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3 years ago

Find the domain of the function algebraically q(r)=3square root r^2 -16

1 answer:

4 0

Hello :
q(r)=3√(r²-16)
q exist : r² - 16 ≥ 0
r² ≥ 16
√r² ≥ √16
but : √16 = 4 and √r² = |r |
|r | ≥ 4
r ≤ 4 or r ≥ 4
the domain is : ] -∞, 4] ∪ [,4 , + ∞ [

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A turkey costs $1.05 per pound. There are going to be fifteen people at Thanksgiving dinner. Plan for each person to eat two, 3/

valina [46]

Answer:

I will need to buy 22.5 pounds of turkey and pay $23.63

Step-by-step explanation:

Proportions

Each person is planned to eat 2 x 3/8 pound servings of turkey for thanksgiving dinner. This means each person will eat

$2\cdot\frac{3}{4}=\frac{3}{2}$

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There are going to be 15 people at the dinner, thus the total turkey needed is:

$15\cdot\frac{3}{2}=22.5~pounds$

The turkey costs $1.05 per pound, thus the total cost is

22.5*$1.05 = $23.63

I will need to buy 22.5 pounds of turkey and pay $23.63

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3 years ago

A basketball shot is taken from a horizontal distance of 5m from the hoop. The height of the ball can be modelled by the relatio

olasank [31]

This is the concept of application of quadratic expressions. Given that the height of the ball is modeled by the equation;
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The time taken for the ball to hit the ground will be given as falls;
-7.3t^2+8.25t+7.1=0
to solve for t we use the quadratic formula;
t=[-b+/-sqrt(b^2-4ac)]/(2a)
a=-7.3, b=8.25, c=2.1
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3 years ago

A class of 28 students has 13 boys and 15 girls. What is the ratio of girls to boys in the class? 15:28 13:15 O 13:28 15:13 Prev

uranmaximum [27]

Answer: $\frac{15}{13}$

Step-by-step explanation:

Given

There are 28 students in a class out of which

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3 years ago

Q and R are independent events. if P(Q)= 1/4 and P (R)= 1/5, find P(Q and R)

Setler79 [48]

Answer:

1/4 * 1/5 = 1/20

3 0

3 years ago

Can someone please solve this problem for me?

statuscvo [17]

Answer:

5 and 7.

Step-by-step explanation:

Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:

*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.

$x *(x+2)=35$

Expanding, you get:

$x^{2}+2x = 35.$

And moving the 35 to the other side, you get a simple quadratic.

$x^{2}+2x -35 =0.$

Solving by factoring:

$(x+7)(x-5)$

This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).

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3 years ago