Dawdawdadaw pls help me

The product of two numbers is 240. The first number is 8 less than the second number. Write an equation can be used to find x

DaniilM [7]

Answer:

The equation x = y-8

The equation (y-8) y = 240

The first number x = 12 and second number y =20

Step-by-step explanation:

Explanation:-

Step(l):-

Let 'x' be the first number and 'y' be the second number

Given the product of two numbers is 240

Given data x y = 240 …(l)

Given data the first number is 8 less than the second number.

x = y-8...(ll)

Substitute (ll) in equation (l) , we get

(y-8) y = 240

$y^{2} -8y -240 =0$

$y^{2} -20y+12y -240 =0$

$y(y -20)+12(y -20) =0$

$(y +12)(y -20) =0$

y = -12 and y = 20

Y= -12 is not satisfied

we can choose y = 20

Step(ll):-

Given data x =y-8

substitute value y = 20 in x = y -8

x = 20-8 = 12

Final answer:-

The first number x = 12 and second number y =20

4 0

3 years ago

A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

3 years ago

Sean and Kyle have 26 dollars between them. If Sean has 8 more dollars than Kyle, how much money does Kyle have, in dollars?

vredina [299]

Answer: 9$

Step-by-step explanation:

kyle has x dollars. Sean has x+8 dollars. They equal 26. 2x+8=26

2x=18

x=9

7 0

3 years ago

Read 2 more answers

How do I put these equations into vertex form?

kenny6666 [7]

I found my notes for this exact paper and I have that first problem written. hopefully this helps

4 0

3 years ago

Explain in your own words what domain and range mean

a_sh-v [17]

A domain is an input that you put in an equation(x). A range is an output (y) that is the result of a certain input.

Hope this helps and please mark as brainliest!

3 0

3 years ago

Read 2 more answers