Answer:
<em>-9.5 + 6x ≥ 42.1 </em>
<em>6x ≥ 51.6</em>
x ≥ 8.6
Here, we can see that x is greater than or equal to 8.6. So, we can say that 8.6 is the lowest value of x
but we have 2 options with 8.6 as the lowest term, we can see that the brackets are different in the beginning
the '[' bracket tells us to include 8.6 in the values of x whereas the '(' bracket tells to exclude 8.6 from the possible values of x
since we know that x is greater than or equal to 8.6, we will use the '[' bracket
Hence, b is your answer
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Answer:
To find the x-intercepts we can write:
0 = -1/2(x + 3)² + 4
0 = -1/2(x² + 6x + 9) + 4
0 = -1/2x² - 3x - 9/2 + 4
0 = -1/2x² - 3x - 1/2
0 = x² + 6x + 1
x = -3 ± 2√2 (use quadratic formula)
As a decimal this can be written as x = -5.83, x = -0.17.
Answer:
0.021g
Step-by-step explanation:
Answer:
(5, 0 )
Step-by-step explanation:
Given the 2 equations
y = x² - 2x - 15 → (1)
y = 8x - 40 → (2)
Substitute y = x² - 2x - 15 into (2)
x² - 2x - 15 = 8x - 40 ( subtract 8x - 40 from both sides )
x² - 10x + 25 = 0 ← in standard form
(x - 5)² = 0 ← in factored form, thus
x - 5 = 0 ⇒ x = 5
Substitute x = 5 into (2) for corresponding value of y
y = 8(5) - 40 = 40 - 40 = 0
Solution is (5, 0 )
