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Doss [256]
3 years ago
6

The two expressions below are equivalent. Find the values of a and b that make them equivalent.

Mathematics
2 answers:
inn [45]3 years ago
8 0

Answer:

a=3\text{ and } b=-17

Step-by-step explanation:

We are given that:

5x^2+bx-12=(5x+a)(x-4)

First, we can distribute the right-hand side:

5x(x-4)+a(x-4)

Distribute:

=5x^2-20x+ax-4a

Rewrite:

=5x^2+(-20+a)x-(4a)

Since it is equivalent to the above expression, the coefficients of the variables must match. This means that:

-20+a=b\text{ and } 12=4a

Solving for a in the second equation gives:

a=3

Therefore:

b=-20+3=-17

Alex777 [14]3 years ago
5 0
I don’t really know but if you ask a tutor they can help
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660 divided by 15 is the same as?
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Step-by-step explanation:

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3 years ago
Eggs are bought for 80c each and sold for R15 per dozen. What is the percentage profit (rounded off to the nearest percentage) ma
Mekhanik [1.2K]

The percentage profit made on the eggs is 56.25%

Data;

  • Cost price = 80c
  • Number of eggs = 1 dozen = 12 eggs
  • Selling price = R15

<h3>Percentage Profit</h3>

This is the ratio between the profit to the cost price multiplied by 100.

But 1 R = 100 cents

15 R = x

1R = 100c\\15R = x\\x = 15 * 100\\x = 1500c

The Cost price for 1 dozen is

80 * 12 = 960c

The cost price of the eggs is 960c

The percentage profit here will be

\% profit = \frac{selling price - cost price}{cost price} * 100\\\% profit= \frac{1500-960}{960}*100\\ \%profit = \frac{540}{960}*100\\ \% profit= 56.25 \%

The percentage profit made on the eggs is 56.25%

Learn more on selling price here;

brainly.com/question/19104371

4 0
3 years ago
Solve for a in terms of b, c, and d: ab+c=d
aniked [119]

Answer:

The correct answer by solving question no 1 is

a=(d-c)/b

Step-by-step explanation:

ab+c=d

or,ab=d-c

Therefore,a=(d-c)/b

8 0
3 years ago
Read 2 more answers
I don’t really know about inequalities can y’all help?
MArishka [77]

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Step-by-step explanation: I don’t really know about inequalities can y’all help?

5 0
3 years ago
What is the circumference of the circle? Assume π=3.14
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6 0
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