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OlgaM077 [116]
2 years ago
5

Pls help math problem pls

Mathematics
1 answer:
Dovator [93]2 years ago
5 0

Answer: The fourth choice

Step-by-step explanation:

(f - g)(x) = f(x) - g(x) = 4x^{2} - 5x - (3x^{2} + 6x - 4) = x^{2} - 11x + 4

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Problem page the price of a notebook has dropped to $3.20 today. Yesterday's price was $3.45 . Find the percentage decrease. Rou
Anna11 [10]

Yesterday's price of notebook = $3.45

Today's price of notebook = $3.20

We have to determine the percentage decrease in the cost of notebook.

Percentage decrease = (Decrease \div Old price) \times 100

So, percentage decrease = \frac{3.45-3.20}{3.45} \times 100

=\frac{0.25}{3.45} \times 100

= 7.246%

= 7.25%

Therefore, there is 7.25% of decrease in the cost of the notebook.

8 0
3 years ago
An angle measures 156° less than the measure of its supplementary angle. What is the measure of each angle?
Advocard [28]

Answer:

Angle 1: 168

Angle 2: 12

Explanation:

I did the math! basically, i did 168-156, and got 12. Then i added, 168+12, and got 180. So i know that both angles together make 180 degrees, which is the definition of supplementary angles.

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4 years ago
Larry used a pattern of colors to make a cube train.he used a red cube ,blue cube a red cube and another red cube. before he sta
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He used 3  red cubes.....
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Read 2 more answers
A large corporation starts at time t = 0 to invest part of its receipts continuously at a rate of P dollars per year in a fund f
Andrews [41]

Answer:

A = \frac{P}{r}\left( e^{rt} -1 \right)

Step-by-step explanation:

This is <em>a separable differential equation</em>. Rearranging terms in the equation gives

                                                \frac{dA}{rA+P} = dt

Integration on both sides gives

                                            \int \frac{dA}{rA+P} = \int  dt

where c is a constant of integration.

The steps for solving the integral on the right hand side are presented below.

                               \int \frac{dA}{rA+P} = \begin{vmatrix} rA+P = m \implies rdA = dm\end{vmatrix} \\\\\phantom{\int \frac{dA}{rA+P} } = \int \frac{1}{m} \frac{1}{r} \, dm \\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \int \frac{1}{m} \, dm\\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |m| + c \\\\&\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |rA+P| +c

Therefore,

                                        \frac{1}{r} \ln |rA+P| = t+c

Multiply both sides by r.

                               \ln |rA+P| = rt+c_1, \quad c_1 := rc

By taking exponents, we obtain

      e^{\ln |rA+P|} = e^{rt+c_1} \implies  |rA+P| = e^{rt} \cdot e^{c_1} rA+P = Ce^{rt}, \quad C:= \pm e^{c_1}

Isolate A.

                 rA+P = Ce^{rt} \implies rA = Ce^{rt} - P \implies A = \frac{C}{r}e^{rt} - \frac{P}{r}

Since A = 0  when t=0, we obtain an initial condition A(0) = 0.

We can use it to find the numeric value of the constant c.

Substituting 0 for A and t in the equation gives

                         0 = \frac{C}{r}e^{0} - \frac{P}{r} \implies \frac{P}{r} = \frac{C}{r} \implies C=P

Therefore, the solution of the given differential equation is

                                   A = \frac{P}{r}e^{rt} - \frac{P}{r} = \frac{P}{r}\left( e^{rt} -1 \right)

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