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2 years ago

Which equations have a lower unit rate than the rate represented in this table?

Mathematics

2 answers:

Vitek1552 [10]2 years ago

8 0

Answer:

A and D

Find the unit rate of the data in the table:

y = kx

2 = 6k

k = 2/6

k = 1/3

The equation is:

y = 1/3x

Compare this with the others:

A. 3/11 < 1/3 = 3/9 ⇒ yes

B. 2/5 > 1/3 = 2/6 ⇒ no

C. 9/23 > 1/3 = 9/27 ⇒ no

D. 4/13 < 1/3 = 4/12 ⇒ yes

E. 3/8 > 1/3 = 3/9 ⇒ no

Step-by-step explanation:

grandymaker [24]2 years ago

7 0

Answer:

A and D

Step-by-step explanation:

Find the unit rate of the data in the table:

y = kx
2 = 6k
k = 2/6
k = 1/3

The equation is:

y = 1/3x

Compare this with the others:

A. 3/11 < 1/3 = 3/9 ⇒ yes
B. 2/5 > 1/3 = 2/6 ⇒ no
C. 9/23 > 1/3 = 9/27 ⇒ no
D. 4/13 < 1/3 = 4/12 ⇒ yes
E. 3/8 > 1/3 = 3/9 ⇒ no

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geniusboy [140]

Answer:

f(x) = 6x² - 24x + 21

Step-by-step explanation:

The equation of a quadratic function in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (2, - 3 ) , then

f(x) = a(x - 2)² - 3

To find a substitute (1, 3 ) into the equation

3 = 1(1 - 2)² - 3

3 = a(- 1)² - 3

3 = a - 3 ( add 3 to both sides )

6 = a

f(x) = 6(x - 2)² - 3 ← in vertex form

= 6(x² - 4x + 4) - 3

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2 years ago

A one-parameter family of solutions of the de p' = p(1 − p) is given below.

tensa zangetsu [6.8K]

Answer:

A solution curve pass through the point (0,4) when $c_{1} = -\frac{4}{3}$ .

There is not a solution curve passing through the point(0,1).

Step-by-step explanation:

We have the following solution:

$P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}$

Does any solution curve pass through the point (0, 4)?

We have to see if P = 4 when t = 0.

$P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}$

$4 = \frac{c_{1}}{1 + c_{1}}$

$4 + 4c_{1} = c_{1}$

$c_{1} = -\frac{4}{3}$

A solution curve pass through the point (0,4) when $c_{1} = -\frac{4}{3}$ .

Through the point (0, 1)?

Same thing as above

$P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}$

$1 = \frac{c_{1}}{1 + c_{1}}$

$1 + c_{1} = c_{1}$

$0c_{1} = 1$

No solution.

So there is not a solution curve passing through the point(0,1).

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3 years ago

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Answer:

13 u²

Step-by-step explanation:

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2 years ago

*PLS HELP!!* {The Picture Is In The Attachment}

mash [69]

Answer:

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Step-by-step explanation:

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6 0

2 years ago

Fareed wants to add 1/4 +5/8 Add the fractions by using the giant one to create a common denominator

saul85 [17]

Hi!

This question is about math.

$\frac{1}{4}+\frac{5}{8}$

Least Common Factor 4 or 8: 8

Factors of 4 : 1, 2, 4 (prime factorization) (2*2)

Factors of 8: 1, 2, 4, 8 (prime factorization) (2*2*2)

Least Common Factor of a,b is the smallest positive number that divisible by both a and b.

Multiply each factor the greatest number of times it occurs in either 4 or 8.

Then multiply by the numbers.

$2*2*2$

$=8$

Multiply each numerator by the same amount needed to multiply its corresponding denominator to turn it into the Least Common Factor of 8.

For 1/4 multiply the denominator and numerator by the 2.

$\frac{1}{4}=\frac{1*2}{4*2}=\frac{2}{8}$

$\frac{2}{8}+\frac{5}{8}$

Since the denominator are equal, combine the fractions.

$\frac{2+5}{8}$

Add the numbers 2+5=7

$=\frac{7}{8}$

Hope this helps! Thank you for posting your question at here on Brainly. Have a great day.

-Charlie

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3 years ago