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andrew-mc [135]
2 years ago
14

HELP!!! 20x^2 - 41x + 20. I have to “decompose” this into factors

Mathematics
1 answer:
kondor19780726 [428]2 years ago
7 0

Answer:

(4x - 5)(5x - 4)

Step-by-step explanation:

20x² - 41x + 20

41 ± √1681 - 4(400) / 40

41 ± 9 / 40

5/4 or 4/5

Now using the zeros,

(x - 5/4) (x - 4/5)

(4x - 5)(5x - 4)

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Peter attends 6 dance lessons each week all year long a year has 52 weeks peter missed 5 dance lessons while sick how many dance
viktelen [127]
6 lessons per week multiplied by the number of weeks in a year
6 x 52 = 312
total - 5 missed
312 - 5 = 307 dance lessons
5 0
4 years ago
Given the formula A = 5h (B + b); solve for B.<br> 2
stellarik [79]

Answer:

B = A/5h - b; You could use

B = (A - 5hb)/5h  This just puts everything over a common denominator.

Step-by-step explanation:

A = 5h (B + b)          Divide both sides by 5h

A/5h = B + b             Subtract b from both sides.

A/5h - b = B

6 0
4 years ago
5 pounds is how many ounces
chubhunter [2.5K]

Answer:

80 ounces

Step-by-step explanation:

There are 16 ounces in a pound. So to convert from pounds to ounces, you multiply 5 by 16, which is 80.

4 0
3 years ago
The volume of a fish tank is 60 cubic feet. If the density is 0.3 fish over feet cubed, how many fish are in the tank? 200 9 100
FinnZ [79.3K]

Answer:

There are 18 fish in the fish tank.

Step-by-step explanation:

The volume of a fish tank is 60 cubic feet: V = 60 ft³.

The density is 0.3 fish over feet cubed. d = 0.3 fish/ft³

We can find the number of fish using proportions. The required conversion factor is 0.3 fish/ft³. The number of fish is:

60 ft³ × (0.3 fish/ft³) = 18 fish

There are 18 fish in the fish tank.

5 0
3 years ago
Solve the following system of equations by graphing. Label the solution and all intercepts.
olganol [36]

Answer:

(4,4)

y = 4

x = 4

Step-by-step explanation:

First we need to input y = 1/2x + 2 into 4x - 2y = 8.

4x - 2 (1/2x + 2) = 8 <-- Then solve

4x - 1x + -4 = 8

3x - 4 = 8

    +4   +4

---------------------

3x    =    12

3             3

x = 4

Now we need to use x and apply it to find y.

y = 1/2x + 2

y = 1/2(4) + 2

y = 2 + 2

y = 4

Now to graph go on the x axis (horizontal axis) and go to 4, then up 4 on the y axis.

You need to graph the point (4,4).

I hope this helps!

6 0
3 years ago
Read 2 more answers
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