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
stellarik [79]
3 years ago
12

The product of the first and third of three consecutive integers is 3 more than 3 times the second integer. Find the integers.

Mathematics
1 answer:
puteri [66]3 years ago
4 0

Let:

x = the middle integer

Then the 3 consecutive integers are:

x - 1, x, x + 1

The product of the first and the third integer:

(x - 1)*(x + 1) = x^2 - 1

is equal to:

3 more than 3 times the second integer:

3x + 3

So:

x^2 - 1 = 3x + 3

Solve:

x^2 - 3x - 4 = 0

(x-4)(x+1) = 0

x = -1 and 4

Since x is the middle integer, we have two sets of solutions:

3,4,5 and -2,-1,0

You might be interested in
At a TV.repair shop, the amount charged for labor depends on the time the
Pepsi [2]

Answer:

A. Amount(hours worked)  

Step-by-step explanation:

Function notation is a way of converting a written description of a function to a concise form that is easy to read.

It is another way of representing the y-value in a function, y = ƒ(something)

Let's convert the word expression to function notation:

  • "The amount charged for labour depends on the time the repair technician works."
  • "The amount depends on the hours worked."
  • "The amount is a function of the hours worked."
  • Amount = amount(hours worked)
  •           y = a(h)

6 0
3 years ago
Beyonce is solving a system of equations:
Sholpan [36]

Answer:

Beyonce will get the same result.

Step-by-step explanation:

The given system is

2x-3y=-2

and 4

x+y=24

This system contains two lines that are not parallel to each other therefore the solution x=5, y=4 is unique.

It doesn't matter which method he used or which variable he eliminated first.

The solution will still be the same.

If the system of two equations with has no solution, the Beyonce will not get a solution in the first place, but the fact that the system has no solution remains the same even if Beyonce uses a different method.

If there are infinite solutions, Beyonce might get different solutions using a different method, but the fact that the system has infinite solution remains the same.

4 0
4 years ago
A young child throw a ball upwards with an initial velocity of 20 feet/second. The height of the ball (in feets) after t seconds
Levart [38]
If this is a parabolic motion equation, then it is a negative parabola, which looks like a hill (instead of a positive parabola that opens like a cup). Your equation would be h(t)= -16t^2 + 20t +3. That's the equation for an initial velocity of 20 ft/s thrown from an initial height of 3 ft. And the -16t^2 is the antiderivative of the gravitational pull. Anyway, if you're looking for the maximum height and you don't know calculus, then you have to complete the square to get this into vertex form. The vertex will be the highest point on the graph, which is consequently also the max height of the ball. When you do this, you get a vertex of (5/8, 9.25). The 9.25 is the max height of the ball.
7 0
3 years ago
ed is using the recipe shown to make fruit salad he wants to use 30 diced stawberries in his vruit sald how many bananas apples
Leya [2.2K]
We know that 1 serving = 4 bananas 
3 apples
6 pears
and 20 strawberrys
To get 30 we need to half 20 =10    20+10=30

That means we also needs to half the other ones
1/2 of 4 = 2   4+2=6
1/2 of 3 = 1.5 3+ 1.5=4.5
1/2 of 6 = 3  6+3=9

6 Bananas
4.5 Apples
9 Pears
30 strawberries diced.
6 0
3 years ago
Read 2 more answers
NEED HELP!!! Please answer the question! WILL GIVE BRANILY! 15 POINTS!!!
rewona [7]

Answer: D. Cannot be determined.

If Angle 3 were not included, the answer would be A, 360°

Step-by-step explanation: When the lines a, b, & c are parallel, the line intersecting them forms angles that are vertical, supplementary and/or corresponding and congruent.

Here, angles 4 and 5 are supplementary. No need to know their exact measurements. Together, their sum is 180°

Angles 1 and 2 are also supplementary, another 180°

But we don't know the measure of angle 3, so getting an exact sum is impossible here.

5 0
3 years ago
Other questions:
  • Translate the sentence into an equation. Twice the sum of a number and 5 equals 8
    14·1 answer
  • . The larger number is 19 more than the smaller number. What are the numbers?
    14·1 answer
  • The probability of the intersection of two events is known as a ________ probability.
    15·1 answer
  • does this inequality sometimes, always, or never true for any value of the variable. 12s. > 10s
    10·1 answer
  • A company that makes​ hair-care products had 4,000 people try a new shampoo. Of the 4,000 ​people, 28 had a mild allergic reacti
    5·1 answer
  • Find the derivative of x^2=2 at x=0
    6·1 answer
  • _______________________
    5·1 answer
  • State the factoring rule for difference of two squares a2-b2
    5·1 answer
  • The formula for the area of a square is A=s? where s represents the side length of a square. If the side length of the square is
    9·1 answer
  • What are the dimensions of a rectangle with an area of 72 square centimeters and a perimeter of 36 centimeters?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!