Area of square = 2^2 = 4
area of trapezoid = 1/2(4+7)(6) = 1/2(11)(6) = 33
area of figure = 33 - 4 = 29
answer
29 cm^2
Answer:
5 • 10^-4 I evaluate this by using scientific notation.
Answer:
Domain: input values, independent variables
Range: output vales, dependent variables
Step-by-step explanation:
Think of it like a graph: the domain are the x-values and the range is the y-values. if you're doing a problem with time, the time will go on the x-axis and cannot be influenced by the y-values, but the y-vales are depending on what the x-values are (independent/dependent). for the input/output, usually when solving equations on a graph, you plug in the x-value and find the y-value. you're INPUTTING the x-value to receive the OUPUT.
Answer:
<u> There is no point where x = 3.5</u>
Step-by-step explanation:
Given the inequality
5x – 3 > 14.5
We are to find the range of all values of x
Add 3 to both sides of the equation;
5x - 3 + 3 > 14.5+ 3
5x > 17.5
x > 17.5/5
x > 3.5
Also for the inequality;
Cross multiply;
Subtract from both sides;
The solution to both inequalities are x > 3.5 and x < 3.5. <u>Since there is no point where x = 3.5</u>, hence the solution will have solution on all real numbers except at x = 3.5
Remember to follow the order of operation, PEMDAS. PEMDAS stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
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5. 9(7x - 4) = 27
First, distribute 9 to all terms within the parenthesis:
9(7x - 4) = 27
(9 * 7x) - (9 * 4) = 27
63x - 36 = 27
Next, isolate the variable, x. Do the opposite of PEMDAS.
First, add 36 to both sides:
63x - 36 (+36) = 27 (+36)
63x = 27 + 36
63x = 63
Isolate the variable, x. Divide 63 from both sides:
(63x)/63 = (63)/63
x = 63/63 = 1
x = 1
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6. 5(3x + 8) = 175
First, distribute 5 to all terms within the parenthesis:
5(3x + 8) = (5 * 3x) + (5 * 8) = 15x + 40
15x + 40 = 175
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 40 from both sides:
15x + 40 (-40) = 175 (-40)
15x = 175 - 40
15x = 135
Next, divide 15 from both sides of the equation:
(15x)/15 = (135)/15
x = 135/15 = 9
x = 9
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