Answer:
B. negative infinity < x < positive infinity
Step-by-step explanation:
When a question asks for the domain of a function, it is asking for all possible x-values, so we can rule out choice A since there are clearly x-values greater than 1. This graph shows arrows pointing left and downward, indicating that the graph continues past what we can see. This tells us that even though the x-values look like they end at -10 and 2, they continue further, so we can also rule out option C and option D. After these eliminations, we are left with choice B, which is a way of writing "All real numbers," and is the domain for <u>all</u> exponential functions, including this one.
lmk if im incorrect about anything, hope this helps :)
Answer:
a and c
Step-by-step explanation:
Answer:
y = -0.6x^2 + 5x + 6
Step-by-step explanation:
First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.
y = mx + b
15.6 = 3m + 6
9.6 = 3m
m = 3.2
y = 3.2x + 6
y = a(x - 0)(x - 3) + 3.2x + 6
y = a(x)(x - 3) + 3.2x + 6
Finally, substitute 10 for x and -4 for y in the equation above to find a.
-4 = a(10)(10 - 3) + 3.2*10 + 6
-4 = a(10)(7) + 32 + 6
-4 = 70a + 38
-42 = 70a
a = -0.6
Simplify to write in standard form.
y = -0.6(x)(x - 3) + 3.2x + 6
y = -0.6x^2 + 5x + 6
Be the event a spinner arrow stopping on green: A
The probability of a spinner arrow stopping on green: P(A)=0.25
Be the event drawing a blue 3 from a pack of cards: B
The propbability of drawing a blue 3 from a pack of cards: P(B)=0.02
The two events are independent
Probability of a spinner arrow stopping on a green and drawing a blue 3 from the pack of cards: P (A and B)=P(A <span>∩ B)=?
Since the events are independent:
</span>P(A ∩ B)=P(A)*P(B)
P(A ∩ B)=(0.25)*(0.02)
P(A ∩ B)=0.005
Answer: <span>The approximate probability of a spinner arrow stopping on a green and drawing a blue 3 from the pack of cards is 0.005</span>
Answer:
18a-12b+6c
Step-by-step explanation:
We have got 6 common in this factor 6(3a-2b+c)
So,in order to expand it we just need to multiply 6 with the everything in the bracket..
6×3a=18a
6×2b=12b
6×c=6c
If we arrange the factor after multiplying,then it stands like this 18a-12b+6c...
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