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bulgar [2K]
3 years ago
8

What is the graph of y = cos(x) +3?

Mathematics
2 answers:
jek_recluse [69]3 years ago
5 0

Graph y=cos(x)+3. y=cos(x)+3. Use the form acos(bx−c)+d a c o s ( b x - c ) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. a=1.

dimaraw [331]3 years ago
4 0

Answer:

Given function: f(x) = cos x + 3

To Draw: Graph of f(x)

As we know graph of trigonometric function cos x is a continuous graph with amplitude 1 .i.e., graph is 1 unit above and 1 unit down from the middle of graph.

If we add a constant to the trigonometric function it does not change any thing it just shift the function up or down according to value of constant.

Here 3 is added to cos x ⇒ Gr pah of cos x will be shifted 3 units upward.

Therefore, The graph we obtain is attached.

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What is an equivalent expression for x=3y-2
ioda
X = 3(y - 2/3) ...distribute thru the parenthesis
x = 3y - 6/3...reduce
x = 3y - 2

so ur answer is : x = 3(y - 2/3)
5 0
2 years ago
Evaluate.
lys-0071 [83]

Answer:

  361/900

Step-by-step explanation:

  \left(-\dfrac{1}{6}+0.6\left(-\dfrac{1}{3}\right)+1\right)^2=\left(-\dfrac{1}{6}-0.2+1\right)^2\\\\=\left(1-\left(\dfrac{1}{6}+\dfrac{1}{5}\right)\right)^2=\left(1-\dfrac{5+6}{6\cdot5}\right)^2=\left(\dfrac{19}{30}\right)^2=\boxed{\dfrac{361}{900}}

8 0
2 years ago
Help plzzz thank you !
VashaNatasha [74]

Answer:

a. Ameribank-$15,157.50

b. Capital Two-$4,646.25

Step-by-step explanation:

a. Tad's savings is $15,000, we calculate his total amount at the end of the year for each bank:

#Ameribank

A=P+I=P+PRT\\\\=15000+15000\times 0.0105\times 1\\\\=\$15,157.50

#Huffington( we use the effective rate to calculate the compound amount):

i_m=(1+i/m)^m-1\\\\=(1+0.0095/12)^[12}-1=0.009541\\\\A=P(1+i_m)^n\\\\=15000(1.009541)^1\\\\=\$15,143.12

#Sixth-Third, Take 1 yrs=52 weeks:

i_m=(1+i/m)^m-1\\\\=(1+0.01/52)^{52}-1=0.01005\\\\A=15000(1.01005)^1\\\\=\$15,150.74

#Hence, Ameribank is the best option as his money grows to $15,157.50 which is greater than all the remaining two options.

b. We use the compound interest formula A=P(1+r/n)^{nt} to determine which bank gives the best option:

#Capital Two. r=3.75%, n=12,t=4

A=P(1+r/n)^{nt}\\\\=4000(1+0.0375/12)^{12\times4}\\\\=\$4,646.25

#J.C Morgan, t=2, r=3.55% n=12

A=P(1+r/n)^{nt}\\\\=4000(1+0.0355/12)^{12\times 2}\\\\=\$4,293.87

#Silverman Slacks, n=12,t=3, r=3.65%

A=P(1+r/n)^{nt}\\\\=4000(1+0.0365/12)^{12\times3}\\\\=\$4,462.14

We compare the investment amounts after t years:

Capital>Silver>Morgan=4646.25>4462.14>4293.87

Hence, Capital two is the best option with an investment amount of $4,646.25

8 0
3 years ago
Read 2 more answers
HELP WILL GIVE BRAINLIEST
AnnyKZ [126]
<h2>Good evening ,</h2>

<em><u>Answer</u></em>:

q=-10

<em><u>Step-by-step explanation:</u></em>

D:y=-3x+q

let’s find q

A(-4,2)∈D ⇔ 2=-3(-4)+q ⇔ q=-10

then D:y=-3x-10

look at the photo for more details.

______________

:)

5 0
2 years ago
Which statement is correct about relations and functions?
artcher [175]
It is number 3 I am pretty sure if it’s wrong I’m sorry but I got it right on mine
3 0
3 years ago
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