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faltersainse [42]
3 years ago
14

Find 4 consecutive integers if the sum of the first and second is 63

Mathematics
2 answers:
alexdok [17]3 years ago
8 0

Answer:

30,31,32,33

Step-by-step explanation:

Let the four consecutive numbers be (x-2), (x -1), x , (x + 1)

(x- 2) + (x+1) = 63

x - 2 + x +1 = 63

2x -1 =63

2x = 63 +1

2x = 64

x = 64/2

x = 32

x-2= 32 - 2 = 30

x-1 = 32 - 1 = 31

x = 32

x + 1 = 32 + 1 = 33

mr_godi [17]3 years ago
4 0

Answer:

31, 32, 33, 34

Step-by-step explanation:

31+32=63

The numbers are four consecutive integers.

Hope this helps!

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What is a acute triangle and what do a acute triangle look like?​
Llana [10]

Answer:

Step-by-step explanation:

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5 0
3 years ago
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H(1)=-6 h(2)= 20 h(n)= h(n-2)+h(n-1) What is the value of h(3)?
Elina [12.6K]

9514 1404 393

Answer:

  14

Step-by-step explanation:

Use the formula with n=3.

  h(3) = h(3-2) +h(3-1)

  h(3) = h(1) +h(2)

  h(3) = -6 +20 . . . . . substitute the given values

  h(3) = 14

6 0
3 years ago
Consider the function f(x)= 2/5x-4
Gre4nikov [31]

Answer: a) \frac{5}{2}x+10=f^{-1}(x)=g(x)

Step-by-step explanation:

Since we have given that

f(x)=\frac{2}{5}x-4

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

y=\frac{2}{5}x-4

Switching x to y , we get

x=\frac{2}{5}y-4

5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)

b) . Use composition to show that f(x) and g(x) are inverses of each other.

\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

Similarly,

\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


5 0
4 years ago
Can anyone help me refresh my mind?!
Nuetrik [128]
That is correct. The log3 stays the same and the numerator goes first and then the denominator goes second. When it’s a fraction like that one, the standard form would be subtraction.
8 0
3 years ago
1. Evaluate the function f(x)=3x-1 using the domain of -2, 0, 3, and 5. Results are to be shown in a table.
IceJOKER [234]

Answer:

See explanation

Step-by-step explanation:

You are given the function f(x)=3x-1

The domain of the function are all possible values of variable x, so you can find f(x) for x=-2, 0, 3, 5:

f(-2)=3\cdot (-2)-1=-6-1=-7\\ \\f(0)=3\cdot 0-1=0-1=-1\\ \\f(3)=3\cdot 3-1=9-1=8\\ \\f(5)=3\cdot 5-1=15-1=14

The table is

\begin{array}{cc}x&f(x)\\-2&-7\\0&-1\\3&8\\5&14\end{array}

The inverse function f^{-1}(x) has the domain which is the range of the function f(x) (all possible values of f(x)), so the domain of inverse function is {-7,-1,8,14}

6 0
3 years ago
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