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Vika [28.1K]
3 years ago
9

Solve the simultaneous equation 2x + y= 6​

Mathematics
1 answer:
vivado [14]3 years ago
6 0

Answer:

x=1 y=4

Step-by-step explanation:

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If two marbles are randomly selected from the bag without replacement, what is the probability that the first marble is blue?
joja [24]

Answer:1,0.5, or 0 it depends

Explanation:

The probability that one event occurred depends on the total of random event, being 1 the most of the probabilities

If the two marbles are blue the probability to select a marble blue is 1

If one of the marbles is blue and the other marble is of any color the probability to select the blue marbles is:

P=1 - 1/2=1/2

Being 1/2 or 0.5 the answer

If any of the marbles are blue then the probabilities are 0

8 0
3 years ago
Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,ax
Ivan

Given:

The function is:

f(x)=-2x^2+7x+4

To find:

Express the quadratic equation in the form of f(x)=a(x-h)^2+k, then state the minimum or maximum value,axis of symmetry and minimum or maximum point.

Solution:

The vertex form of a quadratic function is:

f(x)=a(x-h)^2+k              ...(i)

Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.

We have,

f(x)=-2x^2+7x+4

It can be written as:

f(x)=-2\left(x^2-3.5x\right)+4

Adding and subtracting square of half of coefficient of x inside the parenthesis, we get

f(x)=-2\left(x^2-3.5x+(\dfrac{3.5}{2})^2-(\dfrac{3.5}{2})^2\right)+4

f(x)=-2\left(x^2-3.5x+(1.75)^2\right)-2\left(-(1.75)^2\right)+4

f(x)=-2\left(x-1.75\right)^2+2(3.0625)+4

f(x)=-2\left(x-1.75\right)^2+6.125+4

f(x)=-2\left(x-1.75\right)^2+10.125                ...(ii)

On comparing (i) and (ii), we get

a=-2,h=1.75,k=10.125

Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.

Maximum value = 10.125

Axis of symmetry : x=1.75

Maximum point = (1.75,10.125)

Therefore, the vertex form of the given function is f(x)=-2\left(x-1.75\right)^2+10.125, the maximum value is 10.125, the axis of symmetry is x=1.75 and the maximum point is (1.75,10.125).

8 0
3 years ago
Another teacher has a monthly salary of $2000 She spends $943 per month on rent Her monthly salary then increases by 15% What pe
Aleks04 [339]

Answer:

47.15%

Step-by-step explanation:

Getting a raise of 15% would increase the teacher's salary by 300. 943 of 2300 is 47.15%.

5 0
2 years ago
Mary runs 5 3\4 miles each day from Sunday through Tuesday.She takes Wednesday off. She then runs the same distance each day fro
Anna71 [15]

Answer:

Step-by-step explanation:

Can u give me thanks I need it so I can get 50 points plz

7 0
3 years ago
What is 184.24 to 4 significant figures
siniylev [52]
184.2 is the answer to 4 significant figure
4 0
2 years ago
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