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3 years ago

Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = three-quartersx h(x) = one-quarterx

Mathematics

2 answers:

aalyn [17]3 years ago

8 0

Answer:

$\large\boxed{f^{-1}(x)=h(x)=\dfrac{1}{4}x}$

Step-by-step explanation:

$f(x)=4x\to y=4x\\\\\text{exchange}\ x\ \text{to}\ y\to x=4y\\\\\text{solve for}\ y:\\\\4y=x\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x}{4}\\\\y=\dfrac{1}{4}x$

morpeh [17]3 years ago

4 0

Answer: D. h[x]=1/4x

Step-by-step explanation:

f(x) = 4x or y = 4x

Its inverse is obtained by switching the variables and solving for y.

x = 4y

y = (1/4)x

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The black figure is an ellipse, and the black line segment is is major axis. What is the length of the blue line segment?

NeTakaya

Answer:

Step-by-step explanation:

The formula we need to solve this is:

$d_1+d_2=2a$

Where

$d_1$ is the distance from one focus to the vertex

$d_2$ is the second distance from another focus to same vertex

Note: Here, vertex point is the point on top. The common point from which the RED and BLUE line meets the 2 foci

$a$ is half the length of the major axis (which is 9 here since total major axis is given as 18)

Now we can plug into the equation and solve:

$d_1+d_2=2a\\8.5+d_2=2(9)\\8.5+d_2=18\\d_2=18-8.5\\d_2=9.5$

D is the correct answer.

6 0

3 years ago

I have 811 handkerchief in all, and need 25 for one quilt. How many quilts can I make and how many handkerchief will be left ove

Readme [11.4K]

Answer:

32 with 11 handkerchief left over

Step-by-step explanation:

Handkerchief = 811

Quits for 1 handkerchief = 25

Number of quits

= 811 ÷ 25

= 32 Remainder 11

5 0

2 years ago

Read 2 more answers

Find the solutions of the quadratic equation 14x^2+9x+10=014x

Vesnalui [34]

Answer:

Option B. $x=-\frac{9}{28}(+/-)\frac{\sqrt{479}}{28}i$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$14x^{2}+9x+10=0$

$a=14\\b=9\\c=10$

substitute in the formula

$x=\frac{-9(+/-)\sqrt{9^{2}-4(14)(10)}} {2(14)}$

$x=\frac{-9(+/-)\sqrt{-479}} {28}$

Remember that

$i=\sqrt{-1}$

substitute

$x=\frac{-9(+/-)\sqrt{479}i} {28}$

$x=-\frac{9}{28}(+/-)\frac{\sqrt{479}}{28}i$

5 0

3 years ago

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d

zaharov [31]

Answer:

P(61≤ X≤94) = 49.85%

Step-by-step explanation:

From the given information:

The mean of the bell shaped fluorescent light bulb μ = 61

The standard deviation σ = 11

The objective of this question is to determine the approximate percentage of light bulb replacement requests numbering between 61 and 94 i.e P(61≤ X≤94)

Using the empirical (68-95-99.7)rule ;

At 68% , the data lies between μ - σ and μ + σ

i.e

61 - 11 and 61 + 11

50 and 72

At 95%, the data lies between μ - 2σ and μ + 2σ

i.e

61 - 2(11) and 61 + 2(11)

61 - 22 and 61 +22

39 and 83

At 99.7%, the data lies between μ - 3σ and μ + 3σ

i.e

61 - 3(11) and 61 + 3(11)

61 - 33 and 61 + 33

28 and 94

the probability equivalent to 94 is when P(28≤ X≤94) =99.7%

This implies that ,

P(28≤ X≤94) + P(61≤ X≤94) = 99.7%

P(28≤ X≤94) = P(61≤ X≤94) = 99.7 %

This is so because the distribution is symmetric about the mean

P(61≤ X≤94) = 99.7 %/2

P(61≤ X≤94) = 49.85%

5 0

2 years ago

Prove that the two circles shown are similar

andrezito [222]

Zoom factor will be the number to prove they’re the same

3 0

3 years ago