What is the solution to the system of equations? Two-thirds x minus one-third y = negative 2 Negative 2 x + y = negative 6 There is no solution. There are infinitely many solutions. There is only one solution, (2, –2). There is only one solution, (–2, –10).

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:

1:3

Step-by-step explanation:

The total animals is 45 and the cats is 15.

The ratio is 15:45

Simplified, it would be 1:3 because you can divide each side my 15.

Hope this helped!! :)

Brainliest?!?!

Have a safe and wonderful day/night/afternoon!!!

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:

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:

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:

The larger angle is 54°

Step-by-step explanation:

Given

Let the angles be: θ and α where

θ > α

Sum = 72

α : θ = 1 : 3

Required

Determine the larger angle

First, we get the proportion of the larger angle (from the ratio)

The sum of the ratio is 1 + 3 = 4

So, the proportion of the larger angle is ¾.

Its value is then calculated as:.

θ = Proportion * Sum

θ = ¾ * 72°

θ = 3 * 18°

θ = 54°

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.

Answer:

umm

Step-by-step explanation:

Answer:

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

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:

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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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: 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:

Ray CA

Step-by-step explanation:

There is a point in-between.

A ray cannot depict CA because it extends from both of its ends.

Option 2 is correct.

In mathematics, a ray is a segment of a line with a fixed starting point but no ending. That can go on forever in a single direction. A ray cannot be measured since it has no end point.

Point: Point is a dot or vertex of any figure or diagram. It represents by capital alphabet. So, B would be a point.

Line: A line is a straight path with both endless. It means we can extends line from both end. But in case of BD we can't extend from point B. So, it won't be a line.

Ray: A ray is a straight path with one endless. It means we can't extend line from one end and extend from another end. But we can extend AC from both end. It won't be a ray.

Line Segment: A line segment is a straight path with end from both end. We can't extend from either end of the line. We can say CD would be line segment.

CA cannot be represented by a ray, as it's extending from both of its ends.

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Answer:

12/5

Step-by-step explanation:

multiply the denominator with the whole number, then add that product to the numerator. make sure to keep the denominator.

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:

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:

647637=

Step-by-step explanation:

Answer:

2,3

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:

17

Step-by-step explanation:

17x3=51, 51+12=63

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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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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