1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bess [88]
3 years ago
13

I actually don’t get this and I have a test in 2 days please help what is g(x) and how

Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0

first off, is noteworthy that's the graph of an exponential function, thus the function will be along the lines of g(x) = abˣ , now, what's "a" and "b" values?

well, let's take a peek when x = 0 and x = 1.

\bf g(x) = ab^x \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x = 0\\ y = 1 \end{cases}\implies 1=ab^0\implies 1=a(1)\implies \boxed{1=a} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x = 1\\ y = 4 \end{cases}\implies 4 = ab^1\implies 4=1b^1\implies \boxed{4=b} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill g(x) = 4^x\qquad \qquad \qquad \begin{array}{|c|c|ll} \cline{1-2} x&y\\ \cline{1-2} -2&\frac{1}{4^2}\to \frac{1}{16}\\ -1&\frac{1}{4}\\ 0&1\\ 1&4\\ 2&16\\ \cline{1-2} \end{array}~\hfill

You might be interested in
The length of a rectangle is 6 cm and its area is (6x+18) Square centimeters what is an expression for the width
Ludmilka [50]

Answer:

x+3

Step-by-step explanation:

(6x+18)/6

Simplify

x+3

7 0
3 years ago
The slope of the line below is -1/7.
KatRina [158]

Answer:

y = (-1/7)x + (24/7)

Step-by-step explanation:

The general structure of a line in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

You have been given the value of the slope (m = -1/7). You have also been given values for "x" and "y" from the point (3,3). Therefore, you can substitute these values in for their variables and simplify to find the value of the y-intercept.

y = mx + b                                    <----- Slope-intercept form

y = (-1/7)x + b                                <----- Plug -1/7 into "m"

3 = (-1/7)(3) + b                             <----- Plug in "x" and "y" values from point (3,3)

3 = -3/7 + b                                  <----- Multiply -1/7 and 3

24/7 = b                                      <----- Add 3/7 to both sides

Now that you know that m = -1/7 and b = 24/7, you can determine the formula satisfying the given information.

y = (-1/7)x + (24/7)

3 0
1 year ago
Steve is painting the ceiling of a room. the ceiling is in the shape of a rectangle. he has enough paint to cover 198 square fee
Katena32 [7]

Answer:

Width = 9ft.

Length=22ft.

Step-by-step explanation:

4 0
2 years ago
A point is a ______.
Ksju [112]
A point is a geometry figure named with lowercase letters (I'm pretty sure)
6 0
3 years ago
A line passes through the points (5, –7.5) and has a y-intercept of 10.
brilliants [131]

Answer:y=0.5x+10

Step-by-step explanation:

need help with explanation?

4 0
3 years ago
Other questions:
  • mary can buy 12 oranges at store A for $3.84 and 15 oranges for $5.00 at store B.Which store has the better unit cost?
    12·1 answer
  • The sum of two numbers is 18 and their difference is 8
    12·2 answers
  • 1.64÷ by what to = 0.00164
    12·1 answer
  • In the following triangle, find the values of the angles B and B, which are the best approximations to the solutions in this amb
    6·1 answer
  • When solving using the quadratic formula, what does the discriminant tell you about the nature of the roots?
    5·1 answer
  • A square number whose digits add up to seven.
    12·2 answers
  • How are you guys???????????????????????? ALSO WHATS 1 PLUS 1
    10·1 answer
  • HELP PLEASE I NEED THE ANSWER<br> find x
    6·1 answer
  • The dot plot shows the number of hours of daily driving time for 14 school bus drivers. Each dot represents a
    5·1 answer
  • Which of the following sets of sides does not form a right triangle?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!