For the polynomial below, find F(-3)<br><br> F(-3)= -4x^2+3x-1

Tickets to Disneyland used to cost $109. They have decided to increase the price by 41%. What is the new cost of disneyland tick

Yanka [14]

Answer:

the answer is $153.69

3 0

2 years ago

If x and y are positive integers such that 5x+3y=100, what is the greatest possible value of xy? please include steps. Thank you

natulia [17]

Answer:

The greatest possible value of xy is 165.

Step-by-step explanation:

6 0

3 years ago

In order to make a teaspoon of honey, a honeybee must make 154 trips. If a honeybee made 924 trips, how many teaspoons of honey

irinina [24]

Six teaspoons. Hope I helped!
xoxo

4 0

3 years ago

Read 2 more answers

hich statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same

Sati [7]

Answer:

$p(x)$ and $q(x)$ have the same domain and the same range.

Step-by-step explanation:

$p(x) = 6-x$ and

$q(x) = 6x$

First of all, let us have a look at the definition of domain and range.

Domain of a function $y =f(x)$ is the set of input value i.e. the value of $x$ for which the function $f(x)$ is defined.

Range of a function $y =f(x)$ is the set of output value i.e. the value of $y$ or $f(x)$ for the values of $x$ in the domain.

Now, let us consider the given functions one by one:

$p(x) = 6-x$

Let us sketch the graph of given function.

Please find attached graph.

There are no values of $x$ for which p(x) is not defined so domain is All real numbers.

So, domain is $(-\infty, \infty)$ or $x\in R$

Its range is also All Real Numbers

So, Range is $(-\infty, \infty)$ or $x\in R$

$q(x) = 6x$

Let us sketch the graph of given function.

Please find attached graph.

There are no values of $x$ for which $q(x)$ is not defined so domain is All real numbers.

So, domain is $(-\infty, \infty)$ or $x\in R$

Its range is also All Real Numbers

So, Range is $(-\infty, \infty)$ or $x\in R$

Hence, the correct answer is:

$p(x)$ and $q(x)$ have the same domain and the same range.

4 0

3 years ago

An equilateral triangle with side lengths of 8.7 centimeters is shown. An apothem has a length of a and the radius has a length

shutvik [7]

Options A,B and D. The correction about the area of the triangle are

The apothem can be found using the Pythagorean theorem.
The apothem can be found using the tangent ratio.
The length of the apothem is approximately 2.5 cm.

<h3>How to solve for the length of the Apothem using the Pythagoras theorem</h3>

Firstly this is an equilateral triangle

3 of the sides have the length of 8.7cm

b = half of 8.7

= 4.35cm

To get A we have

a² + b² = c²

a² + 4.35² = 5²

When we solve this out we would have

a² = 25 - 18.9225

a ≈ 2.5 cm.

Hence we have proved that the first option is correct.

In an equilateral triangles, each of the angles = 60 degrees

60/2 = 30 is the angle that is made from the base

<h3>using tangent ratios </h3>

a / 4.35 = tan 30

then a = 4.35 tan 30

This would also give us an approximate of 2.5

For D

The calculations we have done based on the statements in A and B shows that D is correct as 2.5.

For the polynomial below, find F(-3) F(-3)= -4x^2+3x-1