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3 years ago

What is the x-intercept of the graph of the function f(x)=x2-16x+64?

Mathematics

2 answers:

bekas [8.4K]3 years ago

7 0

Answer:

x-intercept: (8,0)

Step-by-step explanation:

Given: $f(x)=x^2-16x+64$

For x-intercept, Put y=0 and solve for x.

x-intercept: It is a point where y-coordinate zero.

$x^2-16x+64=0$

$x^2-8x-8x+64=0$

$(x-8)(x-8)=0$

Equate each factor to 0 and solve for x

x-8 = 0 , x-8 = 0

x=8,8

x-intercept: (8,0)

Hence, The x-intercept is 8.

Katena32 [7]3 years ago

3 0

X=8

Explanation:
f(x)=x^2-16x+64+(x-8)^2

You see there is a double x- intercept by the 8. So the parabola is tangent to the x axis. So x=8 f(x)=0

hope this helps

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The distribution of the number of transactions performed at a bank each day is approximately normal with mean 478 transactions a

jolli1 [7]

Answer:

e. 0.977

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

$\mu = 478, \sigma = 64$

Which of the following is closest to the proportion of daily transactions greater than 350?

This is 1 subtracted by the pvalue of Z when X = 350. So

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

$Z = \frac{350 - 478}{64}$

$Z = -2$

$Z = -2$ has a pvalue of 0.023

1 - 0.023 = 0.977

So the correct answer is:

e. 0.977

6 0

3 years ago

PLEASE GIVE AN EXPLANATION WITH YOUR ANSWER! The table below shows the change in the value of shares over the last three years.

gulaghasi [49]

First, lets convert them into multipliers:

The multiplier for a:

25% increase = 1.25

40% decrease = 0.6

40% increase = 1.4

Now to work out the overall percentage change, we just times all of the multipliers together, and convert it back to a percentage:

1.25 x 0.6 x 1.4 = 1.05

So the overall multiplier is 1.05

And a multiplier of 1.05 = a 5% increase.

That means that the percentage change is + 5%

_________________________________________

Answer:

The percentage change in shares from the start of 2013 to the end of 2015 is:

+ 5%

_______________________________________

Note: if you haven't been taught multipliers - then ask and I'll try my best to explain!

6 0

2 years ago

OMG NEED HELP NOW!!!!!!!!!!!!

IrinaK [193]

210 take 126/3 = 42 take 42x5 = 210

7 0

2 years ago

The speed of the current is 7 mph. The boat travels three times slower against the current than with the current. What is the sp

kotykmax [81]

Let the speed of the boat be x
so going against the current the speed is x-7
going with the current the speed is x+7

let the distance be d
time = distance / speed
time to go against the current = d/(x-7)
time to go with the current = d/(x+7)

time going against the current is 3 times going with the current

d/(x-7) = 3d/(x+7) ⇒⇒⇒ divide by d
1/(x-7) = 3/(x+7)
x+7 = 3(x-7)
x+7 = 3x - 21
2x = 28
x = 14

So, the speed of the boat in still water is = 14 mph

3 0

3 years ago

Solve 12y^-4z^-2/6z^2y^-1

Nadusha1986 [10]

Answer:

2/y^5

Step-by-step explanation:

not sure but i think its this

3 0

3 years ago