Quadratic applications??

Quadratic Applications??

Answers

Answer 1

Answer:

Step-by-step explanation:

2 l + 2w = 34 ⇔ l + w = 17 ⇒ l = 17 - w ..... (1)

l w = 66 ..... (2)

(1) ----> (2)

(17 - w) w = 66

w² - 17w + 66 = 0 ⇔ (w - 6)(w - 11) = 0

w = 6 cm

l = 11 cm


Related Questions

Which expressions is equivalent to 21-(-5)

Answers

Answer:

21 + 5

Step-by-step explanation:

A negate minus a negative equals a positive

Answer:

(-5)-21

Step-by-step explanation:

use the cummutitive property to make a new equation out of the original one to get (-5)-21

What is 4x2 - x + 17 when x = -7?​

Answers

Answer:

32

Step-by-step explanation:

4 times 2 is 8, - -7 is 15 plus 17 is 32

find the slope of the line that passes through the point (-5,3) and (5,-3).​

Answers

Answer:

-6/10  or  -0.6

Step-by-step explanation:

m=y2-y1/x2-x1

-3-3=(-6)

5-(-5)=10

-6/10

hope this helps :3

if it did pls mark brainliest

A bike travels 24 miles in 3 hours. How many miles will the bike travel in 12 hours?​

Answers

Answer:

72

Step-by-step explanation:

24 / 3 = 8

so

8*7 = 72

Answer:

72

Step-by-step explanation

24 / 3 = 8

so

8*7 = 72

Two cyclists start from different locations and simultaneously begin heading toward each other. One of the cyclists travels 16 mph, while the other cyclists travels 22 mph. If the two cyclists are 342 miles apart, how many hours will it take for them to meet?

Answers

Answer:

The cyclists will meet after 9 hours.

Step-by-step explanation:

Let t be the time the cyclists need to meet.

16t + 22t = 342

38t = 342

t = 9

show that 4/9 - 1/6 = 5/18

Answers

Answer:

Step-by-step explanation:

4/9-1/6=5/18

Step-by-step explanation:

[tex] \frac{4}{9} - \frac{1}{6} [/tex]

[tex] (\frac{4}{9} \times \frac{2}{2} ) - ( \frac{1}{6} \times \frac{3}{3} )[/tex]

[tex] \frac{8}{18} - \frac{3}{18} [/tex]

5/18

What is the first step needed to solve 4 over 7 multiplied by x minus 5 equals negative 13 ? (1 point) Subtract 13 from both sides Divide both sides by 7 Add 5 to both sides Multiply both sides by 4\

Answers

It is add five two both sides.

The sum of two numbers is 138. One number is 20 less than the other. Find the numbers.

Answers

Answer:

Step-by-step explanation:This is two variables and two equations. x and y will be the two different numbers.

1.x + y =138

2.x= y-20

plug #2 into #1.

(y-20) + y = 138

2y - 20 = 138

2y = 158

y = 79 and plug into #2 and find x.

x = 79-20 = 59 = x

Step-by-step explanation:

x + y = 138

x = y - 20

(y - 20) + y = 138

2y - 20 = 138

2y = 158

y = 79

Answer x = 79 - 20 = 59 = x

Find the value of x and y.
12
9
y
X=
y =

Answers

Answer:

the value of x is 12, and the value of y is 9

Answer:

y=9

x=12

Step-by-step explanation:

this is because the top and bottom of the square are equal as well as from the sides of left to right.

4d + 3 - d + c Simplified Answer-Type Answer Here,​

Answers

4d + 3 - d + c

Sum together everything that has the same letters:

4d - d = 3d

Put this answer into the question:

3d + 3 + c

That’s your answer as there is no further working we can do! :)

(7,7) and (-3,7) are on the line

Answers

Answer:

Did you forget to add an attachment?

Answer:

Step-by-step explanation:

16. If there are 75 calories in 220 grams of an artificial sweetener, how many calories would be
in 484 grams of that same artificial sweetener?
d. 165 calories
a. 150 calories
b. 155 calories
c. 160 calories

Answers

Answer:

d. 165 calories

Step-by-step explanation:

First of all, we would find the amount of calories in 1 gram of the artificial sweetener

1 gram = 220/75

1 gram = 2.93 calories

Therefore, 484 grams has;

484 * 2.93 = 165.2

Approximately, this is equal to 165 calories.

Method 2

220 grams of the artificial sweetener has 75 calories.

484 grams of the artificial sweetener has x calories.

Translating the word problem into an algebraic equation, we have;

220 = 75

484 = x

Cross-multiplying, we have;

220x = 75*484

220x = 36300

x = 36300/220

x = 165 calories.

Two math questions


Among all pairs of numbers whose sum is 14​, find a pair whose product is as large as possible. What is the maximum​ product?
The pair of numbers whose sum is 14 and whose product is as large as possible is nothing.
​(Use a comma to separate​ answers.)
The maximum product is nothing.

and

- refer to picture

Answers

Question is not clear

Who answers it first is the winner plz

Aranza wrote the equation below. What is the slope? __________ *
y=4x+3

Answers

The slope is 4x (ignore this, i need 20 characters)

Which algebraic expression is equivalent to the expression below?

(13x - 7) + (12 - 3x)
A.
10x + 5
B.
25x - 10
C.
16x + 19
D.
10x + 19

Answers

Answer:

10x + 5

A is the correct answer

Step-by-step explanation:

Kaley and Tom both work at Publix. for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' wages for Kaley and Tom if h represents the number of hours Tom worked? What is another way to write the expression?

Answers

X=5+h because X equals Kaley and if you add 5 hours to h (Tom) then you get Kaley/X

The slope is the same as the unit rate and constant of a proportionality in a _______.
A. Prortional relationship
B. Slope
C. Rise
D. x2- x1
E. Run
F.y2 - y1

Answers

Answer:

I think the answer is B: Slope

Step-by-step explanation:

On a graph, proportional relationships are straight lines that extend through the origin. The relative steepness of the line is called slope; the slope of a graph is the same as the constant of proportionality of the equation.

Hope this helped, Have a Wonderful Day!!

The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5

You move down 6 units. You end at (-5, -5). Where did you start?

Answers

Answer:

(-5, 1)

Step-by-step explanation:

(x, y)

x moves left/right

y moves up/down

x = -5

y = -5 + 6 = 1

(-5, 1)

A music store has 1,440 CDs. Each CD rack holds 90 CDs. How many racks does the store need to use to hold all the CDs?

Answers

Answer:

16 cd racks

Step-by-step explanation:

1,440%90

PLSSSS Does anyone know what questions the teachers ask in the module 2 DBA for flvs, grade 7 math?!

Answers

Answer:

This question gives out some personal info. Please be more careful on the internet.

Step-by-step explanation:

its say your grade and what state you live in.

How would you express the area of the rectangle using the Distributive Property?

Answers

Answer:

The area of the rectangle can be found using two different expressions: a(b + c) or ab + ac. The equality of these expressions, a(b + c) = ab + ac, is the distributive property.

Step-by-step explanation:

Hope this helped, Have a Wonderful Day!!!

pls answer this asap will give brainliest

Answers

Answer:

C: The American antelope

Step-by-step explanation:

The volume of a hemisphere with radius x is V(x) = 2/3 πx3. The volume of a cube with a height of x is shown in the graph. When x = 2, which volume is greater?

The volume of the _________ is greater when x = 2.

(hemisphere or cubic)

Answers

Answer:hemisphere

Step-by-step explanation:

The volume of the hemisphere is greater when x = 2.

The formula for calculating the volume of a hemisphere is expressed as:

[tex]V=\frac{2}{3} \pi x^3[/tex]

Given that x = 2. Substitute x = 2 into the formula to get the volume of the hemisphere:

[tex]V=\frac{2}{3} \pi (2)^3\\V=\frac{16}{3}\pi\\V = 16.75 units ^ 3[/tex]

Next is to get the volume of a cube expressed as:

[tex]V = L^3\\Since \ L = x\\V = x^3\\V = 2^3\\V = 8 units^3[/tex]

Hence the volume of the hemisphere is greater when x = 2.

Learn more here: https://brainly.com/question/14022833

If the ratio of the length of a rectangle to its width is 9/4 and its length is 18 cm, what is the width of the rectangle?

PLEASE ANSWER

Answers

Answer:

The width is 8

Step-by-step explanation:

if the ratio of length to width is 9 to 4. and we know the length is 18, 18 is 2 times as much as 9, so 4*2=8.                   9*2=18,4*2=8

Answer:

The width of the rectangle is 8.

Step-by-step explanation:

I found this answer after taking a quiz and getting it wrong. After that I wanted to find this question on Brainly and answer it so others wouldn't get it wrong.

HOPE IT HELPS :)

The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all employees at the company and wants to conduct a systematic sample of size.

Required:
a. What is k​?
b. Determine the individuals who will be administered the survey.

Answers

Answer:

Explained below.

Step-by-step explanation:

The human resource department at a certain company wants to conduct a survey regarding worker morale. The department has an alphabetical list of all 4,502 employees at the company and wants to conduct a systematic sample of size 50.

Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.

(a)

A sample of size 50.

Then the value of k will be: [tex]k=\frac{4502}{50}=90.04\approx 50[/tex]

Thus, the value of k is 90.

(b)

Label the employees from 1 to 4502.

And select every 90th employee.

So, the individuals who will be administered the survey are:

90th, 180th, 270th,...

There are 60 students in a classroom, 50% of the students are
boys. 30% of the boys and 60% of the girls want to buy the
new textbook. How many students want to buy the new
textbooks?
___ students

Answers

Answer:

28

Step-by-step explanation:

If 50% of students are boys that means there are 30 boys and 30 girls. Then if   30% of boys are 10 and 60% of girls are 18. You add 18+10 and that gives you 28.

Share 40 pound between two people at the ratio 1:4

Answers

Step-by-step explanation:

1+4=5

40:5=8

1*8=8

4*8=32

8:32

Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}

Find the probability of the intersection of A and B.

Answers

Answer:

The required probability for the intersection of A & B = 0.25

Step-by-step explanation:

Given that:

Sample space S =  {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Also;

A = {E1, E4, E6}

B = {E2, E4, E7}

C = {E2, E3, E5, E7}

Then

P(A) = 0.05 + 0.25 + 0.10 = 0.4

P(B) = 0.20 + 0.25 + 0.05 = 0.5

P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6

The intersection of A and B are:

P(A ∩ B) = E4

P(A ∩ B) = 0.25

The required probability for the intersection of A & B = 0.25

I
A local pizza shop charges $12.50 for a large, one-topping pizza. Each additional
topping is $1.25.
a. Write an equation for the total cost C of a large pizza with t toppings.
b. How much does it cost for a three-topping pizza?
c. How much does it cost for a five-topping pizza?

Answers

Answer:

12.50+1.25t=c  for A

12.50+ (1.25x3)

               /\

               I

              3.75

12.50+3.75=16.25   fro B

12.50+6.25=18.75

Step-by-step explanation:

u r welcome

How many five letter strings are there that start with a consonant and end with Y where repetition is not permitted

Answers

Answer: 242,880

Step-by-step explanation:

We know that:

We have 5 letters.

There is no repetition allowed.

The strings start with a consonant.

The strings end with the letter Y.

Ok, in our alphabet we have:

26 letters.

21 consonants

5 vowels.

Now, let's count the number of options for each one of the letters in the string.

First letter, this must be a consonant, initially, we can have 21 options, but this string must finish with an Y, and Y is a consonant, so it can not be in the first letter, then for the first letter we have 20 possible options.

Now we have a total of 26  - 1 - 1 = 24 letters left, where we subtracted the consonant for the first letter, and the Y for the last letter.

The options for the second letter will be 24.

The options for the third letter will be 23

The options for the fourth letter will be 22

For the last one we have a fixed value, so we have only one option.

The total number of combinations will be equal to the product between the numbers of options for each letter, this is:

C = 20*24*23*22 = 242,880 possible strings.

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