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3 years ago

Which factors can be multiplied together to make the trinomial 5x^2+8x-4

Mathematics

1 answer:

Kitty [74]3 years ago

4 0

Answer:

Step-by-step explanation:

hello :

5x²+8x-4 quadratic expression when : a = 5 and b=8 and c= -4

∆ = b²-4ac ∆ = 8²-4(5)(-4) = 64 +80 = 144 = 12²

X1 = ( -b -√∆)/2a X1 = (-8-12)/10 = -20/10= -2

X2 =(-b+√∆)/2a X2 = (-8+12)/10 = 4/10 = 2/5

us factorisation : a(X-X1)(X-X2)

5x²+8x-4= 5(x+2)(x-2/5) = (x+2)(5x-2)

you can verify ; (x+2)(5x-2) = 5x²-2x+10x-4 = 5x²+8x-4

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Please someone help):

____ [38]

Answer:

tan R= 45/28

tan S= 28/45

Step-by-step explanation:

tan R = TS/RT= 45/28

tanS = RT/TS= 28/45

3 0

4 years ago

Read 2 more answers

∠E and ∠F are vertical angles with m∠E=9x+12 and m∠F=3x+24. What is the value of x?

statuscvo [17]

Answer:

x = 2

Step-by-step explanation:

<em>Vertical angles are equal as per definition.</em>

∠E and ∠F are vertical angles
m∠E = 9x+12 and m∠F = 3x+24
x = ?

<u>Solution</u>

9x+12 = 3x+24
9x - 3x = 24 - 12
6x = 12
x = 2

4 0

3 years ago

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20 cm.

Anastasy [175]

Answer:

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Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Ests show that the first photo detector isacceptable with probability 3/5. When the first photo detector is acceptable, the seco

vredina [299]

Answer:

The probability that exactly one photo detector of a pair is acceptable is $\frac{19}{25}$ .

Step-by-step explanation:

Let the A = first photo detector is acceptable and B = second photo detector is acceptable .

The information provided is:

$P(A) = \frac{3}{5} \\P(B|A)=\frac{4}{5}\\ P(B|A^{c})=\frac{2}{5}$

The law of total probability states that:

$P(X)=P(X|Y)P(Y)+P(X|Y^{c})P(Y^{c})\\$

Using the law of total probability determine the probability of B as follows:

$P(B)=P(B|A)P(A)+P(B|A^{c})P(A^{c})\\=(\frac{4}{5}\times\frac{3}{5} )+(\frac{2}{5}(1- \frac{3}{5}))\\=\frac{12}{25}+\frac{4}{25}\\ =\frac{16}{25}$

The addition rule of probability is:

$P(Y\cup X) = P(Y) + P(X) - P(Y\cap X)\\$

Compute the probability that exactly one photo detector of a pair is acceptable using the addition rule of probability as follows:

$P(A\cup B) = P(A) + P(B) - P(A\cap B)\\=P(A) + P(B) - P(B|A)P(A)\\=\frac{3}{5} +\frac{16}{25} -[\frac{4}{5}\times\frac{3}{5}] \\=\frac{3}{5} +\frac{16}{25}-\frac{12}{25}\\=\frac{15+16-12}{25}\\= \frac{19}{25}$

Thus, the probability that exactly one photo detector of a pair is acceptable is $\frac{19}{25}$ .

3 0

4 years ago

Solve the following problem then write your answer before the number.

Triss [41]

Answer:

1) Rizza's average speed is 27 km/h.

2) The distance between Barretto and Pampanga is 294 km.

3) Aaron's journey was 3.5 hours long.

Step-by-step explanation:

1) Time taken to cove the distance = 20 minutes

60 minutes = 1 hour

So that, 20 minutes = $\frac{20}{60}$ hours

= $\frac{1}{3}$ hours

Distance covered = 9 km

But,

speed = $\frac{distance covered}{time taken}$

Rizza's average speed = 9 ÷ $\frac{1}{3}$

= 9 x 3

= 27 km/h

Rizza's average speed is 27 km/h.

2) Time taken = 3.5 h

the car's average speed = 84 km/h

Distance between Barretto and Pampanga = average speed x time taken

= 84 km/h x 3.5 h

= 294 km

The distance between Baretto and Pampanga is 294 km.

3) The uniform speed implies that Aaron did not accelerate during his journey.

Distance covered = 210 km

uniform speed = 60 km/h

time taken = $\frac{distance covered}{speed}$

= $\frac{210}{60}$

= 3.5 hours

Aaron's journey was 3.5 hours long.

6 0

3 years ago