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3 years ago

-3(-x+4)=5+3(x+1) please help

Mathematics

2 answers:

gavmur [86]3 years ago

4 0

Answer:

no solutions

Step-by-step explanation:

distribute the parenthesis

3x - 12 = 5 + 3x + 3

move all variables to one side of the equation and the constants to the other

3x - 3x = 5 + 3 + 12

0 = 20

there are no solutions

Lostsunrise [7]3 years ago

3 0

Answer:

No solution.

Step-by-step explanation:

Step 1: Write equation

-3(-x + 4) = 5 + 3(x + 1)

Step 2: Solve for x

Distribute: 3x - 12 = 5 + 3x + 3
Combine like terms: 3x - 12 = 3x + 8
Subtract 3x on both sides: -12 ≠ 8

Here, we see that x has to equal no solution. No value of x would make the equation true.

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Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero. Steps Reasons 1.

harkovskaia [24]

Answer:

$\dfrac{ad+bc}{bd}$

Step-by-step explanation:

Let $\frac{a}{b}$ and $\frac{c}{d}$ be two rational numbers, where b and d are not zero and a, b, c and d are integers.

1. Given:

$\dfrac{a}{b}+\dfrac{c}{d}$

2. Multiply to get a common denominator :

$\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad}{bd}+\dfrac{cb}{db}$

3. Simplify:

$\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad}{bd}+\dfrac{cb}{db}=\dfrac{ad+bc}{bd}$

4. Since $b\neq 0,\ d\neq 0,$ then $bd\neq 0.$

If $a,b,c,d$ are integers, then $bd, ad,bc, ad+bc$ are integers too. So the fraction

$\dfrac{ad+bc}{bd}$

is a rational number

6 0

3 years ago

Read 2 more answers

A train traveled at 62 miles per hour for 7.5 hours. How far did the train travel in 7.5 hours? Use the formula D = r x t

Aleksandr-060686 [28]

Answer:

465 miles

Step-by-step explanation:

D = r * t

D = 62 * 7.5 = 465 miles

4 0

3 years ago

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please answer the question on the screenshot below, also please explain to me how you got your answer.

frutty [35]

QUESTION 1

The given functions are;

$f(x)=5x^2-2x$ and $g(x)=5x^2+x-4$

$(f+g)(x)=f(x)+g(x)$

$(f+g)(x)=5x^2-2x+3x^2+x-4$

We regroup like terms to obtain;

$(f+g)(x)=5x^2+3x^2-2x+x-4$

This simplifies to;

$(f+g)(x)=8x^2-x-4$

The correct answer is A.

QUESTION 2

The given functions are;

$f(x)=3x^2+5$ and $g(x)=x-2$ .

$(fg)(x)=(f(x))(g(x))$

This implies that;

$(fg)(x)=(3x^2+5)(x-2)$

$\Rightarrow (fg)(x)=3x^3-6x^2+5x-10$

The correct answer is B.

QUESTION 3

The given functions are

$f(x)=3x^2+10x-8$ and $g(x)=3x^2-2x$ .

$(\frac{f}{g})(x)=\frac{f(x)}{g(x)}$

$(\frac{f}{g})(x)=\frac{3x^2+10x-8}{3x^2-2x},x\ne0,\frac{2}{3}$

We factor to obtain;

$(\frac{f}{g})(x)=\frac{(x+4)(3x-2)}{x(3x-2)},x\ne0,\frac{2}{3}$

We cancel the common factors to obtain;

$(\frac{f}{g})(x)=\frac{x+4}{x},x\ne0,\frac{2}{3}$

The correct answer is A.

5 0

3 years ago

2x+y=-6 what are the x and y intercepts

Deffense [45]

Answer:

Step-by-step explanation:

y intercept

To find the y intercept, make x = 0

2(0) + y = - 6 zero times anything is 0

0 + y = -6

The y intercept is (0,-6)

x intercept

The x intercept happens when y = 0

2x + 0 = -6 zero added to anything = whatever you started with.

2x = - 6 Divide by 2

2x/2 = -6/2 Do the division

x = - 3

The x intercept = (-3,0)

5 0

3 years ago

Plz answer quick!!!

erica [24]

75.36 is the answer.

4 0

3 years ago

-3(-x+4)=5+3(x+1) please help​

-3(-x+4)=5+3(x+1) please help