The graph below represents the function f(x) and the translated function g(x) .

If f(x) = x ^ 2 , which of the following functions could be an algebraic representation of g(x) ?

Answer:

Step-by-step explanation:

IF 17 is in base 10

THEN

17₁₀ = 1 x 10¹ + 7 x 10⁰

10001₂ = 1 x 2⁴ + 0 x 2³ + 0 x 2² + 0 x 2¹ + 1 x 2⁰

32₅ = 3 x 5¹ + 2 x 5⁰

Answer:

− 1.875

Step-by-step explanation:

Do you want an explanation?

Answer:

6/8

Step-by-step explanation:

you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8

reduce if you can

Answer:

30 and 35

Step-by-step explanation:

Put this question into equation form:

Let x be the smaller number, if the larger number is 5 more and the total is 65:

x + 5 + x = 65

2x + 5 = 65

Subtract 5 from both sides

2x + 5 - 5 = 65 - 5

2x = 60

Divide both sides by 2:

2x ÷ 2 = 60 ÷ 2

x = 30

As the larger number is 5 bigger:

30 + 5 = 35

So the two numbers are 30 and 35.

Hope this helps!

Answer:

Small number 30

Large Number 35

Step-by-step explanation:

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:

x - y = 5

Now solve equation B for x to get the revised equation B:

x - y = 5

x = 5 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

5 + y + y = 65

5 + 2y = 65

2y = 60

y = 30

Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:

x + y = 65

x + 30 = 65

X = 35

Therefore the large and small number us 35 and 30 respectively.

Answer:

8/64 = 0.125 = 12.5%

Step-by-step explanation:

8/64 = 0.125 = 12.5%

Answer:

Step-by-step explanation:

An easy way is to substitute values into both equations and compare:

A. x = 0.8

B. x = 0.9

C. x = 1.9

D. x = 1.1

As we see the most accurate one is A

Let's graph both function(Attached)

Let's round 0.775

[tex]\\ \sf\longmapsto 0.775[/tex]

[tex]\\ \sf\longmapsto 0.77[/tex]

[tex]\\ \sf\longmapsto 0.8[/tex]

Option A is correct

Answer: 12 x 8

Step-by-step explanation: The other three are not the basic multiplication facts from 0 - 12.

Answer:

It's 7 I just did this question today and got it right

182.00 miles per hour

y = 182x will be the equation to represent one way you can find how many miles Emily's plane flew each hour.

A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.

The information that is provided is

the air travel time is 12 hours

The destination miles will include  2,184 miles​

Assuming the values of x and y

x = number of hours n

y = distance covered

The equation that will be made will be:

y = (2184 / 12)x

y = 182x

Therefore, the equation will be y = 182x.

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a = amount invested at 7%

b = amount invested at 8%

we know that total that he invested was 10000, therefore a + b = 10000.

hmmm how muich is 7% of "a"? well (7/100) * a => 0.07a.

how much is 8% of "b"? well (8/100) * b => 0.08b.

After a year he received in interest $730, so we know that at simple interest rate, 0.07a + 0.08b = 730.

[tex]\begin{cases} a+b=10000\\ 0.07a+0.08b=730\\[-0.5em] \hrulefill\\ b = 10000 - a \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{0.07a+0.08(10000-a) = 730} \\\\\\ 0.07a+800-0.08a=730\implies 0.07a-0.08a=-70\implies -0.01a=-70 \\\\\\ a=\cfrac{-70}{-0.01}\implies \boxed{a = 7000} ~\hfill \stackrel{\textit{we know that}}{b = 10000 -a}\implies \boxed{b = 3000}[/tex]

The equivalent of 1 mile to kilometres is  approximately 1.6 km.

2.54 cm = 1 inch

5280 ft = 1 mile

100 cm = 1 m

1000 m = 1 km

Using the information let's convert 1 mile to kilometre.

1000 m = 1 km

Therefore,

1 m = 0.000621371 miles

1000 m(1 km) = ?

cross multiply

length = 1000 × 0.000621371 = 0.621371 miles

Therefore,

0.621371  miles = 1 km(1000 m)

1 miles = ?

length in km = 1.60934449789 km

Therefore,

1 miles = 1.6 km

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Answer:

[tex]-6\leq x\leq 6[/tex]

Step-by-step explanation:

This is answer for the last question.

Answer:

  x = -2

Step-by-step explanation:

The expression f(x) = 1 corresponds to the point on the graph that is 1 unit above the x-axis. You can locate that horizontal line and see where it intersects the graph. That point of intersection  is 2 grid squares to the left of the y-axis, where x = -2.

  f(-2) = 1

  x = -2

Answer:

10:1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The unit rate is found by dividing.

2/3 = 0.(6)

1/15 = 0.(6)

Answer:

11/15

Step-by-step explanation:

11/20 / 3/4

11/20*4/3

44/60

22/30

11/15

Answer:

15/11

Step-by-step explanation:

3/4 divided by 11/20?

Reduce the expression, if possible, by canceling the common factors.

Exact Form: 15/11

decimal form: 1.36

mixed number form: 1 4/11

Answer:

10^2

Step-by-step explanation:

10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2

Answer:

100

Step-by-step explanation:

Hope it helps

Answer:

9/2

Step-by-step explanation:

Answer:2.8

Step-by-step explanation: casue yeas.

Answer:

try using a different app, it helps with all types of mathematical equations

Answer:

100011

Step-by-step explanation:

Answer:

x and y are directly related because y = -3x

Step-by-step explanation:

Using the slope - intercept form to represent the scenario described, the equation obtained would be y = 0.35x + 8

The cost per ride represents the intercept = $8

The cost per mile represents the slope = $0.35

The slope - intercept form of a linear equation is expressed as :

Therefore, the slope intercept form for the cost of taxi ride is y = 0.35x + 8

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The area of the rectangular field is 0.07 square kilometers (km²).To find the area of the rectangular field in square kilometers, we need to convert the given dimensions from meters to kilometers.

To find the area of the rectangular field in square kilometers, we need to convert the given dimensions from meters to kilometers and then calculate the area.

Given:

Length of the field = 350 meters

Width of the field = 200 meters

To convert from meters to kilometers, we divide the measurements by 1000, since there are 1000 meters in a kilometer.

Length in kilometers = 350 meters / 1000 = 0.35 kilometers

Width in kilometers = 200 meters / 1000 = 0.2 kilometers

Now that we have the dimensions of the field in kilometers, we can calculate the area.

Area of the field = Length in kilometers * Width in kilometers

Area of the field = 0.35 kilometers * 0.2 kilometers

Multiplying the values, we get:

Area of the field = 0.07 square kilometers

Therefore, the area of the rectangular field is 0.07 square kilometers.

It's important to include the correct unit in the answer, which is "square kilometers" (km²). This represents the unit for measuring the two-dimensional area. In this case, the area of the field is 0.07 km².

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Answer: its 21

Step-by-step explanation:

the sequence goes up by 1 each time

Answer:

21

Step-by-step explanation:

a1=1

a2=a1+2

a3=a2+3

a4=a3+4

...

a(n)=a(n-1)+n

9514 1404 393

Answer:

  y = -1/2x +11/2

Step-by-step explanation:

The slope of the line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -2)/(9 -7) = -1/2

The y-intercept is ...

  b = y -mx

  b = 2 -(-1/2)(7) = 11/2

Then the slope-intercept equation is ...

  y = -1/2x +11/2

_____

Alternative solution

A general form equation for the line can be ...

  (y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0

  (2 -1)(x -7) -(7 -9)(y -2) = 0

  x-7 +2y -4 = 0

  x +2y -11 = 0 . . . . . general form equation

  x +2y = 11 . . . . . . . standard form equation

Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

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Answer:The mean deviation of the given data is;

Option B: 1

Step-by-step explanation:

Σ(x - x¯)/n

Now, x¯ is the mean = (1 + 2 + 3 + 3 + 4 + 5)/5

x¯ = 3

Thus;

1 - 3 = -2

2 - 3 = -1

3 - 3 = 0

3 - 3 = 0

4 - 3 = 1

5 - 3 = 2

Mean deviation is usually a positive value. Thus;

Σ(x - x¯) = 2 + 1 + 0 + 0 + 1 + 2

Σ(x - x¯) = 6

Thus;

Σ(x - x¯)/n = 6/6

Σ(x - x¯)/n = 1

Step-by-step explanation:

tanx=sinx/cosx=3/6=1/2

Answer:

2

Step-by-step explanation:

f^-1 (7) = [tex]\frac{x-1}{3}[/tex] = [tex]\frac{7-1}{3}[/tex] = [tex]\frac{6}{3}[/tex] = 2

Answer:

whats the question I can't help without a question