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3 years ago

Consider the functions:

Mathematics

1 answer:

Natasha2012 [34]3 years ago

6 0

Answer:

a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x)

Step-by-step explanation:

To know the relation between the minima of the functions you calculate the minima by using the derivative:

$f'(x)=2x\\\\g'(x)=2(x+1)\\\\h'(x)=2(x+3)$

to find the values of x you equal the derivative of the function to zero:

$f'(x)=0;\ x=0;\\\\g'(x)=0; \ x=-1;\\\\h'(x)=0;\ x=-3;$

by evaluating this values of x you obtain the coordinates of the minima:

$f(0)=0\\\\g(-1)=-2\\\\h(-3)=4$

hence, the coordinates will be:

f -> (0,0)

g -> (-1,-2)

h -> (-3,4)

hence, the relation is:

a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x).

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A 13 = 254 and a 33 = 654 Find a 27

serious [3.7K]

Answer:

The value of a₂₇ is 294

Step-by-step explanation:

a₁₃ = 254

a₃₃ = 654

Now,

a₁₃ = 254 can be written as

a + 12d = 254 ...(1) and

a₃₃ = 654 can be written as

a + 32d = 654 ...(2)

Now, from equation (2) we get,

a + 32d = 654

a + 12d + 20d = 654

254 + 20d = 654 (.°. a + 12d = 254)

20d = 654 - 254

20d = 400

d = 400 ÷ 20

d = 20

Now, for the value of a put the value of d = 20 in equation (1)

a + 12d = 254

a + 12(20) = 254

a + 240 = 254

a = 254 - 240

a = 14

Now, For a₂₇

a₂₇ = a + 26d

a₂₇ = 14 + 9(20)

a₂₇ = 14 + 180

a₂₇ = 294

Thus, The value of a₂₇ is 294

-TheUnknownScientist

6 0

3 years ago

Alexandria has been playing at the beach with 329 shells. She is putting shells into rows of 6. How many rows will she need if s

Hitman42 [59]

Answer:

Alexandria requires 55 rows to use all the shells.

Step-by-step explanation:

Given:

Number of Shells = 329

Number of shells in each row = 6

We need to find the number of rows she need if she wants to use all the shells.

Solution:

Now we know that;

number of rows she needs can be calculated by Dividing Number of Shells with Number of shells in each row.

framing in equation form we get;

number of rows = $\frac{329}{6} = 54.83 \approx 55$

Hence Alexandria requires 55 rows to use all the shells.

5 0

4 years ago

(3x − 4)(2x)2 + 2x − 1).

zzz [600]

(3x−4)(2x)(2)+2x−1

Distribute:

=12x2+−16x+2x+−1

Combine Like Terms:

=12x2+−16x+2x+−1=(12x2)+(−16x+2x)+(−1)=12x2+−14x+−1

Answer:=12x2−14x−1

hope this helps! was there meant to be a parenthesis by the 2 + 2x - 1??

4 0

3 years ago

Can someone plz help me find the answer to 2x=4 y-16. and 2x-y=-7

telo118 [61]

Answer:

So, y = 2x + 7;

Then, 2x = 4( 2x + 7 ) - 16;

2x = 8x + 28 - 16;

2x = 8x + 12;

- 6x = 12;

x = - 2;

Then, y = 2· (-2) + 7;

y = - 4 + 7;

y = 3.

Step-by-step explanation:

8 0

4 years ago

Is 2,359 × 1,580 even or odd?

Nataly_w [17]

This will be even! You don't even need to work past multiplying the ones digits in each number because 9 times 0 is 0! If you do solve it you get 3,727,220, but that'd take forever to do :)

8 0

3 years ago

Read 2 more answers