15 points please help

Step-by-step explanation:

3x = 6y - 30

6y = (6y - 30)+ 30

6y - 6y = -30 + 30

0 = 0

y = {any rational number}

Answer:

(3z)^3

Step-by-step explanation:

27 = 3 * 3 * 3 = 3^3

3^3 z^3   = (3z)^3

The function that represents the 6% popularity growth per month is P(x) = 500 + 0.06x

Function:

Function also known as an expression, rule, or law that defines a relationship between one variable called independent variable and another variable called dependent variable.

Given,

Before gaining popularity in the music industry, a young artist had 500 social media followers. As her popularity grew, her social media following increased at a rate of 6% per month.

Here we need to find the function that represents the given situation.

Let us consider the number of months to be modeled as x.

Then P(x) is the function that represents the situation.

And from the given question we know that, the initial population was 500.

And the population growth per month is 6%.

When we convert this percentage value into decimal then we get the growth rate as, 0.06.

Through this details, the function is written as,

P(x) = 500 + 0.06x

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The perimeter of the quadrilateral with the given coordinates is 16 square meters.

By definition, quadrilateral is a polygon that is bounded by four sides, four angles, and four vertices.

The perimeter of a quadrilateral is the distance round the quadrilateral that is A+B+C+D

Length 1 goes from (5, 2) to (10, 2)

since the y coordinate is the same

L1 = (10 - 5) = 5

Length 2 goes from (5, 5) to (10, 5)

since the y coordinate is the same

L2 = (10 - 5) = 5

Width 1 goes from (5, 2) to (5, 5)

Based on the x coordinate is the same

W1 = (5 - 2) = 3

Width 2 goes from (10, 2) to (10, 5)

Based on the x coordinate is the same: hence,

W2 = (5 - 2) = 3

The Perimeter will be:

p = 5 + 5 + 3 + 3

p = 16

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The probability that you select two rock concert tickets is 0.25.

What is the probability?

Probability is the branch of mathematics concerned with numerical descriptions of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1, where 0 represents the event's impossibility and 1 represents certainty.

We have,

[tex]Probability =\frac{number \ of favorable outcomes}{total number \ of outcomes}[/tex]

Number of favorable outcomes  = 6

Total number of outcomes = 24

Probability rock concert tickets = 6/24

= 1/4

Probability rock concert tickets =  0.25

Hence, the probability that you select two rock concert tickets is 0.25

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The linear function tangent to the graph of f(x) = (x + 3)/(x - 8) at the point (0, -38) is:

y = -11x/64 - 38.

The slope-intercept representation of a linear function is given by the rule shown as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The line is tangent to the curve at point (0,-38), meaning that the line passes through point (0,-38), hence the intercept is given as follows:

b = -38.

Since the line is tangent to f(x), the slope of the line is the derivative of f(x) at x = 0.

The function f(x) is defined as follows:

f(x) = (x + 3)/(x - 8)

Applying the quotient rule, the derivative is given as follows:

f'(x) = [x - 8 - x - 3]/(x - 8)²

f'(x) = -11/(x - 8)²

At x = 0, the numeric value of the derivative is found replacing the lone instance of x by zero, hence:

f'(0) = -11/(0 - 8)² = -11/64.

Thus the equation of the tangent line to f(x) at point (0, -38) is given as follows:

y = -11x/64 - 38.

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Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

Hopes this helps please mark brainliest

The ordered pair that are solution of the equation 3x-y= 1 is (−2, −7) , (−1, −4)

and  (3, 8)

What is ordered pair ?

An ordered pair is a set of two things in mathematics. The pair's objects must appear in a specific order for them to be considered distinct from one another, unless a = b. Ordered pairs are also referred to as 2-tuples, or sequences with a length of 2.

Checking the equation by putting the values of x and y in the given options

1. (-2,-7)

LHS

=3*(-2) - (-7)

= -6+7

=1

LHS = RHS

2. (-1,-4)

LHS

=3*(-1) - (-4)

= -3+4

=1

LHS = RHS

3. (0,1)

LHS

=3*(0) - (1)

= -1

=-1

LHS [tex]\neq[/tex] RHS

4. (3,8)

LHS

=3*(3) - (8)

= 9-8

=1

LHS = RHS

5. (4,2)

LHS

=3*(4) - (2)

= 12-2

=10

LHS [tex]\neq[/tex] RHS

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Answer:

y = 5/6x

Step-by-step explanation:

Solve for the slope of the function by using two points from the graph.

(12,10) and (6,5)

Use the slope formula

(10-5)/(12-6) = 5/6

The y-intercept is 0 because the line crosses at (0,0) at the y-axis.

y = 5/6x + 0

Answer:

I think so ;-;

Step-by-step explanation:

Monthly Mortgage Payment is $495.88

Mortgage is a long-term amortized loan where loan is provided to buy certain capital asset and pay back total sum due in small periodic annuities. In Mortgage title of asset lies with lender and passes to borrower after complete mortgage payment.

Hence,

Mortgage Amount is $77,000

Monthly Payment for each $1,000 is $6.44

Monthly Mortgage Payment is $495.88

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The last division operation of Corky is incorrect.

What is properties of equality?

The attributes of the equality connection, reflexivity, symmetry, transitivity, and the attributes of operations are employed to solve equations. These characteristics hold true in mathematical and algebraic expressions just as they do in propositional language.

Consider, each operation of Corky.

Addition:

3 + 4 = a, then

(3 + 4) + 2 = a + 2

This is the correct equality.

Subtraction:

3 + 4 = a, then

(3 + 4) - 2 = a - 2

This is the correct equality.

Multiplication:

3 + 4 = a, then

4(3 + 4) = 4a

This is the correct equality.

Division:

3 + 4 = a, then

(3 + 4)/2 = a/2

But in the properties 2/a is given.

Therefore, the division property of equality is incorrect.

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Answer:

The answer is B false

Step-by-step explanation:

The linear equation is y = x+25.

What is linear equation?

An equation for a straight line is called a linear equation. The general representation of the straight-line equation is y=mx+b, where m is the slope of the line and b is the y-intercept. Linear equations are those equations that are of the first order.

Let the linear equation shown in data be written as

y = mx+b

Here, the value of m

53-45 = 8

for y,

68-60 = 8

m = 8/8 = 1

Hence,

60 = 1(45)+c

c = 25

hence, y = x +25

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Answer:

Below

Step-by-step explanation:

Since it is given this is a linear equation, we can find the slope, m, between any two points as   (y1-y2)/(x1-x2)

using the first two points  (45,60) and (53,68)  

      m = ( 60 - 68) / (45-53) = 1

 so for the slope intercept form of a line  (  y = mx + b ) we have

      y = (1) x + b     plug in any of the points to calculate 'b'  

          70 = (55) + b    shows b = 15

so you line equation becomes   y = x + 15

The line segment AD is congruent with DB because the corresponding parts of congruent triangles are congruent.

An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.

Draw the DM as the perpendicular bisector of AB(Assumption)

Since DM is perpendicular to AB, m∠AMD = m∠BMD = 90°.

Since DM bisects AB, AM ≅ BM. With AD≅ DB (reflexive property), ∆ADM ≅ ∆BDM by SAS.

Finally, AD≅ DB because corresponding parts of congruent triangles are congruent.

Therefore, ∆ABD must be isosceles since two of the three sides are congruent.

Thus, line segment AD is congruent with DB.

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Answer:

A decimal or consecutive tenths decimals. Also 0.1 away from each other.

Step-by-step explanation:

They have decimal endings: .1 and .2

And are 0.1 away.

The correct option regarding the residuals are given as follows:

2 negative residuals and 6 positive residuals.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

Then the residuals of this data-set in the table are given as follows:

As for each point, the actual value is given and then the predicted value.

Then the numbers of each positive and negative residuals are given as follows:

Hence the first option is the correct option.

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If the sum of the digits of a two-digits number is 12. and when 15 is added to the number, the result is 6 times the unit digit. the number is 48

This is a word problem which will be used t o form equation

Let the first digit be x and the second digit be y

so that

x + y = 12

xy + 15 = 6y

from x + y = 12, x = 12 - y

substituting x = 12 - y into xy + 15 = 6y

y(12 - y) + 15 = 6y

expanding and arranging the equation gives

y^2 - 6y  - 15 = 0

solving the quadratic equation gives

y = 7.899 OR -1.899

take the positive value, y is approximately 8

plug in y = 8 and solve for x

x = 12 - y

x = 12 - 8

x = 4

Therefore the number is 48

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[tex]r=7\cos \theta \implies r^2=49\cos^2 \theta=7r \cos \theta \\ \\ \therefore x^2+y^2=7x \\ \\ x^2-7x+y^2=0 \\ \\ x^2-7x+\frac{49}{4}+y^2=\frac{49}{4} \\ \\ \left(x-\frac{7}{2} \right)^2+y^2=\frac{49}{4}[/tex]

So, the graph is a circle centered at [tex](7/2, 0)[/tex] with a radius of 7/2. Thus, the graph is C.

The area is thus [tex](7/2)^2 \pi=\frac{49\pi}{4}[/tex]

1870 yards is covered if all 11 players complete the drill.

Given:

Starting at the endzone, players sprint to the 10 yard line and back, the 25 yard line and back, and finally the 50 yard line and back.

one player yards covered = 10*2+25*2+50*2

= 20+50+100

= 70+100

= 170 yards.

11 players yards covered = 11*170

= 1870 yards.

Therefore 1870 yards is covered if all 11 players complete the drill.

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The value of the variables x, y , z are 28.75° , 135.5°, and 44.5° respectively .

Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.

When two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.

Corresponding angles are equal to each other. This means that (6x/5 +10)°=z= (2x-13)°

therefore( 6x/5 +10)° =(2x-13)°

collect like terms

10+13= 6x/5-2x

23= (10x-6x)/5

multiply both sides by 5

115=4x

x= 115/4= 28.75°

z= (2x-13)°

z= 2×28.75-13

z= 57.5-13

z= 44.5

z+y= 180( sum of angles on a straight line)

y= 180-44.5

y= 135.5

therefore the values x, y , z are 28.75° , 135.5°, and 44.5° respectively .

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The quotient for both the parts are 9.375 and 175.01.

What is quotient?

In arithmetic, a quotient may be a amount created by the division of 2 numbers. The quotient has widespread use throughout arithmetic, and is usually brought up because the number a part of a division, or as a fraction or a quantitative relation.

Main body:

A) 3.75/ 0.4

 first removing the decimals,

= 375/ 40

=  9.375

B) 8750.50/50

same process of removing decimals,

= 8755050/ 5000

= 175.01

Hence the value of quotient for both the parts are 9.375 and 175.01.

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Answer:

Given (x - 7)2 = 36, the values of x are 13, 1.

The rocket reaches its maximum height at 2.25 second(s) after launch

The maximum height reached by the object is 88 feet.

The function is given as

h(t) = -16t² + 72t + 7

Differentiate the above function

So, we have the following representation

h'(t) = -32t + 72

Set to 0

-32t + 72 = 0

So, we have

32t = 72

Divide by 32

t = 2.25

Hence, the time is 2.25 seconds

In (a), we have

t = 2.25

Substitute t = 2.25 in h(t) = -16t² + 72t + 7

h(2.25) = -16(2.25)² + 72(2.25) + 7

Evaluate

h(2.25) = 88

Hence, the maximum height is 88 feet

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