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Umnica [9.8K]
3 years ago
15

At what point does y = 3x -2 intercept :

Mathematics
1 answer:
bezimeni [28]3 years ago
5 0
Y axis= -2
x axis= 2/3
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N + M? N = 9.1 7.9 -2.4 0.2 -5.8 1.4 and M= 8.2 -0.6 -2.8 -1.8 -2.4 -6.1​
Ierofanga [76]

Answer:

N + M = \begin{pmatrix}17.3&7.3\\ -5.2&-1.6\\ -8.2&-4.7\end{pmatrix}

Step-by-step explanation:

\begin{pmatrix}9.1&7.9\\ -2.4&0.2\\ -5.8&1.4\end{pmatrix} +\begin{pmatrix}8.2&-0.6\\ -2.8&-1.8\\ -2.4&-6.1\end{pmatrix} =\begin{pmatrix}9.1+8.2&7.9-0.6\\ -2.4-2.8&0.2-1.8\\ -5.8-2.4&1.4-6.1\end{pmatrix}

Then

\begin{pmatrix}9.1&7.9\\ -2.4&0.2\\ -5.8&1.4\end{pmatrix} +\begin{pmatrix}8.2&-0.6\\ -2.8&-1.8\\ -2.4&-6.1\end{pmatrix} =\begin{pmatrix}17.3&7.3\\ -5.2&-1.6\\ -8.2&-4.7\end{pmatrix}

4 0
2 years ago
The supply curve for steel is 90x−y=−50. The demand curve is 10x+y=200. x is quantity in thousands of metric tons y is price in
ivolga24 [154]

Answer:

The intersection point of the two curves is (x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right).

Step-by-step explanation:

From statement we get the following equations:

Supply curve

90\cdot x - y = -50 (1)

Demand curve

10\cdot x + y = 200 (2)

Where:

x - Quantity, measured in thousands of metric tons.

y - Price, measured in US dollars per metric tons.

If we add both equations, then we find that quantity is:

(90\cdot x -y )+(10\cdot x +y) = -50+200

100\cdot x = 150

x = \frac{3}{2}\,kton.m

Then, we finally find the price by substituting on (2):

y = 200-10\cdot \left(\frac{3}{2} \right)

y = 200-15

y = 185\,USD

The intersection point of the two curves is (x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right).

5 0
3 years ago
Solve for X (8th Grade Math)
svetlana [45]

Answer:

X=10

Step-by-step explanation:

180-116=64

4x+7x+6+64=180

11x+70=180

11x=110

x=10

3 0
3 years ago
1. Gabriel has a candy box containing 9 chocolates candies and 12 lollipops. If he choose 2 of them at random.
adoni [48]

<u>Question</u> :

Gabriel has a candy box containing 9 chocolates candies and 12 lollipops. If he choose 2 of them at random.

a) What is the probability that he gets 2 lollipops?

b) What is the probability that he gets 2 chocolates?

c) What is the probability that he gets at least 1 lollipop and 1 chocolate?

<u>Answer</u>:

First we need to calculate the total no. of items. In this case it is the no. of chocolate candies + the no. of lollipops which is, 9 + 12 = <u>21</u>.

Now we can solve the questions.

a) P (2 lollipops) = <u>2/21.</u>

b) P (2 chocolates) = <u>2/21.</u>

c) P (at least 1 lollipop & 1 chocolate) = <u>2/21</u>.

Note : P(x) is read as probability of getting x is....

7 0
3 years ago
Read 2 more answers
What are the solutions to the nonlinear system of equations below? check all that apply
Arisa [49]
E. (1, -5)
f. (-1, 5)

This can be solved by substituting -5x for y in the second equation.
5 0
3 years ago
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