Identify the solution to the system of equations
{x=-2y-6 -3x-7y=18

Answers

Answer 1

Answer:

(- 6, 0 )

Step-by-step explanation:

x = -2y - 6 → (1)

- 3x - 7y = 18 → (2)

substitute x = - 2y - 6 into (2)

- 3(- 2y - 6) - 7y = 18 ← distribute parenthesis and simplify left side

6y + 18 - 7y = 18

- y + 18 = 18 ( subtract 18 from both sides )

- y = 0 , then

y = 0

substitute y = 0 into (1)

x = - 2(0) - 6 = 0 - 6 = - 6

solution is (- 6, 0 )

Answer 2

Answer:

  (x, y) = (-6, 0)

Step-by-step explanation:

A system of equations is easily solved using a graphing calculator. The attached shows the solution to be ...

  (x, y) = (-6, 0)

__

The first equation gives a convenient expression for substituting for x in the second equation:

  -3(-2y -6) -7y = 18

  18 -y = 18 . . . . . . . . simplify

  y = 0 . . . . . . . . add y-18

  x = -2(0) -6 = -6

The solution by substitution is (x, y) = (-6, 0).

Identify The Solution To The System Of Equations {x=-2y-6 -3x-7y=18

Related Questions

Convert 5 yards 2 feet to inches. 5 yd 2 ft = ______ in. *

Answers

Answer:

204 inches

Step-by-step explanation:

First, change the 5yd2ft to be just feet.

1 yard = 3 feet

5 yd × 3ft/yd = 15 ft

15 ft + 2ft = 17ft

Next, change to inches.

1 ft = 12 inches

17ft × 12in/ft = 204 in

5 yds 2 ft = 204 in

Answer:

204 inch-

Step-by-step explanation:

 1:    change the 5yard 2ft to be just feet.

1 yrd  = 3 feet

5 yrds  × 3ft/yd = 15 ft

15 ft + 2ft = 17ft

2:     change to inches.

1 ft = 12 inch

17ft × 12in/ft = 204 in

5 yards  2 ft = 204 in

~Jax~

Would I do 12 time 4.5?? Someone please help

Answers

Answer:

96

Step-by-step explanation:


A party tent is used for an outdoor event. Ropes of equal length
support each tent pole. The angle the rope makes with the floor is
55
What is the height of each pole?
28 ft
Enter your answer in the box. Round only your final answer to the
nearest tenth

Answers

Answer:

22.9

Step-by-step explanation:

Using the sin formula you can figure out the far side of the pole. Since one would be 28, the hyponetuse, and the angle is 55 degrees you should do sin 55 = x/28.

HELP PLS I'LL GIVE BRAINLEIST

Answers

Area of the triangle

1/2BH1/2(10+50)(20)10(60)600ft²

Area of rectangle:-

50(20)1000ft²

Area of semicircle

π(20/2)²/2π(10²)/2100πft²/2314ft²/2157ft²

Total:-

157+1000+600=1757ft²

Answer:

1757 ft²

Step-by-step explanation:

Formulae

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Area of a semicircle = 1/2 πr²

To find the shaded area:

Add the area of the rectangle, the area of the triangle, and the area of the semicircle.

Area of the rectangle:

= 20 x 50

= 1000 ft²

Area of the triangle:

= 1/2 x (10 + 50) x 20

= 1/2 x 60 x 20

= 30 x 20

= 600 ft²

Area of the semicircle:

= 1/2 π(20 ÷ 2)²

= 1/2 · 3.14 · 10²

= 1/2 · 3.14 · 100

= 157 ft²

Shaded area:

= area of rectangle + area of triangle + area of semicircle

= 1000 + 600 + 157

= 1757 ft²

A consumer charges a $2,530.16 purchase on a credit card. the card has a daily interest rate of 0.042%. if the balance is paid off at the end of 30 days, how much interest will the consumer pay? a. $0.32 b. $3.19 c. $31.88 d. $318.78 please select the best answer from the choices provided a b c d

Answers

The consumer will pay $31.91 as an interest.

Initial balance = $2,530.16

Daily interest rate = 0.042%

What is simple interest?

Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments

So, balance at the end of the first day = 2530*(1.00042)¹

balance at the end of the second day =  2530*(1.00042)²

Similarly, balance at the end of the 30th day =  2530*(1.00042)³⁰

Balance at the end of the 30th day = $2562.07291

So, interest levied =  $2562.07291 -  $2,530.16

Interest levied = $31.91

Therefore, the consumer will pay $31.91 as an interest.

To get more about simple interests visit:

https://brainly.com/question/2294792

PLEASE HELP WILL GIVE BRAINLIEST!!!!​

Answers

Answer:

1/2

Cameron made :

[tex]\sf \hookrightarrow \dfrac{2}{5} *160[/tex]

[tex]\sf \hookrightarrow 64 \ cookies[/tex]

Lindsey made :

16 cookies

Together:

16 + 64 = 80 cookies

Left to make:

(160-80)/1601/2

Total made:-

16+2/5(160)16+2(32)16+6480cookies

Cookies left:-

160-80=80

Fraction:-

80/1601/2

Pedro was working on a report on swiss and austrian psychiatrists. he decided to find a 90 percent confidence interval for the difference in mean age at the time of significant psychiatric discoveries for swiss versus austrian psychiatrists. he found the ages at the time of psychological discovery of all the members of both groups and found the 90 percent confidence interval based on a t-distribution using a calculator. the procedure he used is not appropriate in this context because


a

the sample sizes for the two groups are not equal.


b

the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.


c

age at the time of psychological discovery occurs at different intervals in the two countries, so the distribution of ages cannot be the same.


d

age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid.


e

age at the time of psychological discovery is likely to have a few large outliers, so the assumption for using this confidence interval formula is not valid

Answers

Answer:

B) the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.

Step-by-step explanation:

Age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid. Therefore, option D is the correct answer.

What is a confidence interval?

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

A confidence interval is used to estimate an unknown population parameter, such as the mean, from a sample. It does this by providing a range of values within which the true population parameter is likely to lie. To use a confidence interval, the assumptions of the underlying distribution must be valid. In this case, the distribution of the ages of the Swiss and Austrian psychiatrists is likely to be skewed, meaning that it does not follow a bell shaped distribution. This makes the assumptions for using the confidence interval formula invalid and thus the procedure is not appropriate in this context.

Therefore, option D is the correct answer.

To learn more about the confidence interval visit:

https://brainly.com/question/14041846.

#SPJ2

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

An=A(n-1)-4 where A=7

Step-by-step explanation:

10)Find the mean of the following data?
0 1 2 3 4 5 6 7

Answers

Answer:

3.5

Step-by-step explanation:

The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores

Does anyone know what type of angle this is?

Answers

Answer:

SUPPLEMENTARY ANGLES

(ADJACENT ANGLES).

Step-by-step explanation:

< 4 and < 6 are on a straight line - adjacent angles and m < 4 + m <  = 180 degrees.  So they are supplementary angles also.

i need help with this i will give you 100 points

Answers

Answer:

10

Step-by-step explanation:

First we figure out the area of the triangle!

8 x 6 = 48

48/2 = 24

Now we multiply to figure out the area of the rectangle :)

24 x 5 = 120

Now we divide 120 by 12 to figure out the width!!

120/12 = 10

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

10

Step-by-step explanation:

area of triangle = 1/2 x 8 x 6 = 24

area of rectangle = 5 x 24= 120

area of rectangle = length x width

120 = 12 x w

w = 10

Number 11 instructions are to simplify

Answers

Answer:

  a/(a-4)

Step-by-step explanation:

Simplifying generally means expressing the rational function over a common denominator. Factoring the second term can help us see what that common denominator should be.

___

  [tex]\dfrac{3a}{a+4}-\dfrac{2a^2-16a}{a^2-16}=\dfrac{3a(a-4)}{(a-4)(a+4)}-\dfrac{2a(a-8)}{(a-4)(a+4)}\\\\=\dfrac{a(3(a-4)-2(a-8))}{(a-4)(a+4)}=\dfrac{a(3a-12-2a+16)}{(a-4)(a+4)}\\\\=\dfrac{a(a+4)}{(a-4)(a+4)}=\boxed{\dfrac{a}{a-4}}[/tex]

Can someone help me with B and D, i’ll give branliest! :)

Answers

A= P(1 + rt)
A = final amount
P= initial principal balance
r = annual interest rate
‡ = time (in years)

A=400(1(0.03)0)

A=400(1(0.03)5)

A=400(1(0.03)10)

A=400(1(0.03)15)

A=400(1(0.03)20)

0=400
5=460
10=520
15=580
20=640

8) What is the volume of the triangular prism?
A) 15 mm
B) 18 mm
C) 24 mm
D) 30 mm

Answers

D) 30 mm

should be it!! GL:)

The the volume of the triangular prism is 30mm so D

answer this correctly for brainiest

12x−3<−138

Answers

Answer:

x<-11.25

Step-by-step explanation:

you treat it like its 12x-3=-138, your goal is to isolate the x. first you subtract the 3 from both sides (12x<-135) and then divide both sides by 12 giving you 11.25 on one side and x on the other.

Answer:

x < -45/4 or it can be written as ( -infinity, -45/4 )

Step-by-step explanation:

12x - 3 < -138

12x < -135

x < -45/4

or x < -11.25


Dakota deposited $500 in an account earning 10% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?

Answers

Answer:

After 3 years, Dakota will have $674.09 total.

One sixth of the cars that Valerie saw on her vacation were red, and one seventh of them were blue. What part of the cars that she saw was either red or blue?​

Answers

Answer:

13/42.

Step-by-step explanation:

That would be the sum of the 2 fractions:

1/6 + 1/7

= 7/42 + 6/42

= 13/42.

What number is one thousand less than one million?

Answers

Answer:

999,000

Step-by-step explanation:

We need to find the number that is one thousand (1,000) less than one million (1,000,000).

less than clearly refers to subtractionSo, we have to subtract 1,000 from 1,000,0001,000,000 - 1,000999,000

Answer:

999000

Step-by-step explanation:

1 million - 1000 or 1 million less is 100,000


Lesson 4.03
Madame Dumas has a rather extensive art collection and the overall value of her collection has been
increasing each year. Three years ago, her collection was worth $250,000. Two years ago, the value of the
collection was $525,000 and last year, the collection was valued at $1,102,500.
Assume that the rate at which Madame Dumas's art collection's value increase remains the same as it has
been for the last three years. The value of the art collection can be represented by a geochetric sequence.
The value of the collection three years ago is considered the first term in the sequence.
A) Write an explicit rule which can be used to determine the value of her art collection n years after that.
B) Use this rule to determine the value of her collection 9 years after she started tracking its worth rounded
to the nearest dollar

Answers

Using a geometric sequence, it is found that:

a) The explicit formula is: [tex]a_n = 250000(2.1)^{n-1}[/tex].

b) The value of her collection 9 years after she started tracking is of $94,557,148.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

Item a:

Three years ago, her collection was worth $250,000, hence the first term is [tex]a_1 = 250000[/tex].

In two years, the collection was valued at $1,102,500, hence the common ratio is:

[tex]q^2 = \frac{1,102,500}{250,000}[/tex]

[tex]q^2 = 4.41[/tex]

[tex]q = \sqrt{4.41} = 2.1[/tex].

Hence, the explicit formula is:

[tex]a_n = 250000(2.1)^{n-1}[/tex]

Item b:

[tex]a_9 = 250000(2.1)^{9-1} = 94557148[/tex]

The value of her collection 9 years after she started tracking is of $94,557,148.

More can be learned about geometric sequences at https://brainly.com/question/11847927

Answer number 9 please.

Answers

Answer:

165 cm³

Step-by-step explanation:

330 cm³ × 1/2 = 165 cm³

Do you understand this please give examples l really don’t understand.

Answers

Answer:

so to get primited you add the sides and since you are given the perrimited and one of the sides you are to figure out the outer side

so if the perrimiter its 38 and one side is 10 then the other side is 28 because 38-10 its 28

Step-by-step explanation:

How fast is a car traveling if it travels 90 miles in 2 hours? At that rate, how far will it travel in 3 hours?

Answers

Answer:

135 miles in 3 hours, or 45 miles an hour

Step-by-step explanation:

well, if it travels 90 miles in 2 hours, than how many does it do in one?

90m/2h=45 miles in ONE hour.

Given that info, we can solve for 3 hours.

If ONE hour is 45, then THREE hours is just 45*3=135

135 miles in 3 hours, or 45 miles an hour

Answer:

90 miles in 2 hours

45 miles per hour

135 miles in 3 hours

Step-by-step explanation:

Bro come on simple maths

Jhon made 9 1/2 cups of pasta how many 1/2 cup servings did he make

Answers

Answer:

19 servings

Step-by-step explanation:

9 1/2 / 1/2 = 19

19

Step-by-step explanation:

one whole has 2halfs so 9 will have 18 plus the other half. (9×2)+1=19

Solve for x to the nearest tenth.
BRANLIEST AND 45 POINTS!!

Answers

Check the picture below.

Which Line has The Greater Slope
1
2
3
4

Answers

The answer to this question is line 1

What value of x makes this equation true?

5x+3=2x-3

Answers

Answer:

-2

Step-by-step explanation:

[tex]5x+3 = 2x -3 \\\\\implies 5x -2x = -3 -3\\\\\implies 3x = -6\\\\\implies x = -\dfrac 63 =-2[/tex]

hello!

Let's solve this equation.

Step 1

Move the numbers to the right:-

5x=2x-3-3

Step 2

Move the x's to the left

5x-2x=-3-3

Notice I use the opposite operation :)

Step 3

Combine like terms

3x=-6x

Step 4

Divide both sides by 3

x=-2

That's the value of x that makes the equation true.

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

A boat travels 345km in 24 hrs. How long will it take to complete 300 km​

Answers

Answer:

20.87 hours

Step-by-step explanation:

Speed = distance/ time

We need to find the speed of the boat which is ...

s = 345/24

s = 14.374km/hour

so to find how long it takes to travel 300 km we....

time = distance/speed

t = 300/14.375

=20.869

= 20.87

please help with these 4 questions

Answers

We use the BODMAS method to solve the given questions.

Solve the Bracket then Divide Multiply Add and Subtract

1. 32÷4×(16×1/2) - 2

= 32÷4 × ( 8 ) - 2

= 8 × 8 - 2 = 64 - 2 = 62

2. 20 ÷ (5×2/5) + 3

= 20 ÷ (2) + 3 = 20 ÷ 2 + 3

= 10 + 3 = 13

3. 1/2 ×(6×4) ÷ 3 + 2

= 1/2 × 24 ÷ 3 + 2

= 1/2 × 8 + 2

= 4 + 2 = 6

4. 2 (6÷2+8) - 4

= 2 (3+8) - 4

= 2 × 11 - 4

= 22 - 4

= 18

simplify (2^3)^-2
urgent need for answers

Answers

Answer:

0.015625

Step-by-step explanation:

I would REALLY try to explain, but I can't find any explanation.

If this is my best, give other person brainliest.

Answer:

Exact form would be 1/64

Decimal form would be 0.015625

Step-by-step explanation:

Alg I Sem 2 Final Comp South Panola MS 2021-2022
Hines, Tre'Darious
10 of 65
5
6
7
8
9
10 11
12 13
14
>
Use the information given to answer the question.
A producer tracks the number of viewers per week for two television shows. The table shows functions
f(w) and g(w) representing the approximate number of viewers, in millions, w weeks after the tracking
begins.
Television Show 1
Television Show 2
f(x) = 14.7(0.94)
g(w) = 15.2(1.03)
Part A
For Television Show 1, which statement is true?

Answers

The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let f and g representing the approximate number of viewers, in millions,  x weeks after the tracking begins.

The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

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