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kirza4 [7]
3 years ago
8

Given the system of equations, what is the x-coordinate of the solution?

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
6 0
Answer: Choice C) -11

-----------------------------------

Explanation:

The first equation given is y = 3 - 1/2x
In other words, y is the same as 3 - 1/2x. 
We can replace y in the second equation with 3 - 1/2x
This is known as substitution (think of a substitute teacher who is a temporary replacement for your teacher)

Doing this leads to...
3x+4y = 1
3x+4*y = 1
3x+4*( y ) = 1
3x+4*( 3 - 1/2x ) = 1 <<--- y has been replaced with 3-1/2x
3x+4*(3) +4*(-1/2x) = 1
3x+12-2x = 1
3x-2x+12 = 1
x+12 = 1
x+12-12 = 1-12 <<-- subtracting 12 from both sides
x = -11
Which is why the answer is choice C) -11
hodyreva [135]3 years ago
3 0

Answer:

-11 ;)

Step-by-step explanation:

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If g(x)= square root of 3-5x, find the domain of g'(x).
BaLLatris [955]

Answer:

domain: x>3/5

Step-by-step explanation:

First we need to derive our function g(x) to get a new function g'(x)

To do this we will have to apply chain rule because we have an inner and outer functions.

Our G(x) = square root(3-5x)

Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)

where d/dx(g(f(x)) = g'(x)

g(x) is the outer function which is x^1/2

f(x) is our inner function which is 3-5x

therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5

g'(f(x)) = -1/2(3-5x)^(-1/2)

Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)

But the domain is the values of x where the function g'(x) is not defined

In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined

which gives us x >3/5

5 0
3 years ago
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Which table belongs to the equation y = 4x - 4?*
fenix001 [56]

Answer:

Could you maybe provide the answer choices?

Step-by-step explanation:

7 0
3 years ago
What is this figure<br> Please answer fast
lyudmila [28]

Answer:

Hexagonal prism

Step-by-step explanation:

Since the base is a hexagon (six sided shape) and there are two of them, it is considered a prism. This is an Hexagonal prism.

Do not confuse it with hexagonal pyramid because:

1) It does not look like a pyramid

2) It only has one base

4 0
3 years ago
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An isoceles triangle measures 30°. which other angles could be on that isoceles triangle​
hoa [83]

Answer: 75 degrees on the other two angles because all of the angles added together should be 180. So if you do 180-30 then divide that by 2 you get the other two angles.

Step-by-step explanation:

7 0
3 years ago
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In 3-4 sentences, describe how you would find a line parallel to the line 2x + 5y = 15 that goes through the point (-10, 1). Be
larisa86 [58]

the parallel line is 2x+5y+15=0.

Step-by-step explanation:

ok I hope it will work

soo,

Solution

given,

given parallel line 2x+5y=15

which goes through the point (-10,1)

now,

let 2x+5y=15 be equation no.1

then the line which is parallel to the equation 1st

2 x+5y+k = 0 let it be equation no.2

now the equation no.2 passes through the point (-10,1)

or, 2x+5y+k =0

or, 2*-10+5*1+k= 0

or, -20+5+k= 0

or, -15+k= 0

or, k= 15

putting the value of k in equation no.2 we get,

or, 2x+5y+k=0

or, 2x+5y+15=0

which is a required line.

6 0
1 year ago
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