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Sliva [168]
2 years ago
10

The distance from Charlotte to Abletown is given by 4x4 + 10x + 8. If John leaves Charlotte and travels Abletown and stops at a

gas station halfway to his destination, how far is it from the gas station to Abletown?
Mathematics
1 answer:
balu736 [363]2 years ago
6 0
4x^4+10x +8 =
4x^4+10x +8 ÷ 2 =
1/2x^4 +5x+4 is the distance from the gas station to Abletown
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Emerson is making a punch that contains 60% grape juice and the rest lemon-lime soda. The punch has 2 liters of lemon-lime soda.
valina [46]
Part A.

Consider a punch containing L liters.

60% of these that is \frac{60}{100}L=0.6L is grape juice, and the rest, 0.4 L is lemon-soda.

so, for the variable L, the total amount of punch, the total amount of grape juice is 0.6 L
and the amount of lemon soda in the punch is 0.4L
 
Part B.

For L=2, we substitute and get:

0.6 L=0.6 * 2 liters = 1.2 liters of grape juice

0.4 L = 0.4 * 2 liters = 0.8 liters of lemon soda.

5 0
3 years ago
The table represents a function.
mezya [45]

Answer:

-8

Step-by-step explanation:

You are given the following table representing the function f(x):

\begin{array}{cc}x&f(x)\\-4&-2\\-1&5\\3&4\\5&-8\end{array}

This means

f(-4)=-2\\ \\f(-1)=5\\ \\f(3)=4\\ \\f(5)=-8

Hence,

f(5)=-8

8 0
3 years ago
Read 2 more answers
Someone please help me ASAP!
loris [4]
It would be (-5,-1) yw
8 0
3 years ago
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Please help!!! If the first 4 terms of a geometric sequence are...
tigry1 [53]

Answer:

c.) aₙ = 5 × 4ⁿ⁻¹

Explanation:

Geometric sequence: aₙ = a(r)ⁿ⁻¹

where 'a' resembles first term of a sequence, 'r' is the common difference.

Here sequence: 5, 20, 80, 320,...

First term (a) = 5

Common difference (d) = second term ÷ first term = 20 ÷ 5 = 4

Hence putting into equation: aₙ = 5(4)ⁿ⁻¹

7 0
2 years ago
What is he value of F(-3)
PolarNik [594]

The correct answer is: " 10 " .

___________________________________________

→ " f(-3) = 10 " .

___________________________________________

Explanation:

___________________________________________


Given:

___________________________________________


f(x) = 7 − x ; if: x ≤ -3 ;


f(x) = x + 4 ; if: x > -3 ;

_________________________________________


Find: " f(-3) " :

_________________________________________


Note:  " f(x) = f(-3) " ;  → " x = - 3 " ;


Since  " x  = -  =3 " ;   →  x is NOT greater than "-3" ;


→ So; " f(x) does NOT equal " x + 4" ;

_________________________________________

Consider our other option given:


We have "x = -3 " .


We our given: If " x ≤ -3 " ; {that is; if "x" is less than or equal to "-3" };


→  then: " f(x) =  7 −  x " .

______________________________________________


Since: " x = - 3 " ;


→ then " x ≤ -3 " ;  and:


→ f(x) = 7 − x  ;


THEN:


→ f(-3) = 7 − (-3) ;  →  Note:  Plug in "-3" for the value(s) of "x" in the equation;

and solve:

→         =  7  +  3 ;    

             =  10 .

___________________________________________________

→  f(-3)  =  10  .


_____________________________________

The answer is:  " 10 " .

_____________________________________

Hope this answer — and explanation — is helpful to you.

Best wishes in your academic pursuits!

_____________________________________

5 0
3 years ago
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