What are the domain and range of the logarithmic function f(x) = log7x?

I need help on number 1

musickatia [10]

A cube has 6 faces. The surface area of a cube is 6 times the area of one face.

SA = 6s^2

SA = 6 * 6cm^2

SA = 6 * 36cm^2

SA = 216cm^2

6 0

3 years ago

Does the table represent a linear function? Explain why or why not

OlgaM077 [116]

The table doesn't represent linear function

Step-by-step explanation:

We need to identify if the table represent a linear function or not.

<u>Linear Function </u>

A linear function is defined as a straight line with an x and y intercept and the same slope through the whole line.

Finding the slope of elements in the table:

x y

0 0

1 1

2 8

3 27

Slope= y/x

Slope = 0/0=0

slope = 1/1 = 1

slope = 8/2 = 2

slope = 27/3 = 9

The function represented is: y=x^3

Since the slope of points x and y in the table is not same, and its graph is not linear.

So, the table doesn't represent linear function

Keywords: Linear Function

Learn more about Linear function at:

#learnwithBrainly

4 0

3 years ago

HELP. It’s LOG form. Since were out of school I forgot how I did this and it’s due so it would be a life saver.

____ [38]

Answer:

see below

Step-by-step explanation:

exponent to log: $a^b$ = c ---> logₐc = b

ie. question 6

log ₁₀(3x+1) = 2 -----> $10^{2} = 3x+1$

that will get you through questions 1 to 3, 5 to 6, and 8

in question 4, all you have to do is know that 2^2 = 4 and 2^3 = 8, by setting the bases equal, you can manipulate the exponents to get 2x+8 = 3x-3

for questions 7 and 9,

remember that:

logₐc + logₐd = logₐ(cd)

logₐc - logₐd = logₐ( $\frac{c}{d}$ )

remember change of base is $log_{a} b = \frac{log_xb}{log_xa}$ , this will be useful if you need your calculator since calculators only have base 10 and maybe if your calculator is good enough natural base e

4 0

3 years ago

The hypotenuse of a right triangle is 10 ft long. the shorter leg is 2ft shorter than the longer leg. find the side lengths of t

Gwar [14]

Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
(l-2)^2+l^2=10^2
l-2+l=10
2l-2=10
2l=12
l=6
Now we can substitute in for s in our simpler equation
s=6-2
s=4
We now know that using our knowledge of systems of equations, the side lengths of this right angle triangle are 6 and 4.

5 0

3 years ago

Find the equation in standard form of the line passing through the points (2,-3) and (4,2)

mario62 [17]

The line passes through (2,-3) and (4,2).

Calculate the slope of the line.
m = (2+3)/(4-2) = 5/2

The equation of the line is therefore
$\frac{y-2}{x-4} = \frac{5}{2}$

Cross multiply.
2(y-2) = 5(x-4)
2y - 4 = 5x - 20
2y = 5x - 16
Rewrite as
5x - 2y = 16

Answer: C. 5x - 2y = 16

8 0

3 years ago