Answer:
f(-9) = -263
Step-by-step explanation:
Find f(-9) by plugging in -9 into the function, and simplifying it:
f(x) = -3x² - 20
f(-9) = -3(-9)² - 20
f(-9) = -3(81) - 20
f(-9) = -243 - 20
f(-9) = -263
So, the answer is f(-9) = -263
Answer:
Parent Function: g(x)=x^3
Horizontal Shift: Left 3 Units
Vertical Shift: Up 1 Units
Reflection about the x-axis: None
Reflection about the y-axis: Reflected
Vertical Compression or Stretch: Stretched
Step-by-step explanation:
Answer:
4 + x = 16
Step-by-step explanation:
In general, if we have an equation that has just one variable, such as x, then "solving the equation" means finding the set of all values that can be substituted for the one variable to produce a valid equation.
Isolate "x" on one side of the algebraic equation by adding the negative number that appears on the same side of the equation as the "x." For example, in the equation "x - 5 = 12", rewrite the equation as "x = 12 + 5" and solve for "x."
Answer:
v=-48
Step-by-step explanation:
Answer:
x = 90, y = 43
Step-by-step explanation:
By the SAS theorem (as you can tell by the picture) angles B and C are similar, which means they are both 47 degrees.
Since the triangles are similar (SAS theorem) then angle x must be equal to 90 degrees, because they are on a straight line both angles would need to add up to 180 degrees.
Now that you have two angles out of three, you can solve for the last angle by setting up this equation:
B + D + A = 180
47 + 90 + A = 180
Add 47 and 90 together.
137 + A = 180
Subtract 137 from both sides.
A = 43
x = D and y = A, therefore x = 90 and y = 43.
