Claire thinks that if she draws a parallelogram with 2 congruent sides, it must be a rhombus. Jacob thinks that she

Oxana [17]

<h3>Answer: Choice A</h3>

Domain: x > 4
Range: y > 0

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Explanation:

We want to avoid having a negative number under the square root. Solving $x-4 \ge 0$ leads to $x \ge 4$

So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.

So in reality, the domain is x > 4.

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The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.

We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression $\frac{3}{\sqrt{x-4}}$ is positive because positive/positive = positive.

Therefore, the range of the given equation is y > 0

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The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).

3 0

2 years ago

Read 2 more answers

Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33

Zina [86]

Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

$y =-3x^2 + 12x - 33$

Required

The true statement about the extreme value

First, write out the leading coefficient

$Leading = -3$

$-3 < 0$ means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

$x = -\frac{b}{2a}$

Where:

$a= -3; b =12; c =-33$

So, we have:

$x = -\frac{12}{2 * -3}$

$x = -\frac{12}{-6}$

$x =2$

Substitute $x =2$ in $y =-3x^2 + 12x - 33$

$y = -3*2^2 + 12 * 2 - 33$

$y = -21$

<em>Hence, the maximum is -21.</em>

8 0

2 years ago

David surveyed students to find out which school sport they participated in. Below are the results from the first ten people he

Greeley [361]

Answer:

B.Line graph

Step-by-step explanation:

it is the best way to display the data of how many students perfer which sport

3 1

3 years ago

A rectangular garden has a width that is 10 feet shorter than the length. Write and simplify an expression to represent the area

morpeh [17]

Answer:

x²-10x=area

Step-by-step explanation:

Area= length×width

Length: x

Width: x-10

Area= x(x-10)= x²-10x

I hope this helps...

:)

6 0

3 years ago

A company sells boxes of duck calls (d) for $35 and boxes of turkey calls (t) for $45. they make batches of duck calls that fill

SIZIF [17.4K]

Answer:

Option A is the correct choice.

Step-by-step explanation:

Let d be the number of boxes of duck calls and t be the number of boxes of turkey calls.

We have been given that a company sells boxes of duck calls for $35 and boxes of turkey calls (t) for $45, so the revenue earned from selling d boxes of duck and t boxes of turkey call will be 35d and 45t respectively.

Further, the company plan to make $300. We can represent this information as:

$35d+45t=300...(1)$

We are also told that they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. We can represent this information as:

$6d+8t=42...(2)$

$6d=42-8t...(2)$

Therefore, our desired system of equation will be:

$35d+45t=300...(1)$

$6d=42-8t...(2)$

8 0

2 years ago