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3 years ago

I need help with this

Mathematics

2 answers:

masya89 [10]3 years ago

8 0

Hello there! With finding the area of the rectangle in this scenario, we have to multiply binomials by doing distribution or in this case, the FOIL method. This means, multiply the terms by the first terms of each parenthesis, the outer terms of the parenthesis, inner terms of the parenthesis, and the last terms in both parenthesis. It's a bit like regular distribution. Set it up like this:

(4x - 7)(x + 3)

Now, multiply the terms. 4x * x is 4x². 4x * 3 is 12x. -7 * x is -7x. -7 * 3 is -21. Combine like terms in order to get 4x² + 5x - 21. The answer is D.

Note: If there is a negative in front of the number you are multiplying, you incorporate the negative in that number. x² is there, because two x's are being multiplied together. Be sure to incorporate these steps and solve the right way and be aware of the symbols. Otherwise, you might make a mistake.

rodikova [14]3 years ago

5 0

You need to expand (4x-7)(x+3), multiplying each term in the first bracket by each term in the second bracket, in order to get 4x^2+5x-21. Hope that helps!

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How much should a family deposit at the end of every 6 months in order to have $4000 at the end of 3 years? The account pays 5.9

ra1l [238]

We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

$PV_{ord}=C(\frac{1-(1+i)^{-kn}}{\frac{i}{k}})$

Where:

$\begin{gathered} C=\text{ payments each period} \\ i=\text{ interest rate} \\ n=\text{ number of periods} \\ k=\text{ number of times the interest is compounded} \end{gathered}$

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

$\frac{5.9}{100}=0.059$

Now we substitute the values:

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$PV_{\text{ord}}=39462.50$

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8 0

1 year ago

Sean chewed 2/5 of his rawhide bones. If he had 10 bones to begin with, how many did he chew up?

Vesna [10]

Answer:

He chewed 4/10 of the bone

Step-by-step explanation:

Since the 10 will be the denominator you will need to divide it by 2 and get 5. After that you multiply the denominator of 10 and numerator of 1 by 2 and get 4/10

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3 years ago

Help me please TY WHOEVER HELPS

Natali [406]

Answer:

picture too bad sorry

Step-by-step explanation:

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3 years ago

How do I solve this using the system of equations?

Westkost [7]

Answer:

length: 16 m; width: 13 m

Step-by-step explanation:

Write each of the statements as an equation. You know that the formula for the perimeter is ...

P = 2(L +W)

so one of your equations is this one with the value of P filled in:

• 2L + 2W = 58

The other equation expresses the relation between L and W:

• L = W +3 . . . . . . . . the length is 3 meters greater than the width

There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...

2(W+3) +2W = 58

4W +6 = 58 . . . . . . . simplify

4W = 52 . . . . . . . . . . subtract 6

W = 13 . . . . . . . . . . . .divide by 4

We can use the expression for L to find its value:

L = 13 +3 = 16

The length is 16 meters; the width is 13 meters.

6 0

3 years ago

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grigory [225]

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but i would say your answer could be D

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3 years ago