Answer:
C. x=2
Step-by-step explanation:
The axis of symmetry divides the parabola into two equal parts. FRom point x=-4 to x=8, the difference is 12 units and the centre is6 units on each side. Using a number line, the axis of symmetry is at point x=2
9514 1404 393
Answer:
A. 18
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
Here, the parallel bases have lengths 3 and 9. The height is 3, so the area is ...
A = 1/2(3 +9)(3) = 18
The area of the trapezoid is 18 square units.
Answer: the difference in yearly median income for a female vs male at a masters degree level is
$15,642.90/year
Step-by-step explanation:
there are roughly 52.143 week in a year.
the median weekly income for a female with a masters degree is : $901.00
the median weekly income for a male with a masters degree is :
$1,201
so if you multiply $901 x 52.143 you get :
$46,980.84, which is what a female makes in a year with a md
and if you multiply $1,201 x 52.143 you get :
$62,623.74, which is what a male makes in a year with a md
subtract $62,623.74 - $46,980.84 you get :
$15,642.90 / year
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Practice throws(X) : 4 10 6 15 0 7 11
Free throws(Y) : 8 23 9 34 5 11 27
Using the online linear regression calculator :
ŷ = 2.1559X + 0.3912
2.1559 = slope
0.3912 = intercept
X = independent variable ; y = dependent variable
The Coefficient of determination (R²) = 0.9506² = 0.9036
Quadratic model : y = 0.0961x²+0.7138x+3.8031
Coefficient of determination(R²) = 0.9739² = 0.9485
Exponential model:
a*b^x
Coefficient of determination (R²) = 0.9753² = 0.9512
The exponential model fits the data best.
4x + 5y = -13
2(4x + 5y) = 2(-13)
8x + 10y = -26 (equation 1)
5x - 2y = -8
5(5x - 2y) = 5(-8)
25x - 10y = -40 (equation 2)
equation 1 + equation 2,
(8x + 10y) + (25x - 10y) = (-26) + (-40)
8x + 10y + 25x - 10y = -26 + -40
33x = -66
x = -2
substitute x = -2 into equation 1,
8x + 10y = -26
8(-2) + 10y = -26
-16 + 10y = -26
10y = -10
y = -1
The values of x and y are -2 and -1 respectively.
