Answer:
*Replace each "x" with the required numbers .
1) g (14) ; Ans;
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2) f (-8) ; Ans;
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3) j (3) ; Ans;
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4) h (4) ; Ans;
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5) f (2.8) ; Ans;
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6) j(-5) ; Ans;
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7) g(3/4); Ans;
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8) [h(6.2)]² ; Ans;
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9) j(2) + g(-3) ; Ans;
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10) h(1) - f(-10) ; Ans;
___________o____o__________
**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .
***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .
<u>Table (1) Ans;</u>
f(4) = <u> –3</u>
f(-2) = <u>– 6</u>
If f(x)= -3 ,then x = <u>4</u>
If f(x) = 1 , then x = <u>3</u>
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<u>Table (2) Ans; </u>
f(4) = <u>–7</u>
f(-2) = <u>1</u>
If f(x)= -3 ,then x = <u>0</u>
If f(x) = 1 , then x = <u>- 2</u>
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<u>Table (3)Ans;</u>
f(4) = <u>7</u>
f(-2) = <u>3</u>
If f(x)= -3 ,then x = <u>6</u>
If f(x) = 1 , then x = <u>0</u>
I hope I helped you^_^
<h3>
Answer: 47</h3>
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Work Shown:
Connect points A and B with a line segment. Through the HL (hypotenuse leg) congruence theorem, you can prove triangle ABC is congruent to triangle ABD. From there, using CPCTC (corresponding parts of congruent triangles are congruent) we know that BC = BD.
In short: tangents from an external point are the same length.
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BC = BD
-2x+85 = 5x-48
85+48 = 5x+2x
133 = 7x
7x = 133
x = 133/7
x = 19
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Use this x value to find the length of BC
BC = -2x+85
BC = -2(19)+85
BC = -38+85
BC = 47
and let's check BD as well. It should also be 47 units long.
BD = 5x-48
BD = 5*19-48
BD = 95-48
BD = 47
This confirms our answer.
Answer:
the probability that a truck drives less than 159 miles in a day = 0.9374
Step-by-step explanation:
Given;
mean of the truck's speed, (m) = 120 miles per day
standard deviation, d = 23 miles per day
If the mileage per day is normally distributed, we use the following conceptual method to determine the probability of less than 159 miles per day;
1 standard deviation above the mean = m + d, = 120 + 23 = 143
2 standard deviation above the mean = m + 2d, = 120 + 46 = 166
159 is below 2 standard deviation above the mean but greater than 1 standard deviation above the mean.
For normal districution, 1 standard deviation above the mean = 84 percentile
Also, 2 standard deviation above the mean = 98 percentile
143 --------> 84%
159 ---------> x
166 --------- 98%
Therefore, the probability that a truck drives less than 159 miles in a day = 0.9374
Answer:
-5.66
Step-by-step explanation:
the 6 is repeating