Solve the system using the elimination.

The most appropriate choice for Arithmetic series will be given by -

Sum from first [tex]m^{th}[/tex] term to the [tex]n^{th}[/tex] term = [tex]\frac{1}{2}[a_1(n - m)+na_n-ma_m][/tex]

What is arithmetic series?

Arithmetic series is a series where the consecutive terms of the series maintains a constant difference known as the common difference of the series.

If a be the first term of the series and d be the common difference of the series, then [tex]n^{th}[/tex] term of the series [tex]a_n[/tex] is given by

[tex]a_n = a+(n-1)d[/tex]

Here,

The sum of the first n terms of the arithmetic progression =

                                                                                        [tex]\frac{n}{2}(a_1 + a_n)[/tex]

The sum of the first m terms of the arithmetic progression =

                                                                                        [tex]\frac{m}{2}(a_1 + a_m)[/tex]

Sum from first [tex]m^{th}[/tex] term to the [tex]n^{th}[/tex] term =    [tex]\frac{n}{2}(a_1 + a_n)[/tex] - [tex]\frac{m}{2}(a_1 + a_m)[/tex]

                                                                 = [tex]\frac{1}{2}(na_1 + na_n-ma_1-ma_m)[/tex]

                                                                 = [tex]\frac{1}{2}[a_1(n - m)+na_n-ma_m][/tex]

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Answer:

1,500,000 is the answer

Answer:

Step-by-step explanation:

1,500,000 million, enjoy

Answer:

ok

Step-by-step explanation:

ok.............................

Okay, here we have this:

Considering the provided information, and that the form of the standard circle equation is (x-h)²+(y-k)²=r², where the centered at (h, k), and radius r, so replacing with the provided data, we obtain:

(x-h)²+(y-k)²=r²

(x-(-2))²+(y-(-3))²=(7)²

(x+2)²+(y+3)²=49

Finally we obtain that the correct answer is the first option

Answer:

and the fact that she got to the shoe store and bought it for her if she was a kid she would have a lot of gumball toys

Step-by-step explanation:

perpendicular

The points that  lie in the solution set of the system of inequalities graphed are: (7, 0), (3, 0), (9, -3)

In this question, we have been given a graph system of inequalities.

We need to select all points from the given list that lie in the solution set of the system of inequalities.

The solution set for given inequalities is the set of all points which satisfy inequalities.

The solution set is represented by the common region shaded between two inequalities.

From graph, we can see that the points (7, 0), (3, 0), (9, -3)  lie in the solution set of the system of inequalities graphed.

Therefore, the points that  lie in the solution set of the system of inequalities graphed are: (7, 0), (3, 0), (9, -3)

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c= 4√7

1) Given that we have a leg of 12 and a hypotenuse of 16 units. Let's use the Pythagorean Theorem to find the missing leg.

2) a² =b²+c²

hypotenuse² = leg² +leg²

16² =12² +c²

256= 144 + c²

256 -144 = c²

112=c²

√c²=√112

c=4√7 (approximately 10.58 units)

3) Hence, we can state that the missing leg has the size of 4√7 units

Answer:

.

Step-by-step explanation:

Rajesh's tax in 2028 is $11,779.50 based on his adjusted gross income (AGI), standard deduction, and filling status.

First, find the taxable income:

= adjusted gross income (AGI) - standard deduction

= 84,000 - 12,000

= $72,000

This taxable income is in the $38,700 - $82,500 bracket so Rajesh's tax in 2018 would be:

= 4,453.50 + 22% of the excess over $38,700:

Solving for the tax to be paid by Rajesh in 2018 is:

= 4,453.50 + ( 22% x (72,000 - 38,700))

= $11,779.50

In conclusion, the tax that Rajesh would pay in 2018 is $11,779.50.

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Answer:

Step-by-step explanation:

|5a+10|=|6a-8|

5a+10=±(6a-8)

5a+10=6a-8

10+8=6a-5a

a=18

or

5a+10=-(6a-8)

5a+10=-6a+8

5a+6a=8-10

11a=-2

a=-2/11

The common factors are; 1,2,4

We are given the expression 19a-3b=16c and told to write a verbal expression. This verbal expression should describe what is happening in the mathematical expression. Since we are multiplying 19 and a, we can describe this part by "19 times a". Then we are subtracting 3b, so we can say "19 times a minus 3 times b". Finally, we should describe that this expression is equal to 16 multiplied by c. This is achieved with the expression

"19 times a minus 3 times b equals 16 times c"

for -1:

the equation will be:

and we symplyfy so:

So the coordinate is:

for 0:

the equation will be:

so we simplify:

so the coordinate is:

and for 1:

the equation will be:

we simplify:

So the coordinate will be:

So the answer is A)

From the given graph of the system of equations

It is the point (2,0) is not on any of the graphs of f(x) and g(x). Also,

Since (2,0) doesn't satisfy given equations, therefore, (2,0) is not a solution of the given system.

It can be noted that the solution of the system is (0,2) as it lies on the intersection of f(x) and g(x)

ANSWER

30 students

EXPLANATION

The cost per student varies inversely as the number of students.

Inverse proportion is written as:

Let the cost per student be y.

Let the number of students be x.

It will cost each student $250 if 24 students attend. This means that:

If the cost is down to $200, it means that y is now $200.

That is:

Therefore, 30 students could attend.

Answer:

y – 9 = –6(x – 3)

y – 3 = –6(x – 9)

i think im not quit sure if this is correct but i hope this helps :)

It is given that AB is parallel to CD and the points E, G, H and F are collinear.

The measure of angle EGF is 180 degrees.

Now,

Angle AGE+angle AGF=180 degrees.

So, it happends using the addition property of equality.

Now, angle AGF and CHF are the same side interior angle.

Therefore, the correct option is (D)

Juan and Raj put 19/35 fraction of banana on their cereal.

What is a fraction?

A number that represents a rational number is called a common fraction. A decimal, percent, or negative exponent can all be used to represent the same number. For instance, the fraction 1/100 is equivalent to the values 0.01, 1%, and 102. The implicit denominator of an integer can be conceived of as being one (for instance, 7 = 7/1). The term "set of rational numbers" in mathematics refers to the collection of all numbers that can be stated in the form a/b, where a and b are integers and b is not zero. This collection is denoted by the letter Q, which stands for quotient. When a number can be expressed in that way, it is said to be a rational number (i.e., as a common fraction).

1/7 + 2/5

= (5 + 14)/35

= 19/35

Hence, Juan and Raj put 19/35 fraction of banana on their cereal.

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Given that a store purchased an item for $90.

They want a profit of 40% of their costs.

So, 40% of their costs = 40% of $90

= 40/100 * 90

= $36

Let y be the minimum selling price

So, from the question we c an say thst:

y = $(90 + 36)

y = $126

Therefore the minimum selling price of $126 would give the profit of 40% of their cost.

vertices: (3, 2) and (-1, 2)

foci: (1+√13, 2) and (1-√13, 2)

conjugate axis endpoints: (1, 5) and (1, -1)

asymptotes: y = 2 + 3/2(x - 1) and y = 2 - 3/2(x - 1)

The equation of a circle is given by the formula;

(x-h)² + (y-k)² = r²

r is the radius of the circle

(h,k) is the center of the circle

Smallest circle (Red circle)

r = 1

(h,k)= (0, 7)

substitute the values into the formular

(x - 0)² + (y-7)² = 1²

x²+ (y-7)² =1

Bigger circle (Blue circle)

r= 3 h=0 K=3

substitute the values into the formula

(x -0)² + (y-3)²= 3²

x² + (y-3)² = 9

Biggest circle ( Orange Circle)

r=5 h=0 K=-5

substitute the values into the formula and evaluate

(x-0)² + (y+5)² = 5²

x² +(y+5)² = 25

We will have that the cost of manufacturing would be:

So, the cost per box is $14.5.

we have

in standard form

The equation of the line is  [tex]f(x) =- \frac{1}{3}x -4[/tex]

How is the equation of the line calculated?

The line passes through the following points,

[tex](x_1,y_1)=(-6, -2)\\\\(x_2,y_2)=(-9,-1)[/tex]

The slope- intercept form of the equation,

y = mx +c  ----(1)

(a)What is the slope (m) ?

    [tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-1+2}{-9+6} \\\\m= \frac{1}{-3} \\\\m= -\frac{1}{3}[/tex]

(b) What is the constant ( c) ?

Substituting  [tex](x_1,y_1)[/tex] and m in (1)

    [tex]y = mx+c\\\\-2 = -\frac{1}{3} (-6)+c\\\\-2 = +2 +c\\\\c = -4[/tex]

Substituting m and c in (1)

y = mx +c

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

Using function notation, y = f(x)

The equation of the line is,

[tex]f(x) =- \frac{1}{3}x -4[/tex]

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Angle = 7.1°

The slope is positive ✨️