Find x
80°
x+51
X =
OK
60°
ALGEBRA

After simplification, the value of y is 7 when x=9.

In the given question, if y varies inversely as x and y=3 when x=21, find y when x=9.

From the given question y varies inversely as x i.e.

y ∝ 1/x

When we remove the inversly sign then their is one variable should be added. Let the variable should be k.

Now the expression is

y = k/x

As we know that y=3 when x=21.

Now putting the value.

3 = k/21

Multiply by 21 on both side, we get

k = 3*21

k = 63

Now the value of k is 63.

Now finding the value of y when x=9

y = 63/9

y = 7

Hence, the value of y is 7 when x=9.

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The graph of x - y = 6 that shows the x and y-intercepts is in the attachment below.

For a linear graph, the x-intercept is point where the line intercepts the x-axis of a graph, of which the value of y is zero at this point. On the other hand, the y-intercept is the point where the line intercepts the y-axis and the value of x at this point is zero.

Given the equation x - y = 6, determine the x and y-intercepts.

To find the x-intercept, substitute y = 0 into the equation x - y = 6:

x - 0 = 6

x = 6

The x-intercept is (6, 0).

To find the y-intercept, substitute x = 0 into the equation x - y = 6:

0 - y = 6

-y = 6

y = -6

The y-intercept is (0, -6).

This means the line will cut the x-axis at 6, and also cut the y-axis at -6. The graph of the equation x - y = 6 is shown below.

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Answer:

3 hours

Step-by-step explanation:

The robots are powered coffee alone. They use 2 bags of coffee each day. how long will 1/4 of a bag last them?

1/4 = 0.25

0.25 / 2 = 1/8 or 0.125

0.125 * 24 hours = 3 hours

Answer: M = 1876 - 30n  will give the amount of Money (M) remaining after n months of withdrawing exactly $30 per month, PROVIDED NOTHING ELSE IS EVER ADDED TO OR WITHDRAWN FROM THE ACCOUNT.  (Not very realistic.)

Use n=6 to provide the balance after 6 months.

Step-by-step explanation:

Michael drinks 33.5 fl oz more fluid ounces than Lydia.

Given in question,

30 ml = 1 fl oz

  1 ml = 1/30 fl oz

1 bottle = 335 milliliters

No. of bottles of water Michael drank = 6

                                                              = 6 * 335 milliliters

                                                              = 2010 milliliters

                                                              = 2010/30 fl oz

                                                              = 67 fl oz

No. of bottles of water Lydia drank = 3

                                                           = 3 * 335 milliliters

                                                           = 1005 milliliters

                                                           = 1005/30 fl oz

                                                           = 33.5 fl oz

Therefore, 67 - 33.5 = 33.5

Hence, Michael drinks 33.5 fl oz more fluid ounces than Lydia.

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1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.

The two numbers given are:

1.88 times 10²

= 1.88 × 10²

And

2.35 times 10⁻¹

= 2.35 × 10⁻¹

We need to find that how much time is 1.88 × 10² greater than 2.35 × 10⁻¹.

We will use division for the same.

So, we get that:

= 1.88 × 10² / 2.35 × 10⁻¹

Using the rules of exponents and simplify the expression, we get that:

= 0.8 × 10 ²⁺¹

= 0.8 × 10³

= 0.8 × 1000

= 800

Therefore, we get that, 1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.

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The equation of the parabola is f(x) = 7(x-3)^2+5.

Given:

The equation of the parabola that has the same shape has f(x) = 7x^2 but with vertex(3,5) in the form of f(x) = a(x-h)^2 + k.

If the parabola has same shape then its a values are same.

so f(x) = 7x^2

here a = 7

so the equation with vertex (3,5) also has a value is 7.

(h,k) = (3,5)

f(x) = a(x-h)^2+k

= 7(x-3)^2 + 5.

Therefore the equation of the parabola is f(x) = 7(x-3)^2+5.

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In the simple linear regression equation , the term b0 represents b) Estimated intercept

The expected mean value of Y when all X=0 is the intercept, also referred to as the constant. Create a regression equation with X as the only predictor to begin. The expected mean value of Y at that value is the intercept in the event that X occasionally equals 0. When x is 0, the projected value for y—the intercept of the regression line—is simply 0. A line's slope and intercept can be expressed in terms of the equation y = slope x x + intercept. The Value of Interception The point where the function crosses the y-axis is known as the intercept and is frequently denoted as a constant. In some analyses, removing the intercept and reducing the regression line to Y = bX + error causes the regression model to only become significant.

Given,

In the simple linear regression equation , the term b0 represents:

b) Estimated intercept

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Answer:

Step-by-step explanation:

1. Product means multiplying sign in math

23*39=897

2. Answer: 897

Answer:

arc RP = 136°

Step-by-step explanation:

the inscribed angle PQR is half the measure of its intercepted arc, then

arc PR = 2 × ∠ PQR = 2 × 68° = 136°

Answer:

[tex]3\frac{3}{4}[/tex] seconds

Step-by-step explanation:

So you travel 800 feet in 10 seconds. If you divide that by 2, then you travel 400 feet in 5 seconds, or 100 feet in 5/4 seconds. Multiply by 3 to get 300 feet in 15/4 seconds, or 15 feet in [tex]3\frac{3}{4}[/tex] seconds.

Answer:

-4x(x-3)

Step-by-step explanation:

-4x^2+12x

divide by -4x

-4x(x-3)

Answer: -8

Step-by-step explanation:

Assuming that [tex]x[/tex] is the wind speed and [tex]y[/tex] is the wind chill, we can set [tex]x=58[/tex].

[tex]y=-0.36(58)+12.6 \approx -8[/tex]

Answer:

4f+10

Step-by-step explanation:

multiply the 2 to both the numbers in the parenthesis. 2 times 2f is 4f and 2 times 5 is 10

Answer:

Step-by-step explanation:

Finding Slope:

Finding Y-Intercept:

Answer:

1.  Slope = 20

2.  y-intercept = 60

Step-by-step explanation:

The slope of the line is found by dividing the change in y by the change in x or "rise over run":

[tex]\implies \textsf{slope}\:(m)=\dfrac{\textsf{change in $y$}}{\textsf{change in $x$}}=\dfrac{80-60}{2-1}=\dfrac{20}{1}=20[/tex]

The slope of the line for the given situation is the fee per class. Therefore, there is a $20 fee for each class a customer at the gym attends.

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The y-intercept is the y-value at the point at which the line intercepts the y-axis, so when x = 0.

From inspection of the given graph, y = 60 when x = 0.

[tex]\implies \textsf{$y$-intercept}=60[/tex]

The y-intercept of the line for the given situation is the membership fee for the gym.  Therefore, the membership fee for the gym is $60.

Answer:

Step-by-step explanation:

its a square so choose the yellow square.

Use parentheses that may or may not contain parameters directly after the function name to invoke the function.

As part of GAIA, the AI created for Project Zero Dawn in reaction to the Faro Plague, the subordinate functions are a part. The Faro Swarm's deactivation and the planet's terraforming are all objectives of Project Zero Dawn, and they are all accomplished through their extensive suite of subfunctions, each of which is dedicated to a particular purpose.

There are nine supporting roles.

A top engineer on the Zero Dawn project known as an Alpha created each of the nine subordinate functions. They were supported by a project development team made up of professionals in their industry who were well-known throughout the world.

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Answer:

p = -1 ; p= 3

Step-by-step explanation:

10p^2 - 20p - 34 +4 = 0

10p^2 -20p - 30 = 0

10/10 p^2 - 20/10 p - 30/10 = 0

p^2 - 2p - 3 = 0

(p-3)(p+1) = 0

p = 3

p = -1

The correct options are that Multiply by 5 on both sides of the equation.

7 × 5 = 35. thus Dolev had 35 pretzels.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that Dolev has 5 friends and each friend got 7 pretzels, the equation that can be used to represent this will be;

p / 5 = 7

In order to determine the value of p, the following steps would be taken :

Now Multiply both sides of the equation by 5:

p = 7 x 5

Then Determine the product of the numbers :

7 x 5 = 35

The correct options are; that Multiply by 5 on both sides of the equation.

Dolev had 35 pretzels.

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Answer:

1111

Step-by-step explanation:

a) x = -6 to x =4

[tex](x_{1} , y_{1} ) (x_{2} , y_{2} ) = (-6,1) (4,3)[/tex]

Slope(m)[tex]= \frac{Y_{2}-Y_{1}}{x_{2}-x_{1}}[/tex]

               [tex]= \frac{1-3}{-6-4-}[/tex]

               [tex]= \frac{-2}{-10}[/tex]

               [tex]m = \frac{1}{5}[/tex]

Slope (m) of the function is 1/5.

b) x = -2 to x = 2

[tex](x_{1} , y_{1} ) (x_{2} , y_{2} ) = (-2,-1) (2,-3)[/tex]

slope (m)[tex]= \frac{Y_{2}-Y_{1}}{x_{2}-x_{1}}[/tex]

[tex]= \frac{-3-(-1)}{-2-2}[/tex]

[tex]= \frac{-2}{-4}[/tex]

slope(m) [tex]= \frac{1}{2}[/tex]

Slope(m) of the given function is 1/2.

What is fraction ?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

In a simple fraction, both are integers.

A complex fraction has a fraction in the numerator or denominator.

In a proper fraction, the numerator is less than the denominator.

Define slope(m)?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

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The maximum area that the material would cover is 640, 000 square yards

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then

rate of change = change in y / change in x

if 3200 yards was used for fencing, then 3200 yards is perimeter

and perimeter of a rectangle = 2( L + B)

so that,

2(L + B) = 3200

L + B = 1600

express L in terms of B

L = 1600 - B

Area(A) = L X B

A = L X B

substitute L = 1600 -B

A = (1600 - B) x B

multiply out

A = 1600B - [tex]B^{2}[/tex]

for maximum area,

[tex]\frac{dA}{dB}[/tex] = 0

But dA / dB = 1600 - 2B

1600 - 2B = 0

2B =1600

B = 1600/2

B = 800 yards

L = 1600 - B

L = 1600 - 800

L = 800 yards

Area = L X B

A = 800 x 800

A = 640,000 square yards

In conclusion, he maximum area is  640,000 square yards and the dimensions are 800 yards by 800 yards

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Answer:

The answer is 169

Step-by-step explanation:

Answer:

It should be y=2x-1

Step-by-step explanation:

Answer:

D: 12

Step-by-step explanation:

multiples of 4: 4,8,12,16,20

12 is the only number that can be divided by 4 on the list

Hopes this helps please mark brainliest

Answer:

D. 12

Step-by-step explanation:

12 is a multiple of 4 because 4 goes into 12 (evenly, with no remainder).

That's what being a multiple means.

All the "answers" to 4 times table questions are multiples of 4. Here they are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48...

Can't actually list them all because the list goes on forever.

Answer:

y ≥ -5 and y > 7

Step-by-step explanation:

Collect like terms

-y ≤ 8 - 3

-y ≤ 5

Divide both sides by -1

-1y/-1 ≤ 5/-1

y ≥ -5

And

y > 9 - 2

y > 7

R square is the most appropriate compared to the adjusted r square value.

In mathematics, a coefficient is a multiplicative coefficient of some term in a polynomial,  series, or expression. Usually numeric, but can be any expression. If the coefficients themselves are  variables, they can also be called parameters.

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The average of aa and bb is 740.

The result of adding together and dividing by the total number of numbers or variables is the arithmetic mean, which is also known as the average or average value. In statistics, the arithmetic mean is significant. Central tendency is measured using the arithmetic mean. By giving each observation the same amount of weight, it enables us to determine the frequency distribution's center for a quantitative variable (in contrast to the weighted arithmetic mean).

Given,

Arithmetic mean = 1515

Total number of values = 5

Formula:

Sum/Total = Arithmetic mean

33 + 55 + 77 + aa + bb/ 5 = 1515

165 + aa + bb = 7575

aa + bb = 7575 - 165

aa + bb= 7410

The average of aa and bb is 740.

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Answer:

9.7x10^-4

Step-by-step explanation:

Inconclusion the amount she invested in each account is $1,000 invested at interest rate 12% .

What is interest rate?

Let x represent the amount invested at 3%.

. 12x +.03(2000-x)= 150

.09x+ 60 = 150

Collect like terms

.09x = 90

Divide both side by .09x

x  = 90/.09

x=$1000

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