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Serjik [45]
3 years ago
8

Rob is setting up a model train track that is 3 3/8 feet long no telephone pole is needed at the start of the track. However alo

ng the track he places a telephone pole every 3/8. Foot a part. How many telephone poles dose he need
Mathematics
1 answer:
SOVA2 [1]3 years ago
7 0
First we need to convert 3 3/8 into 1/8ths:

3 \frac{3}{8} = \frac{27}{8}

Now, we need to see how many times 3/8 goes into 27/8:

\frac{27}{8} \div \frac{3}{8} = 27 \div 3 = 9

So we know he needs 9 telephone poles
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sveticcg [70]

Answer:

g(x) = 9(\frac{1}{3})^x

Step-by-step explanation:

Exponential function 'g' that can be written as g(x) = a.bˣ

From the graph attached,

Graph of the function passes through two points (0, 9) and (1, 3)

g(0) = a.b⁰

9 = a

Similarly, g(1) = a.b¹

3 = a.b

3 = 9(b)

b = \frac{3}{9}=\frac{1}{3}

Therefore function will be,

g(x) = 9(\frac{1}{3})^x

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Olivia goes to Egypt and saw a model of triangle shaped pyramid. She enlarging using a scale factor of 1.2. What will be the per
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8 0
2 years ago
10 × 4 - 2 × (4² ÷ 4) ÷ 2 ÷ 1/2 + 9
lutik1710 [3]
47 should be your answer. 
6 0
3 years ago
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A water bottle holds 5/8 liter of water when it is 3/4 full. which statement best describes the quotient of 5/8 ÷ 3/4​
Aloiza [94]

Answer:

The amount of water in liters in 1/4 of the container.

Step-by-step explanation:

5 0
2 years ago
Express x^2+8x+15 in the form (x+a)^2-b
IRINA_888 [86]
<h2>'(x+4)^2-1' in the form of (x+a)^2 - b.</h2>

Step-by-step explanation:

We have,

x^2 + 8x + 15

To express x^2 + 8x + 15 in the form of  (x+a)^2 - b = ?

∴ x^2 + 8x + 15

Adding and subtracting 1, we get

= x^2 + 8x + 15 + 1 - 1

= x^2 + 8x + 16 - 1

= x^2 + 2(x)(4) + 4^{2} - 1

Using the algebraic identity,

(x+y)^{2}=x^{2} +2xy+y^{2}

= (x+4)^2-1

Thus, (x+4)^2-1 in the form of (x+a)^2 - b.

7 0
3 years ago
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