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3 years ago

Is it possible for a system of two linear equations to have more than one common solution? Explain.

Mathematics

2 answers:

nevsk [136]3 years ago

5 0

No, they can either intersect or be the same line, which would make the solutions infinite.

Ede4ka [16]3 years ago

3 0

Answer: Systems of linear equations can only have 0, 1, or an infinite number of solutions. These two lines cannot intersect twice. The correct answer is that the system has one solution.

Step-by-step explanation:

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Given the equation y = 4x - 3.A) If x increases by 1 unit, what is the corresponding change in y? B) If x decreases by 5 units,

DedPeter [7]

Answer:

A) y will increase by 4 unit.

B) y will decrease by 20 units

Step-by-step explanation:

Given equation that shows relation between x and y.

$y=4x-3$

A) If x is increased by 4 units

New value of y = $4(x+1)-3$

$=4x+4-3$

$=4x+1$

So, change in y = new value of y- original value of y

$=4x+1-(4x-3)$

$=4x+1-4x+3$

$=4$

Thus, the value of y will be increased by 4 units.

B) If x is decreased by 5 units

New value of y = $4(x-5)-3$

$=4x-20-3$

$=4x-23$

So, change in y = new value of y- original value of y

$=4x+1-(4x-3)$

$=4x-23-(4x-3)$

$=4x-23-4x+3$

= -20

Thus, the value of y will be decreased by 20 units.

7 0

3 years ago

Find m of ZX<br> in circle P.<br><br> 70<br> 95<br> 155<br> 205

denis-greek [22]

The answer is C. 155

First find the measure of arc YZ.

The arc of WYZ is equal 180 degrees. So first add 25 to 85. Then subtract that to 180.

25+85=110

180-110=70.

Next add 70 to 85 since you want to find the measure of ZX.

70+85=155

So measure of ZX is equal to 155 degrees

3 0

3 years ago

For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)

Lorico [155]

The value of (f - g)(x) is -x² + 3x + 7.

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

f(x) = 3x + 1

g(x) = x² - 6

Now,

(f - g)(x) = f(x) - g(x)

= (3x + 1) - (x² - 6)

= 3x + 1 - x² + 6

(f - g)(x) = -x² + 3x + 7

Thus, the value of (f - g)(x) is -x² + 3x + 7.

Learn more about Function from:

brainly.com/question/12431044

#SPJ1

8 0

2 years ago

Read 2 more answers

Joe has an ice cream stand. last week he spent $85 for ice cream and supplies. he earned $125. what was his profit?

Elodia [21]

Answer:

40 dollars

Step-by-step explanation:

Profit is what he earned minus his costs

Profit = 125 -85

Profit = 40

3 0

2 years ago

On Monday 1/9 of the enrolled students in a school were absent. There were 4,512 students present how many students are enrolled

tensa zangetsu [6.8K]

Answer:6599 i think

Step-by-step explanation:

5 0

3 years ago