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
Arada [10]
3 years ago
14

An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.

Mathematics
2 answers:
11111nata11111 [884]3 years ago
8 0

Answer:

3, 12

Step-by-step explanation:

Et x and y be the required integers.

Case 1: x = 5y - 3...(1)

Case 2: xy = 36

Hence, (5y - 3)*y = 36

5 {y}^{2}  - 3y = 36 \\ 5 {y}^{2}  - 3y - 36 = 0 \\ 5 {y}^{2}  - 15y + 12y - 36 = 0 \\ 5y(y - 3) + 12(y - 3) = 0 \\ (y - 3)(5y + 12) = 0 \\ y - 3 = 0 \: or \: 5y + 12 = 0 \\ y = 3 \:  \: or \:  \: y =  -  \frac{12}{5}  \\  \because \: y \in \: I  \implies \: y \neq   -  \frac{12}{5}  \\ \huge \purple{ \boxed{ \therefore \: y = 3}} \\  \because \: x = 5y - 3..(equation \: 1) \\  \therefore \: x = 5 \times 3 - 3 = 15 - 3 = 12 \\ \huge \red{ \boxed{ x = 12}}

Hence, the required integers are 3 and 12.

Natalija [7]3 years ago
3 0

Answer:

3 and 12

Step-by-step explanation:

Let's call the numbers x and 5x - 3. We can write:

x * (5x - 3) = 36

5x² - 3x = 36

5x² - 3x - 36 = 0

(5x + 12)(x - 3) = 0

x = -12/5 or x  =3

Since -12/5 is not an integer the answer must be x = 3 which makes the numbers 3 and 12.

You might be interested in
Kyle notices that the number of likes he receives each day on his social media page is a function. He decides to create a graph
nadya68 [22]

Answer:

D) 360

Step-by-step explanation:

The data Kyle collected is (0, 0), (1, 12), and (2, 24), where x represents days and y represents likes.

We can write a linear function to model this situation.

This will be of the form

y = mx

because it passes through the origin , where m is the slope.

The slope is

m =  \frac{12 - 0}{1 - 0}  = 12

Hence the equation is

y = 12x

To find the number of likes on the 30th day, we put x=30 into the equation to get:

y = 12 \times 30 = 360

The correct choice is D

5 0
3 years ago
I don’t get it I need help solving this math problem I
harkovskaia [24]

Answer:

Step-by-step explanation:

you know the total angle is 180° from A to D

and you know that ∠BEC is 90°

also you are told that ∠CED is 18°

and that ∠AEB is 4x°

so just put that all together

180=90 + 18 +4x

now solve for X

180-90-18=4x

72=4x

18 = x

so now you know X

now solve ∠AEB

4(18) = 72°

∠AEB= 72°

:)

6 0
2 years ago
PARAMETRIC EQUATIONS HELP!!!
Alona [7]

Answer:

1. Option A

2. Option B

Step-by-step explanation:

I would like to elaborate on the answer to the second question, since the first answer is actually  option a. Why? The question asks for a parametric equation, not set, so it would be choice a.

2. x=3t + 5 - isolate t

t=(x-5)/3 - substitute into the second equation

y = [(x-5)/3]^2 - 1

your solution is  option b

4 0
2 years ago
Choose the correct equation for the parabola based on the given information. Given: Focus:(2,8) Directrix: y = 4 a. 2(y-2)= (x-
Harman [31]
<h3>Answer:  c. 8(y-6) = (x-2)^2</h3>

Explanation:

The directrix is horizontal, so the axis of symmetry is vertical. We'll have an x^2 term. The vertical distance from y = 4 to y = 8 is 4 units. Cut this in half to get 2, which is the focal distance p = 2.

The point (2,4) is directly below (2,8), and the point is on the directrix. The midpoint between (2,4) and (2,8) is (2,6). This is the vertex.

(h,k) = (2,6)

4p(y-k) = (x-h)^2

4*2(y-6) = (x-2)^2

8(y-6) = (x-2)^2

8 0
3 years ago
Abby wants to buy one shirt for $25 and three pairs of socks for $2 per pair. If sales tax is 8%, how much will she pay in tax?​
klemol [59]

Answer:

28.52

Step-by-step explanation: you're welcome

7 0
3 years ago
Read 2 more answers
Other questions:
  • A. crystal lund has been your trusted employee for 25 years. she performs all​ cash-handling and accounting duties. crystal just
    12·1 answer
  • Solve the quadratic equation by completing the square.<br><br> 4x2 + 8x - 7 = 0
    15·1 answer
  • Three divide eigthteen
    13·2 answers
  • Sally has 6 boxes of colored pencils only three of the boxes contain 12 colored pencils each .the remaining boxes each contain 2
    11·1 answer
  • Can someone please help me!! Ive been asking for help and I not getting any.. please help
    15·1 answer
  • The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel betwee
    6·2 answers
  • 3x + 2y = 30<br> 5x - 2y = 2<br><br> X= <br> Y=
    12·1 answer
  • 7. Which of the following is equal to<br>AnB ?​
    12·1 answer
  • Y is directly proportional to x. when y=30, x=6. A) work out an equation connecting y and x. B) work out what the value of y whe
    13·1 answer
  • Solve for m<br> kx-bf=fy/m
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!