−2 ; 3), (6 ; 2) (−1 ; 0) ?

Step-by-step explanation:

PLZ HELP ASAP I GIVE BRAINLIEST AND POINTS PLZ DONT POST LINKS
LOOK AT THE PICTURE

Answers

Answer:

look at the picture..................

[tex]\\ \rm\leadsto (aa^2a^3)/(a\div a^2)^{-1}[/tex]

[tex]\\ \rm\leadsto \dfrac{a^{1+2+3}}{(a^{-1})^{-1}}[/tex]

[tex]\\ \rm\leadsto \dfrac{a^6}{a}[/tex]

[tex]\\ \rm\leadsto a^5[/tex]

Find the distance between the points (6,3) and (-5,3)

Answers

Answer:

11

Step-by-step explanation:

what decimal is equivalent to 4/100 + 5/10

Answers

Answer: 0.54

Step-by-step explanation:

im not sure if your talking about turining the fraction into a decimal but this is how it would look as a decimal.

Pls hurry and no links

Answers

Answer:

-20.5

-8

4.5

17

Step-by-step explanation:

y = 2.5x - 8

x = -5

y = 2.5(-5) - 8

y = -12.5 - 8

y = -20.5

x = 0

y = 2.5(0) - 8

y = 0 - 8

y = -8

x = 5

y = 2.5(5) - 8

y = 12.5 - 8

y = 4.5

x = 10

y = 2.5(10) - 8

y = 25 - 8

y = 17

HEYOOOOOO, HELLOOOO, PLEASE LOOK HERE, HELP NEEDED, LIKE NOW LOLOLOL Factor this expression completely, then place the factors in the proper location on the grid.

1/8 x^3 - 1/27 y^3

Answers

Answer:

1/8x³- 1/27y³

Step-by-step explanation:

1/216×(27x³-8y³)

1/216×(3x-2y)×(9x²+6xy+4y²)

1/216×(3x-2y)×(9x²+6xy +4y²)

Choose the expression that correctly compares 0.501 and 0.051

Answers

Answer:

0.501>0.051

Step-by-step explanation:

Answer:

0.501 > 0.051

Step-by-step explanation: blah

A group of friends wants to go to the amusement park. They have no more than $160 to spend on parking and admission. Parking is $8, and tickets cost $38 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.

Answers

Answer:

4

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 38(x) ≤ 160

8 + 38x ≤ 160

38x ≤ 160 - 8

38x ≤ 152

x ≤ 152/38

x ≤ 4

The number of people that can go to the amusement park will be at most 4.

Hence the answer is 4.

Suppose you are exchanging currency in the London airport. The currency exchange service there only makes transactions in which one of the two currencies is British pounds, but you want to exchange dollars for Euros. Thus you first need to exchange dollars for British pounds, then exchange British pounds for Euros. At the time you want to make the exchange, the function f for exchanging dollars for British pounds is give by the formula:

f(d)=0.69d−1

and the function gg for exchanging British pounds for Euros is given by the formula

g(p)=1.3p−2

Required:
a. Find a formula for the function that exchanges dollars in return for Euros.
b. How many Euros would you receive for exchanging 450 dollars after going through this two-step exchange process?
c. How many dollars would you need to exchange in order to end up with 60 Euros after this two-step exchange process?


Answers

The two-step exchange process is an illustration of composite functions

The function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]You would receive 400.35 Euros, when you exchange 450 dollarsYou would receive 70.6 dollars, when you exchange 60 Euros

Converting from dollars to British pounds, we have:

[tex]\mathbf{f(d) = 0.69d - 1}[/tex]

Converting from British pounds to Euro, we have:

[tex]\mathbf{g(p) = 1.3p - 2}[/tex]

(a) Function that converts dollars to Euro

To do this, we simply calculate gf(d)

So, we have:

[tex]\mathbf{g(f(d)) = 1.3f(d) - 2}[/tex]

Substitute [tex]\mathbf{f(d) = 0.69d - 1}[/tex]

[tex]\mathbf{g(f(d)) = 1.3 \times (0.69d - 1) - 2}[/tex]

Expand

[tex]\mathbf{g(f(d)) = 0.897d - 1.3 - 2}[/tex]

[tex]\mathbf{g(f(d)) = 0.897d - 3.3 }[/tex]

Rewrite as:

[tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

Hence, the function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

(b) Euro equivalent of $450

In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

Substitute 450 for d

[tex]\mathbf{g(450) = 0.897 \times 450 - 3.3 }[/tex]

[tex]\mathbf{g(450) = 403.65 - 3.3 }[/tex]

[tex]\mathbf{g(450) = 400.35}[/tex]

Hence, you would receive 400.35 Euros, when you exchange 450 dollars

(c) Dollar equivalent of 60 Euros

In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

Substitute 60 for g(d)

[tex]\mathbf{60 = 0.897d - 3.3 }[/tex]

Add 3.3 to both sides

[tex]\mathbf{0.897d = 63.3 }[/tex]

Divide both sides by 0.897

[tex]\mathbf{d = 70.6}[/tex]

Hence, you would receive 70.6 dollars, when you exchange 60 Euros

Read more about composite functions at:

https://brainly.com/question/20379727

Helpppp!!
Drag each image to the correct location on the graph. Each image can be used more than once.
The following list shows the grams of fiber per serving for each flavor of oatmeal at a grocery store.

3, 6, 3, 4, 2, 4, 4
3, 5, 2, 1, 4, 1, 2
Create a histogram that correctly displays the data.

Answers

Answer:

The answer is 2, 6, 5, 1 for the Grams of Fiber.

Step-by-step explanation:

Does this table represent a function or not? Why or why not?

Answers

Answer:

No

Step-by-step explanation:

For something to be a function, there must be no duplicate x values, or if there is they must represent the same y. The table has a duplicate value of 2 so it is not a function.

I hope this helps!

PLEASE HELPPP!!!

The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. By how many seconds did his time improve from
Attempt 3 to Attempt 7? Do not include units in your answer.

Answers

Answer:

24

Step-by-step explanation:

Im not sure by 64-40=24?

Alr guys I need a refreser on long division because my little sister needs help with it (Help :') )

Answers

Answer:

116 remainder 1

116 1/3

116.333

Step-by-step explanation:

Answer:

116 with a remainder of 1

Step-by-step explanation:

Picture below shows step by step work

Hopefully this helps!

Brainliest please?

Please help! People on my last post didn’t help :(! I’ll give brainliest.

Bill keeps a colony of honeybees on his property. He has created an expression to represent
the number of honeybees that are in the colony t years after he decided to create the colony.
The expression Bill created is -1644 + 160t2 – 144.
After deciding to create the colony, it took a fair amount of time to prepare before actually
getting bees in his colony. After some time, the population in the colony started to decrease;
eventually Bill lost his colony.

(The questions are listed in the photo)

Answers

Answer:

It is 7823

Step-by-step explanation:

This is the right answere because it shows us how each number is placed and what we do with it

Which of the following statements are true regarding functions?
(Check all that apply)

A) The vertical line test may be used to determine whether a function is one-to-one
B) A function is a relation in which each value of the input variable is paired with exactly one value of the output variable
C) A sequence is a function whose domain is the set of real numbers
D) The horizontal line test may be used to determine whether a function is one-to-one

Answers

Answer:

d

Step-by-step explanation:

po ang tamang sagon po

Step-by-step explanation:

A, B are right.

when checking that each x value has exactly one y value (B - that is the definition of a function), we need vertical lines to see that every vertical line has only one crossing point. A.

it is not C, because per definition a sequence is a function with the domain of natural numbers (or whole numbers incl. 0), and the range is the real numbers.

in other words, it is a numbered list of real numbers.

and it is definitely NOT D !

see A and B.

The results of the tests run on the samples are shown in the following table.
Firm 1 379 376 353 363 359 381 348 372 363
Firm 2 364 356 361 360 351 353 354 358 355 362

Does the sample information support the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2 ? Test at the 0.05 level of significance.

Answers

Using the t-distribution, it is found that since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.

At the null hypothesis, we test if the average strength of corrugated fiberboards from Firm 1 is not three pounds per square inch higher than that from Firm 2, that is, we test if the subtraction of the means is at most 3, hence:

[tex]H_0: \mu_1 - \mu_2 \leq 3[/tex]

At the alternative hypothesis, we test if the difference is more than 3, that is:

[tex]H_1: \mu_1 - \mu_2 > 3[/tex]

The mean and the standard deviation for both tests are:

[tex]\mu_1 = 366, s_1 = 11.67[/tex]

[tex]\mu_2 = 357.4, s_2 = 4.27[/tex]

The standard errors are:

[tex]s_1 = \frac{11.67}{\sqrt{9}} = 2.9175[/tex]

[tex]s_2 = \frac{4.27}{\sqrt{10}} = 1.35[/tex]

The distribution of the difference has mean and standard deviation given by:

[tex]\overline{x} = \mu_1 - \mu_2 = 366 - 357.4 = 8.6[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.9175^2 + 1.35^2} = 3.2147[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 3[/tex] is the value tested at the null hypothesis.

It's value is:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{8.6 - 3}{3.2147}[/tex]

[tex]t = 1.742[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 9 + 10 - 2 = 17 df and a significance level of 0.05 is [tex]t^{\ast} = 1.7396[/tex]

Since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.

A similar problem is given at https://brainly.com/question/25562298

LOL ITS ME AGAIN STOP SCROLLING N HELP MEEE PLS. ALSO DONT MIND DIRTY SCREEN

Answers

Answer:

12/16 9/12

3/4

Step-by-step explanation:

12/16 = 15/20 = 9/12

scale factor = 3/4

Answer:

The other fractions are [tex]\frac{9}{12}[/tex] and [tex]\frac{15}{20}[/tex].

the scale factor is [tex]\frac{3}{4}[/tex].

Each of the sides on XYZ are 3/4 of the corresponding sides on ABC.

A coach purchased a soccer ball for each of his 18 players. If each soccer ball cost $12.99, how much did the coach spend before sales tax was added?

Answers

Answer:

$233.82

Step-by-step explanation:

$12.99 a ball times 18 players (12.99x18) equals 233.82$

Which of the following expresses (2.4 on going) as a fraction in simplest form?


2 and 1/4th

2 and 2/5ths

2 and 11/25ths

2 and 4/9ths

Answers

Answer:

2 and 4/9ths

Step-by-step explanation:

2 ⁴/9 is equal to 2.4 constant

Kyle started a new job part of the way through last month that pays $7 per hour. he began the month making $5 per hour at his old job. kyle worked a total of 54 hours last month and made $338 before deduction. how many hours did he work at his old job?

Answers

Answer:

20hours

Step-by-step explanation:

Old Job hours = 54 -34 = 20 hours

the cost of 20 ounces of turkey is 4.20 dollars what is the cost per ounce of turkey?

Answers

Answer:

0.21

Step-by-step explanation:

Tom wants to spend a total of $245 on a hotel. The total cost per night at his hotel $37 the online booking company charges a one time fee of $60. a) write and equation to represent this problem $37

Answers

Answer:

60+37x=245

Step-by-step explanation

x = 5

Which method is best used to solve -2/3c=16

Answers

Answer:

-24

Step-by-step explanation:

-2/3c = 16

c = 16 : -2/3

c = 16 . 3/-2

c = 8 . 3/-1

c = 8 . -3

c = -24

Answer:

-24

Step-by-step explanation:

-2/3c = 16

c = 16 * 3/-2

c = -8 * 3

c = -24

please tell me what is the answer and how is it done
3825÷4.25= ?????

Answers

Hey there!

I got 900 as the answer.

I hope this helped.

Hope that picture of my work helps!

Find three rational numbers lying between -2/5 and -1/5

Answers

Answer:

0, 1/4, -1/4

Step-by-step explanation:

Find the values of m for which the equation

x^2 +2mx + 9 = 0 has no real roots

Answers

Answer:

Interval notation for m: (-3,3)

Inequality notation: -3<m<3

In words: Anything between -3 and 3 without including either -3 or 3.

Step-by-step explanation:

If we want no real roots then b^2-4ac must be less than 0.

a=1

b=2m

c=9

These values were found by comparing your equation to ax^2+bx+c=0.

b^2-4ac<0 is what we are trying to satisfy

(2m)^2-4(1)(9)<0

4m^2-36<0

Divide both sides by 4:

m^2-9<0

Add 9 on both sides:

m^2<9

m^2<9 when m<3 and m>-3.

Interval notation (-3,3).

ANSWER ASAP WILL AWARD BRAINLIEST

Answers

Answer:

Pretty sure the answer is 9−4√3

[tex]\dfrac{(5-\sqrt 3)(3-\sqrt 3)}{2}\\\\=\dfrac{15 - 5\sqrt 3 - 3\sqrt 3 + 3}{2}\\\\=\dfrac{18 - 8 \sqrt 3}2\\\\=\dfrac{18}2 - \dfrac{8 \sqrt 3}2\\\\=9- 4\sqrt 3[/tex]

Solve the inequality t/2 ≥ 11 for t.
A. 4 ≥ 9
B. t ≥ 22
C. t ≤ 9
D. t ≤ 22

Answers

Answer:

B

Step-by-step explanation:

We can multiply both sides by 2 to get rid of the fraction and get:

t ≥ 11 × 2 ->

t ≥ 22.

Hope that helps! :)

Answer:

B: t  ≥ 22

Step-by-step explanation:

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