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nataly862011 [7]
1 year ago
8

-

Mathematics
1 answer:
Alchen [17]1 year ago
4 0

Answer:

THE AXIS OF SYMMETRY IS ALWAYS THE X VALUE OF THE VERTEX

Step-by-step explanation:

The vertex is where the graph performs the u shape bend.

The vertex is always -b/2a. so in problem one, it would be 6/2(3) which is 1. That is the x value so the axis of symmetry would be x=1.

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How many terms are in a^2-ab+8b+b^2-1
DanielleElmas [232]
Remember that the terms of a polynomial are the parts of the polynomial separating by addition and subtraction; in other words, the parts separated by (+) and (-) signs. Knowing this, we can separate the terms of our polynomial:
a^2-ab+8b+b^2-1
- First term: a^2
- Second term: -ab
- Third term: 8b
- Fourth term: b^2
- Fifth term: -1

We can conclude that there are 5 terms in the polynomial a^2-ab+8b+b^2-1.
8 0
2 years ago
Solve the equation. Check your answer. If necessary, round to 3 decimal places
Lana71 [14]

Answer:

x ≈ ±20.086/√(t - 1)  

Step-by-step explanation:

ln(t - 1) + ln(x²) = 6

Recall that lnu + lnv = ln(uv). Then  

ln(t - 1) + ln(x²) = ln[(t-1)x²] = 6

Take the natural antilogarithm of each side

(t - 1)x² = e⁶

Divide each side by t - 1

x² = e⁶/(t-1)

Take the square root of each side

x = ±e³/√(t - 1)

x ≈ ±20.086/√(t - 1)

6 0
2 years ago
I need help solving these problems
cestrela7 [59]

Answer:

question one:

x = 6.018150231520483

adjacent angle = 7.986355100472928

Step-by-step explanation:

i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations

it automaticly does sin, cos, and tan for you.

4 0
3 years ago
Suppose the CPI has a value of 225.3 exactly one year ago, and the current value of this index is 231.16, a rise of 5.86 points.
sertanlavr [38]

Answer:

2.6%

Step-by-step explanation:

Given the current CPI = 231.56

Previous CPI (CPI a year ago) = 225.3

Rate of inflation over the past year = current CPI - previous CPI/previous CPI × 100%

Rate of inflation = 231.56-225.3/225.3 × 100%

5.86/225.3× 100%

= 2.6%

Rate of inflation over the past year will be 2.6%

4 0
3 years ago
A used car dealer has 30 cars and 10 of them are lemons (i.e.~ mechanically faulty used cars), and you don't know which is which
Triss [41]

Answer: Hence, the probability that he will get at least one lemon is 0.70.

Step-by-step explanation:

Since we have given that

Number of cars = 30

Number of lemon cars = 10

Number of other than lemon cars = 30-10 = 20

According to question, he bought 3 cars,

we need to find the probability that you will get at least one lemon.

So, P(X≤1)=1-P(X=0)=1-P(no lemon)

Here, P(no lemon ) is given by

\dfrac{20}{30}\times \dfrac{20}{30}\times \dfrac{20}{30}=(\dfrac{20}{30})^3

so, it becomes,

P(X\geq 1)=1-(\dfrac{20}{30})^3=1-(0.67)^3=0.70

Hence, the probability that he will get at least one lemon is 0.70.

5 0
2 years ago
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