1answer.
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
Margarita [4]
2 years ago
15

For the function g defined by g(x)= 55 x +3x find g(−x),−g(x), and −g(−x).

Mathematics
1 answer:
astraxan [27]2 years ago
8 0

Answer:

g(-x)=-55x-3x\\-g(x)=-55x-3x\\-g(-x)=55x+3x\\hence\\g(x)=-g(-x)\\g(-x)=-g(x)

Step-by-step explanation:

g(-x)=55(-x)+3(-x)=-55x-3x \\\\-g(x)=-[55x+3x]=-55x-3x=g(-x)\\\\-g(-x)=-[-55x-3x]=55x+3x=g(x)

You might be interested in
A restaurant chain has two locations in a medium-sized town and, believing that it has oversaturated the market for its food, is
scoray [572]

Answer:

Yes, since the test statistic value is greater than the critical value.

Step-by-step explanation:

Data given and notation

\bar X_{1}=360000 represent the mean for the downtown restaurant

\bar X_{2}=340000 represent the mean for the freeway restaurant

s_{1}=50000 represent the sample standard deviation for downtown

s_{2}=40000 represent the sample standard deviation for the freeway

n_{1}=36 sample size for the downtown restaurant

n_{2}=36 sample size for the freeway restaurant

t would represent the statistic (variable of interest)

\alpha=0.05 significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the true mean of revenue for downtown is higher than for freeway restaurant, the system of hypothesis would be:

Null hypothesis:\mu_{1}\leq \mu_{2}

Alternative hypothesis:\mu_{1} > \mu_{2}

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Determine the critical value.

Based on the significance level\alpha=0.05 and \alpha/2=0.025 we can find the critical values from the t distribution dith degrees of freedom df=36+36-2=55+88-2=70, we are looking for values that accumulates 0.025 of the area on the right tail on the t distribution.

For this case the value is t_{1-\alpha/2}=1.66

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

t=\frac{360000-340000}{\sqrt{\frac{50000^2}{36}+\frac{40000^2}{36}}}}=1.874

What is the p-value for this hypothesis test?

Since is a right tailed test the p value would be:

p_v =P(t_{70}>1.874)=0.033

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean for the downtown revenue restaurant seems higher than the true mean revenue for the freeway restaurant.

The best option would be:

Yes, since the test statistic value is greater than the critical value.

5 0
3 years ago
Is this a complementary ,linear pair,vertical or adjacent?
vovangra [49]
Answer: Linear

Explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
6 0
3 years ago
Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80
zhannawk [14.2K]

Answer:

\sum ^{20} _{n \to \11} 4n

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80  = \sum ^{20} _{n \to \11} 4n

4 0
3 years ago
A glider flies 13 miles north from the airport and then 24 miles diagonally southeast. Approximately how far west does the glide
NISA [10]

Answer:

20.2 miles

Step-by-step explanation:

This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:

/hyp/^{2} = /adj1/^{2} + /adj2/^{2}

/24/^{2} = /x/^{2} + /13/^{2}

576 = x^{2} + 169

x^{2} = 576 - 169

   = 407

x = \sqrt{407}

  = 20.1742

x = 20.2 miles

The glider has to fly 20.2 miles to return to the airport.

8 0
2 years ago
Draw the graph of the linear equation 2 x - y =0
Mandarinka [93]

The answer is in the attachment!!!

3 0
3 years ago
Read 2 more answers
Other questions:
  • The willis Tower has a height of 1451 feet what is the estimated height of the building in meters?
    7·1 answer
  • What is 70% of 63 please answer my question
    9·2 answers
  • Find the slope of the line <br> y = 5/3x− 1
    6·2 answers
  • So my cousin sent me this saying that she needs help . I use to know how to do this but I forgot . Can anyone help me with this
    7·1 answer
  • The sum of three consecutive odd numbers is 39. What is the smallest of these numbers?
    11·1 answer
  • NEED HELP ASAP I WILL MARK YOU BRAINLIST
    5·1 answer
  • Is -5^2 equal to (-5)^2
    12·2 answers
  • An orange weighs 1/5 of a pound cut the orange into 8 slices. How much does each slice weigh?
    5·1 answer
  • What is the domain and range of this equation? Y= -1/4|x|+2
    7·1 answer
  • Review of Unit 6 Measurement:
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!