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Rzqust [24]
3 years ago
14

Which of the following statements have the same result? Explain each step in solving each one.. .

Mathematics
1 answer:
Andru [333]3 years ago
3 0

Answer:

None, because 11\neq 9.5\neq 8.

Step-by-step explanation:

I. When f(x)=3x+2, then

f(3)=3\cdot 3+2=9+2=11.

II. Find the inverse function f^{-1}(x) for the function f(x)=\dfrac{2x-7}{3}.

y=\dfrac{2x-7}{3},\\ \\3y=2x-7,\\ \\2x=3y+7,\\ \\x=\dfrac{3y+7}{2},\\ \\f^{-1}(x)=\dfrac{3x+7}{2}.

Thus,

f^{-1}(4)=\dfrac{3\cdot 4+7}{2}=\dfrac{12+7}{2}=\dfrac{19}{2}=9.5.

III. Solve the equation 2y+14=4y-2:

14+2=4y-2y,\\ \\16=2y,\\ \\y=16:2=8.

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The syntax for the IF statement is as follows:
=IF(condition, value if true, value if false)

therefore, we can enter the information from the problem:

=IF($B$9>=470000,35000,1000)

7 0
4 years ago
I need help solving 7-3x=x-2(2+x)
mrs_skeptik [129]

Answer:

x = 5.5

Step-by-step explanation:

First, you need to distribute the -2:

-2(2+x) = -2x-4

Next you simplify:

x-2x = -x

Then you get all the x values on one side of the equation and everything else on the other side:

7-3x = -x-4   -->   11 = 2x

Finally, you isolate the x by dividing:

2x = 11   -->   x = 5.5

4 0
3 years ago
In a G.P., the third term exceeds the first term by 16.
Tresset [83]

Answer:

Step-by-step explanation:

In a G.P, the nth term is given as

Un=ar^(n-1)

Where

a is first term

n is nth term

And r is common ratio

So in the question given above,

The third term exceed the first term by 16

i.e U3=U1+16

Where U1=a. First term

U3=a+16

Given also that, the sum if the third term and fourth term is 72.

Then U3+U4=72.

We are told to find common ratio (r)

U3=ar^3-1

U3=ar^2

Also, U4=ar^3

U3+U4=72

ar^2+ar^3=72

ar^2(1+r)=72. equation 1

Also for

U3=a+16

ar^2=a+16

ar^2-a=16

a(r^2-1)=16. From (x^2-y^2)=(x+y)(x-y)

Then,

a(r-1)(r+1)=16. Equation 2

Divide equation 2 by equation 1

a(r-1)(r+1)/ar^2(1+r) =16/72

Then a cancel a and (1+r) cancel (1+r)

So,

(r-1)/r^2=2/9

Cross multiply

9(r-1)=2r^2

2r^2-9r+9=0

Solving the quadratic equation

2r^2-6r-3r+9=0

2r(r-3)-3(r-3)=0

(r-3)(2r-3)=0

r-3=0. Or. 2r-3= 0

Then r=3 or r=3/2

8 0
3 years ago
What is the distance from the origin to point P graphed on the complex plane below?
Aliun [14]
I believe it’s A but I may be wrong
3 0
3 years ago
Read 2 more answers
Write a SIMPLIFIED inequality for x that would give a rectangle with a length of 4 meters and a width of x+7 meters an area of m
Rashid [163]

Answer:

128 > 4*(x + 7)

Step-by-step explanation:

Given the following data;

Length = 4 meters

Width = x + 7 meters

Area = 128 m²

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = length * width

Substituting into the formula, we have;

128 > 4*(x + 7)

128 > 4x + 28

128 - 28 > 4x

100 > 4x

Dividing both sides by 4, we have;

25 > x

5 0
3 years ago
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