All categories

4 years ago

Four times the smallest of three consecutive integers is three more than three times the largest. What is the middle integer?

Mathematics

1 answer:

kozerog [31]4 years ago

3 0

Let, first integer is x.

Therefore, other two are x+1 , x+2 .

Now, mathematical expression of given conditions is :

4x + 3 = 3(x+2)

4x + 3 = 3x + 6

x = 3.

So, the consecutive numbers are 3 , 4 and 5.

Therefore, the middle integer is 4.

Hence, this is the required solution.

You might be interested in

Which of the following is not considered a buying incentive?

Tems11 [23]

The answer to this is B.

5 0

4 years ago

Write 31.4 % as a decimal

saw5 [17]

31.4% should be divided by 100 to get decimal
31.4/100
0.314

5 0

4 years ago

What is the x, y, and z for this question?

Monica [59]

Answer:

x= -2

y=0

z= 1

Step-by-step explanation:

{-x+5y-10z=-8

2x-y+10z=6}

{2x-y+10z=6

-7x-3y-10y=4}

{-x+5y-10z=-8

2x-y+10z=6} = x+4y=-2

{2x-y+10z=6

-7x-3y-10y=4} = -5x-4y=10

{x+4y=-2

-5x-4y=-10}. =. y= 0 x= -2

substitute x and y in -x+5y-10z=-8

-(-2)+5(0)-10z=-8

solve for z

z= 1

(x,y,z) = (-2,0,1)

hope this helps

4 0

3 years ago

In 5 OR MORE SENTENCES, write a short story explaining the graph OR write about the key features of the graph.

rewona [7]

The graph illustrated is divided into three seperate sections namely A, B and C, the short story culled from the graph is described thus:

Rate of change or slope = (Rise/ Run)

Rise = y2 - y1
Run = x2 - x1

SECTION A:

Slope = (40 - 0) ÷ (20 - 0) = 40/20 = 2

Distance traveled = 50 meters

SECTION B :

This section gives an horizontal line, hence, the slope is 0.

Distance covered = 0 ; as there was no change in the distance over the period of time.

SECTION C:

Slope = (80 - 50) ÷ (70 - 60) = 30/10 = 3

The total distance traveled = 80 - 50 = 30 meters

The total distance and time spent traveling :

Total distance traveled = (50 + 30) = 80 meters

Total time spent = 70 seconds (time at the 80 meter mark)

Hence, the story.

Learn more : brainly.com/question/25309609

6 0

3 years ago

Quadratic Functions in Standard Form

Stels [109]

Answer:

You just need to put the given value of x-input in function f(x)=2x²+6x-8 to get y-output

5 0

3 years ago