Which function is the same as the linear function represented by the table ?

Answer:

Gradient: m = 3

Step-by-step explanation:

m = change in y/change in x

m = [tex]\frac{Y2-Y1}{X2-X1}[/tex]

m = [tex]\frac{9-(-3)}{6-(2)}[/tex]

m = 12/4

m = 3

Answer:

C(t)=25+2t

C(1.5)=25+2(1.5)=28

$28 for 1.5 minutes rent

A function C(t) represents the cost of renting a canoe for t hours is C(t)=25+2t and the cost for 1.5 minutes will be $28.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Given that the rental charge is $25 plus $2 for every 20 minutes of rental.

The function formed for the given data will be:-

C(t)=25+2t

At 1.5 minutes the rent will be calculated as below:-

C(1.5)=25+2(1.5)=28

Therefore, the function C(t) represents the cost of renting a canoe for t hours is C(t)=25+2t, and the cost for 1.5 minutes will be $28.

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Finds how much is needed for 1 costume by dividing 6 3/4 by 3

6 3/4 /3 = 2 1/4 yards per costume.

Multiply yards per costume by 7:

2 1/4 x 7 = 15 3/4 yards total needed.

[tex]\\ \rm\hookrightarrow 6\dfrac{3}{4}yards=3costumes[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\div 3[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\times \dfrac{1}{3}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{27}{7}yards[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{27}{7}\times 7[/tex]

[tex]\\ \rm\hookrightarrow 27yards[/tex]

3√20+2√125 = 3√(4×5) + 2√(5×5×5)

=6√5+10√5

=16√5

This is your answer .

Answer:

I can't see the question

Step-by-step explanation:

Take a proper picture

Based on the definition of complementary angles:

Measure of angle 7 = 29°

Measure of angle 5 = 61°

Complementary angles have a sum that is equal to 90 degrees. If two angles are complementary, then their sum = 90 degrees.

Angle 7 and angle 8 are complementary [given]

Angle 5 and angle 6 will also be complementary

Angle 5 ≅ angle 8 [given]

Angle 7 will also be congruent to angle 6

Measure of angle 6 = 29° [given]

Measure of angle 7 = 29°

Measure of angle 5 + measure of angle 6 = 90 degrees

Substitute

Measure of angle 5 + 29° = 90°

Measure of angle 5 = 90° - 29°

Measure of angle 5 = 61°

Therefore, based on the definition of complementary angles:

Measure of angle 7 = 29°

Measure of angle 5 = 61°

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Answer:

[tex](a-1)(a^2+a+2)\\[/tex]

Hi,

Step-by-step explanation:

[tex]Remember:\ x^3-y^3=(x-y)(x^2+xy+y^2)\\a^3-1+a-1\\\\=(a-1)(a^2+a+1)+1(a-1)\\\\=(a-1)(a^2+a+2)\\[/tex]

Answer:

have a great day

god bless you

Answer:

D

Step-by-step explanation:

edge

If 101 is given in base b, then in base 10 you have

[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]

For instance, if b = 2, then

101₂ = 2² + 1 = 5₁₀

If b = 3, then

101₃ = 3² + 1 = 9₁₀

If b = 4, then

101₄ = 4² + 1 = 17₁₀

The answer depends entirely on the base of the given number.

Answer:

1)

AB = 23-18.9

AB= 4.1

~~~~~~~~~~~~~~~~~

2) 5x+15 = 50

5x=35

x=7

Step-by-step explanation:

Answer:

2 cups of yogurt

Step-by-step explanation:

1=1/2

4=4×(1/2)

=2

Answer:

k = 12

Step-by-step explanation:

The constant of proportionality k is the ratio

k = [tex]\frac{laps}{swimmers}[/tex]

Use any ordered pair from the table to find k

Using number of laps = 240, number of swimmers = 20 , then

k = [tex]\frac{240}{20}[/tex] = 12

Answer:

your answer is 4x+4

Step-by-step explanation:

x^2-1) x^2+4x+3 (1

x^2 -1

(-) (+)

4x+4

quotiend is 1

remainder is 4x+4

Answer:

your answer is 7x/-1

Step-by-step explanation:

x^2 cancels out x^2

4+3=7

therefore your answer is 7x/-1

Step-by-step explanation:

the answer is in picture

the cost price is 50

Answer:

Step-by-step explanation:

Solve for c:

Answer:

D

Step-by-step explanation:

Hey there! I'm happy to help!

Our goal here is to write the function (equation) that represents what Carlos has graphed. This is a line, so we can use the slope-intercept equation to represent it.

Our slope-intercept equation is y=mx+b, where m is the slope and b is the y-intercept.

If we look at the graph, we see that the the line intersects the y-axis at the point (0,0), also known as the origin, so our y-intercept is 0.

To find our slope, we need to first find two points on the line. Well, we already have (0,0). The next point on the line that seems to have integers is (7,5). This means that from (0,0) our rise is 5 and our run is 7, and since slope is rise over run, that means that our slope is 5/7 (for every one unit we go over, the line goes up 5/7).

Now, we just throw these numbers into the equation.

y=5/7x

or

f(x)=5/7x (if it needs to be in that function format)

Have a wonderful day and keep on learning! :D

Answer:

0.31

Step-by-step explanation:

(2/7)-(3/8)+(2/5)

Answer:

LCM: 7,8,5 = 280

80/280 - 105/280 + 112/280

87/280

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

Formal geometric reasoning gives better information than informal geometric reasoning.

Informal Geometry is defined as the aid for understanding geometry via questioning, practices, and conjecture. Subjects include stature, balance, isometries, and proportions, with scaling as a major theme.

Formal geometry is defined as geometric explanations that are ways to formally make an opinion about a particular formation or figures in the geometrical entity, a formal geometric explanation is a detailed way to deliver that specific figures or domains which are congruent.

An an conjecture is made often using observation and detail given on the basis of logical observation is termed informal geometric reasoning,
While in formal geometric reading calculation-based approximation conjectures gives better detail of the informal geometric reasoning.

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[tex]\large\bf{\red{ \implies}} \tt \: \cancel\frac{15}{9} \\ [/tex]

[tex]\large\bf{\red{ \implies}} \tt \: \frac{5}{3} \\ [/tex]

Decimal Form - 1.6667

Answer:

B

Step-by-step explanation:

Answer:

8a - b + 6c

Step-by-step explanation:

Just combine like terms.

5a + 3a = 8a

-2b + b = -b

7c - c = 6c

Answer:

A 1600

B 2400 hope it helps

I hope it helps you

Answer:

[tex]y = 0 \: .x = \frac{2}{3} y[/tex]

Step-by-step explanation:

[tex] \frac{2 {x}^{2} - 5 }{3xy - 2 {y}^{2} } [/tex]

[tex]3xy - 2 {y}^{2} = 0[/tex]

[tex]y \times (3x - 2y) = 0[/tex]

[tex]y = 0 = 3x - 2y = 0[/tex]

[tex]y = 0 = 3x = 2y[/tex]

[tex]y = 0[/tex]

[tex]x = \frac{2}{3} y[/tex]

[tex]y = 0. \: x = \frac{2}{3} y[/tex]

Answer:

Step-by-step explanation:

Well in London The time is like 12 and stops there it don't go to 13:00 like New York does so basically I'm saying London as a regular time and New York has the Military Time!

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Explanation:

x = exterior angle

x+108 = interior angle, as its 108 degrees larger than the exterior

The two angle pairs add up to 180, since they form a straight line

exterior+interior = 180

x+(x+108) = 180

2x+108 = 180

2x = 180-108

2x = 72

x = 72/2

x = 36

The exterior angle is 36 degrees which means we have n = 360/x = 360/36 = 10 sides. This polygon is a decagon.

Answer:

Step-by-step explanation:

Let the number of sides is n.

We know the sum of interior angles is:

So each interior angle is:

We also know the sum of exterior angles is 360, so each exterior angle is:

We are given the difference of the interior and exterior angles:

Solve the equation for n:

The polygon has 10 sides