All categories

3 years ago

PLEASE HELP FAST!!! How many solutions does this system have?

Mathematics

1 answer:

Aneli [31]3 years ago

5 0

Step-by-step explanation:

y=3/4x+(-5)
-4x+4(3/4x+-5)=-20

-4x+3x-20=-20

-x=-20+20

-x=0

x=0

x=0 in y=3/4x-5

y=3/4×{0}-5

y=-5

You might be interested in

What are the next three numbers in the pattern 10,7,4,1

Scorpion4ik [409]

-2, -5, -8

You're subtracting three each time.

3 0

3 years ago

Find the x- and y- intercepts of parabola y=5x^2-16x+10

____ [38]

Y-INTERCEPT

$y = 5x^2 - 16x + 10$

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

$\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10$

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

$y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0$

We need to use the quadratic formula

The quadratic formula helps us find what values of $x$ make the equation = 0

Quadratic formula: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\$

The x-intercepts are at:

$(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)$

5 0

2 years ago

you bought 5 chocolate bars and 8 blow pops for $23.25 your sister bought 2 chocolate bars and 13 blow pops for 21.55 how much d

kirza4 [7]

Answer:

$2.65

Step-by-step explanation:

Let chocolate bar = c and blow pops = b

As per given we have equations below:

5c + 8b = 23.25
2c + 13b = 21.55

13 times the first equation minus 8 times the second to eliminate b and find c:

13(5c + 8b) - 8(2c + 13b) = 13(23.25) - 8(21.55)
65c - 16c = 129.85
49c = 129.85
c = 129.85/49
c = 2.65

Each chocolate bar costs $2.65

7 0

3 years ago

9s - 5g = -4y, for s

Oksi-84 [34.3K]

S = (5g -4y)/9

hope this helps

4 0

3 years ago

he closing price of a share of stock in Company XYZ is $25.69 on Thursday. If the change from the closing price on Wednesday is

mamaluj [8]

Answer:

Option C - $26.44

Step-by-step explanation:

To find the closing proce on Wednesday

Company XYZ is $ 25.69 on Thursday

Company XYZ is - $0.75 on Wednesday

This means the calculation should be as following,

25.69 + 0.75 = 26.44$ the closing price for Wednesday

6 0

3 years ago