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Rina8888 [55]
3 years ago
15

Which expression is equivalent to this one?

Mathematics
1 answer:
Alinara [238K]3 years ago
4 0

Hello,

Which expression is equivalent to this one?

1/6(x - 18)

Distributive property: (1/6x) - (1/6 x 18)

= 1/6x

= -18

Answer: 1/6x * (-18)

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F(x) = 5x2 – 20x + 26<br> In vertex form
mihalych1998 [28]

Answer:

f(x)=5(x-2)^{2}+6

Step-by-step explanation:

we have

f(x)=5x^{2} -20x+26

This is the equation of a vertical parabola open upward

The vertex is a minimum

The equation of a vertical parabola in vertex form is equal to

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

where

(h,k) is the vertex

Convert the given function to vertex form

Factor the leading coefficient

f(x)=5(x^{2} -4x)+26

Complete the square

f(x)=5(x^{2} -4x+4)+26-20

f(x)=5(x^{2} -4x+4)+6

Rewrite as perfect squares

f(x)=5(x-2)^{2}+6 ------> equation in vertex form

The vertex is the point (2,6)

6 0
3 years ago
Rita has a rope 5 m long. She cuts it into 2 pieces of length 2 m 30 cm and 1 m 65 cm.
Diano4ka-milaya [45]

Answer:

3m 95cm

Step-by-step explanation:

its... simple math? i added 2 and 1; and 30 and 65?

6 0
3 years ago
A sequence is defined by the function f(n)=f(n-1)+5. Where n represents the number of the term for n&gt;1 and f(1)=-4. What are
Neporo4naja [7]

Answer:

The first four terms of the above sequence are 1, 6, 11, 16.

Step-by-step explanation:

A sequence is defined by the function f(n)=f(n-1)+5.

Where n represents the number of the term for n>1

First Put n = 2

f(2)=f(2-1)+5.

    = f (1) + 5

    = -4 + 5

    = 1

Second Put n = 3

f(3)=f(3-1)+5.

    = f (2) + 5

    = 1 + 5

    = 6

Third Put n = 4

f(4)=f(4-1)+5.

    = f (3) + 5

    =  6+ 5

    = 11

Second Put n = 5

f(5)=f(5-1)+5.

    = f (4) + 5

    = 11 + 5

    = 16

Therefore the first four terms of the above sequence are 1, 6, 11, 16.

3 0
3 years ago
Read 2 more answers
A taxi charges 2.50 plus .50 fee for each mile. If the ride costs 7.50 how many miles did he travel
NeX [460]

Answer:<em> 10 miles</em>

Step-by-step explanation:

<em>Mile 1: 3.00</em>

<em>Mile 2: 3.50</em>

<em>Mile 3: 4.00</em>

<em>Mile 4: 4.50</em>

<em>Mile 5: 5.00</em>

<em>Mile 6: 5.50</em>

<em>Mile 7: 6.00</em>

<em>Mile 8: 6.50</em>

<em>Mile 9: 7.00</em>

<em>Mile 10: 7.50</em>

7 0
2 years ago
11. Find the Percent of Change (Round to the nearest tenth if necessary)
Elanso [62]

Answer:

A. 5.2% Decrease

Step-by-step explanation:

6 0
3 years ago
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