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dlinn [17]
3 years ago
14

Find the x- and y-intercepts for 3x-2y = 24

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0
X-intercept: (8,0)
Y-intercept:(0,-12)
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Tim has $20 to buy snacks for 12 people in an office. Each person will get one snack. Tim is buying bags of pretzels that cost $
Greeley [361]

Answer:

  8 bags of pretzels

Step-by-step explanation:

Let x represent the number of bags of pretzels Tim buys. We assume he spends exactly $20 on exactly 12 bags of snack food. Then his purchase is ...

  1.50x + 2.00(12-x) = 20.00

  -0.50x +24.00 = 20.00 . . . eliminate parentheses, collect terms

  -0.50x = -4.00 . . . . . . . . . . .subtract 24

  x = 8 . . . . . . . . . . divide by -0.50

Tim will buy 8 bags of pretzels.

4 0
3 years ago
An electronics store has marked the price of a certain game at 230% of their cost. If their cost is $15.00, how much does the ga
Ber [7]
I multiplied $15 by 230% and then added my answer(which was 34.5) because subtracting it wasn't an option and got $49.50
3 0
3 years ago
Read 2 more answers
A store wants to print flyers to a advertise its grand opening.A printer will charge $50 and 0.05 per flyer.If the store has a b
Kamila [148]

So it can be

x=number of flyers

50+0.05x=100

0.05x=50

x=1000 flyers


Hope this helps

7 0
3 years ago
What is the rate of change of equation x=9
Delicious77 [7]
Erm..

9 I guess..

Good luck?
5 0
2 years ago
Find all unit vectors that are orthogonal to the vector u = 1, 0, −4 .
KIM [24]

Answer:

Step-by-step explanation:

Given:

u = 1, 0, -4

In unit vector notation,

u = i + 0j - 4k

Now, to get all unit vectors that are orthogonal to vector u, remember that two vectors are orthogonal if their dot product is zero.

If v = v₁ i + v₂ j + v₃ k is one of those vectors that are orthogonal to u, then

u. v = 0                    [<em>substitute for the values of u and v</em>]

=> (i + 0j - 4k) . (v₁ i + v₂ j + v₃ k)  = 0               [<em>simplify</em>]

=> v₁ + 0 - 4v₃ = 0

=> v₁ = 4v₃

Plug in the value of v₁ = 4v₃ into vector v as follows

v = 4v₃ i + v₂ j + v₃ k              -------------(i)

Equation (i) is the generalized form of all vectors that will be orthogonal to vector u

Now,

Get the generalized unit vector by dividing the equation (i) by the magnitude of the generalized vector form. i.e

\frac{v}{|v|}

Where;

|v| = \sqrt{(4v_3)^2 + (v_2)^2 + (v_3)^2}

|v| = \sqrt{17(v_3)^2 + (v_2)^2}

\frac{v}{|v|} = \frac{4v_3i + v_2j + v_3k}{\sqrt{17(v_3)^2 + (v_2)^2}}

This is the general form of all unit vectors that are orthogonal to vector u

where v₂ and v₃ are non-zero arbitrary real numbers.

3 0
3 years ago
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