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2 years ago

Identify the function shown in the graph

Mathematics

2 answers:

hram777 [196]2 years ago

3 0

Answer:

Step-by-step explanation:

The line crosses the y-axis at 3, and has a slope of -1/5. You can use the formula y=mx+b where m represents the slope and b is the point at which the line crosses the y-axis.

Illusion [34]2 years ago

3 0

C. y=-1/5x+3 is the answer

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Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64

valentinak56 [21]

Answer: See explanation

Step-by-step explanation:

a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.

Speed = Distance / Time

= 112 / 1 45/60

= 112 / 1 3/4

= 112 × 4/7

= 64 miles per hour.

TRUE

b . If 6 pens cost $7.74, then 7 pens cost $9.03.

Cost of one pen = $7.74/6 = $1.29

Cost of 7 pens = $1.29 × 7 = $9.03

TRUE

c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.

Speed = Distance / Time

Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes

FALSE

d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.

Cost of one can = $38.59 / 17 = $2.27

Cost of 3 cans = $2.27 × 3 = $6.81

TRUE

e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

A dozen = 12

2 dozens = 12 × 2 = 24

Cost of one egg = $8.40 / 24 = 0.35 = 35 cents

FALSE

8 0

3 years ago

What would x equal for the missing side

OverLord2011 [107]

X = 12

18/24 = .75
16 x .75 = 12

5 0

2 years ago

Which statements about the hyperbola are true? Check all that apply. A. There is a focus at (0,−10). B. There is a focus at (0,

hichkok12 [17]

Answer:

A. There is a focus at (0,−10).

Step-by-step explanation:

Assume the hyperbola is like the one below.

The hyperbola is vertical and centred on the y-axis, so its general equation is

$\dfrac{y^{2}}{a^{2}} - \dfrac{x^{2}}{b^{2}} = 1$

The vertices of your parabola are (0,±8) so a = 8.

The covertices are (±6,0), so b = 6.

Calculate c

$\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\8^{2} + 6^{2} & = & c^{2}\\64 + 36 & = & c^{2}\\100 & = & c^{2}\\c & = & \mathbf{10}\\\end{array}$

A. Foci

The foci are at (0, ±c) = (0, ±10)

TRUE. There is a focus at (0,-10).

B. Foci

The foci are at (0,±10).

False. There is no focus at (0,12)

C. and D. Asymptotes

The equations for the asymptotes are

$y = \pm\dfrac{a}{b}x = \pm\dfrac{8}{6}x = \pm\dfrac{4}{3}x$

So, y = ±x are not asymptotes.

False.

E. and F. Directrices

The equations of the directrices are

y = ±a²/c = ±64/10 = ±6.4

y = 6.4 is a directrix.

E is false. x = cannot be a directrix

F is uncertain. Your equation for the directrix is incomplete.

3 0

3 years ago

How does f(x) = 3* change over the interval x = 4 to x = 57

Vilka [71]

f(x) increase by a factor of 3

Explanation:

Given that f(x)= 3* and the interval is x=4 to x=57

Now we put the value for x is 4 to 57 then value of f(x) increase with the multiply of 3.

Because the x is multiplied with 3 i.e., 3*

So f(x) increase by a factor of 3.

If we put x=4, then f(x)= 12 (∵ 3×4=12)

If we put x=5, the f(x)= 15 (∵ 3×5=15)

If we put x=6,the f(x)= 18 (∵ 3×6=18)

similarly., values of x= 7,8,9,...155.

Then,

If we put x=56, the f(x)=168

This process will continue until f(x)=171 for x=57.

6 0

3 years ago

The speedometer in Henry's car is broken. The function y = |x - 8| represents the difference y between the car's actual speed x

Alekssandra [29.7K]

The interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8

<h3>How to describe the translation. </h3>

The function is given as:

y = |x - 8|

The above function is an absolute function.

And the parent function of an absolute function is

y = |x|

When a function is translated right by h units, the new function is y = |x - h|

This means that the translation is a translation to the right by 8 units

See attachment for the graph the function.

<h3>Interpret the function and the translation in terms of the context of the situation.</h3>

The function is given as:

y = |x - 8|

This represents the difference y between the car's actual speed x and the displayed speed.

So, the interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8