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3 years ago

Which graph correctly solves the system of equations below? y = − x2 + 1 y = x2 − 4

2 answers:

6 0

They are parllel to each other so they would be a parallel graph Hope this helps and Make sure to give a 5 star rating and a big old THANKS!

Anuta_ua [19.1K]3 years ago

5 0

Answer:

if you put the two equations into a website i use and click solve then show graph you get the graph of answer c .

Step-by-step explanation:

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In speed skating, the distance of 10,000 meters consists of 25 laps. A skater sets the

xxMikexx [17]

Answer:

B) -0.4 seconds

Step-by-step explanation:

Laps: 25

Goal: -10 seconds to all 25 laps combined (10 seconds difference => -10)

divide by total laps

-10 /25 = -0.4s difference each lap

6 0

3 years ago

There are 24 hours in a day and scientists tell us that we should sleep for 3/8 of the day how much time should we spend sleepin

Katyanochek1 [597]

Answer:

Step-by-step explanation:

3/8 × 24

= 3 × 3

= 9

9 Hours

3 0

3 years ago

The width of a container is 5 feet less than its height. Its length is 1 foot longer than its height. The volume of the containe

juin [17]

The height of container is 8 feet

Solution:

Let "w" be the width of container

Let "l" be the length of container

Let "h" be the height of container

The width of a container is 5 feet less than its height

Therefore,

width = height - 5

w = h - 5 ------ eqn 1

Its length is 1 foot longer than its height

length = 1 + height

l = 1 + h ---------- eqn 2

The volume of container is given as:

$v = length \times width \times height$

Given that volume of the container is 216 cubic feet

$216 = l \times w \times h$

Substitute eqn 1 and eqn 2 in above formula

$216 = (1 + h) \times (h-5) \times h\\\\216 = (h+h^2)(h-5)\\\\216 = h^2-5h+h^3-5h^2\\\\216 = h^3-4h^2-5h\\\\h^3-4h^2-5h-216 = 0$

Solve by factoring

$(h-8)(h^2+4h+27) = 0$

Use the zero factor principle

If ab = 0 then a = 0 or b = 0 ( or both a = 0 and b = 0)

Therefore,

$h - 8 = 0\\\\h = 8$

Also,

$h^2+4h+27 = 0$

Solve by quadratic equation formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$\mathrm{For\:} a=1,\:b=4,\:c=27:\quad h=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \:27}}{2\cdot \:1}$

$h = \frac{-4+\sqrt{4^2-4\cdot \:1\cdot \:27}}{2}=\frac{-4+\sqrt{92}i}{2}$

Therefore, on solving we get,

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

Thus solutions of "h" are:

h = 8

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

"h" cannot be a imaginary value

Thus the solution is h = 8

Thus the height of container is 8 feet

8 0

3 years ago

How do you make a equation with 2/3 X3

Marrrta [24]

Do you mean (2/3) times 3X or is x a multiplication symbol

8 0

3 years ago

Suppose you are walking home after school. The distance from your home to school is 5 km. on foot, you can get home in 1/2 mins.

Sholpan [36]

Answer:

speed is distance over time.so you convert 1/2 to hours then solve

Step-by-step explanation:

hope it helped

7 0

3 years ago