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2 years ago

Which transformation causes the described change in the graph of the function y = cos x?

Mathematics

2 answers:

Gala2k [10]2 years ago

5 0

Answer:

See image.

Step-by-step explanation:

If there is a whole number multiplied by the x, its a horizontal shrink.

If there is a whole number multiplied by the whole function, its a vertical stretch.

If there is a fraction multiplied by the x, its a horizontal stretch.

If there is a fraction multiplied by the whole function, its a vertical shrink.

tia_tia [17]2 years ago

4 0

A: a horizontal shrink would be caused by cos 3x.
B: a vertical stretch would be caused by 3 cos x
C: a horizontal stretch would be caused by cos (1/3)x
D: a vertical shrink would be caused by 1/3 cos x.

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Factorize the following algebraic expression:

Hoochie [10]

X^2+16-38=0
find what 2 numbers multiply to get -38 and add to get 16
find factors of 38
2 times 19
there is no way to use common factor so use quadratic formula which is
x= $\frac{ -b+\sqrt{b^2-4ac} }{2a}$ or x= $\frac{ -b-\sqrt{b^2-4ac} }{2a}$

ax^2+bx+c=0 subsitte
a=1
b=16
c=-38
subsitute
$\frac{ -16+\sqrt{16^2-4(1)(-38)} }{2(1)}$ = $\frac{ -16+\sqrt{256+152} }{2}$ = $\frac{ -16+\sqrt{408} }{2}$ = $\frac{ -16+2\sqrt{102} }{2}$ = $-8+\sqrt{102}$
so the answers for x are $-8+\sqrt{102}$ and $-8-\sqrt{102}$ which are aprox -2.099504938362 and +18.099504938362
so it would be
(x-[-8+√102])(x+[8+√102])=0

6 0

2 years ago

Let t[1..n] be a sorted array of distinct integers, some of which may be negative. give an algorithm that can find an index i su

lisabon 2012 [21]

Assuming we need to find i such that
1 ≤ i ≤ n and t[i]=i.

If we need to find only the first occurrence, we can do:

for i:1 to n {
if t[i]=i then return(i)
}

If exhaustive search is required, then put the results (values of i) in an array or a linked list, return the number of values found, and the array (or linked list).

8 0

2 years ago

A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the

a_sh-v [17]

Answer:

Probability that the sample proportion will be less than 0.03 is 0.10204.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04.

Also, 469 are sampled.

<em>Let </em> $\hat p$ <em> = sample proportion</em>

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = true proportion = 0.04

n = sample size = 469

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, probability that the sample proportion will be less than 0.03 is given by = P( $\hat p$ < 0.03)

P( $\hat p$ < 0.03) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.03-0.04}{\sqrt{\frac{0.03(1-0.03)}{469} } }$ ) = P(Z < -1.27) = 1 - P(Z $\leq$ 1.27)

= 1 - 0.89796 = 0.10204

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 = 1.27 in the z table which has an area of 0.89796.

Therefore, probability that the sample proportion will be less than 0.03 is 0.10204.

5 0

2 years ago

The polygons to the right are similar. Find the values of each variable! ( simplify ur answer)

Sever21 [200]

Answer:

hi! i'm so sorry about your headache, hope it gets better !

still need help?

Step-by-step explanation:

4 0

2 years ago

Matt has 11 white buttons. He has 9 fewer brown buttons than white buttons. Matt has 17 more grey buttons than brown buttons. Ho

In-s [12.5K]

Answer: 32 buttons

Step-by-step explanation:

Matt has 11 white buttons.

Matt has 9 fewer brown buttons than white buttons. This means he has (11 -9) = 2 brown buttons

Matt has 17 more grey buttons than brown buttons. This means that he has (2 + 17) = 19 grey buttons.

The total number of buttons that Matt has will be;

= 11 white + 2 brown + 19 grey

= 32 buttons

7 0

2 years ago