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3 years ago

Translate the sentence into an Intequality Eight subtracted from y is greater than 25

Mathematics

1 answer:

Brums [2.3K]3 years ago

4 0

Answer:

8-y<25 hope this answers it

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Q8 Q3.) Solve the system by the substitution method.

inn [45]

Recall that $(x+y)^2=x^2+2xy+y^2$ . So we can add twice the first equation to the second one to get

$x^2+y^2+2xy=10+2\cdot3\iff(x+y)^2=16\implies x+y=\pm4$

Since $xy=3$ , we have $y=\dfrac3x$ $(x\neq0)$ so

$x+y=x+\dfrac3x=\pm4\implies x^2\mp4x+3=0$

If $x+y=4$ , then

$x^2-4x+3=(x-3)(x-1)=0\implies x=3,x=1\implies y=1,y=3$

If $x+y=-4$ , then

$x^2+4x+3=(x+1)(x+3)=0\implies x=-1,x=-3\implies y=-3,y=-1$

So the solution set is

$(x,y)\in\{(-3,1),(1,3),(-1,-3),(-3,-1)\}$

3 0

3 years ago

Sixty percent of the customers who go to Sears Auto Center for tires buy four tires and 22% buy two tires. Moreover, 12% buy few

kozerog [31]

Answer:

A Cumulative probability distribution for the number of tires bought is prepared below.

Step-by-step explanation:

We are given that Sixty percent of the customers who go to Sears Auto Center for tires buy four tires and 22% buy two tires. Moreover, 12% buy fewer than two tires, with 6% buying none.

The cumulative probability distribution for the number of tires bought is given by;

No. of tires Probability Distribution Cumulative Probability

Distribution

0 6% 6%

1 6% 12%

2 22% 34%

3 6% 40%

4 60% 100%

Now, here we are given within the question about:

P(0 tires) = 6%

P(2 tires) = 22%

P(4 tires) = 60%

Also, P(Fewer than 2 tires) = 12% which means P(0 tires) + P(1 tire) must be equal to 12%. So, P(1 tire) = 12% - 6% = 6%.

And, in the end P(3 tires) = 100% - 6% - 6% - 22% - 60% = 6%.

3 0

3 years ago

Help :( I’m not sure what the answer is

r-ruslan [8.4K]

Answer:

if it says greatest change then its 6:30 to 7:00

Step-by-step explanation:

7 0

3 years ago

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A mathematics journal has accepted 14 articles for publication. However, due to budgetary restraints only 7 articles can be publ

butalik [34]

The total number of articles is 14 and only 7 can be published. Since what is asked is the ways to assemble the 7 articles, this is a permutation problem.
14P7 = 17297280 ways
If order is not of concern, the problem is just a combination problem
14C7 = 3432 ways

7 0

3 years ago

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Factor the quadratic expression completely 15x^-4x-4

In-s [12.5K]

Answer:

(5x+2)(3x-2)

Step-by-step explanation:

4 0

3 years ago