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2 years ago

Write the equation that represents each table of values

Mathematics

1 answer:

rewona [7]2 years ago

4 0

9514 1404 393

Answer:

3. y = 3·4^x

4. y = 24·0.5^x

5. y = 45·0.9^x

Step-by-step explanation:

Each table appears to represent an exponential function. Such a function can be written in the form ...

y = a·b^x

where 'a' is the value of y when x=0, and 'b' is the ratio of the values of y when x=1 and x=0.

3. a = 3. b = 12/3 = 4

y = 3·4^x

4. a = 24. b = 12/24 = 0.5

y = 24·0.5^x

5. a = 45. b = 40.5/45 = 0.9

y = 45·0.9^x

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What is the prime factorization of 100 using exponent's?

makkiz [27]

Answer:

The Prime Factorization is:

2 x 2 x 5 x 5

In Exponential Form:

22 x 52

CSV Format:

2, 2, 5, 5

6 0

3 years ago

Question 9 of 15 (1 point)

mote1985 [20]

The number is -9

Step-by-step explanation:

Let x be the number then according to given statement

$4x+10 = x-17$

Subtracting 10 from both sides

$4x+10-10 = x-17-10\\4x = x-27$

Subtracting x from both sides

$4x-x = x-x-27\\3x = -27$

Dividing both sides by 3

$\frac{3x}{3} = \frac{-27}{3}\\ x = -9$

<u>Verification:</u>

$4(-9)+10 = -9-17\\-36+10=-26\\-26=-26$

The number is -9

Keywords: Linear equation, variables

Learn more about linear equation at:

#learnwithBrainly

7 0

3 years ago

The product of two numbers is −72. One of the factors is −9, what is the other factor?

frez [133]

The other factor is eight because 9 multiplied by eight is 72 and a negative times a positive is a negative

4 0

3 years ago

Read 2 more answers

What is the factored form of x^2-x-2

tekilochka [14]

For this case we have:

By definition, the factorization is an algebraic expression that is used to find two or more factors, taking into account that the product of these factors must be equal to the given expression.

That is to say:

Given an expression of the form $x ^ 2 + (a + b) x + ab$

We can factor in the following way:

$(x + a) (x + b)$

Since, its product is: $x ^ 2 + bx + ax + ab = x ^ 2 + (a + b) x + ab$ ,

checking the given definition.

If we have:

$x ^ 2-x-2$

We can factor:

$(x-2) (x + 1)$

When making your product we obtain: $x ^ 2 + x-2x-2 = x ^ 2-x-2$

Answer:

$(x-2) (x + 1)$

6 0

3 years ago

Evaluate: 11 + sqrt(-4 + 6×4÷3)

Murrr4er [49]

Answer:

$11+\frac{2\sqrt{15}}{3}$

Step-by-step explanation:

$11 + \sqrt{(-4 + 6\times4\div3)} \\\\11+\sqrt{\frac{-4+6\times \:4}{3}}\\\\\sqrt{\frac{-4+6\times \:4}{3}}=\frac{2\sqrt{5}}{\sqrt{3}}\\\\=11+\frac{2\sqrt{5}}{\sqrt{3}}\\\\\frac{2\sqrt{5}}{\sqrt{3}}=\frac{2\sqrt{15}}{3}\\\\=11+\frac{2\sqrt{15}}{3}$

3 0

3 years ago