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3 years ago

To change the shape of a function, you need to __or compress it.

Mathematics

1 answer:

polet [3.4K]3 years ago

3 0

Answer: stretch

Step-by-step explanation:

Stretch and compression are the two ways to change the shape of a function

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A circle has a radius of 6. An arc in this circle has a central angle of 48 degress. What is the length of the arc?

notsponge [240]

Answer: $1.6\pi$

Step-by-step explanation:

If a circle has a radius of 6, then the perimeter of the circle is 12pi, or about 37.68. A circle has 360 degrees. Thus, the arc takes up 48/360 of the circle. Thus, simply multiply $\frac{48}{360} * 12\pi$ to get 5.024 or 1.6pi.

Hope it helps <3

3 0

3 years ago

Read 2 more answers

Which is the minimum or maximum value of the given function? a. The function has a minimum value of -2 b. The function has a min

Alex17521 [72]

Answer:

The function f(x) is not given, I used a different function but the approach and steps is the same .

Step-by-step explanation:

Given the function f(x) = 2x2 - 8x + 5

compare with the normal quadratic equation ; ax2 + bx + c = f(x)

a = 2, b = -8 and c = +5

since a is greater than zero i.e a > o {positive}

As such, it has a minimum

hence for minimum value; x = -b/2a

x = -(-8)/2 x 2

x = 8/4 = 2

plugging the values of x in f(x) ; f(2) = 2(2)^2 -8(2) + 5

f(2) = -3, hence it has minimum value and the minimum value is -3

3 0

3 years ago

X 81** *34*=246 <img src="https://tex.z-dn.net/?f=81x%20%2B%201%20%2B%203%7B4x%20%7D%20%3D%20246" id="TexFormula1" title="

anzhelika [568]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

$81^{x+1}+3^{4x}=246$

$81=3^4$

Rewrite equation: $3^{4\left(x+1\right)}+3^{4x}=246$

$3^{4\left(x+1\right)}=3^{4x}\times 3^4$

$3^{4x}\times 3^4+3^{4x}=246$

Factor out $3^{4x}$ :

$3^{4x}\left(3^4+1\right)=246$

Divide both sides by $(3^4+1)$ :

$\frac{3^{4x}\left(3^4+1\right)}{3^4+1}=\frac{246}{3^4+1}$

$3^{4x}=\frac{246}{3^4+1}$

$3^{4x}=\frac{246}{82}$

$3^{4x}=3$

Anything to the power of 1 is itself. Hence,

$4x=1\\$

$x=\frac{1}{4}$

3 0

3 years ago

Please answer soon I need this answer very quickly for math. Thank you!

Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

$a_n=4n+5$

1. First 5 terms:

For first 5 terms, we have to put n=1,2,...5,

So,

$For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25$

2. Sum of first 25 terms:

For that we have to find 25th term first

$a_{25} = 4(25)+5\\=100+5\\=105$

The formula for sum is:

$S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425$

3. Type of sequence

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

$d=4$

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago

| 3 x - 2 | = 4x + 4

Ugo [173]

Answer: -2/7

|3x - 2| - 4x = 4

1) (3х - 2) - 4х = 4, if 3x - 2 >= 0

2) -(3x - 2) - 4x = 4, if 3x - 2 < 0

3х - 4х = 4 + 2

-x = 6

x = -6

3х - 2 >= 0

3х >= 2

x >= 2/3 - wrong

-3х + 2 - 4х = 4

-7х = 2

x = -2/7

3x-2<0

3x<2

3(-2/7)<2-right

5 0

2 years ago