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2 years ago

Please help if possible, this is my unit test

Mathematics

1 answer:

maks197457 [2]2 years ago

5 0

Answer:

i belive u got it right!

Step-by-step explanation:

i used calculator :>

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What value of x is in the solution set of 2(3x-1) ≥4x-6

astra-53 [7]

Answer:

$\large\boxed{x\geq-2\to x\in[-2,\ \infty)}$

Step-by-step explanation:

$2(3x-1)\geq4x-6\qquad\text{use distributive property}\ a(b-c)=ab-ac\\\\(2)(3x)-(2)(1)\geq4x-6\\\\6x-2\geq4x-6\qquad\text{add 2 to both sides}\\\\6x\geq4x-4\qquad\text{subtract 4x from both sides}\\\\2x\geq-4\qquad\text{divide both sides by 2}\\\\x\geq-2$

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3 years ago

Simplify xz^3 x 4x^4z^4

beks73 [17]

Answer:

4x^5z^7

Step-by-step explanation:

Multiply the whole numbers and add the exponents with the same base.

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2 years ago

Which conjunction or disjunction is equivalent to |t – 7| > 12?

Klio2033 [76]

$|t-7| > 12\ \ \ \Leftrightarrow\ \ \ (t-7>12\ \ \ \ \ or\ \ \ \ \ -(t-7)>12)\ /\cdot (-1)\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ t-7>12\ \ \ \ \ or\ \ \ \ \ \ \ \ \ \ \ t-7$

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2 years ago

Find the axis of symmetry and the vertex of the graph of f(0) = 4x^2 - 8x +3.

olganol [36]

Answer:

Vertex: (1,-1)

Symmetry: x = 1

Step-by-step explanation:

y = 4x² - 8x + 3

y = 4(x² - 2x) + 3

y = 4[x² - 2(x)(1) + 1² - 1²] + 3

y = 4(x - 1)² - 1

In y = a(x - h)² + k,

(h,k) is the vertex

And a vertical line passing through the vertex is the line of symmetry, i.e x = h.

Vertex: (1,-1)

Symmetry: x = 1

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2 years ago

Under average driving conditions, the life lengths of automobile tires of a certain brand are found to follow an exponential dis

wariber [46]

Answer:

a) $P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368$

b) $P(X>30000|X>15000)=P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}, x>0$

And 0 for other case. Let X the random variable that represent "life lengths of automobile tires of a certain brand" and we know that the distribution is given by:

$X \sim Exp(\lambda=\frac{1}{30000})$