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stellarik [79]
3 years ago
12

Whats the cost of each vegetable if 5 squash and 2 zucchini is $1.32​

Mathematics
1 answer:
alex41 [277]3 years ago
3 0

Answer:

Step-by-step explanation:

 

We first need to define a couple of variables.  Let s = the cost of 1 squash and z = the cost of 1 zucchini.

 

Now lets translate the words into algebra:

 

"The cost of 5 squash and 2 zucchini is $1.32"  ===>  5s  +  2z  =  1.32

 

"Three squash and 1 zucchini cost $0.75"  ===>   3s  +  z  =  0.75

 

There are several ways to solve systems of equations.  Let's use substitution.  We can find what z equals in terms of s by manipulating the second equation:

 

 3s  +   z   =   0.75

-3s                 -3s

------------     -------------

           z    =  -3s  +0.75

 

Now lets substitute (-3s + 0.75) into the first equation for z, then solve for s:

 

 5s + 2(-3s + 0.75) = 1.32

 

Can you handle it from here?

 

(Hint: Once you have solved for s, you can substitute that value back into either of the equations and solve for z.)

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S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

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Step-by-step explanation:

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aleksley [76]

Answer:

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Step-by-step explanation:

9.82 ≈ 10

8 * 10 = 80

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alexdok [17]
Answer:
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trapecia [35]

Answer:

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Step-by-step explanation:

y = A cos ( Bx + C) + D

Vertical shift D = 0

A = - 1

Compression / Stretching B

Period of given function is \frac{8\pi }{3}

Period of cos x is 2π

\frac{8\pi }{3} = \frac{2\pi }{B} ⇒ B = \frac{3}{4}

Horizontal shift is C ÷ B

Horizontal shift of given function is \frac{\pi }{3}

\frac{\pi }{3} = C ÷ \frac{3}{4} ⇒ C = \frac{\pi }{4}

So, the equation of given function is

<em>y = - cos ( </em>\frac{3}{4}<em> x + </em>\frac{\pi }{4}<em> ) </em>

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