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3 years ago

Without solving, determine the number of solutions for this system. What does the graph of the system look like?

Mathematics

2 answers:

cupoosta [38]3 years ago

5 0

Rewriting each equation in slope-intercept form, you have

... y = (3/2)x -5/4

... y = (3/2)x - 5/6

These lines have the same slope, but different intercepts. The appropriate description is ...

... A) no solution; parallel lines

likoan [24]3 years ago

4 0

Answer:Correct

no solution; parallel lines

You can determine the number of solutions for the system without solving by rewriting the equations in standard form and simplifying.

Rewrite the equations in standard form:

6x - 4y = 5

9x - 6y = 5

Factor out the GCF for each equation:

2(3x - 2y) = 5

3(3x - 2y) = 5

Simplify:

3x - 2y =

3x -2y cannot equal both

and

. Therefore the system doesn't have any solutions.

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vagabundo [1.1K]

I think it’s the first option

6 0

2 years ago

Find the tangent plane to the given surface of f(x,y)=6- 6/5 x-y at the point (5, -1, 1). Make sure tat your final answer for th

HACTEHA [7]

Answer:

Required equation of tangent plane is $z=\frac{6}{5}(x-5y-11)$ .

Step-by-step explanation:

Given surface function is,

$f(x,y)=6-\frac{6}{5}(x-y)$

To find tangent plane at the point (5,-1,1).

We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

$z=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)\hfill (1)$

So that,

$f(x_0,y_0)=6-\frac{6}{5}(5+1)=-\frac{6}{5}$

$f_x=-\frac{6}{5}y\implies f_x(5,-1,1)=\frac{6}{5}$

$f_y=-\frac{6}{5}x\implies f_y(5,-1,1)=-6$

Substitute all these values in (1) we get,

$z=\frac{6}{5}(x-5)-6(y+1)-\frac{6}{5}$

$\therefore z=\frac{6}{5}(x-5y-11)$

Which is the required euation of tangent plane.

4 0

3 years ago

The number of students enrolled at a college is 15,000 and grows 4% each year

Kipish [7]

Answer:

15,000

Step-by-step explanation:

initial amount is basically the starting amount

6 0

3 years ago

Daniel and Edwin went to lunch. Daniel’s meal cost $20 and Edwin’s meal cost $18.50. They each left an 18% tip on the price of t

Neporo4naja [7]

Answer:

$45.43

Step-by-step explanation:

20 × 0.18 = 3.60

18.50 × 0.18 = 3.33

3.60 + 3.33 = 6.93

The total in tips is 6.93

20 + 18.50 = 38.50

The total meal cost is 38.50

38.50 + 6.93 = 45.43

The total of everything is 45.43

4 0

2 years ago

Read 2 more answers

If f(x) = 3x^2 – x + 3, then what is the remainder when f(x) is divided by<br> x + 7?

Anton [14]

Answer:

the remainder is -52

Step-by-step explanation:

3x²-x + 3

x+7÷ 3x² - x +3

the remainder is -52

5 0

3 years ago