Answer:
a 2 and b -20
Step-by-step explanation:
Answer:
2 sqrt(13)
Step-by-step explanation:
We can find the hypotenuse using the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
4^2 + 6^2 = c^2
16+36 = c^2
52 = c^2
Taking the square root of each side
sqrt (52) = c
sqrt(4*13) = c
2 sqrt(13) = c
Answer:
11
Step-by-step explanation:
When you plug in -2 for x you get -4(-2) +3
8 +3 = 11
F(-2)=11
Hope this helps, have a nice day
Answer:
The two-tailed P value equals 0.2308
By conventional criteria, this difference is considered to be not statistically significant.
Step-by-step explanation:
Given is a random sample of 10 single mothers
the ages are given as
22, 17, 27, 20, 23, 19, 24, 18, 19, and 24 years
H0: Mean = 20
Ha: Mean not equals 20
(two tailed test at 5% significance level)
The hypothetical mean is 20.00
The actual mean is 21.30
The difference between these two values is 1.30
The 95% confidence interval of this difference:
From -0.99 to 3.59
t = 1.2851
df = 9
standard error = 1.012
The two-tailed P value equals 0.2308
By conventional criteria, this difference is considered to be not statistically significant.
Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
