Fill out the following data table using the equation y=3x-5

Answer:

The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]

Step-by-step explanation:

The given statement can be converted into a mathematical equation step by step.

First of all, we have to suppose a variable for the number as we don't know the exact number.

So,

Let x be the number then

five times a number => 5x

The sum of 10 and five times a number => 5x+10

the difference of the number and 6 => x-6

Putting in equation form we get

[tex]5x+10 = x-6[/tex]

Hence,

The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]

Answer:

An open circle at 2, and an arrow facing left.

Answer:

The total number of miles you will be traveling for the entire round trip is 125650 miles.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

The question states that 1 inch = 4 miles. Therefore, if you multiply 31412 inches by 4, you will get the total number of miles you will be traveling for the round trip.

31412 × 4 = 125650

Therefore, the total number of miles you will be traveling for the entire round trip is 125650 miles.

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Answer:

[tex]\displaystyle f'(1) = 6[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]  

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = 5x - 1 + \ln x[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

(D) 400 + 400(0.32)

Step-by-step explanation:

We need to find the price of a $400 telescope after a 32% markup.

32% markup means increase in the cost of telescope by 32%. It can be calculated as follows :

[tex]P=400+32\% \ of\ 400\\\\=400+\dfrac{32}{100}\times 400\\\\=400+0.32(400)[/tex]

Hence, the correct expression is option (d).

Answer:

(D) 400 + 400(0.32)

Step-by-step explanation:

We need to find the price of a $400 telescope after a 32% markup.

32% markup means increase in the cost of telescope by 32%. It can be calculated as follows :

Step-by-step explanation:

Answer:

-0.29629629629 or -0.3

Step-by-step explanation:

first do (-2/3)*(-4 1/2) which is 3

then divide (-8/9) by 3 and you get -0.29629629629 which can be rounded to -0.3

The Answer will be -8 using fraction operation.

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

First solve the 2nd part which is

[tex]\frac{-2}{3}*-4\frac{1}{2} \\=3[/tex]

Now -8/3 * 3 = -8

Hence the answer for the given question will be -8.
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Answer:

(0, 10 )

Step-by-step explanation:

5 units up means add 5 to the y- coordinate

3 units left means subtract 3 from the x- coordinate

Translation rule is

(x, y ) → (x - 3, y + 5 ) , thus

(3, 5 ) → (3 - 3, 5 + 5 ) → (0, 10 )

Answer:

Step-by-step explanation:

Given the quadratic equation x^2-19x+9=0 re arranging we have;

x^2-19x+9 - 9=0 -9

x^2-19x = - 9

In order to complete the square we would add  a number to both sides and the number will be the square of the half of coefficient of x in the expression as shown.

Coefficient of x = -19

half of coefficient of x = -19/2

square of the half of coefficient of x = (-19/2)²

square of the half of coefficient of x = 361/4

square of the half of coefficient of x = 90.25

Hence the number that would have to be added to "complete the square" is 90.25

The answer would be 10x + 5

Hello!

The answer is 10x + 5!

Hopefully this helps! <3 ^^

Answer:

9 7/10 is a decimal number is 9.7

Answer:

15

Step-by-step explanation:

subtract 12 on both sides and you get

x=27-12

x=15

Answer:

I think your answer is 15

Step-by-step explanation:

Hope this helped  you

Answer:

Let the number of popcorn be x and the number of drinks be y, then according to the question we have the following equation

.................> linear equation

To sketch the graph first we need to find two points on it.

EXAMPLE

put x=0, we get y=10

put y=0, we get x=6

Thus, we have points (0,10) and (6,0), now sketch a line through it .

Thus in the graph x - axis represents the number of popcorn and y axis represents the number of drinks.

The slope of the graph is

Step-by-step explanation:

Answer:

Slope of line having points (3,-5) and (2,-2) is 3 and since the slope is positive do it rises. Option C is correct option.

Step-by-step explanation:

The formula calculate to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given points (3,-5) and (2,-2) so,

[tex]x_1=3, y_1=-5, x_2=2, y_2=-2[/tex]

Putting values in formula and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{2-3}\\Slope=\frac{-2+5}{1}\\Slope=3[/tex]

So, Slope of line having points (3,-5) and (2,-2) is 3 and since the slope is positive do it rises. Option C is correct option.

Answer: R = x^2/y^3

Step-by-step explanation:

here we will use the relation:

x^a/x^b = x^(a - b)

We know that:

Length = x^3*y^4

Width = x*y^7

And we want to find an expression that represents the ratio between the length and the width.

Then we just need to take the quotient Lenght/width or:

R = ( x^3*y^4)/(x*y^7)

Now first let's distribute in such way the x's and the y's are separated, and then let's use the relationship that is above.

= (x^3/x)*(y^4/y^7) = x^(3 - 1)*y^(4 - 7) = x^2*y^-3

R = x^2/y^3

The ratio of the length of the rectangle to the width of the rectangle is  [tex]\frac{x^{2} }{y^{3} }[/tex]

Given that,

Area of rectangle is multiplication of length and width of rectangle.

length of rectangle [tex]=x^{3} y^{4}[/tex] inches

Width of  rectangle  [tex]=xy^{7}[/tex] inches.

the ratio of the length of the rectangle to the width of the rectangle is,

                 [tex]=\frac{x^{3}y^{4} }{xy^{7} } =\frac{x^{2} }{y^{3} }[/tex]

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Answer:

NO

Step-by-step explanation:

[tex]4x^{2} -4x+1=0\\(2x-1)(2x-1)=0\\x=1/2[/tex]

Answer:

Locke, Rousseau and Montesquieu agreed that nations would be built on social institutions, or even what Montesquieu considered a legislation which would describe the laws of the country and put in concrete what privileges the citizens and the state have.

Answer:

d 18,328

Step-by-step explanation:

I did the math >:3

sorry if it's wrong

Answer:

Domain: (-∞,∞)

Range: (-∞,∞)

**All real numbers, ℝ is an alternative to (-∞,∞)

x-intercept: -3

y-intercept: 5

Answer:

148°

Step-by-step explanation:

it is very close to the 150 line and the option closest to 150 is 148

Answer:

400

Step-by-step explanation:

240/60=4, meaning 4 people per every percentage. Which when 4 is multiplied by 100, you get 400=100%

Answer:

400

Step-by-step explanation:

60/100  =  240/?

Bat and Ball ( when do proportional table make a x like shape between/through each number. The number going diagainal multiplies, number next to number is used to divide the product of the diagainal numbers.)

240 x 100 = 24,000

24,000 divided 60 = 400

400 were survreyed

Answer:

30x=48+22×

30x -22x=48

8x=48

x=6

Answer:

1. E , 2. JK , 3. L , 4. E , 5. LE

Step-by-step explanation:

JUST TOOK THE TEST.

Answer:

Complete the statements.

Point  

✔ E

is the midpoint of side  

✔ JK

.

To finish the construction, draw a segment from vertex  

✔ L

to point  

✔ E

.

Then, segment  

✔ LE

is a median of triangle JKL.

Step-by-step explanation:

Answer:

Domain: (negative infinite, zero) U (0, infinite)

Range: ( negative infinite, -3) U (-3, infinite)

Step-by-step explanation:

I don't really know how to explain this because I can't use some symbols that are needed. But, yeah.

Answer:

3x+4=7x-8

Step-by-step explanation:

hoped it helped..

Answer:A

Step-by-step explanation:

The line touches the y axis at -1. The line then goes up 1 over 2 but since it’s on the bottom part of the graph it has the be negative. Y=-1/2X-1

Answer:

Slope = rise/run

          = -1/2              (negative because the slope is decreasing)

y - intercept = -1

Option A

y = -1/2x-1

Answer:

y= x + 2

Step-by-step explanation: