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2 years ago

Complete the sentence below.

1 answer:

3 0

The amplitude of the graphs of the sine and cosine functions is the vertical distance between the sinusoidal axis and the maximum or minimum value of the function.

And the period of each is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat.

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Factoring as a product of two binomials x2+10x+24

MrMuchimi

That can be factored to:

(x+6)(x+4)

5 0

3 years ago

Read 2 more answers

The shaded region in the graph represents the solutions of this system of linear inequalities:

kotegsom [21]

Answer:

$y$

$y\leq 2x+3$

Step-by-step explanation:

step 1

Find the equation of the solid line

From the graph take the points (0,3) and (4,11)

Find the slope

$m=(11-3)/(4-0)\\m=8/4=2$

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=2$

$b=3$ ----> the y-intercept is the point (0,3)

substitute

$y=2x+3$

therefore

The inequality is

$y\leq 2x+3$

step 2

Find the equation of the dashed line

The slope is given

$m=4$

From the graph take the y-intercept (0,-5)

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=4$

$b=-5$

substitute

$y=4x-5$

therefore

The inequality is

$y$

because the shaded region is below the dashed line

therefore

The system of inequalities is

$y$

$y\leq 2x+3$

8 0

2 years ago

PLEASE ANSWER I WILL GIVE BRAINLIEST

Yuri [45]

Answer:

Step-by-step explanation:

Replace the variables with their corresponding numbers.

y-x/z 64-4/3 60/3 20

5 0

2 years ago

If f(x)= x and g(x) = x - 4 which translation is applied to f(x) to get g(x)

Dafna1 [17]

F(g(x)) = f(x-4) = (x-4)
g(f(x)) = g(x) = x-4

3 0

2 years ago

In ΔCDE, \overline{CE}

abruzzese [7]

Answer:

$m\angle CDE=14^o$

Step-by-step explanation:

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

see the attached figure to better understand the problem

∠DEF=∠ECD+∠CDE

substitute the given values

$(4x+5)^o=(x+9)^o+(x+8)^o$

solve for x

Combine like terms

$(4x+5)^o=(2x+17)^o$

Group terms

$4x-2x=17-5$

$2x=12$

$x=6$

Find the measure of angle CDE

$m\angle CDE=(x+8)^o$

substitute the value of x

$m\angle CDE=(6+8)=14^o$

8 0

2 years ago