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Katena32 [7]
3 years ago
9

What is 1/3 (5x+1)= -2

Mathematics
1 answer:
pychu [463]3 years ago
5 0

Answer:

\large\boxed{x=-\dfrac{7}{5}=-1.4}

Step-by-step explanation:

\dfrac{1}{3}(5x+1)=-2\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\!\!\diagup_1}(5x+1)=(3)(-2)\\\\5x+1=-6\qquad\text{subtract 1 from both sides}\\\\5x+1-1=-6-1\\\\5x=-7\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{-7}{5}\\\\x=-\dfrac{7}{5}

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What key features are necessary and how they can be used to create the sketch of a polynomial function?
Tomtit [17]

The key features of polynomials are the vertex, axis of symmetry, x and y intercepts.

 

<span>1.    </span>The degree will help you find the end behavior.

<span>2.     </span>The vertex shows you where it changes concavity.

<span>3.     </span>X and y intercepts give you a couple of points of reference.

<span>4.     </span>Axis of symmetry is only applicable to even degree polynomials.

 

I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

4 0
2 years ago
5) Find the equation of the line going through the point (4,1) and<br> perpendicular to y = - 3x +7
vovangra [49]

Answer:

3y=x-1 OR y=⅓x-⅓

Step-by-step explanation:

Lets call the equation y=-3x+7 line l1

the other line passing through (4,1) l2

If two lines are perpendicular,then the product of their roots=-1

That is m(l1)×m(l2)=-1

Slope of l1=-3 therefore slope of l2=-1÷-3=⅓

Now that we have determined the slope of l2 we move on to find it's equation using the point-slope form

y-y1=m(x-x1)

y-1=⅓(x-4)

3y-3=x-4

3y=x-4+3

3y=x-1 OR y=⅓x-⅓

6 0
3 years ago
You start out with $20 and then spend money in a store where every item is $3. Y = -3x + 20.
hodyreva [135]

D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Last year a banquet hall charged $65 per person to attend a function. The function C(p) = 65p represents the total cost, C, to r
zlopas [31]

Answer:

Domain = [0, 50]

Range   = [0, 3250]

Step-by-step explanation:

A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.

The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).

In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.

Since the hall can hold a total of 50 people, the domain of the function = [0, 50]

C(0) = 65(0) = 0, C(50) = 65(50) = 3250

Hence, the range of the function = [0, 3250]

8 0
2 years ago
Yolanda makes wooden boxes for a crafts fair. She makes 300 boxes like this one shown, and she wants to paint all the outside fa
Effectus [21]

Answer:

240

Step-by-step explanation:

that is it

3 0
2 years ago
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