200-80/1 or (as shown on the sheet)

200-80
------------
1​

We can write this equation as (x-3)² + (y-2)² =25 in graphing form.

The vertex form of a quadratic equation is y = a (x h) 2 + k as opposed to the regular quadratic form, which is an x 2 + b x + c = y. Graphs

f(x) = ax² + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph.

Given Data

Equation:

x² +y² -6x +9y - 12 = 0

Writing in graphing form,

(x² - 6x) + (y² + 4y) = 12

(x² - 6x +9-9) + (y² +4y+4-4) = 12

(x² -6x +9) + (y² +4y+4) = 25

(x-3)² + (y-2)² =25

Center (x, y) = (3,-2)

radius r = 5

We can write this equation as (x-3)² + (y-2)² =25 in graphing form.

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The graph of each function in the piecewise function is added as an attachment

The equation of the piecewise function is given as

f(n) = n/2 if n is even

        3n + 1 if n is odd

In the above definition of the piecewise function, we have the following functions and the domains

Note that:

The domain of the function is the set of input values of the graph

This in other words mean the domain of a function is the set of x values of the graph.

Next, we plot the graph of each function in the piecewise function in their respective domain

See attachment for the graph of each function in the piecewise function,

On the graph, the blue line represents f(n) = n/2 while the other line represents f(n) = 3n + 1

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Using the rules of complementary angles we calculate that the value of x is  12° .

Pairs of complementary angles have measures which are one right angle.

The two given angles are 29° and ( 5x + 1 )°.

There are a pair of complementary angles.

Therefore 29° + ( 5x + 1 )° = 90 °

or, 5x + 30° = 90 °

or, 5x = 60

or, x = 12°

Therefore using the rules of complementary angles we calculate the value of x is 12°.

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Answer:

a) ¹⁰√4

Step-by-step explanation:

(4 ⅖)¼ = 4 ^ 2/5 × 1/4 = 4^ 2/20 on simplifying further we get answer as a

Answer:

175 x 20

Step-by-step explanation:

You said that bacteria doubles every day, so it's x2. Since it's the course over 10 days, it's 10 x 2 = 20. So the expression is 175 x 20.

Answer: Railway Track Crossing

Step-by-step explanation: A railway track crossing is usually two “lines”(the railroad and the road) intersecting at a 90 degree angle.

Answer: The adjacent sides of a picture frame

Step-by-step explanation:

The best example would be the adjacent sides of a picture frame. Remember that adjacent means next to and sharing a vertex. The adjacent sides of a picture frame meet at a 90∘ angle and so these sides are perpendicular.

Answer: yes because that is possible

Step-by-step explanation:and i took the quiz it 152

Answer:

b. 18/51

Step-by-step explanation:

There is a total of 18 blue and yellow candies, so in a total of 51, there would be a chance of 18/51 that you draw a yellow or blue piece.

Answer:

18/51

Step-by-step explanation:

Based on the sample of students and the family income, the point estimate of the mean score of the group is 511.

The Point Estimate refers to a figure in a population that is meant to describe a value for the entire population. For instance, a point estimate can be the mean of scores for a sample of students.

Going by that logic, the point estimate for the sample of 400 students who had family income between $70,000 and $80,000 is 511. This Verbal SAT Score refers to the mean score that the group got in their Verbal SAT.

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Answer: -3/4; -2/3; 0; 0.7

Answer:

−19√2

Decimal Form:

−26.87005768…

Step-by-step explanation:

Answer:

it is ten 10

Step-by-step explanation:

The value of x that makes line l, m and n parallel is 12.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles etc.

The value of x that makes the line l, m and n parallel can be calculated as follows:

124 + 5x - 4 = 180 (supplementary angles)

124 - 4 + 5x = 180

120 + 5x = 180

subtract 120 from both sides of the equation

120 - 120 + 5x = 180 - 120

5x = 60

divide both sides by 5

x = 60 / 5

x = 12

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By using linear equation, When the swimsuit was twice as much as the goggles and the swim cap was half the price of the goggles. If the total cost of the items was $59.50, then the price of the swimsuit is $34

The total cost of the items = $59.50

Consider the cost of goggles = 2x

The swimsuit was twice as much as the goggles

The cost of the swimsuit = 4x

Swim cap was half the price of the goggles

The cost of the swim cap = x

Then the price of the items = The cost of goggles + The cost of the swimsuit + The cost of the swim cap

Substitute the values in the equation

2x + 4x + x = 59.50

7x = 59.50

x = $8.5

The cost of the swimsuit = 4x

= 4×8.5

= $34

Hence, by using linear equation, when the swimsuit was twice as much as the goggles and the swim cap was half the price of the goggles. If the total cost of the items was $59.50, then the price of the swimsuit is $34

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Answer:

t=-20/3

Step-by-step explanation:

Let's solve your equation step-by-step.

8=−6/5t

Step 1: Flip the equation.

−6/5t=8

Step 2: Multiply both sides by 5/(-6).

(5/−6)*(−6/5t)=(5/−6)*(8)

t=−20/3

Answer:

t=−20/3

Answer:

yés it is linear because

two variables that gives a straight line when plotted on a graph.

if it was correct tell me good or it was mistake tell me truth

Step-by-step explanation:

hope it was correct

The differential equation of  the amount of a subject memorized in time t > 0 is k. a(t) + da(t)/dt = km, where k is a constant representing the rate  at which a subject is memorized.

Translate the given word problem into an algebraic expression.

Let m be the total amount of a subject to be memorized.

Let  a(t) be the amount memorized in time t > 0.

Let c(t) be the amount that is left to be memorized in time t > 0.

Then,

c(t) = m - a(t)

From the problem, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized. It means:

da(t)/dt = k. c(t),  where k is a constant

da(t)/dt = k. (m - a(t))

k. a(t) + da(t)/dt = km

Hence, the differential equation is k. a(t) + da(t)/dt = km

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Answer:

$36.40

Step-by-step explanation:

.04x35

The amount that Reshma spent on comic books is Rs. 165.

The amount that is left with her is Rs. 495.

A fraction is a quantity that is not a whole number. A fraction consists of a numerator and a denominator. An example of a fraction is 1/4. 1 is the numerator and 4 is the denominator.

In order to determine the amount she spent on comics, multiply the fraction spent by the amount of her pocket money. Multiplication is the process used to determine the product of two or more numbers. The sign that represents multiplication is ×.

Money spent on comics = fraction of the money spent x pocket money

1/4 x 660 = Rs. 165

The amount left can be determined by subtracting the amount spent on comics by the value of her pocket money.

Amount left = pocket money - amount left

Rs 660 - Rs 165 = Rs 495

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Answer:

- x² + 7x + 13

Step-by-step explanation:

a parabola in standard form id expressed as

ax² + bx + c ( a≠ 0 )

given

(x + 1)² - (2x + 3)(x - 4) ← expand factors using FOIL

= x² + 2x + 1 - (2x² - 5x - 12) ← distribute parenthesis by - 1

= x² + 2x + 1 - 2x² + 5x + 12 ← collect like terms

= - x² + 7x + 13 ← in standard form

The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection across the line y = x followed by a translation 10 units right and 4 units up.

A certain order of transformational occurrences is referred to as a transformational sequence. This indicates that more than one transformation is handled by a series of transformations, and the order in which they happen is important.

We are given that ΔA'B'C' exists formed after a sequence of transformations applied to ΔABC.

The first exists a reflection across a line and the second exists a translation.

The coordinates of point C exist (-4, -2). After reflection from the line y = x, the coordinates become (2, -4).

Also, the coordinates of point C' are (12, 0).

So, to get point C' from point C, we should add 10 units to the x-coordinate and 4 units to the y-coordinate.

The translation of 10 units right and 4 units up.

Therefore, the complete transformation is

The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection across the line y = x followed by a translation 10 units right and 4 units up.

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The percentage change of the given exponential function f(x) = 400(0.85)^(x) is; 15%

How to Interpret Exponential decay function?

The general form of an exponential decay function is:  

y = a(1 – b)^(x)

where:

y is the final amount that remains after a period of time decayed

a is the initial amount

x is the time

Decay factor = (1 – b).

where;

b is the percent change written in decimal form.

We are given the exponential function as;

f(x) = 400(0.85)^(x)

Now, from the general form of an exponential decay function, we can say that;

1 - b = 0.85

b = 1 - 0.85

b = 0.15 or 15%

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Answer: 12.56unit

Step-by-step explanation:

0.3 less than 15 or 0.3 more than 15 would be the acceptable range of values.

Consequently, based on the provided data, the permitted value range is

between 14.7 and 15.3

The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.

so we know:

To find the range of values that can are permitted to vary by 2% of 15, first,

find the value of 2% of 15:

2/100*15=30/100=0.3

The permitted range of values would be 0.3 less than 15 or 0.3 greater than 15.

hence the values will be:

15+0.3 or 15-0.3

range=14.7 to 15.3

Therefore the range of the allowable values according to the given data is

from 14.7 to 15.3

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Answer:

x = 23, y = 7, z = 11

Step-by-step explanation:

Since triangle PRS is congruent to triangle CFH,

PS = CH = 39

2x - 7 = 39

2x = 46

x = 23

Angle PRS = Angle CFH = 90°

13y - 1 = 90

13y = 91

y = 7

Sum of angles in a triangle add up to 180°.

Angle CHF = 180 - 90 - 28 = 62°

6z - 4 = 62

6z = 66

z = 11

The equation of a circle that has a radius of 9 and a center at (-2, 7) is the option;

A circle is a set that comprises all points that are equidistant from a point on a plane

The general form of the equation of a circle is; x² + y² + 2•g•x + 2•f•y + c = 0

The equation of a circle can also be presented in standard form as follows;

Where;

(h, k) = The coordinates of the center of the circle

r = The measure of the length of the radius of the circle

The given parameters are;

The radius of the circle, r = 9

Taking the coordinates of the center of the circle, (h, k) = (-2, 7)

The equation of the circle in standard form is therefore obtained by plugging in the values of h, k, and r as follows;

(x - h)² + (y - k)² = r²

Which gives;

(x - (-2))² + (y - 7)² = 9²

Which gives;

(x + 2)² + (y - 7)² = 9² = 81

The equation of the circle is therefore the option;

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For the given quadratic function, we have that:

The x-intercepts of the function are the same as the zeros, that is, the values of x for which f(x) = 0.

For this problem, the function is defined as follows:

f(x) = -2x² - 4x.

Hence the x-intercepts are given as follows:

-2x² - 4x = 0

2x² + 4x = 0

2x(x + 2) = 0.

Hence:

The numeric value at x = -4 is calculated replacing each instance of x by -4, hence:

f(-4) = -2(-4)² - 4(-4) = -16.

We have to solve for x as follows:

-2x² - 4x = 2

2x² + 4x + 2 = 0

x² + 2x + 1 = 0

(x + 1)² = 0.

x = -1.

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Answer:

Mark is x years old.

Sally is 10+x years old