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laila [671]
3 years ago
9

Which measurement is the most precise? A) 29 cm B) 28.8 cm Eliminate C) 28.76 cm D) 28.762 cm

Mathematics
1 answer:
ioda3 years ago
5 0

Answer:

D) 28.762 cm

Step-by-step explanation:


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The parabola with equation $y=ax^2+bx+c$ is graphed below:
Mashutka [201]

Answer:

m-n=2

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

f(x)=a(x-h)^2+k

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

f(x)=a(x-2)^2-4

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

12=a((4)-2)^2-4

Solve for a. Subtract within the parentheses:

12=a(2)^2-4

Add 4 to both sides:

16=a(2)^2

Square:

16=4a

Solve:

a=4

Thererfore, the value of a is 4.

So, our function is:

f(x)=4(x-2)^2-4

Now, let’s find our roots. Set the equation to 0 and solve for x:

0=4(x-2)^2-4

4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

4 0
2 years ago
Read 2 more answers
Cedric purchased a new refrigerator and stove at Home Depot for $3,729 on a deferred payment plan with no down
lesya [120]

Answer:

correct option is d. $242.81

Step-by-step explanation:

given data  

APR = 25.5% = \frac{25.5}{12}     = 2.125  

paid = $3,729

solution

we get here finance charge on the 1st month by multiplying 3,729 and now adding it to existing balance

so we get finance charge for the second and third months similarly as

APR ÷ 100 = \frac{2.125 }{100}  = 0.02125

so 1st  

= $3,729 × 0.02125  

= 79.25  

and  

$3,729  + $79.25 = $3808.24  

so for next  

= $3808.24 × 0.02125  

= 80.93

and  

$3808.24  + $80.93 = $3889.17  

so for next  

= $3889.17  × 0.02125  

= 82.64  

and  

$3889.17 + $ 82.64  = $3971.81

so  

finance charge =  3971.81 - 3729  

finance charge = 242.81  

so correct option is d. $242.81

8 0
3 years ago
Solve the system using a matrix.
zheka24 [161]

Answer:

using Gaussian elimination method of matrix

4 0
3 years ago
If the diameter of a semi circle is 2 inches what is the semi circles perimeter
SpyIntel [72]

Answer: 5.14 cu in

Step-by-step explanation:

1/2 (π × d) + d, where d is the diameter of the semi

Perimeter = 1/2 (3.14 x 2) + 2

= 1/2 * 6.28 + 2

= 3.14 + 2

5 0
3 years ago
(11n - 3n) - n<br><br> Help plz desperate
Arlecino [84]

Answer: 7n

Step-by-step explanation:

Because....

First Remove the parentheses (a) = a

= 11n - 3n - n

Then add similar elements: 11n - 3n - n = 7n

= 7n

* Hopefully this helps:) Mark me the brainliest:)!!

~ 234483279c20~

8 0
3 years ago
Read 2 more answers
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