If you flip the graph of the exponential function f(x) = 2x over the x-axis, what

Suppose f is a continuous function on [-2, 2) such that

Leviafan [203]

Answer:

2. a and b only.

Step-by-step explanation:

We can check all of the given conditions to see which is true and which false.

a. f(c)=0 for some c in (-2,2).

According to the intermediate value theorem this must be true, since the extreme values of the function are f(-2)=1 and f(2)=-1, so according to the theorem, there must be one x-value for which f(x)=0 (middle value between the extreme values) if the function is continuous.

b. the graph of f(-x)+x crosses the x-axis on (-2,2)

Let's test this condition, we will substitute x for the given values on the interval so we get:

f(-(-2))+(-2)

f(2)-2

-1-1=-3 lower limit

f(-2)+2

1+2=3 higher limit

according to these results, the graph must cross the x-axis at some point so the graph can move from f(x)=-3 to f(x)=3, so this must be true.

c. f(c)<1 for all c in (-2,2)

even though this might be true for some x-values of of the interval, there are some other points where this might not be the case. You can find one of those situations when finding f(-2)=1, which is a positive value of f(c), so this must be false.

The final answer is then 2. a and b only.

4 0

3 years ago

if an ambulance is able to respond to a car accident located 5 miles away in 7 minutes, what is the speed of the ambulance in mi

loris [4]

Answer:

Step-by-step explanation:

7 0

3 years ago

The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5

miskamm [114]

Answer:

z=-3.25

$p_v =2*P(z$

Step-by-step explanation:

1) Data given and notation

$\bar X=5.24$ represent the mean production for the sample

$\sigma=0.32$ represent the sample standard deviation for the sample

$n=16$ sample size

$\mu_o =5.5$ represent the value that we want to test

$\alph=0.05a$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part a: State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean production is different from 5.5 tons, the system of hypothesis would be:

Null hypothesis: $\mu =5.5$

Alternative hypothesis: $\mu \neq 5.5$

If we analyze the info given we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{5.24-5.5}{\frac{0.32}{\sqrt{16}}}=-3.25$

P-value

Since this is a two side test the p value would be:

$p_v =2*P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the production its significant different compared to the desired percentage of SiO2 of 5.5 at 5% of signficance.

7 0

2 years ago

A child wants to fill up a box with snow he can only carry the box if it weighs under 30 pounds the dimensions of the box are 30

Korolek [52]

Answer:

I thought that all races were = I thought it was fine we all loved each other and that there were protests. That the black lives matter. if a police officer kills a white man bc the white man is a threat then no one cares but if a police man kills a black man bc a black man is a threat everyone protests. I thought we were = but then black people are out there saying there lives matter. They do but white lives matter too so do blue lives and green lives and purple lives. Everyone matters but if you say that apparently you get in trouble. All lives matter but instead people had to make a program titled black lives matter.

Also guys you can love a guy as a friend just not in a gay way. That is not okay you are getting confused I love my friend who is the same gender as me but I don't get my feelings confused. Can yall just be straight please.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Can someone solve this

Licemer1 [7]

Answer:

14w

Step-by-step explanation:

3 0

2 years ago