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4 years ago

Which equation has real zeros corresponding to

Mathematics

2 answers:

andreyandreev [35.5K]4 years ago

8 0

Answer:

Step-by-step explanation:

y = log3(x) – 1

I don't know why but this is the correct answer.

posledela4 years ago

7 0

Answer: A.) y = log3(x) - 1

Step-by-step explanation: On edge, you're welcome !

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A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set

lara [203]

A circle with center $(3,0)$ and radius $5$ has equation

$(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x = 16$

If we substitute $y=2x+k$ in this equation, we have

$x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0$

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

$\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0$

The expression simplifies to

$-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89$

The solutions to the associated equation are

$k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}$

So, the parabola is negative between the two solutions:

$-6-5\sqrt{5}$

8 0

3 years ago

Explain why 1/2 of 2 equals one whole

Darya [45]

1/2 of 2 means you're taking a half of 2. Which 1.

8 0

3 years ago

Suppose that each day a company has fixed costs of 400 dollars and variable costs of 0.8x+1420 dollars per unit, where x is the

Bess [88]

Answer:

Step-by-step explanation:

Given that a company fixed costs are 400 dollars

and variable cost = $0.8x+1420$ per unit and x the no of units produced

Selling price = $1500-0.25x$ per unit

a) Break even units

At break even units selling price = variable cost

$1500-0.25x=0.8x+1420\\1.05x = 80\\x=76.19~76$

Break even units = 76

b) Revenue = Sales - total costs

= $x(1500-0.25x)-(x)(0.8x+1420)-400\\= 1500x-0.25x^2-0.8x^2-1420x-400\\= -1.05x^2+80x-400$

Use derivative test to get max revenue

R'(x) = $-2.10x+80$

R"(X) <0

So maximum when I derivative =0 or when

$x=38.10$

x=38

c) price when x =38 is

$P = 1500-0.25(38)\\=1490.5$

5 0

3 years ago

What is the secant of angle L? <br> A) 15/12<br> B) 13/5<br> C)12/13<br> D)12/5

Gennadij [26K]

Hey there! I'm happy to help!

The secant is the ratio of the hypotenuse to the side adjacent to the angle. However, we do not have the measure of the hypotenuse given to us. This is a right triangle, so we can use the Pythagorean Theorem to find the hypotenuse. Our sides have lengths of 5 and 12.

5²+12²=c²

25+144=c²

c²=169

We square root both sides

c=13

Now, we take our hypotenuse (13) and we put it over the adjacent side to angle L, which is 5.

Therefore, the secant is B) 13/5.

I hope that this helps! Have a wonderful day!

6 0

3 years ago

Please help and explain

Nikitich [7]

9514 1404 393

Answer:

d. f(2) < g(2)

Step-by-step explanation:

The attached table and graph shows how the functions relate for the various x-values of interest. The true statement is ...

f(2) < g(2)

-3 < 0

5 0

3 years ago