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makvit [3.9K]
3 years ago
8

16c^2+ 18c+5 Factor Each Trinomial.

Mathematics
1 answer:
neonofarm [45]3 years ago
8 0

Answer:

(2c +1)(8c+5)

Step-by-step explanation:

I got my answer based off how i understood the problem.

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An employee at plant A receives a salary of $350 per week and a 2.9% bonus on the production sales for the week. If the sales fo
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350 + 0.029(5600) = 350 + 162.40 = 512.40 <==
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3 years ago
Darcy and Leah are looking at some fabric selections in a store. All of the selections are marked the same price, and the amount
alex41 [277]

We know that the price of all the fabrics is the same. However, the length of the fabrics is different. We have to determine which fabric is the longest.

Option A: \frac{43}{5}  = 8.6

Option B: \frac{33}{4} = 8.25

Option C: \frac{78}{9} = 8.6667

Option D: \frac{22}{3} = 7.33....

Hence, the longest fabric is the one given in option C, and its length is 8.6667

5 0
3 years ago
Read 2 more answers
One bottle contains 341 ml of juice. Céline buys 2 cases of 24 bottles of juice. Nicole buys 3 cases of 12 bottles of juice. Who
Helga [31]

Answer: Celine, 4092 ml

Step-by-step explanation:

Given

1 bottle contains 341 ml Juice

Celine buys 2 cases of 24 bottles i.e. a total of 48 bottles

Nicole buys 3 cases of 12 bottles i.e. a total of 36 bottles

Amount of Juice Celine has

\Rightarrow 48\times 341=16,368\ ml  

Amount of Juice Nicole has

\Rightarrow 36\times 341=12,276\ ml

Thus, Celine has more juice than Nicole

\Rightarrow 16,368-12,276=4092\ ml

Celine has 4092 ml more than Nicole

7 0
3 years ago
Can someone pleaseee help me!!
Cloud [144]

Answer:

121

Step-by-step explanation:

180°-74° = 106°

106°= x-15°

106+15= X

x= 121

(correct me if im wrong plz)

8 0
3 years ago
The area of a right triangle is sixty square centimetres. Its base is one centimetre less than twice its height. If the base and
NemiM [27]

Answer:

5. None of the above

Step-by-step explanation:

We have this information:

A = 60 cm2

b = 2*h - 1

Let's find out b and h:

The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have

60 = ((2*h - 1) * h)/2\\ 120 = 2*h^2 - h\\ 0 = 2*h^2 - h - 120

Let's find h with the quadratic formula:

\fbox {Quadratic formula:}  \frac{-b\pm\sqrt{b^2-4ac}}{2a}

h = \frac{-(-1)\pm\sqrt{(-1)^2-4*2*(-120)}}{2*2} = \frac{1\pm\sqrt{961}}{4} = \frac{1\pm\ 31}{4}

h = 8 or h = -7.5

But h represents the height of the triangle, so it has to be a positive number, that's h = 8.

If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.

Now we can calculate the hypotenuse with the Pythagorean equation  

\fbox {Pythagorean equation:} <em>The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle). </em>

The base and the height are our legs. We will use "H" for the hypotenuse

H^2 = b^2 + h^2 = 15^2 + 8^2 = 289\\ H = \sqrt {289} = 17

H = 17

If we decrease the base and the height by 2 centimeters, we have  

b' = 15 - 2 = 13 and h' = 8 - 2 = 6

With this, let's calculate the new hypotenuse:

H'^2 = b'^2 + h'^2 = 13^2 + 6^2 = 205\\ H' = \sqrt {205} \approx 14.3

H' \approx 14.3

So, the hypotenuse decreases H - H' \approx 17 - 14.3 = 2.7

3 0
3 years ago
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