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Anvisha [2.4K]
3 years ago
8

The axis of symmetry for a function in the form f(x) = x^2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the gra

ph?
(−9, −2)

(−17, −2)

(−2, −17)

(−2, −9)
Mathematics
2 answers:
drek231 [11]3 years ago
8 0
Hello,

If x=-2 f(-2)=(-2)²+4*(-2)-5= 4-8-5=-9

vertex is  (-2,-9)

taurus [48]3 years ago
6 0

Answer:

(-2,-9) or d

Step-by-step explanation:

You can check on desmos plus I got it right on the test

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please ingore wirthing im struggleing and thats all that is but i need help i didnt catch range and i cant figure it out
dimulka [17.4K]

Hello from MrBillDoesMath!


Answer:    

       Domain restriction:  -3  <= x <= 0

       Range restriction:    -4 <= y <= 0

Discussion

These numbers came directly from the graph. I am assuming the endpoints such as x = -3 are included in the domain.

Regards, MrB

6 0
2 years ago
Helpppppp please !!?
ch4aika [34]
Please refer to my image where it shows my work as I’m explaining.

Okay, for system 1:

1. I am using the elimination method to solve. So I check if all the terms are lined up and if any are the same. I found that 2X are common in both equations.

2. The goal is to “eliminate” the term hence the name. So I can choose to add or subtract. I chose subtraction because 2 - 2 equals 0 which is our goal. Solve for the rest of the terms. This will lead to getting y =4. Refer to image for the work.

3. Last step to to find the X value. We do this by picking any of the given equations,then substitute y with 4 and solve to eventually get x = 10. Refer to image for the work.

FOR SYSTEM 2:

1. Again, I am using the elimination method to solve. I noticed that NONE of the terms are in common so I will have to intervene. You can chose any term to create a match with but I chose Y since it was the one I could use the smallest number to multiply with. When multiplying, DONT just multiply Y, multiply ALL the terms in the equation or else everything will crash.

2. Now that I have terms in common I can choose to add or subtract. I chose subtraction because 2-2 equals zero which is what we want. Solve look at image for my process which lead to X = -8

3. Last step is to find the value of Y. Chose any of the given equations in system 2 then substitute x with -8. Refer to image to see process. It lead to y = 20


To check the validity of the answers, substitute the x and y values into both equations both side of the equal side should have the same number. Hope that helped!

6 0
3 years ago
The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th
timama [110]

Answer: (0.076, 0.140)

Step-by-step explanation:

Confidence interval for population proportion (p) is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} = sample proportion.

n= sample size.

\alpha = significance level .

z_{\alpha/2} = critical z-value (Two tailed)

As per given , we have

sample size : n= 500

The number of Independents.:  x= 54

Sample proportion of Independents\hat{p}=\dfrac{x}{n}=\dfrac{54}{500}=0.108

Significance level 98% confidence level : \alpha=1-0.98=0.02

By using z-table , Critical value : z_{\alpha/2}=z_{0.01}=2.33

The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

0.108\pm (2.33)\sqrt{\dfrac{0.108(1-0.108)}{500}}\\\\=0.108\pm2.33\times0.013880634\\\\=0.108\pm0.03234187722\\\\\approx0.108\pm0.032=(0.108-0.032,\ 0.108+0.032)=(0.076,\ 0.140)

Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)

8 0
3 years ago
Solve 1/2 + (- 3/4) =
Crazy boy [7]

Answer:

-0.25 or 1/4

Step-by-step explanation:

Eh just know

5 0
3 years ago
HELP PLS<br> idk how to do this<br> It's called Project: Let's get cooking!
Anastaziya [24]

Answer: What exactly do you need help with

4 0
3 years ago
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