Complete both transformations below. Then enter the final coordinates of the figure. A (1.-2)
B (4,-1)
C (5.-3)
1) < -2.4 >
2) Dilate K = 3​

Answer: 8

Step-by-step explanation:

7.69 to the nearest whole number is 8

Answer:

When you round the number to 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sᴏ ᴛʜᴇ value of x= -4

x = -4

Step-by-step explanation:

Solution:-

[tex]{ \blue{ \sf{f(x) = - 4x + 8}}}[/tex]

In order to find the value of x, put 24 in the place of f(x) (given) then,

[tex]{ \blue{ \sf{24 = - 4x + 8}}}[/tex]

[tex]{ \blue{ \sf{24 - 8 = - 4x}}}[/tex]

[tex]{ \blue{ \sf{16 = - 4x}}}[/tex]

We should find the value of x. So divide bith the sides by -4. then,

[tex]{ \blue{ \sf{ - \frac{16}{4} = \frac{ - 4}{ - 4} x}}}[/tex]

[tex]{ \bold{ \boxed{ \red{ \sf{ -4 = x}}}}} \: (or) \: { \bold{ \boxed{ \red{ \sf{x = - 4}}}}}[/tex]

Answer: [tex]f(k+1)=2k-2[/tex]

Step-by-step explanation:

Substituting [tex]k+1[/tex] for [tex]x[/tex],

[tex]f(k+1)=2(k+1)-4\\\\f(k+1)=2k+2-4\\\\f(k+1)=2k-2[/tex]

Answer:

a) y = 0

Step-by-step explanation:

Given equation,

→ 3y - 7(y + 5) = y - 35

Now the value of y will be,

→ 3y - 7(y + 5) = y - 35

→ 3y - 7y - 35 = y - 35

→ -4y - y = -35 + 35

→ -5y = 0

→ y = 0/-5

→ [ y = 0 ]

Hence, the value of y is 0.

Answer:  81

Step-by-step explanation:

Let's start with what we know:

Time spent each evening = 1/3 of an hour

Time spent: 27

We need to turn the time spent into minutes so We will do

27 * 60 = 1620 minutes

As well as we need to turn the 1/3 of an hour into minutes so we will do

1/3 * 60 = 20 minutes

So now we have these numbers

You can pick any letter but I will pick x

We can do 20x = 1620 (Time spent times number of evenings equals time spent)

Then after that you just divide 20x/20 and 1620/20

Then getting x = 81.

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Answer:

range

Step-by-step explanation:

Answer:

x = -12

Step-by-step explanation:

Get X all on one side

7x - 8x = 8x - 8x + 12

-x = 12

x = -12

Answer:

x = -12

Step-by-step explanation:

To solve this, you will need to get all of the variables on one side, and the 12 on the other. You will subtract 8x from both sides to get the equation -x = 12. You can then divide both sides by -1 to get the x alone, and thus you get x = -12.

The amount of honey that Bert’s new beehive hold would be; 200.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given data that the Number of frame beehive = 6

The Pound of honey = 40

The Current Frame beehive = 30

First step is to formulate an equation and then use the formulated equation;

40 × 30 ÷ 6

Hence, 40 × 5

= 200 honey

Therefore, the number of honey would be; 200.

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The upper limit is 0.79

The class interval's upper limit is its highest value. Similarly, the lower limit is the class interval's smallest value.

Given that n = 200 and standard deviation  σ = 0.025

σ = (√n/√n)  = 0.025

Now calculate p

P = defectives/total inspected

= 145/200

P = 0.72

Q= 1-p

= 1- 0.72

= 0.18

Now calculate the upper limit

UCL = p – (-3 x σ)

= 0.72 – ( -3 x 0.025)

= 0.72 – (-0.075)

= 0.72 + 0.075

= 0.795

= 0.79

Therefore the upper limit is 0.79

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There are no pair of numbers that multiply to 36 and add up to -7

The factors of number refers to any of various numbers multiplied together to form some whole. For instance, 3 is a factor of 12, as are 2, 4 and 6.

The pairs of factors of 36 that multiply to 36 are:

From the pair of numbers above, none add up to -7

Therefore, there is no pair of numbers whose product is 36 and sum is -7

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3(y-9)

3y-27

Factorizing

3(y-9)

For a proportional relationship between the volume of flour used (in cups), x, and the number of baked muffins, y, the constant of proportionality is 4.

Constant of proportionality, also known as constant ratio or constant rate, refers to is the ratio that relates two given values in a data set that is represented as a proportional relationship. When two parameters are proportional, either directly or indirectly, the relationship is expressed as a = kb or a = k/b, where k indicates the relationship between the two variables and is known as the proportionality constant. In the given data, the proportionality constant is:

k =b/a = 8/2 =12/3 = 16/4 = 20/4 = 4

Hence, the proportionality constant for the given data is 4.

Notes: The question is incomplete. The complete question is: Brian loves to bake blueberry muffins for his friends and family. There is a proportional relationship between the volume of flour brian uses (in cups), x, and the number of muffins he bakes, y. What is the constant of proportionality. (Refer to the table).

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An equation to determine the original price of the lawnmower discounted at 9% to $1,517.74 is B. y = 0.91x.

An equation summarizes a mathematical statement that equates two or more mathematical expressions.

Equations operate with values, numbers, and variables, using the equation symbol (=) and mathematical operands to establish the equality of values.

Discount offered = 9%

Amount paid for a lawnmower = $1,517.74

Original price = x

Discounted price, y = 0.91x

Y = 0.91x

1,517.74 = 0.91x

x = 1,667.85

Thus, the original price of the lawnmower is determined by Equation B.

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Step-by-step explanation:

it is really simple :

every x is increased by 2, every y is decreased by 4.

C = (-4, 2) -> C' = (-2, -2)

R = (-5, -1) -> R' = (-3, -5)

T = (-1, 1) -> T' = (1, -3)

(a) -0.255 is the probability that a randomly selected credit card holder has a credit card balance less than $2500. (b) You randomly select 25 credit card holders. 0.0228 is the probability that their mean credit card balance is less than $2500.

Let us pull out the critical elements

Population: Normally distributed with mean of 2870

population standard deviation = 900 standard deviation of the sample mean (standard error) is 900 / √25. or 180

As population sigma is known, we do not have apply any corrections

P(xbar < $2500) = ?    

Since μ and σ are known (population mean and standard deviation) we can use a simple Z test.

Ztest = (2500-2870 )/ 180  or -370/180 = -2.055

As this is very close to -2 one can use the rule of thumb for probability within ± 2 sigma  being 95.44% to get a close estimate.   If the area between -2 and 2 sigma = .9544 then the area outside = .0456.  Half of this (the amount under the curve LESS THAN -2) would be .0228

Using a calculator or computer for an exact answer we find (using a TI-83/86):

nmcdf(-9E6,2500,2870,180) = .0199

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The required expression for the laundry service is y = 0.89x.

Given that,
The total cost for laundry service, in dollars, depends on the weight of the laundry, in pounds. This relationship is proportional, as it costs $22.25 for 25 pounds of laundry and $36.49 for 41 pounds of laundry.

proportionality is defined as between two or more sets of values, and how these values are related to each other in a sense are they directly proportional or inversely proportional to each other.

here
Let the pound of laundry be x and the charge corresponding to the pound of the laundry be y.
According to the question,
y ∝ x
y = kx
Put x = 25 and y = 22.25
22.25 = k 25
k = 0.89
Put back k in the proportional equation,
y = 0.89x

Thus, the required expression for the laundry service is y = 0.89x.

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Answer:

Step-by-step explanation:

The required expression for the laundry service is y = 0.89x.

Given that,

The total cost for laundry service, in dollars, depends on the weight of the laundry, in pounds. This relationship is proportional, as it costs $22.25 for 25 pounds of laundry and $36.49 for 41 pounds of laundry.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in a sense are they directly proportional or inversely proportional to each other.

here

Let the pound of laundry be x and the charge corresponding to the pound of the laundry be y.

According to the question,

y ∝ x

y = kx

Put x = 25 and y = 22.25

22.25 = k 25

k = 0.89

Put back k in the proportional equation,

y = 0.89x

Thus, the required expression for the laundry service is y = 0.89x.

Answer:

Step-by-step explanation:

the answer is 86

hope it helps!

(-_-)

Problem 13

Reason:

If a > 0, then the statement would always be true. However, if 'a' was negative, then the statement is false.

For example, if a = -2 then:

[tex]a^{-1} = (-2)^{-1} = \frac{1}{(-2)^1} = -\frac{1}{2} = -0.5[/tex]

In short,

[tex]a^{-1} = -0.5 \ \ \text{ when } a = -2[/tex]

This is one of infinitely many counter-examples to prove the original statement isn't always true.

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

Problem 14

Reason:

The rule to use here is [tex]a^b*a^c = a^{b+c}[/tex]

We add exponents b and c, while the base 'a' stays the same the whole time.

In this problem we have: [tex]3^n*3^{-n} = 3^{n+(-n)} = 3^{n-n} = 3^0 = 1[/tex]

Therefore [tex]3^n*3^{-n} = 1[/tex] is always true regardless of what you replace n with. The variable n doesn't have to be an integer.

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

Problem 15

Reason:

Let's say p = -1 is plugged into the expression

[tex]6^p = 6^{-1} = \frac{1}{6^1} = \frac{1}{6} \approx 0.1667[/tex]

which is a positive outcome showing that [tex]6^p > 0[/tex] doesn't automatically guarantee that p > 0. Feel free to try other negative values as counter-examples. Also p = 0 works as well. It turns out that [tex]6^p[/tex] is always positive regardless of what real number you use for p.

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

Problem 16

Reason:

The rule used here is [tex]a^{-b} = \frac{1}{a^b}[/tex]

An equivalent rule is [tex]\left(\frac{a}{b}\right)^{-c} = \left(\frac{b}{a}\right)^c[/tex]

The idea is to flip the fraction to turn the exponent positive.

Examples: [tex]2^{-5} = \frac{1}{2^5} \ \ \text{ and } \ \ \left(\frac{7}{9}\right)^{-3} = \left(\frac{9}{7}\right)^{3}[/tex]

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

Problem 17

Reason:

This is similar to problem 15 in that [tex]2^m[/tex] is always positive regardless if m is negative, zero, or positive. It might help to graph out [tex]y = 2^x[/tex] and see that the curve never dips below the x axis.

5050

Step-by-step explanation:

1+2+3+.....+100 add all the numbers and u get that

The time taken, to the nearest minute, by the element to decay until only 30 grams of it are left is 14 minutes.

An element with an initial mass of 200 gram, decays by 12.6% per minute. We need to find out, to the nearest minute, how long it took for the element to decay until only 30 grams were left.

In exponential decay, a quantity diminishes slowly at first and then rapidly. The exponential decay formula is used to calculate population decay (depreciation), and it may also be used to calculate half-life (the amount of time for the population to become half its size).

Let the initial mass, remaining mass, decay rate, and time taken be represented by the variables M, m, d, and t, respectively. We can form the equation given below.

m = M(1 - d)^t

30 = 200(1 - 0.126)^t

3/20 = (0.874)^t

Take the logarithm on both sides of the equation.

log(3/20) = t × log(0.874)

t = log(3/20)/log(0.874)

t = 14.087

t ≈ 14

Hence, the time taken, to the nearest minute, by the element to decay until only 30 grams of it are left is 14 minutes.

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Constant of variation, k of the direct variation is 8/5.

Equation -> y = kx

Point (x,y) = (5,8)

Putting the value in the equation,

8 = 5k

k = 8/5

Hence, k = 8/5.

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Answer:

Prime

Step-by-step explanation:

Because this number is only divisible by itself and no other number.

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies with "x"}}{y=kx}\hspace{5em}\textit{we know that} \begin{cases} y=-4\\ x=10 \end{cases}\implies -4=k(10) \\\\\\ \cfrac{-4}{10}=k\implies -\cfrac{2}{5}=k\hspace{10em}\boxed{y=-\cfrac{2}{5}x} \\\\\\ \textit{when x = 2, what is "y"?}\qquad y=-\cfrac{2}{5}(2)\implies y=-\cfrac{4}{5}[/tex]

Function g(x) have 3 x intercepts.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The function f(x) = (x + 5)(x-3) is dilated by x to produce the function

the function g(x) = x f(x).

A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size

g(x)=x(x + 5)(x-3)

=x(x²-3x+5x-15)

=x(x²+2x-15)

x=0, x=-5 and x=3

The function g(x) have 3 x intercepts.

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Javieratta worked for a total of 32 hours in the week of June to earn an amount of 304 dollar.

Javieretta earns $9.50 each hours she works at camp clap happy.

She earned $304 in week of june and $247 during a week in july.

Let us assume that she works X hours.

So, using unitary method, we can write,

X times the amount she earns in one hour = Earning in the week of june.

X(9.50) = 304

X = 304/9.50

X = 32 hours.

So, she worked for a total of 32 hours in the camp clap happy summer vacation.

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Answer:

4/6 means 2/3 it is most likely 0, 67 or 0, 66.

Step-by-step explanation:

The dimension for the enclosure that is most economical to construct will be length=11.13 feet and width=27.85 feet.

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

A=l*b

=310

b=310/l

total cost=(8b+4l+16l)

=8b+20l

=8*310/l+20l

t=2480/l+20l

t'=20-2480/l²

t'=0

20l²=2480

l²=124

l=11.13 feet

b=310/11.13

b=27.85 feet

The enclosure's length and width, which add up to 11.13 feet and 27.85 feet respectively, will be the most cost-effective dimensions to build.

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The probability that Laura does not win the prize is 119 / 175.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

Total number of raffle rickets to be sold is 350.

The number of tickets bought by Laura is 12.

Since, the probability of an event is defined as the ratio of favorable outcome to the total outcomes, the probability of winning the prize is,

P = 12 / 350

Thus, the probability of not winning the prize is,

1 - 12 / 350

= 338 / 350

= 119 / 175

Hence, the probability of not winning a prize is 119 / 175.

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