Answer:
1. D
2. D
3. H
4. B
5. B
Step-by-step explanation:
Answer:
4/5 is greater than 3/8, so this sign: >
Answer:
C. 2.
Step-by-step explanation:
The graph descends from the left so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below. The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.
f(x) = a(x + 20)(x - 6.5)(x - 13) where a is a negative constant.
(This is only an approximation).
By the Remainder theorem, when the expression is divided by (x + 10):
f(-10) = -20 so we have
-20 = a (-10 + 20)(-10-6.5)(-10 - 13)
(10)(-16.5)(-23)a = -20
a = -20 / (10)(-16.5)(-23)
a = -0.0053
When the equation is divided by (x - 10) then f(10) is the remainder so substituting we have as the remainder:
-0.0053(10+20)(10-6.5)(10 -13)
-0.0053 * 30 * 3.5 * -3
= 1.7 approximately.
Looks like the answer is 2.
Answer: a=1
Step-by-step explanation:
-8(a-4)+3a=2(4a+9)+1 given
-8a+32+3a=8a+18+1 distribute
+8a +8a
32+3a=16a+18+1 subtraction property of equality
-3a -3a
32=13a+18+1 addition property of equality
32=13a+19 add like terms
-19 -19
13=13a addition property of equality
÷13 ÷13
1=a multiplication property of equality
a=1 is the answer. Hope this helps!
