Using the number line above, write the integer that each point represents

Pls answer number 3

t = (3m -1) / (m - 1)

The subject of a formula is the variable that is being worked out. It can be recognized as the letter on its own on one side of the equals sign.

In order to change the subject of a formula, or rearrange a formula, items in the formula need to be rearranged so a different variable is the subject. Knowledge of solving equations and inverse operations is very useful.

Given formula.

m = t + 1 / t - 3

m ( t - 3) = t - 1

mt - 3m = t - 1

mt - t = 3m - 1

t(m - 1) = (3m - 1)

t = (3m -1) / (m - 1)

Hence, the formula becomes t = (3m -1) / (m - 1).

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Answer/Step-by-step explanation:

Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.

Part B: a(t) = y.

a(t) = a + 100t

Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.

Part D: b(t) = y.

b(t) = b(1.1)^t

Part E: a(20) = a + 100(20)

1100 + 2000 = 3100

b(20) = b(1.1)^20

1100(1.1)^20

= 7400

There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.

Hope this helps!

Answer:

y=4

x=2

Step-by-step explanation:

y=4

x=2

I think it's right..

Hope I helped!

Answer:

x - intercept = 2

y - intercept = 4

Answer:

36 x 2 = 72

36 divide by 2 = 18

72+18=90

90 is the answer

Step-by-step explanation:

Answer:

Part A: m+1.37=7.9

Part B: 6.53 miles are left to be repaired.

Step-by-step explanation:

Given,

Length of repaired part = 1.37 miles

Total length to be repaired = 7.9 miles

Miles left to be repaired = m

Part A:

Create an equation to show the relationship between the number of miles repaired and the number of miles left to be repaired, m.

Miles left to be repaired + Length of repaired part = Total length to be repaired

m+1.37=7.9

Part B

How many miles are left to be repaired?

Subtracting 1.37 from both sides

6.53 miles are left to be repaired.

Keywords: length, subtraction

Step-by-step explanation:

Answer:

Kindly refer to explanation.

Step-by-step explanation:

Given that:

A,B and C are 3 points on circumference of circle with centre O.

AOB is diameter.

Kindly refer to the attached image.

To prove:

[tex]\angle ACB = 90^\circ[/tex]

Solution:

Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].

Construction: Join point  A with centre O.

Considering [tex]\triangle AOC[/tex]:

Side AO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore, [tex]\angle ACO=\angle A=x[/tex]

Considering [tex]\triangle BOC[/tex]:

Side BO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore, [tex]\angle BCO=\angle B=y[/tex]

[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)

Now, in [tex]\triangle ABC:[/tex]

Using angle sum property of triangle:

[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]

By equation (1):

[tex]\angle ACB = 90^\circ[/tex]

Hence proved.

Answer:

y - 5 = -4(x + 1)

Step-by-step explanation:

The point-slope form is y - k = m(x - h).  The point is (h, k):  (-1, 5) and the slope is -4.

Here we have y - 5 = -4(x + 1)

The required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
Put the values in the above equation of the line
y - 5 = -4 (x - (-1))
y - 5 = -4 (x + 1)

Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).

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Answer:

[tex] \underline{the \: sides \: are} \: \to \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed{ n= 5}} \\ \:\underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed{ n= 9}} \\ \: [/tex]

Step-by-step explanation:

[tex] \\ the \: sum \:o f \: the\: interior \: angles \: of \: aregular \: polygon \: \\ is \: generaly \: given \: by \to \: 180(n - 2)\\ \underline{ \boxed {case \:( 1) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 360°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 360 \\ n - 2 = 2 \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed {case \:( 2) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 540°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 540 \\ n - 2 = 3 \\ \underline{ \boxed{ n= 5}} \\ \: \underline{ \boxed {case \:( 3) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 900°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 900 \\ n - 2 = 5 \\ \underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed {case \:(final ) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 1260°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 1260 \\ n - 2 = 7\\ \underline{ \boxed{ n= 9}} \\ \: [/tex]

♨Rage♨

Answer:

4,5,7,9

Step-by-step explanation:

Got it right on edge

i would love to help but i just need free points

Step-by-step explanation:

Answer:

Expression

Step-by-step explanation:

The definition of an Algebraic Expression is this:

Algebra is an interesting and enjoyable branch of mathematics in which numbers, shapes, and letters are used to express problems.

It can not be an Algebraic Equation because that only includes one variable.

I Hope That This Helps! :)

Answer:no

Step-by-step explanation:

Because there’s two number 9’s for the x values

Answer:

no because x = 9 has two y coordintates, and in a function every x value can only have one y value.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010

Answer:

2.5 × t = 2.5 t

Step-by-step explanation:

Answer:

sin x, –1

Step-by-step explanation:

did on edge

Answer:

60.71

Step-by-step explanation:

Given that:

Consumption of poultry per capita is modeled by:

y=-.2125t^2 + 2.615t+56.33 ; t = 0 corresponds to 1990

Per capita poultry consumption in 1992;

1992 ; t = 2

y=-.2125t^2 + 2.615t+56.33

Put t = 2 in the equation

y=-.2125(2)^2 + 2.615(2) +56.33

y = -.2125(4) + 2.615(2) + 56.33

y = - 0.85 + 5.23 + 56.33

y = 60.71

Answer:

3

Explanation:

For every 3 cupcakes that Edgar gets, Fred gets 1. So, if Edgar gets 9, Fred gets 3.

Answer:

c(n) = 4n +20

let m = c(n)

m= 4n +20

make n the subject

m -20 =n

4.

inverse function of c(n)= n-20

4

It is a must that one replaces the m with the n in order to get the final answer

Answer:

v + u - 4

Step-by-step explanation:

Answer:

a. angle 6 and angle 7

b. angle 6 and angle 8

c. angle 3 and angle 1

Step-by-step explanation:

linear pair is two angles that share a base and and add up to 180

vertical angles is the pair of opposite angles formed by two intersecting lines

congruent is the same measure

Answer:

see explanation

Step-by-step explanation:

(a)

A linear pair of angles, are adjacent to each other and sum to 180°

There are 8  linear pairs in the diagram, they are

1 and 2 / 2 and 3 / 3 and 4 / 4 and 1 / 5 and 6 / 6 and 7 / 7 and 8 / 8 and 5

(b)

There are 4 vertical angles in the diagram

1 and 3 / 2 and 4 / 5 and 7 / 6 and 8

Note that vertical angles are congruent

Other congruent angles are

2 and 6 / 3 and 7 / 1 and 5 / 4 and 8 ( All corresponding angles )

4 and 6 / 3 and 5 ( are Alternate angles )

Answer:

Step-by-step explanation:

Area formula

Then

Answer: B

Step-by-step explanation: You just multiplying 25 with 10 and w which can be simplified as 24(w+10) and adding with the 13.5 x 10 and 13.5 x w, which can be simplified as 13.5(10+w)

Answer:

B.)

Step-by-step explanation:

A rational number is a number with no repeating decimals or decimals that go on “forever” like pi.  An expample of a rational number is 2 where 2.3333333... is not a rational number.  Pi isn’t a rational number either since forth there is no known end to that.  

So, when solved:

A.) = 1.58113883...  (irrational)

B.) = -8 (rational)

C.) = 8.94427191... (irrational)

D.) = 3.794733192... (irrational)

I hope you see the pattern.  Hope this helps!

Answer:

Aniyah does not have enough for 14 cups, and needs 1 1/6 more.

Using the required arithmetic concept, we can conclude that Aniya needs 7/6 more cups.

Representing the problem thus:

4 cups of trail = 2/3 cups of raisins

14 cups of trails = x

Cross multiply

4x = (2/3) × 14

4x = 28/3

x = (28/3) ÷ 4

x = (28/3) × (1/4)

x = 7/3

Cups of raisins Aniya has = 1 1/2 = 3/2

Extra cups needed = 7/3 - 3/2 = 7/6 cups

Therefore, Aniya does not have enough, she needs 7/6 more cups.

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Answer:

B. (2,8), because both equations intersect at this point

Answer:

B. (2,8), because both equations intersect at this point

Step-by-step explanation:

Why is it answer B? Because of Enlarging the graph, we find that the intersection of the two lines drawn is at point (2,8). Hence, the solution of the equation is (2,8) because the graphs of the two lines intersect at this point.

Answer:

x=15

y=63

Step-by-step explanation:

Answer:

Quadrant III

Step-by-step explanation:

because in quadrant III there is both negative terms

Answer:

72.5%

Step-by-step explanation:

Lets make his score a percentage: 58/80

Now covert it to a percentage: 58/80 = x/100

Cross multiply: 80x = 5800, x = 145/2

Divide 145 by 2: 72 1/2

Answer is 72.5%

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Answer:

The rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

Given

[tex]25x - 4y = 50[/tex]

Required

Determine the rate of change of y w.r.t x

[tex]25x - 4y = 50[/tex]

First, make y subject of formula

[tex]4y = 25x- 50[/tex]

Divide through by 4

[tex]y = \frac{25x}{4} - \frac{50}{4}[/tex]

[tex]y = \frac{25x}{4} - 12.5[/tex]

Next, we differentiate the above w.r.t to x

The result of the differentiation is the solution to the question

[tex]y' = 1 * \frac{25x^{1-1}}{4} -0[/tex]

[tex]y' = 1 * \frac{25x^0}{4}[/tex]

[tex]y' = 1 * \frac{25*1}{4}[/tex]

[tex]y' = \frac{25}{4}[/tex]

Hence, the rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

Rate of change of a function with respect to a variable is called derivative of that function with respect to that variable .

Here given relation is 25x-4y=0

[tex]\Rightarrow 4y=25x\\\\\Rightarrow y=\frac{25x}{4}[/tex]

We have to calculate rate of change of y with respect to x so we will calculate derivative of y with respect to x.

we can calculate derivative of y with respect to x as

[tex]\frac{dy}{dx}= \frac{d}{dx} (\frac{25x}{4})\\\\[/tex]

As 25/4 is constant we can take it out from derivative function as it is

[tex]\frac{dy}{dx}= (\frac{25}{4})\frac{dx}{dx}\\\\[/tex]

And we know derivative of a variable with respect to itself is 1

so

[tex]\frac{dy}{dx}= (\frac{25}{4})\times 1\\\\ \frac{dy}{dx}= \frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

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Answer:

Turtles to dogs and cats: 12,8,3

dogs to turtles: 8,12