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Olegator [25]
3 years ago
13

Fill in the blank:

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

Answer:

1) A number less than 32

2) 32

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The cost to produce a product is modeled by the function f(x) = 5x^2 − 70x + 258, where x is the number of products produced. Co
Advocard [28]

The minimum of a quadratic function, with a positive coefficient a, is its vertex.

Let's find the x₀ coordinate.

f(x) = 5x^2 -70x + 258\\\\x_0=\dfrac{-b}{2a}=\frac{-(-70)}{2*5}  =\frac{70}{10} =7

Now we need to find y₀ coordinate. That will be the minimum of function.

y_0=5\times7^2-70\times7+258=13

So, the minimum cost to produce the product is $13

Decompose 5x^2 − 70x + 258 into multipliers

5x^2 - 70x + 258=(5x^2-70x+245)+13=5(x^2-14+49)+13=\\=5(x-7)^2+13

Answer: 5(x − 7)^2 + 13; The minimum cost to produce the product is $13.

4 0
3 years ago
The table shows the distances and times that four people ran. Without making any calculations, who ran the fastest?
inysia [295]

Answer: C

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Helpp very much thank u!
r-ruslan [8.4K]

Answer:

C. 1/4

Step-by-step explanation:

Count the lines, Since there are 4 lines, has to be 0.25, 0.50, 0.75, 1.00

8 0
2 years ago
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Hernando ate 2/8 of a pizza for a dinner. He gave his 6 friends the rest of the pizza and told them to share it equally
vladimir2022 [97]

For this case we have that if Hernando ate pizza\frac {2} {8} we have left:

\frac {8} {8} - \frac {2} {8} = \frac {6} {8}

Those\frac {6} {8}pizza must be distributed equally among 6 people, then:

\frac {\frac {6} {8}} {6} = \frac {6 * 1} {6 * 8} = \frac {1} {8}

So, to each friend corresponds \frac {1} {8} of pizza

ANswer:

To each of the 6 friends corresponds \frac {1} {8}of pizza

7 0
3 years ago
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Wire 337,060 in expanded form using exponents
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3x10^5
+3x10^4
+7x10^3
+0x10^2
+6x10^1
+0x10^0
4 0
3 years ago
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