A rectangle has a width of x centimetres and a perimeter of 8x centimetres. A square has
sides of length one fourth the length of the rectangle.
a) Determine the length of the rectangle.
b) Determine the perimeter of the square.
c) Determine how many centimetres greater the rectangle's perimeter is than the square's
perimeter if x = 4.
d) Determine how many square centimetres greater the rectangle's area is than the square's
area if x = 4.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:\tt(6x {}^{4} −2x {}^{3} +7x {}^{2} −x) + ( 7x {}^{4} + 2x {}^{3} −5x + 7)[/tex]

[tex]\qquad \tt \dashrightarrow \:\tt6x {}^{4} −2x {}^{3} +7x {}^{2} −x + 7x {}^{4} + 2x {}^{3} −5x + 7[/tex]

Now, move all like terms aside :

[tex]\qquad \tt \dashrightarrow \:6 {x}^{4} + 7 {}x^{4} - 2 {x}^{3} + 2 {x}^{3} + 7 {x}^{2} - x - 5x + 7[/tex]

Add the like terms ~

[tex]\qquad \tt \dashrightarrow \:13 {}x^{4} + 7 {x}^{2} + 6x + 7[/tex]

Answer:

13(x)⁴ + 7(x)²-6(x) + 7

Explanation:

[tex]\hookrightarrow \sf (6x^4 -2x^3+7x^2-x)+(7x^4+2x^3-5x+7)[/tex]

remove the parenthesis

[tex]\sf \hookrightarrow 6x^4-2x^3+7x^2-x+7x^4+2x^3-5x+7[/tex]

group the variables

[tex]\hookrightarrow \sf 6x^4+7x^4-2x^3+2x^3+7x^2-x-5x+7[/tex]

add similar terms

[tex]\sf \hookrightarrow 13x^4+7x^2-x-5x+7[/tex]

simplify

[tex]\hookrightarrow \sf 13x^4+7x^2-6x+7[/tex]

Answer:

D

Step-by-step explanation:

That expression equals :

10z+6

So, now we need to find one of the expressions that ALSO gives us 10z+6

D

This is because:

2*3z=6z

2*2z=4z

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

6z+4z=10z, so we got that one so far.

NEXT

2*3=6.

We got the 6 too!

it is d

Answer:

3 1/6

Step-by-step explanation:

2+1/3+5/6

(1/3=2/6)

so 3/6+5/6 =  7/6

Answer:

D

Step-by-step explanation:

8x < 24

divide both sides by the coefficient of x

8x/8 < 24/8

x < 3

Answer:

600

Step-by-step explanation:

10x9 =90

10x3=30

8x90=720

4x30=120

720-120= 600

Answer:

160 - k dollars

Step-by-step explanation:

Hello!

If Leila has 160 dollars and spends the amount k, then you are therefore subtracting k from 160. This is because you are using the value of k from 160.

So the expression would be 160 - k dollars

Answer:

B.About half of the pizza is left.

Step-by-step explanation:

When we solve:

2/3 of the pizza was left over from last night. Then, Marcy ate another 2/9 of it.

We get 4/9.

Answer:

pack you

pa brainliwa po

The graph of f(x) that satisfies the condition of f(x)'s left sided limit at 2 being -4 and right sided limit at x = 2 being 0 is given by the first graph.

In rough terminologies, the limit from one side is when we only use one side of the function with respect to the considered point of interest (in input) to predict the value of the function at that point.

For this case, we need to find the graph of the function f(x) from the considered 4  graphs for which:

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

For the first graph, for the point x=2, on left from the point x = 2 lies a ray. If thats the function, we can hope that the function will continue having the same line to the right too, so the prediction for value of function on x = 2 is the value that line gives for y.

That is -4.

Thus, prediction of function from left of x = 2 is -4, or

[tex]\lim_{x\rightarrow 2^{-}}f(x) = -4[/tex]

Similar to that, from the right of the point 2, there is some yellow curve. That predicts that the function's value at point x = 2 should be 0 (the yellow curve seems like touching the x-axis where y = 0 at the point x=2.

Thus, we have:

[tex]\lim_{x\rightarrow 2^{+}}f(x) = 0\\[/tex]

So graph first is correctly pertaining such function f(x).

Second graph when refered, we see that if we predict value at x =2 from left, the yellow curve in the left will make us predict that the function would be 0, so: [tex]\lim_{x\rightarrow 2^{-}}f(x) = 0[/tex]

Thus, its wrong graph.

Third graph when refered, we see that if we predict value at x =2 from left, the green line in the left will make us predict that the function would be -2 at x = 2 (see the green point in the third graph), so: [tex]\lim_{x\rightarrow 2^{-}}f(x) = -2[/tex]

Thus, its wrong graph.

Similarly, for the fourth graph, we see that if we predict value at x =2 from left, the yellow curve in the left will make us predict that the function would be 0, so: [tex]\lim_{x\rightarrow 2^{-}}f(x) = 0[/tex]

Thus, its wrong graph.

Thus, the graph of f(x) that satisfies the condition of f(x)'s left sided limit at 2 being -4 and right sided limit at x = 2 being 0 is given by the first graph.

Learn more about one-sided limits here:

https://brainly.com/question/23625942

#SPJ1

Answer:answer a

Step-by-step explanation: got right on edge 2023

Answer:

210

Step-by-step explanation:

First, we keep $150 on the back of our minds(or our paper).

Second, we would assume that Rose's would've designed the flyer at $150, making us determine how much flyers they bought for the remaining $42.

($192 - $150 = $42)

Now that we know all of this, we can begin.

12 x 5 is 60, so 60 cents makes 1 dollar.

So for every dollar, they can make 5 flyers.

If we do 5 x 42, we'll get the answer of 210, which is the amount of flyers she bought!

Answer:

5 year old cat

Step-by-step explanation:

because a kg is about a pineapple

Answer:

7/10

Step-by-step explanation:

Fractional form of 0.7 is 7/10.

Answer:

Step-by-step explanation:

Remark

If you drive 400 miles a month, and you get 19 miles per gallon, then you will need

gallons = miles / miles per gallon

Givens

m = 400

mpg = 19

Cost per gallon = 1.21

Solution

gallons = 400 / 19 = 21.05

You need to buy 21.05 gallons

1 gallon costs 1.21

21.05 gallons cost x            Cross multiply

x = 1.21 * 21.05

Answer: x = 25.47              Cost for 1 month's fuel.

Answer:

E    (simalr to the other one you posted)

Step-by-step explanation:

Denominator cannot equal 0   so domain (x values) cannot include 2

  range: all numbers, buthere is no way to make a 0

Answer:

There are a few different scenarios

Step-by-step explanation:

FROM- THE GENIUS ANSWERER

The mode of the ratio of the sequence should be greater than one for the divergence. Then the correct option is C.

A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.

We know that the condition of the converges of the series will be given as

[tex]\rm \Sigma ^{\infty}_{n=1} \ 0.2(-3)^{n-1}\ \ diverges \ because \ |r| > 1.[/tex]

The mode of the ratio of the sequence should be greater than one for the divergence.

More about the series link is given below.

https://brainly.com/question/10813422

#SPJ1

Answer: It’s C

Step-by-step explanation:

Answer:

1. (a) 1/12

(b)35/36

(c) 31/36

2. Blue - 1/3

Red- 4/15

Answer:

Allison is 7 years now, Jenny is 49 yeas now. Check.  13y = 13*7 = 91 will happen in 91-49 = 42 years. Jenny will be 7 + 42 = 49 years old at that time.

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

Answer:

1/16th

Step-by-step explanation:

You can write this problem as a function of time.

Let x be the amount of acetaminophen that you start off with.

Let n be the amount of 2.5 hour intervals that have passed

x*0.5^n

The reason this function works is because with each 2.5 hour interval, you multiply the total product by another 1/2.

Plugging in 4(because 4 2.5 hour intervals in 10 hours), you get:

x*0.5^4,

which is x/16.

This shows that 1/16th of the acetaminophen is left in the body after 10 hours.

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{44}{25}[/tex]

Step-by-step explanation:

1) Simplify 6 × 6 to 36.

[tex]\frac{8+36}{11+7*2}[/tex]

2) Simplify 8 + 36 to 44.

[tex]\frac{44}{11+7*2}[/tex]

3) Simplify 7 × 2 to 14.

[tex]\frac{44}{11+14}[/tex]

4)  Simplify 11 + 14  to 25.

[tex]\frac{44}{25}[/tex]

Answer:

○ [tex]\displaystyle SA = 2lw + 2lh + 2wh[/tex]

Explanation:

A rectangle has four right angles, including two pairs of congruent edges, only containing two dimensions – height and length. Therefore, going three-dimensional, a rectangular prism has three dimensions – width, height, length. With this information, you should know what the answer is.

I am joyous to assist you at any time.

Answer:

30 percent of the scores are 90 and greater

Answer:

that isn't a number

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

15 / 5/3 = 15 x 3/5=9

Because a negative numebr divided by a negative number is always positive.

Answer:

9

Step-by-step explanation:

Answer:

f(x) = 45x + 5

Step-by-step explanation:

The parking fee for a minibus at an event is $5 entering the parking lot. There is an extra charge of $45 per passenger.

The formula that simulates the parking fee for this sentence is

f(x) = 45x + 5

This is because 45x represents the charge per passenger and we are using addition because the $5 minibus parking fee; to enter the parking lot - increases the total cost of the parking fee.

Answer:

382.85

Sig Figs

   5

   382.85

Decimals

   2

   382.85

Scientific Notation

   3.8285 × 10^2

E-Notation

   3.8285e+2

Words

   three hundred eighty-two point eight five

Step-by-step explanation:

Answer: 6 cm

Step-by-step explanation:

The formula for the area of a parallelogram is

hb=a

Where

b is the base

h is the height (5 for this)

and a is the area (30 for this)

Let's sub these values into our equation

[tex]5b=30[/tex]

Divide both sides by 5 to isolate b

[tex]5b=30\\\frac{5b}{5} =\frac{30}{5} \\b=6[/tex]

The base is 6cm long.

Answer:

Base = 6 cm

Step-by-step explanation:

Given:

[tex]\text{Area of parallelogram} \text{ = 30 cm}^{2}[/tex]

[tex]\text{Height of parallelogram = 5 cm}[/tex]

Formula:

[tex]\text{Area of parallelogram} = \text{Base} \times \text{Height}[/tex]

Substitute the height and the area of the parallelogram:

[tex]:\implies 30 \ \text{cm}^{2} = \text{Base} \times 5[/tex]

Divide both sides by 5:

[tex]:\implies \dfrac{30}{5} = \dfrac{\text{Base} \times 5}{5}[/tex]

Simplify both sides:

[tex]:\implies 6 \ \text{cm} = \text{Base}[/tex]

Answer:

[tex]y=\frac{\sqrt{113}-5 }{-6}[/tex]

Step-by-step explanation:

[tex](5-6y)^2=113[/tex]

[tex]\sqrt{(5-6y)^2} =\sqrt{113}[/tex]

[tex]5-6y=\sqrt{113}[/tex]

[tex]-6y=\sqrt{113} -5[/tex]

[tex]y=\frac{\sqrt{113}-5 }{-6}[/tex]

I hope this helps!

The distance of segment AB is the number of units on the segment

The equation that can be used to determine the coordinates of point B is [tex]5 = \sqrt{(x -6)^2 + (y - 5)^2}[/tex]

The given parameters are:

The distance AB is calculated using:

[tex]AB = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2}[/tex]

This gives

[tex]5 = \sqrt{(x -6)^2 + (y - 5)^2}[/tex]

Hence, the equation that can be used to determine the coordinates of point B is [tex]5 = \sqrt{(x -6)^2 + (y - 5)^2}[/tex]

Read more about distance equations at:

https://brainly.com/question/7243416

Answer:

√(x-6)² + (y-5)²

Step-by-step explanation:

The Distance Formula is √(x2 - x1)² + (y2 - y1)²

If you plug in the known values, you get √(x - 6)² + (y - 5)²

This is our answer.