Y = 4x + 3 ---------(1)
y = -x - 2 ---------(2)
Subtract (2) from (1), you get
0 = 5x + 5
⇒ 5x + 5 = 0
⇒ 5x = -5
⇒ x = -5/5 = -1
y = -(-1) - 2 = -1
Answer is (-1,-1)
Answer:
a. Divide the figure into two rectangles, find the area of each rectangle and add them (See the picture attached).
b. 
c. The total area of the figure is 279 square inches.
Step-by-step explanation:
a. Divide the figure into two rectangles (See the picture attached), then find the area of each rectangle and finally, add the areas calculated in order to get the total area of the given figure,
b. The area of a rectangle can be found using this formula:
Where "l" is lenght and "w" is the width.
Area of Rectangle A
You can identify that:
Then, its area is:
Area of Rectangle B
You can identify that:
Then, its area is:
Total area
c. The total area of the figure is 279 square inches.
Answer:
f(5) = 2
Step-by-step explanation:
it says to use the function (-x+3) for when x is bigger than 2
f(x) = (-x) + 3 replace x with 5
f(5) = (-5) + 3 and f(5) = 2
Operations are performed according to the Order of Operations. Sometimes the mnemonic PEMDAS or BIDMAS is used to remind you what the order is.
P/B - parentheses/brackets. The content of these is evaluated first.
E/I - exponents/indices. Exponentiation is done first, right to left: a^b^c = a^(b^c).
MD/DM - multiplication and division are done in order of appearance, left to right. Each has equal priority, neither is done before the other unless it appears in the expression first. a/bc = (a/b)c. ab/c = (ab)/c
AS - addition and subtraction are done in order of appearance, left to right. Each has equal priority.
_____
When functions are involved (sin( ), log( ), sqrt( ), for example), their arguments are evaluated according to the order of operations, then the function is evaluated, then the remainder of the operations are performed. For example, sin(a)^2 = (sin(a))^2. Sometimes, this is written sin^2(a).
When functions are written without parentheses around their arguments, it must be assumed that the function only applies to the first entity following the function name. log ab+c/d = (log(a)*b)+(c/d), for example, or √3x = (√3)x.
Answer:
11%
Step-by-step explanation:
<em>Percentage increase = (New average- previous average)/previous average x 100</em>
<em>New average: 1554</em>
<em>Previous average: 1400</em>
Percentage increase = (1554-1400)/1400 x 100
Percentage increase = 154/1400 x 100
Percentage increase = 0.11 x 100
Percentage increase = 11%
Therefore, the average increased by 11%.
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