Expontential function f f(x) = a*b^x x f(x) 0 5 1 8 f(x) =

Trey can drive his car 130 miles on 4 gallons of gas. At this rate, how many gallons of gas will Trey need in order to drive 195

Alexxx [7]

Step-by-step explanation:

Hi friend. Hope this helps you.

Stay blessed.

♥️♥️

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7Bx%2B1%7D%20%2B%5Cfrac%7B3%28x-1%29%7D%7Bx%7D%20%3D5" id="TexFormula1" title=

Luden [163]

Answer:

$x=-3$

Step-by-step explanation:

Given equation:

$\dfrac{2x}{x+1}+\dfrac{3(x+1)}{x}=5$

Make the denominators the same:

$\implies \dfrac{2x}{x+1} \cdot\dfrac{x}{x}+\dfrac{3(x+1)}{x} \cdot \dfrac{x+1}{x+1}=5$

$\implies \dfrac{2x^2}{x(x+1)}+\dfrac{3(x+1)^2}{x(x+1)} =5$

Combine the fractions:

$\implies \dfrac{2x^2+3(x+1)^2}{x(x+1)} =5$

Multiply both sides by x(x+1):

$\implies 2x^2+3(x+1)^2 =5x(x+1)$

Expand the brackets:

$\implies 2x^2+3(x^2+2x+1) =5x^2+5x$

$\implies 2x^2+3x^2+6x+3 =5x^2+5x$

Combine like terms:

$\implies 5x^2+6x+3=5x^2+5x$

Subtract 5x² from both sides:

$\implies 6x+3=5x$

Subtract 5x from both sides:

$\implies x+3=0$

Subtract 3 from both sides:

$\implies x=-3$

Learn more about algebraic fractions here:

brainly.com/question/27943438

brainly.com/question/27979364

5 0

2 years ago

the point (21, 32) is on a line with the slope 1.5 find the equation of the line. find the coordinates of another point on the l

wlad13 [49]

Answer:

The equation would be y = 1.5x + 0.5

Step-by-step explanation:

To find the equation of the line, use the point and the slope in point-slope form.

y - y1 = m(x - x1)

y - 32 = 1.5(x - 21)

y - 32 = 1.5x - 31.5

y = 1.5x + 0.5

3 0

4 years ago

WILL MARKDOWN BRAINLIEST

sergij07 [2.7K]

Answer:

1. $539

2. $300

3. C

Step-by-step explanation:

May I have brainliest?

5 0

3 years ago

X/3-15=-2 solve for x

Otrada [13]

Answer:

x = 45

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/3-(15)=0

Step 1 : Simplify

$\frac{x}{3}$

Equation at the end of step 1 :

$\frac{x}{3}$ - 15 = 0

Step 2 :

Rewriting the whole as an Equivalent Fraction :

Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

$15=\frac{15}{1} =\frac{15*3}{3}$

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

$\frac{x-(15*3)}{3} =\frac{x-45}{3}$

Equation at the end of step 2 :

$\frac{x-45}{3} =0$

Step 3 :

When a fraction equals zero :

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

$\frac{x-45}{3}*3=0*3$

Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-45 = 0

Solving a Single Variable Equation :

Solve : x-45 = 0

Add 45 to both sides of the equation :

x = 45

One solution was found :

x = 45

3 0

3 years ago