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daser333 [38]
3 years ago
14

Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?

Mathematics
2 answers:
mezya [45]3 years ago
6 0
I hope this helps you



y= 2 (x^2-4x+4)+1


y=2 (x.x-2.2.x+(-2). (-2))+1


y= 2. (x-2)^2+1
pishuonlain [190]3 years ago
3 0

we have

y=2x^{2} -8x+9


Group terms that contain the same variable, and move the constant to the opposite side of the equation

y-9=2x^{2} -8x


Factor the leading coefficient

y-9=2(x^{2} -4x)


Complete the square. Remember to balance the equation by adding the same constants to each side

y-9+8=2(x^{2} -4x+4)

y-1=2(x^{2} -4x+4)


Rewrite as perfect squares

y-1=2(x-2)^{2}

y=2(x-2)^{2} +1-----> equation in vertex form


therefore


the answer is the option C

y=2(x-2)^{2} +1


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Pls help me complete this
snow_tiger [21]

Answer: The number of times a yellow cube will be drawn is 390 times.

Step-by-step explanation: Like the last question with the blue cubes, set up a ratio.

Since it is still 240 times drawn and we need to figure out how many times a yellow cube will be drawn from 1200 times, the top number only changes.

78/240 = x/1200

Multiply 78 and 1200, which is 93,600.

Divide that by 93,600, which is 390.

7 0
3 years ago
The triangles are similar. what is the value of x ?
jonny [76]

\dfrac{32}{4x+12}=\dfrac{8}{15}\\\\ \dfrac{8}{x+3}=\dfrac{8}{15}\\\\ x+3=15\\\\ x=12

6 0
3 years ago
You have been doing research for your statistics class on the prevalence of severe binge drinking among teens. You have decided
Serggg [28]

Answer:

(1.218 ; 1.322)

the confidence interval is appropriate

Step-by-step explanation:

The confidence interval :

Mean ± margin of error

Sample mean = 1.27

Sample standard deviation, s = 0.80

Sample size, n = 914

Since we are using tbe sample standard deviation, we use the T table ;

Margin of Error = Tcritical * s/√n

Tcritical at 95% ; df = 914 - 1 = 913

Tcritical(0.05, 913) = 1.96

Margin of Error = 1.96 * 0.80/√914 = 0.05186

Mean ± margin of error

1.27 ± 0.05186

Lower boundary = 1.27 - 0.05186 = 1.218

Upper boundary = 1.27 + 0.05186 = 1.322

(1.218 ; 1.322)

According to the central limit theorem, sample means will approach a normal distribution as the sample size increases. Hence, the confidence interval is valid, the sample size of 914 gave a critical value at 0.05 which is only marginally different from that will obtained using a normal distribution table. Hence, the confidence interval is appropriate

8 0
3 years ago
7p-(3p+4)= -2(2p-1) + 10<br> Solve each equation.
Aliun [14]
Perform the indicated multiplication:

<span>7p-(3p+4)= -2(2p-1) + 10

becomes 

7p - 3p - 4 = -4p + 2 + 10

Group like terms:

7p - 3p + 4p = 2 + 10 + 4

           8p      =   16 => p = 2 (answer)</span>
8 0
3 years ago
Answer correclty
kolezko [41]

Answer:

2. B) The events have a strong positive linear correlation.

1. C) Find the slope using the slope formula:

\frac{y_2 - y_1}{x_2 - x_1}

Step-by-step explanation:

2. The correlation coefficient is 0,02, which is positive, so this would be the obvious choice.

1. You CANNOT write a linear equation without FIRST finding the rate of change [slope]. You will ALWAYS need the rate of change in order to write any linear equation.

I am joyous to assist you anytime.

5 0
3 years ago
Read 2 more answers
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