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2 years ago

Which could be the function graphed below?

Mathematics

2 answers:

stiv31 [10]2 years ago

3 0

The parent equation of the given graph is $y=\sqrt[n]{x}$

where, n is any even number.

When this function is vertically shifted ( vertical dilation) down in the y- axis,

we get a graph similar to the one given in the question.

For example: $y=\sqrt[2]{x}-2$

The graph of the above function is attached below.

Fed [463]2 years ago

3 0

Try this way:
$f(x)= \sqrt[n]{x} -a,$
where n - even number, a - const.
P.S. one example is in the attachment.

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A college admissions office uses the following linear equation to predict the grade point average of an incoming student: x = 0.

kramer

A college admissions office uses the following equation to predict the grade point average of an incoming student:

z = 0.003x + 0.8y − 4,

where z is the predicted college GPA on a scale of 0 to 4.3, and x is the sum of the student’s SAT Math and SAT Verbal on a scale of 400 to 1600, and y is the student’s high school GPA on a scale of 0 to 4.3. The college admits students whose predicted GPA is at least 2.3.

Will a student with SATs of 1050 and high school GPA of 3.0 be admitted

Answer:

A. No because Z = 1.55 which is less than the required predicted college gpa of 2.3 for admission.

Step-by-step explanation:

Z = 0.003x + 0.8y - 4

X = sat score

Y = high school gpa

Z = predicted college gpa

X =1050

Y = 3.0

Z = .003 *(1050) + 0.8*(3.0) -4

Z = 1.55 which is less than the required predicted college gpa of 2.3 for admission

5 0

2 years ago

lucas and erick are factoring the polynomial 12x3 – 6x2 8x – 4. lucas groups the polynomial (12x3 8x) (–6x2 – 4) to factor. eric

Maurinko [17]

Answer:

Both the students were correct.

Step-by-step explanation:

Given : The polynomial is - $12 x^3 - 6 x^2 + 8 x - 4$

To find : Who correctly grouped the terms to factor.

Lucas group the polynomial - $( 12 x^3 + 8 x ) + ( - 6 x^2 - 4 )$

Now, we solve the Lucas polynomial

$(12x^3+8x) + (-6x^2-4)= 4x(3x^2+2 )-2(3x^2+2)$

$(12x^3+8x) + (-6x^2-4)= (3x^2+2 )(4x-2)$

$(12x^3+8x) + (-6x^2-4)= 2(3x^2+2)(2x-1)$

Erick group the polynomial - $(12x^3-6x^2) + (8x- 4)$

Now, we solve the Erick polynomial

$(12x^3-6x^2) + (8x- 4)=6x^2(2x-1)+4(2x-1)$

$(12x^3-6x^2) + (8x- 4)=(6x^2+4)(2x-1)$

$(12x^3-6x^2) + (8x- 4)=2(3x^2+2)(2x-1)$

The factors of Lucas and Erick are same.

Each grouping leads to the same result.

Therefore, Both students are correct.

8 0

2 years ago

Read 2 more answers

A company that manufactures small canoes has a fixed cost of $ 18 comma 000$18,000. It costs $ 120$120 to produce each canoe. Th

Scilla [17]

If the company makes 1 canoe only, then the cost is, the fixed cost plus how much it costs for the 1 canoe, or
180,000 + 1*120

if it makes 2 canoes
180,000 + 2*120
3 canoes 180,000 + 3*120
4canoes 180,000 + 4*120
x canoes 180,000 + x*120

so... we dunno what "x" is, but whatever "x" maybe, the cost ends up as 180,000 + x*120, or 180,000 + 120x

now, let's see the revenue
1 canoe 1 * 240
2 canoes 2*240
3 canoes 3*240
x canoes x*240

so.. whatever "x" maybe, the Revenue is x*240 or 240x

break-even point is when, the amount of expenses and earnings cancel each other out, or, there's no profit, but there's no loss either, same amount that's spent is also earned back

so, the break-even point occurs when Revenue = Cost

180,000 + 120x = 240x <--- solve for "x"

4 0

2 years ago

A newsletter publisher believes that 55% of their readers own a Rolls Royce. Is there sufficient evidence at the 0.05 level to r

melomori [17]

Set up hypotheses:

The null hypotheses is that the proportion of readers who own a Rolls Royce is equal to 0.55

Null hypotheses = H₀: p = 0.55

The alternate hypotheses is that the proportion of readers who own a Rolls Royce is not equal to 0.55

Alternate hypotheses = H₁: p ≠ 0.55

Determine the type of test:

Since the alternate hypothesis states that the proportion of readers who own a Rolls Royce is different, therefore it is a two-tailed test.

Determine the level of significance and Critical Z-score:

Given level of significance = 0.05

Since it is a two-tailed test,

Z-score = 1.960 (two tailed)

Set up decision rule:

Since it is a two-tailed test, using a Z statistic at a significance level of 5%

We Reject H₀ if Z < -1.960 or Z > 1.960

We Reject H₀ if p ≤ α

Compute the test statistic:

The test statistic may be calculated using,

$Z = \frac{\hat{p} - p}{ \sqrt{\frac{p(1-p)}{n} }}$

We are not given enough information to find out the test statistic.

Conclusion:

We do not have enough information to accept or refuse the publisher's claim.

4 0

2 years ago

pogonyaev

Answer:

Step-by-step explanation:

24/4 = 6 so....

4*6 is 24 and 3*6 is 18

6 0

2 years ago

Read 2 more answers