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astraxan [27]
3 years ago
15

Write the quadratic function in standard form. y = (x + 1)^2– 8

Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer:

y = x² + 2x - 7

Step-by-step explanation:

The standard form of a quadratic is y = ax² + bx + c : a ≠ 0

Given

y = (x + 1)² - 8 ← expand factor using FOIL

  = x² + 2x + 1 - 8

  = x² + 2x - 7 ← in standard form

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Use the remainder theorem to determine the remainder when 3t2 + 5t − 7 is divided by t − 5.
Rom4ik [11]

given :-

p(t) = 3t^2 - 5t - 7

g(t) = t - 5

=> t = 5

on putting values..

p(5) = 3(5)² + 5(5) - 7

= 3(25) + 25 - 7

= 75 - 18

= 57

hence, the remainder is 57.

D. 57 is the correct option

3 0
3 years ago
Find the area of the shape shown below.
avanturin [10]

Answer:

12 units²

Step-by-step explanation:

a=longer base

b = shorter base

h = height

Area=(a+b)*h/2

Area = (10+2)*2/2=12 units²

7 0
3 years ago
How does 0.03 compare to 0.003
kati45 [8]

0.03 compare to 0.003

While comparing decimals we write the decimals one below the other according to the place value of each digits in place value chart

ones -- point -- Tenths -- Hundredths -- Thousandths

 0          .             0              3

 0          .             0              0                      3

Now we compare each digit left to right. We have 3 in hundredths  and 0 in hundredths place. 3 is greater

So 0.03  is greater than  0.003

0.03 > 0.003

6 0
4 years ago
Read 2 more answers
A car travels for 3 hours and covers 156 miles. Find the average speed of the car.
lidiya [134]

Answer:

52 miles per hour

Step-by-step explanation:

Firstly, It is important to point out  that it is Average speed. The Average speed throughout all the way the car traveled.

And this is may calculated by a simple formula or if you'd rather by a proportion. Let's pick this simple formula, what's going to be useful.

Let's do the math!

Average speed = Δs/Δt

Δs = Variation of Space (given in miles) =156 -0

Δt =Variation of Time (given in hours) =3-0

Average Speed = 156-0/3-0 =156/3 =52 miles per hour

It is important to say, Average speed, is a rate so it is given in miles per hour

5 0
3 years ago
Can someone help me please
svp [43]
I can help you with something else ??
6 0
3 years ago
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