All categories

2 years ago

Find three consecutive even integers if the third is 8 less than twice the second

Mathematics

1 answer:

lianna [129]2 years ago

7 0

Answer:

8, 10, 12

Step-by-step explanation:

Because they are even there is a whole number x so that (1st)2x, (2nd) 2x+2, and (3rd)2x+4 are the 3 consecutive integers.

If the third is 8 less than twice the 2nd then:

3rd = 2 (2nd) - 8

2x + 4 = 2 (2x+2) - 8

2x + 4 = 4x + 4 - 8

2x + 4 = 4x - 4 Add 4 to each side

2x + 4 + 4 = 4x - 4 + 4

2x + 8 = 4x Subtract 2x from each side

2x - 2x + 8 = 4x - 2x

8 = 2x Divide each side by 2

8/2 = 2x/2

8/2 = x

4 = x

No we plug into our equations to find the integers.

2x = 2(4) = 8

2x + 2 = 2(4) + 2 = 8 + 2 = 10

2x + 4 = 2(4) + 4 = 8 + 4 = 12

So our integers are 8, 10, 12

You might be interested in

A recipe calls for 1 2/3 cups of sugar. If you

Kruka [31]

Answer: 5

Step-by-step explanation: You have to multiply 1 2/3 and 3.

I hope this helps you out!

7 0

2 years ago

Read 2 more answers

Which shows the correct substitution of the values a, b, and c from the equation 0 = 4x2 + 2x – 1 into the quadratic formula bel

neonofarm [45]

Answer:

x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^2+bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^2-4ac} }{2a}$

in this problem we have

$4x^2 + 2x - 1=0$

$a=4$

$b=2$

$c=-1$

substitute in the formula

$x=\frac{-2(+/-)\sqrt{2^2-4(4)(-1)} }{2(4)}$

therefore

x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction

8 0

1 year ago

Read 2 more answers

If tatianna works 3hrs a day on school days and make $123.75 a week what is her hourly rate?

madreJ [45]

Answer:

Her hourly rate is $8.25

Explanation:

Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week

We know that:

There are 5 school days in a week

We are given that:

She works for 3 hours a day each of those days

Therefore:

Total number of hours worked = hours worked daily * number of days

Total number of hours worked = 3 * 5 = 15 hours in a week

The equation used to calculate Tatianna's earnings is:

Amount she makes in a week = Total number of hours worked * hourly rate

Now, we substitute with the givens to get the hourly rate as follows:

Amount she makes in a week = Total number of hours worked * hourly rate

123.75 = 15 * hourly rate

Hourly rate = $8.25

6 0

2 years ago

Given that tan? Tan^2 0=3/8 what is the value of sec 0?

Ronch [10]

Answer:

1.068.

Step-by-step explanation:

Use the identity

sec^2 O = 1 + tan^2 O

= 1 + (3/8)^2

= 1 9/64

= 73/64

so sec O = √73/8

= 1 .068.

7 0

2 years ago

How many solutions does this equation have

Stells [14]

Answer:

I m not sure, I can't see

Step-by-step explanation:

8 0

2 years ago