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Mrac [35]
2 years ago
9

Find the value of 3a^2+2b, If a=3 and b = 4.An explanation would be great.

Mathematics
2 answers:
vichka [17]2 years ago
8 0

Answer:

=35

Step-by-step explanation:

3(3) ^2 + 2(4)

= 3(9) + 8

= 35

Where you see a, substitute with 3 and where you see b, substitute with 4

Just follow the steps above.

QveST [7]2 years ago
5 0

\\ \sf\Rrightarrow 3a^2+2b

\\ \sf\Rrightarrow 3(3)^2+2(4)

\\ \sf\Rrightarrow 3(9)+8

\\ \sf\Rrightarrow 27+8

\\ \sf\Rrightarrow 35

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For each table of values, write an expression that relates the input to the output.
Arlecino [84]

Answer:

x3, +3

Step-by-step explanation:

Each number gets multiplied by 3 and then you add 3.

8 0
2 years ago
1. On average, a person blinks 15 times in a minute. Determine the number oftimes a person would blink for an entire day.
Inessa05 [86]

Answer:

21,600

Step-by-step explanation:

minutes in a day: 1,440

1,440 x 15 = 21,600

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3 years ago
Please answer both parts to the question below. :)<br> Thank you!
scoundrel [369]
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3 years ago
Sandy cut a 151-centimeter board into five pieces. The three shortest pieces are the same length and the two longer pieces are e
Serga [27]

Answer: The short piece is 29.6 cm long and 32.6 cm long.

Step-by-step explanation:

Let x = length of short pieces , y = lengthof longer pieces.

y=x+3      (i)

As per given,        

3x+2y=151               (ii)

Substitute value of y from (i) in (ii), we get

3x+2(x+3)=151\\\\\Rightarrow\ 3x+2x+3=151\\\\\Rightarrow\ 5x=148\\\\\Rightarrow\ x=\dfrac{148}{5}=29.6

Put value of in (i), we get

y=29.6+3= 32.6

Hence, the short piece is 29.6 cm long and 32.6 cm long.

8 0
3 years ago
A rectangle has a length of 30 feet less than 8 times its width. If the area of the rectangle is 3542 square feet, find the leng
natali 33 [55]

Step-by-step explanation:

length = 8×width - 30

length × width = 3542

(8×width - 30)×width = 3542

8width² - 30width - 3542 = 0

4width² - 15width - 1771 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = width

a = 4

b = -15

c = -1771

width = (15 ± sqrt((-15)² - 4×4×-1771))/(2×4) =

= (15 ± sqrt(225 + 28336))/8 =

= (15 ± sqrt(28561))/8 = (15 ± 169)/8

width1 = (15 + 169)/8 = 184/8 = 23 ft

width2 = (15 - 169)/8 = -154/8 = -19.25 ft

a negative number for an actual length does not make any sense, so, only width = 23 ft is a valid solution.

length = 8×width - 30 = 8×23 - 30 = 184 - 30 = 154 ft

8 0
2 years ago
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