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Delicious77 [7]

3 years ago

15

Shen picks a rational number.What is true about the opposite of his number?

2 answers:

iogann1982 [59]3 years ago

5 0

A lot depends upon your interpretation of "opposite." Do you mean "reciprocal?"

If you give the number a, the reciprocal would be 1/a. Is that what you mean?

Or do you mean "the number with opposite sign?" If you give the number b, "the number with opposite sign" would be -b.

Consider both cases. Choose a rational number (such as 7/8). Find the reciprocal of this number. Find the number with opposite sign of this number.

Mama L [17]3 years ago

3 0

Answer:

It is the same distance from zero as his original number

Step-by-step explanation:

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21. x² +9x - 22<br> Factors of cSum of Factors<br> 7<br> 7<br> ?<br> ?<br> 7<br> 7<br> 9<br> 7

Eduardwww [97]

Answer:

$\large \begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:c & \sf Sum\:of\:Factors\\\cline{1-2} 1, -22 & -21 \\\cline{1-2} -1, 22 & 21\\\cline{1-2} 2, -11 & -9 \\\cline{1-2} -2, 11 & 9 \\\cline{1-2}\end{array}$

Step-by-step explanation:

Quadratic equation: ax² + bx + c = 0, where a ≠ 0

x² + 9x - 22

a = 1
b = 9
c = -22

Factors of c (-22):

1 × -22 or -1 × 22

2 × -11 or -2 × 11

Sum of factors:

1 + (-22) = -21 or -1 + 22 = 21

2 + (-11) = -9 or -2 + 11 = 9

Table:

$\large \begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:c & \sf Sum\:of\:Factors\\\cline{1-2} 1, -22 & -21 \\\cline{1-2} -1, 22 & 21\\\cline{1-2} 2, -11 & -9 \\\cline{1-2} -2, 11 & 9 \\\cline{1-2}\end{array}$

Hope this helps!

6 0

2 years ago

The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

4 0

2 years ago

PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HE

frozen [14]

I’ll answer right now let me get a paper real quick

8 0

2 years ago

Read 2 more answers

5. Write an equivalent ratio to 18:1?

Molodets [167]

Answer:

36:2

Step-by-step explanation:

we can just multiply both numbers by 2, to get 36:2

7 0

3 years ago

Read 2 more answers

What is the value of x?

Inessa [10]

Answer:

Step-by-step explanation:

There are 180 degrees in a triangle. With that information we can make the equation: 180=(47+85)+x.

When you solve it becomes:

180=132+x --> x=48 degrees

Hope that helped!

4 0

3 years ago

Read 2 more answers