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3 years ago

How do o solve both of these?? With work please!

Mathematics

1 answer:

Scilla [17]3 years ago

3 0

1. 3n^3+3n^2+5n+5
(3n^3+2n^2)+(5n+5)
3n^2(n+1)+5(n+1)
(n+1)(3n^2+5)
n+1=0 and 3n^2+5=0
so n=-1, sqrt(5/3)
2.2x^2+2x-4
2(x^2+x+2)
2(x-1)(x+2)
2(x-1)=0 and x+2=0
x=1 and x=-2

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Solve for x 3x+7=5x-13 a. -10 b. -3 c. 3 d. 10

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Answer:

D :D

Step-by-step explanation:

-2x+7=13

-2x=-20

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3 years ago

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A shopper paid $2.52 for 4.5 pounds of potatoes, $7.75 for 2.5 pounds of broccoli, and $2.45 for 2.5 pounds of pears. what is th

kobusy [5.1K]

Answer:

a) UNIT PRICE of potatoes is $0.56

b) UNIT PRICE of broccoli is $3.1

c) UNIT PRICE of broccoli is $0.98

Step-by-step explanation:

UNIT PRICE is defined as the price of 1 unit.

$\textrm{Unit Price} = \frac{\textrm{Total cost on n products}}{\textrm{n}}$

Now, here in the given question:

1. Cost of 4.5 pounds of potatoes is $2.52

So, the unit price of potatoes $= \frac{\textrm{2.52}}{\textrm{4.5}} = 0.56$

⇒ 1 pound of potatoes cost $0.56

Hence,UNIT PRICE of potatoes is $0.56

2 Cost of 2.5 pounds of broccoli is $7.75.

So, the cost of 1 pound of broccoli $= \frac{\textrm{7.75}}{\textrm{2.5}} = 3.1$

⇒ 1 pound of broccoli cost $3.1

Hence,UNIT PRICE of broccoli is $3.1

3. Cost of 2.5 pounds of pears is $2.45.

So, the cost of 1 pound of pears $= \frac{\textrm{2.45}}{\textrm{2.5}} = 0.98$

⇒ 1 pound of pears cost $0.98

Hence,UNIT PRICE of broccoli is $0.98

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3 years ago

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A tennis ball is launched from a catapult from the ground with an initial velocity of 26fps. What is the maximum height of the b

Lady bird [3.3K]

Answer:

10.5618feet, 0.8125sec

Step-by-step explanation:

Given the height reached by the catapult expressed by the equation H=-16T^2+26T

At the maximum height, the velocity of the object is zero, hence;

v = dh/dt = 0

-32t + 26 = 0

-32t = -26

t = 26/32

t = 0.8125secs

Hence it will attain the maximum height after 0.8125second

Substitute t = 0.8125s into the expression to get the maximum height

H=-16t^2+26t

H = -16(0.8125)^2 + 26(0.8125)

H = -16(0.6602) + 21.125

H = -10.5632+21.125

H = 10.5618

hence the maximum height reached by the ball is 10.5618feet

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3 years ago

The diameter of a sphere is 8 centimeters. What is the volume of the sphere? Use 3.14 for pi. Enter your answer, as a decimal, i

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The volume of a sphere is given by the equation $V= \frac{4}{3} \pi r^3$ , where r is the radius.

We are given the diameter of the sphere, but recall that the diameter is twice the radius: $d=2r$ . So the radius is half of the diameter: $r= \frac{1}{2}d$ .

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3 years ago

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Answer:

Each cookbook cost $15.15.

Step-by-step explanation:

Since the statement indicates that four cookbooks and one novel cost $68.75, you can write the following equation:

4x+y=68.75, where:

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y is the price of novels

Also, given that the novel cost 7 dollars less than a cookbook, you can write the following equation:

x=y+7

Now, you can replace x=y+7 in the first equation:

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x=8.15+7

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According to this, the answer is that each cookbook cost $15.15.

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3 years ago