All categories

3 years ago

Consider the quadratic function f(x) = x2 – 8x – 4. What is the value of the leading coefficient?

1 answer:

5 0

D
there is always a 1 infront of a variable but since x2 has the largest degree it gives it priority over the others so what ever numbe in front of it is the leading coefficient

You might be interested in

The quotient of

vova2212 [387]

$\displaystyle{ \frac{y^2-16}{4y-16} \div \frac{y+4}{16y}= \frac{y^2-16}{4y-16}\cdot\frac{16y}{y+4}\\\\$

$\displaystyle{ = \frac{y^2-4^2}{4(y-4)} \cdot\frac{16y}{y+4}= \frac{(y-4)(y+4)}{4(y-4)}\cdot\frac{16y}{y+4} = \frac{16y}{4}=4y$

Answer: 4y

Remark: $y^2-4^2=(y-4)(y+4)$ by the difference of squares identity, or formula.

6 0

3 years ago

Suppose that the lifetime of tv tubes are normally distributed with a standard deviation of 1.1 years. Suppose that exactly 20%

IrinaK [193]

Answer:

4.924 years

Step-by-step explanation:

Lets denote X the lifetime of a tv tube (In years). X has distribution $N(\mu, 1.1)$ , with $\mu$ unknown.

We know that P(X < 4) = 0.2. Using this data, we can find the value of $\mu$ throught standarization.

Lets call $Z = \frac{X - \mu}{1.1}$ the standarization of X. Z has distribution N(0,1), and its cummulative function, $\phi$ is tabulated. The values of $\phi$ can be found in the attached file.

$P(X < 4) = P(\frac{X - \mu}{1.1} < \frac{4 - \mu}{1.1}) = P(Z < \frac{4 - \mu}{1.1}) = \phi(\frac{4 - \mu}{1.1}) = 0.2$

The value q such that $\phi (q) = 0.2$ doesnt appear on the table. We can find it by using the symmetry of the normal density function. The opposite of q, -q must verify that $\phi(-q) = 0.8$ , hence -q must be equal to 0.84. Thus, q = -0.84

But this value of q should match with the number $\frac{4 - \mu}{1.1}$ , so we have

$\frac{4- \mu}{1.1} = -0.84$

$4 - \mu = 1.1 * (-0.84) = -0.924$

$\mu = 4 - (-0.924) = 4.924$

Thus, the expected lifetime of TV tubes is 4.924 years.

I hope this works for you!

Download pdf

7 0

4 years ago

Please Awnser as soon as possiable

Cerrena [4.2K]

Answer:

GH and GI

Step-by-step explanation:

Yeah

5 0

2 years ago

Gianna brought seven necklaces for $50.75 and Winnie brought three necklaces for $24.60 who got the better deal

olganol [36]

Gianna paid less per necklace so she got the better deal

Gianna: 50.75 / 7 = 7.25
So she paid $7.25 per necklace
Winnie: 24.60 / 3 = 8.20
So she paid $8.20 per necklace

4 0

3 years ago

What is the perpendicular slope intercept form?

In-s [12.5K]

Answer:

y = -1/2x + 2.5

Step-by-step explanation:

- slope of a perpendicular line is the negative reciprocal of the original slope (2 in this case) so y = -1/2 x + c

- to find c we substitute the values from the given point into the equation

(0) = -1/2*(5) + c

- rearrange and calculate and you'll get c = 5/2 or 2.5

- replace the value of c and now you've got y = -1/2x + 2.5

6 0

3 years ago