Remember you can do anything to an equation as long as you do it to both sides
expand by foiling or distributing
4x²-19x-5=-43x-41
add 43x to both sides and add 41 to both sides
4x²+24x+36=0
factor
facotr out of 4
4(x²+6x+9)=0
factor inside
what 2 numbers multiply to get 9 and add to get 6?
3 and 3
4(x+3)(x+3)=0
set to 0
x+3=0
x=-3
x=-3 is answer
Answer:
The answers are
A.
B.
E.
Step-by-step explanation:
Answer:
1: 18
2: P
Step-by-step explanation:
1: each number in the second row is the square of the number in the first row but it's kinda backwards! for example 4×4=16 writing it backwards would be 61.
now: 9×9=81 and the backwards would be 18
2:the code for each letter is the number of its ends! like: A has 2 ends. S has 2 Ends. O doesn't have any ends.
now: the only letter left with 1 end is P
<h2><u>
Answer with explanation</u>
:</h2>
Let 
be the average life of light bulbs.
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since 
is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Formula for Test statistic : 
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For 
, we have
Using z-value table , Critical one-tailed test value for 0.06 significance level :
Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .
[We reject the null hypothesis when critical value is less than the test statistic value .]
Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life
You can make 18 fruit baskets with 8 apples, 6 oranges, and 5 pears in each
