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3 years ago

-15x=-4x... How to move the x to the left?

1 answer:

4 0

-15x=-4x

We know that adding zero wouldn’t change the value

-15x=-4x+0

Now we can add 4x (since that’s the opposite of the negative sign) to the other side

-11x=0

0 divided by 11 is 0

x=0

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Complete the recursive formula of the arithmetic sequence 4, 22, 40,58, ....

dlinn [17]

Answer:

b (1)= 4

b (n)= b (n-1)+ 18

Step-by-step explanation:

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2 years ago

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Makovka662 [10]

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2 years ago

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6 0

3 years ago

A father is 25 years old . Six years ago he was 5 times as old as his son. Find the present age of Father and son.

raketka [301]

Answer:

Define F as fathers age and S as sons age right now.

Then now they are

(1) 3S = F

and six years ago they were

(2) 5*(S-6) = F-6

calculate 5*(S-6)

5S - 30 = F-6

Subtract left and right side by -F

Add 30 to left and right side

5S - F = 24

Put (2) 3S = F into the equation above

5S - 3S = 24

2S = 24

S = 12

insert result in (2) 3S = F

3*12 = F

36 = F

Step-by-step explanation:

So the son is 12 years, and the father is 36 years.

5 0

2 years ago

Which function in vertex form is equivalent to f(x) = x2 + x +1? f(x) = (x + one-quarter) squared + three-quarters f(x) = (x + o

a_sh-v [17]

The function in vertex form is $f(x)=(x+\frac{1}{2})^{2}+\frac{3}{4}$ ⇒ 3rd answer

Step-by-step explanation:

The vertex form of the quadratic function f(x) = ax² + bx + c is

f(x) = a(x - h)² + k, where

a is the coefficient of x²
(h , k) are the coordinates of the vertex point
$h=\frac{-b}{2a}$ , wher b is the coefficient of x
k = f(h), that means value f(x) when x = h

∵ f(x) = x² + x + 1

∴ a = 1 , b = 1

∵ $h=\frac{-b}{2a}$

- Substitute the values of a and b to find h

∴ $h=\frac{-1}{2(1)}$

∴ $h=\frac{-1}{2}$

Substitute the value of x in f(x) by the value of h to find k

∵ f( $\frac{-1}{2}$ ) = $(\frac{-1}{2})^{2}+\frac{-1}{2}+1$

∴ f( $\frac{-1}{2}$ ) = $\frac{1}{4}-\frac{1}{2}+1$

∴ f( $\frac{-1}{2}$ ) = $\frac{3}{4}$

- k is the value of f(x) when x = h

∵ h = $\frac{-1}{2}$

∴ k = f( $\frac{-1}{2}$ )

∴ k = $\frac{3}{4}$

Substitute the values of a, h and k in the vertex form

∵ f(x) = a(x - h)² + k

∵ a = 1 , $h=\frac{-1}{2}$ , $k=\frac{3}{4}$

∴ $f(x)=1(x-\frac{-1}{2})^{2}+\frac{3}{4}$

∴ $f(x)=(x+\frac{1}{2})^{2}+\frac{3}{4}$

The function in vertex form is $f(x)=(x+\frac{1}{2})^{2}+\frac{3}{4}$

Learn more:

You can learn more about the quadratic functions in brainly.com/question/9390381

#LearnwithBrainly

7 0

3 years ago

Read 2 more answers