Which of the following rational functions is graphed below?

Answer:

f(x)= x^3+x^2-16x-16

By the factor theorem,

f(4)=4^3+4^2-(16×4)-16 =0

Since f(4)=0, (x-4) is a factor of x^3+x^2-16x-16

Step-by-step explanation:

Answer: 6.67

Step-by-step explanation:

Using the similarity theory, we get the equation

5/30 = BM/40

BM = 5*40/30 = 20/3 = 6.67

Answer number 2

Answer:

Circumference: 62.83

Step-by-step explanation:

Formula:

2 • π • r

OR

2 • 3.14 • 10

Since the radius is 10, replace the r variable for 10 and complete the equation. Hopefully this helps!

Answer:

r = 20

Hope this helps!

Answer:

https://brainly.com/question/26694904

Step-by-step explanation:

this question has f.r.e.e points, answer is saying yes pls

Answer:

5. x = 8

11. x = 57.6

13. x = 11

15. x = 5

Step-by-step explanation:

In each part, I set up a proportion and cross multiplied to solve.

5. 4/3 = 2x + 4/x + 7

    x = 8

11. 25/30 = 48/x

    x = 57.6

13. 32/2x + 6 = 60/52.5

     x = 11

15. To find missing part: 35 - 20 = 15

     20/7x - 11 = 15/4x - 2

     x = 5

Given :-

To Find :-

Solution :-

Here the cost price for Raj is Rs 400 and Selling price is Rs420 .

Here since SP > CP , so there's a profit .

→ Profit = SP - CP

→ Profit = Rs420 - Rs400

→ Profit = Rs 20

Now we can calculate the profit% as ,

→ Profit/CP * 100

→ Rs 20/ Rs 400 * 100 %

→ 20/4%

→ 5%

Hence the profit is 5% .

I hope this helps .

Answer:

Step-by-step explanation:

Cost price of the article = Rs 400

Selling price of the article = Rs 420

As, S.P > C.P

Profit = S.P – C.P

= Rs( 420 – 400)

⠀⠀⠀= Rs 20

So,

Profit percent = (20/400 × 100)%

⠀⠀⠀⠀⠀⠀⠀⠀ = (20/4) %

⠀⠀⠀⠀⠀⠀⠀⠀ = 5 %

percentage is a ratio of a number or fraction to 100

percentage =per(every) + cent (100)

per cent = per 100

percentage calculation formula (%) = (part / whole ) ×100

percentage increase equation = 100 ×( final - initial) /initial

ex1 : 2% is 2 percent = 2/100 =2:100

ex2: 35% = 35/100

48% = 48/100

ex3 : find the following 10% of 25,000

step 1 : convert 10% into fraction = 10/100

step 2 : multiply the fraction with value = 10/100× 25,000

answer = 2,500

ex4 : what is 7% of 68m ?

step 1 : convert 7% into fraction = 7/100

step 2 : multiply the fraction with value = 7/100 × 68

answer = 4.76 m

ex5 : The original price of a shirt was $10. It was decreased to $5 . What is the percent decrease of the price of this shirt?

step 1 : find the amount decreased = $10–$5 =$5

step 2 : write as part / whole = $5 / $10 = $0.5

step 3 : multiply by 100 = 0.5 × 100 = 50%

ex6 : Mary has a monthly salary of $21,000. She spends $350 per month on food. What percent of her monthly salary does she spend on food?

step 1 : write as part /whole and multiply by 100

= ( 350 / 21000 ) ×100 = 1.7 %

ex6 : The price of a pair of shoes was decreased by 21% to $100. What was the original price of the trousers?

step 1 : write % as fraction = 21/100

original price = y

(y × 21/100 ) = amount decreased --------- 1

y - amount decreased = $100 -------------- 2

rearrange equation 2 as;

y - $100 = amount decreased -------------- 3

when you equate both equation 1 and 3 you should get the ans y = $ 126.58

ex6 : The price of an item changed from $120 to $100. Then later the price decreased again from $100 to $80. Which of the two decreases was larger in percentage term?

step 1 : part / whole = (120 - 100) / 120 = 0.17 = 17%

step 2 : part / whole = (100 - 80) / 100 = 0.20 = 20%

The part were the same in both cases but the whole was smaller in the second decrease.

ex7 : A family had dinner in a restaurant and paid $35 for food. They also had to pay 9.5% sale tax and 10% for the tip. How much did they pay for the dinner?

for food = $35

sale tax = 9.5/100 × 35 = $3.33

tip = 10 /100 × 35 = 3.5

total = $45.83

ex8 : Smith invested $5000 for two years. For the first year, the rate of interest was 7% and the second year it was 8.5%. How much interest did he earn at the end of the two year period?

Answer

Interest at the end of the first year

7/100 * 5000 = $350

Interest at the end of the second year

8.5/100 * (5000 + 350) = $454.75

Total interest at the end of the two year period is

$350 + $454.75 = $804.75

Answer:

85%

Step-by-step explanation:

Answer:

helllo friend

Step-by-step explanation:

i dont know how to do it

Answer:

Jatziry, Kwa, Miguel, Gina

Step-by-step explanation:

I changed it into decimal.

0.1, 0.11, 0.125, 0.13

Answer:

5

Step-by-step explanation:

15 has 2 factors 5 and 3

80 gets split into 16 and 5

then split into 8 and 2

then 2 and 4

then 2 and 2

the GCF therefore is 5

Answer:

I would say it is close to 4, but not 4.

Step-by-step explanation:

So I rounded the distance between the 2 plots with a line, and I got either 3.8 or 3.1

square root of 10 = 3.1

square root of 15 = 3.8

The picture is my graph I used to base it, so I would generally consider how close it is to 4 saying C. Square root of 10.

(I only chose 3.1 because I went up on the graph 3 squares with my line. It did not quite reach. I went 1/10(0.1) of a whole up further, and it resulted in the square root of 10 choice.)

Answer:

240 cm²

Step-by-step explanation:

Split the shape into a trapezoid (top half) and a rectangle (bottom half).

Area of a rectangle = width x length

⇒ area = 6.5 x 20 = 130 cm²

[tex]\textsf{Area of a trapezoid} = \frac{1}{2}(a+b)h[/tex]

(where a and b are the lengths of the base and top, and h is the height)

⇒ [tex]\textsf{area} = \frac{1}{2}(20+20)\times5.5[/tex]

⇒ area = 110 cm²

Total area = area of rectangle + area of trapezoid

⇒ area = 130 + 110 = 240 cm²

The Pie Chart is the best type of chart that could be used to represent the distribution of this data.

A pie chart is a type of circular statistical graph used for the representation of a data set. The graph's segments are proportionate to the percentage of the total in each group.  

However, the proportion of each portion of the pie chart is proportional to the number of the group as a whole.

Therefore, from the given information contains many data sets, each data can be represented in each portion to make a full Pie Chart.

Learn more about Pie Chart here:

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.23 times 5 is 1.15

the answer would be she used 1.15 feet of ribbon

Answer:

Step-by-step explanation:

Given:

Given equation:

Solve:

In total, Tanya used 1.15 feet of ribbon.

Answer:

8/21

9/10

6/19

that cuz they are already in their simplest from or

Answer:

Step-by-step explanation:

Given system:

Solve by elimination, multiply the first equation by 5 and add up equations:

Find y:

Answer:

x = 4

y = 2

Step-by-step explanation:

Rewrite  x + y = 6  to make y the subject:  

⇒ y = 6 - x

Substitute y = 6 - x   into  6x - 5y = 14  and solve for x:

⇒ 6x - 5(6 - x) = 14

⇒ 6x - 30 + 5x = 14

⇒ 11x - 30 = 14

⇒ 11x = 44

⇒ x = 4

Substitute  x = 4  into  x + y = 6  and solve for y:

⇒ 4 + y = 6

⇒ y = 2

Answer:

 3 • (2x - 7) -  (x + 4)  = 0

then do 3.1     Pull out like factors :

  5x - 25  =   5 • (x - 5)

 5 • (x - 5)  = 0

4.2      Solve  :    x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

Step-by-step explanation:

Answer:

[tex] \sf \: x = 5[/tex]

Step-by-step explanation:

Given equation,

→ 3(2x - 7) = 5 - (1 - x)

Now the value of x will be,

→ 3(2x - 7) = 5 - (1 - x)

→ 6x - 21 = 5 - 1 + x

→ 6x - x = 4 + 21

→ 5x = 25

→ x = 25/5

→ [ x = 5 ]

Hence, the value of x is 5.

Answer:

I think it's B or A. Im not sure. sorry if i'm wrong.

Answer:

[tex] x\ intercept = (-8,0)\\\\ y\ intercept = (0,-4)[/tex]

Step-by-step explanation:

A equation is given and we need to find out the x and y intercept . The given equation is ,

[tex]\longrightarrow -2x + 4y =-16[/tex]

In order to find out the y intercept , substitute x = 0 in the given equation,as;

[tex] -2x + 4y =-16\\\\\longrightarrow -2(0)+4y =-16\\\\\longrightarrow 4y = -16\\\\\longrightarrow y =\dfrac{-16}{4}\\\\\longrightarrow y = -4 [/tex]

Again to find x intercept substitute y = 0 in the given equation, as ;

[tex]\longrightarrow -2x + 4y = -16 \\\\\longrightarrow -2x +4(0)=16\\\\\longrightarrow -2x = 16\\\\\longrightarrow x =\dfrac{16}{-2}\\\\\longrightarrow x =-8[/tex]

This is the required answer !

Answer:

congruent

Step-by-step explanation:

If two geometrical figures are congruent, then their corresponding sides are congruent.

Answer:

3 minutes

Step-by-step explanation:

if it takes 3 minutes to ride around your neighborhood it would make all of these statements true, it would mean that it takes 1 minute to ride in your block.

Answer:

see below

Step-by-step explanation:

f(4) = -11

g(x) = 2,x = 0

Solution:

To factorize an expression, the minuend and the subtrahend must be divisible to a number.

In this case, 6 and 30 are divisible by 6, which is the GCF. The factorized form of the expression is:

Now, if we substitute the values into the distributive property....

Learn more about factorization: https://brainly.com/question/22097012

The number of years it took the amount invested to accrue to £316.53 is  23.7 years.

Compound interest is when both the money invested and the money already accrued earn interest.

Number of years =  in(fv / pv) r

FV = future value

PV = present value

r = interest rate

(IN 316.53 / 175) / 0.025 = 23.7 years

To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217

Step-by-step explanation:

Add the ones with like terms.

which means the ones with things in common.

4/5x^2 + 1/4x^2 i'm adding this first because we have x^2 on both sides.

(4/5 + 1/4)x^2

= (5+16/20)x^2

= (21/20)x^2

the next terms are those with x as common.

(1/4 +- 1/5)x...take the sign into consideration while dealing with the terms within the equations.

=(1/4 - 1/5)x

=(5 - 4/ 20)x

= (1/20)x

= (1 × x) / 20

= x/20.

last ones are the constant terms(numbers)

1/6 + 2/3

=12 + 3 / 18

= 15/18...we can simplify this one as well.

= 5 × 3 / 6 × 3

= 5/6.

Now write all the results as a one equation.

descending order starting from the highest degree which is 6/5x^2 --> 1/20x ---> 5/6.

21/20x^2 + x/20+ 5/6.

Answer:

2x-3

Step-by-step explanation:

For this problem, we need to use the Distributive Property.

Use the Distributive Property:

[tex]-1/4(-8x+12)[/tex]

[tex]2x-3[/tex]

2x-3 is your answer.

Answer: B, it will be multiplied

Step-by-step explanation:

I just did the USATestprep