Is y=3^2-x+5 linear on non linear

Answer:

C

Step-by-step explanation:

180

Answer:

2^5

Step-by-step explanation:

The base is the same

2^3 * 2^2

We are multiplying, so we can add the exponents

2^3 * 2^2 = 2^(3+2) = 2^5

Answer: \(2^{5}\)

Explanation: I have written this problem on the whiteboard.

For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.

So 2³ · 2² is just \(2^{5}\).

A common mistake in this problem would

be for students to say that  2³ · 2² is \(4^{5}\).

It's important to understand however that when applying your

exponent rules, your base in this case 2 will not change.

Answer:

(-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52

Step-by-step explanation:

i literally just learned this today so here we go:

The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

We are given the center of the circle as (-7, -4), so we can substitute these values for h and k:

(x - (-7))^2 + (y - (-4))^2 = r^2

(x + 7)^2 + (y + 4)^2 = r^2

We also know that the circle contains the point (-1, -8).

We can substitute these values for x and y, and solve for r:

(-1 + 7)^2 + (-8 + 4)^2 = r^2

36 + 16 = r^2

r^2 = 52

Substituting this value of r^2 into the equation for the circle, we get:

(x + 7)^2 + (y + 4)^2 = 52

Therefore, the equation of the circle with center (-7, -4) containing the point (-1, -8) is:(x + 7)^2 + (y + 4)^2 = 52

Answer:

The answer is 39.50206 im pretty sure if it says you have to simplify it just round it

Answer: 2.5

Step-by-step explanation:

the base is always positive, and it says f(x)= 1/2*5^x
1/2*5 is 2.5, so I think the base is 2.5

hope it helped:)

The amount of cars you need to break even is 5.

To determine the number of cars you need to break even, we can set up an equation where the revenue equals the total cost.

Let's denote the number of cars as x.

Revenue = Number of cars × Price per wash

= x × $10

Total cost = Cost per car × Number of cars + One-time cost

= $3x + $35

To break even, the revenue should be equal to the total cost:

x × $10 = $3x + $35

Now, let's solve this equation to find the value of x:

10x = 3x + 35

Subtract 3x from both sides:

10x - 3x = 3x + 35 - 3x

7x = 35

Divide both sides by 7:

x = 35 / 7

x = 5

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Answer:

x=13.45

Step-by-step explanation:

This is a right triangle. We know this because of the little square in the corner that represents a right angle. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

In this triangle, 10 and 9 are the legs, because they form the right angle. x is the hypotenuse, because it is opposite the right angle.

a=10

b=9

c=x

Substitute these values into the equations.

10^2+9^2=x^2

Evaluate the exponents on the left side.

10^2=10*10=100

100+9^2=x^2

9^2=9*9=81

100+81=x^2

Add 100 and 81

181=x^2

Since x is being squared, take the square root of both sides. The square root and the exponent will cancel, and leave x by itself.

√181=√x^2

√181=x

13.4536240471=x

Round to the nearest hundredth. The 3 in the the thousandth place tells us to leave the 5 in the hundredth place as is.

13.45=x

The hypotenuse of the triangle is 13.45

Answer:

Step-by-step explanation:

Students with 1 to 3 pairs of shoes:

Students with 13 - 15 pairs of shoes:

Solve 32 - 4:

The solution to the function h(x) = 2x² - x - 1 is given by the graph attached which is a positive quadratic graph.

A quadratic graph represents a quadratic equation in the form:

   y = ax² + bx + c,

where a, b, and c are constants.

The graph of a quadratic equation is a curve called a parabola.

The general shape of a quadratic graph depends on the value of the coefficient "a." If "a" is positive, the graph opens upward, and if "a" is negative, the graph opens downward.

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The coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5). The solution has been obtained by using the concept of reflection.

What is reflection?

In geometry, a reflection is referred to as a flip. In a reflection, the shape is reflected. An image will reflect over a line known as the line of reflection.

We are given a point T(-2, 5)

In order to find the coordinates of the reflection of  point in the y-axis, we need to change the sign of abscissa i.e., x-coordinate and retain the ordinate i.e., y-coordinate.

So, we get the image of (-2 , 5) as (2, 5)

Thus, the coordinates of point T' after Ry-axis is (2, 5).

When we reflect across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.

So, we get the image of (-2 , 5) as (-2, -5).

Thus, the coordinates of point T' after Rx-axis is (-2, -5).

Hence, the coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5).

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The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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no, you have them switched around. the 3 should be on the x axis and the -6 should be on the y axis.

\(~~~~~~\dfrac{a^2 -b^2 }{a+b} =12\\\\\\\implies \dfrac{(a+b)(a-b)}{(a+b)} = 12\\\\\\\implies a-b = 12\\\\\)

Answer:

a - b = 12

Step-by-step explanation:

We can firstly multiply both sides by (a + b), so now we have the equation 12(a + b) = a^2 - b^2. Realizing that a^2 - b^2 is just (a + b)(a - b), we can then divide by (a + b) on both sides to get (a - b) = 12.

Answer:

????????????????????????????????????????

Answer:

GFIH

Step-by-step explanation:

You read coordinates X and then Y

(X,Y)

1. G

2. F

3. I

4. H

The combination of candy bars and peanuts would not be attainable for this consumer is option (B) two candy bars and five bags of peanuts

To determine which combination of candy bars and peanuts would not be attainable for a consumer with $10 to spend, we need to consider the different possible combinations and calculate the total cost.

Let's denote the number of candy bars as x and the number of bags of peanuts as y. Then, the equation of the total cost C is

C = 2x + 1.5y

We want to find the combination of x and y that would result in a total cost greater than $10, which would not be attainable for the consumer.

A) one candy bar and four bags of peanuts:

C = 2(1) + 1.5(4) = 8

This combination is attainable since the total cost is less than $10.

B) two candy bars and five bags of peanuts:

C = 2(2) + 1.5(5) = 13

This combination is not attainable since the total cost is greater than $10.

C) two candy bars and one bag of peanuts:

C = 2(2) + 1.5(1) = 5

This combination is attainable since the total cost is less than $10.

D) three candy bars and one bag of peanuts:

C = 2(3) + 1.5(1) = 7.5

This combination is attainable since the total cost is less than $10.

Therefore, the correct option is (B) two candy bars and five bags of peanuts.

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Answer:

In each bag there will be 1.82 ounces of mixture.

Step-by-step explanation:

Since Irene is making bags of trail mix for hiking club, and she will use 22 ounces of walnuts, 11.2 ounces of almonds, and 12.3 ounces of cashews to make 25 bags of trail mix, to determine how many ounces are in each bag you must perform the following calculation:

(22 + 11.2 + 12.3) / 25 = X

45.5 / 25 = X

1.82 = X

Thus, in each bag there will be 1.82 ounces of mixture.

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

Answer:

50% of 30 is 15.

30% of 10 is 3

Answer:

39 ADULT tickets

Step-by-step explanation:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65

3,   6,  9,  12,  15, 18,  21,  24,  27, 30, 33, 36, 39

Check the picture below.

The length of the hypotenuse (x) in the given right triangle is approximately 10 units.

Hence the correct option is B.

Given is right triangle with perpendicular side having measurement of 5 units,

The acute angle between the base and the hypotenuse = 30°

The acute angle between the perpendicular and the hypotenuse = 60°

We need to find the length of the hypotenuse (x).

We can use the trigonometric ratio for sine (sin) to relate the lengths of the sides.

In this case, we'll use the sine of the 30° angle:

sin(30°) = opposite/hypotenuse

sin(30°) = 5/x

To solve for x, we can rearrange the equation:

xsin(30°) = 5

x = 5 / sin(30°)

Now, we can calculate the value of x using this equation:

x = 5 / sin(30°)

x ≈ 10 units

Therefore, the length of the hypotenuse (x) in the given right triangle is approximately 10 units.

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Answer:

65 ft

Step-by-step explanation:

in 7 second the rocket went 65 ft

Answer:

0 . 4  =  2 / 5

Step-by-step explanation:

i. Costco is more effective at collecting its accounts receivable faster.

ii. The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing.

iii. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

Accounts Receivable Turnover: Year ended in 2022: 10.2 times; Year ended in 2021: 10.1 times.

Number of Days Sales in Accounts Receivable: 2022: 38.6 days; 2021: 39.1 days.

Sam's Club

Accounts Receivable Turnover: Year ended in 2022: 8.6 times; Year ended in 2021: 8.5 times.

Number of Days Sales in Accounts Receivable: 2022: 45.2 days; 2021: 46.2 days.

This could be due to a number of factors, such as the economic environment, changes in customer payment habits, or changes in the way that the companies are managing their receivables.

This could be due to a number of factors, such as the companies' different business models, customer bases, or payment terms.

So, Costco is more effective at collecting its accounts receivable faster.

The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

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Answer:

\(115 \dfrac{1}{2}\:cm^3\)

Step-by-step explanation:

The volume of a rectangular prism is the product of each of the sides of the prism

Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)

the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)

To perform this multiplication, convert mixed fractions to improper fractions first

Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)

\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)

\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)

Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)

\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)

Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)

Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder

\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)

\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)

Answer:

x = 45°

Step-by-step explanation:

80° + 55° + x = 180°

135° + x = 180°

x = 45°