40. What is the value of x? (7x – 8)° (6x +11°) Drawing not to scale
2 answers:
<u>Answer:</u>
- <u>The value of x is 19.</u>
<u>Step-by-step explanation:</u>
<u>We know that both of these expressions are equal because of vertically opposite angles. Let's solve.</u>
- => 7x - 8 = 6x + 11
- => 7x - 6x = 19
- => x = 19
<u>Hence, the value of x is 19.</u>
Hoped this helped.
Answer:
x= 19
Step-by-step explanation:
Recall the Vertical Angles Theorem which states that when two lines intersect, vertical angles are congruent. In this case, 7x-8 and 6x +11 are vertical angles, so they are congruent. We can conclude that an equation can be made to find the value of x where:
Solve out the equation to find the value of x.
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Answer:
The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Step-by-step explanation:
Given
We know the rational zeros theorem such as:
if is a zero of the function
,
then .
As the is a polynomial of degree
, hence it can not have more than
real zeros.
Let us put certain values in the function,
,
,
,
,
,
,
,
,
From the above calculation results, we determined that zeros as
and
.
Hence, we can check that
Observe that,
,
increases rapidly, so there will be no zeros for
.
Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.