What is y^4-36 in simplest factored form?

Answers

Answer 1

Answer: $y^4-36=(y^2)^2-6^2=(y^2-6)(y^2+6)=[y^2-(\sqrt6)^2](y^2+6)\n\n=(y-\sqrt6)(y+\sqrt6)(y^2+6)\n\n\n\n\na^2-b^2=(a-b)(a+b)$

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5x^2 - x + 9=?x=3needs to be simplified
Max spends three times as long on his math homework than he does on his science homework

HOW can you use bar diagrams to compare quantities in real-world situations

Answers

An example would be money! Money is a real life situation

Which number is the reciprocal of 1/6?A.- 1/6

B.0

C.6

D.12

Answers

$\hbox{reciprocal of } a=(1)/(a)\n a=(1)/(6)\n (1)/(a)=(1)/((1)/(6))=1\cdot6=6 \Rightarrow C$

reciprocal is where you flip the fraction so 1/6 becomes 6/1
C. 6

BEST GETS BRAINLIESTThe water height of a pool is determined by
8g^2 + 3g − 4, the rate that the pool is filled, and 9g^2 − 2g − 5, the rate that water leaves the pool, where g represents the number of gallons entering
or leaving the pool per minute.
a. Write an expression that determines the height of the water in the pool.
b. What will be the height of the water if g = 1, 2, 3, and 4?
c. To the nearest tenth, at which value for g will the water reach its
greatest height? Explain.

Answers

a) Water height, H(g) = 8g^2 + 3g -4 - [9g^2 -2g -5] = 8g^2 + 3g -4 -9g^2 + 2g +5 = -g^2 +5g +1

b) g = 1
H(g) = -(1)^2 + 5(1) + 1 = -1 + 5 + 1 = 5

g=2
H(g) = -(2)^2 + 5(2) + 1 = -4 + 10 + 1 = 7

g=3
H(g) = -(3)^2 + 5(3) + 1 = -9 +15 +1 = 5

c) Greatest height

Find the vertex of the parabole

The vertex is at the mid point between the two roots.

To find the roots you can use the quadratic equation

The result is g = 5/2 + [√29]/2 and g = 5/2 - [√29]/2

The middle poin is 5/2 = 2.5

Now find H(2.5) = -(2.5)^2 + 5(2.5) + 1 = 7.5 ≈ 7.3

15. Tell whether the lines for each pair of equations are parallel perpendicular or neither Y=-3x+7
-2x+6y=3
16. Tell whether the lines for each pair of equations are parallel perpendicular or neither
Y=-1/5x+6
-2x+10y= 5

Answers

Answer:

15. The lines are perpendicular.

16. The lines are neither perpendicular nor parallel.

Step-by-step explanation:

15. The given lines are

Y=-3x+7 & -2x+6y=3 or, 6y = 3 + 2x or, $y = 0.5 + (x)/(3)$ .

The slope of the first line is -3 and the slope of the second line is $(1)/(3)$ [Comparing with the standard form of equation of straight line y = mx + c, where m is the slope of the straight line].

Two straight lines will said to be perpendicular to each other, if the product of its slopes will be equal to -1.

Since, $-3 * (1)/(3) = -1$ , the equations are perpendicular with respect to each other.

16. The lines are $y = -(x)/(5) + 6$ and -2x + 10y = 5 or, 10y = 5 + 2x or, $y = 0.5 + (x)/(5)$ .

As per the question number 15, it is clear that these equations are not perpendicular.

Here, the slope of the first one is $(-1)/(5)$ and the slope of the second one is $(1)/(5)$ .

The values are same with different sign. Hence, these equations are not parallel too.

3 pens cost $15. What will 30 pens cost?

Answers

Answer=$150

3 30
___=_____
15 x

cross multiply
3x=450
divide both sides by 3
x=$150

If 3 pens cost $15, then we can assume that one pen is $5. If we have 30 pens, multiply $5 by 30 to get a total of $150.

The regular cost for parking downtown is $15 per vehicle. If it snows more than half a foot, the parking garage offers a$5 discount per vehicle. On Tuesday there are 15 centimeters of snow on the ground. What is the cost of parking 8 cars on
Tuesday?
1
B.
S15
C.
$80
D.
$120

Answers

Answer:

D. $120

Step-by-step explanation:

15 centimeters is les than half a foot, so you should just do $15 x 8 cars and get $120.

Answer:

Step-by-step explanation:

1/2 foot = 15.24cm

15x8=120

8x5=40

120-40=80

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