MATHEMATICS COLLEGE

Determine the sum of the arithmetic series 6 + 11 + 16 +......
91.

Answers

Answer 1

Answer:

Answer:

873

Step-by-step explanation:

so the equation is: 5x+1

sum is:

$(first \: one \: + \: last \: one)/(2) * quantity \: of \: terms \n$

we have 6( 5×1+1) to 91 (5×18+1)

so we have 18 terms

then:

$(91 + 6)/(2) * 18 = 873$

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Write the equation in standard form using integers y=3x+8

Answers

Answer:

3x − y = −8

Step-by-step explanation:

At its highest point, the elevation of a county is 5,776 feet above sea level. At its lowest point, the elevation of the county is 6 feet below sea level. Write an expression using integers to represent the difference between the elevations.
(Do not simplify.)

Answers

The expression that represents the elevation is 5,776-(-9)=5,785.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that at its highest point, the elevation of a county is 5,776 feet above sea level. At its lowest point, the elevation of the county is 6 feet below sea level.

The expression will be generated by subtracting the two heights.

5,776-(-9) = 5,785.

Therefore, the expression that represents the elevation is 5,776-(-9)=5,785.

To know more about an expression follow

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Answer:

5,776-(-9)

positive

5,785

Step-by-step explanation:

Write an integer that represents the elevation of a county feet below sea level.

Solve graphically, 2x^2+2x-4=0

Answers

The answer is in the picture below !

What is the slope of the line passing through the given points.
(-3,2), (6,-1)

Answers

Answer:

-1/3

Step-by-step explanation:

Since we are given two points, we can find the slope using

m = ( y2-y1)/(x2-x1)

= ( -1-2)/( 6- -3)

= ( -1-2) /( 6+3)

= -3/9

= -1/3

Answer:

Slope (m) = $(-1)/(3)$ = -0.33333333...

Step-by-step explanation:

Slope (m) = ΔY -1

ΔX 3

(m)= -1/3

Which technique is most appropriate to use to solve each equation?Drag the name of the technique into the box to match each equation

Answers

(x+3)(x+2)=0 zero product property
x^2+6=31 square root property

Answer:

Step-by-step explanation:

(A) The given equation is:

$(x+3)(x+2)=0$

The above equation can be solved using the zero product property which states that if $ab=0$ , then either $a=0$ or $b=0$ or both can be equal to zero, therefore the solution of the above equation will be:

$x=-3$ or $x=-2$ .

(B) The given equation is:

$x^2+6=31$

The above equation can be solved using the square root property which states that we isolate the $x^2$ term and take the square root of the number on the other side of the equals sign, therefore the solution of the above equation will be: