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3 years ago

Function g is a transformation of the parent quadratic function f. Which statements are true about this function?

Mathematics

1 answer:

sergey [27]3 years ago

4 0

Answer: Function g reflected function f across the x-axis.

For function g, as x approaches negative infinity, g(x) approaches negative infinity.

Function f is symmetrical about the point (4,6).

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Which of the following is a solution to the quadratic equation x2-3x-54=0

BaLLatris [955]

Answer:

Step-by-step explanation:

x² - 3x - 54 = 0

x² - 9x + 6x - 54 = 0

x(x - 9) + 6(x - 9) = 0

(x - 9)(x + 6) = 0

x = -6,9

7 0

3 years ago

Read 2 more answers

The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) 5x/x^2

Olegator [25]

Given :

The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by $K(x) = \dfrac{5x}{x^2+9}$ .

To Find :

Find the time at which the concentration is a maximum. b. Find the maximum concentration.

Solution :

For maximum value of x, K'(x) = 0.

$K'(x) = \dfrac{5(x^2+9)- 5x(2x)}{(x^2+9)^2}=0\\\\5x^2+45-10x^2=0\\\\5x^2 = 45\\\\x = \pm 3$

Since, time cannot be negative, so ignoring x = -3 .

Putting value of x = 3, we get, K(3) = 15/( 9 + 9) = 5/6

Therefore, maximum value drug in bloodstream is 5/6 at time x = 3 units.

Hence, this is the required solution.

5 0

3 years ago

WILL MARK BRAINLIEST FOR BEST ANSWER! SERIOUS ANSWERS ONLY!

Veronika [31]

Answer:

$ 1850

Step-by-step explanation:

As it is simple interest, the interest will be same each year.

Interest = 2312.50 - 2081.25 = $ 231.25

The amount borrowed = 2081.25 - 231.25 = $ 1850

3 0

3 years ago

Find the distance between each pair of points<br> 8) (2, 6), (5, 10)<br> 9) (-3,-10), (-3,5)

Lapatulllka [165]

Answer:

8) answer=5 9)answer=15

Step-by-step explanation:

all you have to do is replace in the following formula

$\sqrt{(x2-x1)^{2}+ (y2-y1)^{2}} =d$

Where

X1: is the first number of the first point

Y1: is the second number of the first point

X2: is the first number of the second point

Y2: is the second number of the second point

you replace in the formula and solve

I attach solution

4 0

3 years ago

URGENT MATH HELP BRAINLIEST

Lelechka [254]

Answer:

Step-by-step explanation:

a. This is a right triangle with two sides and one angle given.

-We apply Sine Rule to find the angle B:

$\frac{a}{Sin \ A}=\frac{b}{Sin \ B}=\frac{b}{Sin \ C}$

-The sides given are 10and 17 and the right angle 90°

$\frac{17}{Sin \ 90 \textdegree}=\frac{10}{Sin \ m\angle B}\\\\m\angle B=Sin^{-1}\frac{10}{(17/Sin \ 90\textdegree)}\\\\=36.03\textdegree$

Hence the angle B is 36.03°

b.We again use the sine rule to obtain the unknown angle w:

-15 corresponds to 90° and 9 corresponds to w°

$\frac{a}{Sin \ a}=\frac{b}{Sin \ B}\\\\\frac{15}{Sin \ 90\textdegree}=\frac{9}{Sin \ w\textdegree}\\\\\\\\w=Sin^{-1}(\frac{9}{15}), \ \ Sin \ 90\textdegree=1\\\\=36.87\textdegree$

Hence, the measure of w is 36.87°

4 0

3 years ago