Answer:
Option C.
Step-by-step explanation:
Equation of the parent function graphed in the figure is,
G(x) = x²
By reflecting the parent function over the x-axis,
G'(x) = -x²
By shifting G'(x) by 2 units down over the y-axis,
f(x) = -x² - 2
Therefore, transformed form of the parent function will be
f(x) = -x² - 2
Therefore, Option C will be the answer.
Answer:
Step-by-step explanation:
From the given information, it is clear that the shape of ant form is rectangular prism.
Let us write formula for volume of rectangular prism (ant form)
V = l x w x h
Use the formula to write an equation.
Plug V = 375, w = 2.5 and l = 15
375 = 15 x 2.5 x h
375 = 37.5 x h
Divide both sides of the equation by 37.5
375/37.5 = (37.5 x h)/37.5
10 = h
Hence, the height of the form is 10 inches.
Answer: 24
Step-by-step explanation:
First count it all right 6 x 6 = 36
Then the squares inside are 4 x 3 = 12
36 - 12 = 24
I beilive that is your answer.
Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
No, there are lots of quadrilaterals. <span>Examples of other quadrilaterals
are rhombus, kite, trapezoid, parallelogram etc</span>
