what is the difference between a function family and a parent function? ​

Answer:

6.34 × 10²

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 634

New Number: 6.34

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 6 . 3 4

Decimal Count: 1 2

There are 2 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 6.34

b = 2

Now the whole thing:

6.34 x 10²

Step 4

Check your work:

10² = 100 x 6.34 = 634

Answer:

6.34 x 10^2

Step-by-step explanation:

Move the decimal place to the left 2 positions

Answer:

25 degrees

Step-by-step explanation:

56+99=155

180-155=25

25 degrees

Answer:

20 books

Step-by-step explanation:

Fractions and all that.

Answer:

x = 0 & y = 2. Hope this helped <3

The value of x and y from the equation is 1/6 and 5/6 respectively

x = 1/6

y = 5/6

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be A

11x - 7y = -4   be equation (1)

Let the second equation be B

-14x - 2y = -4   be equation (2)

On simplifying , we get

Multiply equation (2) by 7 , we get

-98x - 14y = -28   be equation (3)

Multiply equation (1) by 2 , we get

22x - 14y = -8   be equation (4)

Subtract equation (4) from equation (3) , we get

-120x = -20

Divide by 120 on both sides , we get

x = 1/6

Now , substituting the value of x in equation (1) , we get

11x - 7y = -4  

11 ( 1/6 ) - 7y = -4

Adding 7y on both sides , we get

7y - 4 = 11/6

Adding 4 on both sides , we get

7y = 11/6 + 4

7y = 35/6

Multiply by 7 on both sides , we get

y = 5/6

Hence , the value of x is 1/6 and value of y is 5/6

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Answer:

[see below]

Step-by-step explanation:

Using two points on the line:

(0,3) (2,0)

Find the slope of the line:

[tex]m=\frac{rise}{run}=\frac{0-3}{2-0}=\frac{-3}{2}=-\frac{3}{2}[/tex]

The slope of the line is [tex]-\frac{3}{2}[/tex].

The y-intercept is (0,3).

The line equation should be: [tex]y=-\frac{3}{2}x+3[/tex].

Hope this helps.

Answer:

[tex]y=-\frac{3}{2}x+3[/tex]

Step-by-step explanation:

We can find an equation for the line by using the slope of the line and the y-intercept.

We can see that the y-intercept of of the line is 3.

To find the slope of the line, we can use the slope formula. The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are points on the line. To find the slope of the line, I will use the x-intercept, which is (2, 0), for (x₂, y₂) and y-intercept, which is (0, 3), for (x₁, y₁).

[tex]m=\frac{0-3}{2-0}=\frac{-3}{2}=-\frac{3}{2}[/tex]

So now we know the y-intercept and the slope, so lets plug it into the slope-intercept form equation. This gives us:

[tex]y=-\frac{3}{2}x+3[/tex]

So the equation of the line would be [tex]y=-\frac{3}{2}x+3[/tex].

I hope you find my answer helpful.

Answer:

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

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 3(x - 9) + 6 ← distribute and simplify right side

y = 3x - 27 + 6 = 3x - 21 ( add 21 to both sides )

y + 21 = 3x ( divide all terms by 3 )

[tex]\frac{1}{3}[/tex] y + 7 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

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

Answer:

1/7

Step-by-step explanation:

I got it right

Answer:

rvg g rtb rg  gt ggw

Step-by-step explanation:

g wgrgr wrgf  r

Answer:

X = 9 and Y = 8

Step-by-step explanation:

We are to find the midpoint of the coordinates  (13,15) and  (5,1).

Using the midpoint formula;

M(X, Y) = [(x1+x2)/2, (y1+y2)/2]

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1

X = 13+5/2

X = 18/2

X = 9

Similarly;

Y = 15+1/2

Y = 16/2

Y = 8

Hence The Tourist Information Center is located at point X = 9 and Y = 8

Answer:

Finding the circumference?

Answer:

B. input

Step-by-step explanation:

Answer:

7 degrees Fahrenheit

Step-by-step explanation:

-3 + 11 = 7

It's the same as

11-3= 7

Awnser-H=5/2

Explantion- Absolute value equalitiy entered

     7|-3h+8| = 21h-49  Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 7|-3h+8|

For the Negative case we'll use -7(-3h+8)  

For the Positive case we'll use 7(-3h+8)  

-7(-3h+8) = 21h-49  

    Multiply

     21h-56 = 21h-49  

    Rearrange and Add up

     0h = 7  

    False, No solution for the Negative Case 7(-3h+8) = 21h-49  

    Multiply

     -21h+56 = 21h-49  

    Rearrange and Add up

     -42h = -105  

    Divide both sides by 42

     -h = -(5/2)  

    Multiply both sides by (-1)

     h = (5/2)  

    Which is the solution for the Positive Case When an absolute value equation has just one solution, that solution has to be checked:

The equality is  7|-3h+8| = 21h-49  

The solution is  h = 5/2  

We check the solution by plugging it for h

7|-3(5/2)+8| = 21(5/2)-49  

The left hand side is equal to   (7/2)  

The right hand side is equal to   (7/2)  

The two sides are equal!

Solution checks!

h=5/2

Answer:

A would be 35

Step-by-step explanation:

if that area is at a 90 digre angle then do 90- 55 then you get your anwser.

Answer:

answer is C because it is

Answer:

A≈8.04m² is the answer

Answer:

C) 6

Step-by-step explanation:

I converted the equation into slope-intercept form and then identified the y-intercept.

[tex]4x+2y=12\\\\4x-4x+2y=12-4x\\\\2y=12-4x\\\\\frac{2y=12-4x}{2}\\\\ y=6-2x\\\\y=-2x+6\\\\y=-2x+\boxed{6}[/tex]

C should be the correct answer.

Hope this helps.

Answer: 6

Step-by-step explanation: The y-intercept is a point where a line

crosses the y-axis and all y-intercepts have an x-coordinate of zero.

So to find the y-intercept of this line, we can plug a 0 in for x.

So we have 4(0) + 2y = 12.

So 2y = 12 which means that y = 6.

So the y-intercept of this line is 6.

summer the food is most susceptible to bacteria and microorganism growth because of heat

Microbiology is the scientific study of microorganisms, those being unicellular, multicellular, or acellular.

Susceptibility is a term used when microbe such as bacteria and fungi are unable to grow in the presence of one or more antimicrobial drugs.

Susceptibility testing is performed on bacteria or fungi causing an individual's infection after they have been recovered in a culture of the specimen.

In summer the food is most susceptible to bacteria and microorganism growth because of heat where as in the winter and fall the bacteria wont grow easily.

Hence,  summer the food is most susceptible to bacteria and microorganism growth because of heat

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Answer:

It depends on how long the measurement is for each amount of money for example every 5 miles pay $12 so it would be which would be 11$.5 and the equation would be $12/5mi and if he had to pay $138 then it shows that he went 11.5 mi

Step-by-step explanation:

Slope formula: y2-y1/x-x1

We can use the given points to solve.

3-(-3)/7-5

6/2

3

Best of Luck!

Having 1 as an exponent does nothing to the original number.

2/3^1 = 2/3

Best of Luck!

Answer:

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

Step-by-step explanation:

Anything to the power of 1 is itself.

---------------------------------------------------

If a number is to the power of 2, it multiplies itself and there are two 8 terms.

[tex]8^2=8*8[/tex]

Thus, if a number is to the power of 1, it is just by itself.

[tex]8^1=8[/tex]

Answer:

Step-by-step explanation:

so the problem is 7 cookies in 1 minutes which is 7 x1 but if we want to know how many we have in 2 minutes we would have to multiply by 2 not 1. so we do 7x2 which is 14. 14 cookies in 2 minutes

Answer:

No.

If two rectangles are congruent, it means they are the exact same shape and size.

I have uploaded an image with this answer. In the image, you can see two rectangles with the same perimeter. However, they are not congruent because they are not of the same size (even though they are of the same shape - a rectangle).

Hence, two rectangles may not be congruent if they have the same perimeter.

The minimum number of $0.10 stamps he needs to use is 1 stamp.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

let x represents the number of $0.44 cent stamps

and, y represents the number of $0.10 cent stamps

Ori uses all 3 of the $0.44 cent

=0.44x3

= 1.32

Then, 1.47-1.32= 0.15

We have at least 2 dimes for the equation

=0.44(3)+0.10(2)≥1.47

= 1.32+0.20≥1.47

= 1.52≥1.47

Then,  number of $0.10 stamps he needs to use

= 0.15/ 0.10

= 1.5

= 2 or 1 stamps

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Answer:

2.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

(0,-10)

Step-by-step explanation:

Answer:

 your answer Is 3

Step-by-step explanation:

You do y2-y1 and x2-x1

that gives you -2-22/-4-4 which leaves you with

-24/-8

and that’s 3

Answer:

UT=17 because both UT and RU are the same length, same with QU and US

Step-by-step explanation:

Answer:

5 because once you evaluate your functions and simplify your equations you get all 5 solutions.

Step-by-step explanation:

Answer:

  50

Step-by-step explanation:

Let x represent the number of pizzas cut into small slices. Then the ratio of small to large slices is ...

  [tex]\dfrac{8x}{6(90-x)}=\dfrac{5}{3}\\\\8x=10(90-x)\quad\text{multiply by $6(90-x)$}\\\\18x=900\quad\text{add $10x$}\\\\x=50\quad\text{divide by 18}[/tex]

50 of the 90 pizzas were cut into small slices.

_____

Check

The 50 pizzas cut into 8 small slices each results in 400 small slices. The 40 pizzas cut into 6 large slices each results in 240 large slices. The ratio of small slices to large slices is 400 : 240 = 5 : 3.

Answer:

The leaf travels 35 meters per minute

Step-by-step explanation:

Given:

Distance = 140 meters

Time = 4 minutes

Speed = distance / time

Speed in meter per minute

Distance in meter

Time in minutes

Speed = distance / time

= 140 meters / 4 minutes

= 35 meters per minutes

Therefore,

The leaf travels 35 meters per minute