Isabell will rent a car for a day. The rental company offers two pricing options: Option A and option B. For each pricing option, cost (in dollars) depends on miles driven, as shown below. It’s Isabell drive the rental car 200 miles which option cost more?How much more does it cost than the other option?For what number of miles driven do the two options cost the same?If Isabell drives more than this amount, which option cost more?

To solve the presented question for X, every change we make in one of the sides of the equality, we must do the same to the other. This way, the equality remains. In the present case, we will subtract 15.09 in both sides, as it follows:

Answer:

[tex]x=\frac{289\pm \sqrt{1873}}{42}[/tex]

Explanation:

Let 'x' be the number of paint colors Maddie can buy.

She buys 4 paintbrushes that cost $3 each. This means that she already spent 4x3=$12 in paintbrushes. This amount plus the amount of money she'll spend in the paint colors must be at most $40:

Solving for x:

Since x must be a whole number (is the amount of paint colors) and it has to be less than 4.666... then Maddie can afford 4 paint colors

Answer:

Maddie can afford 4 paint colors

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The general equation of line passes through the point (x_1,y_1) and has slope m is,

Determine the equation of line passing through point (-2,8) and has slope of 2.

So answer is y = 2x + 12.

Answer:

(0,-4)

Step-by-step explanation:

write the coordinates of the point where the two lines intercept themselves

Answer:

A. (0,-4)

x is 0 and y is -4

The distane between two towns can be determined as,

Thus, the required distance is 286 miles.

Given

Graph

Procedure

Answer: The expression is not a coefficient, so it is a constant.

Step-by-step explanation:

Answer:

Constants are the terms in an expression that includes only numbers, the value of which does not change. Coefficient of a variable is the number written along with the variable in the term. So the expression 15y is a coefficient.

Answer:

-8b + 70

Step-by-step explanation:

4(1 − 2b) + 76 – 10.

4 - 8b + 76 - 10

-8b + 70

I hope this helps!

We want to make a four digit number using numbers 1, 3, 5 and 8 and allowing repetition.

Therefore, there is four possibilities each for the units, tens houndreds and thousands.

Then, the total number of possibilities is:

Answer:

π is an irrational number, so it is also a real number.

Answer:

Explanation:

Given the equation of the line as;

We can express y in terms of x by subtracting x from both sides of the equation;

Let the point on the line be P(x, y)

We'll use the below distance formula to determine the distance between point P(x, y) to the given point (6, 8) as seen below;

The average rate of change for the given quadratic function whose graph is shown on 0≤x≤4 is -1.

The average rate of change of the given quadratic function on the interval 0 ≤ x ≤1 is the slope of the secant line connecting the points (0,f(0)) and (1,f(1)).

That is the average rate of change is:

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

From the graph, f(0) is 0 and f(1) is -1

We plug in these values to obtain

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

This simplifies to;

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

= -1

Hence the average rate of change for the given quadratic function whose graph is shown on 0≤x≤4 is -1.

A quadratic function is a polynomial function that has one or more variables and the largest exponent of the variable is two. Since the term of the highest degree of a quadratic function is the term of the second degree,  it is also called a polynomial of degree 2. A quadratic function has at least one term that is a square term. This is an algebraic function.

The upper function of the square is of the form f(x) = x2 and  connects  points whose coordinates are of the form (number, number2). Transformations can be applied to this function, where it usually shows the form f(x) = a (x - h)2 k and can further  be transformed to f(x) = ax2 bx c. We will explore each of them in detail in the following sections.

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Answer:

between $10 and $20 for undecorated cookies; or between $12 and $25 for cookies

Step-by-step explanation:

First we have to visualize the points in a graph:

as we can see, the data is not symmetrical with respect the mean of the data, therefore, this data is not symmetric nor mound shaped

R y= x(x, y) —> (y, x) The rule for a reflection over the y -axis is (x,y)→(−x,y) After reflection we get DGFE.

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Answer:

x=12

Step-by-step explanation:

5x-22=4x-10

5x-4x=-10+22

x=12

 You can buy  8 hardbacks and 4 paperback textbooks.

This refers to two or more algebraic equations that have common variables and are resolved at the same time.

From the question:

Hardback books cost, H =$45

paperback books cost, P = $20.

The total amount to spend on textbooks =  $440.

The total amount of textbooks needed for the school year is Hardback  books+  paperback books= 12.

Solving Simultaneously we have:

H    +   P      = 12 ..............(i)

45H + 20P  = 440...........(ii)

Equation (i) * -20

-20H  - 20P = -240............(iii)

Add Equation (iii) and Equation (ii)

  45H + 20P  = 440...........(ii)

+   -20H  - 20P = -240............(iii)

We have:

25H = 200

H =200/25

H = 8

Substitute H = 8 into Equation (ii)

45(8) + 20P  = 440...........(ii)

360    +  20P = 440

collecting like terms:

20P =440 - 360  

20P = 80

Divide both sides by the coefficient of P

20P/20 =80/20

P= 4

Hence, You can buy  8 hardbacks and 4 paperback textbooks.

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Answer:

814 + 64 = 878

Step-by-step explanation:

just take the # from the previous day and add the 64.

When it says more, add when it says less, subtract.

Answer:

number is 4

Step-by-step explanation:

let n be the number then twice the number is 2n and the difference of the number and 3 is n - 3 , so

2n + 3(n - 3) = 11 ← distribute parenthesis and simplify left side

2n + 3n - 9 = 11

5n - 9 = 11 ( add 9 to both sides )

5n = 20 ( divide both sides by 5 )

n = 4

As a check

twice the number is 2 × 4 = 8

increased by 3 times the difference of n and 3 is

8 + 3(4 - 3) = 8 + 3(1) = 8 + 3 = 11 ← Correct

Answer: 0.11

Step-by-step explanation:

Suppose y represents the cost, x represents the number of pictures, then y=kx {positive proportional function}

when x=50, y=5.5

5.5=50k

k=5.5/50

k=55/500

k=0.11

Let's solve the following equation to see where Maya made a mistake:

2 (3x + 6) = 3 (x - 10)

Step 1: Solving parenthesis

6x + 12 = 3x - 30

Step 2: Like terms

6x - 3x = -30 - 12

Step 3: Complete the subtractions at both sides

3x = -42

Step 4: Dividing by 3 at both sides

3x/3 = -42/3

x = -14

Maya didn't multiply correctly 3 * - 10

Yes, Javionery, option B is the correct one.

Without doing any calculations, do you think Cylinder 1 and Cylinder 2 will have the same volume?

No, because the radius are different. In the first cylinder the radius is 4cm and 7cm in the second one.

The volume V of a cylinder is given by

where Pi is 3.1416, r is the radius and h is the height.

Then, the volume of cylinder 1 is

which gives

Now, the volume of cylinder 2 is

which gives

Therefore, the answer are

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]4x+3y=21\implies 3y=-4x+21\implies y=\cfrac{-4x+21}{3} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}}x+7\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-4}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-4}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-4}\implies \cfrac{3}{4}}}[/tex]

so we're really looking for the equation of a line whose slope is 3/4 and it passes through (4 , 2)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{3}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-2=\cfrac{3}{4}x-3\implies {\Large \begin{array}{llll} y=\cfrac{3}{4}x-1 \end{array}}[/tex]

Answer:

(b - 4)(b - 3)

Step-by-step explanation:

b² - 7b + 12

consider the factors of the constant term (+ 12) which sum to give the coefficient of the b- term (- 7)

the factors are - 4 and - 3 , since

- 4 × - 3 = + 12 and - 4 - 3 = - 7 , then

b² - 7b + 12 = (b - 4)(b - 3)

ANSWER

(7, -2)

EXPLANATION

We want to know the image point after a translation.

A translation is basically a shift in the position of the object.

The object point is (5, -5) and it translates 2 units right and 3 units up.

That means there is a shift +2 units on the x axis and +3 units on the y axis.

Therefore, the image point is:

(5 + 2, -5 + 3)

= (7, -2)

That is the image point.

SOLUTIONS

Giving that f(x)=3x^2-x-5, g(x)=-1 what is (f+g)(x)

Adding up the two function:

Therefore the correct answer is:

The graph p(x) = x² + 6 is a parabola. The equation can also be written as y = x² + 6.

A parabola follows the standard equation y = a (x - h)² + k where the vertex is (h,k).

From our equation y = x² + 6, we can convert this into a standard form which is y = 1 (x - 0)² + 6. Please take note that this standard form is just equal to the given equation.

From this converted standard form y = 1 (x - 0)² + 6, we can see that our h = 0, and our k = 6, therefore, our vertex is found at point (0,6).