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
AysviL [449]
3 years ago
7

Consider two consecutive positive integers such that the square of the second integer added to 3 times the first is equal to 37.

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0

Am I supposed to consider or solve?   Let's solve.

Let's call our integers x and x+1

square of the second integer added to 3 times the first is 37

(x+1)² + 3x = 37

x² + 2x + 1 + 3x - 37 = 0

x² + 5x - 36 = 0

(x+9)(x-4) = 0

Answer: x = -9 or x=4

Check:

x=-9

(-9+1)² + 3(-9) = 64 - 27 = 37 good

x=4

(4+1)² + 3(4) = 25 + 12 = 37 good

Two solutions.

You might be interested in
Miguel Rodriguez Borrowed $400 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simp
DENIUS [597]

The simple interest is calculated as :

S.I = P*T*R

where S.I is the simple interest to be calculated

P = Principal

T = Time period in years

R = Annual interest rate

The the above problem,

Amount borrowed which would be the principal (P) = $400

Time period = 6 months = 1/2 year

Annual interest rate = 6.8% = 6.8/100 = 0.068

Simple Interest = P*T*R

Simple Interest = 400*1/2*0.068 = 200 *0.068

Simple Interest = $13.6

The simple interest amount that Miguel must pay to Julio at the end of six months is $13.6

8 0
2 years ago
Read 2 more answers
Determine the volume and the total surface area of the square pyramid.if its perpendicular height is 12cm and square length is 5
Vika [28.1K]

Answer:

Volume = 100 cm³

​Surface area of the square pyramid = 145 cm²

Step-by-step explanation:

Given:

Perpendicular height = 12cm

Square length = 5cm

Find:

Volume

​Surface area of the square pyramid

Computation:

Area of base = side²

Area of base = 5²

Area of base = 25 cm²

Volume = (1/3)(A)(h)

Volume = (1/3)(25)(12)

Volume = 100 cm³

​Surface area of the square pyramid = A + 1/2(P)(h)

Perimeter square pyramid = 4(s)

Perimeter square pyramid = 4(5)

Perimeter square pyramid = 20 cm

​Surface area of the square pyramid = 25 + 1/2(20)(12)

​Surface area of the square pyramid = 145 cm²

3 0
2 years ago
Give in, interval notation, the unknown numbers in the following description. When 4 is added to twice a number, the result is g
lbvjy [14]
The answer is 8 hope this helps all u have to do is figure out what two numbers added togher give you 18
5 0
3 years ago
Which statement about these figures is true?
VikaD [51]

Answer:

OA and OC hope that helps :)

5 0
2 years ago
(temperature) answer answer answer answer answer answer answer answer answer answer answer
Bond [772]

Answer:

100

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Solve: |2 + 4x| 11
    9·1 answer
  • Find each percent of change. 105 is decreased to 32
    9·1 answer
  • Where would 2015 be on a mod 7 clock
    12·1 answer
  • (2 - 3)4(4) - 9 ÷ 3.
    5·2 answers
  • Help please !!!!!!!!!!
    8·1 answer
  • Which of the following real numbers is NOT and irrational number?
    12·1 answer
  • Show your work on the number line 3-1 3/4?<br>​
    8·1 answer
  • If the domain of a function that is reflected over the x-axis is (1, 5), (2, 1), (-1, -7), what is the range?
    10·1 answer
  • Help pls and thank u!<br><br><br><br> ...
    12·1 answer
  • (System of equations) The difference of two numbers is 3. Their sum is 77. Find the numbers.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!