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Naddika [18.5K]

2 years ago

7

The function f(x) = 1/2x + 3/2 is used to complete this table. Which statements are true of the given function? Check all that a

pply.
the numbers on the table are. (-1,1) (0,2/3) (1,2) (2,5/2)

2 answers:

allochka39001 [22]2 years ago

4 0

I don’t know whisking you the best of luck

lyra2 years ago

0 0

Answers:
It's f(0)= 3/2
and f(4)=7/2

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URGENT HELP ME PLEASE

Trava [24]

Answer:

(a) $\log_3(\dfrac{81}{3})=3$

(b) $\log_5(\dfrac{625}{25})=2$

(c) $\log_2(\dfrac{64}{8})=3$

(d) $\log_4(\dfrac{64}{16})=1$

(e) $\log_6(36^4)=8$

(f) $\log(100^3)=6$

Step-by-step explanation:

Let as consider the given equations are $\log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?$ .

(a)

$\log_3(\dfrac{81}{3})=\log_3(27)$

$\log_3(\dfrac{81}{3})=\log_3(3^3)$

$\log_3(\dfrac{81}{3})=3$ $[\because \log_aa^x=x]$

(b)

$\log_5(\dfrac{625}{25})=\log_5(25)$

$\log_5(\dfrac{625}{25})=\log_5(5^2)$

$\log_5(\dfrac{625}{25})=2$ $[\because \log_aa^x=x]$

(c)

$\log_2(\dfrac{64}{8})=\log_2(8)$

$\log_2(\dfrac{64}{8})=\log_2(2^3)$

$\log_2(\dfrac{64}{8})=3$ $[\because \log_aa^x=x]$

(d)

$\log_4(\dfrac{64}{16})=\log_4(4)$

$\log_4(\dfrac{64}{16})=1$ $[\because \log_aa^x=x]$

(e)

$\log_6(36^4)=\log_6((6^2)^4)$

$\log_6(36^4)=\log_6(6^8)$

$\log_6(36^4)=8$ $[\because \log_aa^x=x]$

(f)

$\log(100^3)=\log((10^2)^3)$

$\log(100^3)=\log(10^6)$

$\log(100^3)=6$ $[\because \log10^x=x]$

5 0

3 years ago

What is the solution of the inequality x^3+3x^2>7x+6

sveta [45]

Answer:

<u><em>x>2</em></u>

Step-by-step explanation:

<u><em>x3+3x2=7x+6</em></u>

<u><em>x3+3x2−(7x+6)=7x+6−(7x+6)</em></u>

<u><em>x3+3x2−7x−6=0</em></u>

<u><em>(x−2)(x2+5x+3)=0</em></u>

<u><em>x−2=0 or x2+5x+3=0</em></u>

<u><em>x=2 or x=−0.6972243622680054 or x=−4.302775637731995</em></u>

<u><em>x<−4.302776</em></u>

<u><em>−4.302776<x<−0.697224</em></u>

<u><em>−0.697224<x<2</em></u>

<u><em>x>2(Works in original inequality)</em></u>

3 0

2 years ago

What two step equation when solved does x=-3

Travka [436]

Answer:

x + 3 = 0.

Step-by-step explanation:

One would be:

x + 3 = 0 Subtract 3 from both sides:

x + 3 - 3 = 0 - 3

x = -3

7 0

2 years ago

Determine the value of that makes the equati

arsen [322]

Answer:

x = 5.5

Step-by-step explanation:

6-(2x-4)+x = 6-2x+4+x = 10-x
3(x-4) = 3x-12
Based on the 1st and the 2nd steps, 10-x=3x-12 --> 10+12=3x+x --> 22 = 4x --> x =22/4 = 5.5

3 0

2 years ago

What is the simplest form of this expression?

Dimas [21]

Answer:

(4-m-1)-5

Remove the bracket

= 4-m-1-5

= -2-m

Hope this helps.

7 0

3 years ago