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sveticcg [70]
3 years ago
11

The exponential function h whose graph is given below, can be written as h(x)=a*b^x Complete the equation for h(x)

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer:

  • h(x) = 3*2^x

Step-by-step explanation:

<u>Given</u>

  • Equation h(x)=a*b^x and its graph

<u>Two points given on the graph:</u>

  • h(0) = 3 and
  • h(1) = 6

<u>Substitute the coordinates and simplify:</u>

  • ab^0 = 3 ⇒ a = 3
  • ab^1 = 6 ⇒ ab = 6

<u>Divide the second equation by the first to find the value of b:</u>

  • b = 6/3 = 2

<u>The equation is:</u>

  • h(x) = 3*2^x
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Please help show work
11111nata11111 [884]

I will lay out the answers according to the days you have on your picture.

Monday:

<em>1. -12 x -5 </em>

A negative multiplied by a negative will equal a positive answer. So:

<em>12x5= 60</em>.

To do this without a calculator, first do

<em>5x10= 50, </em>then

<em>5x2=10. </em>

<em>50+10= 60.</em>


<em>2. True or False: 27= 3 x 3^3</em>

First find out what 3 cubed is. That means 3x3x3. Since 3x3=9, and 9x3= 27, the 3 cubed is 27.

But you still need to multiply by 3 yet! 27x3=81.

So this question is false.


<em>3. True or False: (-) / (+) = (-)</em>

A negative divided by a positive is indeed negative. So this is true.


Tuesday:

<em>1. 18+ (-16)</em>

Like before, a negative and positive equal a negatvie. So the question is really asking: 18-16 = 2.


<em>2. 18/ -3</em>

Again, positive divided by a negative (or the other way around) will equal a negative. So 18/3=6, and add the negative sign, so the answer is -6.


<em>3. (-5)(6)(-7)</em>

When a negative is multiplied by a positive, the answer is negative. But, if the negative is multiplied by another negative, the answer is positive. So the answer here is positive.

(5)(6)(7)

=30 x 7

=210


Monday #2

<em>1. (-)(-)(-)</em>

When two negatives are multiplied, the answer is a positive. But when multiplied by another negative, the answer becomes negative once again.


<em>2. -(4^2)= -16  </em>

This answer is true. 4 squared is 16, and becomes negative because of the negative sign in front of the 4 squared.


<em>3. -50+20</em>

This is almost like asking 50-20 = 30. But because we are going towards 0 from the negative range, the answer will be negative.


Tuesday #2

<em>1. If a=-8, then 4a...</em>

4(-8)

=-32


<em>2. Question unclear...</em>


<em>3. (-)+(-)</em>

<em>= positive</em>


Wednesday

<em>1. -5+3-3</em>

+3-3=0

So the answer is just -5


<em>2. absolute value of -8/4</em>

Just take off the negative sign. So just 8/4.


<em>3. -12+(-5)</em>

= -12-5

=-17

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3 years ago
Equivalent expression for 7(2x - 3y + 6) by modeling and by using the distributive property.
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14x-21y+42 should be your answer. hope it helps :)

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3 years ago
What is the definition of evaluate? this is for a test please help​
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Answer:

The definition of evaluate is to find a numerical expression or equivalent for - an equation, formula or function.

Step-by-step explanation:

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4 years ago
Czy 100 jest wielokrotnością liczby 8
In-s [12.5K]

Answer:

I don't understand.

Step-by-step explanation:

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3 years ago
Which linear inequality is represented by the graph?
SIZIF [17.4K]
The correct answer is B: y ≥ 1/3x - 1

(0,0) ⇒ within the shaded area

0 ≥ 1/3(0) - 1
0 ≥ 0 - 1
0 ≥ -1
True

(0, -3) ⇒ not within the shaded area

-3 ≥ 1/3(0) -1 
-3 ≥ 0 - 1 
-3 ≥ -1
False

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4 years ago
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