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Natalija [7]
3 years ago
9

How to factor ax2 bx c?

Mathematics
1 answer:
Burka [1]3 years ago
8 0

In the same way as you could factor trinomials on the form of

<span><span><span>x2</span>+bx+c</span><span><span>x2</span>+bx+c</span></span>

You can factor polynomials on the form of

<span><span>a<span>x2</span>+bx+c</span><span>a<span>x2</span>+bx+c</span></span>

If a is positive then you just proceed in the same way as you did previously except now

<span><span>a<span>x2</span>+bx+c=<span>(<span>x+m</span>)</span><span>(<span>ax+n</span>)</span></span><span>a<span>x2</span>+bx+c=<span>(<span>x+m</span>)</span><span>(<span>ax+n</span>)</span></span></span>

<span><span>where  c=mn,ac=pq         </span><span>and b=p+q=am+<span>n</span></span></span>

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Exercise<br>1<br>Solve the inequality<br>of these equation<br>pretty please ​
Ad libitum [116K]

Answer:

y<6

Step-by-step explanation:

1 /3 y +  1/4  >  3 /8y

1 /3 y +  1/4  −  3/ 8 y > 3/ 8 y −  3/ 8 y

− 1 /24 y +  1 4  > 0

−1 /24 y +  1 /4  −  1/ 4  > 0 −  1 /4

−1 /24 y >  −1/ 4

Multiply both sides by 24/(-1).

y<6

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6 0
3 years ago
Consider the polynomial 8x^3+2x^2-20x-5 factor
pantera1 [17]

Answer:

(4x + 1)(2x² - 5)

Step-by-step explanation:

Given

8x³ + 2x² - 20x - 5 ( factor the first/second and third/fourth terms )

= 2x²(4x + 1) - 5(4x + 1) ← factor out (4x + 1) from each term

= (4x + 1)(2x² - 5)

4 0
3 years ago
If there is a positive correlation between number of years of education and the amount of vacation time, which of the following
sammy [17]
Two of the careers that have more years of education are surgery and architecture.

Then, as per the positive correlation of the numbers of years of education and the amount of vacation time, you would expect that those carers have the most amount of vacation time.
6 0
2 years ago
Read 2 more answers
In ΔRST, s = 58 inches, ∠R=115° and ∠S=19°. Find the length of r, to the nearest 10th of an inch.
Lorico [155]

Answer:

365.9 Inches

Step-by-step explanation:

To find the value of Sin A can be found using the sine rule. the rule states that the ratio of the length facing an angle in a triangle to the sine of the angle is constant. As such,

a/Sin A = b/Sin B = c/Sin C

Where is a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.

Hence,

58/Sin 19 = r/Sin 115

r = 58 Sin 115/ Sin 19

= 365.9 Inches

8 0
3 years ago
Which diagram shows lines that must be parallel lines cut by a transversal? 2 horizontal lines are intersected by a third line.
ivanzaharov [21]

Answer:

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Step-by-step explanation:

Alternate interior angles are supplementary when parallel lines are crossed by a transversal. The first description seems to be describing alternate interior angles. (See attachment)

_____

<em>Comment on orientation</em>

If the transversal is oriented horizontally, then the descriptions of the angles will be of different angles than assumed here.

8 0
3 years ago
Read 2 more answers
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