A garden table and a bench cost $772 combined. The garden table costs $72 more than the bench. What is the cost of the bench?

Answer:

y = (x-4)²

Step-by-step explanation:

vertex (h , k)

h = 4   .... axis of symmetry

k = (6 + -6) / 2 = 0  .... midpoint of focus and directrix

equation of parabola: y = (x-4)²       y = (x-h)² + k

Answer:

31.6% decrease

Step-by-step explanation:

percent of change = difference between original and new values divided by the original value

n = % change

n = 0.72/2.28

n = .3157

n = 31.6%

[tex]1) \: 21 + 35.[/tex]

[tex]2) \: 5.[/tex]

Answer:

Step-by-step explanation:

1.

To expand the expression 7(3+5), multiply 7 into the numbers in the blanket. That means 7×3 + 7×5 = 21 + 35.

2.

It's the result of the expression on the right. It's 5 because 5(3-2) = 5×3 + 5×2 = 15 - 10.

Answer:

[tex] {(x - y)}^{2} = (x - y)(x - y) \\ = ( {x}^{2} - xy - xy + {y}^{2} ) \\ = ( {x}^{2} - 2xy + {y}^{2} )[/tex]

Answer:

C

Step-by-step explanation:

i am smart

Answer:  -3? i think..

Step-by-step explanation:

Step-by-step explanation:

a square plus b squad plus c

Answer:

For example, the phrase "3 more than an unknown number" becomes the mathematical expression "x + 3." Because the unknown number has no explicitly stated value, we label it with a variable x. To get a value three more than x, simply add 3 to it.

hope it helps ya mate. ~^~

Answer:

3 + x

Step-by-step explanation:

"More than" means addition. 3 more than x is saying 3 plus x. In an algebraic expression, this would look like:

3 + x

Answer:

$9.50

Step-by-step explanation:

Answer: the unit rate is $9.50

and graph x to (0,0) and y to (1,9.5)

Step-by-step explanation:

✍️Answer:

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▭ ▭ ▭ ▭ ▭ ▭ ▭ ▭

Answer:

9ft is hiii

Step-by-step explanation:

Answer:

x=74 degrees

Step-by-step explanation:

Answer: 18/91 or ≈ 0.2

Step-by-step explanation:

Bag one: 4 red + 3 blue = 7 total

Bag two: 7 green + 6 yellow = 13 total

probability of picking blue from first bag: 3/7

probability of picking yellow from second bag: 6/13

3/7*6/13 = 18/91 or about 0.2 chance

Answer for first question:

tangent of P= 4/3

cosine of P= 3/5

sine of P= 4/5

Explanation:

tangent = opposite/ adjacent

cosine = adjacent/ hypotenuse

sine = opposite/ hypotenuse

2nd question: x=12

Explanation: When you have a 45-45-90 degree angle the hypotenuse will always be twice the base of the triangle and the longer leg will always be √2 times the base. Here you have the measurement of one of the longer sides- 6√2. Because we have this measurement, we know the base is going to be 6 and the hypotenuse, x, will be 12.

3rd question: cos y

Explanation: Let's give the triangle some measurements to make this easier.

The hypotenuse= 5.

The adjacent side of x= 3.

The opposite side of x= 4.

sine= opposite/ hypotenuse = sin x = 4/5

cosine= adjacent/ hypotenuse = cos x = 3/5

As you see, 3/5 and 4/5 are not equal, but when you try cos y and sin x. You will find that they are equal.

Answer:

uhm 0 degrees

Step-by-step explanation:

The value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The inverse trigonometric expression is given below.

⇒ sin⁻¹(sin 17°)

We know that the value of sin⁻¹(sin θ) is θ.

Then the value of the inverse trigonometric expression will be

⇒ sin⁻¹(sin 17°)

⇒ 17°

Thus, the value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

More about the inverse trigonometry link is given below.

https://brainly.com/question/20595059

#SPJ2

Answer:

3.5 feet = 3 feet 6 inches

3 * 12 = 36

36 + 6 = 42 inches long

42 / 5/8 → 42 * 8/5 = 42*8/5

336 / 5 = 67.2

We can't put up part of a book, so we can fit 67 books.

Step-by-step explanation:

Answer:

2,1  4,2  6,3  8,4  10,5  12,6  14,7  16,8  18,9  20,10  etc.

Step-by-step explanation:

Answer:

(6, 97) is the outlier.

Step-by-step explanation:

When we have a data set:

x: x₁, x₂, x₃, ..., xₙ

y: y₁, y₂, y₃, ..., yₙ

Each one of the pairs (x₁, y₁), (x₂, y₂), etc, is an ordered pair that belongs to the data set.

Usually, these values are distributed in some way that, we assume, is normalized. So if one of these ordered pairs is really different from the others, then that pair is called an "outlier".

In the data set, we have:

Number of homework completed vs Score assigned.

You can see that, as the number of homework completed increases, also does the score

For example, for the smaller number of homework completed, (5) the score is 67, the minimum score.

And as the number of homework completed reaches to 10, the score increases to 90 or 98.

But there is an outlier there, you can see that a student that only completed 6 times the homework, has a score of 97 (one of the largest scores) (this score is more than all the scores for the students with 6, 7, 8 and 9 completed homeworks) so we can conclude that this one is the outlier.

(6, 97) is the outlier.

Answer:

greater by about 50 bacteria

hope this helps,

T

Step-by-step explanation:

Populations can be modeled by exponential functions and logarithm functions.

Kirk's graph is an exponential function, and it is represented as:

[tex]\mathbf{y = ab^x}[/tex]

From the graph (see attachment);

x = 0, when y =10.

So, we have:

[tex]\mathbf{10 = ab^0}[/tex]

[tex]\mathbf{10 = a\times 1}[/tex]

[tex]\mathbf{10 = a}[/tex]

Rewrite as:

[tex]\mathbf{a = 10 }[/tex]

Substitute [tex]\mathbf{a = 10 }[/tex] in [tex]\mathbf{y = ab^x}[/tex]

So, we have:

[tex]\mathbf{y = 10(b)^x}[/tex]

x = 20, when y =20.

[tex]\mathbf{20 = 10(b)^{20}}[/tex]

Divide both sides by 10

[tex]\mathbf{2 = b^{20}}[/tex]

Take 20th root of both sides

[tex]\mathbf{b = 2^{\frac{1}{20}}}[/tex]

Substitute [tex]\mathbf{b = 2^{\frac{1}{20}}}[/tex] in [tex]\mathbf{y = 10(b)^x}[/tex]

[tex]\mathbf{y = 10(2^{\frac{1}{20}})^x}[/tex]

[tex]\mathbf{y = (10)2^{\frac{x}{20}}}[/tex]

Represent as function

[tex]\mathbf{f(x) = (10)2^{\frac{x}{20}}}[/tex]

So, Kirk's function is: [tex]\mathbf{f(x) = (10)2^{\frac{x}{20}}}[/tex]

When x = 60, we have:

[tex]\mathbf{f(60) = (10)2^{\frac{60}{20}}}[/tex]

[tex]\mathbf{f(60) = (10)2^3}[/tex]

[tex]\mathbf{f(60) = (10)8}[/tex]

[tex]\mathbf{f(60) = 80}[/tex] ---- Kirk's model

For Jana's model, we have:

[tex]\mathbf{y = 12log(x + 1) + 10}[/tex]

Substitute 60 for x

[tex]\mathbf{y = 12log(60 + 1) + 10}[/tex]

[tex]\mathbf{y = 12log(61) + 10}[/tex]

Using a calculator, we have:

[tex]\mathbf{y \approx 31}[/tex] --- Jana's model

Calculate the difference between both models

[tex]\mathbf{d = 80 - 31}[/tex]

[tex]\mathbf{d = 49}[/tex]

Approximate

[tex]\mathbf{d \approx 50}[/tex]

Hence, Kirk’s model predict the population will be greater than about 50 bacteria after 60 minutes than Jana’s model

Read more about population models at:

https://brainly.com/question/8993571

Answer:  Choice C

Point D is 8 units to the left of point G

=================================================

Explanation:

Refer to the diagram below. I've graphed both points on the same xy grid. We can draw a horizontal line through points D and G to form a number line of sorts. Count the number of spaces along this number line to go from G to D. You should count 8 spaces to the left.

Effectively, this is the same as drawing a number line and plotting -10 and -2 on this number line. We only worry about the x coordinates of the two points since the y coordinates are the same (both are y = -3). Note how -10 is eight units to the left of -2 on the number line.

Answer:

-3.8=n

Step-by-step explanation:

My goal is to get n all by itself, but its multiplied by 6. If I do the inverse operation (which is division) on both sides I will get -22.8/6=n. Now I can just simply combine the like terms and finalize my answer. 6 * 3=18 but -22.8 is a decimal number so my answer will range from around 3.5-3.9. if I divide -22.8/6 I get -3.8. My final answer is n=-3.8

Answer:

36/2=18

18/2=9

9/3=3

3/3=1

List out the factors used: 2, 2, 3 & 3.

Pick one out of pairs of factors available: 2 & 3.

Multiply them: 2×3 = 6

6 is the square root of 36.

Step-by-step explanation:

hope it helps

please mark brainliest

Answer:

6x+2

-2x+1

=

4x+1

just find the area of each and subtract the non-shaded one from the shades area.

Answer:

4 & 2

Step-by-step explanation:

Median is the two middle numbers

Answer:

I think the answer should be 4