Answer: -1/343
Step-by-step explanation:
-7(-7)^-4
First, re-write as positive exponents:
-7(-1/7^4)
Next, simplify:
-1/7^3 (you can simplify using exponent rules)
Simplify 7^3 :
7(7)(7)
49(7)
343.
Insert to original expression:
-1/343.
4 x ? = 252
Do the opposite of multiplication.
252 ÷ 4 = ?
? = 63.
Hope this Helps! :)
9514 1404 393
Answer:
(c) P(x) = x^4 +3x^3 -10x^2 -30x
Step-by-step explanation:
If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.
Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...
P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))
P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)
P(x) = x^4 +3x^3 -10x^2 -10x
Answer:
e=3 d=2
e=7 d=3
e=11 d=4
e=15 d=5
Step-by-step explanation:
all you have to do is solve for the d by substituting the value of e into the equation.
Answer:
C, 39.3 in²
Step-by-step explanation:
Lets first find the area of the rectangle part of the house.
To find the area of a rectangle its base × height.
So its 6×4=24 in².
Now lets find the area of the top triangle.
Area for a triangle is (base × height)/2.
The height is 3 inches, because its 7-4. While the base is 6 inches.
(6×3)/2=9 in².
To find the area of the half circle the formula, (piR²)/2.
The radius of the circle is 2 because its half of the diamter which is 4.
(pi2²)/2=6.283 in².
Now we just need to add up the area of every part,
24+9+6.283=39.283in²
