All categories

3 years ago

[6.01] Systems of equations with different slopes and different y-intercepts have more than one solution.

1 answer:

4 0

Sometimes systems <span>of equations with different slopes and different y-intercepts have more than one solution. This is, for the most part true but should be answered sometimes.
</span>

You might be interested in

Write the equation of the trigonometric graph.

prisoha [69]

Answer:

$f(x)= \sin(6x)+3$

Step-by-step explanation:

The parent function of this graph is: y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

$f(x) = \sf A \sin (B(x + C)) + D$

A = amplitude (height from the mid-line to the peak)
2π/B = period (horizontal distance between consecutive peaks)
C = phase shift (horizontal shift - positive is to the left)
D = vertical shift

The parent function y = sin(x) has the following:

Amplitude (A) = 1
Period = 2π
Phase shift (C) = 0
Vertical shift (D) = 0
Mid-line: y = 0

From inspection of the given graph:

Amplitude (A) = 1
$\sf Period=\dfrac{\pi}{12}-\dfrac{-\pi}{4}=\dfrac{\pi}{3}$
Phase shift (C) = 0
Vertical shift (D) = +3 (as mid-line is y = 3)

$\sf If\:Period=\dfrac{\pi}{3} \implies \dfrac{2 \pi}{B}=\dfrac{\pi}{3}\implies B=6$

Substituting the values into the standard form:

$\implies f(x) =1 \sin (6(x + 0)) + 3$

$\implies f(x) = \sin (6x) + 3$

Therefore, the equation of the given trigonometric graph is:

$f(x)= \sin(6x)+3$

6 0

2 years ago

I need help on doing the equal values method. Please tell me how to do y=11-2x y=x+2

noname [10]

Answer:

11-2x=x+2

-3x=9

x=-3

Step-by-step explanation:

y=11-2x

y=x+2

So we use the first equation to plug in for the second equation.

Then we solve for x and get the answer. Hope this helps. Thank you.

8 0

3 years ago

Teresa's restaurant bill comes to $29.99 before tax. If the sales

vivado [14]

The answer is $37.86 !! hope this helps

4 0

3 years ago

Please help figure out

elena55 [62]

This is an altitude. Shown by the right angle on the side opposite the point.

8 0

4 years ago

Read 2 more answers

Please help me I need to submit this asap

frez [133]

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here { a, b ] = [ - 1, 2 ], thus

f(b) = 4 ← from (2, 4 )

f(a) = $\frac{1}{2}$ ← from (- 1, $\frac{1}{2}$ ) , thus

average rate of change = $\frac{4-\frac{1}{2} }{2-(-1)}$ = $\frac{\frac{7}{2} }{3}$ = $\frac{7}{6}$ → D

8 0

3 years ago