1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Novosadov [1.4K]
3 years ago
11

A positive integer is 47 more than 9 times another. Their product is 1860. Find the two integers.

Mathematics
1 answer:
svlad2 [7]3 years ago
8 0
X = 47 + 9y
xy = 1860

y(47 + 9y) = 1860
47y + 9y² = 1860
9y² + 47y - 1860 = 0

> using a quadratic equation solver on a calculator but you can also use the quadratic equation = [-b+/- √(b²-4ac)]/(2a)
> only integer solution is x = 12

12y = 1860
y = 155

integers are 12 and 155


You might be interested in
A ball is projected in to the air. Its height at time t is given by the equation
Ksju [112]
The equation gives the height of the ball. That is, h is the height of the ball. t is the time. Since we are looking for the time at which the height is 8 (h=8), we need to set the equation equal to 8 and solve for t. We do this as follows:

h=-16 t^{2} +60t+1
8=-16 t^{2} +60t+1
16 t^{2} -60t-1+8=0
16 t^{2} -60t+7=0

This is a quadratic equation and as it is set equal to 0 we can solve it using the quadratic formula. That formula is:
t= \frac{-bplus minus \sqrt{ b^{2}-4ac } }{2a}
You might recall seeing this as "x=..." but since our equation is in terms of t we use "t-=..."

In order to use the formula we need to identify a, b and c.
a = the coefficient (number in front of) t^{2} = 16.
b = the coefficient of t = -60
c = the constant (the number that is by itself) = 7

Substituting these into the quadratic formula gives us:
t= \frac{-(-60)plus minus \sqrt{ (-60)^{2}-4(16)(7) } }{2(16)}
t= \frac{60plus minus \sqrt{3600-448 } }{32}
t= \frac{60plus minus \sqrt{3152 } }{32}

As we have "plus minus" (this is usually written in symbols with a plus sign over a minus sign) we split the equation in two and obtain:
t=  \frac{60+56.1426}{32} =3.63
and
t=  \frac{60-56.1426}{32} =.12

So the height is 8 feet at t = 3.63 and t=.12

It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.


3 0
3 years ago
Need asap please!!!!
kirill [66]

Answer:

use ur brain

Step-by-step explanation:

ask ur teacher if the be bad teacher google it

7 0
3 years ago
Translate into an alegbraic expression and simplify if possible.
serg [7]

Answer:

(10-x)GB

Step-by-step explanation:

Music=10-x, simple arithmetic

6 0
3 years ago
Use the clustering estimation technique to find the approximate total in the following question. What is the estimated sum of 60
Airida [17]
ANSWER: A 2,200 (answer when added: 2,168)
7 0
2 years ago
Read 2 more answers
Can someone explain to me how to do this exercise?
kolbaska11 [484]
Hi
You should put into them.I mean
1-This is 2 part.First, you should put f(-1) then you should put what you found.
Solve is:f(-1)=3(-1)-2(-1)^2 so -3-2=-5 then put in other one:if f(-5):-15-50=-65
Is it correct? 
4 0
3 years ago
Other questions:
  • The vertex of this parabola is at (-2,-3). When the y-value is -2 the x-value is -5. What is the coefficient of the square term
    15·1 answer
  • larry is shipping nails that weigh a total of 53 pounds. He divides the nails equally among 4 shipping boxes. How many pounds of
    6·2 answers
  • Find the Taylor series for f(x)=sin(x) centered at c=π/2.sin(x)=∑ n=0 [infinity]On what interval is the expansion valid? Give yo
    14·1 answer
  • You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How
    10·2 answers
  • Please help me on this question
    15·1 answer
  • What is the probability of spinning an A?
    15·1 answer
  • At Ole's Waffle Shop there are 81 dirty coffee mugs and 9 clean coffee mugs. What percentage of the coffee mugs at the waffle sh
    10·1 answer
  • What is the midpoint of the segment shown below?
    10·1 answer
  • Classify the number -3
    11·1 answer
  • The prevalence of cigarette smoking in the united states is in decline if the percentage of smokers in 2014 was 16.7% and the pe
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!