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3 years ago

Can someone please help me with these three questions?!! The subject is Algebra 2.

Mathematics

1 answer:

Burka [1]3 years ago

8 0

On January 1,1980 a city had 100,000 people.during the year 1,000 people died,2,000 babies were born 3,000 people moved out ,and 10,000 moved in.how many people were in the city by the end of 1980?

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Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?

bija089 [108]

The value of f(-6) is -12.2

Explanation:

Given that the function $f(x)=\frac{100}{-10+e^{-0.1\left(x\right)}}$

We need to determine the value of f(-6)

The value of f(-6) can be determined by substituting the value for $x=-6$ in the function and simplify the function.

Hence, let us substitute $x=-6$ in the function, we get,

$f(-6)=\frac{100}{-10+e^{-0.1\left(-6\right)}}$

Let us apply the rule $-\left(-a\right)=a$ , we get,

$f(-6)=\frac{100}{-10+e^{0.1\left(6\right)}}$

Multiplying the numbers, we get,

$f(-6)=\frac{100}{-10+e^{0.6}}$

The value of $e^{0.6}=1.822$

Substituting the value of $e^{0.6}=1.822$ , we get,

$f(-6)=\frac{100}{-10+1.822}$

Subtracting the denominator, we have,

$f(-6)=\frac{100}{-8.178}$

Dividing, we have,

$f(-6)=-12.228$

Rounding off to the nearest tenth, we have,

$f(-6)=-12.2$

Thus, the value of f(-6) is -12.2

4 0

3 years ago

What is 3(exponent 2) multiplied by 3(exponent 3) ????

rusak2 [61]

$\huge\boxed{243}$

___________________________________________________________

$\boxed{Explanation}$

So, we have the following equation...

$3^2*3^3=(?)$

Remember $3^2$ and $3^3$ is the following...

$3^2=3*3\\3^3=3*3*3$

Therefore, $3*3=9\\3*3*3=27\\9*27=243$

So, your final answer is $\boxed{243}$ .

___________________________________________________________

Glad to help!

$\huge\boxed{Thanks,\;Plip.}$

3 0

3 years ago

Read 2 more answers

Molly has 24 muffins, 18 breakfast bars, and 12 bottles of juice to be distributed evenly among a certain number of welcome bask

Zepler [3.9K]

Answer:

b and c

Step-by-step explanation:

4 0

3 years ago

A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b

Olegator [25]

Answer:

Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70

Step-by-step explanation:

We are given

A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula

$P=\frac{1}{10}x(300-x)$

provided that 0 ≤ x ≤ 200

We are given

profit is $1610

so, we can set P=1610

and then we can solve for x

$1610=\frac{1}{10}x(300-x)$

Multiply both sides by 10

$1610\cdot \:10=\frac{1}{10}x\left(300-x\right)\cdot \:10$

$16100=x\left(300-x\right)$

$16100=300x-x^2$

$-x^2+300x-16100=0$

now, we can factor it

$(x-70)(x-230)=0$

we can solve for x

and we get

$x=70,x=230$

Since, x=230 does not lie on 0 ≤ x ≤ 200

So, we will consider only x=70

So,

Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70

7 0

3 years ago

-How can you solve compound inequalities in one variable?

Tresset [83]

Answer:

Isolate the variable by subtracting 7 from all 3 parts of the inequality, and then dividing each part by 2. To solve inequalities like a < x < b, use the addition and multiplication properties of inequality to solve the inequality for x.

Hope this was able to help you

5 0

3 years ago