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MariettaO [177]
3 years ago
7

The system of equations y=-1/2 x + 4 and y= 2x - 1 is shown on the graph below According to the graph what is the solution to th

is system of equations?

Mathematics
2 answers:
makkiz [27]3 years ago
8 0

Answer:

the answer is where the 2 points intersect... A. (2,3)

Step-by-step explanation:

PtichkaEL [24]3 years ago
6 0

Answer:

The correct option is A.

Step-by-step explanation:

The given system of equations is

y=-\frac{1}{2}x+4

y=2x-1

All the points on a line is are the solutions of the equation of line.

From the graph it is clear that the lines intersect each other at point (2,3). It means both the lines passes through the point (2,3) and point (2,3) is the solution of given system of equations.

Since (2,3) is the solution of given system of equations, therefore the correct option is A.

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Select the simplification that accurately explains the following statement.
lutik1710 [3]

Answer:

Option (b) is correct.

(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}=2^{1}=2

Step-by-step explanation:

Given: (2^\frac{1}{4} )^4

We have too choose the correct simplification for the given statement.

Consider (2^\frac{1}{4} )^4

Using property of exponents, (a^m)^n=a^m\times a^m\times a^m\times ....\times (n\ times)

We have,

(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}

Again applying property of exponents  a^m\times a^m=a^{n+m}

We have,

(2^\frac{1}{4} )^4=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}

Simplify, we have,

(2^\frac{1}{4} )^4=2^{\frac{4}{4}}

we get,

(2^\frac{1}{4} )^4=2^{1}=2

Thus, (2^\frac{1}{4} )^4=2

Option (b) is correct.

   

8 0
3 years ago
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