All categories

3 years ago

Find three consecutive integers such that the sum of the first and third is 22? need help with it

Mathematics

2 answers:

marusya05 [52]3 years ago

8 0

Answer:

10, 11 and 12.

Step-by-step explanation:

Let the integers be x, x+1 and x+2. Then:

x + x+2 = 22

2x = 22 - 2 = 20

x = 20/2

x = 10.

coldgirl [10]3 years ago

4 0

Answer:

Consecutive integers:

(x+1)

(x+2)

Now your equation is given by sum of the first and twice the third is equal to four times the second decreased by five:

x+2(x+2) = 4(x+1)-5

Step-by-step explanation:

You might be interested in

Establish for which constants c the following function is a density.

Valentin [98]

By "density" I assume you mean "probability density function". For this to be the case for $f(x)$ , we require

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=1$

Since

$f(x)=\begin{cases}cx^{1/2}&\text{for }0$

you have

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2cx^{1/2}\,\mathrm dx=\dfrac{2c}3x^{3/2}\bigg|_{x=0}^{x=2}=\dfrac{2^{5/2}c}3=1$

which means

$c=\dfrac3{2^{5/2}}=\dfrac3{4\sqrt2}$

7 0

3 years ago

An adult blue whale can eat about 40 million Krill a day write this number in a scientific notation

BigorU [14]

4x10^7 The number of zeros the given number has would be the exponent

7 0

3 years ago

Read 2 more answers

the actual length of a rectangular platform used for assembeling robots is 6 feet. in amal's drawing, the platform measures 1.2

saw5 [17]

Answer:

Actual width = 5 feet.

Step-by-step explanation:

The ratio of 1.2 to 1 equals the ratio of length to width.

1.2 / 1 = 6 / w where w is the actual width.

1.2w = 6

w = 6/1.2

w = 5.

3 0

3 years ago

The polynomial of degree 5, P ( x ) has leading coefficient a=1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of

ser-zykov [4K]

Answer:

$p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}$ , for $r_{1} = 0$

Step-by-step explanation:

The general form of quintic-order polynomial is:

$p_{5}(t) = a\cdot x^{5} + b\cdot x^{4} + c\cdot x^{3} + d\cdot x^{2} + e \cdot x + f$

According to the statement of the problem, the polynomial has the following roots:

$p_{5} (t) = (x - r_{1})\cdot (x-3)^{2}\cdot x^{2} \cdot (x+1)$

Then, some algebraic handling is done to expand the polynomial:

$p_{5} (t) = (x - r_{1}) \cdot (x^{3}-6\cdot x^{2}+9\cdot x) \cdot (x+1)\\p_{5} (t) = (x - r_{1}) \cdot (x^{4}-5\cdot x^{3} + 3 \cdot x^{2} + 9 \cdot x)$

$p_{5} (t) = x^{5} - (5+r_{1})\cdot x^{4} + (3 + 5\cdot r_{1})\cdot x^{3} +(9-3\cdot r_{1})\cdot x^{2} - 9 \cdot r_{1}\cdot x$

If $r_{1} = 0$ , then:

$p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}$

5 0

3 years ago

Best answer gets brainliest

patriot [66]

Question below!

what do you need in order to construct in order to find a point/location that has the same distance away from 2 or more other points

Answer:

Hi, There! Mika-Chan I'm here to help! :)

To find the distance from a point to a line, first find the perpendicular line passing through the point. Then using the Pythagorean theorem, find the distance from the original point to the point of intersection between the two lines.

Hope this Helps!

3 0

3 years ago