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Combination of variables x+y=7. 2x-y=-1 has (5/2, 2) as its solution. For each value of the variables, an identity is true.

Its simplest form is thought to be the number's smallest equivalent fraction. How to determine the simplest form. Look for shared factors in the denominator and numerator. A fractional number can be checked to discover if it is a prime number. A statement having two quadrilateral and an equal sign in the middle is referred to as a mathematical equation. Every variable's degrees are listed in descending order in the general form of any equation. The formula for a linear equation is x + b = 0. The general form of a two-variable linear equation is an x + b y + c = 0. (or something similar). Either contingent equations or identities are categories for equations. An identity holds true for whatever value of the variables.

given

x+y=7

2x-y=-1

8x=20

x= 5/2

-4y = -8

y = 2

Combination of variables x+y=7. 2x-y=-1 has (5/2, 2) as its solution. For each value of the variables, an identity is true.

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Answer:

x-intercepts exist in the 3 functions

y-intercepts exist in the 3 functions

The function  h(x) has the lowest minimum.

The function  f(x) has the greatest maximum.

Step-by-step explanation:

Given

The attached table

Solving (a): x-intercepts

A function has x intercept if its y value equals 0.

From the table, we have:

[tex]f(2)=0[/tex]

[tex]g(4) = 0[/tex]

[tex]h(2) = 0[/tex]

All functions have x intercept

Solving (b): y-intercepts

A function has y intercept if its x value equals 0.

From the table, we have:

[tex]x = 0[/tex]

This applies to all functions in the table;

Hence, all functions have y intercept

Solving (c): Lowest minimum

The minimum of each function is:

[tex]f(x) = -12[/tex]

[tex]g(x) = -4[/tex]

[tex]h(x) = -60[/tex]

The lowest minimum is: h(x) because:

[tex]h(x) <f(x) < g(x)[/tex]

i.e.

[tex]-60 < -12 < -4[/tex]

Solving (d): Greatest maximum

The maximum of each function is:

[tex]f(x) = 12[/tex]

[tex]g(x) = 2[/tex]

[tex]h(x) = 0[/tex]

The greatest maximum is: f(x) because:

[tex]f(x) > g(x) > h(x)[/tex]

i.e.

[tex]12 > 2 > 0[/tex]

Answer:

1. f(x) g(x) h(x)

2. f(x) g(x) h(x)

3. h(x)

4. f(x)

Step-by-step explanation:

I guessed and it was correct.

Answer: 0.023 is twenty-three thousandths written in standard form!

Answer: 0.023

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3/7/7 which is 3/7 x 7 which is 21/7 which is 3

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Answer:

[tex] \frac{3}{5} + \frac{2}{7} = \frac{31}{35} = 0.885[/tex]

Answer:

Step-by-step explanation:

The 4 sides of a square are usually the same ;

Hence, each side is called the side length ; from the diagram attached :

Side length of square 4 = a + b

Side length of square 5 = a + b

If the side lengths are equal ; that is (a + b) ; the the area which is the square of the side length will also be the same.

Answer:

B gets 5/13 of the candy bar.

Step-by-step explanation:

Given that a candy bar is being shared between two people, A and B, and A gets 3/5 times as much as B, to determine what fraction of the bar does B get the following calculation must be performed:

3/5 = 0.6

1.6 + 1 = 100

1 = X

2.6 = 100

1 = X

100 / 2.6 = X

38.46 = X

38.46% = 0.3846 = 5/13

Therefore, B gets 5/13 of the candy bar.

Answer lol faith

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Answer:

No, only 72 bikes can fit

Step-by-step explanation:

18 x 4.8 is 86.4

2 x .6 is 1.2

86.4 divided by 1.2 is 72

there for only 72 bikes can fit

Answer:

x = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

using the cosine ratio in the right triangle and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex]  ( cross- multiply )

2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 4[tex]\sqrt{3}[/tex] ( exact value )

Step-by-step explanation:

SOHCAHTOA

CAH-

Cosine●= adj/hyp

cos30= y/8

0.8660=y/8

Cross multiply

0.8660×8=y

y=8×0.8660

y=6.928

Answer:

124 units squared

Step-by-step explanation:

A(parallelogram) = 8 x 10 = 80

A(semicircle) = πr²/2

however, we need to use the Pythagorean Theorem to find 'r'

r² + 6² = 8²

r² = 84-36

r² = 28

r = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{7}[/tex] or 2[tex]\sqrt{7}[/tex]

A = π(2√7)² / 2

A = 4·7π / 2

A = 14π which is approx 44

Total Area = 44 + 80 = 124

Answer:   11......................................................................................

0.36d³ - 4.31d² - 2.5d - 2 = 0 is the function and the graph of the function is given below -

function is a mathematical phrase, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable).

y = x² is an illustration of this. Any input for x yields a single output for y. Because x represents the input value, one can state that y is a function of x.

To determine the number of days after the game's release that was played by the same number of students for the two functions S^1(d) and S^2(d).

Here, the functions each model the number of students S.

played an online video game d days.

We need to set the two functions equal to each other and solve for d.

S^1(d) = S^2(d)

or,  0.45d³ - 3d² + 4.75d + 16  = 0.09d³ - 1.31d² + 7.25d + 18

Subtracting 0.09d³ - 1.31d² + 7.25d + 18 from both sides we get:

or, 0.36d³ - 4.31d² - 2.5d - 2 = 0

So, the graph becomes:

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Answer:

highest 77 and lowest is 4

Answer:

Domain: All real numbers

Range: All real numbers greater than or equal to -1

Answer:

x=12

Step-by-step explanation:

7+5=12

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Answer:

[tex] m = \boxed{1} \: \: c = \boxed{4}[/tex]

Step-by-step explanation:

[tex]y = x + 4 \\ equating \: it \: with \\ y = mx + c \\ m = \boxed{1} \: \: c = \boxed{4}[/tex]

1. The degree form of 4π/9 is approximately 228.6°.

2. A positive coterminal angle to -123° that is between 500° and 750° is 677°. A negative coterminal angle to -123° that is between -300° and -500° is -243°.

3. The terminal side of 215° lies in the second quadrant.

4. The radius of the circle is approximately 15.7.

1. The degree form of 4π/9 is approximately 228.6°. To express an angle in degrees, we multiply its radian measure by 180°/π.

2. A positive coterminal angle to -123° that is between 500° and 750° is 677°. A negative coterminal angle to -123° that is between -300° and -500° is -243°. To find a coterminal angle, we can add or subtract 360° as many times as necessary to bring the angle into the desired range.

3.

In the standard position, an angle is measured counterclockwise from the positive x-axis. The positive x-axis corresponds to the 0° angle, the positive y-axis corresponds to the 90° angle, the negative x-axis corresponds to the 180° angle, and the negative y-axis corresponds to the 270° angle. Angles in the first quadrant are between 0° and 90°, angles in the second quadrant are between 90° and 180°, angles in the third quadrant are between 180° and 270°, and angles in the fourth quadrant are between 270° and 360°.

So, the terminal side of 215° lies in the second quadrant.

4.

We can set up the equation l = Cθ/2π and solve for r.

Substituting the given values, we have 56π = (2πr)(120°/180°), which simplifies to r = 56π/(2π) = 28.

Dividing this value by 2, we get the radius of the circle as approximately 15.7.

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Answer:

Step-by-step explanation:

Find z-score:

Get the rank from the z-table:

Answer:

0.871

Step-by-step explanation:

a. Solve the formula for r.

V = C (1 + r)²

dividing both sides by C, we have

V/C = (1 + r)²

(1 + r)² = V/C

taking square root of both sides, we have

√(1 + r)² = √(V/C)

1 + r = √(V/C)

r = √(V/C) - 1

b. Lew bought a condo 20 years ago for $50,000, and the current value of the condo is $175,000. Assuming the same

rate each year, what has the annual rate of appreciation been? Round your answer to the nearest half a percent.

Since r  = √(V/C) - 1 and V = $ 175,000 and C = $ 50,000

Substituting the values of the variables into the equation for r, we have

r  = √($ 175,000/$ 50,000) - 1

r  = √3.5 - 1

r = 1.871 - 1

r = 0.8708

r ≅ 0.871

Answer:

43cm

Step-by-step explanation:

96-10 (5 x2 sides)=86

86/2 sides=43 longest side

The length of the longest side is 43 cm.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Perimeter of a rectangle = 2 (length + width)

Perimeter = 96 cm

Width = 5 cm

Length = x

Now,

96 = 2 (x + 5)

48 = x + 5

x = 48 - 5

x = 43

Thus,

The longest side is 43 cm.

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Answer:

11

Step-by-step explanation:

Angles 3x + 3 and 4x - 8 are adjacent angles.

Adjacent angles are equal.

4x - 8 = 3x + 3

4x - 3x = 3 + 8

x = 11

Answer:

The number is 12.

Step-by-step explanation:

Suppose the number is x. So,

18(3x-4)=48x

54x-72=48x

54x-48x=72

6x=72

x=12

The number of acorns that Frank have in the other hand will be 14.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real.life scenario given.

Since Ella has the same number of acorns as frank. Ella has 9 in one hand and 10 in the other hand.

When Frank has 5 on one hand, the number of acorns that Frank have in the other hand will be:

= 10 + 9 - 5

= 14

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Complete question

Ella has the same number of acorns as frank. Ella has 9 in one hand and 10 in the other hand. Frank has 5 on one hand. How many acorns does frank have in the other hand

Answer:

n - 5

Step-by-step explanation:

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Answer:

n-5

Step-by-step explanation:

first stated should be at first, and second stated will be at second.

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An equation is y = -4x/3 + 10.

A graph of the equation is shown in the image attached below.

In order to write and graphically solve an equation that model this situation, we would assign variables to the number of pound of peaches and number of pounds of apples respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into an algebraic equation as follows;

$2/pound × Pounds of peaches = 2x.

$1.50/pound × pounds of apples = 1.50y

Combining the two expressions above, we have the following:

2x + 1.50y = 15

Making y the subject of formula, we have:

1.50y = 15 - 2x

y = (15 - 2x)/1.50

y = -4x/3 + 10

Therefore, an equation in slope-intercept form that relates the variables is y = -4x/3 + 10.

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