MATHEMATICS HIGH SCHOOL

The constants a, b, and c are positive. Solve the inequality for x.

ax-b is less than c

Answers

Answer 1
Answer:

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ax - b < c

Add sides b

ax - b + b < c + b

Simplification

ax < b + c

Divide sides by a

(a)/(a) x < (b + c)/(a) \n

x < (b + c)/(a) \n

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Whats is six over 9 + 1 over 3 ​

Answers

Step-by-step explanation:

6/9 + 1/3

= 6/9 + 3/9

= 9/9

= 1.

I will upvoteWhat is the 12th term in the sequence?

Note: Use the explicit rule.

a_n=−16+2n

Enter your answer in the box.
a_12=

Answers

easy, sub 12 for n
a12=-16+2(12)
a12=-16+24
a12=8

The sum of two integers is -1. the product of the integers is -72 find the integers.

Answers

\left\{\begin{array}{ccc}x+y=-1\nx\ *\ y=-72\end{array}\right\n\left\{\begin{array}{ccc}x=-y-1\nx\ *\ y=-72\end{array}\right\n\nsunbstitute:\n\n(-y-1)y=-72\n-y^3-y+72=0\n\na=-1;\ b=-1;\ c=72\n\Delta=b^2-4ac\to\Delta=(-1)^2-4\cdot(-1)\cdot72=1+288=289\n\ny_1=(-b-\sqrt\Delta)/(2a)\to y_1=(1-√(289))/(2\cdot(-1))=(1-17)/(-2)=(-16)/(-2)=8\n\ny_2=(-b+\sqrt\Delta)/(2a)\to y_2=(1+√(289))/(2\cdot(-1))=(1+17)/(-2)=(18)/(-2)=-9

if\ y=8\ then\ x=-8-1=-9\n\nif\ y=-9\ then\ x=-(-9)-1=9-1=8\n\nAnswer:8\ and\ -9.

Answer:

the answer is 8 and -9

Step-by-step explanation:

hope this helps

N is the set of real numbers that are factors of 12{1, 2, 3, 4, 6}
{1, 2, 3, 4, 6, 12}
{1, 2, 3, 4, 5, 6, 8, 12}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Answers

We are asked to determine the set of real numbers that contain the factors of 12. 12 is considered as a composite number in which the factors are not only 1 and 12. Factors are considered as numbers in which 12 is divisible by them. In this case, the answer is B. {1, 2, 3, 4, 6, 12}. 

Sam is determining the area of a triangle. In this triangle, the value for the height is a terminating decimal, and the value for the base is a repeating decimal. What can be concluded about the area of this triangle?

Answers

The area of the triangle is a rational number,
since both its base and its height are.

Answer:

C

Step-by-step explanation:

edge2020

A regular number cube is rolled. What is the probability that a 3 will not be rolled?1. 1/6
2. 1/2
3. 4/5
4. 5/6

Answers

5/6
a normal cube has 6 numbers and 3 is 1/6 so 6/6-1/6=5/6
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