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Alika [10]
3 years ago
10

Factor completely. 25+70x+49x^2

Mathematics
1 answer:
Neporo4naja [7]3 years ago
5 0

Answer:

(5+7x)^2

Step-by-step explanation:

25+70x+49x^2

This is a perfect square trinomial

a^2 +2ab + b^2 = (a+b)^2

5^2 *2*5*7x+ (7x)^2 = (5+7x)^2

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Find the solution set of the inequality \qquad52- 3x < -14.52−3x<−14.
Anarel [89]

Answer:

Step-by-step explanation:

add 14.52 to both sides of the inequality to cancel that value out from the middle. Then you can divide both sides by 3x to get x by itself in the middle.

5 0
2 years ago
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Complete the solution of the equation. Find the value of y when x equals -4 <br> x + 3y = 14
NeX [460]
Move all terms that don't contain y to the right side and solve.
y = - x/3 + 14/3
Hope this helps! :)
6 0
3 years ago
Factor using the x method <br><br><br> ( please do not answer without showing work )
muminat

Answer:

5(x + 10)(10x - 3)

Step-by-step explanation:

We are factoring

50x^{2} + 485x - 150

So:

((2•5^2x^2) +  485x) -  150

Pull like factors :

50x^2 + 485x - 150  =   5 • (10x^2 + 97x - 30)

Factor

 10x^2 + 97x - 30

Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

                    10x^2 - 3x + 100x - 30

Step-4: Add up the first 2 terms, pulling out like factors:

                   x • (10x-3)

             Add up the last 2 terms, pulling out common factors:

                   10 • (10x-3)

Step-5: Add up the four terms of step 4:

                   (x+10)  •  (10x-3)

            Which is the desired factorization

Thus your answer is

5(x + 10)(10x - 3)

8 0
2 years ago
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I need help please 20 or more points please
Norma-Jean [14]

Answer: V, V, (-5, -5.5)

Step-by-step explanation:

7 0
2 years ago
a group of hikers buy 8 bags of trail mix.each nag contains 3 1\2 cups of trail mix.the trail mix is shared evenly among 12 hike
Troyanec [42]
2 1/3 cup of trail mix per hiker.
8 0
3 years ago
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