Examine the system of equations.
y = –3x – 2,
y = 7
The value of x is ______.
The solution to this system of equations is _______.

Answers

Answer 1

Answer:

[tex]\boxed{\boxed{\sf x=-3}}[/tex]

Step-by-step explanation:

[tex]\sf y = -3x - 2[/tex]

[tex]\sf y=7[/tex]

We'll substitute y into the equation:

[tex]\sf 7 = -3x - 2[/tex]

Switch sides:

[tex]\sf -3x-2=7[/tex]

Add 2 to both sides

[tex]\sf -3x-2+2=7+2[/tex]

[tex]\sf -3x=9[/tex]

Divide both sides by -3:

[tex]\sf \cfrac{-3x}{-3}=\cfrac{9}{-3}[/tex]

[tex]\sf x=-3[/tex]

Therefore, the value of x/solution is -3

________________________________________

Answer 2

Answer:

The value of x is  

✔ –3

The solution to this system of equations is  

✔ (–3, 7)

Step-by-step explanation:


Related Questions

What is 5 x 2 3/10 as a mixed number in the simplest form
?

Answers

Answer:

11 1/2

Step-by-step explanation:

5 × 2 3/10 = 5 × (2 + 3/10) =5 × 2 + 5 × 3/10 = 10 + 3/2 = 10 + 1 1/2 =11 1/2

[tex]\large{{\sf{5 \times 2 \frac{3}{10} = \frac{115}{10} = \frac{115 \div 5}{10 \div 5} = \frac{23}{10} = {\large{\underline{\boxed{\sf{\green{11 \frac{1}{2} }}}}}}}}} \\ [/tex]

Ive been trying to get this question but i still cant seem to understand it please help

Answers

Answer:

D:x=2

Step-by-step explanation:

Rest of the triangle is just a distraction. The distance from B to any point in the bysector is the same as the distance from C to the same point (you can look at BDF and CDF and notice they're congruent by SAS). at this point it's just solving

[tex]2x + 3 = 4x - 1 [/tex]

which has 2 as a solution

please help i only have a few minutes left!!

Answers

Answer:

VI

Step-by-step explanation:

The letter "A" is a vowel and a capital letter, so this should be categorized in group VI, where the vowel circle and the capital letter circle overlap.

Answer:

F

Step-by-step explanation:

It is a capital letter and a vowel

The mean temperature for the first 7 days in January was 4 °C.
The temperature on the 8th day was 6 °C.
What is the mean temperature for the first 8 days in January?

Answers

The mean temperature would be 5 c.
You figure this out by adding both values, 4 and 6, and dividing it by 2 because there are 2 values. So the equation would be 4 + 6 = 10
10 / 2 = 5

which one is great 10% or 1.0- which on is greater 30% or 1/3- which one is greater 0.9 or 95%- which one is greater 80% or 5/8​

Answers

Answer:

see exp

Step-by-step explanation:

1.0, 1/3, 95%, 80%

Circle A has a circumference of 9 cm. Circle B has a radius of 5 cm.

Which circle has the larger circumference?



About how many centimeters larger is it?

Answers

Answer:

B has a bigger circumference.

It is larger by 69.5 cm

Step-by-step explanation:

B: 3.14×5²=78.5

A: 9

circle b circumference would be 10cm
(a radius is half a circle so double 5 which is 5+5=10)


circle a circumference would be 9


so the larger circle is b

to find how many cm larger do 10-9 which is 1 so its 1cm larger ! hope this helps

2 1/2 divided by 5/2

Answers

[tex]\dfrac{2 \tfrac 12 }{\tfrac 52}\\\\\\\\= \dfrac{\left(\tfrac 5 2\right)}{\left(\tfrac 52 \right) }\\\\\\\\=1[/tex]

need help math problem give you 5 stars and a good rating if you do this

Answers

Answer:

Add 9.6 then divide by 3.2

You are designing a new, larger coral reef habitat that will stun visitors with its size and vibrant colors. The tank requires special glass to protect this delicate environment. The glass costs $25,000 + a 10% engineering fee + a 5% shipping fee. The shipping fee is calculated on the cost of the glass plus engineering charges. What is the total cost of the glass, including fees?

Answers

Answer:

$28,875

Step-by-step explanation:

First, we would have to find 10% of $25,000

10% of $25,000 = $2,500

Now, we have to add the 2 values together

$25,000 + $2,500 = $27,500

Now, we can find the shipping fee, since it includes the engineering fee

5% of $27,500 = $1,375

Now, we can add the shipping fee to find the total

$27,500 + $1,375 = $28,875

Pls help plz thank you

Answers

Answer:

14, 31, 62

Step-by-step explanation:

11 + 3 = 14

14*2 = 28

28 + 3 = 31

31*2=62

What is the range of tanx?
1. all real numbers
2. -1 ≤ y ≤ 1
3. y > 0

Answers

all real numbers except the 90 and 270 because of cosx

NO NEED FOR LINKS NEED HELP RIGHT NOW

Answers

Answer:

1a.2

2a. 9

3a. 6000

1b. 9000

2b. 3000

3b. 9

Step-by-step explanation:

1 m = 0.001 Km1 Km = 1000 m1 ml = 0.001 L1 L = 1000 ml1 g = 0.001 Kg1 Kg = 1000 g1 mm = 0.01 cm

a. 2000 m = 2 Km b. 9 Km = 9000ma. 9000 ml = 9 L b. 3 Kg = 3000 ga. 6 L = 6000 ml b. 90 mm = 0.9 cm

Hope you could get an idea from here.

Doubt clarification - use comment section.

The ages of the students in a statistics class are listed below. If the 18-year-old student has a birthday and turns 19, how will it affect the mean and median ages of the class?

Ages: 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18

A
Both the mean age and the median age will increase.

B
The mean age will increase, and the median age will remain the same.

C
The mean age will remain the same, and the median age will increase.

D
The mean age will remain the same, and the median age will decrease.

Answers

A is believe I’m not 100% sure

The mean age will increase, and the median age will remain the same.

Option B is the correct answer.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Ages:

14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18

The mean of the ages.

= (14 + 15 + 15 + 16 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 17 + 18) / 13

= 211/13

= 16.23

The median of the ages.

= 16

Now,

18 becomes 19.

14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 19.

Mean = 212/13 = 16.3

Median = 16

Thus,

The mean age is increased.

The median is the same.

Learn more about mean here:

https://brainly.com/question/23263573

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2cosAcosB =

• cos(A + B) + cos(A - B)
• sin(A - B) + tan(A + B)

Answers

Answer:

2cosAcosB = cos( A + B ) + cos( A - B )

I can write an equation​

Answers

Answer: y = -x + 2

Step-by-step explanation:

If you are familliar with the point-slope form this is very helpful

Point-slope:

[tex]y-y_1=m(x-x_1)[/tex]

Plug in our values of [tex]m = -1, y_1=-1,x_1=3[/tex] to get:

[tex]y-(-1) = -1(x-3)[/tex]

Simplify

[tex]y+1=-x+3[/tex]

[tex]y=-x+2[/tex]

find the total amount due on the simple interest loan if the principle is $3000 with a rate of 5% for 10 years

Answers

Step-by-step explanation:

hope it will help you......

a^3/2a^0 simplify pls i need help

Answers

Answer:

a^3/2

Step-by-step explanation:

a^3/2a^0

We already know that any value to the zeroth power is 1, so we can start off by rewriting the equation as

a^3/2(1)

We also know that any value multiplied by 1 would result in itself. In this case, 2(1) is 2

Thus, our simplified expression is

a^3/2

Find the equation of a line whose slope is 6 and passing through (3 , 3 ).

Answers

Answer:

y=6x-15

Step-by-step explanation:

y-y1=m(x-x1)

y-3=6(x-3)

y-3=6x-18

y=6x-18+3

y=6x-15

Which set of data has a mean of 11 and a mode of 7?
A. 7, 8, 22, 7, 11
B. 3, 5 , 7, 7, 11, 15
C. 2, 5, 7, 11, 23, 18

Answers

A. Has the mean of 11
B has the mode of 7

Answer:

its a.

Step-by-step explanation:

Pre college need helppp

Answers

Answer:

check online for more information

2/5 x 7/9 = ( fractions )

Answers

Answer:

32/45 is your required answer

Answer:

your answer will be 14/45

Step-by-step explanation:

2/5 × 7/9

= 2 × 7

  5 × 9

= 14/45

What is the solution to the trigonometric inequality sin(x)>1+cos(X) over the interval 0<=x<=2pi radians?

Answers

Answer:

Last choice

Step-by-step explanation:

First, convert (sinx)^2 to 1-(cosx)^2 via trigonometric identity derived from (sinx)^2 + (cosx)^2 = 1

[tex]\displaystyle \large{\sin^2x + \cos^2x=1 \longrightarrow \sin^2x=1-\cos^2x}[/tex]

Thus, the rewritten inequality is [tex]\displaystyle \large{1-\cos^2x>1+\cos x}[/tex]

Notice how the inequality has a quadratic pattern since we have (cosx)^2 and cosx in the inequality, simply arrange degrees in order.

[tex]\displaystyle \large{1-\cos^2x>1+\cos x}\\\displaystyle \large{0>1+\cos x-1+\cos^2x}\\\displaystyle \large{0>\cos x+\cos^2x}\\\displaystyle \large{\cos^2x+\cos x < 0}[/tex]

Then we factor cosx since the expression has cosx as a common factor.

[tex]\displaystyle \large{\cos x(\cos x+1)<0}[/tex]

Then we have to consider each inequalities which are cosx<0 and cosx+1<0 then merge both intervals once obtaining the solutions.

(1) [tex]\displaystyle \large{\cos x < 0}[/tex]

This inequality means that we have to find the x-value(s) that satisfy(ies) it.

Since cosx becomes negative after π/2 (Refer to unit circle, cosx becomes negative in second quadrant and this quadrant), that means it becomes negative until it reaches or < 3π/2.

Thus, [tex]\displaystyle \large{\frac{\pi}{2}<x<\frac{3\pi}{2}}[/tex] is the solution to cosx > 0.

The another way to solve inequality is to find the intersections by solving the equation then joint the interval together.

[tex]\displaystyle \large{\cos x<0 \longrightarrow \cos x=0}[/tex]

From the unit circle, cosx becomes 0 at x = π/2 and x = 3π/2 between interval [0,2π]

Therefore:

[tex]\displaystyle \large{\cos x = 0 \longrightarrow x = \frac{\pi}{2}, \frac{3\pi}{2}}\\\displaystyle \large{\boxed{\frac{\pi}{2}<x<\frac{3\pi}{2}}}[/tex]

(2) [tex]\displaystyle \large{\cos x+1<0 \longrightarrow \cos x <-1[/tex]

For this inequality, it appears that there have no solutions because cosine function is defined between [-1,1] in range hence there are no x-values in real plane that make cosx even less than -1.

Because only π satisfies cosx = -1 but not cosx < -1, we restrict π and every values.

Hence no solutions which cause a break of interval between π and π/2 < x < 3π/2

If you substitute x = π in, the inequality is false and therefore the answer is:

[tex]\displaystyle \large{\frac{\pi}{2}<x<\pi, \pi<x<\frac{3\pi}{2}}[/tex]

Answer:

D.

Step-by-step explanation:

The first two don't work, so it's between the last two.

This equation doesn't work for 180, so the answer is the last choice.

:)

the sum of three consecutive odd integers is 129. find the integers​

Answers

Answer:

[tex]\huge\boxed{\sf 41,\ 43, \ 45}[/tex]

Step-by-step explanation:

Let the three consecutive integers be x, x + 2 and x + 4

So, the given condition is:

x + x + 2 + x + 4 = 129

3x + 6 = 129

Subtract 6 to both sides

3x = 129 - 6

3x = 123

Divide 3 to both sides

x = 123/3

x = 41

So, the integers are:

x = 41

x + 2 = 41 + 2 = 43

x + 4 = 41 + 4 = 45

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

: West Gorham High School is to be located at the population center of gravity of three communities: Westbrook, population 16,000; Scarborough, population 22,000; and Gorham, population 36,500. Westbrook is located at 43.6769˚N, 70.3717˚W; Scarborough is located at 43.5781˚N, 70.3222˚W; and Gorham is located at 43.6795˚N, 70.4447˚W.
 a. Where should West Gorham High School be located?
 b. If only two pieces of adequate land are available for sale: Baker’s Field at 43.6784˚N, 70.3827˚W; or L onesome Acres at 43.5119˚N, 70.3856˚W, using rectilinear distances, which is closer to the site located in part (a)?

Answers

Answer:

  (a) 43.6490°N, 70.3928°W

  (b) Baker's Field

Step-by-step explanation:

The locations are all within a 7-mile square, so we will make the assumption of a flat Earth with parallel longitude lines. Then the "central" location will be the weighted average of the latitude and longitude coordinates.

(a)

Total population is 16000 +22000 +36500 = 74,500. For purposes of the arithmetic, we will subtract 43 from latitude and 70 from longitude, then multiply each fraction by 10. Similarly, we will divide each population by 1000.

The weighted average location is found from ...

  (16/74.5)(6.769, 3.717) +(22/74.5)(5.781, 3.222) +(36.5/74.5)(6.795, 4.447)

  = (1.4537, 0.7983) +(1.7071, 0.9515) +(3.3291, 2.1787) = (6.490, 3.928)

The center of gravity is about 43.6490°N, 70.3928°W.

__

(b)

The coordinate differences from the center of gravity are (in (°lat, °long)) ...

  Baker's Field: (0.0294, -0.0101)

  Lonesome Acres: (-0.1371, -.0072)

Clearly, Baker's field is closer to the site of part (a).

_____

Additional comment

Distance calculations could be refined further by considering that a degree of longitude at this latitude represents about 0.72 times the distance of a degree of latitude. In this problem, the location of Lonesome Acres has a latitude difference that is several times any of the other coordinate differences, so it is clearly much farther away from the desired location.

The calculations done here are a sort of first-level approximation. The least-significant digits in the coordinates represent a distance of less than 50 feet. If you really want accuracy to that level, then the (approximately) spherical shape of the Earth needs to be accounted for. As a second-level approximation, some reference point needs to be identified, and coordinates in miles (or feet) need to be expressed in relation to that reference. The best accuracy would be obtained using spherical trigonometry to identify the distances.

We expect any school that is constructed to be somewhat larger than 50 feet in any direction, so accuracy to the 4th decimal place in these locations is probably not required--except to satisfy some answer-checker.

40 people attended the play. 15 were women, 10 were men, and 15 were children. what fraction were men?​

Answers

Answer:

10/40 were men, or simplified the amount is 1/4 of the total is men

Is the sum of 3/5 and v13 a rational or Irrational number

Answers

Answer:

The sum of 3/5 and Square root of 13 is irrational. Since square root of 13 is irrational. And when you add it gives u irrational.

5/50 divided by 15/30 solve it out for me please

Answers

Answer:

1/5

Step-by-step explanation:

First and foremost, I want to simplify these fractions, just to make everything a lot easier when I actually get to dividing. 5/50 can be divided by 5/5 to get 1/10, and 15/30 can be divided by 15/15 to get 1/2. So, now we're dividing 1/10 by 1/2.

To divide fractions, we can multiply the first fraction (in this case, 1/10) by the reciprocal of the second fraction (in this case, 1/2). The reciprocal of 1/2 is 2, so we can multiply 1/10 by 2 to find our answer. 1/10 × 2 = 2/10, or 1/5, so this is our final answer.

Hopefully that's helpful! If you have any further questions, let me know. :)

The quotient of given fractions is 1/5.

Given that, 5/50 divided by 15/30.

What are fractions?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Now, 5/50 ÷ 15/30

Keep the first fraction 5/50 same change the division symbol and reciprocate the fraction 15/10

That is, 5/50 × 30/15

= 1/10 × 2/1

= 2/10

= 1/5

Therefore, the quotient of given fractions is 1/5.

To learn more about the fractions visit:

https://brainly.com/question/1301963.

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hello need help question below​

Answers

What’s the question?

What is a 15% tip on a meal that costs $38.40?

Answers

so first u need to find 15% of $38.40 so that will be $5.76 (0.15x38.40) !

Answer:

its $5.76

Step-by-step explanation:

because $38.40 / 15 is $5.76

Jorge heard that as a general rule, he should save at least 10% of his take-home pay. If Jorge’s take-home pay is $2950 per month, what is the minimum amount per year that he should save?

Answers

Answer:

$295

Step-by-step explanation:

2950 · 0.10 =  295

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