Evaluate Functions From a Graph

Answer:

[tex]\large\boxed{\textsf{ t = 484.}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to solve for the value of t. We should first begin with a review of}[/tex]

[tex]\textsf{what the \underline{Properties of Equality} are.}[/tex]

[tex]\large\underline{\textsf{What are Properties of Equality?}}[/tex]

[tex]\textsf{Properties of Equality are properties that allows us to manipulate an equation}[/tex]

[tex]\textsf{stating whenever a constant is added, removed, squared, square rooted... then}[/tex]

[tex]\textsf{both expressions will still show equality to each other.}[/tex]

[tex]\underline{\textsf{Example;}}[/tex]

[tex]\textsf{The Addition Property of Equality. This Property states that whenever a constant,}[/tex]

[tex]\textsf{or the same term is added to both sides of an equation, the equation remains}[/tex]

[tex]\textsf{equal. Say we were given this equation;}[/tex]

[tex]\tt a - 7 = 9[/tex]

[tex]\textsf{We would use the Addition Property of Equality to isolate a.}[/tex]

[tex]\textsf{This is done by adding 7 to both sides of the equation.}[/tex]

[tex]\tt a \ -\not{7} + \not{7} = 9 + 7[/tex]

[tex]\boxed{\tt a=16.}[/tex]

[tex]\large\underline{\textsf{For Our Problem;}}[/tex]

[tex]\textsf{We should use the Multiplication Property of Equality, which states that whenever}[/tex]

[tex]\textsf{both sides of the equation are multiplied by a constant, then they are still equal.}[/tex]

[tex]\textsf{Let's use the Multiplication Property of Equality to multiply both sides of the}[/tex]

[tex]\textsf{equation by 11 in order to remove the fraction.}[/tex]

[tex]\tt \frac{\not{11} \times t}{\not{11}} = 44 \times 11[/tex]

[tex]\underline{\textsf{We are left with our final answer;}}[/tex]

[tex]\large\boxed{\textsf{ t = 484.}}[/tex]

Answer:

t = 484

Step-by-step explanation:

[tex]\frac{44}{1} = \frac{t}{11}[/tex]

[tex]44*11 = 484[/tex]

Hence,  t = 484

[RevyBreeze]

The amount left by Diana is percent part of total food cost. The 15% tip of $44 total cost given by Diana is : Option D: $6.60

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Since the total food cost was $44 and the tip was 15% of the total cost, thus,

[tex]\text{Tip amount} = \dfrac{44}{100} \times 15 = 6.6 \text{\:dollars}[/tex]

Thus,

The 15% tip of $44 total cost given by Diana is : Option D: $6.60

Learn more about percentage here:

https://brainly.com/question/11549320

Answer:

A) 20

Step-by-step explanation:

[tex] |(12 + 8) \div 2| \times 2 \\ |20 \div 2| \times 2 \\ 10 \times 2 \\ 20[/tex]

Answer:

sorry for being late, here is the answers :)!

Answer:

2y-6=x >>> Y= 1/2x+3

-x+(1/2)y=3 >>> Y=2x+6

2x+y=3 >>> Y=-2x+3

x-3y=-6 >>> Y=(1/3)x+2

Step-by-step explanation:

Hope this helps! :)

Answer:

$752.69 + 12.5%=$753+$50=$803+ 3.35%=803.0335=

answer: c. $818.

Step-by-step explanation:

Answer:

⬇️ i got 100% on the test

Answer:

So for number 1 and 2

Step-by-step explanation:

Perimeter is = 2(L+W)

L=2w as it said on the problem above.

60=2 (2w+w)

60= 2 (3w)

60 = 6w

w= 10 , L=20 P=60

Area of rectangle = L x W

20 x 10 = 200

2)You would have twice as many hot dogs and 24 is two times 12 and if you add them you get 36.

Answer:

4. A rectangle is a square

Step-by-step explanation:

A rectangle can be a square, but not always. A rectangle has 2 pairs of parallel sides, 2 pairs of congruent sides, and 4 right angles. Squares have 2 pairs of parallel sides, 4 congruent sides, and 4 right angles. So, the difference between the two is that adjacent sides are not necessarily congruent in rectangles, but they are in squares. This means that some rectangles can be a square. If a rectangle has all congruent sides, then it is a square. On the other hand, some rectangles do not have all congruent sides, and thus are not squares.

Product of polynomials can be done by distribution of multiplication over addition. The product of  [tex](2x - 3)(2x^2 + 7x - 1)[/tex] is [tex]4x^3 + 8x^2 -23x + 3[/tex]

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

[tex](2x - 3)(2x^2 + 7x - 1) = 2x(2x^2 + 7x - 1) -3(2x^2 + 7x - 1) \\(2x - 3)(2x^2 + 7x - 1) = 4x^{1+2} + 14x^2 -2x - 6x^2 - 21x + 3\\(2x - 3)(2x^2 + 7x - 1) = 4x^3 + (14 -6)x^2 + (-2 -21)x + 3\\(2x - 3)(2x^2 + 7x - 1) = 4x^3 + 8x^2 -23x + 3[/tex]

It is because when bases are same and there is multiplication, then powers add up, so we have: [tex]a^b \times a^c = a^{b+c}[/tex]

Also, we've

[tex](-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve[/tex]

where -ve, +ve are sign of operands and result.

That's why [tex]2 \times -1 = -2[/tex]

Thus,

The product of   [tex](2x - 3)(2x^2 + 7x - 1)[/tex]  is [tex]4x^3 + 8x^2 -23x + 3[/tex]

Learn more about product of polynomials here:

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Answer:

it is 5 I belive

Step-by-step explanation:

Given radius: [tex]3x^9 y^{11}[/tex]

Formula for area: πr²

Area of circle:

( [tex]\pi 3x^9 y^{11}[/tex] )²

[tex]\pi 3^2x^{9*2 }y^{11*2}[/tex]

[tex]9\pi x^{18}y^{22}[/tex]

Answer: [tex]9\pi x^{18}y^{22}[/tex]

Formula for area: [tex]\pi {r}^{2} [/tex]

Area of circle:

[tex](\pi3 {x}^{9} {y}^{11} {)}^{2} [/tex]

[tex]\pi {3}^{2} {x}^{9}{ \times }^{2} {y}^{11} { \times }^{2} [/tex]

[tex]9\pi {x}^{18} {y}^{22} [/tex]

Answer:

  x ≈ 34.9

Step-by-step explanation:

x is the hypotenuse of the triangle, for which one leg is given. Either the sine or the cosine relation can be used. We choose to use the cosine relation:

  Cos = Adjacent/Hypotenuse

  cos(53°) = 21/x

  x = 21/cos(53°) ≈ 34.9

Answer:

MY ANSWER IS THIS. IS. A. QUIZ.

Step-by-step explanation:

The cost of the apples is a function of their weight is true about the functional relationship shown in the graph. Correct option is c.

In the graph, the horizontal axis represents the weight (in pounds) of the apples, and the vertical axis represents the cost (in dollars) of the apples. As the weight of the apples increases, the cost also increases. This relationship shows that the cost of the apples is dependent on their weight, making it a functional relationship of "cost as a function of weight."

To know more about functional relationship:

https://brainly.com/question/29206785

#SPJ2

10k^3 , 6k^3

k^3 ( 10, 6 )

2k^3 (5, 3)

so 2k^3 is the greatest common factor of both the numbers .

Answer:

greatest common factor: 2k³

Step-by-step explanation:

given 10k³ and 6k³

for gcf just simply break them down:

10k³ = 2 * 5 * k * k * k

6k³ =  2 * 3 * k * k * k

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

Analyse both of them and find similarities:

the similarities are: 2 * k * k * k

so the greatest common factor is 2k³

Answer:

1330

Step-by-step explanation:

Answer:

380

Step-by-step explanation:

40 percent of the amount invested is 380(Profit)

0.4 * 950 =380

Answer:

There are a few ways to solve systems of equations.

If you are looking at a multiple choice question use the ordered pair to plug into the answer choices and whichever one balances out will be your answer. To assist you further I would need more information from the problem.

Step-by-step explanation:

hope it will help you have a great day bye and Mark brainlist if the answer is correct

[tex]kai6417[/tex]

#carry on learning

Answer: B

Step-by-step explanation:

Answer:

B) 9/3 * 2/3

Step-by-step explanation:

B is correct since 9/3 * 2/3 = 18/9 = 2

If you check the other answer choices, they will not be between 2 and 3

Answer:

2^18

Step-by-step explanation:

Every true or false question can be either answered true / false (2 options)
So, there are 2.2.2.2.2... (2^18) ways to answer if a student answers every question.

Answer:

[tex] \frac{12 + x}{4(x + 3)} [/tex]

Step-by-step explanation:

hopes this helps

pls mark me brainest

Answer:

12.5%

Step-by-step explanation:

105 is what percent of 120?

you can use this proportion:

if/of = %/100

in this problem:

is = 105

of = 120

'what percent' = p/100

105/120 = p/100

cross-multiply to get:

120p = 10500

p = 10500/120

p = 87.5

So the electrician used 87.5%, out of 100%, meaning 12.5% went unused

Answer:

The percent of the wire that went unused was 15%.

Step-by-step explanation:

You can set up these equations:

Turn 15% into 0.15

12.5% into 0.125

8.75% into 0.0875

7% into 0.70

Now, the number of wire unused is 15. Since 120 - 105 = 15. So, we can set up these equations to see which percentage it was that got unused:

0.15 x 120 = 18

0.125 x 120 = 15

0.0875 x 120 = 10.5

0.70 x 120 = 84

So, the answer is 15%.

Answer: B

Step-by-step explanation:

[tex] \text{Given a,b,c and d are in GP}[/tex]

[tex] \therefore \frac{b}{a} = \frac{ c}{b} = \frac{d}{c} = r \\ \\ \implies b = ar ,c = br,d = cr \implies \: b = ar,c = (ar)r,d = (br)r \\ \\ \implies b = ar,c = a {r}^{2} ,d = {br}^{2} \implies b = ar,c = {ar}^{2} ,d = (ar)r {}^{2} = a {r}^{3} ...(i)[/tex]

[tex] \text{Now, Consider}[/tex]

[tex]( {a}^{2} + {b}^{2} + {c}^{2} )( {b}^{2} + {c}^{2} + {d}^{2} ) = ( {a}^{2} + {a}^{2} {r}^{2} + ( {a}^{2} {r}^{4} )( {a}^{2} {r}^{2} + {a}^{2} r {}^{2} + {a}^{2} {r}^{4} + {a}^{2} {r}^{6} )[/tex]

[tex] = {a}^{2} (1 + {r}^{2} + {r}^{4} ) {a}^{2} {r}^{2} (1 + {r}^{2} + {r}^{4} ) = a {}^{4} {r}^{2} (1 + {r}^{2} + {r}^{4} ) {}^{2} = [a {}^{2}r(1 + {r}^{2} + {r}^{4}) ] {}^{2} [/tex]

[tex] = ( {a}^{2} r + {a}^{2} {r}^{3} + {a}^{2} r {}^{5} ) {}^{2} = (a. \: ar + ar. \: a {r}^{2} + a {r}^{2} .a {r}^{3} ) {}^{2} [/tex]

[tex] = (ab + bc + cd) {}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \text{[From Equation (i)]}[/tex]

Hope This Helps!!! :)

The given polynomial can be rewritten as factors of the common ratio of

the geometric progression.

Response:

If a, b, c, d are in GP, (a² + b² + c²) × (b² + c² + d²) = [tex]\underline{(a\cdot b + b \cdot c + c\cdot d)^2}[/tex]

The assumed parameters are;

a, b, c, and d for a geometric sequence

Therefore;

[tex]\mathbf{\dfrac{b}{a}} = \dfrac{c}{b} = \dfrac{d}{c} = r[/tex]

Which gives;

b = a·r

c = b·r

d = c·r

Therefore;

c = b·r = a·r²

d = c·r = a·r³

(a² + b² + c²) × (b² + c² + d²) = (a² + (a·r)² + (a·r²)²) × ((a·r)² + (a·r²)² + (a·r³)²)

(a² + a²·r² + a²·r⁴) × ((a²·r²) + (a²·r⁴) + a²·r⁶) = a⁴·r²·(r⁸ + 2·r⁶ + 3·r⁴ + 2·r² + 1)

Which gives;

a⁴·r²·(r⁸ + 2·r⁶ + 3·r⁴ + 2·r² + 1) = a²·r·(r⁴ + r² + 1) × a²·r·(r⁴ + r² + 1)

a²·r·(r⁴ + r² + 1) × a²·r·(r⁴ + r² + 1) = (a²·r·(r⁴ + r² + 1))²

a²·r·(r⁴ + r² + 1) = a²·r⁵ + a²·r³ + a²·r

a²·r = a·b

a²·r³ = b·c

a²·r⁵ = c·d

Therefore;

a²·r⁵ + a²·r³ + a²·r = a·b + b·c + c·d

(a² + b² + c²) × (b² + c² + d²) = (a²·r·(r⁴ + r² + 1))² = [tex]\underline{(a\cdot b + b \cdot c + c\cdot d)^2}[/tex]

Learn more about geometric progression (GP.) here:

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[tex]\text{By the Pythagorean Theorem}\\c^2=6^2+8^2\\c^2=36+64\\c^2=100\\c=\sqrt{100} \\c=10[/tex]

Answer:

2n³ - 3n² - 7n + 3

Step-by-step explanation:

Hi there! Don't worry, polynomials seem hard but you will get them with practice.

I am going to show you 2 methods of multiplying polynomials. These methods are universal, or they work with any polynomial multiplication problem:

This is perhaps the most common method. You distribute 1 value to another or multiply each and every single term.

Let's solve it!

Now, we add up like terms. Like terms should have the same coefficient and should be raised to the same power.

There you have it! This is how you solve with The distributive Property Method.

This is the next universal method, Area modeling.

Area models can be set up by the number of terms we have. In the first polynomial we have three terms:

Just for this method, keeping the positive signs helps.

For the binomial, we have two terms (hence, binomial)

We set up our are model like this, with the terms laid out as side lengths of a rectangle.  (Attachment "A")

Next, we find the area of each individual tile.  (Attachment "B")

Now, we add like terms. Something nice about area models is that most of the time, the like terms are matched up in a diagonal.  (Attachment "C")

We end up with the same answer as before.

-Chetan K

Answer:

5 pounds

Step-by-step explanation:
$70 - $32.55 = 37.45
37.45 ÷ 7.49
= 5

Answer:

About 63,617 ft²

Step-by-step explanation:

[] The area of a circle is equal to πr²

π(225)² ≈ 159,043

[] To find 40%, we can multiply our whole by 40%

-> 40% divided by 100, 0.4, becomes a decimal

159,043 * 0.4 = 63,617

-> Don't forget to add on the units once you are done, this problem was done in feet, since it is an area we used feet squared

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

  9

Step-by-step explanation:

Ron can deliver 300t pounds of mulch in t trips. The number of trips needed to deliver at least 2700 pounds is ...

  300t ≥ 2700

  t ≥ 9 . . . . . . . . divide by 300

Ron needs to make at least 9 trips to deliver at least 2700 pounds of mulch.