Answer:
(-2, -1).
Step-by-step explanation:
y = x² + 4x + 3
Completing the square:
y = (x + 4/2)^2 - (4/2)^2 + 3
y = (x + 2)^2 - 4 + 3
y = (x + 2)^2 - 1.
This is vertex form and the coordinates of the vertex are (-2, -1).
Answer:
add 64 to both sides
Step-by-step explanation:
x = -26.3
Answer:
Step-by-step explanation:
Variance is the sum of squares of all items x from mean. i.e
Variance = 
Being the sum of squares variance can never be negative irrespective of mean being negative.
Std deviation is the square root of variances. This will thus be less than variance if variance >1 other wise std deviation will be bigger than variance.
Hence option d is right.
Number 7 is a. 0.013
number 8 is c.3
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5
Answer:
1: $53750
2: $15975
3: 40
4: 90
5: 51
6a: 20%
6b:204
Step-by-step explanation:
1: to calculate this mulitply 50000*1.075= 53750
2: same deal 15000*1.065=15975
3: We have a ratio of 3:2 and then 60:x because we multiplied the first ratio by 20 to get the 60 in the second we multiply the 2 by 20 as well and get x=40
4: This one is kind of tricky. we know that there are 4 dogs for every 3 cats. We also know that there are 210 animals. This means that 4x+3x=210 solve this and get x=30 you then multiply the ratio 4:3 by 30 and get 120:90
5: 1/5*255=51
5a: 1/5=.2=20%
5b: 255-51=204
