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3 years ago

Identify as a monomial, binomial, or trinomial. 2x^2+5x-8

Mathematics

2 answers:

swat323 years ago

6 0

Answer:

<h2>TRINOMIAL</h2>

Step-by-step explanation:

2x² + 5x - 8 there are no like terms

Three terms: 2x², 5x and (-8).

Therefore it's a trinomial.

Monomial:

x, 3, 3y, -9y² - one term

Binomial:

2 + a. xy + y³, 3x²y² - xy - two terms

Korvikt [17]3 years ago

3 0

Answer:

trinomial

Step-by-step explanation:

The expression is a trinomial because it consists of three terms (that's the definition of a trinomial. The three terms are: 2x^2, 5x, and -8.

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1.55y-(5y-17)/100=0.02

Musya8 [376]

Multiply both sides by 100
1.55y -(5y-17)/100 * (100) = (0.02)*(100)
1.55y -(5y-17) = 2

Simply both sides of the equation
-3.45y + 17 = 2

Subtract 17 from both sides
-3.45y + 17-17 = 2-17
-3.45y = -15

Divide both sides by -3.45.
-3.45y = -15
-3.45 -3.45

y = 4.347826

7 0

3 years ago

In a research lab, a cell biologist is growing a strain of bacteria under two different conditions. Culture A had an initial pop

zhannawk [14.2K]

Answer:

They will have the same population after 6 hours

Step-by-step explanation:

The general exponential equation format for this is;

P = P_o(e^(kt))

For Culture A, we are told that it had an initial population of 200 and doubles every hour.

Thus;

After 1 hour, P = 400

After 2 hours, P = 800

After 3 hours, P = 1600

Thus;

At t = 1, we have;

400 = 200(e^(k × 1))

400/200 = e^(k)

e^(k) = 2 - - - (eq 1)

At t = 2, we have;

800 = 200(e^(k × 2))

800/200 = e^(2k)

e^(2k) = 4 - - - (eq 2)

To find k, let's divide eq 1 by eq 2.

(e^(2k))/e^(k) = 4/2

e^(2k - k) = 2

e^(k) = 2

k = In 2

k = 0.6931

Thus;

P = 200e^(0.6931t)

For Culture B, we are told that it had an initial population of 819200 but has been contaminated. Its population is now decreasing by half every hour.

Thus;

After 1 hour, P = 409600

After 2 hours, P = 204800

After 3 hours, P = 102400

Thus;

At t = 1, we have;

409600 = 819200(e^(k × 1))

409600/819200 = e^(k)

e^(k) = 0.5 - - - (eq 1)

At t = 2, we have;

204800 = 819200(e^(k × 2))

204800/819200 = e^(2k)

e^(2k) = 0.25 - - - (eq 2)

To find k, let's divide eq 1 by eq 2.

(e^(2k))/e^(k) = 0.25/0.5

e^(k) = 0.5

k = In 0.5

k = -0.6931

Thus;

P = 819200(e^(-0.6931t))

We want to find the time when the 2 cultures will have the same population. Thus;

200e^(0.6931t) = 819200(e^(-0.6931t))

Arranging, we have;

(e^(0.6931t))/(e^(-0.6931t)) = 819200/200

e^(0.6931t - (-0.6931t) = 4096

e^(1.3862t) = 4096

1.3862t = In 4096

1.3862t = 8.3178

t = 8.3178/1.3862

t ≈ 6 hours

3 0

3 years ago

What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?

jenyasd209 [6]

Answer:

The volume of a rectangular prism is $28\frac{7}{8}\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

$V=BHL$

Convert the given dimensions to an improper fractions

$B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm$

$H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm$

$L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm$

substitute in the formula

$V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}$

Convert to mixed number

$\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}$

7 0

3 years ago

Which of the following shows the prime factorization of 200 using exponential notation?

Vilka [71]

Answer:

The prime factorization of 200 using exponential notation is $2^{3}\times 5^{2}$ .

Step-by-step explanation:

First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.

1) $\frac{200}{2} = 100$ (Even number)