Mathematics, 22.11.2019 09:31 ellareynolds2337

Yuri thinks that 3/4 is a root of the following function. q(x) = 6x3 + 19x2 – 15x – 28 explain to yuri why 3/4 cannot be a root.

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If $\frac{3}{4}$ is a root of the equation, q(x) = 6x3 + 19x2 – 15x – 28 then by the factor formula q( $\frac{3}{4}$ ) = 0; if that is not the case then $\frac{3}{4}$ cannot be a factor of the function.

Now, q( $\frac{3}{4}$ ) = 6( $\frac{3}{4}$ )³ + 19( $\frac{3}{4}$ )² – 15( $\frac{3}{4}$ ) – 28
= $- \frac{833}{32}$

Therefore Yuri, since q( $\frac{3}{4}$ ) ≠ 0 then it implies that $\frac{3}{4}$ is not a root of q(x).

Additionally, a root should be expressed in terms of x, thus the possible root ought to be written as x = $\frac{3}{4}$ , instead of just $\frac{3}{4}$

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Answer from: Quest

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it

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Yuri thinks that 3/4 is a root of the following function. q(x) = 6x3 + 19x2 – 15x – 28 explain to yu...