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2 years ago

So in the equation b - 9 + 6b = 30,

1 answer:

3 0

B - 9 + 6b = 30
You need to add all the b's up on the left side of the equation first. So it rewrites like this:
7b - 9 = 30
next you add 9 to each side to get 7b alone on the left side.
7b = 39
now divide both sides by 7 so that b is all by itself.
b = 5 4/7 or 5.57

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How does the graph of the function g(x)=2^x-4 differ from the graph of f(x)=2^x

VARVARA [1.3K]

Answer:

The graph of g(x) is the graph of f(x) moved down 4 units.

Step-by-step explanation:

Subtracting a function by a constant:

Subtracting a function by a constant x is the same as moving the function down x units.

In this question:

$f(x) = 2^x$

$g(x) = 2^x - 4$

Thus, the graph of g(x) is the graph of f(x) moved down 4 units.

8 0

2 years ago

What is the point of maximum growth:

salantis [7]

f(h(x))= 2x -21

Step-by-step explanation:

f(x)= x^3 - 6

h(x)=\sqrt[3]{2x-15}

WE need to find f(h(x)), use composition of functions

Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6

cube and cube root will get cancelled

f(h(x))= 2x-15 -6= 2 x-21

wait i think i did the wrong one brb

7 0

3 years ago

Find the equation of the straight line that passes through the point (1,1/2) and has slope 1/2. Enter the equation in the point-

Nataliya [291]

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 1}}\quad ,&{{ \frac{1}{2}}})\quad 
% (c,d)

\end{array}
\\\quad \\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies\cfrac{1}{2}
\\ \quad \\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values}\\

\end{array}\\
\qquad \uparrow\\
\textit{point-slope form}$

5 0

3 years ago

Graph f(x)=-2x^2-12x-21

ELEN [110]

Step-by-step explanation:

First, find the vertex. The x coordinate is -b/2a, or 12/-4=-3. Plug this back in to get -18+36-21 or -3, so the vertex is (-3, -3). Now, slowly make the x -2, -1, 0, 1, on and on. Because parabolas are symmetric along the vertex, they will have the same values as -4, -5, -6, on and on.

5 0

2 years ago

The sum of two rational numbers is -8 1/4. if one of the numbers is -5 2/3, find the other number. im too lazy to do this

Nataly [62]

Answer:

Step-by-step explanation:

let : x and t this numbers : x +y = -81/4

y == -52/3

x + (-52/3) = -81/4

x = -81/4 + 52/3........continue

4 0

2 years ago