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pishuonlain [190]

3 years ago

12

A spinner is divided into 8 equal sections number 1 to 8. if the arrow is spun once, what is the probability it will land on a n

umber less than 8?
A.1/8
B.1/4
C.3/4
D.3/8

1 answer:

harina [27]3 years ago

4 0

This is really simple, its just 3/4.

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A sweater was originally 55$ it is now marked down to 65% of its original price how much is the sweater now

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2 years ago

In a coffee shop, the average drink is currently $4.50 while the average pastry is $2.25. You've made a total of $5,250 today. W

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Answer:

$4.50x+2.25y=5,250$ where $x$ denotes number of drinks and $y$ denotes number of pastries.

Step-by-step explanation:

Let $x$ denotes number of drinks and $y$ denotes number of pastries.

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Therefore,

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3 years ago

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<em> $\rm \: p(x) = - 5 {x}^{2} + 30x + 8$ </em>

<u>Identify the coefficients a and b of the quadratic function</u>

<em> $\rm \: p(x) = { - 5x}^{2} + 30x + 8 \\ \rm \: a = - 5 \: and \: b \: = 30$ </em>

<u>Since a<0, the function has the maximum value at x, calculated by substituting a and b into x=-b/2a</u>

<u> $\rm \: x = \frac{30}{ 2 \times (- 5)}$ </u>

<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>x</u><u> </u>

<u> $\rm \: x = 3$ </u>

<u>The maximum of the quadratic function is at </u><u>x</u><u>=</u><u>3</u>

3 0

1 year ago

Which one represents a function?

MArishka [77]

Answer:

Step-by-step explanation:

Figure it out

6 0

3 years ago

Find two values for k such that the trinomial x2 – 7x + k can be factored over the integers. Explain your reasoning.

vova2212 [387]

Answer:

1) For $a = 1$ : $b = 6$ and $k = 6$ , 2) For $a = 3$ : $b = 4$ and $k = 12$

Step-by-step explanation:

The polynomial $y = x^{2} - 7\cdot x + k$ is a second-order polynomial of the form $(x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b$ . By direct comparison, we construct the following system of equations:

$a + b = 7$ (1)

$a\cdot b = k$ (2)

By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both $a$ and $b$ are integers. We assume two arbitrary integers for $a$ :

1) $a = 1$

$b = 7 - a$

$b = 6$

$a\cdot b = k$

$k = (6)\cdot (1)$

$k = 6$

2) $a = 3$

$b = 7 - a$

$b = 4$

$a\cdot b = k$

$k = (3)\cdot (4)$

$k = 12$

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2 years ago