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Anastaziya [24]
2 years ago
10

*What is the range of f(x) = 3 + 9?​

Mathematics
1 answer:
myrzilka [38]2 years ago
8 0

Answer:

{12}

Step-by-step explanation:

Simplify f(x) such that it be f(x) = 12

Please mark for Brainliest!! :D Thanks!!

For more questions or more information, please comment below!

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What is the logarithmic function of the graph? show work
tatiyna

If the function of the logarithmic graph is written as

y=\log _ax^b

Since the graph has been shifted to the right from the origin by 5 units

Then

y=b\log _a(x-5)

a is base, b is coefficient, y and x are coordinates on the line

Taking a point on the line, say (21, 2)

x= 21 and y = 2

\begin{gathered} y=\text{ }\log _a(x-5)^b \\ 2\text{ = }\log _a(21-5)^b \\ a^2=(16)^b \\ (a^2)^1=(4^2)^b \\ \text{Equating the base and the power} \\ a\text{ = 4 and b= 1} \end{gathered}

If the base is 4 and the coefficient is 1

The logarithmic function of the graph is

y=\text{ }\log _4(x-5)

6 0
1 year ago
Write an express for the speed of the boat coming back from the island in terms of the other boats speed. Let x be the speed of
Trava [24]

If we let x be the speed of the boat you are taking to the island (the steamboat), then we know that the speed of the other boat (the tall ship) is 10 knots less than the steamboat's. So the speed of the tall ship (for the return trip) is (x - 10) knots.


8 0
3 years ago
Read 2 more answers
Find the area of the rectangle
Hunter-Best [27]

Answer:

<h2>Option A = 1*3 = 3 unit² </h2>

area \: of \: rectangle \:  = length \:  \times breath

length \:  = distance \: between \: f \: and \: g \: or \: between \: e \: and \: h \:

<h3>Distance between f and G = distance between E and H </h3>

F = (3,7)

G = (6,4)

H = (5,3)

E= (2,6)

= (3 units)

<h3>Distance between FE = GH </h3>

= 1 units

Area = 3* 1

= 3 units²

5 0
2 years ago
Write an equation of a line (in standard form) that has the same slope as the line 3x-5y=7 and the same y-intercept as the line
Vanyuwa [196]

Answer:

3x-5y=-20

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have two standard form equations which we will get a slope and a y-intercept from. We will convert each to slope intercept form to get the information. We will then write a new slope-intercept equation and convert to standard form.

3x-5y=7 has the same slope as the line. Let's convert.

3x-5y=7\\3x-3x-5y=7-3x\\-5y=7-3x\\\frac{-5y}{-5}=\frac{7-3x}{-5} \\

y=\frac{3}{5}x -\frac{7}{5}

The slope is m=\frac{3}{5}.

2y-9x=8 has the same y-intercept as the line. Let's convert.

2y-9x=8\\2y-9x+9x=8+9x\\2y=8+9x\\\frac{2y}{2}=\frac{8+9x}{2}

y=\frac{8}{2}+\frac{9x}{2}  \\y=4+\frac{9}{2}x

The y-intercept is 4.

We take m=\frac{3}{5} and b=4 and substitute into y=mx+b.

y=\frac{3}{5}x+4

We now convert to standard form.

-\frac{3}{5}x+y=\frac{3}{5}x-\frac{3}{5}x+4\\-\frac{3}{5}x+y=4

For standard form we need the coefficients of x and y to be not zero or fractions. We need integers but the coefficient of x cannot be negative. So we multiply the entire equation by -5 to clear the denominators.

-5(-\frac{3}{5}x+y=4)\\3x-5y=-20



3 0
2 years ago
F(x) = 2^x<br><br><br> what is the domain ?<br> range ? asymptote ? and transformation
erica [24]

y=2x

Step-by-step explanation:

I dont know what else there is sry

7 0
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