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erastovalidia [21]
3 years ago
8

Write an exponential function in the form y=ab^xy=ab x that goes through points (0,8) and (2,288)

Mathematics
1 answer:
timofeeve [1]3 years ago
4 0

Answer:

y = 8•6^x

Step-by-step explanation:

Here, we want to write an exponential equation

To fully write this, we need the values of a and b

From the first coordinates given;

8 = a•b^0

a = 8 since b^0 = 1

Furthermore;

288 = 8•b*2

b^2 = 36

b = √36

b = 6

So we have ;

y = 8•6^x

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Find the difference. (3 • 1,000) – (2 • 100)
hodyreva [135]

Answer:

3x1000=3000

2x100=200

3000-200=2800

Step-by-step explanation:

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3 years ago
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Help me fill in the blanks please
Pani-rosa [81]

Answer:

Step-by-step explanation:

In ΔABC & ΔDCE

DE // AB              Given

∠CDE ≅ ∠CAB    Corresponding angles are congruent

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6 0
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What is the solution to 9(x-1)=-45
Nana76 [90]

Answer:

X is 4

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6 0
4 years ago
Katie wants to buy some popcorn for her family at the theater. Each small tub of popcorn costs $3 and each large tub of popcorn
Ksivusya [100]

The correct solution is shown in the graph (D)

Given that the budget is $24 and the minimum is 7 tubs, the fourth graph shows the area in which both constraints are satisfied: triangular area between the points

7 small tubs

8 small tubs

3 large and 4 small tubs

7 0
3 years ago
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Please help!! I don’t get it
Marrrta [24]

Answer:

Each hotdog costs $1.65

Each juice drink costs $1.05

Step-by-step explanation:

Let's begin by letting x represent the number of hot dogs and y the number of juice drinks.

The Baxter family bought 6 hot dogs and 4 juices for $14.10.

6x + 4y = 14.10

The Farley family bought 3 hot dogs and 4 juices for $9.15.

3x + 4y = 9.15

Now, we subtract these equations.

6x + 4y = 14.10\\- (3x + 4y = 9.15)

Since y has reversed coefficients, it gets eliminated. Now solve for x.

6x+4y-3x-4y=14.1-9.15\\3x = 4.95\\\frac{3x}{3} = \frac{4.95}{3}

\frac{4.95}{3} = 1.65

x = 1.65

NOW, we find y by substituting x with 1.65 (in either equation).

We'll use the first equation.

6x + 4y = 14.10

6(1.65) + 4y = 14.10

9.9 + 4y = 14.10\\4y = 14.1 - 9.9\\4y = 4.2

\frac{4y}{4} = \frac{4.2}{4} \\y = 1.05

x = 1.65

y = 1.05

x represents hotdogs and y represents juice drinks.

Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.

<em> I hope this helps! :)</em>

6 0
3 years ago
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