The width of a rectangle measures (5.5d+9.7f)(5.5d+9.7f) centimeters, and its length measures (5.1d-3.5f)(5.1d−3.5f) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? A. 21.2d+12.4 B. 9.7−7f+21.2d C. 21.2d+12.4f D. 6.2+10.6d

Answer: d) y=4x+17

remember y=mx+b

good luck

Answer:

5200

Step-by-step explanation:

2000 x 20% = 400

400 x 8 = 3200

2000 + 3200 =5200

Answer:

Step-by-step explanation:

8*0.25-1+14

=2-1+14

=1+14

15

Hi There!!

I think your best answer is B). Look at the graph of the relationship. Count the number of units up and the number of units to the right one must

move to arrive at the next point on the graph. Write these two numbers as a fraction."

I'm not sure this is 100% right....

Hope This Helps!!

[tex]Brazts[/tex]

The correct statement will be : Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction.

Given,

Unit rate for a proportional relationship.

Here,

When the unit rate for proportional relationship is to be identified than count the number of units at y axis or vertical axis and the number of unit at x axis or horizontal axis .

Take ratios of these two values .

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Answer:

[tex]\frac{4}{3}[/tex] x² - [tex]\frac{19}{9}[/tex] x + [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given

(2x - [tex]\frac{5}{3}[/tex] )([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

2x([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] ) - [tex]\frac{5}{3}[/tex] ([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] ) ← distribute both parenthesis

= [tex]\frac{4}{3}[/tex] x² - 3x - [tex]\frac{10}{9}[/tex] x + [tex]\frac{5}{2}[/tex]

= [tex]\frac{4}{3}[/tex] x² - [tex]\frac{27}{9}[/tex] x - [tex]\frac{10}{9}[/tex] x + [tex]\frac{5}{2}[/tex]

= [tex]\frac{4}{3}[/tex] x² - [tex]\frac{37}{9}[/tex] x + [tex]\frac{5}{2}[/tex]

Answer/Step-by-step explanation:

A term is part of an expression, which could be a number, a number multiplied with a variable, a variable, or 2 variables multiplied together.

The terms in the given expression, [tex] - 60 + 7p - 3z [/tex], are [tex] -60, 7p, -3z [/tex].

Coefficient is the number that is multiplied by a variable.

The coefficients in [tex] - 60 + 7p - 3z [/tex], are: [tex] 7, -3 [/tex].

Answer:

Jeff is faster

Step-by-step explanation:

kilometers are faster than meters

and 7 kilometers is 700 meters

so 100 meters isn't fast enough compared to Jeff's speed

Jeff is faster than Cameron as his average speed is more than that of Cameron's average speed.

The average speed of a body is the ratio of the distance covered by the body to the time it takes to cover that distance.

In the question, we are given that Jeff says that he can run 7 kilometers per hour while Cameron says that he can run 100 meters per minute.

We are asked to tell who is the faster among them.

We need to know that, 1 kilometer = 1000 meters, and 1 hour = 60 minutes.

Jeff's average speed = 7 km/hr. = 7km/1hr = (7*1000) m / (1*60) min

or, Jeff's average speed = 7000/60 meters per minute = 116.67 meters per minute.

We are given that Cameron's average speed is 100 meters per minute.

So, we can say that Jeff is faster than Cameron, as

Jeff's average speed > Cameron's average speed.

∴ Jeff is faster than Cameron as his average speed is more than that of Cameron's average speed.

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Answer:

4 minutes

Step-by-step explanation:

Given that:

Person 1's speed = 4 meters per minute

Anthony's speed = 4.5 meters per minute

To find:

In how many minutes, Anthony will be 2 meters ahead ?

Solution:

Let the time taken = [tex]t[/tex] minutes

Distance covered by 1st person = D meters

Distance covered by Anthony = (D + 2) meters

Formula:

Distance = Speed [tex]\times[/tex] Time

For 1st person:

[tex]D = 4 \times t[/tex] ....... (1)

For Anthony:

[tex]D+2 = 4.5 \times t[/tex]

Using first equation:

[tex]4t + 2 = 4.5t\\\Rightarrow 0.5t = 2\\\Rightarrow \bold{t = 4\ minutes}[/tex]

So, in 4 minutes, Anthony will be 2 meters ahead of the first person.

Answer:

The third image is the correct answer.

Step-by-step explanation:

Answer:

3rd graph

Step-by-step explanation:

The answer is the 3rd graph.

The third graph has all the given characteristics.

It decreases from negative infinity to 3.

It increases from 3 to infinity.

It has a minimum value of -2.

It has a y-intercept of (0, 7).

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

Explanation:

The given equation is y = (-3/4)x - 2. Comparing it to y = mx+b, the slope is m = -3/4

Flip the fraction and the sign to go from -3/4 to 4/3. This is the perpendicular slope. Multiplying the two slopes gets (-3/4)*(4/3) = -1.

Rule: the original slope and perpendicular slope always multiply to -1, assuming neither line is vertical or horizontal.

We'll use the point (x,y) = (3,6) and the perpendicular slope m = 4/3 to find the y intercept b

y = mx+b

6 = (4/3)(3) + b

6 = 4+b

6-4 = b

2 = b

b = 2

The y = mx+b equation becomes y = (4/3)x + 2 which is the slope intercept form of the perpendicular line.

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

Extra info:

If you want to convert to standard form Ax+By = C, then you could do the following steps

y = (4/3)x + 2

3y = 4x + 6 ... multiply everything by 3 to clear out the fraction

3y - 4x = 6

-4x + 3y = 6

4x - 3y = -6 ... multiplying both sides by -1; this is to make A > 0

Answer:

y = 2x

Step-by-step explanation:

Step-by-step explanation:

Let

y ----> the height in inches

x ----> the time in hours

we have the ordered pairs

(1, 2), (2, 4), and (3, 6).

step 1

Find the slope

take two points to calculate the slope

(2, 4), and (3, 6)

The formula to calculate the slope between two points is equal to

m = 2 in/h

step 2

Find the equation of the line in point-slope form

we have

m =2

point (2,4)

Convert to slope-intercept form

isolate the variable y

y = 2x

Answer:

h = -7

Step-by-step explanation:

I hope this helps!

Answer;

m<EAD=29°

m<CAB=119°

Step-by-step explanation:

Angles on a straight line sum up to 180°

This implies that,

61°+90°+EAD=180°

151°+EAD=180°

Subtracting 151° from both sides,we obtain,

EAD=180°-151°

EAD=29°

Angles on a straight line add up to 180°.

this implies that,

CAB+61°=180°

Subtracting 61° from both sides,we obtain

CAB=180°-61°

CAB=119°

Thus,m<EAD=29° and m<CAB=119°

Answer:

29° and 119°

Step-by-step explanation:

Since CF is a straight line, then

90° + ∠ EAD + 61° = 180°, that is

∠ EAD + 151° = 180°  ( subtract 151° from both sides )

∠ EAD = 29°

and

∠ CAB + 61° = 180° ( subtract 61° from both sides )

∠ CAB = 119°

Answer:

The answer is "[tex]\bold{11, \ 13, \ 15, \ 17, \ 19}[/tex]".

Step-by-step explanation:

In word problem, it is solved by 2k+1, among the most common forms of even an, unlike number.

Let another odd integer become 2k+1.....(a)

(2K+1)+(2k+3)+(2k+5)=(2k+7)+(2k+9)+3(to take the left side 3 extra)  

Quality for the k:

[tex]\to 6k+ 9 = 4k +19 \\\\\ \to 6k-4k= 19+9 \\\\ \to 2k = 10 \\\\ \to k = \frac{10}{2}\\\\ \to K = 5[/tex]

put the value of k, in the equation (a):

[tex]\to 2k+1 \\ \to 2(5)+ 1 \\ \to 10 + 1\\\to 11\\[/tex]

There are also 11, 13, 15, 17, and 19 episodes.  

Let's test it! Let's test it. 11+13+15=39  

17+ 19 = 36.  

So we're right, the first 3 integer numbers are 3 more than the last 2.

Answer:

11,13,15,17,19

I checked the RSM thingy

:)

Answer:

34

Step-by-step explanation:

Step-by-step explanation:

(A) To find inverse of f(x) = y = 1 / x - 3 :

Transform in terms of x

y = 1 / x - 3

x - 3 = 1 / y

x = 3 + 1 / y

Exchange x with y :

[tex] {f}^{ - 1} (x) = 3 + \frac{1}{x} [/tex]

Therefore, g(x) is not inverse of f(x) and vice versa.

(B)

Domain of f(x) = R - {3}

Domain of g(x) = R - {0}

Answer:

c = 2

Step-by-step explanation:

To solve this equation, you need to combine like terms and then divide by the coefficient of the variable on both sides of the equation.

To start, add 12c and 6c because they are like terms.

12c + 6c = 18c

Then, divide by 18 on both sides of the equation to solve for c.

18c = 36

----     ----

18      18

c = 2

Answer:

once have a short glance to the above solution.

The midpoint of AB is ( -0.5 , 0)

Answer:

d= -13

Step-by-step explanation:

-4 ( -d - 4 ) = - 4d + 6 (2d + 6 )

4d - 16 = -4d + 12d + 36

4d - 16 = 8d + 36

- 4d        - 4d

- 16 = 4d + 36

-36          -36

-52 = 4d

-52/4  4d/4

-13 = d  

Step-by-step explanation:

The 1st rectangle

16 *7=112

next triangle

find details

13-7=6

16-8=8

6*8

48÷2

24+112

136

Answer:

B

Step-by-step explanation:

The range of the function is {0, 3}.

The range of a function on a graph is the set of all possible output values (y-values) that the function can take. To find the range of the given function, we need to determine the y-values corresponding to the points where the function is defined.

Let's analyze the points provided:

The line crosses the x-axis at (-4, 0). This means the function's y-value is 0 when x = -4.

The line turns at (-1, 3). This point is on the line, so the function's y-value is 3 when x = -1.

The line crosses the y-axis at (0, 2). This means the function's y-value is 2 when x = 0.

The line crosses the x-axis again at (2, 0). This means the function's y-value is 0 when x = 2.

Now, let's consider the intervals between these points:

a) When x < -4 (to the left of -4): The function's y-value is 0, as the line is horizontal at y = 0.

b) When -4 ≤ x < -1: The function's y-value starts at 0 and increases to 3, as the line rises from (−4, 0) to (−1, 3).

c) When -1 ≤ x ≤ 2: The function's y-value remains constant at 3, as the line is horizontal at y = 3 between (−1, 3) and (2, 3).

d) When x > 2 (to the right of 2): The function's y-value decreases from 3 to 0, as the line descends from (2, 3) to (2, 0) and further to the right.

So, the range of the function is {0, 3}.

In mathematical notation, the range is written as:

Range = {y | y = 0 or y = 3}

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Answer:

96

Step-by-step explanation:

8y+3z

9(8)+3(8)

72+24

96

Answer:

-58

Step-by-step explanation:

If we have the expression [tex]5xy-3z[/tex] and we know the values of x, y, and z, we can substitute inside the equation to find it's value.

[tex]5\cdot-2\cdot4 - 3\cdot6\\\\-40 - 18\\\\-58[/tex]

Hope this helped!

Answer: -58

Step-by-step explanation:

Fill it in to get (5)(-2)(4) - (3)(6) which is -40 - 18 = -58

Answer: .20x+1.00

Step-by-step explanation:

A. To find the area of a circle you need to use the formula A= π r²  

The radius (R) is half of the diameter . . . that's 6.5 cm .

r² = ( 6.5)² = 42.25 cm²

Area =  π r² = 42.25 π  =  132.7 cm²

B. Area of a rectangle is just (length) x (width).

Length = 12 cm

Width = 5 cm

Area = (12 cm) x (5 cm) = 60 cm²

C. The shaded portion is the part of the circle that's NOT in the rectangle. So its area is (area of the circle) - (area of the rectangle)

Area = (132.7 cm²) - (60 cm²) = 72.7 cm²

Answer:

[tex]\huge \boxed{\mathrm{C=\pi d}}[/tex]

Step-by-step explanation:

To find the circumference of a circle, you can multiply the value of the diameter of the circle with the value of pi.

[tex]\sf Circumference = \pi \times diameter[/tex]

[tex]\mathrm{C=\pi d}[/tex]

C=2•π•r

hope it helps;)

Answer:

x^2y / 4

Step-by-step explanation:

x^4 y^4 / 4x^2 y^3

x^4 / x^2 = x^2 and y^4 / y^3 = y so:

this = x^2y / 4

Answer:

n-10+2n-5

to me it look like it equal 3n-5

Step-by-step explanation

step one:

add n+2n which equal to 3n

step 2:

-10+5

you add 5 do -10 which equal to -5

and when u put them together the answer will be

3n-5

Answer:

Rational Numbers.

Step-by-step explanation:

Rational numbers ( these can be written as a/v where a and b are integers, b not 0)

Answer:

-1.16666666667

Step-by-step explanation:

Answer:

-1 1/6

Step-by-step explanation: