Functions f (solid) and g (dashed) are graphed.



What is the equation of g in terms of f?

A. G(x)=f(x)
B. g(x)=-f(x)
C. g(x)=f(-x)
D. g(x)=-f(-x)

Answer:

3/2

Step-by-step explanation:

Use the KCF method.

Keep the first fraction (3/4)

Change the sign (division to multiplication)

3/4*2/1=6/4 or 3/2

Answer:

[tex]=\frac{3}{8} (Decimal: 0.375)[/tex]

Step-by-step explanation:

=[tex]\frac{3}{4*2}[/tex]

[tex]\frac{3}{8}[/tex]

The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

Given that,

The height of a tennis ball tossed into the air is modeled by,

[tex]\rm h(x) = 40x - 16x^2[/tex]

Where x is elapsed time in seconds.

We have to determine,

During what time interval will the tennis ball be at least 15 feet above the ground?

According to the question,

The height of a tennis ball tossed into the air is modeled by,

[tex]\rm h(x) = 40x - 16x^2[/tex]

Where x is elapsed time in seconds.

Then,

When the tennis ball be at least 15 feet above the ground,

[tex]h(x) = 15[/tex]

Substitute the value of h(x) in the equation,

[tex]\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0[/tex]

Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,

[tex]\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45[/tex]

Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

For more details about Inequality refer to the link given below.

https://brainly.com/question/17177510

Answer:

E no is the correct answer

Answer:

Yes. All real numbers are either rational or irrational.

Step-by-step explanation:

The set of all irrational numbers is commonly defined as the set of all real numbers that are not rational.

Let [tex]\mathbb{R}[/tex] denote the set of all real numbers. Let [tex]\mathbb{Q}[/tex] denote the set of all rational numbers.

For any given real number [tex]x[/tex] ([tex]x \in \mathbb{R}[/tex],) either [tex]x\![/tex] is rational ([tex]x \in \mathbb{Q}[/tex]) or [tex]x\!\![/tex] isn't rational ([tex]\lnot (x \in \mathbb{Q})[/tex], such that [tex]x \not\in \mathbb{Q}[/tex] and thus [tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex].)

Assume that [tex]x[/tex] isn't a rational number. By the definition of rational numbers, since [tex]x\!\![/tex] is a real number but not a rational number ([tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex],) [tex]x\![/tex] would be an irrational number.

Therefore, either [tex]x[/tex] is rational or [tex]x\![/tex] is irrational. Every real number would either be rational or irrational.

Answer:

7 inches by 19 inches

Step-by-step explanation:

We can use a system of equations for this.

x=length

y=width

2x+2y=52 (Perimeter)

xy=133 (Area)

We must find x and y that fit both these equations.

Hope this helps :)

Answer:

a 17, b 10, c 15, d 20

Step-by-step explanation:

a^2+b^2=c^2

64+225 = 289

a = 17

36+64 = 100

b = 10

81+144 = 225

c = 15

256+144 = 20

Hope that helps

Answer:

10080.000

Hope this helps you! Happy holidays

Answer: 15.54 Km

Step-by-step explanation:

740*21 = 15,540 = 15.54 Km

If you could be so kinda as to give me a brainliest, i am trying to get to virtuoso

Answer:

19/50

Step-by-step explanation:

19 males and 50 people are in total

Answer:

19/50

Step-by-step explanation:

number of men=19

total passengers = 19+31=50

ratio of men to total people's = 19/50

Answer:

  a) gallons

  b) gallons

Step-by-step explanation:

1 fluid ounce is about 6 teaspoons or 30 cubic centimeters or 1.8 cubic inches. 2.3×10^4 fluid ounces is less than 1 cubic yard. We suspect the pool is much larger than that, so its volume is probably measured in gallons.

__

Of the units listed, only teaspoons and gallons are units of volume. As we saw in the previous problem, a teaspoon is a pretty small volume in relation to the size of most fish tanks. The appropriate unit of measure would be gallons.

Answer:

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Class 11

>>Physics

>>Units and Measurement

>>Errors in Measurement

>>You measure two quantities ...

Question

Bookmark

You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for

AB

as

Medium

Solution

verified

Verified by Toppr

Correct option is

D

1.4m±0.2m

Here, A=1.0m±0.2m, B=2.0m±0.2m

AB=(1.0m)(2.0m)=2.0m

2

AB

=

2.0m

=1.414m

Rounding off to two significant figures, we get

AB

=1.4m

AB

ΔAB

=

2

1

(

A

ΔA

+

B

ΔB

)=

2

1

(

1.0

0.2

+

2.0

0.2

)=

2

0.3

Δ

AB

=

2

0.3

×

AB

=

2

0.3

×1.414=0.212m

Rounding off to one significant figure, we get

Δ

AB

=0.2m

The correct value for

AB

is 1.4m±0.2m

Answer 2019 /0.0047   /2014/  0.493

Step-by-step explanation:

The percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

A percentage is a portion of a whole that is stated as a number between 0 and 100 as opposed to being expressed as a fraction.

The percentages of everything are 100%, nothing is 0%, 50% of something is 50%, and nothing is 0%.

Given:

In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday.

This is an increase on the average of `8.1` hours per workday in 2014.

So, Percent change =  (Final value - initial value) / initial value x 100

Percent change = 8.5 - 8.1 / 8.1 x 100

Percent change = 4.93%

Thus, the percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

Learn more about the percent change here:

brainly.com/question/809966

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The smallest possible value of x is the value less than 2/3

Given the series [tex]$\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$[/tex]

We need to find the smallest possible value of x as shown:

[tex]\frac{1}{x} > 1\frac{1}{2}\\ \frac{1}{x} > \frac{3}{2}\\[/tex]

Reciprocate both sides

[tex]x < \frac{2}{3}[/tex]

Hence the smallest possible value of x is the value less than 2/3

Learn more on inequality here: https://brainly.com/question/4192645

Answer:x=7

Step-by-step explanation:

Answer:

4 if im right:)

Step-by-step explanation:

Answer:

A percent is a number out of 100, so you'd want to multiply the denominator to get 100. In this case, 25 would have to be multiplied by 4 to get 100. To keep the fractions equal to each other, you have to multiply the numerator by the same thing. 2*4=8. Therefore, your fraction would be 8/100 or 8%

Answer:

y=3x+4 I think I am correct hola amigo señorita a person in my class is called adiola adiola adiola hah

Answer:

Its inconsistent

Step-by-step explanation:

If you are doing 5.11 Unit Test: Systems of Equations - Part 1 from K12, this is your answer

The graphs of the lines do not intersect, so the graphs are parallel and there is no solution. Since there are no solutions, its inconsistent.

If it has at least ONE solution, its consistent.

If it has EXACTLY ONE solution, its consistent in dependable

If it has INFINITE AMOUNT of solutions, its consistent dependable

Answer:

Ivan: 4

Caleb: 4, 4, 4, 4, 4, 4, 4

Step-by-step explanation:

For every 4 Ivan sees, Caleb sees 28. (4 times 7)

Answer:

D: (-6,0)

Step-by-step explanation:

Set f(x) equal to 0 and solve for the values of x:

f(x) = (x+6)(x-3)

0 = (x+6)(x-3)

x+6=0 and x-3=0

x=-6 and x=3

Therefore, the x-intercepts are (-6,0) and (3,0). Because only (-6,0) is an option, then option D is correct.

Answer: (-6, 0)

Step-by-step explanation:

got it right on my test

Answer:

That seems a little hard-

Step-by-step explanation:

Answer:

$220

Step-by-step explanation:

If seven tickets cost 385, then 1 ticket costs one-seventh of that amount, so we divide it by 7 to see how much one ticket costs.

385/7 = 55

One ticket is $55. To find out how much 4 tickets cost, multiply 55, the price of one ticket, by 4.

55 * 4 = 220

$ tickets cost $220

Answer:

x² + 8x + 7

Step-by-step explanation:

    (x + 7) (x + 1)

=  x(x + 1) + 7(x + 1)        Distributive

=  (x · x) + ( x ·1 ) + (7· x) + (7 · 1)

=  x² + x +  7x + 7         Multiply

=  x² + 8x + 7                Add like terms

Answer:

-439° × π / 180°  

= -2.4388888889π rad  

= -7.6619954163 rad

Step-by-step explanation:

π rad = 180°

Answer:

No

Step-by-step explanation:

A function cannot have two of the same x values (3 and 3)

I hope this helps!

Answer:

The value is [tex]81[/tex]

Step-by-step explanation:

We need to find value of [tex]5x+31[/tex] when [tex]x=10[/tex]

We have

[tex]5\times10+31=50+31\\\\=81[/tex]

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

Answer: 1.25 problems/min

32 minutes --> 40 problems

1 minute --> 40/32

                --> 1.25

Answer:

24 cups

Step-by-step explanation:

1 quart = 4 cups

6x4= 24 cups

Answer:

24 cups.

Step-by-step explanation:

Each quart is equal to 4 cups. This means you have to do 6x4 to find the answer.

Answer:

Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you

Step-by-step explanation:

Have a great rest of your day

#Nova

Answer:

It's C

Step-by-step explanation:

You can just use simple resoning to solve this. If the orginal dress cost three times as much as the dress on sale. Then the dress on sale would cost three times as less as the original dress. Let me know if i'm wrong tho