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kirill [66]
3 years ago
13

Solve C = AB + D for B.

Mathematics
1 answer:
OLEGan [10]3 years ago
8 0

Answer:

(C-D)/A = B

Step-by-step explanation:

C = AB + D

Subtract D from both side

C-D = AB + D-D

C-D = AB

Divide each side by A

(C-D)/A = AB/A

(C-D)/A = B

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An integer is three more than another integer. Twice the larger integer is two less
Amiraneli [1.4K]

Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

(y - 4) (y + 2) = 0

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

3 0
3 years ago
What is the derivative of y with respect to x if y = 2/X4
zepelin [54]
You're correct, the answer is C.

Given any function of the form y=x^n, then the derivative of y with respect to x (\frac{dy}{dx}) is written as:
\frac{dy}{dx}=nx^n^-^1

In which n is any constant, this is called the power rule for differentiation.

For this example we have y= \frac{2}{x^4}, first lets get rid of the quotient and write the expression in the form y=x^n:
y= \frac{2}{x^4} =2x^-^4

Now we can directly apply the rule stated at the beginning (in which n=-4):
\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
6 0
3 years ago
James invests $5,000 at an annual rate of 8% simple interest for 7 years. How much is in the account
borishaifa [10]

Answer:

$8,569.12

Step-by-step explanation:

6 0
3 years ago
Name a line that contains point A
antiseptic1488 [7]
Line AC contains point A in it.

6 0
3 years ago
3 points that equal y=x+6
-BARSIC- [3]
(0,6),(4,10),(1,7), all you need to do is find a random y value and add 6 to it to get the x value.
5 0
3 years ago
Read 2 more answers
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