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UkoKoshka [18]
3 years ago
15

Evaluate the expression: -4a2 + 3ab - (2a + 3b) if a = 1/4 and b = -12

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

Answer:

Value of equation = 26.25

Step-by-step explanation:

Given:

Equation given

-4a² + 3ab - (2a + 3b)

Given value of a = 1/4

Given value of b = -12

Find:

Value of equation

Computation:

-4a² + 3ab - (2a + 3b)

By putting value of a and b

-4(1/4)² + 3(1/4)(-12) - [2(1/4) + 3(-12)]

-4(1/16) - (36/4) - [2/4 - 36]

-4/16 - 36/4 - [-142/4]

- 0.25 - 9 + 142/4

-0.25 - 9 + 35.5

Value of equation = 26.25

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I will give BRAINLIEST to whoever is correct.
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6 units down. Because you have to go from 3 to 0 which is 3 and from 0 to -3 which is another 3. 3+3=6 :)
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3 years ago
Of 900 centimeters. The table shows the height of each bounce.
Mars2501 [29]

Answer:

  • <u><em>Rounding to nearest tenth of centimeter, the ball bounces 192.1 cm high on the 5th bounce.</em></u>

<u><em></em></u>

Explanation:

The <em>ball is dropped from a height of 900 centimeters</em>.

Since the heights form a <em>geometric sequence,</em> you can find a common ratio between consecutive terms. This is:

  • Height bounce 2 / height bounce 1 = 560 / 800 = 0.7
  • Height bound 3 / height bounce 2 = 392 / 560 = 0.7

Hence, the ratio of the geometric sequence is 0.7, and taking bounce 1 as the start of the sequence, the general term of the sequence is:

            a_n=800(0.7)^{n-1}

With that formula you can find any term:

             n=1,a_1=800(0.7)^{(1-1)}=800(0.7)^0=800\\ \\ n=2,a_{2}=800(0.7)^{(2-1)}=800(0.7)=560\\ \\n=5,a_{5}=800(0.7)^{(5-1)}=800(0.4)^4=192.08

Rounding to <em>nearest tenth of centimeter</em>, the ball bounces 192.1 cm high on the 5th bounce.

4 0
4 years ago
What are the measures of the missing angles x°, y° of a regular triangle if one angle measure equals 60°?​
MArishka [77]

Answer:

So each interior angle measurement of the regular triangle is 60 degrees.

Step-by-step explanation:

If the triangle is regular, this means all the side measurements are congruent to each other and that all the angle measurements are congruent to each other.

If the sum of the angles in a triangle is 180 degrees and you know they are each the same then you could either solve x+x+x=180 or know we are just dealings with an equiangular triangle in which all angles have measurement 60 degrees.

If need more convincing, let's actually solve:

x+x+x=180

3x=180

x=180/3

x=60

So each interior angle measurement of the regular triangle is 60 degrees.

3 0
3 years ago
2 1/2kg cost £2.50. How much for 1kg?
TEA [102]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Figure out what you would need to do to get from 2.5kg to 1kg

You would need to divide by 2.5

Just divide the cost by this value:

2.5/2.5 = 1

1kg would cost £1.00

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

6 0
4 years ago
Read 2 more answers
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