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2 years ago

The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph?

Mathematics

1 answer:

Zigmanuir [339]2 years ago

5 0

Answer:

y = -f(x - 5)

Step-by-step explanation:

the function of the dotted graph is f(x) shifted (or translated) 5 units to the right and then reflected across the x-axis.

shifting it to the right is happening by reducing every x value by 5 (so that we get for x the functional value of x-5).

and reflecting it across the x-axis simply means to flip the sign. everything that was originally above the x-axis is now with the same distance below the x-axis (and vice versa).

therefore, the new

y = -f(x - 5)

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Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance

alexgriva [62]

Answer:

96.512 °F < x < 591.242 °F

Step-by-step explanation:

We are given;

Melting point = 35.84 °C

Boiling point = 310.69 °C

Now, we are given that formula to convert °C to °F is;

°C = (5/9)°F

Thus if the temperature in Fahrenheit is x, then;

Melting point is; 35.84 °C = (5/9)x°F - "32"

x = ((9 × 35.84)/5) + 32

x = 96.512 °F

Similarly, for Boiling point;

Boiling point is;

310.69 °C = (5/9)x°F - "32"

x = ((9 × 310.69)/5) + 32

x = 591.242 °F

Now, we are told that matter is in its liquid form when it is between melting and boiling point.

Thus, range of x in inequality form is;

96.512 °F < x < 591.242 °F

6 0

3 years ago

Can someone help me with this pls

Oksi-84 [34.3K]

Answer:

x = 1/3 or x = -2/3

Step-by-step explanation:

Let's solve your equation step-by-step.

9x2+3x−2=0

For this equation: a=9, b=3, c=-2

9x2+3x+−2=0

Step 1: Use quadratic formula with a=9, b=3, c=-2.

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\frac{-(3)\pm\sqrt{(3)^2-4(9)(-2)} }{2(9)}$

$x=\frac{-3\pm\sqrt{81} }{18}$

x = 1/3 or x = -2/3

4 0

2 years ago

Read 2 more answers

A converging lens of focal length 5 cm is placed at a distance of 20

lesya [120]

The object should be placed 20/cm from the lens so as to form its real image on the screen

<h3>Mirror equation</h3>

The mirror equation is given according to the expression below;

1/f = 1/u + 1/v

where

f is the focal length

u is the object distance

v is the image distance

Given the following parameters

f = 5cm

v = 20cm

Required

object distance u

Substitute

1/5 = 1/u +1/20

1/u = 1/5-1/20
1/u = 3/20

u = 20/3 cm

Hence the object should be placed 20/cm from the lens so as to form its real image on the screen

Learn more on mirror equation here; brainly.com/question/27924393

#SPJ1

4 0

1 year ago

Plz help super fast

marshall27 [118]

Answer:

E: L is perpendicular to a line with slope $-\frac{3}{2}$ .

Lines are perpendicular if the negative reciprocal of the slope is equal. For example, the reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$ (remember, to get the reciprocal, simply switch the numerator and the denominator).