36. What is the value of f(3) if f(x) = -4x + 2?
F -14
G-10
H-6
J 14

The measure of the length of line segment CD is; 12.8

Pythagoras theorem States that the square of the hypotenus of a triangle is equal to the sum of the square of the opposite and square of the adjacent side.

From the task content, the center of the circle is at point S and since CS = 4;

Hence, it follows from Pythagoras theorem that;

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Answer:

the answer is 15

The geometric mean of 25 and 9 is 15 . Example 2: ... So, the geometric mean of the three numbers is the cube root of their product.

Answer:

15

Step-by-step explanation:

the geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then

geometric mean of 9 and 25 is

[tex]\sqrt{9(25)}[/tex] = [tex]\sqrt{225}[/tex] = 15

[tex]12 - 2x = 0 \\ - 2x = 0 - 12 \\ -2x = - 12 \\ - x = - 12 \div 2 \\ - x = - 6 ( - can \: be \: cancelled \: if \: its \: in \: both \: side)\\ x = 6[/tex]

kindly swipe right to left for full solution.

the solutions for the quadratic equation are 3.46 and -3.46

Here we have the equation:

12 - x^2 = 0

To solve this, first, we add x^2 on both sides:

12 = x^2

Now we can just apply the square root on both sides, to get:

±√12 = x

±3.46

So the solutions are 3.46 and -3.46

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Answer:

By using your brain? XD

Here's the answer:

2:5 of 63

2+5=7

2/7 X 63=18

5/7 X 63= 45

Tina recieves 18/63 (2/7)

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The number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.

An equation is formed when two equal expressions are equated so that the value of a variable can be found.

Let the number of hours for which the first person worked on the car is x

In order to solve the problem, we will make two equations. Now, since we know that the total number of hours for which the two-person worked on the car is 15, therefore, we can write it as,

[tex]x+y =15[/tex]

The amount charged by the first person is $85 per hour, while the amount charged by the second person is $120, and the total cost of the two is $1450 combined. therefore, the total cost can be written as

[tex]85x+120y = 1450[/tex]

As we got the two-equation solving the two-equation, to get our answer.

In the first equation, we will isolate y, in order to get the value of y in terms of x,

[tex]x+y = 15\\y = 15-x[/tex]

As we got the value of y, substitute the value in the second equation,

[tex]85x+120(15-x) = 1450\\85x+1800 - 15x = 1450\\70x = 350\\x = 5[/tex]

As we have the value of x, substitute the value in the first equation,

[tex]x+y=15\\(5)+y=15\\y=10[/tex]

Hence, the number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.

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Answer:

[tex]-2\frac{1}{2}[/tex]

Step-by-step explanation:

Rewriting our equation with parts separated

=[tex]2+\frac{5}{6} -5\frac{1}{3}[/tex]

Solving the whole number parts

[tex]2-5=-3[/tex]

Solving the fraction parts

[tex]\frac{5}{6} -\frac{1}{3}[/tex]

Find the LCD of 5/6 and 1/3 and rewrite to solve with the equivalent fractions.

LCD = 6

[tex]\frac{5}{6} -\frac{2}{6} =\frac{3}{6}[/tex]

Reducing the fraction part, 3/6,

[tex]\frac{3}{6} =\frac{1}{2}[/tex]

Combining the whole and fraction parts

[tex]-3+\frac{1}{2} =-2\frac{1}{2}[/tex]

Hence, the correct answer is -2 1/2

[RevyBreeze]

Your most trustful answer

Answer:

Train 1

Step-by-step explanation:

Train 1 has constant speed: 240 miles / 3 hours = 80 mph.

Train 2 has constant speed: 490 miles / 7 hours = 70 mph.

So, Train 1 is faster.

Answer:

Zero Point

Step-by-step explanation:

Hello, sorry for taking half an hour to respond.

a) If x represents the number of students in her class, we have :

The cost of a calculator on website C : 480 : x
The cost of a calculator on website D : 480 : (x+4)

b) We call the price of a calculator on website C as a, and the price on website D is a-6
Let's also call the amount of calculators if we buy on website C as d, and the amount of calculators if we buy on website D as d + 4

We have :

a.d = (a-6)(d+4)
Break the brackets out : ad = ad-6d + 4a - 24
=> -6d + 4a - 24 = 0
Divide both sides by 2
=> -3d + 2a - 12 = 0

=> 2a = 3d + 12

So, d is divisible by 3, and a is divisible by 2 => ad is divisible by 6.

And ad x the amount of students = 480

So, we can conclude that the amount of students is a factor of 80

Let's list out all of them : 1,2,4,5,8,10,16,20,40,80.

If there was 20 students :

The price of each calculator would be : 480 : 20 = 24

If it's 6 cheaper, it would be 24-6 = 18

And she would've gotten 480 : 18 (not divisible)

If you keep replacing like that, you'll eventually get the answer. I don't have time left, so the answer is 16 students. Hope it helps.

Answer:

Area for Triangle is: 1/2bh or bh/2

Area for Trapezoid (As shown in picture):

1/2h(b1+b2)

You’d have to do 1/2 x 18(15+37) for the quesyion in the picture

Hope this helped!

Answer:

[tex] area = (\frac{1}{2} (a + b) \times h) \\ \frac{1}{2} \times (15 + 37) \times 18ft \\ \frac{1}{2} \times 52ft \times 18ft \\ divide \: 52 \: by \: 2 \\ 26ft \times 18ft = 468 {ft}^{2} \\ answer = 468 {ft}^{2}[/tex]

Mike's ending cash balance of the cash flow statement for his first year of operation is $95,400.

Cash flow is defined as the report which shows the total inflow and outflow of the business for a particular financial period.

Given

Mike owns a skate shop. He is preparing the cash flow statement for his first year of operation.

He had a beginning cash balance of $4,800, $103,000 in total cash sales, $3,500 for utilities, $2,600 in loan payments, and $5,500 for marketing cost.

Total cash inflow = $4,800 + $103,000 = $107,800

Total cash outflow = $3,500 + $2,600 + $5,500 = $11,600

Then the cash flow will be

[tex]\rm Cash\ flow = \$ 107,000 - 11,600\\\\Cash\ flow = \$ 95,400[/tex]

More about the cash flow link is given below.

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Answer:

1: M'N'P'Q is NOT the dilation

2. UVW is the dilation

Answer:A D F

Step-by-step explanation:

Answer:

Step-by-step explanation:

See attached image.

Answer:

The value of x is 12.24

Step-by-step explanation:

Now,

tan 36 = x/17

0.72 = x/17

x = 17 × 0.72

x = 12.24

Thus, The value of x is 12.24

-TheUnknownScientist 72

Answer: D.

Step-by-step explanation:

The distance from Marcel and Katya is 34 metres

From the given diagram, we have the following

Acute angle given = 42 degrees

According to SOH CAH TOA identity

sin theta = opp/hyp

sin 42 = x/50

x = 50sin42

x = 50(0.6691)

x = 33.46

Hene the distance from Marcel and Katya is 34 metres

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Answer:

300.00$

50$ per month

6 months

50x6

Answer:

NOT The average wage increase for nurses in the system was between 3.6% and 6.8%.

Step-by-step explanation:

Answer:

-3y

Step-by-step explanation:

Take the square root of each term inside the radical to get rid of the radical. The square root of 9 is 3 and the square root of y^2 is y, so the square root of 9y^2=3y. Put the negative back in front and you get -3y.

Answer:

Red : Blue = 20: 40 = 1 : 2

White: Red = 30 : 20 = 3 : 2

Answer:

12/300 as a decimal is 0.04.

Answer:

[tex]7y \leqslant - 20[/tex]

Step-by-step explanation:

4 + 3x =16

subtracting 4 on both sides

4-4 + 3x =16-4

0+ 3x = 12

3x = 12

x = 12/3

x= 4

Answer:

a = 8

Step-by-step explanation:

a + 7 = 15

a + 7 - 7 = 15 - 7   Subtract 7 from both sides.

a = 8

Answer is

A = 8

Because 8 + 7 = 15

The other way to explain we need to subtract 7 ( 7 -7 = 0 and 15 - 7 = 8 ) both sides so after subtracting you will get  8

Answer:

a^1=1

a^8=16,384

Step-by-step explanation:

The original equation of a^n=4^n-1 uses n as a placeholder variable for whatever value is needed to solve the equation. For the first question, which gives 1=n, substituting 1 into the equation gives you the answer of 1. 1-1=0. You can not have any number to the power of zero however, so due to the multiplicative identity, you end up with a positive 1.

The second one we are given 8=n. 8-1 equal 7. 4 to the power of seven (multiply 4 by itself 7 times) gets you 16, 384.

Given the sequence defined as [tex]a_{n} = 4n - 1[/tex], [tex]a_{1} =3\ and\ a _ {8} = 31[/tex].

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

[tex]a_{n} = a_{1} + (n-1)d[/tex]

Given sequence:

[tex]a_{n} = 4n - 1\\\\a_{1} = 4 * 1 - 1 = 4 - 1 =3\\\\a _ {8} = 4 * 8 - 1 = 32 - 1 = 31[/tex]

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Answer:

  g(x) = 3f(-x/2)

Step-by-step explanation:

g(x) is 3 times the height of f(x), and 2 times its width. It is also reflected over the y-axis.

The relevant transformations are ...

  g(x) = k·f(x) . . . . scales f(x) vertically by a factor of k

  g(x) = f(-x) . . . . . reflects f(x) over the y-axis

  g(x) = f(x/k) . . . . scales f(x) horizontally by a factor of k

__

The three transformations we described at the beginning mean that g(x) is ...

  g(x) = 3f(-x/2)