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Natalija [7]
4 years ago
13

Helppp meee please!!

Mathematics
2 answers:
MariettaO [177]4 years ago
6 0
Vertical stretch ununinin
kolbaska11 [484]4 years ago
3 0

Vertical stretch

Hope this helps! :)

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Express 9.21212121212... as a rational number, in the form pq
Mice21 [21]
x=9.212121\ldots=9.\overline{21}
100x=921.212121\ldots=921.\overline{21}
99x=921.\overline{21}-9.\overline{21}=921-9=912
\implies x=\dfrac{912}{99}=\dfrac{304}{33}
7 0
3 years ago
F(x)=4x+7. Find the inverse of f(x).
liraira [26]

Answer:

Step-by-step explanation:

f(x) = y = 4x + 7

Solve for "x"

4x + 7 = y ⇒ x = \frac{1}{4} y - \frac{7}{4}

Exchange the places "x" and "y"

f^{-1}(x) = \frac{1}{4} x - \frac{7}{4}  

or f^{-1} (x) = \frac{x-7}{4}

8 0
3 years ago
What is the place value of the 4 in 475
Sergio [31]
The 4 is in the hundreds place
7 0
3 years ago
Myra is a scientist and needs 45 gallons of a 16% acid solution. The lab is currently stocked only with a 20% acid solution and
asambeis [7]

Answer:

The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons

Step-by-step explanation:

Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:

x + y = 45

The concentration of acid of the final solution is:

0.2*x + 0.1*y = 45*0.16

0.2*x + 0.1*y = 7.2

Therefore we have a system of equation:

x + y = 45

0.2*x + 0.1*y = 7.2

We need to multiply the first equation by -0.1:

-0.1*x -0.1*y = -4.5

0.2*x + 0.1*y = 7.2

We now sum both equation:

0.1*x = 2.7

x = 2.7/0.1 = 27 gallons

y = 45 - 27  = 18 gallons

6 0
4 years ago
Which points lie on the graph of f(x) = log9x?<br> Check all that apply.
valkas [14]

Answer:

Let

y=f(x)

so

y=log9x

we know that

applying property of logarithms

y= log9x is equal to

------> equation 1

so

case 1) (-1/81, 2)

x=-1/81

y=2

substitute the value of y in the equation 1 to obtain the value of x

81 is not equal to -1/81-------> the point does not belong to the graph

case 2) (0, 1)

x=0

y=1

substitute the value of y in the equation 1 to obtain the value of x

9 is not equal to 0-------> the point does not belong to the graph

case 3) (1/9, -1)

x=1/9

y=-1

substitute the value of y in the equation 1 to obtain the value of x

1/9 is equal to 1/9-------> the point belongs to the graph

case 4) (3, 243)

x=3

y=243

substitute the value of y in the equation 1 to obtain the value of x

9^{243} is not equal to 3-------> the point does not belong to the graph

case 5) (9, 1)

x=9

y=1

substitute the value of y in the equation 1 to obtain the value of x

9 is equal to 9-------> the point belongs to the graph

case 6) (81, 2)

x=81

y=2

substitute the value of y in the equation 1 to obtain the value of x

81 is equal to 81-------> the point belongs to the graph

5 0
3 years ago
Read 2 more answers
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