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2 years ago

13

Which algebraic function has a smaller rate of change than the equation? f(x)=2x−9

1 answer:

vredina [299]2 years ago

4 0

It will be the second option i believe

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Consider a right triangle that has these dimensions: the side opposite angle a is 6 meters and the side adjacent angle a is 8 me

Varvara68 [4.7K]

To determine the length of the hypotenuse, we need a relation that would relate the other legs and the hypotenuse of the triangle. So, we would need to use the Pythagorean theorem which is an equation that relates the hypotenuse with the other legs of a right triangle. It is to be noted that this is only usable for right triangles only. It is expressed as follows:

c^2 = a^2 + b^2

where c is the hypotenuse and a, b are the other legs.

c = √(a^2 + b^2)
c = √(6^2 + 8^2)
c = √100
c = 10 m

Therefore, the length of the hypotenuse with the other legs having a length of 6 and 8 would be 10 m.

5 0

3 years ago

Which of these is the algebraic expression for "five more than the product of ten and some number?" (3 points)

alexgriva [62]

Answer:

10x + 5

Step-by-step explanation:

x = some number

10x = 10 multiplied by 'x'

10x+5 = five more than 10 multiplied by some number

4 0

2 years ago

What is the solution to -x2 + 5x - 3

CaHeK987 [17]

The solution to the equation is $x=\frac{5-\sqrt{13}}{2}$ and $x=\frac{5+\sqrt{13}}{2}$

Explanation:

Given that the equation is $-x^2+5x-3=0$

We need to determine the solution of the equation.

The solution of the equation can be determined using the quadratic formula.

The quadratic formula is given by

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

Hence, from the equation, we have,

$a=-1,\:b=5,\:c=-3$

Substituting these values in the quadratic formula, we get,

$x=\frac{-5\pm \sqrt{5^2-4\left(-1\right)\left(-3\right)}}{2\left(-1\right)}$

Simplifying, we get,

$x=\frac{-5\pm \sqrt{25-12}}{-2}$

Simplifying the terms within the root, we get,

$x=\frac{-5\pm \sqrt{13}}{-2}$

Thus, the roots of the equation are $x=\frac{-5+ \sqrt{13}}{-2}$ and $x=\frac{-5- \sqrt{13}}{-2}$

Taking out the negative sign, we get,

$x=\frac{-(5- \sqrt{13})}{-2}$ and $x=\frac{-(5+ \sqrt{13})}{-2}$

Cancelling the negative sign, we get,

$x=\frac{5-\sqrt{13}}{2}$ and $x=\frac{5+\sqrt{13}}{2}$

Thus, the solutions of the equation are $x=\frac{5-\sqrt{13}}{2}$ and $x=\frac{5+\sqrt{13}}{2}$

7 0

3 years ago

Find θ, 0° ≤ θ < 360°, given the following information.

ludmilkaskok [199]

Answer:

210°

Step-by-step explanation:

Given

sinΘ = - $\frac{1}{2}$

Note taken the inverse sine of the positive value of the ratio, gives the related acute angle, that is

Θ = $sin^{-1}$ ( $\frac{1}{2}$ ) = 30° ← related acute angle

Thus the required angle in the third quadrant is

Θ = 180° + 30° = 210°

3 0

3 years ago

If pens cost 9 cents each, what equation could be written to calculate the cost, c, of any number of pens, p?

Nadya [2.5K]

Answer:

The total cost (in dollars) of p pens is C = 0.09 p

Step-by-step explanation:

The cost of each pen = 9 cents

Now, 1 cent = $0.01 cents

⇒ 9 cents = $0.09

So, the cost of 1 pen = $0.09

The number of pens purchased= p

Let the total cost of p pens = c

Also, the cost of p pens = p x ( Cost of 1 pen) = p ( $0.09) = 0.09 p

or, C = 0.09 p

Hence the total cost (in dollars) of p pens is C = 0.09 p.

4 0

3 years ago