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nordsb [41]
3 years ago
7

The product of two consecutive odd integers is 143. If x is the smallest of the integers, write an equation in terms of x that d

escribes the situation, and then find all such pairs of integers.
The equation that describes the situation is _________________


The positive set of integers is _______________________


The negative set of integers is _______________________
Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer:

Step-by-step explanation:

x(x+2) = 143

:::::

x² + 2x - 143 = 0

x = [-2 ±√(2²-4(1)(-143))]/[2(1)] = 11, -13

:::::

11 and 13

:::::

-13, -11

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The value of a boat, in dollars, x years after its purchase is represented by the function.
Furkat [3]

Given the function f(x) = 10000(0.73)^x

<span>Where y is The value of a boat, in dollars, </span> <span>x years after its purchase </span>
at x = 1
f(1) = 10000(0.73)^1
f(1) = $7300  
at x = 2
f(2) = 10000(0.73)^2
f(2) = $ 5329  
so the decrease
D = $7300 - $ 5329
D = $ 1971

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5 0
4 years ago
Which of the following formulas would find the surface area of a right cone where s is the slant height r is the radius, LA is t
Darina [25.2K]

Answer:

Option A and Option C

Step-by-step explanation:

The surface area of a cone can be calculated with this formula:

SA=\pi r^2+\pi rs (This matches with the option A)

Where \pi rl is the lateral area of the cone (Being "s" the slant height) and \pi r^2 is the area of the base of the cone (which is a circle).

You know that BA the is the area of the base and LA the lateral area of the cone.

Then, substituting into the formula for calculate the surface area of a cone, you get:

SA=BA+LA

This matches with the option C

5 0
3 years ago
Students were surveyed about their favorite colors 1/4 of the students preferred, red 1/8 of the students preferred blue and 3/5
Scrat [10]
Let x be the total number of students.

The total of red + blue = x/4 + x/8
The remaining will be : x - x/4 -x/8
But we know the green at 3/5 of the remaining, so the green = 3/5(x - x/4 -x/8)
We also know that 3/5(x - x/4 -x/8) = 15
Solve this equation: and you will find x = 40 (number of students)

8 0
4 years ago
Please please please help asap I really need this :;((((
kenny6666 [7]

Answer:

130

Step-by-step explanation:

26/2 = 13

10 x 13 = 130

4 0
3 years ago
Find the variance of this probability distribution. Round to two decimal places.​
attashe74 [19]

Answer:

Variance = 4.68

Step-by-step explanation:

The formula for the variance is:

\sigma^{2} =\frac{\Sigma(X- \mu)^{2}}{N} \\or \\ \sigma^{2} =\frac{\Sigma(X)^{2}}{N} -\mu^{2} \\

Where:

X: Values \\\mu: Mean \\N: Number\ of\ values

The mean can be calculated as each value multiplied by its probability

\mu = 0*0.4 + 1*0.3 + 2*0.1+3*0.15+ 4*0.05=1.15

\frac{\Sigma (X)^{2}}{N} =\frac{(0^{2}+1^{2}+2^{2}+3^{2}+4^{2})}{5} =6

Replacing the mean and the summatory of X:

\sigma^{2} = \frac{\Sigma(X)^{2}}{N} -\mu^{2} \\= 6 - 1.15^{2}\\= 4.6775

4 0
4 years ago
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