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4 years ago

Which is different? Find "both" answers.

Mathematics

1 answer:

Alina [70]4 years ago

8 0

B & C would be your answer because 3^-3 would turn into a fraction, 1/3^3 which is the same as C.

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f(x) = 20(1.5)x. Let your dependent variable in the function be y. Write the function that models the independent variable in te

mars1129 [50]

Answer:

$x=log_{1.5}(\frac{y}{20})$

Step-by-step explanation:

Considering the function:

$f(x) = 20\, (1.5)^x$

The independent variable is "x" and we are asked to model it in terms of the variable "y":

$f(x) = 20\, (1.5)^x\\y=20\, (1.5)^x$

Then, in order to solve for x (which resides in the exponent), we need to use the logarithm function.

Since the base of the exponent is 1.5, we need to use the logarithm base 1.5, to lower that exponent "x":

$y=20\, (1.5)^x\\\frac{y}{20} =(1.5)^x\\log_{1.5}(\frac{y}{20}) =x\\x=log_{1.5}(\frac{y}{20})$

6 0

3 years ago

What is the simplified form of the expression 3a + 7 - a - 7

Sonja [21]

You can simplify expressions by simplifying parentheses by using the distributive property and combing like terms.

Combining like terms is the process of adding up numbers with the same variable(s) and exponent. If a term does not have an exponent then an exponent of 1 is implied.

There is no parentheses in the expression 3a + 7 - a - 7
But, there are like terms in the expression.

Which are the like terms?

3a and a are both like terms. They both have the same variables and they both have the same exponent.

7 and -7 are like terms, too.

3a + 7 - a - 7
2a

So, 2a is the simplified version.

6 0

3 years ago

Read 2 more answers

The sum of the squares of three consecutive positive integers is 7805. What is the sum of the cubes of the three original intege

Vitek1552 [10]

Answer:

398259

Step-by-step explanation:

Let from the given positive integers, x be the smallest integers,

Also, numbers are consecutive,

So, the second integer = x + 1,

Third integer = x + 2,

According to the question,

$x^2+(x+1)^2+(x+2)^2=7805$

$x^2+x^2+2x+1+x^2+4x+4=7805$

$3x^2+6x+5=7805$

$3x^2+6x+5-7805=0$

$3x^2+6x-7800=0$

$x^2+2x-2600$

By middle term splitting,

$x^2+(52-50)x-2600=0$

$x^2+52x-50x-2600=0$

$x(x+52)-50(x+52)=0$

$(x-50)(x+52)=0$

By zero product property,

x-50 = 0 or x + 52 =0

⇒ x = 50 or x = -52 ( not possible )

Hence, numbers are 50, 51, 52,

∵ (50)³ + (51)³ + (52)³ = 125000 + 132651 + 140608 = 398259

6 0

3 years ago

Luis is buying flour for his bakery, and he buys 8 sacks of flour for $25.75 each. He also has to pay $36.50 for delivery. How m

Vinil7 [7]

For just the flour he would pay 206$ but for the flour and delivery he would pay 242.50$

8 0

3 years ago

A line contains the points (3,9) and (-1,1) what is the equation of the line?

kirza4 [7]

To find the equation of a line using two given set of points, you must first find slope. To do so, we must use the slope formula:
y2 - y1 / x2 - x1

In this case:
1 - 9 / -1 - 3 = -8 / -4
- 8 / -4 = 2 (simplified)

Now we can use the point-slope formula:
y - y1 = m(x - x1)

y - 1 = 2(x + 1 )
y - 1 = 2x + 2
y = 2x + 3

In order to make 3x - y = 6 in slope intercept form, we must isolate y.

- y = -3x + 6
Note: y cannot be negative, so we'll multiply both sides by -1
( -1 ) - y = - 3x + 6 ( -1 ) = y = 3x -6

6 0

4 years ago

Read 2 more answers