Answer:
a) g(x) = f(x) + 3
So g(x) is a vertical translation of f(x), 3 units upwards
b) g(x) = 3x² - 1 + 3
g(x) = 3x² + 2
The graph has shifted 3 units upwards, so has the vertex.
The vertex of f is (0,-1)
Whereas the vertex of g is (0,2)
-1 + 3 = 2
Answer:
See below.
Step-by-step explanation:
(5a^2 + 4ab – 3b^2) – (–5ab + 4b^2 + 3a^2)
5a^2+4ab-3b^2+5ab-4b^2-3a^2
(5a^2-3a^2)+(4ab+5ab)+(-4b^2-3b^2)
2a^2+9ab-7b^2
-hope it helps
<u>Answer with explanation:</u>
As per given , we have
A sample of 50 gribbles finds an average length of 3.1 mm with a standard deviation of 0.72.
i.e. n= 50
Degree of freedom = n-1=49
The point estimate of the population mean is equals to the sample mean.
i.e. The best estimate for the length of gribbles= 3.1 mm
Also, population standard deviation is unknown , then the confidence interval would be :
For df= 49 and significance level of 0.05 , the t- value (using t-distribution table) would be :
Now, Margin of error :
95% confidence interval :
Answer:
-5/3
Step-by-step explanation:
-2 to 1 =3 x=3
4 to -1=5 y=-5
y/x slope=-5/3 or -1 2/3
Answer:
Step-by-step explanation:
=>
To make it a percentage, we need to multiply and divide it by 100
=>
=>
To make the denominator 100, we'll divide the numerator and denominator by 7
=>
=>
Percentage means out of hundred, so it becomes
=> 42.9 %