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2 years ago

Write a power function whose graph passes through the given points

Mathematics

1 answer:

KonstantinChe [14]2 years ago

4 0

Y=(1.414)(1.46) to the power of x.

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Write a function g whose graph represents a reflection in the y-axis followed by a translation 3 units to the right of the graph

svp [43]

Answer:

$g(x) = |x - 3|$

Step-by-step explanation:

Given

$f(x) = |x|$

Required

Translate 3 units right

The result of a right translated function is:

$g(x) = f(x - h)$

Where h is the unit of translation

$h = 3$

$g(x) = f(x - 3)$

Solve for f(x - 3)

$f(x) = |x|$

$f(x - 3) = |x - 3|$

Hence;

$g(x) = |x - 3|$

6 0

2 years ago

Find the percent change. Original amount: 16 New amount: 11

marishachu [46]

The exact answer is 31.25%, or about 31%

8 0

2 years ago

Read 2 more answers

The population of bacteria can be modeled by the function below, where t represents the time since the population started decayi

Oksana_A [137]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. I will assume the function is:

$f(t) = 15(0.86)^t$

Required

Determine the rate of decay

In an exponential function $f(x) = ab^x$ ,

The decay rate of the function is calculated as:

$1 - r = b$

By comparison:

$b = 0.86$

So, the equation becomes:

$1 - r = 0.86$

Make r the subject

$r = 1 - 0.86$

$r = 0.14$

The rate of decay is 0.14

3 0

3 years ago

Kayla wants to find the width, AB, of a river. She walks along the edge of the river 65 ft and marks point C. Then she walks 25

AlladinOne [14]

Answer:

Part A) The triangles ABC and EDC are similar by AAA, because the three internal angles are equal in both triangles

Part B) The width of the river is about $39\ ft$

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

Part A) we know that

In this problem , triangles ABC and CDE are similar by AAA, because its corresponding angles are congruent

m<DCE=m<ACB -----> by vertical angles

m<EDC=m<ABC -----> is a right angle

m<DEC=m<CAB -----> the sum of the internal angles must be equal to 180 degrees

Part B) we know that

The triangles ABC and EDC are similar -------> see Part A

therefore

$\frac{BC}{DC}=\frac{AB}{DE}$

substitute the values and solve for AB

$\frac{65}{25}=\frac{AB}{15}$

$AB=15*(\frac{65}{25})=39\ ft$

8 0

2 years ago

30 PTS. + BRAINLIEST PLS HELP AZAP!!!

Papessa [141]

Answer:

C and E would be your Answer!

7 0

2 years ago