Pls somebody help me with this question

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Natasha2012 [34]

Answer:

$x=\frac{50+\sqrt{31}}{2},\frac{50-\sqrt{31}}{2}$ are zeroes of given quadratic equation.

Step-by-step explanation:

We have been a quadratic equation:

$2x^2-10x-3$

We need to find the zeroes of quadratic equation

We have a formula to find zeroes of a quadratic equation:

$x=\frac{b^2\pm\sqrt{D}}{2a}\text{where}D=\sqrt{b^2-4ac}$

General form of quadratic equation is $ax^2+bx+c$

On comparing general equation with b given equation we get

a=2,b=-10,c=-3

On substituting the values in formula we get

$D=\sqrt{(-10)^2-4(2)(-3)}$

$\Rightarrow D=\sqrt{100+24}=\sqrt{124}$

Now substituting D in $x=\frac{b^2\pm\sqrt{D}}{2a}$ we get

$x=\frac{(-10)^2\pm\sqrt{124}}{2\cdot 2}$

$x=\frac{100\pm\sqrt{124}}{4}$

$x=\frac{100\pm2\sqrt{31}}{4}$

$x=\frac{50\pm\sqrt{31}}{2}$

Therefore, $x=\frac{50+\sqrt{31}}{2},\frac{50-\sqrt{31}}{2}$

5 0

3 years ago

Read 2 more answers

When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a

irga5000 [103]

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

6 0

2 years ago

I need help :/ i have five questions

IrinaK [193]

Answer:

Step-by-step explanation:

1. The given equation is:

$\frac{3}{5}{\times}\frac{4}{5}$

Multiplying both the terms, we get

$\frac{12}{25}$

Option A is correct.

2. The given equation is:

$2\frac{1}{3}{\times}\frac{3}{4}$

Converting the improper fraction into the mixed fraction,

$\frac{7}{3}{\times}\frac{3}{4}$

= $\frac{7}{4}$

Option C is correct.

3. The given equation is:

$\frac{3}{16}{\times}\frac{4}{21}$

Multiplying both the terms, we get

= $\frac{1}{28}$

4. The given equation is:

$3\frac{8}{9}{\times}4\frac{4}{5}$

Converting the improper fraction into the mixed fraction,

$\frac{35}{9}{\times}\frac{24}{5}$

= $\frac{56}{3}$

5. One package contains= $5\frac{1}{4}=\frac{21}{4}$ pounds of raisins.

$4\frac{2}{3}$ packages contains= $4\frac{2}{3}{\times}5\frac{1}{4}$ pounds of raisins.

= $\frac{14}{3}{\times}\frac{21}{4}$

= $\frac{49}{2}$

Therefore, the baker used $\frac{49}{2}$ pounds of raisins.

5 0

3 years ago

I need help I been stuck in this since last week help I don’t want to get it wrong please help

Virty [35]

Answer:

=3 + 4/12 + 3/12

Step-by-step explanation:

To make 1/3 into a twelfth, you have to multiply the 3 by 4 to get 12. Whatever you do to the top you have to do to the bottom, meaning that you have to multiply 1 by 4 to get 4 on top.

To make 1/4 into a twelfth, you have to multiply the 4 by 3 to get 12. Whatever you do to the top you have to do to the bottom, meaning that you have to multiply 1 by 3 to get 3 on top.

8 0

3 years ago

Find an exponential function that fits the information (hint: putting them in a table may help you see).

Vilka [71]

Answer:

f(x)=8*(3.5)^x

Step-by-step explanation:

2=98

3= 98r

4= 98r^2

5= 98r^3

6= 98r^4

98r^4/98, 98 crosses out and its just r^4. r^4= 14706.125/98

r=3.5

So you plug that in and you get f(x)=8*(3.5)^x

I hope this helped. XD

7 0

2 years ago

Pls somebody help me with this question​

Pls somebody help me with this question