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lora16 [44]
3 years ago
8

In order to solve the following system of equations by subtraction, which of

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
7 0

Answer:

option d.

Step-by-step explanation:

<em>Multiply the top equation by 3 and the bottom equation by 4.</em>

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A doctor sees 210 patients every 3 weeks. At this rate, how many patients will the doctor see in 12 weeks?  
Sav [38]
First you divide 12 by 3 to get 4, and then you multiply 210 by 4 to get 840, which is answer C. This is because if it is 210 patients per 3 weeks, 3 goes into 12 weeks 4 times, so you need to multiply. I hope this helps!
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4 years ago
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Solve the simultaneous equations
Contact [7]

Answer:

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

Step-by-step explanation:

Given equations are:

3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2

There are three methods to solve simultaneous equations

  1. Elimination
  2. Substitution
  3. Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3

Putting y = 3 in equation 2

3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x =  6

Hence,

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

7 0
3 years ago
Algebraically, find all remaining zeros of f(x) = 8x^3 - 6x^2-36x +27 in simplest form.
viva [34]

Answer:

x=-\frac{3\sqrt{2}}{2},\frac{3}{4},\frac{3\sqrt{2} }{2}

Step-by-step explanation:

Given expression is,

f(x) = 8x³ - 6x² - 36x + 27

For zeros of the function,

f(x) = 0

8x³ - 6x² - 36x + 27 = 0

2x²(4x - 3) - 9(4x - 3) = 0

(2x² - 9)(4x - 3) = 0

(2x² - 9) = 0

x² = \frac{9}{2}

x = \pm\frac{3}{\sqrt{2}}

x = \pm \frac{3\sqrt{2}}{2}

Or (4x - 3) = 0

x = \frac{3}{4}

Therefore, all zeros of the given functions are  x=-\frac{3\sqrt{2}}{2},\frac{3}{4},\frac{3\sqrt{2} }{2}.

7 0
3 years ago
Find the area of the polygon. 9.2 m 6.9 m 13.8 m 9.2 m ​
Ainat [17]

Answer:

How can I help you?

Solve the Function Operation

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140

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Find the Exact Value

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a

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d

(

n

−

1

)

to identify the arithmetic sequence.

a

n

=

700

m

t

e

2

r

s

+

140

n

−

140

−

350

m

t

e

2

r

s

n

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How was this solution?

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Simplify

Simplify the expression.

157.68432

m

4

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Simplify the expression.

157.68432

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Simplify the expression.

157.68432

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Solve the Function Operation

Simplify

0.9

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Simplify

0.9

⋅

(

0.2

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(

6.9

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)

⋅

(

9.2

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.

157.68432

m

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6 0
3 years ago
Jenna is asked about her age. She answers as follows. "My age is 6 more than three times the age of
kompoz [17]

Answer:

62 jenna Is 62 years old bfjfufydgy

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