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mel-nik [20]
3 years ago
6

How many x-intercepts does the graph of y = 2x^2 + 5x +9 have?

Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

Answer:

2

Step-by-step explanation:

y = 0 at the point where the function intersects x-axis. Thus, yiou have to put

                                              2x2 + x - 10 = 0

and solve the equation. It is better to factor the quadratic expression, which gives us

                                             2x2 + x - 10 = (2x+5)(x-2) = 0

We have 2x +5 = 0     and x-2 = 0. Thus, the intercepts are x = -5/2 = - 2.5    and x = 2.

Read more on Brainly.com - brainly.com/question/12158546#readmore

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Write the phrase as an expression. Then evaluate when x=5. 6 more than the product of 8 and a number x
FrozenT [24]

The given phrase as expression is 6 + 8x

Evaluate when x = 5 is 46

<em><u>Solution:</u></em>

Given that we have to write the phrase as an expression

Given phrase is:

6 more than the product of 8 and a number x

Here " more than " represents "addition" and "product" means multiplication

Therefore,

6 + product of 8 and a number x

6 + (8 \times x)

<em><u>So the required expression is:</u></em>

6 + 8x

<em><u>Evaluate when x = 5</u></em>

Substitute x = 5 in above expression

6 + 8(5) = 6 + 40 = 46

Thus value when x = 5 is 46

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3 years ago
In ΔFGH, f = 60 cm, g = 10 cm and h=62 cm. Find the measure of ∠F to the nearest degree.
Nata [24]

Answer:

74  

Step-by-step explanation:

4 0
3 years ago
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Which choice correctly describes this event? I will draw two cards out of a standard deck of playing cards, and they will be 2 K
Colt1911 [192]

Answer: B. Unlikely

Step-by-step explanation:

Because....

You are not sure if that's possible because that's not something that happens normally so your chances are very unlikely. It's definitely not impossible because it all depends on your luck for some people it might happen. But that's why I'm saying that it's B. Unlikely.

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4 0
3 years ago
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What is the factored form of x2 – 6x – 16? (x – 4)(x – 2) (x + 4)(x – 2) (x – 2)(x + 8) (x – 8)(x + 2)
Mrac [35]

Answer:

(x-8) (x+2)

Step-by-step explanation:

x^2 – 6x – 16

Factor

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-8 *2 = -18

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(x-8) (x+2)

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3 years ago
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Nancy is making a kite based on the pattern below. About how much binding does Nancy need to cover the edges of the kite?
Ainat [17]

Check the picture below.

so the perimeter of the kite is x+x+y+y, namely 2x + 2y.


\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{8}\\ b=\stackrel{opposite}{15}\\ \end{cases} \\\\\\ x=\sqrt{8^2+15^2}\implies x=\sqrt{289}\implies \boxed{x=17} \\\\[-0.35em] ~\dotfill

\bf \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{8}\\ b=\stackrel{opposite}{4}\\ \end{cases}\implies y=\sqrt{8^2+4^2}\implies y=\sqrt{80}\implies \boxed{y\approx 8.94} \\\\[-0.35em] ~\dotfill\\\\ 2x+2y\implies 2(17)+2(8.94)\implies 51.88\implies \stackrel{\textit{rounded up more}}{51.9}

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4 years ago
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