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3 years ago

50 points i neeeeeed help

Mathematics

1 answer:

viktelen [127]3 years ago

7 0

Answer:

B. a₁ = -6, aₙ = aₙ₋₁ + 4

Step-by-step explanation:

From the given sequence we see that:

Common difference is 4

Find the first term:

a₁ + 3*4 = a₄
a₁ + 12 = 6
a₁ = -6

The recursive formula for this sequence is:

a₁ = -6, aₙ = aₙ₋₁ + 4

Correct choice is B

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A city has an elevation of 465 feet. Another city has an elevation of -45 feet. Which expression can be used to find the differe

jonny [76]

D.(465-(-45)) hope this helped

8 0

3 years ago

Diana averages 6 mph walking

Diano4ka-milaya [45]

Answer:

Distance between school and home = 105 miles.

Step-by-step explanation:

Let distance = D miles

Time to take walking/jogging, t1 = D/6 hours

Time by car, t2 = D/35 hours

Average time, t

= (t1+t2)/2

= D(1/6+1/35)

= (D/210)(35+6)

=41D/210 hours

Given t = t1-3 hours

41D/210 - D/6 = 3

Solve for D

41D/210 - 35D/210 = 3

(41-35)D/210 = 3

6D/210 = 3

D = 3*210/6 = 105 miles.

(Appreciate very much Diana's efforts to walk/job 105 miles to school, and we understand how lucky we are in most of Europe and North America)

3 0

3 years ago

PLEASE HELP I forgot how to do this and it’s for a final :((

natima [27]

F(x)= 2/(x+1) and g(x)= -x2-12 => f(-7)= ? , g(2.5)= ?, g(f(- 0.5))= ?
In the expression of the function f(x) we will replace instead of x the number in bracket (-7) => f(-7) = 2/(-7+1)= 2/-6 = - 1/3
In the expression of the function g(x) we will replace instead of x number in bracket (2.5) => g(2.5) = - (2.5)squared -12= - 6.25 -12= - 18.25
Expression f(g(x)) or g(f(x)) is multiplication (composition) of the reflecting of functions f and g. We will do this in the following way => g(f(x))= g(2/(x+1))= -(2/(x+1))2 - 12= -(4/(x+1)2) -12= -4-12(x+1)2/(x+1)2=> we will replace instead of x the number in bracket (-0.5) or (-1/2) => g(f(-1/2) = -4-12((-1/2)+1)2/ ((-1/2+ 1)2= -4-12(1/2)2/(1/2)2=-4-12*(1/4)/(1/4)= (-4-3)/(1/4)=-28
Eaisier way => f(-1/2)=2/((-1/2)+1)=2/(1/2)= 4 g(4) -(4)2-12 = -16-12= -28

8 0

4 years ago

As x increases and y stays constant, z as y increases and x stays constant, zas x increases and z stays constant, y

Stells [14]

Consider $z=\frac{x}{y}$

(1) As x increases and y stays constant, z ______

(2) As y increases and x stays constant, z _____

(3) As x increases and z stays constant, y ______

Answer:

$z=\frac{x}{y}$

(1) As x increases and y stays constant, z increases

When y stays constant, z is directly proportional to x. So , as x increases the z also increases.

(2 ) As y increases and x stays constant, z decreases.

When x stays constant, z is inversely proportional to y. So , as y increases the z decreases.

(3) As x increases and z stays constant, y increases

$z=\frac{x}{y}$ (z stays constant)

So equation becomes $y=\frac{x}{z}$

When z stays constant, y is directly proportional to x. So , as x increases the y also increases.

6 0

3 years ago

Three times the sum of a number and 3 is 3 less than the number times 5. Find the number

Reika [66]

Hello!

Let's write this as an equation.

3(x+3)=5x-3

First, let's simplify the parentheses.

3x+9=5x-3

Let's subtract 5x from both sides.

-2x+9=-3

We subtract 9 from both sides.

-2x=-12

We divide both sides by -2.

x=6

Therefore, the number is 6.

I hope this helps!

4 0

3 years ago