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Vladimir [108]
3 years ago
15

A 2 month member ship to the gym costs $125.Jim Jim would like to be a member for eight months what is the total amount he will

pay for eight months
Mathematics
1 answer:
Bumek [7]3 years ago
8 0
Steps:

125 divided by 2 (to find the cost for one month) ans: $62.50

Then you multiply $62.50 times 8 to find the total cost for 8 months ans: $500.00

I hope this helped
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If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____
Sauron [17]
<h2>Answer:</h2>

2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)

So we need to find two things:

2\vec{v}-6\vec{u}

and:

||2\vec{v}-6\vec{u}||

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}

SECOND:

If we name:

\vec{w}=2\vec{v}-6\vec{u}

Then, ||2\vec{v}-6\vec{u}|| is the magnitude of the vector \vec{w}. Therefore:

||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}

5 0
3 years ago
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Identify a counter example for the following conditional:
ira [324]
The answer is C. Jonah Lincoln lives in Springfield, Illinois


5 0
3 years ago
What function equation is represented by the graph?
Ahat [919]

In the given graph, lets mark two points:

Let A = (0,-3) and B = (4,-2)

The slope of the line is given by:

m = \frac{(-2)-(-3)}{(4)-(0)}

m = \frac{-2+3}{4}

m = \frac{1}{4}

The equation of the line is given by:

(y-y_1)=m(x-x_1)

(y-(-3))=(\frac{1}{4})(x-0)

4(y+3)=x

4y+12=x

4y=x-12

y= \frac{1}{4}x-3

Therefore, the function equation represented by the graph is: f(x)= \frac{1}{4}x-3

5 0
3 years ago
What is the answer to this?
nekit [7.7K]

Answer:

Up

Step-by-step explanation:

Y= 1x^2 + 3x + 9

Y= Ax^2 + Bx + C

To determine which way a parabola opens just look at the coefficient (the number) of the x^2 - Always use the coefficient that is beside the x^2

So,  if the coefficient A is positive the parabola is opening upward

      if the coefficient A is negative the parabola is opening downward

7 0
2 years ago
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....<br>..................... need help​
likoan [24]
Are u supposed to answer
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3 years ago
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