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zavuch27 [327]
3 years ago
5

30 points freeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Mathematics
1 answer:
Aloiza [94]3 years ago
4 0

Answer:Thank u!!!!!!!!!

Step-by-step explanation:

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15. Explain why we need to specify 0 < b < 1 and b > 1 as valid values for the base b in the expression logb(xx).
damaskus [11]

Answer:

The base (b) has to be positive and different of 1. The logarithm is the inverse of exponential, so:

logb(a) = x ⇒ a = bˣ

So, for b = 0 ⇒ 0ˣ = a

And there is impossible, "a" only could be 0.

For b = 1 ⇒ 1ˣ = a

And the same thing would happen, the logarithming would be to be 1, and the function will be extremally restricted.

For b<0, then the expression a = bˣ will be also restricted, and will not represent all values of a.

So, 0<b<1 and b >1.

3 0
3 years ago
Compare the equation, y = 9x - 4x2, the graph below, and the table below. Which has the steepest rate of change from x = 1 to x
jeka57 [31]
The correct answer to this question is  C. equation, –3

The equation is 
<span>y = 9x - 4x^2
</span>y = -4x^2 + 9x
y = -x(4x - 9)

The steepest rate of change from x = 1 to x =2

x = -1 ; y = 0
x = 1 ; y = 2
x = 2 ; y = 0
x  =3 ; y = -4

So, based from the table show, the steepest rate of change is <span>C. equation, –3</span>
4 0
3 years ago
PLEASE HELP PLEASE HELP
Nataly_w [17]

Answer:

D

Step-by-step explanation:

Sum the three angle of triangle = 180

x + 53 + 60 = 180

x + 113 = 180

x = 180 - 113

x = 67

5 0
3 years ago
Read 2 more answers
Solve for the equation for all x values by completing the square x^2 - 27= 67
navik [9.2K]

Answer:

The solutions for the equation x^2\:-\:27=\:67 are x=\sqrt{94},\:x=-\sqrt{94}.

Step-by-step explanation:

To find the solutions for the equation x^2\:-\:27=\:67 you must:

\mathrm{Add\:}27\mathrm{\:to\:both\:sides}\\\\x^2-27+27=67+27

\mathrm{Simplify}\\\\x^2=94

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{94},\:x=-\sqrt{94}

6 0
3 years ago
use the elimination method to solve the system of equations choose the correct ordered pair 7x+4y=39 2y+4y=14
Anvisha [2.4K]

x = 5 \: and \: y = 1.

Step-by-step explanation:

7x + 4y = 39 \:  -  {eq}^{n} (1)

2x + 4y = 14  \: \:  -  {eq}^{n} (2)

Multiply Equation no (1) with 2 and Equation no (2) with 7.

14 x + 8y = 78.

14x + 28y = 98.

( - ) \: \:  \:  ( - ) \:  \:  \: ( - )

0x +  -20y =  - 20

- 20y =  - 20

y =  \frac{ - 20}{ - 20}

y = 1

Substitute the value of "y" in Equation no (1)

7x + 4y = 39.

7x + 4(1) = 39.

7x + 4 = 39.

7x = 39 - 4

7x = 35.

x =  \frac{35}{7}

x = 5.

6 0
3 years ago
Read 2 more answers
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