solve this problem as a quadratic equation. The difference between two positive numbers is 5. Their product is 104 find the numbers.

Answers

Answer 1

Answer: let's call the smaller number x:

y-x=5
xy=104

y-x=5 can be rewritten as y=x+5

Substituting this into the second equation gives:

x(x+5)=104
x^2+5x=104
x^2+5x-104=0

Then simply solve as a quadratic:

x^2+13x-8x-104=0
x(x+13) -8(x+13)=0
(x-8)(x+13) = 0

x=8,-13

the question said the numbers are positive, so x=8

if x=8,

y=x+5
y=13

So the two numbers are 8 and 13.

Answer 2

Answer: The best way to do this is to find the factors of 104. For this I got 1, 2, 4, 8, 13, 26, 52 and 104. From this, you are then able to look at the two that have a difference of five, which in this case, is 8 and 13. You should then double check that when these are multipled, they are equal to 104, which they are. I'm not 100% sure if this is the answer that you are looking for, but the two numbers are 8 and 13

Related Questions

The function of f(x) varies directly with x, and f(x)=48 when x=8.Evaluate f(x) when x=2
The scatter plot shows the number of minutes each of 28 people played a video game and the number of levels each person completed in the video game. Which statement is best supported by the scatter plot? Please help me!!!
Leona tracks her calories burned while boxing. The number of calories she burns is expressed by the function c(t) = 425t, where t is the number of hours spent boxing.To burn more calories, Leona wears heavier gloves while boxing. The number of calories she burns while wearing heavier gloves is expressed by the function b(c) = 1.1c, where c is the number of calories burned while boxing without heavy gloves. Which of the following composite functions expresses the calories, as a function of time, Leona burns while boxing with heavy gloves? c[b(t)] = 467.5t c[b(t)] = 426.1t b[c(t)] = 467.5t b[c(t)] = 426.1t
A pool has 29,000,000 mL how many liters of water can the pool hold
A triangular window has base eight feet and height six feet. What is its area?

How many significant figures does 0.0560

Answers

Answer:

the significant figures of the number 0.0560 is 3.

Step-by-step explanation:

Significant figure is the number of non-zero digits.

The given number is 0.0560

Now, we know that leading zeros are not significant.

Hence, we count the number of digits after the decimal excluding 0.

So there are 3 digits 5,6 and 0.

Hence, we can conclude that the significant figures of the number 0.0560 is 3.

3 significant figures..the zeros are non-significant

A manufacturer produces soda cans and a quality control worker randomly selects two cans from the assembly line for testing. Past statistics show that 14% of the cans are defective. What is the probability that the two selected cans are defective if the quality control worker selects the two cans from a batch of 50 cans?P(Both defective) = 7/50
P(Both defective) = 49/2500
P(Both defective) = 3/175
P(Both defective) = 7/25

Answers

Probability of being defective is 14% = 14/100 = 7/50

P(Both defective) = 7/50 * 7/50 = 49/2500

Find the values of (x) for which the ball's height is 27
feet.
height (h)= 7+37x-16x^2

Answers

sett is to 27
27=7+37x-16x^2
multiply -1 both sides
-27=-7-37x+16x^2
add 27 both sides
16x^2-37x+20=0
use quadratic equation
if yo have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$

1=16
b=-37
c=20

x= $\frac{-(-37)+/- \sqrt{(-37)^(2)-4(16)(20)} }{2(16)}$
x= $(37+/- √(1369-1280) )/(32)$
x= $(37+/- √(89) )/(32)$
aprox
x=0.861438 or 1.45106

17.The speed limit of a highway is 55 miles per hour. A car is traveling at least 65 miles per hour. How many miles per hour m over the speed limit is the car traveling?55 – m ≥ 65; m ≥ 10 m + 65 ≤ 55; m ≤–10 65 – m ≤ 55; m ≤ 10 55 + m ≥ 65; m ≥ 10**** 18. Chris earns $7.00 per hour working on the weekends. He needs at least $210.00 for a new cell phone. How many hours, h, does Chris need to work on the weekends to buy a new phone?
h/7.00 > 210.00; h> 30; 30 hours h/7.00 < 210.00; h < 30; 30 hours 7.00h≥ 210.00; h≥ 30; 30 hours** 7.00h≤ 210.00; h ≤ 30; 30 hours

Answers

Answer:

17.) D.) 55 + m ≥ 65; m ≥ 10

18.) C.) 7.00h≥ 210.00; h≥ 30; 30 hours

Explanation:

I took the test, also your answers were right.

17. 55 + m ≥ 55

18. 210 / 7 = 30 h

h ≥ 30 hours

If a number ends with 0, then it is divisible by 10. What is the contrapositive of this statement?

Answers

Answer: The contrapositive of the statement is

"If a number is not divisible by 10, then it does not end with 0".

Step-by-step explanation: We are given to write the contrapositive of the following statement:

"If a number ends with 0, then it is divisible by 10".

We know the contrapositive of a conditional statement of the form

"If p then q" is given by "If not q then not p".

Or,

the contrapositive of "p ⇒ q" is "~q ⇒ ~p".

So, the contrapositive of the given statement is

"If a number is not divisible by 10, then it does not end with 0".

Thus, the contrapositive of the statement is

"If a number is not divisible by 10, then it does not end with 0".

The contrapositive of the statement $p\implies q$ is $\neg q\implies \neg p$ .

So the contrapositive for this statement would be, "If a number is NOT divisible by 10, then it does NOT end with 0". ("not" capitalized for emphasis)

Consider the graph of the linear function h(x) = –6 + h(x) equals negative 6 plus StartFraction 2 Over 3 EndFraction x. x. Which quadrant will the graph not go through and why? Quadrant I, because the slope is negative and the y-intercept is positive Quadrant II, because the slope is positive and the y-intercept is negative Quadrant III, because the slope is negative and the y-intercept is positive Quadrant IV, because the slope is positive and the y-intercept is negative

Answers

The graph will not pass through quadrant II, because the slope is positive and the y-intercept is negative. The correct option is B.

What is a linear function?

The word "linear function" in mathematics refers to two different but related ideas: In calculus and related fields, a linear function is a function whose graph is a straight line, i.e., a polynomial function of degree zero or one.

Given function is y = ( -6 + ( 2 / 3 ) x. By plotting the graph on the coordinate axis it is observed that the graph of the function passes through the first third and fourth quadrants.

The coordinates of the graph cutting on the x and y axis are ( 9, 0 ) and ( 0, -6). The graph of the linear equation is attached with the answer below.

Therefore, the graph will not pass through quadrant II, because the slope is positive and the y-intercept is negative. The correct option is B.

To know more about linear functions follow

brainly.com/question/2030026

#SPJ2

Answer:

Quadrant II, because the slope is positive and the y-intercept is negative, I just took the test.

Step-by-step explanation:

Other Questions

A cupcake shop sells an average of 14 dozen cupcakes a day to about 50 customers. What is their average sales rate, in cupcakes per customer.?

How many ways can 11 pairs of shoes be arranged?

You go to a harvest festival and pick apples.equation: y = 0.75x + 5 b. The cost of going to the festival is the sum of the cost of picking x pounds of apples, ____ , and the cost of admission, $____

Jay has 8 apples and he ate 4 people how many apples does he have left?