Evaluate the expression when p = 9.3 and q = –2.1.p – 3q
a. 15.6
b. 3.0
c. –13.2
d. –15.6
My answer is D

Answers

Answer 1
Answer: p – 3q 
= 9.3 - 3 X -2.1 
= 9.3 + 6.3
= 15.6 ....

i think the answer is  A ......

hope am right !!!

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Which number satisfies the inequality 9h + 15 > 55?

Answers


When you say "Which number ...", I expect to see a list of choices at the
end of the question, and I get very upset when there's nothing there.

                                            9h + 15 > 55

Subtract  15  from each side:          9h > 40

Divide each side by  9 :                    h > 40/9

Any number greater than (4 and 4/9) satisfies the inequality.


9h + 15 > 55
      - 15 - 15
         9h > 40
          9      9
           h > 4⁴/₉

The solution set is equal to (4⁴/₉, ∞).

Y = x + 1
    3x + y = 21

Answers

y=x+1
3x+y=21
-----------
-x+y=1
3x+y=21

First do this. Change one (or both) of the equations so that the x and y are on one side, and the number is on the other. Make sure either the x or the y is the same in both equations (in this case, y) and then take one away from the other. The y will cancel out so you can work out x.

3x+y=21 -
-x+y=1
-----------
4x = 20
x = 5

Then add the x into one of the two equations to find out y.

3x + y = 21
(3*5) + y = 21
15 + y = 21
y = 6

To check, put both x any y into the other equation.

-5 + 6 = 1

If the answer is correct, you have correctly solved the equations.

x = 5
y = 6

:D

\left \{ {{y=x+1} \atop {3x+y=21}} \right.\ \ \ Using\ substitution\ method\n\n 3x+x+1=21\n 4x=20\ \ |:4\n x=5\n y=6

Which is greater 16.45 or 16.454

Answers

16.454 is greater. If you write the full numbers in the thousandths column, 16.45 is 16.450. It can be clearly seen that 16.454 is greater by 4 thousandths.

Find the exact Solution of x.x^2 = 16

A)x = 4
B)x = -4
C)x = ±4
D)No Solution

Answers

x^(2) = 16

First, take the square root to both sides. 
x = ±√(16)
Second, now we have 4 × 4 which is 16, meaning the square root of 16 is 4. 
x = ±4
Third, there are two solutions. 
-4 \n and \n 4
Fourth, since we have two values, it is reasonable to use the plus-minus sign to indicate there is a positive and a negative solution.

Answer: C) x = ±4

x^2 = 16
x = √16
x = 4.
so the answer is A. x = 4.

Mauritius island is 2 km due south of its closest point along a straight coastline. Gibril is staying at a private room on the shore that is 6 km east of that point. Gibril is planning to go from the room to the island. Suppose Gibril runs at a rate of 8 kmph and swims at a rate of 3 kmph. How far should Gibril run before swimming to minimize the time it takes to reach the island?

Answers

Answer:

5.19 Km

Step-by-step explanation:

According To the Question,

Suppose he Runs Xkm before swimming to minimize the time it takes to reach the island .

So, he should swim \sqrt{2^(2)+(6-X)^(2)  } Km .

Now The Total Time is t = (X)/(8) + \frac{\sqrt{2^(2)+(6-X)^(2)  } }{3} .

t = (X)/(8) + \frac{\sqrt{X^(2)-12X+40  } }{3}

(dt)/(dX)=1/8 + 1/3 * 1/2 * \frac{2X-12}{\sqrt{X^(2)-12X+40 } }

(dt)/(dX)=1/8 + (1)/(3)  * \frac{X-6}{\sqrt{X^(2)-12X+40 } }

Now Put (dt)/(dX) = 0 , we get

1/8 + (1)/(3)  * \frac{X-6}{\sqrt{X^(2)-12X+40 } } = 0

(1)/(3)  * \frac{X-6}{\sqrt{X^(2)-12X+40 } } = - (1)/(8)

8(X-6)= -3 × {\sqrt{X^(2)-12X+40 }

square on both side,We get

64(X²-12X+36) = 9X² - 108X +360

55X² -660X + 1944 = 0

Apply Shri Dharacharya formula, To Find The Value of 'X'

X =[ - (-660) ±\sqrt{(-660)^(2)-4*55*1944 }  ] ÷ 2×55

X = (660±√7920) / 110

X= (660 - 89 ) / 110  ⇒ (Neglect '+' because it give 749/110 = 6.8 km Which is not possible )

X=571/110 ⇔ 5.19km he Should Run before swimming to minimize the time .

(For Diagram,Please Find In Attachment)

Solve 2x(28+2x)+2(12x)=86 using quadratic formula

Answers

Answer:86

Step-by-step explanation:

1 simplfy  

2 use quadratic formula

3 simplfy again

do all the step then u will find you answer