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HACTEHA [7]
3 years ago
15

A large pizza at Little Italy costs $7.00 plus $0.80 for each topping. The cost of a large cheese pizza at Spinato's is $7.60 pl

us $0.70 for each topping. How many toppings need to be added to a large cheese pizza to make the costs of the pizza be the same?
Mathematics
1 answer:
laiz [17]3 years ago
6 0
At the start you will start with $7 and $7.60 there is a simple way and a more complex process. The simple way is using the formula of y=mx+b so y=.8x+7 and the other way is just too add .8 to 7 and .7 to 7.6 and keep doing that till you get the answer. The answer is 7, seven topping have to be added to make them the same price.
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If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k?
lys-0071 [83]

Answer:

2

Step-by-step explanation:

So I'm going to use vieta's formula.

Let u and v the zeros of the given quadratic in ax^2+bx+c form.

By vieta's formula:

1) u+v=-b/a

2) uv=c/a

We are also given not by the formula but by this problem:

3) u+v=uv

If we plug 1) and 2) into 3) we get:

-b/a=c/a

Multiply both sides by a:

-b=c

Here we have:

a=3

b=-(3k-2)

c=-(k-6)

So we are solving

-b=c for k:

3k-2=-(k-6)

Distribute:

3k-2=-k+6

Add k on both sides:

4k-2=6

Add 2 on both side:

4k=8

Divide both sides by 4:

k=2

Let's check:

3x^2-(3k-2)x-(k-6) \text{ with }k=2:

3x^2-(3\cdot 2-2)x-(2-6)

3x^2-4x+4

I'm going to solve 3x^2-4x+4=0 for x using the quadratic formula:

\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\frac{4\pm \sqrt{(-4)^2-4(3)(4)}}{2(3)}

\frac{4\pm \sqrt{16-16(3)}}{6}

\frac{4\pm \sqrt{16}\sqrt{1-(3)}}{6}

\frac{4\pm 4\sqrt{-2}}{6}

\frac{2\pm 2\sqrt{-2}}{3}

\frac{2\pm 2i\sqrt{2}}{3}

Let's see if uv=u+v holds.

uv=\frac{2+2i\sqrt{2}}{3} \cdot \frac{2-2i\sqrt{2}}{3}

Keep in mind you are multiplying conjugates:

uv=\frac{1}{9}(4-4i^2(2))

uv=\frac{1}{9}(4+4(2))

uv=\frac{12}{9}=\frac{4}{3}

Let's see what u+v is now:

u+v=\frac{2+2i\sqrt{2}}{3}+\frac{2-2i\sqrt{2}}{3}

u+v=\frac{2}{3}+\frac{2}{3}=\frac{4}{3}

We have confirmed uv=u+v for k=2.

4 0
3 years ago
Given the following table of values for f(x), find f(2).
AleksandrR [38]

Step-by-step explanation:

Given F(x) is 5 10 8 5 7 14 where x is - 1 0 1 2 3 9,

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3 0
2 years ago
Help me do this plz
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<h2><u>Use this link to help you find your answer</u></h2><h2><u>http://www.emsisoft.com/</u></h2>
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4. Mario was asked to find the GCF of 15, 30, and 45. What number did he find? A. 15 C. 45 B. 30 D. 60
SVETLANKA909090 [29]
4. is A 15
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7 0
2 years ago
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velikii [3]

Answer:

$77.60

Hope this helps ^-^

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3 years ago
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