How many different values can an algebraic expression like 5+(x+2)

The cosine of an angle is the ratio of the opposite side over the hypotenuse.

Reil [10]

It's False.Sine is a trigonometric function of the angle in a right triangle is equal to the ratio of the opposite leg to the angle of the hypotenuse.

6 0

3 years ago

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What does the graph of f(x)=3x^2-2x+1 look like

aleksklad [387]

Answer:

Below.

Step-by-step explanation:

This is a parabola.

As the coefficient of x^2 is positive it will open upwards ( shaped like a 'U').

If we convert to vertex form we can find the line of symmetry and the coordinates of the vertex:

f(x) = 3x^2 - 2x + 1

f(x) = 3(x^2 - 2/3 x) + 1

f(x) = 3[(x - 1/3)^2 - (1/3)^2] + 1

f(x) = 3(x - 1/3)^2 - 1/3 + 1

f(x) = 3(x - 1/3)^2 + 2/3

So the line of symmetry is x = 1/3 and

the vertex ( the minimum of the curve) is at (1/3, 2/3).

5 0

3 years ago

The statement "The square of any rational number is rational" can be rewritten formally as "For all rational numbers x, x 2 is r

____ [38]

Answer:

a.

For all non zero fraction 1(1/x), 1/x is a fraction

For all 1/(1/x), if 1/(1/x) is non zero, 1/x is a fraction

b.

For all polynomial function f(x) = x³ + x² + x - 1, the derivative (dy/dx) is a polynomial function

For all f(x) x³ + x² + x - 1, if f(x) is polynomial, f'(x) is a polynomial function

c.

For all angles x,y,z of a triangle, the sum, x + y + z = 180

For all x,y,z, if x,y and z are the angles of a triangle, x+y+z = 180

d.

For all irrational numbers x, -x is irrational

For all x, if x is irrational then -x irrational.

e.

For two integers, x and y, the sum x+y is an integer

For x,y if x and y are integers, then x + y is an integer

f.

For two fractions, x/y and a/b the product ax/by is a fraction

For x/y and a/b, if x/y and a/b are fractions then ax/by is a fraction

3 0

3 years ago

Suppose you want to throw a party. you have $214 to spend. so far you have purchased 5 decorations that each cost d dollars. whi

Harrizon [31]

Answer: 214 - 5d

Which of the following real-world scenarios could be represented by the algebraic expression 7.65 - 2p? Select all that apply.

Answers:

1) You buy 2 equally priced party favors, spending from your $7.65 gift card.

4) you give Tim twice the amount of face paint he had from your supply of 7.65 ounces.

You decide to order pizzas for your party. A large pizza is cut into 12 slices. If each pizza is shared evenly among G guests, which expression represents the number of slices that each guest will eat?

Answer: 12/g

(these are the rest of the answers for the rest of the 7 slides of "Writing expression" assignment on e2020

4th: $25 dollars is the constant team so the cost for h hours is 15h and the correct expression is 15h+25 and 15(h+25) would be interpreted as adding 25 hours to the number of hours rented, and then multiplying by 15.

5th: m + 2m - s

6th: No it's not true. Each table began with x/8 balloons. If two pop then you will not be able to distribute it equally among 8 tables. There are x/8 - 2 balloons left. Not all tables will be equal.

7th: n - (1/4)n - 15

8th: 12n/r

9th: (x+3)/5

10th: (3r)/2 is what the second DJ had. 3 times as many songs as 3r and half as many is translated as division to 2 so half as many is translated as multiplication by 1/2. So therefore, the second DJ had (3r)/2 songs.

Step-by-step explanation:

8 0

3 years ago

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During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial

kumpel [21]

Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

$f(x) = -12x^2 + 60x + 5$ ....(1)