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
V125BC [204]
3 years ago
15

An integer is three more than another integer. Twice the larger integer is two less

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

You might be interested in
This is going to be long but here I go
Thepotemich [5.8K]

Answer:

Expression : 6m - 120

Savings: $270

Step-by-step explanation:

Expression: 20 * 6 = 120

so you save $120 dollars every 6 months

Savings: 6(65)-120

^^substitute "m" for her pay or 65 in this case

390-120

^multiply 6 * 65

270

^subtract 390 - 120

5 0
3 years ago
Help me pls. I do not understand this 25 points
valina [46]

Answer:there is no picture

Step-by-step explanation:

5 0
3 years ago
A radio telescope has a parabolic surface. If it is 1m deep and 16m wide how far is the focus from the vertex?
Mrac [35]
Basing on the description, a parabola opening up with vertex at origin, the formula with vertex at origin is used, x^2 = 4py. p is the focus and so with the dimensions given, we obtain a 0.25 and that is the distance of the focus to the vertex.
6 0
3 years ago
Which of the following could be the system of nonlinear inequalities graphed below?
Ivan

Answer:

Option A.

Step-by-step explanation:

step 1

we know that

The equation of the solid line is

y=5

The solution is the shaded area above the solid line

so

The equation of the first inequality is

y\geq 5

step 2

The equation of the dashed line is

y=x^{2} -5x+6

The solution is the shaded area above the dashed line

so

The equation of the second inequality is

y>x^{2} -5x+6

therefore

The system of inequalities could be

y\geq 5

y>x^{2} -5x+6

4 0
3 years ago
Which expression is equivalent to
maksim [4K]
The answer is C . -7r^2 + 12r -8
5 0
3 years ago
Other questions:
  • What is the value of n?
    10·2 answers
  • Kim's softball team is playing in the championship game. They are losing by a score of 17 to 6. There are 4 innings to go. Kim w
    5·2 answers
  • How do i solve 3(2x+1)
    9·1 answer
  • For the function f(t) = Pe^rt, if P= 6 and r = 0.06, then what is the value of f(6) to the nearest tenth? A. 219.6 B. 8.6 C. 0.1
    11·1 answer
  • A rectangular fish aquarium measures 14 in x 24 in x 12 in. If the tank is half full how much more water (in cubic inches) needs
    14·1 answer
  • You earn $1,166 gross taxable income every week, and have claimed no exemptions. Assuming that you have no other sources of inco
    15·2 answers
  • Y=4x+2 passes through point (3,-5)
    8·1 answer
  • Anna is ordering t-shirts for a community run. The company Anna is ordering from charges $12 per shirt and a shipping fee of $8.
    8·1 answer
  • Solve for X. Go look at my other question
    14·1 answer
  • Solve for x help plz
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!