The graph below represents the function f(x) and the translated function g(x).
AVA
2x
/g(x)
a
If f(x) = x, which of the following functions could be an algebraic representation of g(x)?

Count the multiples of 12:

⌊1000/12⌋ = 83

(where ⌊x⌋ denotes the "floor" of x, or the largest integer that is less than or equal to x)

These are the integers

{12, 24, 36, 48, …, 996}

Count the multiples of 15:

⌊1000/15⌋ = 66

These are

{15, 30, 45, 60, …, 990}

Count the multiples of both 12 and 15; these are multiples of LCM(12, 15) = 60:

⌊1000/60⌋ = 16

These are

{60, 120, 180, 240, …, 960}

Now use the inclusion/exclusion principle to count the multiples of either 12 or 15, but not both:

83 + 66 - 2•16 = 117

Among the multiples of 12 and the multiples of 15, we count the numbers that are multiples of both 12 and 15. By subtracting the number of multiples of both (16), we get the count of integers that are either divisible by 12 or 15. We subract 16 again to remove those that are divisible by both 12 and 15.

Answer:

D) t = 5

Step-by-step explanation:

when t =5 both functions have the same x and y value

Answer:

6 candies

Step-by-step explanation:

(find unit rate, cost / quantity)

35/10 = 3.5

20/3.5 = = 5.7142857142857

candies cannot be in decimal so you must round to the nearest whole

9514 1404 393

Answer:

  B.  15/8

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent relation is ...

  Tan = Opposite/Adjacent

The side opposite the 62° angle is marked 15.

The side adjacent the 62° angle is marked 8.

Then the tangent ratio for 62° is ...

  tan(62°) = 15/8

Answer:

Step-by-step explanation:

h(8) = -8 - 7

h(8) = -15

f(3) = -(3)² + 8(3) - 11

f(3) = -9 + 24 - 11

f(3) = 4

h(8) - 2 f(3) = -15 - 2(4) = -23

The value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Functions f(x) = -x²+8x-11 and

h(x)=-x-7

h(-8) = -8 - 7

h(-8) = -15

f(3) = -(3)² + 8(3) - 11

f(3) = -9 + 24 - 11

f(3) = 4

= h(8) - 2 f(3)

= -15 - 2(4)

= -23

Thus, the value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.

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Answer:

c.

Step-by-step explanation:

Plug in -2 for x ....

f(x) = -2^3 - 7(-2)^2 + 3

     = -8 - 28 + 3

     = -36 + 3

     = -33

Plug in 3/4 for x ....

f(x) = 3/4^3 - 7(3/4)^2 + 3

     = 27/64 - 63/16 + 3

The put in decimals ....

27/64 = .422

63/16 = 3.938

Put the decimals back into the equation ....

     = .422 - 3.938 + 3

     = -3.516 + 3

     = -.516

Probability that it rains and you go over in data tomorrow = 0.0539

Percentage of time it takes to go over your data limit = 49%

Probability that you go over your data limit, P(data) = 49/100

P(data) = 0.49

The chance that it rains tomorrow = 11%

Probability that it rains tomorrow, P(rain) = 11/100

Probability that it rains tomorrow, P(rain) = 0.11

Probability that it rains and you go over your data tomorrow = P(rain) x P(data)

Probability that it rains and you go over in data tomorrow = 0.11 x 0.49

Probability that it rains and you go over in data tomorrow = 0.0539

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Answer:

1  C

2  A

Step-by-step explanation:

1 C No it cannot be defined because A and B are not congruent

2  A Yes, the lines will remain parallel

PS. It's only 50 points because two answers are allowed. Each answerer gets half.

Answer:

$3

Step-by-step explanation:

https://brainly.com/question/16432745

Hello there!

We are given two points.

We use the following formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{4-7}{0-(-1)}[/tex]

[tex]\frac{4-7}{0+1} \\\frac{-3}{1} \\-3[/tex]

So the slope is -3. Hope it helps!

~Just a cheerful teen

#CarryOnLearning

[tex]SilentNature[/tex]

Answer:

[tex]\boxed{\boxed{\sf Slope: -3}}[/tex]

Step-by-step explanation:

To find the slope of a line given the coordinates of two points on the line, use the slope formula.

[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.

[tex]\sf Points: \left(-1,\:7\right)\: and\: \left(0,\:4\right)[/tex]

[tex]\boxed{\sf \left(x_1,\:y_1\right):\left(-1,\:7\right)}[/tex]

[tex]\boxed{\sf \:\left(x_2,\:y_2\right):\left(0,\:4\right)}[/tex]

[tex]\longmapsto\sf slope\:(m)=\cfrac{4-7}{0-\left(-1\right)}[/tex]

[tex]\longmapsto\sf slope\:(m)=-3[/tex]

_________________________________

Answer:

1/2

Step-by-step explanation:6/12 is 1/2 of the fraction meaning that 6/12 is = to 1/2.

Answer:

12 / 12

Step-by-step explanation:

LCM of 12 and 2 = 12

1 / 2

= ( 1 / 2 ) x ( 6 / 6 )

= ( 1 x 6 ) / ( 2 x 6 )

= 6 / 12

6 / 12 + 1 / 2

= 6 / 12 + 6 / 12

= ( 6 + 6 ) / 12

= 12 / 12

9514 1404 393

Answer:

  yes

Step-by-step explanation:

There are 20 ways to choose the first student, 19 ways to choose the second student, and 18 ways to choose the third student. Chosen this way, the same three students can be chosen 3×2×1 = 6 different ways. So, the number of different choices of 3 students will be ...

  (20×19×18)/(3×2×1) = 1,140

There are easily enough different combinations of 3 students to have a different combination each day.

_____

Additional comment

The number found above is the number of combinations of 20 students taken 3 at a time: 20C3 or C(20, 3). The value can be computed from ...

  nCk = n!/(k!(n-k)!)

C) x – 3 ≥ 6

Solving this inequality by adding 3 on both sides, we get

x ≥ 9 which is shown on the number line

Answer:

1. 3 × Equation [A2] --> Equation [B2]

2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]

Step-by-step explanation:

1. 3 × Equation [A2] --> Equation [B2]

Technically 1 x equation [A1] --> equation [B2] works, but I doubt you're meant to do that lol

Instead, this works:

4x × 3 = 12x

-7y × 3 = -21y

8 × 3 = 24

2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]

(-3x × 4) + 12x = -12x + 12x = 0x

(2y × 4) + -21y = 8y - 21y = -13y

(7 × 4) + 28 = 28 + 24 = 52

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

I'll try to explain my process a little this time.

From A to B, you can see that equation 2 changed. Looking at the first term, 4x changed to 12x. Thats a multiplier of 3, and you can check that on the rest. In this case, that works.

Then from B to C, equation 2 changed again. This time, I noticed that x was canceled out. That means -12x had to have been added to 12x. In equation 1, theres a -3x. 4 times that is -12, and adding -12x to equation 2 works. Check that with the rest, and they all work.

The lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.

The lower bound is the smallest value that would round up to the estimated value.

The upper bound is the smallest value that would round up to the next estimated value.

Here the number 1000 is rounded to the nearest 100 will be:

The Lower bound will be 950.

The Upper bound will be 1050

Hence the lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.

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Answer:

$their down payment is $280 the percentage of the purchase is $2.8

Step-by-step explanation:

y=(2/5)x + 1

that is the answer

Answer:

y=2/5x+1

Step-by-step explanation:

y=mx+b

m=2/5

b=1

Hope this helps :)

Answer:

30x t 78

Step-by-step explanation:

The Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.

Since the Lamborghini Sports Car reaches a maximum speed of 200km / h in 15.50s, the McLaren Sports Car displays the same time as the Ferrari Sports Car, the Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car, and the Renault Sports Car is three tenths of a second faster than the McLaren Sports Car, to determine what time does the Renault Sports Car displays to reache a maximum speed of 200km / h the following calculation must be performed:

Therefore, the Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.

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Answer:

Step-by-step explanation:

(-4,-5) and (6,4)

Slope: (4 - - 5) / ( 6 - - 4) = 9/10

y-intercept= - 5 - (9/10)(-4)

= - 5 + 36/10 = -7/5

y = 9/10x - 7/5

The equation of the line is x + 10y -19 = 0.

We are given that;

The points of line segment= (6,4) and (-4,5)

Now,

To find the equation of a line given two points, we can use the two-point form formula:

y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1)

where (x 1, y 1) and (x 2, y 2) are the two given points and (x, y) is any point on the line.

We have:

(x 1, y 1) = (6,4)

(x 2, y 2) = (-4,5)

Substituting these values into the formula, we get:

y − 4 = 5 − 4 -4 − 6 ( x − 6)

Simplifying and rearranging, we get:

y = -1/10 x + 19/10

This is the equation of the line in slope-intercept form. We can also write it in standard form by multiplying both sides by 10 and moving all terms to one side:

x + 10y -19 = 0

Therefore, by equation the answer will be x + 10y -19 = 0.

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Answer:

To make things easier if you were to find the angle of any exterior angle on a triangle, you can always add up the two remote interior angles in order to get the exterior angle on a triangle. So in this case 76 and 52 added up is 128

m<1= 128

For the first one (i think)

Well the triangles do give away the fact that 66 and 84 are in one of the shape. We know a triangle has 3 angle measures and if added up it would equal to 180.

66+84+x=180

You’d get x=30

Now we have 30 as angle 1.

angle 3 and 84 degrees are supplementary so we can just do

84+y=180 which in this case is 96 so angle 3 is 96

Now we need to find 2, we know that 3 is 96 and we have a 43 degrees already given. It’s a triangle so same thing

96+43+n=180

in this case n is angle 2 and the measure of angle 2 is 41 degrees.

Final answers:

m<1=30

m<2= 41

m<3= 96

Answer:

Step-by-step explanation:

1 = 76+52=128

=180-128

     =30

    2.    96+43=139    180-139=

    =41

     3.180-84

    =96

Answer:

Step-by-step explanation:

To find x

Â= 180⁰-8x (angle on a straight line)

B= 180- 9x (angle on a straight line)

:. G + Â + B = 180⁰ ( sum of angles in a triangle)

5x + 180⁰ - 8x + 180⁰ - 9x = 180⁰

5x -8x - 9x + 180⁰ +180⁰ = 180⁰

-12x + 360⁰ = 180⁰

360⁰ - 180⁰ = 12x

180⁰ = 12x ( divide both sides by 12)

x = 15⁰

his average speed as he ran: V = S/t = 100/12 = 25/3 (m/s)

ok done. Thank to me :>

Speed is the time rate at which an object is moving along a path. 25/3 is the average speed as he ran

Speed is the time rate at which an object is moving along a path.

Speed =Distance/Time

His average speed as he ran:

V = S/t

Hundred by twelve.

= 100/12

Divide numerator and denominator by four.

Twenty five by three.

Average speed= 25/3 (m/s)

Hence if Andre ran a 100 meter race in 12 seconds. 25/3 is the average speed as he ran

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Step-by-step explanation:

cheese : pepperoni : sausage : mushroom =

10 : 7 : 5 : 8

so, in total there are 10+7+5+8 = 30 "business pieces".

to get the total number of pizzas, we need to see how many pizzas are sold per "business piece" ?

we get this from the 35 orders of pepperoni pizzas.

these 35 orders represent 7 "business pieces".

that means 1 "business piece" = 35/7 = 5 pizzas.

that means that 30 "business pieces" are 5×30 = 150

so, in total, 150 pizzas were ordered.

hence , 2√5 = √20

Answer:

Chips= $20    Pretzel=$15

Step-by-step explanation:

Sara bought 2 Chips + 3 Pretzels = $85

(Extra) 1 Chips + 2 Pretzels = $50

Pretzels are twice as much as chips so above ^^ Can be expressed

as Pretzel (15) + Pretzel (15) + Chips(20) = $50

Now lets go back to the first line Putting in the new prices

Chips(20) + Chips(20) + Pretzel(15) + Pretzel(15) = Pretzel(15) = $85