What is the solution to the equation Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3))?

Answers

Answer 1

Answer:

$\text{Solve:}\n\n-(5-(a+1))=9-(5-(2a-3))\n\n-(5-a-1))=9-(5-2a+3))\n\n-(4-a)=9-(8-2a)\n\n-4+a=9-8+2a\n\n-4+a=1+2a\n\n\text{Subtract a from both sides}\n\n-4=1+a\n\n\text{Subtract 1 from both sides}\n\n\boxed{-5=a}$

Answer 2

Answer:

The answer is A: a=-5

Step-by-step explanation:

took the test

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Identify the domain and range of the function graphed below.

Domain:
Range:

Answers

Answer:

The domain is $x\leq 4$

The range is $y\geq 0$

Step-by-step explanation:

we know that

The domain of the function graphed is the interval------> (-∞,4]

$x\leq 4$ -----> All real numbers less than or equal to $4$

The range of the function graphed is the interval------> [0,∞)

$y\geq 0$ -----> All real numbers greater than or equal to $0$

The domain of the function is the interval $\boxed{\left( { - \infty ,4} \right]}$ and the range of the function is the interval $\boxed{\left[ {0,\infty } \right)}$ .

Further explanation:

Domain

The domain of the function is the set of all input values for the function that all are independent variables.

The values from domain of the function represent on the $x$ axis of the graph.

The domain is the set of real numbers that is defined on the function.

It can be seen from the given graph that the function does not provide any output values for $x > 4$ .

Therefore, the domain for the function is $x \leqslant 4$ .

Thus, the domain of the function is the interval $\left( { - \infty ,4} \right]$ that means all the real number less than or equal to 4.

Range:

The range of the function is the set of all output value of the function.

The range of the function is the subset of the co-domain.

The elements of the range represents on the $y$ axis and these all are dependent values.

It can be seen from the given figure that the graph of the function is only shown above the $y$ axis that means the output values of the function is only positive real numbers.

Therefore, the range of the function is all real numbers greater than or equal to 0.

Thus, the range of the function is the interval $\left[ {0,\infty } \right)$ .

Learn more:

Learn more about the composition of the function brainly.com/question/2725608
Learn more about the inverse of the function brainly.com/question/1632445
Learn more about graph of the trigonometric function brainly.com/question/1388658

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Function

Keywords: Function, domain, range, graph, elements, greater equal, small, subset, set, dependent, variable, value, independent, output, input values.

What is the chance of rolling a 4 with a single die three times in a row

Answers

The key thing to remember when you're working a problem like this is that
the cube has no memory ... it doesn't know what happened on the last roll,
so the chance of any particular thing happening on the 2nd roll, or on the
100th roll, is the same as it was on the first roll.

Probability of success = (number of ways to succeed) / (total possibilities)

Number of ways for a 4 to come up . . 1
Total possible results of the roll . . . . . 6

Probability of rolling a 4 . . . . . 1 / 6 .

Probability of rolling two 4s . . . (1/6) x (1/6)

Probability of rolling three 4s . . (1/6) x (1/6) x (1/6) = 1/216 = about 0.46% .

The probability of rolling 4 in one roll is $(1)/(6)$ .
So the probability of rolling 4 three times in a row is $(1)/(6)\cdot(1)/(6)\cdot(1)/(6)=(1)/(216)$

What are the roots of
4x² = 8x-7?