What is the equation of the blue line below?
HELP

Given that,

[tex]f(x) = \sqrt{x-3}[/tex]

To find,

The domain of f(x).

Solution,

We have, [tex]f(x) = \sqrt{x-3}[/tex]

To find domain,

The term under the square root must be positive or null as follows :

[tex]x-3\ge 0[/tex]

Adding 3 both sides

[tex]x-3+3\ge 0+3\\\\x\ge 3[/tex]

So, the domain is x-3>0 .

Answer: "reduced by a factor of One-third."

Step-by-step explanation:

Suppose that the original magazine has a length L and a width W.

If it is photocopied using a scale factor of K, then the measures of the photocopy will be:

length = K*L

Width = K*W

In this case, the scale factor is K = 1/3, then the measures of the photocopy will be:

length = (1/3)*L = L/3

Width = (1/3)*W = W/3

For usual notation:

When k > 1, we have an enlargement by a factor k

when 0 < k < 1, we have a reduction by a factor k

in this case, k = 1/3, then:

We have a reduction by a factor of 1/3

The correct option is:

"reduced by a factor of One-third."

Answer: D-reduced by a factor 1/3

Step-by-step explanation:

got it correct on edge 2021

Answer

do you need the work or is the answer ok?

Step-by-step explanation:

i have to do the work for it

Answer:

17

Step-by-step explanation:

17x3=51, 51+12=63

Step-by-step explanation:

The sequence is AP(arithmetic progression) with a common difference of -3

The given sequence is in arithmetic sequence and the common difference is 3.

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The sequence is,

⇒ 12, 9, 6, ...

Here, The common difference is find as;

⇒ 9 - 12 = - 3

⇒ 6 - 9 = - 3

Which is same.

So, The sequence is an Arithmetic sequence.

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9514 1404 393

Answer:

  7. c(n) = 10 +2(n -1)

  8. c(20) = 48

Step-by-step explanation:

7. Your arithmetic sequence has first term a1=10 and constant difference d=2. The explicit formula for terms of an arithmetic sequence is ...

  an = a1 +d(n -1)

If we use c(n) as the function name for the function giving the number of chairs in row n, then we can fill in the numbers we know to get ...

  c(n) = 10 + 2(n -1)

__

8. Evaluating the function when n=20, we find ...

  c(20) = 10 +2(10-1) = 10 +2·19 = 10 +38

  c(20) = 48

There are 48 chairs in row 20.

Answer:

Step-by-step explanation:

∠A≅∠E, ∠B≅∠F and ∠C is common and congruent to itself, therefore

Ratio of corresponding sides is same. Get the equation below and solve for x:

Answer:

Thats the answer

Step-by-step explanation:

The product of the numerical expressions 4.56 and 1000 will be given as 4560.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The numbers are 4.56 and 1000

Then the product of these two numbers will be

→ 4.56 × 1000

→ 4560

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The probability of picking a chocolate chip cookie is 1/3.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A box contains 5 chocolate chip cookies, 4 sugar, and 6 oatmeal raisin.

N represents no. of.

So, N(S) = 5 + 4 + 6 = 15.

N(CC) = 5, N(SR) = 4 and N(OR) = 6.

∴  The probability of picking a chocolate chip cookie is = N(CC)/N(S).

= 5/15.

= 1/3.

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Answer:

umm

Step-by-step explanation:

Answer:

x= 19

Step-by-step explanation:

∠ WYZ and ∠ XWY are alternate angles and are congruent, so

∠ XWY = 2x

The sum of the 3 angles in a triangle = 180°

sum the angles in Δ XWY and equate to 180

2x + 3x - 5 + 90 = 180

5x + 85 = 180 ( subtract 85 from both sides )

5x = 95 ( divide both sides by 5 )

x = 19

Answer:

[tex]\displaystyle (-1,\frac{-3}{2})[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 1)

Point (1, -4)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Answer:

2,3

Step-by-step explanation:

Answer:

Distance cover by Frank and family each day = 300 miles per day

Step-by-step explanation:

Given:

Total distance cover by Frank and family = 3,000 miles

Number of days = 10

Find:

Distance cover by Frank and family each day

Computation:

Distance cover by Frank and family each day = Total distance cover by Frank and family / Number of days

Distance cover by Frank and family each day = 3,000 / 10

Distance cover by Frank and family each day = 300 miles per day

Answer:

C. 300

Step-by-step explanation:

Divide the distance by the time it took to travel that distance: 3,000 miles ÷ 10 days = 300 miles per day.

Answer:24

Step-by-step explanation:

Answer:22 × 52

Step-by-step explanation:

Answer:

2 x 2 x 5 x 5

Step-by-step explanation:

since 2, 3, and 5 are prime numbers I always begin by seeing if the number to be factored has those as factors

100 is divisible by 2 so you can start there:

2 x 50

50 is divisible by 2 so you now have:

2 x 2 x 25

25 is divisible by 5 so you now have all prime factors whose product is 100

2 x 2 x 5 x 5

Answer:

The cost of one rose is $11., and the cost of one geranium is $5.

Step-by-step explanation:

The cost of one rose bush and one geranium can be determined by the use of simultaneous equation. Let the cost of a rose bush be represented by x, and the cost of one geranium by y.

So that,

13x + y = 148 .............. 1

9x + 14 y = 169 ............... 2

From eqaution 1,

y = 148 - 13x ............... 3

substitute the value of y in equation 2

9x + 14(148 - 13x) = 169

9x + 2072 - 182x = 169

2072 - 169 = 182x - 9x

1903 = 173x

x = [tex]\frac{1903}{173}[/tex]

  = 11

x = 11

substitute the value of x in equation 3

y = 148 - 13x

  = 148 - 13(11)

  = 148 - 143

y = 5

x = 11, y = 5

Thus, the cost of one rose is $11., and the cost of one geranium is $5.

Answer:

10 because it goes by 2 so 5 x2 is 10 so 3 x2 is 6 so its x 2

Answer:

Step-by-step explanation:

use the formula { a couple of times} cos 2 Θ = 2 cos ² Θ - 1 = 1 - 2 sin ² Θ....your answer will likely have a cos  2x , a cos 4x , and a cos 6x in it.....note : cos ² Θ - sin ²Φ = cos ( Θ + Φ) cos (Θ - Φ) will also be needed for appropriate choices of Θ & Φ in terms of x

Answer: 6 leaves

Step-by-step explanation:

23 - 17 = 6

Hope that helped! :p

The number of leaves more leaves does Sheila collect then Rodney is 6.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Given that, Rodney collects 17 leaves and Sheila collects 23 leaves.

Now, 23-17

= 6

Therefore, the number of leaves more leaves does Sheila collect then Rodney is 6.

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Answer:

647637=

Step-by-step explanation:

Answer:

[tex]y<-\frac{4}{3}x+5[/tex]

Step-by-step explanation:

Since, the given line in the graph is a dotted, line will represent an inequality with no sign of equal to (=).

Since, the shaded area is below the dotted line, inequality will have the sign less than (<).

Therefore, equation of the inequality will be in the form of,

y < mx + b

Here, m = slope of the line

b = y-intercept

Slope of the line passing through two points (0, 5) and (3, 1),

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

   = [tex]\frac{5-1}{0-3}[/tex]

   = [tex]-\frac{4}{3}[/tex]

Y-intercept (at x = 0),

b = 5

Therefore, equation of the inequality will be,

[tex]y<-\frac{4}{3}x+5[/tex]

Answer:

24 divuded by .75 = 32 Meals

Step-by-step explanation:

3/4 of 1 pound is = to .75 pounds per meal

therefore we divide the 24 meals by the amount neaded for each meal.

Equasion becomes 24 ÷ .75 = 32

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Step-by-step explanation:

2x + 1 = 16

2x = 15 (subtract 1 on both sides)

x = 7.5 (divide 2 om both sides)

Since 7.5 is not an integer, (a) is No.

However 7.5 is rational, therefore (b) is Yes.

Answer:

[tex]2x + 1 = 16 \\ 2x = 15 \\ x =\frac{15}{2} \\ \boxed{x = 7.5 }[/tex]

a. Does the equation have a solution in the set of integers? ____

→As 7.5 is not a integer, the right answer is No.

b. Does the equation have a solution in the set of rational numbers? ____

→7.5 is a rational number, the right answer is Yes.