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2 years ago

Solve for x: 3-(2x-5) < -4(x+2)

Mathematics

1 answer:

Hitman42 [59]2 years ago

3 0

Answer:

r>5

Step-by-step explanation:

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(x+3)(x-5)-(4x+1)(1-4x)=17x^

Greeley [361]

Answer: $\boxed{Sol=\{\dfrac{7}{4} \}}\\$

I suppose 17x^ means 17x².

and that we must solve the equation.

Step-by-step explanation:

$(x-3)(x-5)-(4x+1)(1-4x)=14x^2\\\\x^2-3x-5x+15+(4x+1)(4x-1)=17x^2\\\\x^2-8x+15+16x^2-1=17x^2\\\\-8x+14=0\\\\8x=14\\\\x=\dfrac{7}{4} \\\\\boxed{Sol=\{\dfrac{7}{4} \}}\\$

6 0

2 years ago

Does the size of the square unit that is used to cover a shape make a difference in

Crazy boy [7]

Answer:

No it does not

Step-by-step explanation:

5 0

2 years ago

Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each tool contains 15 ca

Rainbow [258]

Answer:

(A) 0.006593 or 0.6593%

(B) 0.01538 or 1.538%

Step-by-step explanation:

The total number of possibilities to pick 3 parts out of 15 possible parts is given by the following combination:

$n=\frac{15!}{(15-3)!3!}=\frac{15*14*13}{3*2*1}\\n=455\ ways\\$

(A) There are only three possibilities for which the inspector finds exactly one nonconforming part (NCC, CNC, CCN). Therefore, the probability is:

$P(N=1) = \frac{3}{455}=0.006593 =0.6593\%$

(B) There are three possibilities for which the inspector finds exactly one nonconforming part, three possibilities for two nonconforming parts (NNC, CNN, NCN), and one possibility for all nonconforming parts (NNN). The probability that the inspector finds at least one nonconforming part is:

$P(N>0) =P(N=1)+P(N=2)+P(N=3) \\P(N>0) = \frac{3}{455}+ \frac{3}{455}+ \frac{1}{455}\\P(N>0) =0.01538 =1.538\%$

5 0

2 years ago

Find the value of x in the triangle shown below

frutty [35]

Answer:

sqrt(104) =x

Step-by-step explanation:

We can use the Pythagorean theorem since this is the right triangle.

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.

2^2 + 10^2 = x^2

4+100 = x^2

104 = x^2

Take the square root of each side

sqrt(104) = sqrt(x^2)

sqrt(104) =x

3 0

2 years ago

a regular polygon has a perimeter of 36 inches. each side is exactly 6 inches long. which figure does this discribe?

fgiga [73]

Since a side is only 6 inches long and the total perimeter is 36; take 36/6 and you get 6. The only figure with six sides is a hexagon, thus your answer is hexagon.

3 0

2 years ago