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ch4aika [34]
3 years ago
15

What are the zeros of f(x)=x^2-12+36

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0

Answer:

x = 6

Step-by-step explanation:

I think it's supposed to be

y = x² - 12x + 36

Set the equation equal to zero and solve...

0 = x² - 12x + 36

Now factor.  What 2 numbers add to -12, and multiply to 36?

-6 and -6, so our factors are

0 = (x - 6)(x - 6)

So

0 = x - 6, then

6 = x

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1.) Natalie is a lab technician and earns $10.65 per hour. What are her wages for 40 Hours?
Contact [7]

Answer:

Add

Step-by-step explanation:

10.65*40=426

426+50=476

5 0
3 years ago
Elyse has $18 on a gift card that she can use to rent movies online. The graph at the right shows the amount of money remaining
blsea [12.9K]

Answer:

see the explanation

Step-by-step explanation:

The complete question in the attached figure

Let

x ----> the number of movies

y ----> the amount of money remaining on her gift card

we know that

The slope of the linear equation is equal to the unit rate

take two points from the graph

(0,18) and (2,12)

Find the slope

m=(12-18)/(2-0)

m=(-6)/(2)=-\$3\ per\ movie ---> is negative because is a decreasing function

That means -----> Each movie she rents cost her $3, so her  gift card balance will decrease $3 for every movie rented

The linear equation is equal to

y=-3x+18

For y=0

0=-3x+18

x=6

so

6 is the maximum number of movies that Elyse can rent on line

6 0
3 years ago
How do you add vectors? Add the vector <3,4> to the vector that goes 7 units at an angle of 2π/3.
lawyer [7]

Answer:

The sum of the two vectors is the vector <-0.5 , 4+3.5\sqrt{3} >

Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф

The vector is <b cos Ф , b sin Ф>

∵ The vector goes 7 units at an angle \frac{2\pi }{3}

- That means its magnitude is 7 and its direction is  \frac{2\pi }{3}

∴ x = 7 cos(  \frac{2\pi }{3} )

∴ y = 7 sin(  \frac{2\pi }{3} )

∵ cos(  \frac{2\pi }{3} ) =  -\frac{1}{2}

∵ sin(  \frac{2\pi }{3} ) =  \frac{\sqrt{3}}{2}

- Substitute them in x and y

∴ x = (7)( -\frac{1}{2} )

∴ x = -3.5

∴ y = (7)( \frac{\sqrt{3}}{2} )

∴ y = 3.5\sqrt{3}

∴ The vector is <-3.5 , 3.5\sqrt{3}>

Now lets add the vectors by adding xs and ys components

∵ <3 , 4> + <-3.5 , 3.5\sqrt{3} > = <3 + -3.5 , 4 + 3.5\sqrt{3} >

∴  <3 , 4> + <-3.5 , 3.5\sqrt{3}> = <-0.5 , 4+3.5\sqrt{3} >

∴ The sum of the two vectors is the vector <-0.5 , 4+3.5\sqrt{3} >

5 0
3 years ago
How much money do I spend if 75%off for an item that's 1.23
stira [4]
If an item cost 1.23 and you get 75% off the item costs $0.92
3 0
3 years ago
Read 2 more answers
Can someone help me with this, thank you!
Arte-miy333 [17]
I scanned it with an answer finder! Hope this helps

7 0
3 years ago
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