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saw5 [17]
3 years ago
8

Create another show real life multi-step function problems with Solutions in quadratics​

Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer:

Kazan also SOS jz zks zj sj aka always zks. aiwow

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One positive number is 14 less than another positive number. If the reciprocal of the smaller number is added to five times the
Kipish [7]

Let's call the two numbers s and l.


Given these variables, we can say: s = l - 14, based on the first sentence in the problem.


Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:

\dfrac{1}{s} + 5\Big( \dfrac{1}{l} \Big) = \dfrac{1}{4}


To solve, we can simply substitute l -14 in for s in the second equation and solve.

\dfrac{1}{l - 14} + \dfrac{5}{l} = \dfrac{1}{4}

  • Set up

\dfrac{l}{l(l - 14)} + \dfrac{5(l - 14)}{l(l - 14)} = \dfrac{1}{4}

  • Get terms on the left side to a common denominator for easier addition

\dfrac{l + 5l - 70}{l(l - 14)} = \dfrac{1}{4}

  • Simplify

4(6l - 70) = l(l - 14)

  • Cross multiplication (\frac{a}{b} = \frac{c}{d} \Rightarrow ad = bc)

24l - 280 = l^2 - 14l

  • Simplify

l^2 - 38l + 280 = 0

  • Subtract 24l - 280 from both sides of the equation

(l - 10)(l - 28) = 0

  • Factor left side of the equation

l = 10, 28

  • Zero Product Property

Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,

s = 10 - 14 = -4,

Since s is not positive in this case, l = 10 is not a solution.


Thus, l = 28 is our only solution. In this case,

s = 28 - 14 = 14,

which means that the smaller number is 14 and the larger number is 28.

5 0
3 years ago
If 64 seedlings are allowed 24cm? of space ?<br> How much space should be allowed for 48 seedlings?
Monica [59]

128 cm square space is required for 48 seedlings

check

for 1 seedlings= 64÷ 24

= 2.66

for 48 seedlings = 2.66666667× 48 = 128

if right plz give Brainliest would really appreciate it.

Thank u

Be safe

Be healthy

XD

3 0
3 years ago
Given the function f(x) = 2x, find the value of f−1(32).
Oliga [24]

Answer:

it is -30

Step-by-step explanation:

you would divide both sides by x,then f=2

using PEMDAS we come to -30

5 0
3 years ago
3x+11y=8 SOLVE FOR Y
viva [34]
3x + 11y = 8
-3x               -3x
11y = 8 - 3x 
/11        /11
y = 0.72 - 3x/11
4 0
3 years ago
Read 2 more answers
Please help times running out
denpristay [2]

Answer: c

Step-by-step explanation:

6 0
3 years ago
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