Who invented algebra?

Answer:

13

Step-by-step explanation:

When x=20

=x-7

=20-7

=13

Answer:

impossible

Step-by-step explanation:

what is in the absolute value have to be positive so it's impossible that |2x+5| is < or = at -7

Answer:

s(6)=62

Step-by-step explanation:

s(t)=t^2+4t+2

s(6)=6^2+4(6)+2

s(6)=36+4(6)+2

s(6)=36+24+2

s(6)=60+2

s(6)=62

Hope this helps.

Answer:

59.3° (nearest tenth)

Step-by-step explanation:

Cosine Rule (for finding angles)

[tex]\boxed{\sf \cos(C)=\dfrac{a^2+b^2-c^2}{2ab}}[/tex]

where:

From inspection of the given triangle:

Substitute the values into the formula and solve for G:

[tex]\implies \sf \cos(G)=\dfrac{6^2+15^2-13^2}{2(6)(15)}[/tex]

[tex]\implies \sf \cos(G)=\dfrac{36+225-169}{180}[/tex]

[tex]\implies \sf \cos(G)=\dfrac{92}{180}[/tex]

[tex]\implies \sf G=\cos^{-1} \left(\dfrac{92}{180}\right)[/tex]

[tex]\implies \sf G=59.26213133...^{\circ}[/tex]

Therefore, the measure of angle G is 59.3° (nearest tenth).

Answer: it is 4.76785714286

Step-by-step explanation:

Answer: [tex]\frac{4\sqrt{3} }{3} +\frac{1}{2}[/tex]

Step-by-step explanation:

You can either do this manually or use your calculator. Using your calculator, make sure that your calculator is in degree mode, then enter tan(30) + (1/tan(30)) + sin(60).  [1/tan(30) is equal to cot(30) because tangent and cotangent are inverse functions].

Manually, use the unit circle. Tangent is sine over cosine. Sine of 30 degrees is 1/2. Cosine of 30 degrees is [tex]\sqrt{3} /2[/tex]. 1/2 divided by [tex]\sqrt{3}/2[/tex] is [tex]\sqrt{3}/3[/tex]. Cotangent is 1/tangent so take 1/[tex]\sqrt{3}/3[/tex] which is [tex]\sqrt{3}[/tex]. Then we already said that sine of 30 degrees is 1/2, so add them all together.

[tex]\sqrt{3}/3+\sqrt{3}+\frac{1}{2}[/tex] which is equal to [tex]\frac{4\sqrt{3} }{3} +\frac{1}{2}[/tex] or approximately 2.8094.

Answer:

44.912, 44.120, 44.102,

Step-by-step explanation:

Yes, it is a rational number                            

After solving the Linear equation, the value of the n becomes 18.4.

According to the statement

We have to find that the value of the n.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The equation is 18 = (36.4-n)

Then we have to solve it

(36.4-n) = 18

36.4 -18 = n

After rearrange it then

n = 36.4 -18

Now subtract the equation, then

n = 18.4.

So, After solving the Linear equation, the value of the n becomes 18.4.

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the coordinate of X is at 8 units of P and at 4 units to the left of Q

So the coordinate of X is: -5 + 8 = 3

We know that point X is between points P and Q, in such a way that the ratio between the lengths of the segments PX and XQ is 2:1

First, we can length of the segment PQ is equal to the difference between their coordinates, so we get:

L = 7 - (-5) = 12

Then the length of segment PQ is 12 units, if we divide that in 3 we will get:

12/3 = 4 units.

So the segment PQ can be divided into 3 segments of 4 units each.

If the ratio PX to XQ is 2:1

Then the segment PQ must be divided into 3 parts, such that PX takes two of these parts and XQ is the remaining one.

Then the coordinate of X is at 8 units of P and at 4 units to the left of Q

So the coordinate of X is: -5 + 8 = 3

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The numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

From the given question, we are to order the given numbers from the greatest to least.

The given numbers are

-49

-1/5

0.5

4

-1.2

15/5

First, we will convert the fractions to decimal or whole number

-1/5 = -0.2

15/5 = 3

Now, we will order the numbers from the greatest to the least

4 > 3 > 0.5 > -0.2 > -1.2 > -49

That is,

4 > 15/5 > 0.5 > -1/5 > -1.2 > -49

Hence, the numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

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All work and answers are provided in the attached screenshot! :)

Have a great day! :)

Answer:

$35 for 12 slices

Monthly cost for x slices of pizza = 20 + 1.25x

Step-by-step explanation:

Monthly Membership cost = $20
Discounted cost per slice of pizza = $1.25
Discounted total cost for 12 slices = $1.25 x 12 = $15

Total cost = 20 + 15 = $35 this momth

For x slices of pizza, monthly cost = 20 + 1.25x

Answer:

14 units,

Step-by-step explanation:

Just count down the graph

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

Answer:

the answer would be 14 units

Step-by-step explanation:

you can count down between the distance with the first point and the second point

Answer:

Step-by-step explanation:

The measure of the other angle is  114.7.

Given that the angles are  supplementary,

Let the other angle be 'x'.

x + 65.3 = 180 degree

x = 114.7

hence, The other angle is 114.7 degrees.

The term "supplementary angles" refers to a pair of angles that always add up to 180°. These two perspectives are known as supplements. The term "supplementary" is derived from the Latin words "supply" and "plere," where "supply" means "supply" and "plere" means "fill." As a result, "supplementary" means "something that is supplied to complete a thing."

If two angles add up to 180 degrees, they are said to be supplementary angles. When supplementary angles are combined, they form a straight angle (180 degrees). In other words, if Angle 1 + Angle 2 = 180°, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" in this case.

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Answer:

Step-by-step explanation:

1.

scale factor=12.5/10=1.25

x/16=1.25

x=1.25×16=20

2.

correct.

From the division of quadrants in the xy-plane, it is found that letter K represents the second quadrant.

There are four quadrants of points (x,y), and their signals are given as follows:

In this problem, we want Quadrant 2, in which:

Hence:

Letter K represents the second quadrant.

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We get the fixed cost as $ 150, cost of 25 items as $ 750, range as [0, 1500] and the domain as [0,150].

We are given the cost function:

C(x) = 10x + 500.

Fixed cost is when x = 0

C(0) = Fixed cost = 10 ( 0 ) + 500

Fixed cost = $ 500

Cost of making 25 products is x = 25

C(25) = 10 (25) + 500

C(25) = 250 + 500 = $ 750

Maximum cost allowed = $ 1500

Function becomes:

10x + 500 ≤ 1500

x + 50 ≤ 150

x ≤ 150 - 50

x ≤ 100

Range = [0, 1500]

Domain = [0, 150]

Therefore, we get the fixed cost as $ 150, cost of 25 items as $ 750, range as [0, 1500] and the domain as [0,150].

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Answer:

B

Step-by-step explanation:

Because 3/20 is 15%, 20%, 25%, 33%

All my work and answer is provided in the attached screenshot!

Have a great day!

Solution:

The word correlation is used in everyday life to denote some form of association. We might say that we have noticed a correlation between foggy days and attacks of wheeziness. However, in statistical terms, we use correlation to denote the association between two quantitative variables. We also assume that the association is linear, that one variable increases or decreases a fixed amount for a unit increase or decrease in the other. The other technique that is often used in these circumstances is regression, which involves estimating the best straight line to summarise the association.

Correlation coefficient

The degree of association is measured by a correlation coefficient, denoted by r. It is sometimes called Pearson’s correlation coefficient after its originator and is a measure of linear association. If a curved line is needed to express the relationship, other and more complicated measures of the correlation must be used.

The correlation coefficient is measured on a scale that varies from + 1 through 0 to – 1. Complete correlation between two variables is expressed by either + 1 or -1. When one variable increases as the other increases the correlation is positive; when one decreases as the other increases it is negative. The complete absence of correlation is represented by 0.

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The values of f(0) that can be read from (a similar question in part (a) and (c)) the table, functions, and graph in the question are;

(a) f(0) = 1

(b) f(0) = 12

(c) f(0) = -2

Part of the question appears missing. From a similar question online, we have;

(a) A table of values;

x: -1, 0, 1, 2, 3

y: 7, 1, 6, -3, -4

Taking the function, f(x) = y, we have;

From the above values in the table, when x = 0, y = f(0) = 1

Therefore;

(b) y = 12 - 2•x²

Taking the function, f(x) = y, we have;

At x = 0, y = f(0) = 12 - 2 × 0² = 12

Therefore;

(c) A graph of a parabola passing through the points (-1, 3), (2, -6), (5, 3)

Let f(x) = a•x² + b•x + c, represent the function, we have;

f(-1) = 3 = a•(-1)² + b•(-1) + c = a - b + c

f(2) = -6 = a•(2)² + b•(2) + c = 4•a + 2•b + c

f(5) = 3 = a•(5)² + b•(5) + c = 25•a + 5•b + c

Solving the system of linear equations, (1), (2), (3) using a graphing calculator gives;

a = 1, b = -4, c = -2

Which gives;

f(x) = x² - 4•x - 2

Therefore;

f(0) = 0² + 4×0 - 2 = -2

Which gives;

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Answer:

50.24 in²

Step-by-step explanation:

[tex]A = \frac{1}{4} \times (22/7) \times 8^2 = 0.25 \times 3.14 \times 64\\= 50.24[/tex]

➲ Hope this helps.

➲ Wish you the best of luck. :)

diameter of circle= 8 inch.

so, radius of circle= d/2 = 4 inch

now

area of circle=πr²

22/7 × (4)²

50.24 inc.

Answer:

80

Step-by-step explanation:

Because 400 times 20% is 80 so 80 would be the missing value.

Answer: 2000

Step-by-step explanation:

20% of x = 400

20% = 0.2

[tex]0.2x=400[/tex]

x=2000

Answer:

Step-by-step explanation:

2x + 11 + 70 + 75 = 180

2x = 180 - 11 - 70 - 75

2x = 24

x = 12

----------

check

75 + 70 + 11 + 2 * 12 =              ( remember pemdas)

75 + 70 + 11 + 24 =

180°

the answer is good

Therefore the equation of the line in function-form is f(x)=-2x-1

An equation of a line on the cartesian plane is given by y=mx+c. Here m denotes the slope of the line and c denotes the y-intercept.

Slope of a line is defined as the inclination of the line along the positive   x- axis . Slope is calculated by the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on the line.

y-intercept is defined as the point where the line passes through the y-axis.

From the graph we can see that the line passes through (0,-1)and (-1,1)

therefore slope of the line is

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\or, m=\frac{1-(-1)}{-1-0}\\or, m=-2[/tex]

Now we know that the equation of a line passing through a point [tex](x_1,y_1)[/tex] and with slope m is given by

[tex]y-y_1=m(x-x_1)\\[/tex]

Substituting the values in the equation we get

y-(-1)=-2(x-0)

or, y=-1-2x

Therefore the equation of the line in function-form is f(x)=-2x-1 .Hence the second option is correct.

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Boris can expect to break even ( neither gain or lose money) is the answer.

The probability of a number is calculated by dividing Favorable outcome by Total outcome.

The probability of a number between 1 to 10 = Favorable outcome/Total outcome

Favorable outcome =1 (any one number )

Total outcome = 10

Here p(x) is equal to 1 divided by 10

P(X)= 1/10= 0.1

The table gives us the Amount when we multiple X to P(X),

Expected value = (XiP(Xi))

When we substitute the value we get,

=(10.1)+(-50.1)+(30.1)+(-50.1)+(50.1)+(-50.1)+(70.1)+(-50.1)+(90.1)+(-50.1)

=0

So we will get zero after substituting the value.

Hence, option C Bories can Expect to break even (Neither gain or lose money) is the correct answer.

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The graph of the equation y = m x + b where m = 2 and b = - 3 has been obtained.

We are given the function:

y = m x + b

We are also given that:

m > 0 and b < 0

Now lets assume m = 2 and b = -3

So, we get the equation as:

y = 2 x - 3

Now, we have to graph the equation.

We get some values of x and y as:

x        0        1        2

y      - 3      - 1        1

Therefore, the graph of the equation y = m x + b where m = 2 and b = - 3 has been obtained.

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