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3 years ago

Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)?

Mathematics

2 answers:

deff fn [24]3 years ago

8 0

Answer:

Step-by-step explanation:

serious [3.7K]3 years ago

4 0

Answer:

It should be D:

Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.

Step-by-step explanation:

In pairs, you plot the x first, and since the first number is -3 1/2, you move left. The second number is -2, so you move down. The point should be in the third quadrant.

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An event has a theoretical probability of 20%. Which of the following must be true?

pickupchik [31]

Answer:

The theoretical probability of its complement must be 80%

Step-by-step explanation:

5 0

3 years ago

some children measured the lengths of their feet. The lengths are given in the line plot. What is the difference in length betwe

Rainbow [258]

The difference in length is 6/8 inches.

6 0

4 years ago

Electronics Unlimited sells TVs. There are 110 TVs on display in the showroom, and each TV is turned on to a random channel from

Lynna [10]

Answer:

Option B. There will be close to 40 TVs but probably not exactly 40 TVs not showing a sports channel.

Explanation:

There are a total of 7 sports channels and 4 non-sports channels out of 11 channels.

The probability that one TV will be not be showing a sports channel, P(not S), is:

P(not S) = number of non-sports channels / number of channels.

P(not S) = 4/11.

The best prediction on how many TVs will not be showing a sports channel is, the expected value, which is equal to the number of TVs mulitplied by P(not S):

P(not S) = 110 × 4/11 = 40.

Since this is a random variable, the expected value is not the exact number of TV but just a probability.

Hence, the answer is the option B: There will be close to 40 TVs but probably not exactly 40 TVs not showing a sports channel.

3 0

3 years ago

Read 2 more answers

Given the sequence below, what is the 9th term? 2, 1, 4, -1, 6, ...

jolli1 [7]

Answer:

The 9th term would be 10.

Step-by-step explanation:

Each of the odd terms is 2 more than the previous. We do not even need to look at the even terms to find the 9th one.

2, odd, 4, odd, 6, odd, 8, odd, 10

8 0

3 years ago

Use the quadratic formula to solve equation x²-2x=-9

andreev551 [17]

Answer: " x = 1 ± 2i√2 " .

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Step-by-step explanation:

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To solve the given equation:

" $x^{2} -2x = -9$ " ;

for all values of " $x$ " ; by using the "quadratic formula equation" ;

we must first rewrite the given equation in "quadratic format" ;

→ that is; in the format:

→ " $ax^{2} +bx + c= 0$ " ; { $a\neq 0}$ } ;

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So, given:

" $x^{2} -2x = -9$ " ;

→ We must add "9" to Each Side of the equation; to get the equation into "quadratic format" ; as follows:

→ x² − 2x + 9 = -9 + 9 ;

to get:

→ " x² − 2x + 9 = 0 " ;

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→ which is written in the "quadratic format" ; that is:

→ " $ax^{2} +bx + c= 0$ " ; { $a\neq 0$ } ;

in which:

"a = 1" ; [the "implied coefficient; "1" ; since "1" multiplied by "any value" ;

results in "that same value" ;

→ {Note this this is known as the "identity property"

of multiplication.}.

b = -2 ;

c = 9 ;

and since: " a = 1 " ; We know that: " {a≠0.}. "

_______________________________________

To solve for all value(s) for " $x$ " in our given equation by using the quadratic equation formula:

→ We use the following quadratic equation formula:

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→ x = [-b ± √(b² − 4ac) ] / [2a] ;

Note that in the "quadratic formula" :

→ " $ax^{2} +bx + c= 0$ " ; "a ≠ 0" ;

→ Since we divide by "2a" {refer to the "denominator"];

→ and if: "a" were to equal "0" ; then the "denominator" would equal: "2a = 2*a = 2*0 = 0" ; and we cannot divide by "0" .

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So, let us solve for the values for " $x$ " ; by plugging in our known values into the quadratic equation formula:

______________________________________________

→ $x$ = [ $-b$ ± $\sqrt{(b^{2}-4ac)} ] / [2a] ;$

So, to solve for "x" ; plug in "1" for "a"; "-2" for "b" ; "9" for "c" ;

→ So: " $(-b) = -(-2) = 2$ " ;

" b² = (-2)² = (-2) * (-2) = 4 " ;

" 4ac = 4 * 1 * 9 = 4 * 9 = 36 ;

" 2a = 2 * 1 = 2 " ;

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So:

→ x = (2 ± √(4−36) / 2 ;

Note: 4−36 = -32 ;

So:

→ x = (2 ± √-32) / 2 ;

Note: √-32 ; can be written as " i * √-32" ; or simply: "i√-32" ; since "i" is an 'imaginary number" that can represent the imaginary number: "√-1" ;

→ since: "√-32 = √-1 * √32" ; if: "√-1" really existed.

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→ Now, we can further simplify:

→ i√32;

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Let us simplify: "√32" ;

→ √32 = √16 * √2 = 4 * √2 ; or, write as 4√2 ;

So: √-32 = i√-32 = i * 4√2 = 4i√2 .

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We have, from above:

→ x = (2 ± √-32) / 2 ;

Rewrite—by substituting "4i√2" ; in lieu of: "√-32" ; as following

→ x = (2 ± 4i√2) / 2 ;

We are dividing the numerator by "2" ; so we can further simplify:

to get:

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→ " x = 1 ± 2i√2 " .

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Hope this answer—and explanation—is helpful!

Wishing you well in your academic endeavors!

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8 0

4 years ago