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3 years ago

Determine if the point (4, 5) lies on, above, or below the

Mathematics

1 answer:

labwork [276]3 years ago

3 0

Answer: On

Step-by-step explanation:

Replace the variables with the coordinate of the point.

3*5 = 6*4-9

15 = 15

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Q8 Q3.) Solve the system by the substitution method.

inn [45]

Recall that $(x+y)^2=x^2+2xy+y^2$ . So we can add twice the first equation to the second one to get

$x^2+y^2+2xy=10+2\cdot3\iff(x+y)^2=16\implies x+y=\pm4$

Since $xy=3$ , we have $y=\dfrac3x$ $(x\neq0)$ so

$x+y=x+\dfrac3x=\pm4\implies x^2\mp4x+3=0$

If $x+y=4$ , then

$x^2-4x+3=(x-3)(x-1)=0\implies x=3,x=1\implies y=1,y=3$

If $x+y=-4$ , then

$x^2+4x+3=(x+1)(x+3)=0\implies x=-1,x=-3\implies y=-3,y=-1$

So the solution set is

$(x,y)\in\{(-3,1),(1,3),(-1,-3),(-3,-1)\}$

3 0

3 years ago

Answer Are SSS,ASA,AAS,SAS Not enough Information <br> PLEASE HELP ME PLEASE

Leokris [45]

Answer:

1.SAS

2. AAS

3.SAS

4.SSS

5.SSS

6.SSS

Step-by-step explanation:

3 0

3 years ago

A retailer who sells backpacks estimates that by selling them for x dollars each, she will be able to sell 100−x backpacks each

zvonat [6]

Answer:

x = 50

R = $2500

Step-by-step explanation:

Given in the question a quadratic equation,

−x² + 100x

To find the selling price, x, which will give highest revenue, y, we will find maximum value of parabola curve −x² + 100x

The value of -b/2a tells you the value x of the vertex of the function

−x² + 100x

here a = -1

b = 100

Selling price = -(100)/2(-1)

= 50

R = −(50)² + 100(50)

= 2500

8 0

3 years ago

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.

kherson [118]

Answer:

A.) (3.6, 0.6)
D.) (2.6, 0.4)

Step-by-step explanation:

See below for a graph.

___

Choices B, C, E can be eliminated on the basis that neither x nor g(x) can be negative. The domain of f(x) is x>0; the range of g(x) is x≥0.

7 0

3 years ago

Evaluate the function below for f(-6) *<br> f (x) =<br> -x + 11<br> what’s the answer

Drupady [299]

Your answer would be 5

5 0

3 years ago