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3 years ago

How many solutions does this system of equations have?

Mathematics

2 answers:

Andrew [12]3 years ago

8 0

I wanna say and go with D but im not quiet sure

Studentka2010 [4]3 years ago

6 0

C because y=5x-4 has only one solution to it compared to 5x+2 that has 2 or more

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Which are the solutions of x2 = 19x + 1?

Finger [1]

Answer:

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

Step-by-step explanation:

we have

$x^2=19x+1$

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

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

in this problem we have

$-x^{2}-19x-1=0$

$a=1\\b=-19\\c=-1$

substitute in the formula

$x=\frac{-(-19)\pm\sqrt{-19^{2}-4(1)(-1)}} {2(1)}$

$x=\frac{19\pm\sqrt{365}} {2}$

$x=\frac{19+\sqrt{365}} {2}$

$x=\frac{19-\sqrt{365}} {2}$

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

therefore

StartFraction 19 minus StartRoot 365 EndRoot Over 2 EndFraction comma StartFraction 19 + StartRoot 365 EndRoot Over 2 EndFraction

6 0

3 years ago

Read 2 more answers

Which of the graphs below represents the equation 8x - y = -4?

vichka [17]

Well since you dont have the graphs posted i can tell u the y-intercept and the slope and you can figure it out from there.

8x-y=-4
-y=-8x-4
y=8x+4
the y intercept is 4 and the slope is positive 8

4 0

3 years ago

Read 2 more answers

Samuel took an antique clock that his grandfather had purchased, to be appraised. The appraiser evaluated the current price of t

andrew11 [14]

This is an exponential growth problem. Exponential growth can be expressed mathematically in the following way:
$y=a (1+r)^{t}$ .
Parameter a presents initial amount.
Parameter r is percentage increase.
Parameter t is time.
An equation that would describe given problem is:
$y=400 (1+0.02)^{t}$
t is the time in years.
I attached the graph of this function.

6 0

4 years ago

33 is 55% of what number

9966 [12]

Because percentage is the numerator divided by the denominator of a fraction times one-hundred, we can set up this equation:

$\frac{33}{x} =0.55$

Now, we cross multiply.

$33= 0.55x$

Next, we divide both sides by 0.55 to get x by itself.

x = 60

So, 33 is 55% of 60.

6 0

3 years ago

Read 2 more answers

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

timofeeve [1]

Answer:

g is decreasing for all x less than or equal to -1

Step-by-step explanation:

The graph of the function y = |x| looks like a "vee."

g(x) = |x + 1| - 7 moves that graph 1 unit to the <u>left</u><em> </em>(I know, it looks backwards!) and down 7 units. See attached image.

Function g(x) is decreasing for all $x \le -1$ .