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LenaWriter [7]
3 years ago
5

Which exponential function goes through the points (1, 8) and (4, 64)?

Mathematics
1 answer:
Mama L [17]3 years ago
6 0
An exponential function can be expressed as:

y=ab^x  we have two points so we can solve

64/8=(ab^4)/(ab^1)

8=b^3

2=b, now we have:

y=a(2^x), using point (4,64)

64=a(2^4)

64=16a

4=a so

y=4(2^x)
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Add the equations to eliminate x.
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HELP HURRY PLEASE i dont understanddd
BigorU [14]

Answer:

see image

Step-by-step explanation:

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Question 2(Multiple Choice Worth 4 points) (08.02)A pair of equations is shown below. x + y = 5 y = one halfx + 2 If the two equ
8_murik_8 [283]

Answer:

(2,3)

Step-by-step explanation:

The first equation is  x+y=5

The second equation is y=\frac{1}{2}x+2

When we graph these two equations, <em>they will meet at a point which represent the solution of the two equations</em>.

We can solve the two equations simultaneously to determine their point of intersection.

Let us substitute the second equation into the first equation to get;

x+\frac{1}{2}x+2=5

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Group similar terms to obtain;

2x+x=10-4

Simplify;

3x=6

Divide both sides by 3;

\Rightarrow x=2

Put x=2 into the second equation;

y=\frac{1}{2}(2)+2

\Rightarrow y=1+2

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Therefore the graphs of the two functions intersect at (2,3)

See graph in attachment.

3 0
3 years ago
The tape diagram a way to model 5/8x11 what fraction
adelina 88 [10]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?
jarptica [38.1K]

Answer:

Option B is correct

Left 1 unit.

Explanation:

According to the graph theory of transformation:

y = f(x+k)=\left \{ {{k>0 shift graph of y= f(x) left k unit} \atop {k

Given the parent function: f(x)=x^2

and the function g(x)=x^2+2x+1

we can write it as:

g(x)= (x+1)^2   [ ∴(a+b)^2 = a^2+2ab+b^2 ]

Therefore, vertex of the graph of the function g(x)=(x+1)^2 is 1 units to the left of the vertex of the graph of the function f(x)=x^2 .




6 0
3 years ago
Read 2 more answers
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