What is the solution to the following system of equations?
[3x-2y = 12
16x-4y = 24
O It has infinitely many solutions.
It has no solution.
It has one solution (2, -3).
It has one solution (4,0).

Answer:

Step-by-step explanation:

[tex]3x^2 - 2x + 4 = 0[/tex]

a = 3, b = -2, c = 4

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{2 \pm \sqrt{2^2 - (4 \times3 \times 4} )}{2 \times 3}\\\\x = \frac{2 \pm \sqrt{4 - 48} }{6}\\\\x = \frac{2 \pm \sqrt{-44} }{6}\\\\x =\frac{2 \pm 2i \sqrt{11} }{6}\\\\x =\frac{1 + i \sqrt{11} }{3}\ , x =\frac{1 - i \sqrt{11} }{3}\\\\\\\\[/tex]

Answer:

89

Step-by-step explanation:

341 ( total of previous 4 tests)   + 89= 430  

Divide 430 by 5 ( number of tests)

The price decreases by $288,000*(0.19)=$54,720

The current value is then $233,280.

Answer:

x+5+\frac{1}{x-2}

X + 5 + 1/( x - 2)

Step-by-step explanation:

I would recomend using Symbolab to help you understand math like this in an easy step-by-step manner. It will take a while to explain so you can see how to solve these problems through that!

Answer:

D.11,230

Step-by-step explanation:

11.23 = 1 KILOLITER = 1000 LITERS

11.23*1000

11230

Answer:

44

Step-by-step explanation:

2(4x-2)

2(4(6)-2)

2(24-2)

2(22)

44

Hope this helps! :)

Answer and Step-by-step explanation:

Simply plug 6 in for x.

2(4(6) - 2) + 6

Multiply 4 by  6.

2(24 - 2) + 6

Subtract 2 from 24.

2(22) + 6

Multiply 22 by 2.

44 + 6

Add.

50

The answer is 50.

#teamtrees #PAW (Plant And Water)

Answer: Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational.

Step-by-step explanation:

Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth

Yes I can help you. what do you want the help for?

Answer:

AOB = 65 degree angle

DOE = 35 degree angle

AOC = 90 degree angle

EOB = 115 degree angle

DOB = 80 degree angle

Step-by-step explanation:

Use the protractor to measure. Each dash around the edge is equal to 5 degrees.

Answer:

61 , 63 , 65 , 67

Step-by-step explanation:

Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:

(x) + (x + 2) + (x + 4) (x + 6) = 256

First, simplify. Combine all like terms:

x + x + x + x + 2 + 4 + 6 = 256

4x + 12 = 256

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides of the equation:

4x + 12 (-12) = 256 (-12)

4x = 256 - 12

4x = 144

Next, divide 4 from both sides of the equation:

(4x)/4 = (144)/4

x = 144/4

x = 61

61 is your first number. Find the next 3 consecutive numbers:

x = 61

x + 2 = 63

x + 4 = 65

x + 6 = 67

Check:

61 + 63 + 65 + 67 = 256

256 = 256

~

Answer:

a) The initial quantity is 2.9.

b) The initial quantity is 2.9.

c) The multiplier is 1.05 > 1, and thus, the quantity is growing.

Step-by-step explanation:

Exponential equations:

Have the following format:

[tex]A(t) = A(0)(k)^t[/tex]

In which A(0) is the initial amount and k is the multiplier.

If k > 0, the quantity is growing.

If k < 0, the quintity is decaying.

In this question:

[tex]P(t) = 2.9(1.05)^t[/tex]

a, b. The initial quantity is

P(0). So

[tex]P(0) = 2.9(1.05)^0 = 2.9*1 = 2.9[/tex]

The initial quantity is 2.9.

c. Is the quantity growing or decaying?

The multiplier is 1.05 > 1, and thus, the quantity is growing.

Answer:

Equation: 4x + 30 + 2x + 6 = 180

Answer: x = 24

Step-by-step explanation:

The sum of the measures of supplementary angles is 180 deg.

Equation:

4x + 30 + 2x + 6 = 180

Solution:

4x + 30 + 2x + 6 = 180

Add like terms on the left side.

6x + 36 = 180

Subtract 36 from both sides.

6x = 144

x = 24

Answer:

X=24

Step-by-step explanation:

Supplementary angles = 180°

4x+30+2x+6=180

Combine like terms> 4x+2x=6x

Add: 30+6=36

6x+36=180.

Subtract 36 on both sides. > 36-36=0. 180-36=144.

Drop what you have left> 6x   144

Divide by 6. > 6/6= 1. 144/6=24.

X=24

r = 44

12 = r -(34-2)

12 = r -(32)

12 = r-32

r = 32+12

r = 44

Answer:

Circumference

Step-by-step explanation:

The Circumference is the the distance around a circular region, it could be imagined as the distance covered by running or walking around the track of a circular athletic stadium. The Area in the other hand is used to describe the entire region enclosed within the circle. For instance the area may be described as the entire pitch region of an athletic stadium, if the circular distance is the Circumference, the enclosed region within the circle is the measure of the Area.

Answer:

The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

90 companies. 30 have at least one billingual operator.

This means that [tex]n = 90, \pi = \frac{30}{90} = 0.3333[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 - 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.2359[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 + 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.4307[/tex]

The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).

Answer:

86 boxes

Step-by-step explanation:

trust me its right

Answer:

good luck man

Step-by-step explanation:

you will get answers after some time

[tex]\sqrt[3]{a^2+b^2} = (a^2+b^2)^{\frac{1}{3}}[/tex]

Answer:

0.5

Step-by-step explanation:

Answer:

-5y-12

Step-by-step explanation:

Multiply 6 into 2y

7y-12y-12

-5y-12

Answer:

The area of the circle in terms of π is:

Step-by-step explanation:

To find the area of that circle, you can use the equation:

Where:

Now, we can replace the given measurement in the equation:

That result is the same that to write:

By this reason, the result is 9/64 π in^2, giving the result in terms of π.

Question: Given f(x) = x + 1 and g(x) = x ^2, what is

( g o f) (x)?

Answer: (C)---(g o f) (x) = x^2 + x + 1

Why? I just took this quiz on Plato and this was the correct answer.

Hope this help's!!!

                                                               ~Kenzie~

Answer:

Solution given:

f(x) = x +1 and g(x) = x²,

now

(gºf)(x) =g(fx)=g(x+1)=(x+1)²

D) (gºf)(x) = (x + 1)^2

Answer:

y = 3/2x + 15

Step-by-step explanation:

change f(x) to 'y='

interchange 'x' and 'y' then solve for 'y':

y = 2/3x - 10

x = 2/3y - 10

x+10 = 2/3y

multiply each side by 3/2 to get:

y = 3/2x + 15

Answer:

337.5 g

Step-by-step explanation:

mass=volume x density=112.5 x 3=337.5

Answer:

The number of men needed to perform a piece of work twice as great in tenth part of the time  working 8 hours a day supposing that three of the second set can do as much  work as four of the first set is:

Step-by-step explanation:

To find the answer, first, we're gonna find how many hours take to make the piece of work in 16 days, taking into account each day just has 10 hours:

Now, we divide the total hours among the number of persons:

This equivalence isn't the real work of each person, we only need this value to make the next calculations. Now, we have a piece of work twice as great as the first, then, we can calculate the hours the piece of work needs to perform it (twice!):

We need to make this work in tenth part of the time working 8 hours a day, it means:

Now, we know three of the second set can do as much  work as four of the first set, taking into account the calculated equivalence, we have:

So, three persons of the second set can make a equivalence of 8 hours. At last, we calculate all the number of workers we need in a regular time:

Remember we need to perform the job not in a regular time, we need to perform it in tenth part of the time, by this reason, we need 10 times the number of people:

With this calculations, you can find the number of men needed to perform a piece of work twice as great in tenth part of the time  working 8 hours a day supposing that three of the second set can do as much  work as four of the first set is 1200 persons.