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svlad2 [7]
3 years ago
7

The distance a race car travels is given by the equation,

B2%7D%20at%5E%7B2%7D" id="TexFormula1" title="d=v_{0} t+\frac{1}{2} at^{2}" alt="d=v_{0} t+\frac{1}{2} at^{2}" align="absmiddle" class="latex-formula">, where v_{0} is the initial speed of the race car, a is the acceleration and t is the time traveled. Near the beginning of a race, the driver accelerates for 9 seconds at a rate of 4m/s^{2}. The driver's initial speed was 75 m/s.
Find the driver's average speed during the acceleration.
Mathematics
1 answer:
Roman55 [17]3 years ago
5 0

Step-by-step explanation:

here's the answer to your question

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HELP it's a maths question worth 4 marks
Ksenya-84 [330]

a = 3, b= - 4 and c = - 4

expand the left side using FOIL

(2x + 1)(ax + b) = 2ax² + 2bx + ax + b = 2ax² + x(2b + a) + b

compare the coefficients of expressions on left and right sides.

compare 2ax² + x(2b +a) + b with 6x² - 5x + c

coefficients of x² terms → 2a = 6 ⇒ a = 3

coefficients of x terms → 2b + a = - 5 → 2b + 3 = - 5 → 2b = - 8 ⇒ b = - 4

constant terms c = b = - 4


4 0
3 years ago
Easton is going to invest $340 and leave it in an account for 8 years. Assuming the interest is compounded quarterly, what inter
Jlenok [28]

Answer:

100.7%

Step-by-step explanation:

Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.

We can setup a formula using our period of time and the money he invested into the bank:

340(x)^{32}=420

We can divide 340 from both sides, and simplify the right side to 21 divided by 17:

x^{32}=\frac{21}{17}

Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.

5 0
3 years ago
Rob is a high school student taking both algebra and geometry. Last night he had 27 homework problems combined from the two clas
azamat

Answer:

  15

Step-by-step explanation:

Let x represent the number of algebra problems. Then the number of geometry problems was 27-x and the total working time was ...

  2x +5(27 -x) = 90

  -3x = 90 -135 . . . . subtract 135

  x = -45/-3 = 15 . . . divide by -3

Rob had 15 algebra problems for homework.

8 0
3 years ago
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ladessa [460]

Answer:

d. -19, -3.7, -3/4, 6.05

Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
Decimal multiplier by 1.7%
Svet_ta [14]

Answer:

times by 1.17

Step-by-step explanation:

hope this helps!

please give me a brainliest!!<3

3 0
3 years ago
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