All categories

3 years ago

The product (x) of two numbers is 24 and their sum (+) is 10. What is the value of the largest of the two numbers?

Mathematics

1 answer:

RideAnS [48]3 years ago

4 0

let the two numbers be x and y

From the first sentence,

xy=24

x+y=10

Then make y in equation 2 the subject of the formular and substitute in equation 1

x+y=10

y=10-x

substituting in equation 2

x(10-x)=24

open the bracket

10x-x^2=24

=-x^2+10x=24

Transfer the constant to the left hand side

=-x^2+10x-24=0

Then factorise completely

Look at the photo above

You might be interested in

Read and answer questions

Rainbow [258]

If a college has 17 tutors to be appointed among the students in four departments, and the number of students in each department is 315, 310, 105 and 80 respectively, the Standard Divisor is 47.647

As per the question statement, a college has 17 tutors to be appointed among the students in four departments, and the number of students in each department is 315, 310, 105 and 80 respectively.

We are required to calculate the Standard Divisor of the above mentioned problem.

To solve this question, we need to know the formula to calculate the standard divisor, which goes as,

Standard Divisor = [(Total Population)/(Number of Candidates)]

Here, the total population of students = (315 + 310 + 105 + 80) = 810

And, the number of teachers to be appointed = 17 (given)

Therefore, Standard Divisor = (810 / 17) = 47.647

Standard Divisor: In Mathematics, standard divisor is the quotient of the total population divided by the number of seats (or other allocations) to be distributed.

To learn more about Standard Divisor, click on the link below

brainly.com/question/17123675

#SPJ1

5 0

1 year ago

A probability experiment is conducted in which the sample space of the experiment is Sequals=StartSet 9 comma 10 comma 11 comma

White raven [17]

Answer:

From both approaches P(F or G)=0.667

Step-by-step explanation:

P(F or G)=?

F={9, 10, 11, 12, 13}

G={13,14,15,16}

Finding P(F or G) by counting outcomes in F or G

F or G={9, 10, 11, 12, 13}or {13,14,15,16}

F or G={9, 10, 11, 12,13,14,15,16}

number of outcomes in F or G=n(F or G)=8

S={9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

number of outcomes in S=n(S)=12

P(F or G)=n(F or G)/n(S)

P(F or G)=8/12

P(F or G)=0.667

Finding P(F or G) by addition rule

P(F or G)=P(F)+P(G)-P(F and G)

F={9, 10, 11, 12, 13}

number of outcomes in F=n(F)=5

P(F)=n(F)/n(S)

P(F)=5/12

P(F)=0.417

G={13,14,15,16}

number of outcomes in G=n(G)=4

P(G)=n(G)/n(S)

P(G)=4/12

P(G)=0.333

F and G={9, 10, 11, 12, 13}and {13,14,15,16}

F and G={13}

number of outcomes in F and G=n(F and G)=1

P(F and G)=n(F and G)/n(S)

P(F and G)=1/12

P(F and G)=0.083

P(F or G)=P(F)+P(G)-P(F and G)

P(F or G)=0.417+0.333-0.083

P(F or G)=0.667

8 0

3 years ago

Read 2 more answers

Conjecture #2- The product of two rational numbers is always?

Gala2k [10]

Answer:

Rational

Step-by-step explanation:

It is always going to be RATIONAL.

5 0

3 years ago

In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard dev

Paha777 [63]

Answer:

0.3114

Option d is right

Step-by-step explanation:

Let X be the time spent on a treadmill in the health club

Given that research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes

Also given that X is normal

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.

$= P(30$

round off to two decimals tog et

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31

Hence option d is right

3 0

4 years ago

What is the solution to this equation? 9^x – 1 = 2 A. 1 B. 2 C. -1/2 D. 1/2

choli [55]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers