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2 years ago

37= -3 + 5 (x+6) solve for x

Mathematics

2 answers:

Tomtit [17]2 years ago

7 0

Answer:

x = -6

Step-by-step explanation:

1. Pull out like factors: 24+4x=4•(x + 6)

2. Solve: 4=0 (This equation has no solution. A a non-zero constant never equals zero.)

3. Solve: x+6=0 (Subtract 6 from both sides of the equation.)

That's how you will get x = -6

Yanka [14]2 years ago

6 0

Answer:

x = 2

Step-by-step explanation:

37= -3 + 5 (x+6)

Distribute 5(x+6)

37= -3 + 5x + 30

Combine like terms (30-3)

37= 5x + 27

Subtract 27 to both sides (37-27)

10 = 5x

Divide 5 to both sides (10/5)

x = 2

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Solve the equations by substitution method: A. 2x-y-3=0 and 3x+4y=65.

PSYCHO15rus [73]

Step-by-step explanation:

$\sf 2x-y-3=0\dots \dots (1)$

$\sf 3x+4y=65 \\ \implies\sf 3x+4y-65=0 \dots\dots(2)$

from eq (1)

${:}\longrightarrow$ $\sf 2x-y-3=0$

${:}\longrightarrow$ $\sf 2x-3=y$

${:}\longrightarrow$ $\sf y=2x-3 \dots\dots(3)$

Substitute the value in eq(2)

${:}\longrightarrow$ $\sf 3x+4y-65=0$

${:}\longrightarrow$ $\sf 3x +4 (2x-3)-65=0$

${:}\longrightarrow$ $\sf 3x+8x-12-65=0$

${:}\longrightarrow$ $\sf 11x-77=0$

${:}\longrightarrow$ $\sf 11x=77$

${:}\longrightarrow$ $\sf x={\dfrac {77}{11}}$

${:}\longrightarrow$ $\sf x=7$

Substitute the value in eq (3)

${:}\longrightarrow$ $\sf y=2x-3$

${:}\longrightarrow$ $\sf y=2 (7)-3$

${:}\longrightarrow$ $\sf y=14-3$

${:}\longrightarrow$ $\sf y=11$

$\therefore$ ${\underline{\boxed{\bf (x,y)=(7,11)}}}$

7 0

2 years ago

What is the domain of f(x) = 2^x?

hammer [34]

The given function has no undefined points nor domain constraint. Thus, the domain is: $-\infty \: < x < \infty$ .

<h3>Domain and Range</h3>

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined. An example, there is a restriction for the domain of fractions. The variable x in the denominator should be different of zero.

While the domain is related to the values of x, the range is related to the possible values of y that the function can have.

In this question, the function $2^x$ has no undefined points nor domain constraint. Therefore, the domain is: $-\infty \: < x < \infty$