All categories

4 years ago

Please Help! It is Pre-Calc and I need to know the answer!

Mathematics

1 answer:

Veronika [31]4 years ago

7 0

That's the derivative at 2 so is going to be 2(2)+1=5, second choice, but let's do it the hard way.

$\displaystyle \lim_{h \to 0} \dfrac{f(2+h)-f(2)}{h} = \lim_{h \to 0} \dfrac{(2+h)^2 + (2+h) + 1 -(2^2 + 2 + 1)}{h}$

$\displaystyle =\lim_{h \to 0} \dfrac{4 + 4h +h^2 +h-4}{h}=\lim_{h \to 0} \dfrac{h^2 +5h}{h} = \lim_{h \to 0} h+5 = 5$

Answer: 5, second choice

You might be interested in

A gumball machine has different flavors sour apple,grape,orange and cherry . There are six of each flavor. $.50 are put in the m

tamaranim1 [39]

Answer:

30/552

Step-by-step explanation:

In order to solve this problem you need to multiply the probability of getting grape for the first gumball with the probability of getting grape for the second gumball. Since there are 6 grape gumballs and a total of 24 gumballs (6*4). Then the probability of getting grape for the firs one is

$\frac{6}{24}$

Now there are only 5 grape gumballs available and one less in the total supply, therefore the probability of getting grape in the second try is

$\frac{5}{23}$

Finally we multiply them together to find the probability of getting two grapes in a row.

$\frac{6*5}{24*23}$ = $\frac{30}{552}$

4 0

3 years ago

What if there is more than one variable?

Nadya [2.5K]

Answer:

a10 b10

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the slope of the line that passes through (4, 6) and (1, 10).

Jlenok [28]

Answer:

given us,

(x1y1) = (4,6)

(x2y2)= (1,10)

here

slope= (y2-y1)/ (x2-x1)

= (10-6)/ (1-4)

= 4/ (-3)

Step-by-step explanation:

4/ (-3)

5 0

3 years ago

Which graph represents an exponential function?

geniusboy [140]

Answer:The function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

What are exponential functions?

The exponential functions are written in the form of y = aeᵇˣ, where the output y increases exponentially for the input x.

In order to find the graph that represents an exponential function, we will discuss each of the following graphs,

For the 1st graph, (Black),

In the first graph, the graph is of a parabola, and the function which represents this kind of graph is a quadratic equation, therefore, this graph represents a parabolic equation. It is given by the function,

y=ax²+bx+c or y=a(x-h)²+k

For the 2nd graph, (Red),

In the second graph, the graph represented is the graph of a reciprocal function, the function that can be represented by the graph,

y=a/x + b

For the 3rd graph, (Blue),

In the third graph, the graph represented is the graph of root function, it can be modeled as,

y = a+√(x+b)

For the 4th graph, (Green),

In the fourth graph, the graph represented is the graph of an exponential function, and it can be modeled as,

y = aeᵇˣ

Hence, the function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

Step-by-step explanation:

7 0

2 years ago

the ratio of an equal side of an isosceles triangle to it's base is 3:4 and it's perimeter is 60 cm. find its area.

Ann [662]

Answer:

160.10 (2 dp.)

Step-by-step explanation:

So when you have ratio questions, similar to this one, you should always add up the parts.

This question actually involves many steps.

We are trying to find the length of all the sides first, we already know that the 3 sides add up to 60cm.

The triangle is made up of 3:3:4, as it has two equal sides and one base. The total parts is 3 + 3 + 4 = 10.

To find how much one part is. we divide the perimeter by the total parts

60/10 = 6

If one part equals 6, then we just multiply by the number of parts to find the entire length, this means that the sides equal 6 x 3 = 18 and the base is

6 x 4 = 24.

Now, we need to find the height in order to find the area of the triangle, to find the height we will be using Pythagoras theorem.

Pythagoras theorem states that a^2 + b^2 = c^2

If we split the triangle in half down the middle, we have a right angle triangle, we know the length of hypotenuse and one side.

The hypotenuse would be one of the equal sides of the isosceles triangle, which is 18cm, and the other side would be half of the base which is 24/2 = 12cm , as we are splitting the isosceles triangle down the middle.

Now we can use the theorem to find the height:

a = height

b = 12

c = 18

Formula:

h^2 + 12^2 = 18^2

rearrange and simplify:

18^2 - 12^2 = h^2

324 - 144 = h^2

180 = h^2

h = root 180 (we will leave this as a surd as it is not a perfect square)

Now that we know the height we can find the area, the formula of a triangle is half x base x height:

1/2 x 24 x root 180

= 160.10 (2 dp.)

Hope this helps,

Cate

5 0

3 years ago