3 years ago

Solve this inequality. -5x + 7 42

1 answer:

4 0

The answer is either x>-7 or x<-7 I think it is the first one but I haven’t done these in a while so I forget when to switch the signs

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If the line joining (3x, x+1) and (11,12) has a slope of 4 what is the value of x

Irina18 [472]

Answer:

x = 3

Step-by-step explanation:

$(3x,\: x +1)=(x_1, \:y_1)$

$(11,\: 12)=(x_2, \:y_2)$

$slope = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ 4 = \frac{12 - (x + 1)}{11 - 3x} \\ \\ 4 = \frac{12 - x - 1}{11 - 3x} \\ \\ 4 = \frac{11 - x}{11 - 3x} \\ \\ 4(11 - 3x) = 11 - x \\ \\ 44 - 12x = 11 - x \\ \\ 44 - 11 = 12x - x \\ \\ 33 = 11x \\ \\ x = \frac{33}{11} \\ \\ \huge \red{ \boxed{x = 3}}$

4 0

3 years ago

1. Which equation represents a linear function?

KATRIN_1 [288]

Answer:

A, B, D are equations representing a linear function

Step-by-step explanation:

All linear functions have an equation like the following: y=mx+b, where m is the slope and b is an offset.

A. y=x-4, m=1 and b=-4

B. y=x+4, m=1 and b=4

D. y=x+7, m=1 and b=7

The third eq dont behave like a linear function since there is quadratic term on one side of the equation, this is not a linear function

5 0

3 years ago

If ( f ∘ g)(x) = x2 - 6x + 8 and g(x) = x - 3, what is f(x)?

DochEvi [55]

$\bf \begin{cases}
(f\circ g)(x)=x^2-6x+8\\\\
(f\circ g)(x)=f(~~g(x)~~)\\\\
g(x)=x-3\\
\end{cases}
\\\\\\
\textit{now, one probability is }x^2-1
\\\\\\
f(x)=x^2-1\implies f(~~g(x)~~)=(x-3)^2-1
\\\\\\
f(~~g(x)~~)=(x^2-6x+9)-1\implies f(~~g(x)~~)=x^2-6x+8$