The front lawn of NPHS has a roped off area of 2x^2 - 11x + 15. What are the
possible dimensions of the roped off area?

Answers

Answer 1

Answer:

[tex]x-3[/tex] by [tex]2x-5[/tex] units

Step-by-step explanation:

Use the slide-and-divide method to factor the polynomial:

[tex]2x^2-11x+15[/tex]

[tex]x^2-11x+30[/tex]

[tex](x-6)(x-5)[/tex]

[tex](x-3)(2x-5)[/tex]

Therefore, the dimensions are [tex]x-3[/tex] by [tex]2x-5[/tex] units


Related Questions

Rewrite the quadratic function f(2) = 5x2 + 10x – 8 in standard form, f(x) = a (x – h)? + k, and give the vertex.

Answers

Answer: [tex]f(x) = 5(x+1)^{2} - 13[/tex]

Vertex = (-1, -13)

Step-by-step explanation:

[tex]f(x) = 5x^{2} + 10x - 8\\f(x) = 5(x^{2}+2x)-8\\f(x) = 5(x^{2}+2x+1-1)-8\\f(x) = 5((x+1)^{2}-1)-8\\f(x) = 5(x+1)^{2}-5-8\\f(x) = 5(x+1)^{2}-13[/tex]

Vertex = (h, k) = (-1, -13)

Use the function below to find f(-2).
f(x) = 5x
O A. -25
O B. 1/10
O c. 1/25
O D. -10

Answers

Answer: is c. 1/25

the question is a year old but thought i'd help out and answer it since i just took the test on a.pex and the only other answer to the question is wrong

The value of the function f(2) is -10.

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find f(-2), we need to substitute -2 for x in the function f(x) = 5x:

So,

f(-2) = 5(-2) = -10

Therefore,

The value of the function f(2) is -10.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

WILL GIVE BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

The answer is -2 so it’s the second one :)

Select the fraction equivalent to 0.1¯
its not 1/10

1/1
B 1/9
C 1/11

please explain why

Answers

Answer:

its 1/10

Step-by-step explanation:

You are wrong because 0.1 x 10 is 1 just like 1/10 x 10 is 1.

Express 972 in the exponential from using prime factors

Answers

[tex]972 = 4 \times 243 = 2^2 \times 3^5[/tex]

The radius of a circle is 19 miles. What is the circle's circumference?

Answers

Answer:

119.32 miles

Step-by-step explanation:

radius=19 miles

circumference =2×3.14×19 miles

The circle's circumference 119.32 miles

What is circle's circumference ?

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it.  If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.

GIven that,  radius of a circle is 19 miles

we know , circumference of circle = [tex]2\pi r[/tex]

                                                         = [tex]2\pi \cdot19[/tex]

                                                         = 38 (3.14)

                                                         = 119.32 miles

Hence, circle's circumference 119.32 miles

To learn more about the circle's circumference here:

https://brainly.com/question/17009295

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Find (fog)(x) and the domain

Answers

Answer:

(fog)(x) = 2sqrt(x) + 3

Domain: {x | x ∈ R, x>=0}

Step-by-step explanation:

(fog)(x) = f(g(x))

let f(a) = f(g(x))

f(a) = 2a+3 = 2(g(x)) + 3 = 2sqrt(x) + 3

To find domain, pick most restricting domain of the functions that make up the compound function.

A rock is 7 feet below the surface of a river. If its position can be recorded as −7 feet, what would the position of 0 represent? (5 points)

Question 3 options:

1)

On the surface of the river


2)

At the bottom of the river


3)

7 feet above the surface of the river


4)

7 feet below the surface of the river

Answers

Answer:

A on the surface of the river

Step-by-step explanation:

100 persent correct

In trapezoid DEFG, EG = 24.3 and DH = 9.4. Identify HF.

Answers

Answer:

HF = 14.9

Step-by-step explanation:

(d) Given that the fifth and the seventh terms of the G.P form the first two consecutive terms of an arithmetic sequence, calculate the sum of the first 20 terms of the sequence ​

Answers

Step-by-step explanation:

the answer is shown in the photo

At the Shelby Ski Resort, it snowed
5 4/5 feet yesterday and 4 2/5 feet
today. How much more did it snow
yesterday than today?

Answers

Answer:

it would have snowed 1 2/5 feet more the previous day than the current day.

I will mark as brainliest if answer is correct.
Which ordered pair is a solution to the system of inequalities?
y≥2x-1
y<4x

A. (2,6)

B. (3,2)

C. (3,4)

D. (2,8)​

Answers

A. (2,6) is a solution to the system of inequalities because it's inside the double shaded area.

Find all numbers that satisfy the given condition. 1. Three less than twice the sum of a number and 6 is at most 13. 2. Five less than 3 times the sum of a number and 4 is at most 10. 3. Five times the sum of a number and 3 is at least 5. 4. Three times the difference between a number and 2 is at least 12. 5. The sum of 3 times a number and 8 is between 2 and 20. 6. Eight less than twice a number is between -20 and -8. 7. Four subtracted from three times some number is between -4 and 14. 8. Nine subtracted from 5 times some number is between 1 and 11.​

Answers

Number be x

#1

[tex]\\ \sf\hookrightarrow 2(x+6)-3\leqslant=13[/tex]

#2

[tex]\\ \sf\hookrightarrow 3(x+4)-5\leqslant 10[/tex]

#3

[tex]\\ \sf\hookrightarrow 5(x+3)\geqslant 5[/tex]

#4

[tex]\\ \sf\hookrightarrow 3(x-2)\leqslant 12[/tex]

#5

[tex]\\ \sf\hookrightarrow 2\leqslant 3x+8\leqslant 20[/tex]

#6

[tex]\\ \sf\hookrightarrow -20\leqslant 2x-8\leqslant -8[/tex]

#7

[tex]\\ \sf\hookrightarrow -4\leqslant 3x-4\leqslant 14[/tex]

2 squared all divided by 4
please

Answers

Answer:

think answer is 0.5 each

PLEASE HELP WILL MARK BRAINIEST!!!!!!!!

Answers

Answer:

A.

Step-by-step explanation:

What is the recursive rule for this geometric sequence?

2, 1/2, 1/8, 1/32

Enter your answers in the boxes.

an= __ *an-1

a1=__

Answers

Answer:

an = 1/4 * an-1

a1 = 2

Step-by-step explanation:

2, 1/2, 1/8, 1/32

To find the common ratio, take the second term and divide by the first term

1/2 ÷ 2

1/2 * 1/2

1/4

The common ratio is 1/4

1/2 * 1/4 = 1/8  and 1/8 *1/4 = 1/32

The first term is a1 so a1 = 2

an = the common ratio * an-1

an = 1/4 * an-1

Answer:

Below.

Step-by-step explanation:

The common ratio = 1/2 / 2 =  1/2 * 1/2 = 1/4.

Also 1/8 / 1/2 =2/8 = 1/4 and 1/32 / 1/8 = 1/32 * 8 = 1/4

an = 1/4 * an-1 is the answer.

Is this relation a function?

(-1,2) (1,17) (3,-4) (1,20)​

Answers

No. The x value 1 has two y value 17 and 20. To be a function, each x value must have only one unique y value

It is estimated that world reserves of oil currently stand at 2625
billion units. Oil is currently extracted at an annual rate of 45.5
billion units and this is set to increase by 2.6% a year. After how
many years will oil reserves run out

Answers

Answer:

  35.4 years

Step-by-step explanation:

The annual consumption (in billions of units) is described by the exponential function ...

  f(t) = 45.5·1.026^t

The accumulated consumption is described by the integral ...

  [tex]\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)[/tex]

We want to find t such that the value of this integral is 2625, the estimated oil reserves.

  2625 = 45.5/ln(1.026)·(1.026^t -1)

  2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t

Taking natural logs, we have ...

  ln(2.480832) = t·ln(1.026)

  t ≈ ln(2.480832)/ln(1.026) ≈ 35.398

After about 35.4 years, the oil reserves will run out.

if your leg get cut off, where would you feel the pain if you got no leg. hehehe​

Answers

Answer:

lol in your head , literally

Step-by-step explanation:

After one of your limbs is amputated, you may feel as if the limb is still there. This is called phantom sensation. You may feel: Pain in your limb even though it is physically not there.

Answer:

The nerve in your leg.

Explanation:

It's not your leg that will hurt but the nerve in your leg that'll hurt. So wherever the leg is cut, the nerves must be cut as well, but another thing is when  one of your limbs is amputated, you may feel like the limb is still there. That's called phantom sensation. You might feel pain in your "limb" even though it's not physically there.

The triangle and rectangle have the same perimeter.find the value of x.

Answers

Answer:

[tex]x + 5 \: + \: x \: + 6 \: + x + 7 = 2x - 1 + x + 7 + x + 7 + 2x - 1[/tex]

[tex]3x + 18 = 6x + 12[/tex]

[tex]18 = 3x + 12[/tex]

[tex]6 = 3x[/tex]

[tex]x = 6 \div 3 = 2[/tex]

[tex]x = 2[/tex]

I hope this helps you !!

8. A company makes electronic components for TV's. 95% pass final inspection (and 5% fail and need to be fixed). 120 components are inspected in one day. (10 points) b.What is the variance of the number that pass inspection in one day

Answers

Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.

For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability, and has variance given by:

[tex]V(X) = np(1 - p)[/tex]

In this problem:

95% pass final inspection, hence [tex]p = 0.95[/tex]120 components are inspected in one day, hence [tex]n = 120[/tex].

The variance is given by:

[tex]V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7[/tex]

The variance of the number that pass inspection in one day is 5.7.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

How does the value of 2 dimes compare to the value of 2 dollars

Answers

Answer:

The 2 dollars has $1.80 more than the two dimes.

Step-by-step explanation:

2.00-0.20=1.80

Evaluate the expression for m = 45.
m|
54
Submit

Answers

[tex]|m| -54\\\\\text{When}~ m=45,\\\\|45| -54 = 45 -54 = -9[/tex]

[tex]\huge\textbf{Hey there!}\\\\\\\\\\\\\\\huge\boxed{\mathbf{|m| - 54 = }}\\\huge\boxed{\rightarrow \mathbf{|45| - 54 = }}\\\huge\boxed{\mathbf{\rightarrow 45 - 54}}\\\\\huge\text{Start at 45 and go back 54 to the left.}\\\huge\text{You should be left on \boxed{\bf -9}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{-9}}}\checkmark\\\\\\\\\\\\\\\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Choose the equation that is modeled by the graph below:

A - y=4x
B - y=−2.33333x+4
C - y=4x−2.33333
D - y=−42.33333x+4

Answers

Answer:

B - y=−2.33333x+4 I think

A rectangular garden is 24 feet wide. Its length is 4 feet more than twice the width. What is the area of the garden?

Answers

Answer:

1248

Step-by-step explanation:

w = 24feet

L=2w+4feet that means L= 2*24+4 =52

aera is 24*52=1248

25. Solve for x:
4x-3/2=5/3

Answers

Answer:

X = 19/24

Step-by-step explanation:

Move the constant: 4x = 5/3 + 3/2

Add The Fractions: 5/3 + 3/2 = 19/6

Divide Both sides by 4: 4x/4 = 0. 19/6 ÷ 4 = 19/24

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )

Answers

A' = (0,0)
B' = (1,1)
C' = (3,0)
D' = (1,-1)

A jar contains black marbles and green marbles. Sixty percent of the marbles in the jar are green. A number generator simulates randomly selecting 10 marbles from the jar. The number generator is used 12 times and the number of green marbles in each trial is shown in the dot plot.

Which description is correct about the number generator being fair or not?




The number generator is not fair. The dot plot shows 80% of the marbles drawn are green.

The number generator is fair. The dot plot shows a distribution that is skewed right.

The number generator is not fair. In most of the experiments, considerably less than 60% of the selected marbles are green.

The number generator is fair. It shows that 60% of the marbles selected are green most of the time.

Answers

Answer:

The number generator is not fair. In most of the experiments, considerably less than 60% of the selected marbles are green.

Step-by-step explanation:

Run a significant number of times, a fair distribution should be a bell curve  centered on the 6 for 60%

I need help with this ASAP

Answers

Answer:

32+24=8(4+3)

20+8=4(5+2)

100+75=25(3+4)

49+28=7(7+4)

32+24=12(3+2) I don't know if this is right because 12 times 3 is 36 but that was the last option

Step-by-step explanation:

it's distributive property you multiply the numbers on the inside by the numbers on the outside.

Solve the equation square root of x-2+5 = 7 for the variable. Show each step of your solution process

Answers

Answer:

x=4

Step-by-step explanation:

x+3=7

subtract 3 from both sides

simplify

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