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7 months ago

Can I find a tutor to help me bro ?

Mathematics

1 answer:

nignag [31]7 months ago

3 0

Solution

Given the quadratic equation:

x² + 2x + 7 = 21

x² + 2x + 7 - 21 = 0

x² + 2x - 14 = 0

a = 1, b = 2, c = - 14

(1) The number of solutions of a given quadratic equation is determine by the discriminant.

From the given values;

(2)² - 4(1 x -14) = 4 + 56 = 60

60 > 0 ( 2 solutions)

1 positive solution and 1 negative solution

Thus, number of positive solutions to this equation is one

(2) The greatest solution or positive solution to the equation is calculated as;

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Current rules for telephone area codes allow the use of digits 2-9 for the first digit, and 0-9 for the second and third dig

Anna35 [415]

Using the fundamental counting theorem, we have that:

648 different area codes are possible with this rule.
There are 6,480,000,000 possible 10-digit phone numbers.
The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.

For the area code:

8 options for the first digit.
9 options for the second and third.

Thus:

$8 \times 9 \times 9 = 648$

648 different area codes are possible with this rule.

For the number of 10-digit phone numbers:

7 digits, each with 10 options.
648 different area codes.

Then

$648 \times 10^7 = 6,480,000,000
$

There are 6,480,000,000 possible 10-digit phone numbers.

The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

A similar problem is given at brainly.com/question/24067651

5 0

2 years ago

Graph the numbers that are solutions to both inequalities below.

aleksklad [387]

Answer:

3x>12 2x/3 ≤ 6

3x>12, x = 4 2x/3, x = 2 ≤ 6

3 0

2 years ago

1/2 of the people who live in the neighborhood vollunteer at the comunity garden. 1/4 of the vollunteers are teenagers. What fra

ki77a [65]

Answer:

3/4

Step-by-step explanation:

With regards to the above, since 1/4 of the volunteers are teenagers, the fraction of the volunteers would be

= 1 - 1/4

= 3/4

It therefore means that 3/4 of the volunteers are teenagers.

3 0

2 years ago

Please help me with this.

JulijaS [17]

The speed intervals such that the mileage of the vehicle described is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h]

<h3>How to determine the range of speed associate to desired gas mileages</h3>

In this question we have a quadratic function of the gas mileage (g), in miles per gallon, in terms of the vehicle speed (v), in miles per hour. Based on the information given in the statement we must solve for v the following quadratic function:

g = 10 + 0.7 · v - 0.01 · v² (1)

An effective approach consists in using a graphing tool, in which a horizontal line (g = 20) is applied on the maximum desired mileage such that we can determine the speed intervals. The speed intervals such that the mileage of the vehicle is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h].

To learn more on quadratic functions: brainly.com/question/5975436

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