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3 years ago

What are the like terms in the expression 3×+2+4y+5y

Mathematics

2 answers:

Kryger [21]3 years ago

7 0

Answer:

4y and 5y

Step-by-step explanation:

They both have Y which are like terms

marta [7]3 years ago

4 0

4y and 5y are the like terms because they both have y

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Please explain, thank you

RoseWind [281]

Answer:

C. 2.

Step-by-step explanation:

The graph descends from the left so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below. The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.

f(x) = a(x + 20)(x - 6.5)(x - 13) where a is a negative constant.

(This is only an approximation).

By the Remainder theorem, when the expression is divided by (x + 10):

f(-10) = -20 so we have

-20 = a (-10 + 20)(-10-6.5)(-10 - 13)

(10)(-16.5)(-23)a = -20

a = -20 / (10)(-16.5)(-23)

a = -0.0053

When the equation is divided by (x - 10) then f(10) is the remainder so substituting we have as the remainder:

-0.0053(10+20)(10-6.5)(10 -13)

-0.0053 * 30 * 3.5 * -3

= 1.7 approximately.

Looks like the answer is 2.

3 0

3 years ago

Cups of water fill 4 identical water bottles. How many cups fill each bottle?

Anna71 [15]

Answer:

.8 or 4/5ths cup

Step-by-step explanation:

divide number of bottles by cups

4 1/2 is 4.5

5 5/8 is 5.625

4.5/5.625 = .8 (or 4/5ths)

3 0

3 years ago

Please help... 12! - 9^3

Naily [24]

Answer:

-729

Step-by-step explanation:

$-9^3 = -9 x (-9) x (-9) =$

$-9x(-9) = 81$

$81x(-9)=-729$

4 0

4 years ago

Read 2 more answers

A 1.5-mm layer of paint is applied to one side of the following surface. Find the approximate volume of paint needed. Assume tha

Mariulka [41]

Answer:

V = 63π / 200 m^3

Step-by-step explanation:

Given:

- The function y = f(x) is revolved around the x-axis over the interval [1,6] to form a spherical surface:

y = √(42*x - x^2)

- The surface is coated with paint with uniform layer thickness t = 1.5 mm

Find:

The volume of paint needed

Solution:

- Let f be a non-negative function with a continuous first derivative on the interval [1,6]. The Area of surface generated when y = f(x) is revolved around x-axis over the interval [1,6] is:

$S = 2*\pi \int\limits^a_b { [f(x)*\sqrt{1 + f'(x)^2} }] \, dx$

- The derivative of the function f'(x) is as follows:

$f'(x) = \frac{21-x}{\sqrt{42x-x^2} }$

- The square of derivative of f(x) is:

$f'(x)^2 = \frac{(21-x)^2}{42x-x^2 }$

- Now use the surface area formula:

$S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2} *\sqrt{1 + \frac{(21-x)^2}{42x-x^2 } }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2+(21-x)^2} }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2+441-42x+x^2} }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{441} }] \, dx\\S = 2*\pi \int\limits^6_1 { 21} \, dx\\\\S = 42*\pi \int\limits^6_1 { dx} \,\\\\S = 42*\pi [ 6 - 1 ]\\\\S = 42*5*\pi \\\\S = 210\pi$

- The Volume of the pain coating is:

V = S*t

V = 210*π*3/2000

V = 63π / 200 m^3

8 0

3 years ago

Read 2 more answers

What is the surface of the prism?

jasenka [17]

Given :-

Length :- 8m
Width :- 10
Height :- 10m

To find :-

Surface area

Solution :-

formula for Surface Area = 2(LW + WH + HL)

putting the known values,

Surface Area = 2(8×10 + 10×10 + 10×8) m²

Surface Area = 2(260) m²

Surface Area = 520m² ( Option C)

4 0

2 years ago