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Using the Quadratic Formula: x = −b ± b2− 4ac√2a solve for the following Quadratic trinomial: x2−10x + 4.75 Explain each step: 1

Komok [63]

Answer:

x = 19/2 and 1/2

Step-by-step explanation:

General form of a quadratic equation is expressed as:

ax²+bx+c = 0... (1)

The quadratic formula used to find the solution to the equation is given as:

x = -b±√b²-4ac/2a

Given the quadratic trinomial: x²−10x + 4.75... (2)

a) To get a, b and c, we will compare the given equation (2) to the general equation (1)

Based on the comparison,

a = 1, b = -10 and c = 4.75

b) We will substitute this values of a, b and c into the quadratic formula to have;

x = -(-10)±√(-10)²-4(1)(4.75)/2(1)

x = 10±√100-19/2

x = 10±√81/2

x = (10±9)/2

x = (10+9)/2 and (10-9)/2

x = 19/2 and 1/2

The answer to the equation are 19/2 and 1/2

6 0

2 years ago

The volume of a cube is 125m find it's side

leonid [27]

Answer:

41.6666666667m ( round to nearest whole number if you need to) -> 42m

Step-by-step explanation:

To find the volume

You multiply the length, width, and height. ( V= LxWxH)

So, divide 125 by 3 and you get 41.6666666667.

To check your answer: 41.6666666667 times 3 and you get 125.

I HOPE THIS HELPS YOU!! :)

7 0

2 years ago

A constant force of vector F = (23,33) moves an object along a vector D = (20,18) , where units are in pounds and feet. Find the

tatuchka [14]

The answer is c.1054 foot-pounds. :).
Work done in x-direction = 23 x 20 = 460.
Work done in y-direction = 33 x 18 = 594.
You then add, 460+594 =1054.

5 0

2 years ago

Read 2 more answers

Solve the inequalities:

xxTIMURxx [149]

Try this option (see the attached picture).

7 0

2 years ago

The lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 h

DaniilM [7]

Answer:

Probability that a battery will last more than 19 hours is 0.0668.

Step-by-step explanation:

We are given that the lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 hours.

Let X = lifetime of a battery in a certain application

So, X ~ N( $\mu=16,\sigma^{2} =2^{2}$ )

The z-score probability distribution for normal distribution is given by;

Z = $\frac{ X -\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean lifetime = 16 hours

$\sigma$ = standard deviation = 2 hours

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

So, the probability that a battery will last more than 19 hours is given by = P(X > 19 hours)

P(X > 19) = P( $\frac{ X -\mu}{\sigma}$ > $\frac{19-16}{2}$ ) = P(Z > 1.50) = 1 - P(Z $\leq$ 1.50)

= 1 - 0.9332 = 0.0668

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.50 in the z table which has an area of 0.9332.

Hence, the probability that a battery will last more than 19 hours is 0.0668.

5 0

3 years ago