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How many triangles are there in this picture?

Answer:

In general gf(x) is not equal to fg(x)

Some pairs of functions cannot be composed. Some pairs of functions can be composed only  for certain values of x.

Only with they can be composed some values of x are the ranges of g(x) and f(x) are the same, and their domains are also the same. Or else lies inside it.

Step-by-step explanation:

g(x) = 3x + 6 - 8, f(x) = √x.

The domain of a composed function is either the same as the domain of the first function, or  else lies inside it

The range of a composed function is either the same as the range of the second function, or else lies inside it.

Or vice versa

Now only positive numbers, or zero, have real square roots. So g is defined only for numbers

greater than or equal to zero. Therefore g(f(x)) can have a value only if f(x) is greater than or

equal to zero. You can work out that

f(x) ≥ 0 only when x ≥3/2

.

Question

Simplify

[tex]2(12 - \frac{18}{3} + 4)[/tex]

Answer:-

ATQ->

[tex]2(12 - ( \frac{ \cancel{18}^{ \: \: \: 6} }{3} ) + 4 \\ 2(12 - 6 + 4) \\ 2(16 - 6) \\ 2(10) \\ 20 \: \: is \: your \: ans[/tex]

Answer:

Depends on how the 3 and the 18 are positioned in the fractions on the equation.

47/3

4

Step-by-step explanation:

Step 1. To simplify this, you need to know one of the most basic sayings in math which summarizes the Order of Operations: PEMDAS

Using PEMDAS:

P- Parenthesis

E- Exponents

M- Multiply

D- Divide

A- Add

S- Subtract

P- Parenthesis: We start off by preforming the parts of the equation within the parenthesis.

The 2 on the outside of the parenthesis, will not affect anything until we deal with what is inside the parenthesis.

The next part that we do, is to go through the rest of the steps, looking for either exponents, multiplication or division, skipping over the adding and subtracting until those are done.

The next part that we see, is Division.

D- Division

We find the point of division after the 18. The value we get has to be either:

a. 3/18

b. 18/3

depending on what you were asking for.

The equation, 2(12-18\3+4) at the bolded point, states that the division should be 1/6 because of the way of the division symbol.

Now the equation should either be one of the following:

a. 2(12-1/6+4)

b. 2(12-6+4)

A-Addition

Now, we can add the 4 to the number we got before, which should get us either

A. 1/6+4

B. 6+4

which added together gets us either

A. 25/6<=>4+1/6

B. 10

S-Subtraction

Now, we subtract both parts from the value of 12 getting us:

A. 12-(4+1/6)=12-4-1/6=8-1/6=7+5/6<=>47/6

B. 12-10=2

M-multiply:

Now we move on to the 2 we put aside earlier and multiply both of the answers:

A. 2(47/6)=47/3 or 15+2/3

B. 2(2)=4

Thus the answer is either 47/3 or 4

Answer:

comparing with ax²+bx+c=0

a=3, b=1 , c= -5

Solve using the formula now ,,

Vertically opposite angles are equal.

So,

(11y - 36)° = 63°

=> 11y - 36 = 63

Answer:

11y-36=63

Step-by-step explanation:

use the concept of vertically opposite angle

( solution at pic)

Answer:

3rd triangle can be constructed with dimensions 2,6,7.

Step-by-step explanation:

sum of any two sides > third side.

difference of any two sides < third side

1.

8+5=13 not >14 (no triangle.)

2.

7+8=15 not >15 (no triangle)

3.

2+6=8>7

2+7=9>6

7+6=13>2

7-2=5<6

7-6=1<2

6-2=4<7

so it is a triangle.

4.

6+3=9 not >10 (not a triangle)

-41

The remainder theorem states that when a polynomial F(x) is divided by (x - k) the remainder is F(k). In other words, the remainder when f(x) is divided by (x-k) is calculated by simply calculating F(k).

Given:

F(x) = x³ - 9x² + 5x - 2                   -----------------(i)

To calculate F(3), substitute x = 3 into equation (i) as follows;

F(3) = (3)³ - 9(3)² + 5(3) - 2

F(3) = 27 - 81 + 15 - 2

F(3) = -41

This means that if the polynomial F(x) = x³ - 9x² + 5x - 2 is divided by x - 3, the remainder will be -41.

Answer: 21

Step-by-step explanation:

My teacher just did it

Answer: Either 2, 5, or 8

This means the number 426 is divisible by 6. So are 456 and 486

===============================================================

Explanation:

A number is divisible by 6 if both of the following are true

This is simply because 6 = 2*3. So if 6 is a factor of a number, then 2 and 3 must be factors.

Therefore, 426 is a multiple of 6

Increment that middle digit 2 by 3 and we jump from 426 to 456. Those three digits add to a multiple of 3 as well (4+5+6 = 15). Following that line of logic, we go from 456 to 486 as the last possible three digit number that has these conditions of having 4 first and 6 last, and the number is a multiple of 6.

-------------------------------

In short,

The numbers 426 and 456 and 486 are all multiples of 6 since they are multiples of 2 and 3 at the same time.

So we could replace that middle digit with either 2, 5 or 8.

Answer:

(0.8165 ; 0.8819)

Lower boundary = 0.8165

Upper boundary = 0.8819

Step-by-step explanation:

Given :

Sample proportion. Phat = x/ n = 276/ 325 = 0.8492

Confidence interval :

Phat ± margin of error

Margin of Error = Zα/2* [√Phat(1 - Phat) / n]

Phat ± Zα/2* [√Phat(1 - Phat) / n]

The 90% Z critical value is = 1.645

0.8492 ± 1.645*[√0.8492(1 - 0.8492) / 325)

0.8492 ± 1.645*[√0.8492(0.1508) / 325]

0.8492 ± 1.645*√0.0003940288

0.8492 ± 0.0326535

Lower boundary = 0.8492 - 0.0326535 = 0.8165

Upper boundary = 0.8492 + 0.0326535 = 0.8819

Confidence interval = (0.8165 ; 0.8819)

Answer:

The center of a circle is the point in the circle which is equidistant to all the edges of thr circle. The point a is the center, while point b is an arbitrary point in the circle. Find attachment for the diagram.

Answer:

B. 200 cu. units

Step-by-step explanation:

Volume of the triangular prism = ½*b*h*l

Where,

b = 8 units

h = 5 units

l = 10 units

Plug in the values

Volume of the prism = ½*8*5*10

= 4*5*10

= 200 cu. units

Answer:

he found y value

Step-by-step explanation:

y value would be 8 3/4 + (-4) which is equivalent to 8 3/4 - 4 = 4 3/4

B is the answer for this question hope it helps

Answer:

6/7

Step-by-step explanation:

7 days make a week. 7 would go into the denominator and 6 would go in the numerator. 6 is the amount of days through the week that it is dry.

Answer:

6/7

Step-by-step explanation:

[tex]\frac{number \ of \ dry \ days}{total \ number \ of \ days \ in \ a \ week} =\frac{6}{7}[/tex]

Answer:

Step-by-step explanation:

-2*x +2

it is reveresed with a y interecept of 2

Answer: a= 16 a=8

              b=4 b=2

because, 2 when multiplied by 4 gives 8

4 when multiplied gives 16

Answer:

x=2

Step-by-step explanation:

16+4=3x+7x

20=10x

20/10=10x/10

2=x

it might take 19 hours i might be wrong

Step-by-step explanation:

Answer:

At 4:00 PM the distance between the two ships is 104.40 kilometers.

Step-by-step explanation:

Given that at noon, ship A is 150 km west of ship B, and ship A is sailing east at 30 km / h and ship B is sailing north at 25 km / h, to determine how fast is the distance between the ships changing at 4:00 PM the following calculation must be performed:

150 - (30 x 4) = 150 - 120 = 30

0 + (25 x 4) = 0 + 100 = 100

30 ^ 2 + 100 ^ 2 = X ^ 2

√ (900 + 10,000) = X

√10,900 = X

104.40 = X

Therefore, at 4:00 PM the distance between the two ships is 104.40 kilometers.

Answer:

x = 2

Step-by-step explanation:

4x-3 + 3 =  5 + 3

4x = 8

4x ÷ 4 = 8 ÷ 4

x = 2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

"When solving 4x-3=5 the property used in the first step is the addition property of equality."

[tex]\boxed{x = 2}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'....}}\\\\4x-3=5\\----------\\\text{\textbf{Addition Property of Equality:} Add three on both sides.}}\\\\\rightarrow 4x - 3 = 5 \\\rightarrow 4x -3 + 3 = 5 + 3\\\\\rightarrow \boxed{4x = 8}\\\\\text{\textbf{Division Property of Equality:} Divide both sides by 4.}}\\\\\rightarrow {4x=8}\\\rightarrow \frac{4x=8}{4}\\\\\rightarrow \boxed{x = 2}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

4 different ways

Step-by-step explanation:

Total number of children = 4

Distribution of the 4 children :

Number of boys = 3 ; Number of girls = 1

Boy = B ; Girl = G

Possible combinations :

BBBG ; GBBB ; BBGB ; BGBB

From the pascal triangle number of e; number of outcomes = 2

Having exactly 3 boys and 1 girl

Hence, of any of the 4 four total children, 3 must be boys and 1 girl ;

Answer:

64in^3

Step-by-step explanation:

6×3 = 18

18×2 = 36

4×7 = 28

36+28 = 64

Hope this helps! :)

Answer:

Step-by-step explanation:

If the tank holds 2500 liters and there are already 750 liters in there, he only needs to buy 1750 liters.

If he is saving 6%, he is still spending 94%, so

.94(58.4) = 54.896 (what he'll be paying per liter after the 6% comes off, then

54.896(1750) = $96,068

Answer:

36

Step-by-step explanation:

10-3=7+2=9

4×9=36

36 is the answer

Answer: See the graph below.

It is a straight line segment with endpoints (-2,-3) and (4,9).

===============================================================

Explanation:

We're told that x is between -2 and 4, including both endpoints.

Let's see what y is when we plug in x = -2

y-2x-1 = 0

y-2(-2)-1 = 0

y+4-1 = 0

y+3 = 0

y = -3

So x = -2 pairs up with y = -3. The point (x,y) = (-2,-3) is on the line. This is the left most endpoint.

Repeat for x = 4 to find what y must be

y-2x-1 = 0

y-2(4)-1 = 0

y-8-1 = 0

y-9 = 0

y = 9

Therefore the point (x,y) = (4,9) is also on the line. It's the right most endpoint

Once we have the two points, we can form the straight line. Simply connect the endpoints mentioned as shown below. We don't extend the line infinitely outwards in both directions because [tex]-2 \le x \le 4[/tex] meaning x cannot be smaller than -2, and x cannot be greater than 4 either.

Side note: The given equation is the same as y = 2x+1. It has slope 2 and y intercept 1.

Answer:

option one is the correct answer

Answer:

1/625

Step-by-step explanation:

Answer:

Step-by-step explanation: