Answer:
3≤ x≤ 4
Step-by-step explanation:
-1≤ 3x-10≤ 2
Add 10 to each side
-1+10≤ 3x-10+10≤ 2+10
9≤ 3x≤ 12
Divide each side by 3
9/3≤ 3x/3≤ 12/3
3≤ x≤ 4
Answer:
3 ≤ x ≤ 4
Step-by-step explanation:
Step 1: Add 10 to all parts/sections.
Step 2: Divide all parts/sections by 3.
Therefore, the answer is 3 ≤ x ≤ 4.
Answer:
13 , 24 , 14
Step-by-step explanation:
Note that technically there are two patterns. Each one adds 1.
The first pattern starts with 11. The third number is 12, which means that the fifth number will be 13, and the 7th number will be 14.
The second pattern starts with 22. The 4th number is 23, which means the sixth number will be 24.
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Easy, it's going by adding 11's 11+11=22 than it subtracts by 10=12 and it keeps repeating until it's done.
The required set of ordered pairs are (0, 1), (1, 3), (2, 9), (3, 27). The correct option is (D).
An exponential function can be represented as y = aˣ. When x = 0, y = a⁰ = 1. The range of an exponential function is from zero to infinity for a > 0.
It is clear from the given options that, only options (B) and (D) satisfies the general expression y = aˣ at x = 0.
Now, both these options can be examined one by one as follows,
Option (B),
The ordered pairs are given as (0, 1), (1, 2), (2, 5), (3, 10).
Substitute the values in the general expression y = aˣ, first two pair are satisfied for a = 2 but the remaining two are not.
Option (D),
The ordered pairs are given as (0, 1), (1, 3), (2, 9), (3, 27).
Substitute the values in the general expression y = aˣ, all the pairs are satisfied for a = 3.
Thus, the correct option is found.
Hence, the set of ordered pairs which could be generated by an exponential function are (0, 1), (1, 3), (2, 9), (3, 27).
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Answer:
C is the answer
Step-by-step explanation:
If you graph them on a line the outcome will be a straight line making it functional and a proportion
Please answer and then explain.
Answer:
10 units
Step-by-step explanation:
In this equation the parenthesis act as a multiplier, so you take w(2w + 2) = 40.
the variable w represents the number 1, so you multiply the numbers within the parenthesis.
w x 2w = 2w
w x 2 = 2w
so now you have 2w + 2w = 40
add the w's for 4w = 40
Now you need to get rid of the number next to the W.
divide the four from the W and divide the 40 as well
4w/4= w
40/4 = 10
W=10
Answer:
-1/2 and -3/4
Step-by-step explanation:
rational numbers are numbers that can be expressed in a fraction