Answer:
<h3>
The value of x is - 1 , - 6.25</h3>
Step-by-step explanation:
Given linear equation as :
3 - 2 x = - 5
<u>Rearranging the equation</u>
3 = 2 x - 5
<u>Taking square both side</u>
= (2 x - 5)²
Or, 9 x = 4 x² - 20 x + 25 [ from (a + b)² = a² + 2ab + b² ]
Or, 4 x² - 20 x - 9 x + 25 = 0
Or, 4 x² - 29 x + 25 = 0
The equation is in the form of quadratic equation i.e a x² + b x + c = 0
So, x =
Or, x =
Or, x =
Or, x =
Or, x = ,
Or, x = - 1 , - 6.25
So, The value s of x = - 1 , - 6.25
Hence, The value of x is - 1 , - 6.25 Answer
Use the rule (a^b)^(c) = a^(bc).
[5^(1/3)]^(3)
5^(1/3)(3)
5^(1)
Answer: 5
Answer:
Domain : { -3, 0, 3}
Range : { 1 , 1 , 1 }
Function : These set of ordered pairs are functions as every x-value has only one y-value associated with it.
Answer:
CE = 3
Step-by-step explanation:
Given 2 intersecting chords then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
x(x + 1) = 3 × 4 = 12
x² + x = 12 ( subtract 12 from both sides )
x² + x - 12 = 0 ← in standard form
(x + 4)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 3 = 0 ⇒ x = 3
But x > 0 so x = 3
Then
CE = x = 3
Answer: D. She is above 11.5% of test takers
Step-by-step explanation:
So logically we can eliminate like 3 answers and let me explain why
So first we can eliminate both A and B because the question asks "Does this score place Sheila in the bottom 10% of test takers?" If the answer were<u> yes </u>she wouldn't be "above 8.5%" or "above 11.5%" because she would be below.
So that would leave both C and D right. Lets look at C first. It says "No, she is above 8.5% of test takers" But if she is above 8.5% she could hypothetically be in the 9% or the 9.5% of test takers. Since this answer doesn't gurantee she would be above 10% we can't choose it. Now D it says "No, she is above 11.5% of test takers" This is correct because She is not in the bottom 10% because according to the empirical rule she is I would say around or just under 16% of test takers. Also the 11.5% part gurantees that anything above the number 11.5 is greater than 10%. Unlike in C which only says the number is greater than 8.5 which means the number could be 8.6 which is NOT greater than 10.