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Alex
2 years ago
9

Help would be very much appreciated

Mathematics
1 answer:
harina [27]2 years ago
8 0

\dfrac{f(2+h)-f(2)}{h}=\dfrac{(2+h)^2+2(2+h)-1-(2^2+2\cdot2-1)}{h}=\\\\=\dfrac{4+4h+h^2+4+2h-1-(4+4-1)}{h}=\dfrac{h^2+6h+7-7}{h}=\dfrac{h^2+6h}{h}=h+6

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What represents the inverse of the function f(x)=4x
Yuki888 [10]

Answer:

\frac{x}{4}

Step-by-step explanation:

The given function is

f(x) = 4x

As we know

f(x) = y, which implies x= f^{-1} (y)

Therefore,

y = 4x

x = \frac{y}{4}

as x= f^{-1} (y)

So,

f^{-1} (y) = \frac{y}{4}

replacing y by x in the above expression

f^{-1} (x) = \frac{x}{4}

So our inverse function is  \frac{x}{4}

4 0
3 years ago
A line passes through the points (6,5) and (2,2) .
Rashid [163]
First is yes
Second is no
Third is no
Fourth is no
7 0
3 years ago
Calculate the distance between the points F=-1,-4) and c=(3,-9) and in the coordinate plane. Give an exact answer (not a decimal
Lapatulllka [165]
• Imagine we are using these two points to draw a triangle where new point E is a right angle with coordinates (-1, -9)
• FE = 5
• EC = 4
• FE^2 + EC^2 = FC^2
• (25) + (16) = 41 = FC^2
• FC = square root(41)
4 0
3 years ago
What are the solutions to the quadratic equation below x^2+20x+100=7​
aleksandrvk [35]

First you must have the quadratic equal to zero. In order to do this you must subtract 7 to both sides

x^2 + 20x + (100 - 7) = 7 - 7

x^2 + 20x + 93 = 0

Now you must find two numbers who's sum equals 20 and their multiplication equal 93

Are there any? NO!

This means that you have to use the formula:

\frac{-b±\sqrt{b^{2} - 4ac} }{2a}

In this case:

a = 1

b = 20

c = 93

\frac{-(20) plus/minus\sqrt{20^{2} - 4(1)(93)} }{2*1}

\frac{-20 plus/minus\sqrt{400 - 372} }{2}

\frac{-20 plus/minus\sqrt{28} }{2}

^^^We must simplify √28

√28 = 2√7

so...

\frac{-20 plus/minus 2\sqrt{7} }{2}

simplify further:

-10 plus/minus\sqrt{7

-10 + √7

or

-10 - √7

***plus/minus = ±

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0
3 years ago
Mia used 3 different base 10 blocks to model a 3 digit number what is the number?
spin [16.1K]

Answer:

I think its 300

but wouldn't that be like a 2 digit number like 30? scince they are only 10 blocks 10 + 10 + 10 (3×10= 30)

If you dont understand just coment.

5 0
3 years ago
Read 2 more answers
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