Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?

1. An equation representing the number of days Amir has been reading and the number of pages he has read is y = 35x.

2. An equation representing the number of days Jesse has been reading and the number of pages she has read is y = 30 + 30x.

3. The system of equations from 1 and 2 is y = 35x and y = 30 + 30x.

4. At the end of Friday, after solving the equations, both Jesse and Amir read 210 pages each, with Jesse spending 7 days and Amir 6 days.

5. For Jesse and Amir, the equation solutions are y is 210 pages and x is 6 days.

6. After solving the equations, it will take Amir 6 days to catch up with Jesse and each person must have read 210 pages or a total of 420 pages.

A system of equations involves using more than one equation solved simultaneously.

Jesse's reading rate per day = 30 pages

Amir's reading rate per day = 35 pages

The number of pages read by Jesse, y = 30 + 30x

The number of pages read by Amir, y = 35x

Where x = the number of days they have been reading

y = 30 + 30x and y = 35x

35x  = 30 + 30x

35x - 30x = 30

5x = 30

x = 6 (30/5)

y = 30 + 30x

y = 30 + 30(6)

y = 210

y = 35x

y = 35(6)

y = 210

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Answer:

80 grams of butter

Step-by-step explanation:

640/2=329

3x320=960

960-880=80

Answer:

4 x -1.5 = -6

-6 + 11 = 5

hope this is correct if so brainlest would be appreciated.

Answer:

n = - 3/2

Step-by-step explanation:

4n + 11 = 5

4n = 5 - 11

n = -6/4 = - 3/2

The linear function that predicts the number of cars that will be sold at a price of x dollars is y = -0.05x + 11580.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

To determine the linear function that predicts the number of cars sold we need to find the slope of the equation.

The two coordinated given are:

(x1, y1) = (52000, 8980)

(x2, y2) = (57000, 8730)

The slope of the equation is given by:

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

m = (8730 - 8980) / (57000 - 52000)

m = - 0.05

Substituting the value of the coordinates and slope in the point-slope form we have:

y - y1 = m (x - x1)

y - 8980 = -0.05(x - 52000)

y - 8980 = -0.05x + 2600

y = -0.05x + 11580

Hence, the linear function that predicts the number of cars that will be sold at a price of x dollars is y = -0.05x + 11580.

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9514 1404 393

Answer:

  x = -25/3

Step-by-step explanation:

Multiply by the inverse of the coefficient of x. Reduce the fraction.

  (-5/2)(10/3) = (-5/2)(x/(-5/2))

  -50/6 = x = -25/3

Answer:

-25/3

Step-by-step explanation:

the other person is also correct. khan said so

Answer:

x=124

Step-by-step explanation:

Hope this helps

the whole is 180

180-48 is 132

132-8 = 124

Answer:

w = 124 degrees

Step-by-step explanation:

The straight line is equal to 180 degrees, so 48 + (w+8) = 180.

40 + (w+8) = 180

40 + w + 8 = 180

w + 40 + 8 = 180

w + 48 = 180

w + 48 - 48 = 180 - 48

w = 124 degrees

Answer:you add $127+ $145

Step-by-step explanation:It was asking for the cost if the charity pays for section 1 and 2 so you just add.

If a triangle has one side length of 9cm and another side of .12cm . The 3 possible answers for the third side​ are:  17, 20, and 21.

To determine the possible lengths for the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

Using this theorem, the possible lengths for the third side can be found by checking which of the following inequalities hold:

   9 + 12 > x

   9 + x > 12

   12 + x > 9

Simplifying these inequalities, we get:

   x > -3 (always true)

   x > -9 (always true)

   x > -3 (always true)

Therefore, the possible lengths for the third side of the triangle must satisfy x > -9, which eliminates the answer 3 (which is less than 9 - 12 = -3).

The possible lengths for the third side are:

   9 + 12 > x, so x < 21

   9 + x > 12, so x > -3

   12 + x > 9, so x > -3

Therefore, the possible lengths for the third side of the triangle are:

   17 (9 + 12 = 21, which is greater than 17)

   20 (9 + 12 = 21, which is greater than 20)

   21 (9 + 12 = 21, which is equal to 21)

So, the three possible lengths for the third side of the triangle are 17, 20, and 21.

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The complete question is:

A triangle has one side length of 9

centimeters (cm) and another side length of 12

cm.

Which answers are possible lengths for the third side?

Select three that apply

17

22

9

21

20

3

Answer:

\(f(x)=0.2\,(x-2)^2+1\)

Option "B" as per the list of possible answers

Step-by-step explanation:

Notice that the parabola has a minimum at the point (2, 1), therefore first look at which of the options gives you  \(f(2) = 1\). You would be able then the discard the last two functions listed (they render "-1" (not 1) for x = 2.

Now to decide between the first and the second option, notice that the first option has a negative coefficient (-0.2) multiplying the perfect square \((x-2)^2\) which means that the branches of such parabolic function would be pointing down. So you discard the first option, and now the only one left is the second option:

\(f(x)=0.2\,(x-2)^2+1\)

which you can check briefly by evaluating a couple of easy points  (like what values you get for x = 0, and at x = 4, and confirm it is the correct option.

Answer:

14 months

Step-by-step explanation:

1/3 x 12 = 4.

1/3 x 2 = 2/3.

12 + 2 = 14.

It will take her 14 months.

Hope this helps! :)

Answer:

(-2, 33) and (5, - 16)?

A. 7x- y=51

B. 7x+ y= -47

C. 7x+ y= -14 D. 7x+y= 19

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

I hope I helped have a great day.

The volume of the rectangular prism is 208cm³

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width

length = 2cm

width = 13 cm

height = 8cm

base area = 13× 2 = 26cm²

Volume of the prism = 26× 8 = 208cm³

Therefore the volume of the rectangular prism is 208cm³.

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The answer is 6 because if you take your mouse and see how many times it can go through twelve it will be 6 and if you printed that out and cut off X and put it on 12 it will be half way to the end of 12

Given data:

The given parallelogram.

The adjacent angles in parallelogram are supplementary in nature.

Substitute the given values in the above expression.

Thus, the angle O is 59 degrees.

9514 1404 393

Answer:

  88 square inches

Step-by-step explanation:

The figure can be divided into two congruent trapezoids, each with bases 7 and 4 inches, and height 8 inches. Then the total area is ...

  A = 2(1/2)(b1 +b2)h

  A = (7 +4)(8) = 88 . . . . square inches

Answer:

a smaller version of the shape think :)

Answer:

$657.09

Step-by-step explanation:

The area of the carpet is:

21 × 9 = 189 Square foot

189 foot² = 21 yard²

We know 1 yard² = $31.29

So 21 yard² = 21 × $31.29 = $657.09

Answer:

4,900

Step-by-step explanation:

if it is 4 or less it stays the same

if it 5 or more add 1 more

Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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The volume of the water is: \(\pi (2)^2(8) - 6 (\frac{4}{3} \pi (1.5)^3)\)

The volume of a cylinder is;

\(V = \pi r^2h\)

For the cylinder, we have:

\(d = 4\) -- diameter

\(h = 8\) --- height of the water in the cylinder

The radius of the cylinder is:

\(r =d/2 = 4/2 = 2\)

So, the volume is:

\(V = \pi * 2^2 * 8\)

\(V = \pi * (2)^2 (8)\)

For the 6 marbles, we have:

\(d = 3\) --- the diameter of each

The shape of the marble is a sphere. So, the volume of 1 marble is:

\(V = \frac{4}{3}\pi r^3\)

The radius of 1 marble is:

\(r = d/2 = 3/2 = 1.5\)

So, the volume of 1 marble is:

\(V_1 = \frac{4}{3} * \pi * (1.5)^3\)

Multiply both sides by 6 to get the volume of the 6 marbles

\(6 * V_1 = 6 * \frac{4}{3} * \pi * (1.5)^3\)

\(6V_1 = 6 * \frac{4}{3} * \pi * (1.5)^3\)

\(6V_1 = 6 (\frac{4}{3} \pi (1.5)^3)\)

Recall that the volume of the cylinder is:

\(V = \pi * (2)^2 (8)\)

The volume of the water in the marble is the difference between the volume of the cylinder and the volume of the 6 marbles

So, we have:

\(Volume = \pi (2)^2(8) - 6 (\frac{4}{3} \pi (1.5)^3)\)

The expression \(V = \pi \cdot (2\,in)^{2}\cdot (8\,in) -6\cdot \left[\frac{4\pi}{3}\cdot (1.5\,in)^{3} \right]\) can be used to calculate the volume of water in the vase.

As vase is of cylindrical form and the six marbles are spherical, we shall derived an expression from volume formulas respective to Cylinder and Spheres. Firstly, we know that volume of water in the vase is equal to the Volume of the vase minus the volume occupied by the six marbles, that is to say:

\(V = V_{v}-6\cdot V_{m}\) (1)

Where:

\(V_{v}\) - Volume of the vase, in cubic inches.

\(V_{m}\) - Volume of the marble, in cubic inches.

\(V\) - Volume of water in the vase, in cubic inches.

Then, we expand (1) by volume formulas for the cylinder and sphere:  

\(V = \pi\cdot R^{2}\cdot H - 6\cdot \left(\frac{4\pi}{3} \cdot r^{3} \right)\) (2)

Where:

\(R\) - Radius of the vase, in inches.

\(H\) - Height of the vase, in inches.

\(r\) - Radius of the marble, in inches.

If we know that \(R = 2\,in\), \(H = 8\,in\), \(r = 1.5\,in\), then the following expression can be used to calculate the volume of water in the base:

\(V = \pi \cdot (2\,in)^{2}\cdot (8\,in) -6\cdot \left[\frac{4\pi}{3}\cdot (1.5\,in)^{3} \right]\)

In a nutshell, the expression \(V = \pi \cdot (2\,in)^{2}\cdot (8\,in) -6\cdot \left[\frac{4\pi}{3}\cdot (1.5\,in)^{3} \right]\) can be used to calculate the volume of water in the vase.

Answer:

width is 89ft

Step-by-step explanation:

divide the area by length

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

The one you have selected is the right answer 126 times pi

Step-by-step explanation:

Exact answer - 395.840674

The surface area of the right cylinder from the following is A. 126π unit².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given is a three dimensional cylinder.

The formula to find the surface area of a cylinder is,

Surface area = 2πrh + 2πr²

where r is the radius of the base of the cylinder and h is the height of the cylinder.

Given,

Radius = 7 and height = 2

Surface area =  2π [(7 × 2) + (7²)]

                      = 2π [14 + 49]

                      = 126π

Hence the surface area of the right circular cylinder shown is 126π unit².

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To show that Sk - ku is a martingale, we need to show that it satisfies the two properties of a martingale:

Sk - ku is integrable for all k.

For any k, E[Sk+1 - ku+1 | E0,...,Ek] = Sk - ku.

First, we show that Sk - ku is integrable for all k:

E[|Sk - ku|] = E[|(X1 + ... + Xk) - k|]

= E[|X1 + ... + Xk| - k] (using linearity of expectation)

≤ E[|X1| + ... + |Xk|] + k (by triangle inequality)

= kE[|X1|] + ... + kE[|Xk|] + k (using linearity of expectation)

= kE[|X1|] + ... + kE[|X1|] + k (since Xi are IID)

= kE[|X1|] + k (since there are k terms)

< ∞ (since E[|X1|] is finite)

Therefore, Sk - ku is integrable for all k.

Next, we show that for any k, E[Sk+1 - ku+1 | E0,...,Ek] = Sk - ku:

E[Sk+1 - ku+1 | E0,...,Ek] = E[(X1 + ... + Xk+1) - (k+1) | E0,...,Ek]

= E[(X1 + ... + Xk) + Xk+1 - (k+1) | E0,...,Ek]

= E[(X1 + ... + Xk) - k | E0,...,Ek] + E[Xk+1 | E0,...,Ek]

= Sk - ku + E[Xk+1] (by the martingale property of Sk - ku)

= Sk - ku + u (since the mean of X1, X2, ... is u)

Therefore, Sk - ku is a martingale.

Now, we can use the optional stopping theorem to prove that E[ST] = uE[T]:

By the optional stopping theorem, we have:

E[ST] = E[(Sk - ku)(T - k) + Sku]

= E[(Sk - ku)(T - k)] + E[Sku]

= E[E[(Sk - ku)(T - k) | E0,...,Ek]] + E[Sku] (using law of total expectation)

= E[(Sk - ku)E[T - k | E0,...,Ek]] + E[Sku] (using linearity of expectation)

= E[(Sk - ku)(E[T | E0,...,Ek] - k)] + E[Sku] (using law of total expectation)

= E[(Sk - ku)(T - k)] + E[Sku] (since T is a bounded stopping time)

= E[SkT - kuT - kS + ku] + E[Sku]

= E[SkT] - uE[KT] - kE[S] + ku + E[Sku] (using linearity of expectation)

= uE[KT] - uE[KT] - kE[S] + ku + E[Sku] (using the optional stopping theorem)

= ku + E[S(T-k)]

= ku + E[Sk - k^2] (since T is a stopping time)

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Answer:

C. 30 feet per second

Step-by-step explanation:

Looking at the graph, after 5 seconds, the balloon reaches 150 feet

at 10 seconds, it reaches 300 feet

Slope m = (y2-y1)/(x2-x1) = (300 - 150)/(10 - 5) = 150/5 = 30

y = mx + b

300 = 30(10) + b

300 = 300 + b

b = 0

then y = 30x

This shows that 76 cookies will be made with the total pounds of cookies

Fractions are written as a ratio of two integers. Given the following parameters

Total pounds of cookies made = 4 3/4 pounds

Total pounds of cookies made = 19/4 pounds

If he uses 1/16 pound of dough for each cookie, the total amount of cookies made is given;

Number of cookies = 19/4 ÷ 1/16

Number of cookies = 19/4 * 16/1

Number of cookies = 19 * 4

Number of cookies = 76

This shows that 76 cookies will be made with the total pounds of cookies

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Answer:

2,251,926

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

b is  correct.