Solve the system by graphing:

for the expression n(2n+4n^2-5-3n), use the distributive property to write an equivalent expression in standard form

Ronch [10]

$\text{distributive property:}\ a(b+c)=ab+ac\\\\2n+4n^2-5-3n=4n^2+(2n-3n)-5=4n^2-n-5\\\\n(2n+4n^2-5-3n)=n(4n^2-n-5)=(n)(4n^2)+(n)(-n)+(n)(-5)\\\\=\boxed{4n^3-n^2-5n}$

4 0

4 years ago

If second and third hypotheses were formulated for the relationship between temperature and the pressure of a gas and are tested

Elis [28]

Answer:

working hypothesis.

Step-by-step explanation:

Hypothesis is a technique in mathematics used to identify between two events. The event is tested for hypothesis using the null hypothesis and an alternative hypothesis is set to compare the results. If there are more than one hypothesis then there is working hypothesis technique used to identify the conclusion.

3 0

3 years ago

A bag contains 5 black, 3 green, 3 blue, and 4 yellow marbles. A marble is randomly drawn. Find P(not black). 4/15 1/5 1/3 2/3

QveST [7]

Answer:

2/3

Step-by-step explanation:

5 black

3 green (not black)

3 blue (not black)

4 yellow (not black)

there are 5 black and 10 not black out of a total of 15 marbles.

there are 10/15 that are not black. Reduced 2/3.

6 0

3 years ago

A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.

likoan [24]

Weight of an grapefruit=weight of an orange+8% weight of an orange
weight of an apple=weight of an orange -10% weight of an orange

a.By what percentage is the grapefruit heavier than the apple?
We should find the connection between grapefruit and an apple. We know the connection between the weight of a grapefruit and an orange, we know the connection between an orange and an apple, so this means we know the connection between a grapefruit and an apple.

weight of an grapefruit=weight of an orange+8% weight of an orange
weight of an orange=weight of an apple +10% weight of an apple

-> weight of an grapefruit=weight of an apple+10% weight of an apple + 8%(weight of an apple+10% weight of an apple)= weight of an apple + 18% weight of an apple + 2% weight of an apple= weight of an apple + 20% weight of an apple

b.By what percentage is the apple lighter than the grapefruit?
weight of an grapefruit=weight of an apple + 20% weight of an apple

-> The apple ts 20% lighter than the grapefruit.

8 0

3 years ago

Read 2 more answers

Brantley tosses a ball out of a window that is 60 ft in the air. Its initial velocity is 18 ft per second. The path of the ball

kow [346]

Answer:

2.58 seconds

Step-by-step explanation:

When you complete the square, you get ...

h = -16(t -9/16)^2 +60 +81/16

Then the solution for h=0 is ...

t = (x -9/16)^2 = 1041/256

t = (9 +√1041)/16 ≈ 2.57903 ≈ 2.58

It takes about 2.58 seconds for the ball to hit the ground.

7 0

3 years ago