Solve 7x+6<3(x - 2).

Mathematics

1 answer:

lawyer [7]3 years ago

4 0

Answer:

x<−3

Step-by-step explanation:

hope this works

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Which ordered pair is generated from the equation shown below? y = 2x + 4 A. (1, 6) B. (1, 2) C. (3, 6) D. (8, 16)

USPshnik [31]

Answer:

The ordered pair generated from the equation is (1, 6).

Step-by-step explanation:

An ordered pair is a pair of numbers, representing two variables, in a specific order. For instance, (x, y) = (1, 2) here x = 1 and y = 2.

The equation provided is:

$y=2x+4$

Check for all the options:

A (1, 6): $y=2x+4\Rightarrow\ 6=(2\times 1) +4\Rightarrow\ 6=6$
B (1, 2): $y=2x+4\Rightarrow\ 2=(2\times 1) +4\Rightarrow\ 2\neq 6$
C (3, 6): $y=2x+4\Rightarrow\ 6=(2\times 3) +4\Rightarrow\ 6\neq10$
D (8, 16): $y=2x+4\Rightarrow\ 16=(2\times 8) +4\Rightarrow\ 16\neq20$

Thus, the ordered pair generated from the equation is (1, 6).

8 0

3 years ago

What us the slope of this line

KIM [24]

Answer:

slope = $\frac{1}{2}$

Step-by-step explanation:

Calculate slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = $\frac{0-(-2)}{4-0}$ = $\frac{0+2}{4}$ = $\frac{2}{4}$ = $\frac{1}{2}$

6 0

2 years ago

Find the complex zeros of x^3+27. write f in factored form

aliina [53]

$x^3+27=0
\\x^3+3^3=0
\\(x+3)(x^2-3x+9)=0
\\x^2-3x+9=0
\\a=1,b=-3,c=9
\\
\\x_{1,2}= \frac{-b\pm \sqrt{b^2-4ac} }{2a} = \frac{-(-3)\pm \sqrt{(-3)^2-4\times1\times9} }{2\times1} =\frac{3\pm \sqrt{-27} }{2} =\frac{3\pm 3\sqrt{3}i }{2} 
\\
\\(x+3)(x-\frac{3+ 3\sqrt{3}i }{2})(x-\frac{3- 3\sqrt{3}i }{2})=0

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