Answer:
57/4
Step-by-step explanation:
Multiply it out and collect terms.
y = (x - 3)² + 36
y = (x² -6x +9) +36
y = x² -6x +45
The total number of arrangements for all of them to be women is:
C(7, 4) because the order does not matter; we'd still have the same arrangements.
Now, we can simplify this:




Now, the total number of arrangements, without restriction, is simply: C(12, 4) because we don't care who we pick.
1.y-4.90 = 2.4(x-1) 2. 24x-10y= -25
Step-by-step explanation:
The point-slope form of an equation is written as ;
y-y₁ = m(x-x₁) where the focus is on the slope of the line and a point on the line.
In this case, y-4.90 = 2.4(x-1)
The standard form an equation is written as :
Ax+By=C ,where x and y are variables and A,B and C are integers.
In this case; 24x-10y= -25
Learn More
Point-slope intercept form of an equation; brainly.com/question/11016508
Keywords :point-slope, standard form, equation
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Answer:
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- A quadratic equation is given to us.
- The equation is 2x² + 7x +6=0
And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,
<u>Given </u><u>equation</u><u> </u><u>:</u><u>-</u>
Step 1: <u>Find</u><u> out</u><u> the</u><u> </u><u>factors</u><u> </u><u>of </u><u>1</u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>
We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .
- And 3 + 4 = 7. So we will break the middle term into 3x and 4x .
Step 2 :<u> Breaking</u><u> the</u><u> </u><u>middle</u><u> term</u><u> </u><u>:</u><u>-</u><u> </u>
Step 3: <u>Take </u><u>out </u><u>common</u><u> </u><u>from </u><u>terms </u><u>:</u><u>-</u>
Step 4 : <u>Equate </u><u>them </u><u>with </u><u>0</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Hence </u><u>the</u><u> </u><u>correct</u><u> </u><u>options </u><u>are </u><u>C </u><u>and </u><u>D </u><u>.</u>