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2 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

sdas [7]2 years ago

3 0

The graph described is the graph of a quadratic function.

The x-intercept of the function is at; (8, 0).

<h3>What type of function is described by the graph?</h3>

It follows from the description box of the graph that it begins in the third quadrant, and rises through a series of points in the first quadrant before it exits the first quadrant.

Hence, it follows that the graph is a quadratic function and its x-intercept is at point; (8,0).

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Solve the equation for y. 8x – 9y = 11

Vikentia [17]

8x - 9y = 11 (subtract 8x from each side)

- 9y = -8x + 11 (divide -9 from each side)

$\frac{-9y}{-9} = \frac{-8x+11}{-9}$

y = $\frac{-8}{-9} x - \frac{11}{9}$

D. $y=\frac{8}{9} x - \frac{11}{9}$

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2 years ago

Write ln 2x + 2x ln x -ln 3y as a single logarithm.

andreev551 [17]

Answer: option c.

Step-by-step explanation:

To solve this problem you must keep on mind the properties of logarithms:

$ln(b)-ln(a)=ln(\frac{b}{a})\\\\ln(b)+ln(a)=ln(ba)\\\\a*ln(b)=ln(b)^a$

Therefore, knowing the properties, you can write the expression gven in the problem as shown below:

$ln2x+2lnx-ln3y=ln2x+lnx^2-ln3y\\\\=ln(2x)(x^2)-ln3y\\\\=ln(\frac{2x^3}{3y})$

Therefore, the answer is the option c.

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3 years ago

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Chris and John are buying the same car, a 2014 Nissan Maxima. Chris is financially responsible, has a great credit score, a 3% i

AleksAgata [21]

Total amount paid by Chris = 4000 + (22500 - 4000)(1 + 0.03)^5 = 4000 + 18500(1.03)^5 = 4000 + 21446.57 = $25446.57

Total amount paid by John = 5000 + (22500 - 5000)(1 + 0.12)^5 = 5000 + 17500(1.12)^5 = 5000 + 30840.98 = $35,840.98

John paid $10,394.41 more than Chris.

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3 years ago