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2 years ago

Given the function f(x) = x2, which graph represents f(x + 4)?

Mathematics

1 answer:

levacccp [35]2 years ago

7 0

F(x) = x²
∴ f(x+4) = (x+4)²
to graph f(x+4) make a table between x and the f(x+4)
f(x+4) can be obtained from f(x) by shifting f(x) 4 units in the direction of (- x)

See the attached figure

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I need help on this problem in math

S_A_V [24]

Answer:

correct answer is C
Haley incorrectly applied the distributive property

Step-by-step explanation:

If you simplify the given equation, you find it matches choice C.

$\dfrac{1}{2}(6-x)+3x=\dfrac{1}{2}x-8\\\\3-\dfrac{1}{2}x+3x=\dfrac{1}{2}x-8\\\\3+\dfrac{5}{2}x=\dfrac{1}{2}x-8\qquad\text{matches choice C}$

Haley's error seems to be failing to distribute the 1/2 properly when she eliminated parentheses. Apparent, she incorrectly decided that ...

1/2(6 -x) ⇒ 3 -x . . . . instead of 3 -1/2x

Then when -x was added to +3x, she got 2x. Had she done it properly, she would have added -1/2x to +3x to get 5/2x.

_____

<em>Additional comment</em>

It is a common error to "distribute" the factor outside parentheses to the first term only, as Haley apparently did. Another common error is to fail to distribute minus signs properly. The distributive property requires you apply the outside factor to <em>all</em> of the terms inside parentheses.

5 0

1 year ago

In 4 hours, an experienced cook prepares enough pies to supply a local restaurant's daily order. Another cook prepares the sam

vodka [1.7K]

Answer:

$9\frac{1}{3}hours$

Step-by-step explanation:

Let third cook take x hours to prepare the same number of pies y alone

Let y be the number of pies

In 1 hour ,third cook prepare pies= $\frac{y}{x}$

One experienced cook takes time to prepare enough pies =4 hours

In 1 hour , cook prepare pies= $\frac{y}{4}$

Another cook takes time to prepare same number of pies =7 hours

In 1 hour , another cook prepare pies= $\frac{y}{7}$

All three cooks take time to prepare the same number of pies=2 hours

In 1 hour,all three cooks prepare pies= $\frac{y}{2}$

According to question

$\frac{y}{4}+\frac{y}{7}+\frac{y}{x}=\frac{y}{2}$

$y(\frac{1}{4}+\frac{1}{7}+\frac{1}{x})=\frac{y}{2}$

$\frac{1}{4}+\frac{1}{7}+\frac{1}{x}=\frac{1}{2}$

$\frac{1}{x}=\frac{1}{2}-\frac{1}{4}-\frac{1}{7}$

$\frac{1}{x}=\frac{14-7-4}{28}=\frac{3}{28}$

$x=\frac{28}{3}=9\frac{1}{3}$ hours

Hence, the third cook takes time to prepare the same number of pies alone= $9\frac{1}{3}hours$

8 0

2 years ago

How to find the rule for the nth term of a geometric sequence with changing common ratio?

ki77a [65]

Hmmm... a geometric sequence MUST have a fixed common ratio. If it is changing, then the sequence you are looking at might not be a geometric sequence at all. We'd need to see an example to be sure.

6 0

2 years ago

The two cones are congruent. Determine the unknown measures of the cones. A = units B = units C = units D = units

VikaD [51]

Answer:

3.1

4.2

5.2

Step-by-step explanation: Just copy the other cone and find half of the diameter to find the radius the cones are congruent.

6 0

3 years ago

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