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GalinKa [24]
3 years ago
15

Identify the x- intercepts of the graphed function.

Mathematics
1 answer:
yarga [219]3 years ago
3 0

The x-intercepts are indeed -1 and 1.

The increasing intervals are listed as (-1, 0) u (1, infinity) not because -1 and 1 are not included points of the function, but because the function is not differentiable in those points, so you can't tell whether the function is increasing or decreasing there.

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Solve the inequality 4t^2 ≤ 9t-2 please show steps and interval notation. thank you!​
FromTheMoon [43]

Answer: t\in [\dfrac{1}{4},2]

Step-by-step explanation:

Given

Inequality is 4t^2\leq9t-2

Taking variables one side

\Rightarrow 4t^2-9t+2\leq0\\\Rightarrow 4t^2-8t-t+2\leq0\\\Rightarrow 4t(t-2)-1(t-2)\leq0\\\Rightarrow (4t-1)(t-2)\leq0

Using wavy curve method

t\in [\dfrac{1}{4},2]

3 0
2 years ago
Use the discriminant to describe the roots of each equation. Then select the best description. 2 = x2 + 5x. A) Double root B) Re
fredd [130]

\bf 2=x^2+5x\implies 0=x^2+5x-2\\\\\\\qquad \qquad \qquad \textit{discriminant of a quadratic}\\\\\\0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+5}x\stackrel{\stackrel{c}{\downarrow }}{-2}~~~~~~~~\stackrel{discriminant}{b^2-4ac}=\begin{cases}0&\textit{one solution}\\positive&\textit{two solutions}\\negative&\textit{no solution}\end{cases}\\\\\\(5)^2-4(1)(-2)\implies 25+8\implies 33


so we have a 33, namely two real solutions for that quadratic.


usually that number goes into a √, if you have covered the quadratic formula, you'd see it there, namely that'd be equivalent to √(33), now 33 is a prime number, and √(33) is yields an irrational value, specifically because a prime number is indivisible other than by itself or 1.


so 33 can only afford us two real irrational roots.

3 0
3 years ago
3 bags of chips cost 14.70 what is the price per bag
yawa3891 [41]

Answer:

4.90

Step-by-step explanation:

p/a=x

price/amount=x

14.70/3=4.90

7 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-6,6) and has an undefined slope ?
Likurg_2 [28]

Answer:

x = -6

Step-by-step explanation:

7 0
3 years ago
Szybko pomocy wykonaj mnożenie i zredukuj wyrazy podobne (x-4) (x-3) + (2-x) (x-1).
rusak2 [61]

 (x - 4)(x - 3) + (2 - x)(x - 1)

= x² - 3x - 4x + 12 + 2x - 2 - x² + x

= x² - x²     -3x - 4x + 2x + x     +12 - 2  

=     0                   -4x                    +10

Answer: -4x + 10

5 0
4 years ago
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