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eimsori [14]
2 years ago
15

Replace the * with a monomial so that the trinomial may be represented by a square of a binomial:

Mathematics
1 answer:
pogonyaev2 years ago
8 0

Answer:

Below in bold.

Step-by-step explanation:

The identity is of the form

(a + b)^2 = a^2 + 2ab + b^2.

a) Sqrt 49 = 7 and we need + 28 as the middle coefficient . We get this with

2*7 + 2*7 so the first coefficient is 2*2 = 4.

So * = 4a^2.

(2a + 7)^2 = (2a + 7)(2a + 7) = 4x^2 + 14a + 14a + 49.

b) -6 * -6 = 36   -24 =  2*-6 + 2 *-6 so the last term is 4x^2

c) The middle term  must be an 'ab' term.

sqrt 6.25 = 2.5 and sqrt 1/4 = 1/2

So the coefficient of the middle term is 2.5 * 1/2 + 2.5 * 1/2

= 2.5

So the middle term is 2.5ab.

d) The first term will be in b^2.

100 = 10* 10 and we need 2 as a middle term so coefficient of the first term

will be  1/100 or 0.01.  as the 2 comes from 0.1 * 10 + 0.01 * 10 and (0.1)^2 = 0.01

So it is 0.01b^2.

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15 similar blouses and 2 similar skirts cost $505. 5 such blouses and 2 such
Luden [163]

Answer:

Cost of five blouses = $145

Step-by-step explanation:

Let

x = cost of blouse

y = cost of skirt

15x + 2y = 505 (1)

5x + 2y = 215 (2)

Subtract (2) from (1) to eliminate y

15x - 5x = 505 - 215

10x = 290

x = 290/10

x = 29

Substitute x = 29 into (2)

5x + 2y = 215 (2)

5(29) + 2y = 215

145 + 2y = 215

2y = 215 - 145

2y = 70

y = 70/2

y = 35

x = cost of blouse = $29

y = cost of skirt = $35

How much do 5 such blouses cost?

cost of a blouse = $29

Cost of five blouses = $29 × 5

= $145

Cost of five blouses = $145

5 0
2 years ago
A sporting goods store is having a 15% off sale on all items. Which functions can be used to find the sale price of an item that
asambeis [7]
The answers are: 
<span>ƒ(x) = x - .15x
</span><span>Sale = Original - .15(Original)
</span><span>y = .85x

Let sale price be f(x) and x be the original price. Discount was 15% = 0.15
f(x) = x - 0.15x

If f(x) is sale and x is the original, then:
</span><span>Sale = Original - .15(Original)

Let sale price be y and original price x:
y = x - 0.15x
y = 1 * x - 0.15 * x
y = (1 - 0.15) * x
y = 0.85x</span>
3 0
3 years ago
PLEASE HELP ME!!!!!!!
aleksley [76]

Answer:

X < -4

Step-by-step explanation:

You would subtract thd 10. Then divide the -5. Also, you need to remember to flip the sign when you divide by a negative.

8 0
3 years ago
Negative 99610=1700 minus 55g
Stella [2.4K]
-99610=1700-55g
-1700 -1700
-101310=-55g
---------- ------
-55 -55

1842=g
4 0
3 years ago
Jerome is a pharmacy technician that filled a prescription that use 1/4 bottle of ibuprofen. How many pills did jerome use for t
Neporo4naja [7]

It is clearly mentioned in the question that each bottle of ibuprofen has 1000 pills.

Now, 1/4 bottle of ibuprofen is used to make the prescription.

So, if one bottle of ibuprofen has 1000 pills and 1/4 1/4 bottle of ibuprofen is used to make the prescription, then Jerome obviously used \frac{1000}{4}=250 pills of ibuprofen to make the prescription.

This can be further explained as follows:

1 bottle=1000 pills

\therefore \frac{1}{4} bottle=\frac{1000}{4}=250 pills.


7 0
3 years ago
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