Which of the following graphs represent functions Circle your answers. If it is a function, state the domain
and range. If the graph is not included, make a table and graph the function by hand.

Answer: f(g(2))=-7

Step-by-step explanation:

STEP 1. Find g(2)

g(x)=x²-6x-7

g(2)=(2)²-6(2)-7

g(2)=4-12-7

g(2)=-15

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

STEP 2. Find f(g(2))

f(x)=x+8

f(g(2))=g(2)+8

f(-15)=-15+8

f(-15)=-7

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Answer:

The Answer is -7 .

Step-by-step explanation:

f(x)= x+8

g(x)= [tex]x^{2}[/tex]-6x-7

Now,

fog(2)=f ([tex]2^{2}[/tex]-6*2-7)

        =f (4-12-7)

        =f (-15)

        =-15+8

        = -7          

Answer:

x=3    

11=5x+2-2x

x=3    

Answer:

False

Step-by-step explanation:

The set of numbers that include 0 plus the set of counting numbers. Which also includes 1-Infinity. Example....1,2,3,4, etc.

Answer:

False

Step-by-step explanation:

Whole numbers and irrational numbers are different set of numbers and they don't cross or overlap, therefore no whole number can be part of irrational numbers set

Answer: -1^0 because any number to the 0 is 1

-1^1 because it stays the same number which is negative

Answer:

Hey there!

For question number 1.

(-1)^2, because this equals (-1)(-1), or 1.

For question number 2.

(-1)^3, becuase this equals (-1)(-1)(-1), or -1.

Let me know if this helps :)

Answer:

r=0.30 feet

Step-by-step explanation:

2.6miles = 13728feet

4000=[tex]\pi[/tex]r²13728

4000/[tex]\pi[/tex]13728=r²

.0927=r²

r=0.30454

r=0.30 feet

Answer:

[tex] f(x) = 72 - 12x [/tex]

Step-by-step explanation:

No. of days of study = 6

Amount of food to use for the 6 days = 72 mm

Given that equal amount of food was used each day, amount used per day = [tex] \frac{72}{6} = 12 mm [/tex]

This would enable us derive a function for the amount of food remaining f(x), which can be expressed as a function of the number of days that have passed, (x).

Thus, we would have:

[tex] f(x) = 72 - 12x [/tex]

Let's check if this equation expresses the relation of the function well.

At the end of day 1, if we used, 12mm, we would have 72 - 12 = 60mm of food remaining.

If we replace x in the equation we derived, we would get the same 60mm as the amount of food remaining.

If you try 2, 3, 4, 5 days, you'd get same thing.

At the end of the study, after the 6th day, the food would remain nothing.

Replace 6 for x in the relation function derived, you'd get a value of 0.

Answer:

General conditions of congruency of triangles

Step-by-step explanation:

As no triangles are given, explaining the general rules to apply in congruency of all triangles.

Triangles are congruent on the basis of following conditions :

Answer:

[tex] \boxed{ \bold{ \huge{ \bold{w = 5}}}}[/tex]

Option D is the correct option

Step-by-step explanation:

[tex] \sf{8 + \frac{35}{w} = 15}[/tex]

⇒[tex] \sf{ \frac{8 \times w + 35}{w} = 15}[/tex] { w ÷ 1 = w , So, I wrote 8 × w }

⇒[tex] \sf{ \frac{8w + 35}{w} = 15}[/tex]

Apply cross product property

⇒[tex] \sf{8w + 35 = 15w}[/tex]

Move 15w to left hand side and change it's sign

Similarly, Move 35 to right hand side and change it's sign

⇒[tex] \sf{8w - 15w = - 35}[/tex]

Collect like terms

⇒[tex] \sf{ - 7 w = - 35 }[/tex]

Divide both sides of the equation by -7

⇒[tex] \sf{ \frac{ - 7w}{ - 7} = \frac{ - 35}{ - 7} }[/tex]

Calculate

⇒[tex] \sf{w = 5}[/tex]

Hope I helped!

Best regards!!

Answer:

w = 5

Step-by-step explanation:

8 + [tex]\frac{35}{w}[/tex] = 15

subtract 8 from both sides

8 +  [tex]\frac{35}{w}[/tex] - 8 = 15 - 8

simplify

[tex]\frac{35}{w}[/tex] = 7

35/7 = w

w = 5

y + 2 = -(x - 4)

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

Explanation:

The slope of this line is -1 because each time we move down 2 units, we move to the right 2 units. So slope = rise/run = -2/2 = -1

The slope formula says the same thing more or less. Let's pick the two points (0,2) and (2,0) to find the slope through them

m = (y2-y1)/(x2 - x1)

m = (0-2)/(2-0)

m = -2/2

m = -1

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

Using that slope and a point on the line, we can form the equation. We can pick any point really as long as it's on the line. However, to have it match with the answer choices, we'll have to pick the point (4,-2)

Turn to point slope form

y - y1 = m(x - x1)

y - y1 = -1(x - x1) ... plug in the slope

y  - (-2) = -(x - 4) ... plug in the point (x1,y1) = (4, -2)

y + 2 = -(x - 4)

Answer:

27.41

Step-by-step explanation:

Answer: -a

Step-by-step explanation:

Answer:

-a

Step-by-step explanation:

DONT DO SPACE just -a

Answer:

7.75

Step-by-step explanation:

By Geometric mean property:

[tex] GH = \sqrt {a \times b} [/tex]

[tex] GH = \sqrt {3 \times 20} [/tex]

[tex] GH = \sqrt {60} [/tex]

[tex] GH = 7.74596669[/tex]

[tex] GH \approx 7.75[/tex]

Answer:

umm.... what exactly are the numbers?

Answer:

Yea umm what are the numbers..?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.

From the first part of the question, we already know the distances in the first 5 minutes.

Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;

Mathematically; Total distance = average speed * time

From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.

That would be 5/60 = 1/12 hours

So the total distance in the second 5 minutes is;

33 * 1/12 = 2.75 km

Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;

That would be;

68 + 127 + 208 + 312 + 535 = 1,250 m

Let’s convert this to km.

We simply divide by 1000 = 1250/1000 = 1.25 km

The total distance is thus ;

1.25 + 2.75 = 4 km

Answer:

7/9

Step-by-step explanation:

Given:

Number of yellow cards=2

Number of red cards=12

Number of blue cards=4

Total number of cards= Number of yellow cards+Number of red cards+Number of blue cards

= 2+4+12=18cards

Probability of a NON-blue card = number of non blue/ total number

where NON-blue= Number of red cards+

Number of yellow cards

= 2+12=14

P(not blue)=

=14/18

7/9

Therefore, probability that the card is not blue is 7/9

You use a compass to draw an arc (or a full circle). The radius must be kept the same so that you can copy the length of the segment properly. If the compass could move freely, then it is unlikely the arc will be a piece of a circle, and rather some squiggly curve. So this is why the compass width must be locked into place.

Answer:

Step-by-step explanation:

An Additive Verse is a pair of numbers whose sum is zero.

Example: the additive Inverse of -5 is +5

Therefore: the Additive Inverse of -10 1/4 would be +10 1/4

Answer:

6

Step-by-step explanation:

bd/2c

-3(4)/2(-1)

-12/-2

6

Answer:

6

Step-by-step explanation:

Add the given numbers into your equation.

(-3)(4)/2(-1)

Then multiply both sides.

(-12)/(-2)

Then divide.

(-12)/(-2) = 6

Answer:

C should slot on top of A.

Then D should slot in next to C of the left.

Lastly B should be beneath D and on the left of A.

Hope that makes sense.

Answer:

[tex]- 2x + 3[/tex]

Step-by-step explanation:

[tex] - 3(2x -1 ) + 4x \\ - 6x + 3 + 4x \\ = - 2x + 3[/tex]

Answer:

You have:

2 red tins

3 white tins

This equals 5 tins of paint.

If you multiply 5 tins by 3 times it will give you 15 tins of paint.

Now: 2 red tins x 3 = 6 red tins

3 white tins x 3 = 9 white tins

6 red tins + 9 white tins = 15 tins of paint

Answer:

She will need 6 tins of Red paint

Step-by-step explanation:

Answer:

x= 6

Step-by-step explanation:

[tex]\frac{1}{3}x^{2}-5=7\\[/tex]

Add 5 to both sides

[tex]\frac{1}{3}x^{2}-5+5=7+5\\\\\frac{1}{3}x^{2}=12\\[/tex]

Multiply both sides by 3

[tex]3*\frac{1}{3}x^{2}=12*3\\\\x^{2}=36\\[/tex]

x² = 6*6

Take square root,

√x² =√6*6

x = 6

Answer:

64/7 years

9.143 years

Step-by-step explanation:

[tex]Simple Interest = \\ \frac{Principal \times Rate \times Time}{100} [/tex]

[tex]Time = \frac{simple \: interest \times 100}{Principal \times Rate} [/tex]

[tex]Principal = 400 \\ Rate = 14 \\ Time = \\ simple \: interest = 512[/tex]

Input the values

[tex]Time = \frac{512 \times 100}{400 \times 14} \\ Time = \frac{51200}{5600} \\ [/tex]

[tex]Time = \frac{64}{7} \\ Time = 9.142 \: years \\ best \: answer \: = \frac{64}{7} years[/tex]

Answer:

6) C

8) A

Step-by-step explanation:

6) A=(base*height)/2 is the formula for a triangle.

8) yes

6. The formula that can be used to find the total amount of paint she will need if the entire space is painted is C) A= (8)(9)/2.

The area of the triangle is given as,

Area = (1/2)*(base)*(height)

Now it is given that,

Base of space = 8 feet

Height of space = 9 feet

Thus,

Area of the space = (1/2)*(base of space)*(height of space)

⇒ Area of the space = (1/2)*(8)*(9)

or, Area of the space =  (8)(9)/2

⇒ Area of the space = 36 square feet

Thus, the formula that can be used to find the total amount of paint she will need if the entire space is painted is C) A= (8)(9)/2.

To learn more about triangles :

https://brainly.com/question/20124564

8. The properties use to solve the equation 4x + 2 = 18 is C) The inverse property of addition and then the inverse property of multiplication.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

4x + 2 = 18

To solve the equation first using inverse property of addition

4x = 18 - 2

4x = 16

Now using inverse property of multiplication we get,

4x/4 = 16/4

x = 4

this is the required value of x.

Thus, the properties use to solve the equation 4x + 2 = 18 is C) The inverse property of addition and then the inverse property of multiplication.

To learn more about equation :

https://brainly.com/question/11720294

#SPJ2

Answer:

  A.  4.11 units

Step-by-step explanation:

It can be convenient to put one of these equations into general form, then use the formula for the distance from a point to a line.

In general form, the first equation is ...

  3x -y +9 = 0

So, the distance from a point to that line is ...

  ax +by +c = 0 . . . . . . equation of a line

  d = |ax +by +c|/√(a^2+b^2) . . . corresponding distance formula

  d = |3x -y +9|/√(3^2 +(-1)^2)

Using the y-intercept of the other line as the point of interest, we find its distance to the first line to be ...

  d = |3(0) -(-4)+9|/√10 = 13/√10 ≈ 4.11

The distance between the lines is about 4.11 units.

_____

Unless the lines are vertical or horizontal, you know the distance will be less than the difference between the x- or y- intercepts. Here, the y-intercepts are separated by 9-(-4) = 13 units. The x-intercepts are -3 and 4/3, so are separated by 4 1/3 units. Any answer choice larger than 4.33 cannot be correct.

Answer:

[tex]1 \frac{1}{15}[/tex]

Step-by-step explanation:

Hey there!

Well when dividing fractions you need to use Keep, Change, Flip.

[tex]\frac{8}{6} / \frac{5}{4}[/tex]

Keep, Change, Flip

[tex]\frac{8}{6} * \frac{4}{5}[/tex]

[tex]\frac{32}{30}[/tex]

Simplified

16/15

[tex]1 \frac{1}{15}[/tex]

Hope this helps :)

Answer:

The answer is 16/15 or 1 1/15.

Step-by-step explanation:

First, you have to multiply it by converting the second fraction upside down:

[tex] \frac{8}{6} \div \frac{5}{4} [/tex]

[tex] = \frac{8}{6} \times \frac{4}{5} [/tex]

Next, you have to cut out the common terms and multiply all:

[tex] \frac{8}{6} \times \frac{4}{5} [/tex]

[tex] = \frac{8}{3} \times \frac{2}{5} [/tex]

[tex] = \frac{16}{15} \: \: or \: \: 1 \frac{1}{15} [/tex]

Answer:

702*10-4

7020-4(because first we should do multiplication)

7016

stanndard notation=7.016

Answer:

repeating decimal/number

Step-by-step explanation:

If you divide 11 by 24, you get 0.458333333...

The 3 gets repeated, so 11/24 is a repeating decimal/number

Answer:

(2, 10)

Step-by-step explanation:

y = (x - h)² + k

vertex = (h, k)

= (2, 10)