Answer:
47°
Step-by-step explanation:
angles x and 133 are supplementary, so they add up to 180°
subtract 133 from 180 to get 47
The equation that represents the given data is ![\RM \\f(x) = -\sqrt[3]{-x} ,](https://tex.z-dn.net/?f=%5CRM%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7B-x%7D%20%2C)
Option D is the correct answer.
<h3>What is a Function ?</h3>
It is a statement where two variables , one dependent and one independent are related.
It is given that
a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).
The equation given in the options are
![\rm f(x) = -\sqrt[3]{x} \\f(x) = -\sqrt[3]{x-1} \\f(x ) =-\sqrt[3]{-x} -1 \\f(x) = -\sqrt[3]{-x}](https://tex.z-dn.net/?f=%5Crm%20f%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx%7D%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx-1%7D%20%5C%5Cf%28x%20%29%20%3D-%5Csqrt%5B3%5D%7B-x%7D%20-1%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7B-x%7D)
The function goes through (8,2)
Substituting the values
f(x) = -2
f(x) = ![\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%7D)
f(x) = -3
f(x) = 2
The equation that represents the given data is
Option D is the correct answer.
To know more about Function
brainly.com/question/12431044
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Respuesta:
3x² + 5x - 2
Explicación paso a paso:
Dado que :
Área del rectángulo, A = largo * ancho
Dimensión = 3x - 1; x + 2
Área = (3x - 1) * (x + 2)
Área = 3x² + 6x - x - 2
Área = 3x² + 5x - 2
Answer:
(a) Test statistic is -2.85 and p-value is 0.0022
(b) Reject the null hypothesis. The population mean of dissolved oxygen content is not equal to 10 mg/L
Step-by-step explanation:
H0: mu equals 10
Ha: mu not equals 10
The test is a two-tailed test because the alternate hypothesis is expressed using not equal to
(a) Test statistic (z) = (sample mean - population mean) ÷ (sd/√n) = (9.14 - 10) ÷ (2/√44) = -0.86 ÷ 0.302 = -2.85
Cumulative area of the test statistic = 0.9978
p-value = 2(1 - 0.9978) = 2(0.0022) = 0.0044
(b) The critical value using 0.02 significance level is 2.422. For a two-tailed test, the region of no rejection of the test statistic lies between -2.422 and 2.422.
Conclusion:
Reject the null hypothesis because the test statistic -2.85 falls outside the region bounded by the critical values -2.422 and 2.422.
The population mean of dissolved oxygen content is not equal to 10 mg/L
X=1.464102
Simplifies to: (1/2x)+1=1.732051
Step 1: Subtract 1 from both sides.
1/2x + 1 -1=1.732051-1
(1/2x)=0.732051
Step 2: Multiply both sides by 2
2*(1/2x) = (2) * (0.732051)
X=1.464102
