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3 years ago

Plz help will give what I got (74 points)

Mathematics

1 answer:

meriva3 years ago

3 0

Answer:

When written in "vertex form":

• (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.

• the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0).

• the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).

• notice that the h value is subtracted in this form, and that the k value is added.

If the equation is y = 2(x - 1)2 + 5, the value of h is 1, and k is 5.

If the equation is y = 3(x + 4)2 - 6, the value of h is -4, and k is -6.

Step-by-step explanation:

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You buy 1 1/4 yards of fabric and an $8 clothing pattern. Your total cost with a 6% sales tax added is $18.55. What is the cost

Paraphin [41]

First we can divide it by 106 then multiply it by 100 to get rid of the 6% sales tax, which now the cost of the stuff is $17.50.
Next, we subtract 8 from this to represent the clothing pattern cost. Now it is $9.50.
The last stap to this is to divide it by 1 1/4 to get the final cost per yard:
The fabric costs $7.60 per yard. Hope this helps!

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3 years ago

Please help me with the below question.

Snezhnost [94]

6a. By the convolution theorem,

$L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}$

6b. Similarly,

$L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}$

7. Take the Laplace transform of both sides, noting that the integral is the convolution of $e^t$ and $f(t)$ .

$\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau$

$\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)$

where $g(t) = e^t$ . Then $G(s) = \frac1{s-1}$ , and

$F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}$

We have the partial fraction decomposition,

$\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)$

Then we can easily compute the inverse transform to solve for f(t) :

$F(s) = -\dfrac1s + \dfrac4{s+3}$

$\implies \boxed{f(t) = -1 + 4e^{-3t}}$

6 0

2 years ago

Please help! Correct answers only please!

gulaghasi [49]

Answer:

1/4

Step-by-step explanation:

Since on this spinner, there are 2 odd numbers, 2 even numbers, and 4 numbers in total, for the both spins there is a 1/2 probability that you land on the desired outcome. 1/2*1/2=1/4. Hope this helps!

7 0

3 years ago

Coach Hutchison is the basketball coach at school . she asks players to record their heights. The histogram shows the data she h

uranmaximum [27]

Answer:

The unit of measure used in the study is "inches"

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3 years ago

Inverse of f(x) = x2 − 9

luda_lava [24]

To find the inverse of a function, replace every x in the equation with a y, and replace every y in the equation with an x:

$x = y^{2} - 9$

Add 9 to both sides:

$y^{2} = x + 9$

Square root both sides to get y by itself:

$y = \sqrt{x+9}$

This equation can be simplified by taking the square root of 9 out of the root:

$\sqrt{9} = 3$
$y = 3 + \sqrt{x}$

The inverse of this function is y = 3 + √x.

7 0

3 years ago

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