Answer:
remainder = 21
Step-by-step explanation:
If f(x) is divided by (x - h) then the remainder is f(h)
Here f(x) is divided by (x - 2) with h = 2 , then remainder is
f(2) = 4(2) + 3(2)² + 1 = 8 + 3(4) + 1 = 8 + 12 + 1 = 21
The x-values that will make the output values of the floor and ceiling functions equal are;
Option A: -8
Option D: 0
The complete question is;
At which x-values are the output values of the floor function g(x) = ⌊x⌋ and the ceiling function h(x) = ⌈x⌉ equal? Check all that apply.
A) –8
B) –5.2
C) –1.7
D) 0
E) 2.4
When it comes to floor functions and ceiling functions, they are always equal to each other when the x value is an integer.
Now, looking at the giving options the only integers we have are -8 and 0.
Thus, the only values in the options that would make the output values of the floor function and ceiling function equal are -8 and 0.
Read more on floor function and ceiling function at; brainly.com/question/7321190
Answer:
The correct answer is 30 miles.
Step-by-step explanation:
Porter is driving due east to point, say B, from his initial point, say A, for about 20 miles. Therefore AB = 20 miles.
He is driving due south to point, say C, from B, for about 23 miles. Therefore BC = 23 miles.
Therefore the distance between A and C is given by the Pythagoras theorem,
⇒ AC = = = 30.479 miles ≈ 30 miles.
Therefore Porter is 30 miles away from his initial point, to the nearest hundredth of a mile.
Answer:
a+c =11
a +3c = 19
a =7 and c = 4
Step-by-step explanation:
Let a = price of one adult
c = price of one child
We know one adult and one child = 11
a+c =11
Mrs smith and 3 children spent 19
a +3c = 19
We have 2 equations and 2 unknowns
a+c =11
a +3c = 19
Multiply the first equation by -1 so we can eliminate a
-a-c=-11
a+3c=19
----------------
2c = 8
Divide by 2
2c/2 = 8/2
c=4
Each child equals 4 dollars
Now we need to find a
a + c= 11
a+4 = 11
Subtract 4 from each side
a+4-4 = 11-4
a = 7
The adult is 7
Answer:
1. B.
2. C.
Step-by-step explanation:
1. It only has one cell so it needs to rely on other organisms in order for it to survive
2. Chloroplasts are only found in plants you can remember it by "Chloroplants"