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rosijanka [135]
3 years ago
10

What is the result when 8x^3+6x^2+15x+7 divides by 2x + 1

Mathematics
1 answer:
sveticcg [70]3 years ago
3 0

Answer:

Step-by-step explanation:

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What is the coeffieent of (x^4)(y^4) in the expansion of (x+y)^8
kap26 [50]
ANSWER

The coefficient is 70.

EXPLANATION

The given binomial expression is

(x+y)^8

The specific term of a binomial expansion can be determined using the formula,

T_{r+1}= nC_ra^{n-r}b^r
where

n=8,r=4,a=x,b=y

We substitute these values into the formula to get,

T_{4+1}= 8C_4x^{8-4}y^4

We simplify to get,

T_{5}= 70x^{4}y^4

Hence the coefficient is 70.
4 0
3 years ago
The legs of a right triangle are 2 and 3. Find the exact value (no decimals) of the hypotenuse.
AVprozaik [17]
A^2 +b^2 =c^2
2^2 + 3^2
4+9=13
The hypotenuse is equal to the square root of 13
5 0
3 years ago
A deep sea diving bell is being lowered at a constant rate. After 10 ​minutes, the bell is at a depth of 600 ft. After 40 minute
Degger [83]
<h2>Average rate of lowering per​ minute = 36.67 ft/min</h2>

Step-by-step explanation:

After 10 ​minutes, the bell is at a depth of 600 ft

After 10 minutes

                   Depth of bell = 600 ft

After 40 minutes the bell is at a depth of 1,700 ft.

After 40 minutes

                   Depth of bell = 1700 ft

Time gap = 40 - 10 = 30 minutes

Depth fallen = 1700 - 600 = 1100 ft

We have

           Depth fallen = Average rate of lowering per​ minute x Time gap

           1100 = Average rate of lowering per​ minute x 30

           Average rate of lowering per​ minute = 36.67 ft/min

7 0
3 years ago
Write the slope intercept form of the equation through the given point with the given slope.
Sholpan [36]

Answer:

y = 3x - 4

Step-by-step explanation:

With the slope and a point, I can make an incomplete slope-intercept equation and solve for the y-intercept.

y=3x+b\\\\2=3(2)+b\\\\2=6+b\\\\2-6=6-6+b\\\\-4=b

The equation is:

y=3x-4

Hope this helps!

6 0
3 years ago
A publisher requires 2⁄3 of a page of advertisements for every 5 pages in a magazine. If a magazine has 98 pages, to the nearest
rjkz [21]

Let x be the number of pages of advertisements.

Write a proportion from the table:

\dfrac{2}{3} of a page of advertisment - 5 pages in a magazine

x pages of advertisment - 98 pages in a magazine,

then

\dfrac{\dfrac{2}{3}}{x}=\dfrac{5}{98}.

Find x:

x=\dfrac{\dfrac{2}{3}\cdot 98}{5}=\dfrac{196}{15}=13\dfrac{1}{13}.

Answer: 13 whole pages and \dfrac{1}{13} of 14th page are advertisments, so 14 pages contain advertisments.

3 0
3 years ago
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