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Alona [7]
3 years ago
7

What is the discriminate of the equation 2x+5x^2=1?

Mathematics
1 answer:
galben [10]3 years ago
6 0

Answer:

24

Step-by-step explanation:

First we must recognize that this equation is a quadratic function, therefore we can use the quadratic equation and look only at the discriminate portion of that formula.  However, before doing so we need to set up our equation by taking the 1 to the other side and so:

2x+5x^2=1\\\\5x^2+2x-1=0

And we know that in general a quadratic function is such that:

ax^2+bx+c

And so our quadratic equation is:

\frac{-b \pm \sqrt{b^2-4ac} }{2a}

But we only need to look at what's under the square root meaning:

b^2-4ac

This is our discriminant and since a=5, b=2 and c=-1  we have:

b^2-4ac=(2^2)-4(5)(-1)=24

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For what value of x does (x + 3)^2-5=0
ArbitrLikvidat [17]

Answer:

x = -3±sqrt( 5)

Step-by-step explanation:

(x + 3)^2-5=0

Add 5 to each side

(x + 3)^2-5+5=0+5

(x + 3)^2 = 5

Take the square root of each side

sqrt((x + 3)^2 )=±sqrt( 5)

x+3 = ±sqrt( 5)

Subtract 3 from each side

x+3-3 = -3±sqrt( 5)

x = -3±sqrt( 5)

7 0
4 years ago
Each pizza costs $17.50 without toppings. Each topping added to the pizza is $2.35. if connor orders the a pizza and was charged
lapo4ka [179]
29.25
- 17.50 =
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4 0
3 years ago
Read 2 more answers
If the distribution is really (5.43,0.54)
defon

Answer:

0.7486 = 74.86% observations would be less than 5.79

Step-by-step explanation:

I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The general format of the normal distribution is:

N(mean, standard deviation)

Which means that:

\mu = 5.43, \sigma = 0.54

What proportion of observations would be less than 5.79?

This is the pvalue of Z when X = 5.79. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{5.79 - 5.43}{0.54}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486

0.7486 = 74.86% observations would be less than 5.79

7 0
3 years ago
Please help me with my work please help me please give me a good answer
Dvinal [7]
3: 8h+24 4: 6h+21 5: 15x+45y 6: 44h+12g
7: 7jk first box 12jm second box. 8: 9ab+13a
Basically you just want to multiply the number outside the parentheses to each number inside them.
8 0
3 years ago
Find the measure of angle A.<br> 66°<br> x +49<br> x+83
liubo4ka [24]

Step-by-step explanation:

Since , internal sum of angle of triangle is 180°

So,

66 + x +49 + x+83 = 180

or, 198 + 2x = 180

or, 2x = 180 -198

or, 2x = -18

hence, x = - 9

Now angle A = x + 49

= (-9) + 49

= 40

<u>Hence </u><u>measure</u><u> </u><u>of </u><u>angle </u><u>A </u><u>is </u><u>4</u><u>0</u><u>°</u><u>.</u>

8 0
3 years ago
Read 2 more answers
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