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Mice21 [21]
3 years ago
11

−3x>24 solve the inequality

Mathematics
2 answers:
Len [333]3 years ago
8 0

Answer:

x < -8

Step-by-step explanation:

−3x>24

Divide each side by negative 3, remembering to flip the inequality

-3x/-3 < 24/-3

x < -8

weeeeeb [17]3 years ago
3 0

Answer:

x<-8

Step-by-step explanation:

−3x>24

Multiply both sides by (-1) (reverse the inequality)

(-3x)(-1)<24(-1)

Simplify;

3x<-24

Divide both sides by 3

3x/3<-24/3

Simplify

3x/3<-24/3

Simplify; 3x/3

=x

Simplify; -24/3

Divide the numbers;24/3=8

=-8

x<-8

Hope this helped!!!

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Step-by-step explanation:

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Equation parallel to y = 3x + 2 and passing through (1, 1)
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Answer:

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Step-by-step explanation:

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with slope m = 3

Parallel lines have equal slopes, then

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To find c substitute (1, 1) into the partial equation

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Which one of the following is NOT true about the expression shown
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Answer:

A) The expression is a trinomial.

Step-by-step explanation:

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7 0
3 years ago
1. Let f(x, y) be a differentiable function in the variables x and y. Let r and θ the polar coordinates,and set g(r, θ) = f(r co
Olenka [21]

Answer:

g_{r}(\sqrt{2},\frac{\pi}{4})=\frac{\sqrt{2}}{2}\\

Step-by-step explanation:

First, notice that:

g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}cos(\frac{\pi}{4}),\sqrt{2}sin(\frac{\pi}{4}))\\

g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}(\frac{1}{\sqrt{2}}),\sqrt{2}(\frac{1}{\sqrt{2}}))\\

g(\sqrt{2},\frac{\pi}{4})=f(1,1)\\

We proceed to use the chain rule to find g_{r}(\sqrt{2},\frac{\pi}{4}) using the fact that X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta) to find their derivatives:

g_{r}(r,\theta)=f_{r}(rcos(\theta),rsin(\theta))=f_{x}( rcos(\theta),rsin(\theta))\frac{\delta x}{\delta r}(r,\theta)+f_{y}(rcos(\theta),rsin(\theta))\frac{\delta y}{\delta r}(r,\theta)\\

Because we know X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta) then:

\frac{\delta x}{\delta r}=cos(\theta)\ and\ \frac{\delta y}{\delta r}=sin(\theta)

We substitute in what we had:

g_{r}(r,\theta)=f_{x}( rcos(\theta),rsin(\theta))cos(\theta)+f_{y}(rcos(\theta),rsin(\theta))sin(\theta)

Now we put in the values r=\sqrt{2}\ and\ \theta=\frac{\pi}{4} in the formula:

g_{r}(\sqrt{2},\frac{\pi}{4})=f_{r}(1,1)=f_{x}(1,1)cos(\frac{\pi}{4})+f_{y}(1,1)sin(\frac{\pi}{4})

Because of what we supposed:

g_{r}(\sqrt{2},\frac{\pi}{4})=f_{r}(1,1)=-2cos(\frac{\pi}{4})+3sin(\frac{\pi}{4})

And we operate to discover that:

g_{r}(\sqrt{2},\frac{\pi}{4})=-2\frac{\sqrt{2}}{2}+3\frac{\sqrt{2}}{2}

g_{r}(\sqrt{2},\frac{\pi}{4})=\frac{\sqrt{2}}{2}

and this will be our answer

3 0
3 years ago
What is the starting point of this function
Finger [1]

the starting point of the function is 0

6 0
3 years ago
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