Which expressions are perfect square trinomials? Check all that apply. A. x2 + 16x + 8
B. x2 + 14x + 49
C. x2 – 5x + 25
D. x2 – 24x + 144
E. x2 + 9x – 81

Answers

Answer 1
Answer: perfect square trinomials are in the form
ax^2+bx+c such that
a=1
(b/2)^2=c

check each
all of them have 1 in front so skipt that step

A. (16/2)^2=8? false so no
B. (14/2)^2=49? true, this is
C. (-5/2)^2=25? false, this is not
D. (-24/2)^2=144? true, this is
E. (-9/2)^2=-81? false (easy way is that x^2 is never equal to a negative unless it is complex

B and D are answers

Answer 2
Answer: A. Doesn't work
B. (x + 7)(x + 7) = Works
C. Doesn't work
D. (x - 12)(x - 12) = Works
E. Doesn't work 

Therefore the answers are B and D 
The other don't work because they do not become perfect squares. 

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On a certain day, the company took 92 people on whale watching trips. There were 40 children aged 12 and under, of which some children were under three years. If x represents the number of children under three years, which equation can be used to find the value of x, where C represents the total amount of money collected from tickets that day? (92 − x)36 + (92 − 40) ⋅ 48 = C
(40 + x)36 + (92 − (40 + x)) ⋅ 48 = C
(92 + x)36 + (92 − (40 + x)) ⋅ 48 = C
(40 − x)36 + (92 − 40) ⋅ 48 = C

Answers

If x represents the number of children under three years, which equation can be used to find the value of x, where C represents the total amount of money collected from tickets that day is (40 + x)36 + (92 − (40 + x)) ⋅ 48 = C 

Answer:

(40 + x)36 + (92 − (40 + x)) ⋅ 48 = C

Step-by-step explanation:

Simplify. Express using exponents. 5^9x5^3

Answers

Answer:add the exponets

Step-by-step explanation:

Solve for x in this equation log9 1/3=x

Answers

The work is shown in the attachment 

Kari and Julie are practicing for basketball tryouts. Kari makes 3 less than twice as many baskets as Julie. Write an expression with two terms for the number of baskets that Kari makes. Explain how you found your expression

Answers

Answer:

X= 2y - 3

Step-by-step explanation:

Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3

Julie makes y tryouts and twice would be 2y.

1) Which line has a negative slope?2) Which line has a slope of zero

3) Which line has a y- intercept at (0, -2) ?

4) Which line has a slope of 1/2

5) Which line is the graph of the equation y = 3x

6) Which line is the graph of the equation y = x + 3?

Answers

1.line a
2.line c
3.line c
4.line b
5.line d
6.line a

Answer:

C has a slope of zero

B has slope 1/2

The area of a circle of radius r is given by A=\pi r^2A=πr 2 and its circumference is given by C=2\pi rC=2πr. At a certain point in time, the radius of the circle is r=8r=8 inches and the area of the circle is changing at a rate of \frac{dY}{dt}=\pi\sqrt{2} dt dA ​ =π 2 ​ square inches per second. How fast is the radius of the circle changing at this time

Answers

Answer:

Step-by-step explanation:

If I'm understanding this correctly, your problem is as follows:

The area of a circle is given by the formula

A=\pi r^2

The area of the circle is changing at a rate of (dA)/(dt)=√(2)\pi.  Find the rate of change of the radius, (dr)/(dt) , when r = 8.

Assuming that is what you are asking, we will begin by finding the derivative of the area of a circle using implicit differentiation.

(dA)/(dt)=\pi2r(dr)/(dt)

Filling in what we have:

√(2)\pi=\pi(2)(8)(dr)/(dt) which simplifies a bit to

√(2)\pi=16\pi(dr)/(dt)

Divide both sides by 16π to get:

(√(2)\pi )/(16\pi)=(dr)/(dt)

The π's cancel leaving the rate of change of the radius as

(dr)/(dt)=.0883883476 inches per second