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

Answers

Answer 1

Answer:

3 and 12

Step-by-step explanation:

3*5=15 and 15-3=12. The product of 3 and 12 is 36.

Answer 2

The integers are 3 and 12.

What is Algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

let the one integer be x.

Another integer = 5x - 3

According to question,

x *(5x-3 ) =36

5x ² -3 x =36

5x² -3 x - 36 = 0

5x² -15 x +12 x - 36 =0

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

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

x= -12/5 or 3

So, the integers are 3 and 12.

Learn more about this concept here:

https://brainly.com/question/17023448

#SPJ2


Related Questions

What is f(4) for the function f(x)= 6x+7?

Answers

Answer:

31

Step-by-step explanation:

f(4) = 6x4 + 7

= 24 + 7

= 31

A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D and the long-on at C. The angle AD makes with the ground is 30 ° and the angle between the two wires is 10 °. How much below the top of the tower is the shorter one attached?

Answers

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

[tex] \theta = 30 + 10 = 40 [/tex]

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{BC}{42} [/tex]

Multiply both sides by 42

[tex] tan(40) \times 42 = \frac{BC}{42} \times 42 [/tex]

[tex] 35.24 = BC [/tex]

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

[tex] \theta = 30 [/tex]

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(30) = \frac{BD}{42} [/tex]

Multiply both sides by 42

[tex] tan(30) \times 42 = \frac{BD}{42} \times 42 [/tex]

[tex] 24.25 = BD [/tex]

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

A wave is traveling with a speed of 500 m/sec and has a wavelength of 10 m. Determine its frequency.

Answers

Answer:

I'm gonna get more people here

Answer:

50 hz  yw pplz

Step-by-step explanation:

A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively?

Answers

Answer: -81

Step-by-step explanation:

Let x = the car moving towards west = 30

Let y = truck moving towards north = 40

dx/dt = -55

dy/dt = -60

We the use Pythagoras theorem to solve further where,

s² = x² + y²

s² = 30² + 40²

s² = 900 + 1600

s² = 2500

s =✓2500

s = 50

We then differentiate with respect to t, then we will have:

s² = x² + y²

2s ds/dt = 2x ds/dt + 2y dy/dt

50 ds/dt = (30 × -55) + (40 × -60)

50 ds/dt = -1650 - 2400

50 ds/dt = - 4050

ds/dt = -4050/50

ds/dt = -81

Other Questions
3x+14=2(2x-3), steps to solve 2. List some natural resources of the Central America and Caribbean subregion that are important to the global economy. plz help meWhat was the political structure of the Persian Empire under Darius? Choose three correct answers.The empire was one very large state.The empire was organized into 20 satrapies.Each state of the empire was ruled by a satrap.Darius made sure every satrapy had a military commander.The Persian government did not allow other religions to be practiced. what does x = ? need help with the pythagorean theorem CULINARY ARTS 20 POINTS Type the correct answer in the box. Spell all words correctly.Which type of food is traditionally served all at once with individual servings of rice or noodles and communal dishes?In contrast to the formal structure of *Answer Here*cuisine, Vietnamese food (as in much of Asia) is served all at the same time. You have abowl of rice or noodles in front of you, and a wide array of communal dishes for you to share.ResetNextentum. All rights reserved. A stock has a beta of 1.2. Suppose the expected market risk premium (EMRP) is 6% and the risk-free rate is 1%. What is this stock's expected return according to the CAPM 3. PART A: What does the word "spectacle" most closelymean as it is used in paragraph 2?O A Tragic hardship or misfortuneOB Success as the result of deceit or foul playC A boring or mundane storyO D A dramatic scene often involving scandal Which of the following phrases describe the function of the digestive system?l. Smooth, muscular tube connects the mouth to the stomachll. Muscular action in the esophagus pushed food to the stomach lll. Structures called the microvilli to increase the surface area of the intestineslV. Nutrients are made available to the body's cellsA. l and llB. ll and lllC. ll and lVD. lll and lV Nonskid mats are a physical hazard.TrueFalse what do you think Odysseus greatest obstacles will be on his journey home? TIMES PLEASE HURRY. The image shows a map of the number of operating spindles in 1840.A map of the number of operating spindles in the U S in 1840.Which region dominated cotton spinning in 1840?the SouthNew Englandthe Midwestthe far West A bus travels a distance 150kmin 5 hours where as another bus travel 200km in 6 hours which bus travel fast Armon has a prepaid cell phone. This month he will like to purchase a $9 message package. The rate plan for the talk time is $0.10 per minute. Write an inequality for the maximum amount of talk time that Armon can purchase for his bill to stay under $45.Pls show step-by-step! :) Fill in the blank to find the y-intercept.(0,_____) A settling tank has an influent rate of 0.6 mgd. It is 12 ft deep and has a surface area of 8000 ft. What is the hydraulic retention time? There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are in one hour? Differentiate normal rain from acid rain. Describe the way each affects the weathering of rock. please I need this answer fast Solve the system of equations by the elimination method: \large 9x+y=-8 and \large 4x+y=2. Then fill in the solution as an ordered pair: do seeds need energy to germinate ab (3a-5b) equals to?