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Temka [501]
3 years ago
11

Given the functions f(x)= 3x + 4 and g(x) = 5x - 10.  What is the value of  x for which f(x) = g(x) .​

Mathematics
1 answer:
Westkost [7]3 years ago
6 0

Answer:

7

Step-by-step explanation:

According to the question,

f(x)= 3x + 4 and g(x) = 5x - 10 are equal.

So,

3x + 4 = 5x - 10

- 2x = - 10 - 4

-2x = -14

2x = 14

x = 7

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malfutka [58]

Step-by-step explanation:

ratios of lengths = 4/3

ratios of area = 16/9

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6 0
3 years ago
Find the area simplify your answer
Alex787 [66]

Answer:

6x^2-8x-64

Step-by-step explanation:

the answer for solving a quadrilateral

is base times height

so the base is 2x-8 and the height is 3x+8

(2x-8)(3x+8)

expand

6x^2-8x-64

Hope that helps :)

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3 0
3 years ago
Which construction is illustrated above ?
RSB [31]

Answer:

Option 2.

Step-by-step explanation:

You are bisecting angle BAC  with pencil and compass.

3 0
3 years ago
Read 2 more answers
The product of two numbers is 192. what is the minimum value of the sum of the first value plus twice the second value
VARVARA [1.3K]
Let x and y be the two positive numbers. -  Their product is 192: x *  y  =  192   equation 1

-  the sum of the first plus twice the second is a minimum:  x + 2y

<span>From the first equation, y =  192 / x. 
Substitute that into the second equation:
</span>
 x + 2y = x + 2(<span>192/x ) = x + 384/x

</span>f(x) is minimum when f'(x) = 0 and f"(x) > 0 

f(x)= <span>x + 384/x
</span>
f(x) = 1-384/x^2 

<span>1-384  / x^2 =  0 

x^2-384 = 0 

x^ 2= 354
 x = radical  354    = 18.8  here i'm confused why the number is decimal
???/ 
</span>

4 0
4 years ago
A number is equal to twice a smaller number plus 3. Yhe same number is equal to twice the sum of smaller number and 1. How many
allsm [11]

Answer:

There is no solution to the problem

Step-by-step explanation:

In order to find the solutions to the problem you can write the situation in an algebraic form.

You have that a number is equal to twice a smaller number plus 3. This can be written as follow:

x=2y+3      (1)

where x is the number and y is the smaller number

Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:

x=2(y+1)     (2)

To find the solution you equal the equation (1) with (2), and you solve for y:

2y+3=2y+1

3=1

You obtain an inconsistency, hence, the situation of the problem does not have solution

5 0
3 years ago
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