answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Snowcat [4.5K]
2 years ago
7

Ryan is trying to determine whether 2.7x – 5.9 is equivalent to 2.8x – 5.9. To test this, he substitutes 0 for x into both expre

ssions. Explain why this will not give him the correct answer.
Mathematics
2 answers:
torisob [31]2 years ago
7 0
Because 2.7*0 = 0  and 2.8*0 = 0

He needs to plug in some other value like x = 1
Bogdan [553]2 years ago
7 0
Each of the 2 expressions given is a linear function of the form y = mx + b.
These two fundtions have the same y-intercept:  -5.9, but the slopes of the two lines are different.  In both cases, f(0) = 0 - 5.9, but this does not indicate that 2.7x-5.9 = 2.8x-5.9 in general.

If Ryan were to subst. 1 for x in these two functions, the results would not be identical:  2.7(1) - 5.9 and 2.8(1) - 5.9.

Hope Ryan comes to realize that this test of his will not give him the correct answer.

You might be interested in
G(x)= -\dfrac{x^2}{4} + 7g(x)=− 4 x 2 ​ +7g, left parenthesis, x, right parenthesis, equals, minus, start fraction, x, squared,
RUDIKE [14]

Answer:

<h2>-1/2</h2>

Step-by-step explanation:

Given the function G(x)= -\dfrac{x^2}{4} + 7, the average rate of change of g(x) over the interval [-2,4], is expressed as shown below;

Rate of change of the function is expressed as g(b)-g(a)/b-a

where a - -2 and b = 4

G(4)= -\dfrac{4^2}{4} + 7\\G(4)= -\dfrac{16}{4} + 7\\G(4)= -4 + 7\\G(4) = 3\\

G(-2) = -\dfrac{(-2)^2}{4} + 7\\G(-2)= -\dfrac{4}{4} + 7\\G(-2)= -1 + 7\\G(-2)= 6

average rate of change of g(x) over the interval [-2,4] will be;

g'(x) = \frac{g(4)-g(-2)}{4-(-2)}\\ g'(x) = \frac{3-6}{6}\\\\g'(x) = -3/6\\g'(x) = -1/2

6 0
2 years ago
$36 for 4 baseball hats; $56 for 7 baseball hats are they equivalent
Arlecino [84]
36/4 = 9 per hat
56/7 = 8 per hat

no, they are not equivalent
5 0
2 years ago
Find the value of the geometric series<br>1000 + 1000(1.03) + 1000(1.03)2 + . . . + 1000(1.03)9​
valentinak56 [21]

Answer:

\boxed{\sf \ \ \ 11,464 \ \ \ }

Step-by-step explanation:

hello

we need to compute the following

\sum\limits^9_{i=0} {1000(1.03)^i}=1000\dfrac{1.03^{10}-1}{1.03-1}=11463.879...

hope this helps

4 0
2 years ago
A study is being conducted in which the health of two independent groups of ten policyholders is being monitored over a one-year
uysha [10]

Answer:

46.91% probability that at least nine participants complete the study in one of the two groups, but not in both groups

Step-by-step explanation:

We use two binomial trials to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability of at least nine participants finishing the study in a group.

0.2 probability of a students dropping out. So 1 - 0.2 = 0.8 probability of a student finishing the study. This means that p = 0.8.

10 students, so n = 10

We have to find:

P(X \geq 9) = P(X = 9) + P(X = 10)

Then

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{10,9}.(0.8)^{9}.(0.2)^{1} = 0.2684

P(X = 10) = C_{10,10}.(0.8)^{10}.(0.2)^{0} = 0.1074

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.2684 + 0.1074 = 0.3758

0.3758 probability that at least nine participants complete the study in a group.

Calculate the probability that at least nine participants complete the study in one of the two groups, but not in both groups?

0.3758 probability that at least nine participants complete the study in a group. This means that p = 0.3758

Two groups, so n = 2

We have to find P(X = 1).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,1}.(0.3758)^{1}.(0.6242)^{1} = 0.4691

46.91% probability that at least nine participants complete the study in one of the two groups, but not in both groups

5 0
2 years ago
Read 2 more answers
when 1580 is divided into 13 equal parts, the remainder is 7. What is the correct way to write the quotient
Alisiya [41]

_121_ R7 or 121 7/13
13)1580
13
28
26
20
13
7
5 0
2 years ago
Read 2 more answers
Other questions:
  • Which of the graphs below represent the function f(x) = − x3 + 4x2 − x + 3? You may sketch the graph to compare.
    12·2 answers
  • An Olympian swam the 200-meter freestyle at a speed of 1.8 meters per second. An Olympic runner ran the 200-meter dash in 21.3 s
    5·2 answers
  • Alex and Leandro purchase two matinee movie tickets . A matinee ticket costs $6.50, a drink costs $5.50,and a bag of popcorn cos
    6·1 answer
  • The masses of the oranges on sale at a farm stand are normally distributed with a mean of 239 grams and a standard deviation of
    11·1 answer
  • What is the slope of the line that passes through the points (-4, 6) and (2, 4)?
    12·2 answers
  • Henry bought a new car for $24,000.He made a down payment of 20% and financed the balance for 10% with 24 equal monthly payments
    11·2 answers
  • There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 m
    13·1 answer
  • Cory can eat 21 boiled eggs in 6 minutes. He wants to know how many minutes (m) it would take him to eat 35 boiled eggs if he ca
    9·1 answer
  • George bought a house for $210,000 and now it has increased in value by 8% how much more is the house worth?
    11·1 answer
  • Algebra 1 ) U. Checkpoint: Systems of equations and inequalities LOW
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!