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3 years ago

How many x-intercepts are in the quadratic equation y = 7x2 − 2x − 1

Mathematics

1 answer:

babunello [35]3 years ago

7 0

Answer:

There are 2 x intercepts

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the 6:00 a.m. temperatures for four consecutive days in the town of Lincoln were -12.1 C, -7.8 C, -14.3 C and -7.2 C what was th

Marrrta [24]

Answer:

-10.4

Step-by-step explanation:

You add all of the temperatures together and then divide the total by 4 (because there are four temperatures) and you get 10.35. You round that up to 10.4

3 0

3 years ago

The value of

marusya05 [52]

$\large\underline{\sf{Solution-}}$

We have to find out the value of the fraction.

Let us assume that:

$\sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } }$

We can also write it as:

$\sf \longmapsto x =2 + \dfrac{1}{x}$

$\sf \longmapsto x =\dfrac{2x + 1}{x}$

$\sf \longmapsto {x}^{2} =2x + 1$

$\sf \longmapsto {x}^{2} - 2x - 1 = 0$

Comparing the given equation with ax² + bx + c = 0, we get:

$\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}$

By quadratic formula:

$\sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2}$

$\sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2}$

$\sf \longmapsto x = 1 \pm\sqrt{2}$

$\sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}$

But "x" cannot be negative. Therefore:

$\sf :\implies x = 1 + \sqrt{2}$

So, the value of the fraction is 1 + √2.

4 0

2 years ago

Solve y + 4 > - 2.2. Check your solution.

maks197457 [2]

Pretty sure its y > -6.2
This is because you subtract 4 from both sides and get y > -6.2
Please correct me if im wrong thx!

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3 years ago

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If a TV costs $310 and you have to pay a 7% sales tax, how much tax will you have to pay?

Bumek [7]

You will have to pay $21.70

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3 years ago

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Three times a number increased by eight is no more than a number decreased by four

Westkost [7]

Answer:

x is no more than -6

Step-by-step explanation:

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3 years ago

How many x-intercepts are in the quadratic equation y = 7x2 − 2x − 1​

How many x-intercepts are in the quadratic equation y = 7x2 − 2x − 1