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rusak2 [61]
3 years ago
10

What is f(x) = x2 – 8x 11 written in vertex form? f(x) = (x – 4)2 – 5 f(x) = (x – 4)2 5 f(x) = (x 4)2 – 27 f(x) = (x 4)2 27?

Mathematics
2 answers:
sveta [45]3 years ago
7 0

Answer:

f(x) = (x - 4)² - 5 is the vertex form

Step-by-step explanation:

Given function is f(x)=x^{2} -8x+11

we have to write this function in the vertex form

Vertex form of a parabola is written in the form of f(x) = a(x - h)²+ k

Now we can convert the original function in the vertex form

f(x) = x²- 8x + 11

f(x) = (x²- 8x + 16) - 5

f(x) = (x - 4)² - 5 [(a - b)² = a² + b²- 2ab]

f(x) = (x -4)² - 5 is the answer.

ioda3 years ago
3 0
Y= (x - 4) ^2 -5 you are welcome :)
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F(x) = -x^2 + 5x – 2<br> Find f(-4)
disa [49]

Answer:

2

Step-by-step explanation:

if f(4), than -4^2=-16

5(4)=20

-16+20-2=2

8 0
3 years ago
Alegebra liner equations.
luda_lava [24]
1. The answer would be (D). This is because you will plug is the (x) of the ordered pair into the equation(y=-2x), so first off would be (y=-2(-2)). since your multiplying a negative time a negative, you will get your (y) which is 4. Now you do this with the rest. -2(1)=-2 and -2(3)=-6.
2. This would be (A). This answer is simple. First you will take one of the equations (y=-x-1) and plug x into it's place so, y=-3-1, getting your answer(y) as being -4. Now you do the same with the other pair. y=-5-1, getting -6, showing (A) as your answer.
3.The answer will be (A)y is 2 times x. this is because you wou would make out the equation from the answer (y=2x). Now knowing your equation, all thats left is plugging in your (x) factors. so y=2(1), getting your (y) value of 2 and you would do this with the rest of your x factors. 
4. y=5+x
    y=5+(2)= 7
    y=5+(3)= 8
    y=5+(4)= 9
5. (B)y is 3 times x
    y=3(x)
    y=3(3)=9
    y=3(4)=12
    y=3(5)=15
6. (C)y is 6 less than x
    y=6-(x)
    y=6-(8)=2
    y=6-(9)=3
    y=6-(10)=4
5 0
3 years ago
Criterion: Identify IV, DV, and hypotheses and evaluate the null hypothesis for an independent samples t test. Data: Use the inf
Papessa [141]

The table is missing in the question. The table is provided here :

Group 1        Group 2

 34.86            64.14      mean

 21.99            20.46      standard deviation

  7                    7                n

Solution :

a). The IV or independent variable = Group 1

    The DV or the dependent variable = Group 2

b).

  $H_0: \mu_1 = \mu_2$

  $H_a:\mu_1 < \mu_2$

  Therefore,   $t = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{S_2^2}{n_2}}}$

$t = \frac{34.86 - 64.14}{\sqrt{\frac{21.99^2}{7}+\frac{20.46^2}{7}}}$

t = -2.579143

Now,   $df = min(n_1 - 1, n_2 - 1)$

           df = 7 - 1

               = 6

Therefore the value of p :

  $=T.DIST(-2.579143,6,TRUE)$

 = 0.020908803

The p value is 0.0209

$p< 0.05$

So we reject the null hypothesis and conclude that $\mu_1 < \mu_2$

7 0
3 years ago
An ABC News poll asked adults whether they felt genetically modified food was safe to eat. 35% felt it was safe, 52% felt it was
Masteriza [31]

Answer:

The proportions differ from those reported in the survey.

Step-by-step explanation:

The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.

The hypothesis for the test can be defined as follows:

<em>H</em>₀: The proportions does not differ from those reported in the survey.

<em>Hₐ</em>: The proportions differ from those reported in the survey.

Assume that the significance level of the test is, α = 0.01.

The Chi-square test statistic is given by:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}

Consider the Excel sheet provided.

The Chi-square test statistic value is 191.32.

The <em>p</em>-value of the test is:

p-value=P(\chi^{2}_{(n-1)}>191.32)\\\\=\text{CHISQ.DIST.RT}(191.32,2)\\\\=0.0000

The <em>p</em>-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.

Thus, concluding that the proportions differ from those reported in the survey.

5 0
3 years ago
HELP MEE ASAP PLSSSS ♥
Oksanka [162]

Step-by-step explanation:

you add

Hours. Minutes

5. 48

+7. 78

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12. 126

Then 126÷60 minutes =2hours 6mins

12hrs+2hrs=14hrs

Answer=14hours 6minutes

7 0
3 years ago
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