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2 years ago

Solve for C. 4/ 7(B - C) = A C = ___

Mathematics

1 answer:

klio [65]2 years ago

5 0

Answer:

C = ¼(4B – 7A)

Step-by-step explanation:

⁴/₇(B – C) = A Multiply each side by 7

4(B - C) = 7A Remove parentheses

4B – 4C = 7A Subtract 4B from each side

-4C = 7A – 4B Multiply each side by -1

4C = -7A + 4B Divide each side by 4

C = ¼(4B – 7A)

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Answer:

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2 years ago

A photograph measuring 3 inches by 2.5 inches is to be enlarged so that the smaller side, when enlarged, will be 8 inches. How l

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2 years ago

A shopkeeper bought 5 dozen pen for rs 480 . If she sold all the pens at the rate of rs 9 per pen . Find profit / loss percent

lakkis [162]

Answer:

12.5%

Step-by-step explanation:

1 dozen=12

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2 years ago

What are the restrictions for a? 2a^2+a-15/5a^2+16a+3

koban [17]

ANSWER

The restrictions are

$a\ne -3,a\ne -\frac{1}{5}$

EXPLANATION

We were given the rational function,

$\frac{2a^2+a-15}{5a^2+16a+3}$

The function is defined for all values of a, except

$5a^2+16a+3=0$

This has become a quadratic trinomial, so we need to split the middle term.

We do that by multiplying the coefficient of $x^2$ which is 5 by the constant term which is 3. This gives us 15.

The factors of 15 that adds up to 16 are 1 and 15.

We use these factors to split the middle term.

$5a^2+15a+a+3=0$

We now factor to get,

$5a(a+3)+1(a+3)=0$

We factor further to get,

$(a+3)(5a+1)=0$

This implies that,

$(a+3)=0,(5a+1)=0$

This gives

$a=-3,a=-\frac{1}{5}$

These are the restrictions.

8 0

2 years ago

Use the drawing tool(s) to form the correct answers on the provided graph.

lianna [129]

Answer:

see below

Step-by-step explanation:

A graphing calculator can help you do this.

The function crosses the y-axis where x=0.

g(0) = -5^0 +5 = -1 +5

g(0) = 4

The function crosses the x-axis where g(x) = 0

0 = -5^x +5

5^x = 5 = 5^1

x = 1

g(1) = 0

The points of interest are (0, 4) and (1, 0).

7 0

2 years ago