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Aneli [31]
3 years ago
9

(easy)

Mathematics
1 answer:
Andreyy893 years ago
7 0

Answer:

<h2>9 weeks</h2>

Step-by-step explanation:

Sol had $1535 in his savings

has been spending $30 each week for guitar lessons.

If his current balance is $1265

find:

how many weeks has he been taking lessons?

$1535 - $1265 = $270

<u>            $270      </u>  =  9 weeks

$ 30 per week

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Ayana's favorite brownie recipe calls for 1/2 of a cup of flour for every 1/3 of a cup of cocoa powder. For a bake sale, she pla
ELEN [110]

Answer:

either a full cup or 1 1/2

Step-by-step explanation:

7 0
3 years ago
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Find the least common denominator of the fractions 5/12 and 2/5.
Gemiola [76]
The LCD (least common denominator) is the lowest number that both denominators (12 and 5) go into. The lowest number that both 5 and 12 go into is 60. The LCD of the two fractions is 60.
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Johanna used tiles to build a rectangler array with an array with an areavof 54.list all the possible dimensions of the array
lyudmila [28]
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4 0
3 years ago
Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.
Bas_tet [7]

Answer:

The function touches the damping factor

at x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

The x-intercept of f(x) is

at x=n\pi

Step-by-step explanation:

Given function is f(x)=e^{-3x} sin(x) and damping factor as y=e^{-3x} and y=(-1)e^{-3x}

To find when function touches the damping factor:

For f(x)=e^{-3x} sin(x) and y=e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=e^{-3x}

sin(x)=1

x=\frac{(4n-3)\pi}{2}

For f(x)=e^{-3x} sin(x) and y=(-1)e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=(-1)e^{-3x}

sin(x)=(-1)

x=\frac{(4n-1)\pi}{2}

Therefore, The function touches the damping factor x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

To find x-intercept of f(x):

For x-intercept, y=0

f(x)=e^{-3x} sin(x)

y=e^{-3x} sin(x)

e^{-3x} sin(x)=0

Hence, e^{-3x} is always greater than zero.

Therefore,sin(x)=0

x=n\pi

Thus,

The x-intercept of f(x) is at x=n\pi

7 0
3 years ago
Graph - 9x + 6y = 18 using linear standard form
postnew [5]

Answer:

The graph is attached Below and the plotting is given below.

Step-by-step explanation:

Given:

-9x + 6y = 18

Solution:

To draw a line on a graph the required minimum two points but here we will have three points as point A, point B, and point C.

For point A

Put x = -4 in the given equation we get

-9×-4 + 6y = 18

6y = 18-36

∴ y=\frac{-18}{3}\\ \\y=-3

∴ Point A ≡ ( -4, -3 ).

For point B

Put x = -2 in the given equation we get

-9×-2 + 6y = 18

6y = 18 - 18

6y = 0

∴ y=\frac{0}{3}\\ \\y=0

∴ Point B ≡ ( -2, 0 ).

For point C

Put x = 0 in the given equation we get

-9×0 + 6y = 18

6y = 18

∴ y=\frac{18}{3}\\ \\y=3

∴ Point C ≡ ( 0, 3 ).

Now we have Point A ,B and C join it and you will have Line.

3 0
3 years ago
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