Answer:
B
Step-by-step explanation:
-5[ (x³+1)(x+4) ] = -5[ x³*(x+4) + 1*(x+4) ]
= -5 [ x³*x + x³*4 + 1*x + 1*4 ]
= -5 [ x⁴ + 4x³ + x + 4]
= -5*x⁴ + (-5)*4x³ + (-5)*x + (-5) * 4
= -5x⁴ - 20x³ - 5x - 20
Answer:
see explanation
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = πd ( d is the diameter )
(4)
Here d = 18, thus
C = 18π in
(5)
Here C = 50π, thus
πd = 50π ( divide both sides by π )
d = 50 in
The radius r is one half of the diameter , thus
r = 50 ÷ 2 = 25 in
<span>Since the triangles are right triangles, the hypotenuse can be calculated using the Pythagorean theorem:
5²+12²=x²
x²=25+144, x²=169⇒x=√169
x=13
The hypotenuse of a smaller triangle is 13 units.</span>
Brand A has a unit price of .37 cents
brand B has a unit price of .38 cents
so you get 2 more pencils for .1 cent each, so brand B is the better deal
Answer: OPTION C
Step-by-step explanation:
2. The parent function of a linear function is the simplest form of a linear function and this is:
f(x)=x. Because from this function we can make transformations that allow us to obtain the function f(x) = -2x + 2
3. If you take the parent function and make f(x)-1, then you have:
f(x)-1=x-1 (The function is shifted down 1 unit on the y-axis).
4. Then you make -2f(x), as following:
y=-2(f(x)-1)=-2x+2 (The function is reflected in the y-axis).
5. That is how you obtain the final function.
