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2 years ago

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t circle s) (x)?

Mathematics

2 answers:

Georgia [21]2 years ago

8 0

Answer:

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t*s)(x)? 4(x – 7)2 – x – 7 + 3 4(x – 7)2 – (x – 7) + 3 (4x2 – x + 3) – 7 (4x2 – x + 3)(x – 7)

Contact [7]2 years ago

3 0

Answer:

Its B

Step-by-step explanation:

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For the equation ae^ct=d, solve for the variable t in terms of a,c, and d. Express your answer in terms of the natural logarithm

saveliy_v [14]

We have been given an equation $ae^{ct}=d$ . We are asked to solve the equation for t.

First of all, we will divide both sides of equation by a.

$\frac{ae^{ct}}{a}=\frac{d}{a}$

$e^{ct}=\frac{d}{a}$

Now we will take natural log on both sides.

$\text{ln}(e^{ct})=\text{ln}(\frac{d}{a})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$ct\cdot \text{ln}(e)=\text{ln}(\frac{d}{a})$

We know that $\text{ln}(e)=1$ , so we will get:

$ct\cdot 1=\text{ln}(\frac{d}{a})$

$ct=\text{ln}(\frac{d}{a})$

Now we will divide both sides by c as:

$\frac{ct}{c}=\frac{\text{ln}(\frac{d}{a})}{c}$

$t=\frac{\text{ln}(\frac{d}{a})}{c}$

Therefore, our solution would be $t=\frac{\text{ln}(\frac{d}{a})}{c}$ .

5 0

2 years ago

In a factory, two thirds of the floor are is taken up by the production line.Out of the remaining floor area,three fifths is tak

KATRIN_1 [288]

Answer:the floor area of the production line is 20000 m^2

Step-by-step explanation:

Let x represent the total area of the factory.

In the factory, two thirds of the floor are is taken up by the production line. This means that the area of the production line is 2/3 × x = 2x/3 m^2

The remaining floor area would be

x - 2x/3 = x/3 m^2

Out of the remaining floor area,three fifths is taken up by the office space. This means that the area taken up by the office space would be 3/5 × x/3 = x/5 m^2

The remaining area would be

x/3 - x/5 = 2x/15

The rest is warehouse space. The warehouse space occupies 2000m2. This means that

2x/15 = 2000

2x = 15 × 2000 = 30000

x = 30000/2 = 15000m^2

The floor area of the production line would be

(2 × 30000)/3 = 20000 m^2

8 0

2 years ago

How do i find each product by factoring the tens? 3x2, 3x20, and 3x200

RUDIKE [14]

Well, since it only asking about the product, you don't have to multiply the result
The product would be :
3 x 2 = 6
3x 20 = 3 x 2 x 10 = 60
3 x 200 = 3 x 2 x 10 x 10 = 600

hope this helps

6 0

2 years ago

Read 2 more answers

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s.

vampirchik [111]

The correct answer is:

This is the average number of days the house stayed on the market before being sold for $150,000.

Explanation:

f(p) is defined as the average number of days a house stays on the market before being sold for price p (given in $1000).

We want f(150); this means p=150. Since p is in thousands of dollars, this means the price of the house was $150,000.

This means f(150) is the average number of days the house stayed on the market before being sold for $150,000.

4 0

2 years ago

Read 2 more answers

A house is being purchased at the price of $138,000.00. The 30-year mortgage has a 10% down payment at an interest rate of 4.875

Mama L [17]

Answer:

$238,600

Step-by-step explanation:

The amount being borrowed is 100% -10% = 90% of the purchase price, or ...

0.90 × $138,000 = $124,200.

Then the monthly payment can be computed using the amortization formula:

A = P(r/12)/(1 -(1 +r/12)^(-12t))

A = 124200(.04875/12)/(1 -(1 +.04875/12)^(-12·30)) ≈ 657.28

and the total repaid is ...

(360 months) × ($657.28/month) = $236,619.58*

The cost of mortgage insurance is considered part of the cost of the loan. That amount is ...

(77 months) × ($25.88/month) = $1992.76

so the total amount paid for the loan is ...

$236,619.58 +1992.76 = $238,612.34

The cost of the loan is about $238,600.

_____

* In figuring the total repayment cost, we used the full-precision value for the loan payment. The actual repayment amount will depend on the rounded value of the loan payment and the way the final payment is made. When rounded to the nearest $100, these details become unimportant.

3 0

2 years ago