Answer:
Number line 3 also known as [C]
Step-by-step explanation:
<em>Given that:</em>
<em>c ≤ </em>-1
Knowing that:
≤ = Less than or equal to
Now substitute into the equation:
C less than or equal to -1
Thus, it going left on a number line.
The only number line with left is [A] and [C]
Since ≤ = Less than or equal to -1
then, it including -1
also known as a closed circle means the number is included and an open circle means it is not.
Hence, it closed circle.
Thus, the answer is [C]
<u><em>Kavinsky</em></u>
Answer:
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Answer:
Option B. house B; monthly payment of $1,550.89 is the correct answer.
Step-by-step explanation:
In order to calculate the highest payment Pete can afford we have to subtract his expenses from his housing budget.
Given
Total housing budget = $2250
Monthly costs = $215.75
Utilities = $143.50
Taxes = $273
First all expenses can be added together to subtract from the housing budget.
So
Now the total monthly cost will be subtracted from housing budget.
Hence, he saves $1617.75 for monthly payment.
Looking at the options, C and D will be ruled out as both the quantities are greater than 1617.75
Option A and B both are smaller than 1617.75 but as $1,550.89>$1,327.18, Option B is the highest monthly payment Pete can afford.
Hence,
Option B. house B; monthly payment of $1,550.89 is the correct answer.
Let's take these one at a time.
A
The A choice is that the y intercept of g(x) < y intercept of f(x). Remember, a y intercept occurs when x = 0
g(x) = 2 * sqrt(x) - 8
g(0) = 2*0 - 8
g(0) = - 8
=======
f(x) = - 4 when x = 0 (you just read it.) - 4 is greater than -8. That's a true statement. Think money. Would you rather be 4 dollars in debt or 8 dollars in debt?
A: True <<<<<< answer for A.
B
y intercept occurs when x = 0 The values of f(x) and g(x) have been found in part A.
Are they equal?
The y intercept of g(x) = g(0) = 2*sqrt(0) - 8 = - 8
The y intercept of f(x) = f(x) = - 4 when x = 0
Conclusion
They are not equal and B is not the answer.
C
The x intercept occurs when y = 0
g(x) = 0
0 = 2*sqrt(x) - 8
8 = 2*sqrt(x)
4 = sqrt(x)
x = 16
======
When f(x) = 0, x = 16.
Conclusion
The x intercepts are both 16. This statement is true.
C: True <<<<<< answer.
D
If the condition is anything but equal, the statement is false. g(x) is not greater then f(x).
D <<<<<< False.
Answer:
Step-by-step explanation:
Area A = 15square cm
Length L = x
Width w = x - 2
Area = L × w
15 = x(x - 2)
15 = x^2 -2x
x^2 -2x - 15 = 0
Solving by factorization
x^2 - 5x + 3x - 15 = 0
(x^2 -5x) + (3x -15) = 0
x(x - 5) + 3(x - 5) = 0
(x + 3)(x - 5) = 0
(x + 3) = 0 or (x - 5) = 0
x = -3 or 5
Since x can't be negative therefore x is 5cm
Length = 5cm
Width = 5-2 = 3cm
