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MissTica
3 years ago
5

The graph of f(x) shown below has the same shape as the graph of g (x) = x^2 but it is shifted to the left 2 units. what is the

equation?

Mathematics
1 answer:
mariarad [96]3 years ago
8 0

Answer:

  C.  F(x) = (x+2)²

Step-by-step explanation:

A horizontal shift to the right by "h" units is achieved by replacing x with (x-h). The shift we want is to the left by 2 units, so h = -2, and we have ...

  f(x) = g(x -(-2)) = g(x+2)

  f(x) = (x+2)²

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Simplify each ratio to lowest terms.
Vikki [24]

Answer:

This is your work so i cant do it but I can give you a hint divide both the numerator and deomonator to get simplified form

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135°
nirvana33 [79]

Answer:

z=\frac{133-135}{\frac{3.3}{\sqrt{32}}}=-3.428      

p_v =P(z  

If we compare the p value and the significance level given for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense      

Step-by-step explanation:

Data given and notation      

\bar X=133 represent the sample mean

\sigma=3.3 represent the standard deviation for the population      

n=32 sample size      

\mu_o =135 represent the value that we want to test    

\alpha 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)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the true mena is at least 135, the system of hypothesis would be:      

Null hypothesis:\mu \geq 135      

Alternative hypothesis:\mu < 135      

We know the population deviation, so for this case 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{\sigma}{\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{133-135}{\frac{3.3}{\sqrt{32}}}=-3.428      

Calculate the P-value      

Since is a one-side lower test the p value would be:      

p_v =P(z  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense      

3 0
3 years ago
in a party,there is 40 percent more males than females.there are 475 males and females altogether.how many males were at the par
Phantasy [73]

The ratio of males to females is 1.4 : 1, so the fraction of the total that is made up of males is 1.4/(1.4 + 1) = 1.4/2.4 = 7/12.


There were (7/12)*475 ≈ 277 males at the party.

There were 475 - 277 = 198 females at the party.

7 0
3 years ago
I will give brainliest to simplest explanation! There are 2 Senators from each of 50 states. We wish to make a 3-Senator committ
Alika [10]

Answer:

117,600 ways

Step-by-step explanation:

This problem can be solved using fundamental principle of counting , according to which , if there are m different things and n different things,

then there m*n ways to combine.

Example: if there 5 shirts and 3 ties,

then number of ways in which different combination shirt and tie can be worn is

5*3 = 15 ways.

____________________________________

In the problem,\

number of states is 50,

let those states be

A1, A2, A3, A4 ......A50

in each state there are 2 senate

Condition

3-Senator committee in which no two members are from the same state.

then

first member can be chosen from any of the 50 state,

hence first member can be chosen in 50 ways

for simplicity lets take state A1, you can choose any one you wish

second member cannot be from state A1, then number of state left = 49

second member can be chosen from  any of 49 state left

hence second member can be chosen in 49 ways

for simplicity lets take state A2,

Third member cannot be from state A1 and A2, then number of state left = 48

Third member can be chosen from  any of 48 state left

hence Third member can be chosen in 48 ways

for simplicity lets take state A3,

Hence no. of ways of choosing  3-Senator committee be formed such that no two Senators are from the same state = 50*49*48 = 117,600 ways

8 0
4 years ago
Polynomial add or subtract (-2x^2-4x+13)+(12x^2+2x-25)
BigorU [14]

1.Simplify.

-2{x}^{2}-4x+13+12{x}^{2}+2x-25−2x2−4x+13+12x2+2x−25

2.Collect like terms.

(-2{x}^{2}+12{x}^{2})+(-4x+2x)+(13-25)(−2x2+12x2)+(−4x+2x)+(13−25)

3.Simplify.

10{x}^{2}-2x-1210x2−2x−12

6 0
3 years ago
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