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Kryger [21]
3 years ago
7

3/8 (x-1) (x-9) graph the function

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Answer:

  see below

Step-by-step explanation:

The factors tell you the x-intercepts are at x=1 and x=9, as these are the x-values that make the factors zero.

The y-intercept is ...

  (3/8)(0 -1)(0 -9) = 27/8 = 3 3/8

The vertex is at the point halfway between the x-intercepts, at x = (1+9)/2 = 5.

  (3/8)(5 -1)(5 -9) = 3(-16)/8 = -6

The vertex is (5, -6)

So, we have points on the curve (0, 3 3/8), (1, 0), (5, -6), (9, 0), (10, 3 3/8)*. The graph is a smooth parabolic curve through these points.

___

* (10, 3 3/8) is symmetrically located about x=5 from the y-intercept.

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Answer:

Higher

Step-by-step explanation:

1) In Macroeconomics, The core inflation rate does not include food and energy since these categories are way more volatile, due to oil and season matters. And statistically this measure looks for more robust items, to compose the core inflation in a more accurate way. The Consumer Prices Index (CPI) is the metric used for the cost of living.

Another Index, used by the Fed is the PCE, for the goods and services consumed by the US residents.

So, the Core inflation is based on CPI and PCE, <em>Personal Consumption Expenditure</em> therefore the inflation rate for the past year was higher than 4%, for it is not solely based on CPI index.

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3 years ago
What is the argument of -5\sqrt{3}+ 5i?
Shtirlitz [24]

Answer:

150 degrees

Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length 5\sqrt{3}. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

So the opposite side of the complementary angle is 5.

The adjacent side of the complementary angle is 5\sqrt{3}.

\tan(\theta)=\frac{5}{5\sqrt{3}}

\tan(\theta)=\frac{1}{\sqrt{3}}

\theta=\tan^{-1}(\frac{1}{\sqrt{3}})

\theta=30

So 90-30=60.

The answer therefore 60+90=150.

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3 years ago
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ivolga24 [154]

Answer: 7/21 for blue and 6/21 for yellow. so 7/14

Step-by-step explanation:

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What's 63,889 rounded to the nearest hundred
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63,889 rounded to the nearest hundred is 63,900
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