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alexdok [17]
3 years ago
13

Decide if the function is an exponential function. If it is, state the initial value and the base. (2 points) y = - 7.4 ⋅ 6x

Mathematics
1 answer:
mixer [17]3 years ago
4 0
This is not an exponential function. This is a linear function.
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Rachel has 30 pounds of a mixture of candy that sells for $1.00/lb. If lollipops sell for $0.95/lb and caramel candies sell for
Lina20 [59]

Answer:

Twenty Pounds

Step-by-step explanation:

Equation #1:

30lbs x Mix Price = (Lollipop Lbs  x 0.95)  + (Caramel Lbs X 1.10)

Equation #2:

Lollipops Lbs + Caramel Lbs = 30 Lbs

<em>Rearrange expressions to solve for different variables</em>

EQ1:   Caramel Lbs = (30 - .95 Lollipop Lbs)/ 1.10      NOTE: (mix price = 1.00)

EQ2:  Lollipop Lbs = 30 - Caramel Lbs

<em>Substitute formula 1 into formula 2</em>

Lollipop Lbs = 30 - [(30 - .95 Lollipop Lbs)/1.10]

<em>Distribute divisor</em>

Lollipop Lbs  = 30 - 27.2727 + .8636 Lollipop Lbs

<em>Collect terms</em>

Lollipop Lbs  =  2.7273 + .8636 Lollipop Lbs

<em>Remove .8336 Lollipops from both sides of the equation</em>

.1364 Lollipop Lbs = 2.7273

<em>Divide both sides by .1364  </em> (Answer is  19.9949 which rounds to 20)

Lollipop Lbs =  20

PROOF:

30 = (20 x 0.95) + (10 x 1.10)

30 = 19 + 11

30 = 30   TRUE!


6 0
3 years ago
An athlete takes 10 rounds of a rectangular park, 60 m long and 35 m wide. Find the total distance covered by him
serious [3.7K]

Answer:

1900M

Step-by-step explanation:

If the athlete runs round a rectangular park, the distance covered can be determined by calculating the perimeter of the park

Perimeter of a rectangle = 2 x (length + width)

2 x (60 + 35) = 190m

Since he run rounds 10 times, the total distance covered = 190m x 10 = 1900m

5 0
3 years ago
The sum of 6 and the product of 8 and x" into mathematical expression
Inga [223]

Answer:

6=8x

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the
Levart [38]

Answer:

Subtracting 7

Step-by-step explanation:

<u><em>Given:</em></u>

<em>Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack. </em>

<u><em>To Find:</em></u>

<em>What kind of sequence is this?</em>

<u><em>Solve:</em></u>

<em>Let's make a table:</em>

<em />

<em>[1 stack]  45 </em>

<em>[2 stack] 38</em>

<em>[3 stack] 31</em>

<em>[4 stack] 24</em>

<em />

<em>Now all we have to do is subtract to see what each is:</em>

<em>45 - 38 = 7</em>

<em>38 - 31 = 7</em>

<em>31 - 24 = 7</em>

<em>Thus,</em>

<em>[1 stack]  45 ⇒ 7</em>

<em>[2 stack] 38 ⇒ 7 </em>

<em>[3 stack] 31 ⇒ 7 </em>

<em>[4 stack] 24 ⇒ 7 </em>

<em>Hence, each stack is going down by 7.</em>

<em />

<u><em>Kavinsky</em></u>

<em />

7 0
2 years ago
Cole spent a total of 523.46 on holiday gifts for his friends and family. If he bought gifts for eleven people,about how much di
Vlada [557]

Answer:

Cole spend 47.587 on buying gifts for each person.

Step-by-step explanation:

Given:

Total money spend on gifts = 523.46

Number of people gifts were bought for = 11

We need to find how much he spend on each person.

Solution:

To find how much he spend on each person we will divide total money spend on gifts with number of people gifts were bought for.

framing in equation form we get;

Spending on each person = \frac{523.46}{11} = 47.587

Hence Cole spend 47.587 on buying gifts for each person.

6 0
3 years ago
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