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melomori [17]
4 years ago
14

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. If (x + 2) is a fac

tor of x3 − 6x2 + kx + 10, k = .
Mathematics
1 answer:
vitfil [10]4 years ago
4 0
If x+2 is a factor of x^3+6x^2+kx+10, then if we replace x by -2 in the polynomial x^3-6x^2+kx+10, we must get zero:
x=-2→(-2)^3-6(-2)^2+k(-2)+10=0→
-8-6(4)-2k+10=0→
-8-24-2k+10=0
-2k-22=0
Solving for k. Adding 22 both sides of the equation:
-2k-22+22=0+22
-2k=22
Dividing both sides of the equation by -2:
-2k/(-2)=22/(-2)
k=-11

Answer: k = - 11
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Margaret is planning a wedding reception. She wants to spend less than her budget of $5,748, and Margaret has already spent $2,4
noname [10]

Answer:

She can invite 109 guests and be right on top of budget. If she wants to spend less than her budget though she can only invite 108 people.

Step-by-step explanation:

First you have to subtract 5,748 - 2,478 which is 3270. Next you have to divide 3270 by 30 because each person costs 30 dollars. 3270 divided by 30 is 109.

I hope this helps! Please mark me brainliest if I am correct! Have a nice day!

6 0
3 years ago
Given the equation (x+2)(x+3)(x+5)=(x+2)(x-3)(x+5), what can we conclude about the solutions
Lapatulllka [165]
Hello,

(x+2)(x+3)(x+5)=(x+2)(x-3)(x+5)
==>(x+2)(x+5)(x+3-(x-3))=0
==>(x+2)(x+5)*6=0

==>x=-2 or x=-5

8 0
4 years ago
The gas tank of a 2015 Nissan Sentra holds 13.2 gallons. How many pounds of carbon dioxide are produced by burning an entire tan
OLEGan [10]
<span>13.2 gallons=49.9 liters
the gas is the octan C8H18
the combustion of Octan equation is 
C8H18    +   25/2 O2-------------------> 8CO2         +  9 H2O
1mole                                                    8 moles
n(C8H18)=a                                              n(CO2)=b
so 
1 mole/a  = 8moles /b
and b= 8molesx a

we must find the value of a, molar volume of a gas is  v= 22.4l/mol=V/a, so a=V/v= 49.9/22.4= 2.23 moles

and b=8 x a=8x 2.23=17.85 moles
M(CO2)=m(CO2)/n(CO2)====> m=n x M=17.85 * (12+2x16)=  785.4 g

m(CO2)=785.4g = 1.57 pound</span>
5 0
3 years ago
12x+3=6 4x+1=2<br> what is happening in this step of the equation solving process?
cluponka [151]

Step-by-step explanation:

12x=6-3

12x=3

12x/12=3/12

x=1/4

4x+1=2

4x=2-1

4x=1

4x/4=14

x=1/4

I you have great day

7 0
3 years ago
What is the value of 19 square root two correct to two significant number ​
vlabodo [156]

Answer:

27

Step-by-step explanation:

19√2 = 26.8701

2 sig figs is the ones place and one decimal place after (tenths place) in this problem.

Only way to find your answer is to plug 19√2 into your calc.

4 0
3 years ago
Read 2 more answers
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