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3 years ago

Plz answer this i need help its done today

Mathematics

1 answer:

olga55 [171]3 years ago

3 0

Answer:

1) 1/10

2) 1/2

3) 1/5

Step-by-step explanation:

1 favorable outcome and 10 total outcomes.

$P(3) = \frac{1}{10}$

5 favorable outcomes and 10 total outcomes

$P(even) = \frac{5}{10} = \frac{1}{2}$

2 favorable outcomes and 10 total outcomes

$P(multiples\ of\ 5) = \frac{2}{10} = \frac{1}{5}$

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How many solutions does the system have?

Novay_Z [31]

Answer:

none

Step-by-step explanation:

to solve this equation we would say that

let

x + y = 5 .............................. equation 1

x + y = 6 .................................... equation 2

from equation 2

x + y = 6 .................................... equation 2

x = 6 -y...................................... equation 3

substitute for x into equation 1

x + y = 5 .............................. equation 1

6 - y + y = 5

from here this equation cannot be solved further therefore it has no solution.

6 0

3 years ago

When the expression $-2x^2-20x-53$ is written in the form $a(x+d)^2+e$, where $a$, $d$, and $e$ are constants, then what is the

Sladkaya [172]

We start with $2 x^{2} -20x-53$ and wish to write it as $a(x+d) ^{2} +e$

First, pull 2 out from the first two terms: $2( x^{2} -10x)-53$

Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have $x^{2} -10x$ and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square: $x^{2} -10x+25=(x-5) ^{2}$

The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have $2( x-5) ^{2}-53$ and when we multiply that out it does not give us what we started with. It gives us $2 x^{2} -20x+50-53=2 x^{2} -20x-3$

So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.

We do this as follows: $2(x-5) ^{2}-53-50$ which gives us the final expression we seek:

$2(x-5) ^{2}-103$

If you multiply this out you will get the exact expression we were given. This means that:
a = 2
d = -5
e = -103

We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106

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3 years ago

Which expression best estimates 6 and three-fourths divided by 1 and two-thirds?

bixtya [17]

Answer: The expression is 7/2.

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2 years ago

Find the arc length of the partial circle.

kodGreya [7K]

Answer:

Arc length of the partial circle = 3π units

Step-by-step explanation: