solve for x. and please explain your answer

Answer: -3

Step-by-step explanation:

Given

Equations of the lines are

[tex]y=-x-4\\3y=cx-18[/tex]

For the system of linear equation [tex]a_1x+b_1y=c_1,a_2x+b_2y=c_2[/tex] has no solution if

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]

Rewrite the equations

[tex]x+y=-4,\ cx-3y=18[/tex]

Insert the values for the no solution condition

[tex]\Rightarrow \dfrac{1}{c}=\dfrac{1}{-3}\\\\\Rightarrow c=-3[/tex]

Therefore, for c=-3, the system of linear equation ha no solution.

Answer:

It is C.

III is saying that the two functions are inverse functions. If two functions, f(x) and g(x) are inverse, then f(g(x)) = x and g(f(x)) = x. Therefore, we see that if III is true, then I and II should also be true. Now, all we have to prove is that f(x) and g(x) are inverse functions. As we said before, if two functions are inverse, then f(g(x)) = x and g(f(x)) = x.

f(g(x)) = 3([tex]\sqrt[3]{\frac{x-2}{3} }[/tex])^3 + 2

f(g(x)) = 3[(x-2)/3]+2

f(g(x)) = x-2 + 2

f(g(x)) = x

Therefore, we have proved that f(g(x)) = x, and so f(x) and g(x) are inverse functions, and so all of I, II, and III are true. Thus, the answer is C.

fyi, we didn't have to do g(f(x)) because if f(g(x)) = x, then so will g(f(x)).

Answer: The measure of JK is 60 and the correct option is d.

Explanation:

It is given that the points F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30.

The point F is midpoint of JK, point G is midpoint of KL and the point H is midpoint of LJ as shown in figure .

According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third side.

By midpoint theorem,

Therefore the measure of JK is 60 and the correct option is d.

Answer:

A is correct answer

Step-by-step explanation:

like me

Answer:

1/26

Step-by-step explanation:

The probability is 1/26 because there are 26 letters on a keyboard!

Answer:

the height is 11 units the base is 12 units and the area is (i think) 84

Answer:

[tex]Mean = \$15[/tex]

[tex]Standard\ Deviation = \$53.85[/tex]

Step-by-step explanation:

Given

See attachment for probability distribution

Required

Determine the mean and the standard deviation

The mean of the distribution is:

[tex]Mean = E(x)[/tex]

and

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

[tex]Mean = \$500 * 0.01 + \$100 * 0.05 + \$25 * 0.20 + \$0 * 0.74[/tex]

[tex]Mean = \$5 + \$5 + \$5 + \$0[/tex]

[tex]Mean = \$15[/tex]

So:

[tex]E(x) = 15.00[/tex]

The standard deviation of the distribution is:

[tex]S = \sqrt{Var(x)}[/tex]

Where:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]E(x^2) = \sum x^2 * P(x)[/tex]

So, we have:

[tex]E(x^2) = 500^2 * 0.01 + 100^2 * 0.05 + 25^2 * 0.20 +0^2 * 0.74[/tex]

[tex]E(x^2) = 2500 + 500 + 125 +0[/tex]

[tex]E(x^2) = 3125[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Where

[tex]E(x^2) = 3125[/tex]

[tex]E(x) = 15.00[/tex]

[tex]Var(x) = 3125 - 15^2[/tex]

[tex]Var(x) = 3125 - 225[/tex]

[tex]Var(x) = 2900[/tex]

Recall that:

[tex]S =\sqrt{Var(x)[/tex]

[tex]S =\sqrt{2900[/tex]

[tex]S =53.85[/tex]

Answer:

-.4685

Step-by-step explanation:

[tex]x^y=z\\y=log_zy\\10^{x+2}=34\\x+2=log_{10}34\\x+2=log34\\x+2=1.531478917\\x=-.468521083[/tex]

Answer:

Regular pizza: £5

Small pizza: £4

Step-by-step explanation:

Let x = regular pizza

Let y = small pizza

6x + 12y = 78

2x + 3y = 22

I'm going to use elimination method to solve for y

6x + 12 y = 78

-3(2x + 3y = 22) = -6x -9y = -66

Eliminate the x

3y = 12

Divide both sides by 3

3y/3 = 12/3

y = 4

Substitute the y in one of the original equations

2x + 3(4) = 22

2x + 12 = 22

Subtract both side by 12

2x + 12 - 12 = 22 - 12

2x = 10

Divide both sides by 2 to solve for x

2x/2 = 10/2

x = 5

Answer:

small  $3.4   regular $6.2

Step-by-step explanation:

2r +3s = 22.6

6r *12s = 78

Multiply the first  by -3

-6r -9s = -67.8

6r +12 s = 78

Add both (6r will be cancelled)

   3s = 10.2

s = 3.4   small = 3.4   (3 small = 10.2)  

2r +10.2 = 22.6

2r =  12.4

r = 6.2

Answer:

32 People

Step-by-step explanation:

I put 40 (Number of birthday cards bought previously) over 125 (Number of expected costumers) and multiplied it by 100 (Total number of card bought previously) to get my answer. Hopefully that helps :)

Answer:

[tex]an=2n+4[/tex]

Step-by-step explanation:

Answer:

1. 4-2=2

2.2 10/21

Step-by-step explanation:

Answer:

14 players.

Step-by-step explanation:

The bus is a fixed cost, so the unknown “p” comes after the player meals, as that price isn’t fixed and is per player.

993.5 + 74.25p = 2033

74.25p = 1039.5

p = 14

The Answer is B.

Its a Cubic function and this does not graph a line.

The first option

y=5 (A straight line)

for Y=-8x

Using Y=Mx + c

M is the slope

So it has a slope of -8.

Answer: Last answer

Step-by-step explanation:

Answer:

Uranus, Neptune, Saturn, Jupiter

Step-by-step explanation:

l

Answer:

2

Step-by-step explanation:

Answer:

1+1 = 2.

If you had one apple, and I gave you one more, you would have 2 apples.

Answer:

f(10) = 3

Step-by-step explanation:

If f(x) = [tex]-\frac{3}{5} x + 9[/tex] , in order to find the result for f(10) we just need to substitute 10 instead of x and we will get...

[tex]f(x) = -\frac{3}{5} x + 9\\\\f(10) = -\frac{3}{5} (10) + 9\\f(10) = - 6 + 9\\f(10) = 3[/tex]

Answer:

The area of the shape is 122.30 cm^2

Step-by-step explanation:

To calculate the surface area, we identify the side shapes

We have this as;

a rectangle that measures 11 cm by 3 cm, a rectangle that measures 3 cm by 6 cm, a rectangle that measures 8 cm by 3 cm, 2 triangles ( base and top) that has a height of 4.3 cm and a base of 11 cm

The area of the rectangles is simply the product of the side lengths

The area of the triangles is the product of the base and the height divided by 2; but since we have 2 exact triangles, we can simply multiply the base and the height to serve as the area of both

Thus, we have the area of the shape as follows;

(11 * 3) + (3 * 6) + (8 * 3) + (4.3 * 11)

= 33 + 18 * 24 + 47.3

= 122.30 cm^2

Answer:dasda

Step-by-step explanation:adsdad

Answer:

A

Step-by-step explanation:

The answer should be A. If you rotate it around point A the rectangle would be up right on the x axis

hope this helps

Step-by-step explanation:

first you divide 5,500 by 485(5,500/485), then you will get 11.34, and since you cannot buy half of something, you will have to round down to 11. then you multiply 11 by 15 (11 X 15) and you will get 165, so then you go back and subtract 165 from 5,500 (5,500-165)  and there is your answer (5335).

Answer:

the answer is 5335.

Answer:

x =4 and y =1

Step-by-step explanation:

Triangle ADB is an equilateral triangle that means the side a 3 unit each

so,

y + 2 = 3

y = 1

Triangle DBC is an isosceles triangle that means two legs are equal

So,

y + 2 = x -1

we already know that y+2 = 3

So,

3 = x -1

4 = x

Answer:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.5×10^−12

Step-by-step explanation:

in simple terms 3.5×10^−12 or 3.5 times 10 to the power of -12

Answer:

85 hours

Step-by-step explanation:

Number of hours per day = 13 hours

Number of days = 6

Number of hours worked for 6 days = 6 days × 13 hours

= 78 hours

then he worked 7 hours

Total Number of hours worked = Number of hours worked for 6 days + 7 hours

= 78 hours + 7 hours

= 85 hours

Total Number of hours worked = 85 hours

Answer:

B and F are non-statistical questions

Step-by-step explanation:

B is asking how many years until you are 16; this is not statistical because it just a fact. F is pretty much the same because it's just asking a subjective fact-like question.

Statistical questions ask for a collection of varying data. If there is only one data point, it is non-statistical.

Answer:

A

Step-by-step explanation:

just cut off one side and add it to the other thats how you solve paralellograms

Answer: 6 x 7?

Step-by-step explanation: To find the area of a parallelogram it's base times height.

The time that the  height of 80 feet occur on the interval 0 is 4.662 seconds.

Given:

50 cos (π/15(x-10))+52

Height=80 feet

Time= x second

Hence:

height (h)= 50 cos [pie(x - 10 )/15 ] + 52

80 = 50 cos [pie( x - 10 )/15 ]+ 52

Collect like terms

80 - 52 = 50 cos [ pie( x - 10 )/15 ]

28 = 50 cos [ pie( x - 10 )/15 ]

cos [pie( x - 10 )/15 ] = 28/50

cos [ pie( x - 10 )/15 ] =56

cos [pie( x - 10 )/15 ]= cos ( 56 )

cos [ pie( x - 10 )/15 )]= cos ( 0.3111 pie )

Hence:

pie( x - 10 )/15 = 0.3111

( x - 10 )/15 = 0.3111

x - 10 = 15 × 0.3111

x - 10 = 4.662

x = 10 + 4.662

x = 14.662 seconds

Therefore the correct option is C.

Learn more about height here:https://brainly.com/question/1739912

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