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2 years ago

If T(n) = 7- n , what is the 2nd term?

Mathematics

1 answer:

Gelneren [198K]2 years ago

7 0

$T(2)=7-2=5$

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If line segment AB measures approximately 8.6 units and is considered the base of parallelogram ABCD, what is the approximate co

liraira [26]

Answer:

about 4.8 units

Step-by-step explanation:

6 0

1 year ago

What is the value of x in the equation 40(x - 3) = 24x - 48?

pogonyaev

Answer:

x=10.5

Step-by-step explanation:

40x-120=24x-48

40x-168=24x

16x-168=0

16x=168

x=10.5

Have a great day!

6 0

2 years ago

Can u help me ASAP. i need to know how to do it step by step

12345 [234]

Answer:

Step-by-step explanation:

$f(x) =4x^3-8x^2+ax+b$ has a factor $2x-1$ and

when divided by $x+2$ , remainder is 20.

To find:Remainder when divided by (x-1) ?

Solution:

$2x-1$ is a factor

$2x - 1 = 0 \Rightarrow x = \frac{1}{2}$ when we put this value of x to the function, it will become 0.

i.e.

$\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)$

Remainder is 20 when f(x) is divided by $x+2$

i.e.

$f(-2) =20$

$\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)$

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

$5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}$

By equation (1):

$a+2(18) = 3\\\Rightarrow a = -33$

So, the equation becomes:

$f(x) =4x^3-8x^2-33x+18$

$\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}$

So, when divided by (x-1), remainder will be <em>19</em>.

4 0

2 years ago

What is the inverse of the function f(x) = 2x + 1?|

padilas [110]

Answer:

1st option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

$\frac{y-1}{2}$ = x

Change y back into terms of x with x being the inverse h(x)

h(x) = $\frac{x-1}{2}$ = $\frac{1}{2}$ x - $\frac{1}{2}$

6 0

2 years ago

Label the following graph as vertical or horizontal:

vfiekz [6]

The answer is vertical.

8 0

2 years ago