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Brums [2.3K]
2 years ago
10

The graph is supposed to show f(x) = 3 sin (x/4+1) - 1/2. Which of the following are correctly represented in the graph? Select

all that apply.

Mathematics
1 answer:
Ludmilka [50]2 years ago
5 0

Answer:

Options a,b,c are right.

Step-by-step explanation:

Amplitude of the graph = 3 but  shown correctly

Hence option a is right

There is a vertical shift of 1/2 down. Shown correctly

Option b is right

Horizontal shift is 1 unit to the left.  Shown correctly

OPtion c is right

Period is 8 pi  not shown correctly

OPtion d is wrong.

Horizontal expansion is not shown at all for x/4

Hence option e is wrong.


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What are the roots of the equation x^2+4x-5=f(x)
enyata [817]

Answer:

The roots are -5, 1.

Step-by-step explanation:

f(x) = x^2 + 4x - 5

The roots of a function are also the Ox intercepts, so basically we're finding when is the function equal to '0'.

x^2 + 4x - 5 = 0\\(x-1)(x+5) = 0\\x_1 = 1, x_2 = -5

3 0
2 years ago
Which choice is equivalent to the product below?<br> Square root 2 • square root 3 • square root 8
SIZIF [17.4K]
That would be simplified into

1.41 • 1.73 • 2.82 = 6.9

i don’t know what the choices are bc you didn’t put them but hopefully this does someone some good <3
7 0
3 years ago
Jocelyn owns a food truck that sells tacos and burritos. She only has enough supplies to make 150 tacos or burritos. She sells e
timurjin [86]

Answer:

We know that:

Price of a taco = $4

Price of a burrito = $6.50

x = number of tacos sold

y = number of burritos sold.

We must have that:

x + y ≤ 150  (Because she only has supplies to make 150 tacos or burritos, but she can sell less than that)

And also we know that she must sell at least $780, then:

x*$4 + y*$6.50 ≥ $780

Now we found the system of inequalities:

x + y ≤ 150

x*$4 + y*$6.50 ≥ $780

To solve it graphically, we just need to find each one of the region solutions for each equation, and the intersection of these regions will be the solution for the system.

To graph them may be easier to write them as lines, you can do it as follows:

y ≤ 150 - x

y ≥ ($780 - x*$4)/$6.50

in the first equation, we will shade the area below the line, and in the second equation, we will shade the area above the line.

You can see the image below.

Where the accepted solutions are the ones in the darker part, and we only restrict this to positive values of x (because of how we defined the variable x)

Then looking at the image, we can see that one solution can be the point

x = 20, y = 120

7 0
3 years ago
What graph represents the equationy = 2x – 3?
gladu [14]

Answer:

linear graph

Step-by-step explanation:

because the equation of the line is straight

8 0
2 years ago
What is the product of 1/2 x - 1/4 and 5x^2 - 2x + 6? Write your answer in standard form?
marta [7]

Answer:

for a. you will first solve 5x²-2x+6 with

x=-b ± ✓b²-4ac

----------------

2a

then put the two answers you will get into a bracket then multiply it with 1/2x - 1\4

then write in form of dis :- A ×10^n

Step-by-step explanation:

b. the two products are not the same

3 0
2 years ago
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