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3 years ago

5

Simplify using the distributive property

1 answer:

ad-work [718]3 years ago

8 0

Answer:

3/5 is the number that can be distributed across two terms inside parentheses.

you might not need it but:

x = 5

Step-by-step explanation:

<u>3/5(x - 10)</u> = 18 - 4x - 1

using distributive property, open the parentheses:

<u>3/5x - 6 </u>= 18 - 4x - 1

Simplify:

3/5x + 4x = 17 + 6

4⅗x = 23

x = 5

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Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)

vagabundo [1.1K]

Answer:

Considering the given equation $y = log_{3}x\\$

And the ordered pairs in the format $(x, y)$

I don't know if it is log of base 3 or 10, but I will assume it is 3.

For $(\frac{1}{3}, a_{0} )$

$x=\frac{1}{3}$

$y=a_{0}$

$y = log_{3}x\\y = log_{3}(\frac{1}{3} )\\y=-\log _3\left(3\right)\\y=-1$

So the ordered pair will be $(\frac{1}{3}, -1 )$

For $(1, a_{1} )$

$x=1$

$y=a_{1}$

$y = log_{3}x\\y = log_{3}1\\y = log_{3}(1)\\Note: \log _a(1)=0\\y = 0$

So the ordered pair will be $(1, 0 )$

For $(3, a_{2} )$

$x=3$

$y=a_{2}$

$y = log_{3}x\\y = log_{3}3\\y = 1$

So the ordered pair will be $(3, 1 )$

For $(9, a_{3} )$

$x=9$

$y=a_{3}$

$y = log_{3}x\\y = log_{3}9\\y=2\log _3\left(3\right)\\y=2$

So the ordered pair will be $(9, 2 )$

For $(27, a_{4} )$

$x=27$

$y=a_{4}$

$y = log_{3}x\\y = log_{3}27\\y=3\log _3\left(3\right)\\y=3$

So the ordered pair will be $(27, 3 )$

For $(81, a_{5} )$

$x=81$

$y=a_{5}$

$y = log_{3}x\\y = log_{3}81\\y=4\log _3\left(3\right)\\y=4$

So the ordered pair will be $(81, 4 )$

4 0

3 years ago

2/3x+15=4<br> With explaination

mezya [45]

2/3x=4-15
2/3x=-11
2=3x*-11
2=-33x
2/-33=-33x/-33
x=-2/33

6 0

3 years ago

Write the function for the graph

Kruka [31]

Answer:

Option A is correct.

The function for the given graph is;

$f(x)=2\cdot 4^x$

Step-by-step explanation:

An exponential function is in the form of $y =ab^x$ ......[1] where a is the initial value and b≠ 0 , b >1 .

Given two points as shown in figure i.e,

let A = (0, 2) and B = (1,8)

Substitute these points in equation [1] we have;

For A = (0,2)

$2 = ab^0$ = a

⇒ a = 2

and

for B = (1, 8)

$8 = ab^1$

or

$ab = 8$

Substitute the value of a=2 in above equation to solve for b;

2b = 8

divide both sides by 2 we get;

b = 4

Then, the function for the graph is, y= $f(x)=2\cdot 4^x$

3 0

2 years ago

Read 2 more answers

Plaese help i was stuck on it for a while

blagie [28]

Answer:

10

Step-by-step explanation:

30x2=60

60/6=10=

b=10

5 0

3 years ago

Knowing that ΔQPT ≅ ΔARZ, a congruent side pair is:

Travka [436]

I would say the answer is A.

8 0

3 years ago

Read 2 more answers