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svetoff [14.1K]
3 years ago
7

What is the value of -3(15-s)+2s^2 when s=-3PLEASE ANSWER QUICKLY!!!!!

Mathematics
1 answer:
harina [27]3 years ago
7 0

Answer:

-36

Step-by-step explanation:

1. Plug -3 into the equation given: -3(15-(-3)+2(-3)^2

2. Use Pemdas and first distribute the negative to negative three then distribute -3 to the rest of the parenthesis (final answer): -45-9 +2(-3)^2

3. Then put -3 to the power of 2 (which is 9) then multiply it by 2 (final answer): -45-9+18

4. Combine all like terms and you get the answer -36!

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What is the most precise name for a quadrilateral with the following vertices:
pashok25 [27]
<h2>Therefore it is a parallelogram.</h2>

Step-by-step explanation:

Given the vertices of the quadrilateral are  A(2,3) , B(7,2), C(6,-1) and D(1,0)

The length of AB is =\sqrt{(2-7)^2+(3-2)^2}   =\sqrt{26} units

The length of BC is =\sqrt{(7-6)^2+(2+1)^2}  =\sqrt{10} units

The length of CD is =\sqrt{(6-1)^2+(-1-0)^2} =\sqrt{26} units

The length of DA is  =\sqrt{(1-2)^2+(0-3)^2} =\sqrt{10} units

The length of AC is =\sqrt{(2-6)^2+(3+1)^2} =4\sqrt{2} units

The length of BD is =\sqrt{(7-1)^2+(2-0)^2} = 2\sqrt{10} units

Here length of AB = length of CD ,

length of BC= length of DA and

length of AC ≠ length of BD

In this quadrilateral, the opposite sides are equal but the diagonals are not equal

Therefore it is a parallelogram.

3 0
3 years ago
The prior probabilities for events A1 and A2 are P(A1) = 0.30 and P(A2) = 0.55. It is also known that P(A1 ∩ A2) = 0. Suppose P(
k0ka [10]

We're given the following probabilities:

P(A_1)=0.30

P(A_2)=0.55

P(A_1\cap A_2)=0

P(B\mid A_1)=0.20

P(B\mid A_2)=0.05

(a) Yes, A_1 and A_2 are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.

(b) Use the definition of conditional probability to expand:

P(A_1\cap B)=P(A_1)P(B\mid A_1)=0.30\cdot0.20=0.06

P(A_2\cap B)=P(A_2)P(B\mid A_2)=0.55\cdot0.05=0.0275

(c) By the law of total probability,

P(B)=P(A_1\cap B)+P(A_2\cap B)=0.06+0.0275=0.0875

(d) Bayes' theorem says

P(A_1\mid B)=\dfrac{P(A_1)P(B\mid A_1)}{P(B)}=\dfrac{0.30\cdot0.20}{0.0875}\approx0.686

P(A_2\mid B)=\dfrac{P(A_2)P(B\mid A_2)}{P(B)}=\dfrac{0.55\cdot0.05}{0.0875}\approx0.314

3 0
3 years ago
Use synthetic division to divide x^3+5x^2−9x−7 by x−2 1 5 -9 -7 The quotient is: _____ The remainder is: ______
RoseWind [281]

Answer:

 The quotient is x² + 6x +3

       Remainder  = -1      

 Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given Polynomial equation

   f(x) = x³+5x²−9x−7

By using synthetic division

 

 <em> x = 2  </em>         1       5       -9      -7

   <u>                   0       1       12     6</u>

  <u>                 1      6         3     </u><em><u> -1   </u></em><u>         </u>

 The quotient is x² + 6x +3

       Remainder  = -1      

5 0
3 years ago
HELP!
yarga [219]
It is translation so Nora is right
5 0
3 years ago
Read 2 more answers
Help please ASAP<br> thanks!
ludmilkaskok [199]
A. 55%
because you have to add 21 and 45 then you divide the answer -66- by how much 2 hours is in minutes. The you get 0.55, so it equals 55% 
7 0
3 years ago
Read 2 more answers
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