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timurjin [86]
3 years ago
8

The function f(x)=x^2-12x+5written in vertex form is f(x)=(x-6)^2-31what are the coordinates of the vertex

Mathematics
1 answer:
schepotkina [342]3 years ago
5 0
The vertex to this question is (6, -31)
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PLEASE HELP ME WITH GEOMETRY PLS AND TANKYOU
mart [117]

Answer:

68

Step-by-step explanation:

because 180-44=136

136:2=68 (since TRS=TSR, there is formula)

5 0
2 years ago
Fast i need it thanks
Troyanec [42]

Answer:

trigonometry is difficult haha….  Answer is 8.81 I think

Step-by-step explanation:

5 0
1 year ago
How do I simplify this exponent problem???
Nikolay [14]

Hello from MrBillDoesMath!

Answer:

(3/4) a^(-5)b^(-3)c^2


Discussion:  

(18 a^-3b^2c^6)/ (24 a^2b^5c^4) =

(18/24) a^ (-3-2) b^(2-5) c^(6-4) =

                  as  a^-3/a^-2 = a ^ (-3-2) = a^(-5), for examples

(3/4) a^(-5)b^(-3)c^2


Thank you,

MrB

8 0
2 years ago
To test the belief that sons are taller than their​ fathers, a student randomly selects 13 fathers who have adult male children.
KATRIN_1 [288]

Answer:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

Test statistic, t = -0.00693

p- value = 0.498

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 level of significance

Step-by-step explanation:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

The test statistic for t test is;

t=\dfrac{(\bar{x}_1-\bar{x}_2)}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}

The mean

Height of Father, h₁,  Height of Son h₂

72.4,      77.5

70.6,      74.1

73.1,       75.6

69.9,      71.7

69.4,      70.5

69.4,      69.9

68.1,       68.2

68.9,      68.2

70.5,       69.3

69.4,       67.7

69.5,       67

67.2,       63.7

70.4,       65.5

\bar x_1  = 69.6      

s₁ = 1.58

\bar x_2 = 69.9

s₂ = 3.97

n₁ = 13

n₂ = 13

t=\dfrac{(69.908-69.915)}{\sqrt{\dfrac{3.97^{2}}{13}-\dfrac{1.58^{2} }{13}}}

(We reversed the values in the square root of the denominator therefore, the sign reversal)

t = -0.00693

p- value = 0.498 by graphing calculator function

P-value > α Therefore, we do not reject the null hypothesis

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 lvel of significance

8 0
3 years ago
Jackson drinks 0.44 liters of water, which was 55% of the water in the bottle. How much water was in the bottle to start?
Delicious77 [7]

Answer:

He had 0.8 liters to start with...

Step-by-step explanation:

0.44 is 55% of what? (what = x)

Equation: Y = P% * X

X = Y/P%

X = 0.44/55%

55% = 0.55

X = 0.44/0.55

X = 0.8

7 0
3 years ago
Read 2 more answers
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