The area of a rectangle is represented by x2 + 2x - 3. The width of the rectangle is x - 1. What is the length of the rectangle?
A. X+3
B. x-3
c. x+4
D.X-2

Answer:

just took the test

1st root= x1 =(17+√65)/16

2nd root =x2 =(17-√65)/16

A quadratic equation is any equation that can be  rearranged in standard form as where x represents an unknown and a, b , and c represent known numbers , where a should not be equal to 0.

D = b^2 - 4 * a *c

D = (-17)^2 - (4)(8)(7)

D= 65 >0

There will be two solutions exist in this condition

1st root :    (-b+√D)/2a

=(-(-17)+√65)/2*8)

1st root=  x1 = (17+√65)/16

2nd root :   (-b-√D)/2a

= (-(-17)-√65)/2*8)

2nd root = x2 = (17-√65)/16

Learn more about  quadratic equation :

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Answer:

c). y = -2x + 9

Step-by-step explanation:

y = -2x + b

1 = -2(4) + b

1 = -8 + b

9 = b

Answer:

Probability is 0.552, or about 55%

Step-by-step explanation:

first there are 20 marbles in total: odds are 15/20 = 3/4

Then, there are 19 marbles in total : odds are 14/19

So the odds of both of them being blue are: 3/4 * 14/19 = 0.552 (rounded to the thousandths place)

Please give brainliest thanks!

Answer:

D and E

Step-by-step explanation:

Let's double check:

D. 9 ÷ 3 = 3

E. 4 × 9 = 36

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Have a great summer :)

Answer:

the answers would be A, D, and E

Step-by-step explanation:

just replace the Cs with the number 9 and solve from there.

for example c/3=3 would say 9/3=3

9514 1404 393

Answer:

   (3x +4)(j -f)

Step-by-step explanation:

  3x(j -f) -4(f -j) = 3x(j -f) +4(-f +j) . . . . distribute the minus sign in -4(f-j)

  = 3x(j -f) +4(j -f)

  = (3x +4)(j -f)

Answer:

12 I think

I'm not sure

Byeee

Answer:

35.97

Step-by-step explanation:

113 divided by pie (3.14)

Use the edges of the triangles to determine which ones are closest together for the smallest of furthest apart for the largest.

1. Smallest = b

Largest = c

2. Smallest = f

Largest = g

Answer:

24

Step-by-step explanation:

6*4

Answer:

18 monthly payments are required to complete payment

Step-by-step explanation:

We start with our $1,424.

Then subtract $560 from the original number above.

Leaving us with $864.

We then divide the $864 by $48 and we end up with 18.

So our answer is 18 monthly payments are required to complete payment.

Answer:

the product X Y is constant so the relationship is not an inverse variation.

Step-by-step explanation:

Answer:

14.286% increase

Step-by-step explanation:

Since the admission to the amusement park increased by $10 we need to find what percentage of $70 equals $10.

We can find this percentage by multiplying 10 (the difference in money) by 100 (a hundred percent), and dividing that by 70 (the initial cost)

[tex]10*100/70=14.286[/tex]

Answer:

volume left in A is 80ml

Step-by-step explanation:

let original volume in both be x ml

after pouring from A to B

vol in A = x - 120

vol in B = x + 120

now it is given that

vol in B = 4 times vol in A

implies

[tex]x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200[/tex]

hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml

Answer:

equation y = 3x + b.

Step-by-step explanation:  

To come up with the equation of a line in slope intercept form, we need the slope and the y-intercept. First, substitute the given slope in for m. We get the equation y = 3x + b.

Answer:

x = 4.4

Step-by-step explanation:

cos theta = adjacent side / hypotenuse

cos 24 =  y/x

cos 24  = 4/x

x cos 24 = 4

x = 4/cos 24

x =4.378545114

Rounding to 1 decimal place

x = 4.4

Answer:

x=4.4cm

Step-by-step explanation:

We can use cosine to find x as we're given y (adjacent) and the angle. This is also a right triangle.

cos24=4/x

x=4/cos24

x=4.4

Answer:

Red can

Step-by-step explanation:

Tonato juice come in different sizes

The red can contains 6 cups

The blue can contains 2 pints

The yellow can contains 32 fluid ounces

Therefore the can that holds the highest juice is the red can with 6 cups if tomato juice

Answer:

maybe rhombus

Step-by-step explanation:

don't take my word for it

Answer:

I think Rhombus. I am not so sure.

Step-by-step explanation:

Have a nice day! :-)

Answer:

Exposed group has 2 times the odds of bladder cancer than not exposed group based on our odds ratio.

The disease is bladder cancer.

Explanation:

Calculate odds for exposed group =

1293 with bladder cancer had used artificial sweeteners in the past/

855 without bladder cancer had used sweeteners= 1.51

Calculate odds for not exposed group=

1707 with bladder cancer had never used artificial sweeteners/ 2145 without bladder cancer had never used artificial sweeteners=0.795

Odds ratio=odds for exposed group/odds for not exposed group

= 1.51/0.795

= 1.899

Therefore exposed group has two times the odds of bladder cancer than not exposed group.

Answer:

f(- 4) = - 4

Step-by-step explanation:

f(- 4) with x = - 4 gives f(- 4) = - 4

Answer:

The median is $42, or B.

Step-by-step explanation:

Our numbers are :

42, 51, 38, 49, and 40.

The first step to finding the median is ordering the numbers from least to greatest.

38, 40, 42, 49, 51.

Now we find the number perfectly in the middle - that's 42, between 49 and 40. The median is $42, or B.

Please mark brainliest!

Answer:

No.

Step-by-step explanation:

#1, the sample size is not indicative of a proper high school population, unless of all there is a small amount of students in the high school (or even only 30 students in it). On a individual basis, it can vary widely, and so data analysis such as this is not correct. The data size is skewed as well for the college, especially as college campuses typically house more students then usual. To only ask 60 college students also skew the data gotten. Another sample error may be locational error, in which the location of the schools may warrant the need for a driver license, or if it is not needed, as well as the distance of the student's house and/or where needed facilities are to accommodate a student's needs and desires.

If we were to set all these problems aside and focus more on the question, 15 high school students said they could drive, and 15 said they could not, which makes the sample size of 30 high school students in all. 15 say they can drive, therefore:

15/30 = 1/2, or there is a 50% chance of obtaining a student that can drive.

On the other hand, out of 60 college students surveyed, 30 said they can drive, therefore:

30/60 = 1/2, or there is a 50% chance of obtaining a student that can drive.

∴ Micah's prediction is incorrect in obtaining a college student that can drive more easily then obtaining one that can drive in a high school.

However, remember that too small of a data size can lead to a heavy skew, and it will not represent reality as well.

~

Answer:

Sample Response: No, Micah is not correct. Since there are equal numbers in the group that drive and the group that doesn’t drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.

Step-by-step explanation:

Got this from Edg 2021

Answer:

One eighth is one part of eight equal sections. Two eighths is one quarter and four eighths is a half. It's easy to split an object, like a cake, into eighths if you make them into quarters and then divide each quarter in half

The total outcomes for this survey are 864.

An elementary event is one with only one possible consequence. The sample space of an experiment is the event that contains all feasible results. A single consequence may appear in a variety of circumstances.

Given, You are responding to a poll about Taco Bell. You can select Below Average, Average, or Above Average for each of the first three questions. You may choose to agree or disagree with the past five questions.

Here, we utilize the combinations formula to determine how many outcomes there are in this survey.

Three questions have three options, while five questions have two.

Hence,

total outcomes = 3³ * 2⁵ = 27 * 32 = 864

Therefore, There are 864 total responses to this survey.

Learn more about the outcomes of the set here:

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Answer:

5.0x10=50

1.50x10=15

Step-by-step explanation:

calculator

Answer:

45.9˚

Step-by-step explanation:

use trig formulas

23 and 16 correspond to the hyp and adj sides to angle x.

adj/hyp is cos so use the cos formula.

cos x = 16/23

arccos --> inverse cos

x = arccos(16/23)

put it in a calculatior and round to nearest 10th.

45.92079....

= 45.9˚

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  n cm = 3 cm

Step-by-step explanation:

The total surface area is the sum of the base areas and the lateral area. The base areas are the sum of the areas of the rectangle and triangle that define the shape of the base.

The rectangle has dimensions 5 cm by n cm. The triangle is 5-2 = 3 cm high and 4 cm at the base. Then the front face area is ...

  A = lw + 1/2bh

  A = (5 cm)(n cm) +1/2(4 cm)(3 cm) = (6 +5n) cm²

The lateral area is the product of the perimeter of the base and the depth of the prism.

  A = Ph

  A = (5 cm + n cm + 2 cm + 5 cm + 4 cm + n cm)(4 cm) = (64 +8n) cm²

The total surface area is the sum of the areas of the two bases and the lateral area:

  130 cm² = 2(6 +5n) cm² +(64 +8n) cm²

  130 = 76 +18n . . . . . . divide by cm², collect terms

  54 = 18n . . . . . . . . . subtract 76

  3 = n . . . . . . . . . . divide by 3

The value of n in centimeters is 3 cm.

Answer:

Lauren tutors 42 students in total

Step-by-step explanation:

She tutors for 6 hours and she teaches 7 students an hour , so we just have to multiply 7 by 6 which is 42

Hope it helps:)