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2 years ago

The graph of g(x) is the result of translating the graph of f(x) (1\2)x = three units to the left. What is the equation of g(x)?

Mathematics

1 answer:

tangare [24]2 years ago

4 0

The equation $f(x)= \frac{1}{2}x$ is plotted on graph below (red line)

Translating $f(x)$ three units to the left can be done by choosing any coordinates on $f(x)$ .

Let choose (0,0) and (2,1)
Translating 3 units on to the left gives the new coordinates (0-3, 0)=(-3,0) and (2-3, 1)=(-1, 1)

The gradient of the two functions will stay the same since the lines are parallel to each other, so m = 0.5

By joining the two coordinates (-3,0) and (-1,1), we see that the translated line crosses y-axis at 1.5

The equation of translated line is given
$g(x)=0.5(x-(-3))$
$g(x)=0.5(x+3)$
$g(x)=0.5x+1.5$

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Step2247 [10]

Sally = 1/3
Jerry = 5/6
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So, the biggest fraction among them is 5/6.

Jerry has completed the most work time.

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2 years ago

Josiah has a 20% experimental probability of hitting the snooze button any morning when his alarm goes off. When he hits the sno

Citrus2011 [14]

Answer:

6 times

Step-by-step explanation:

There are two events here:

1. Probability to hit snooze button= P(A) = 20%. Also mean P(A') = 80%

2. The probability to miss the bus= B

If Josiah hits the snooze button (A is happen), he misses the bus(B) 25% of the time. It mean P(B | A) = 25%

If Josiah doesn't hit the snooze button (A didn't happen), he won't miss the bus. It mean P (B | A') = 0%

If alarm woke Josiah 120 times , expected times that Josiah miss the bus will be:

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2 years ago

Verbal expression for c+2d

garik1379 [7]

Answer:

see below

Explanation:

There are many ways of writing a verbal expression for the given algebraic expression.

Some examples are:

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8 0

2 years ago

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The solutions to a quadratic equation are x = 2 and x = 7. If k is a nonzero constant, which of the following must be equal to t

Serggg [28]

ANSWER

The correct option is,
$k(x - 2)(x - 7) = 0$

EXPLANATION

We were given that the solutions of the quadratic equation are
$x = 2$
and
$x = 7.$

This tells us that,

$x - 2$

and
$x - 7$

are factors of the quadratic equation.

This implies that the quadratic equation is of the form,

$(x - 2)(x - 7) = 0$

We were also told that

$k$

is a non zero constant.

This means that we can use k to multiply the whole equation and the solution will not be affected.

Our equation now becomes,

$k(x - 2)(x - 7) = 0$

Hence the correct answer is A.

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2 years ago

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VikaD [51]

It looks like you're given

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