MATHEMATICS HIGH SCHOOL

NEED HELP NOW!! Will give 20 extra PTS to the best answercomplete the solution of the equation. Find the value of y when x equals -8.
4x + 9y = -14

Answers

Answer 1
Answer: To find the value of y, you need to plug a value into the x variable, in this case -8.

     4x + 9y = -14     Substitute -8 for x
4 (-8) + 9y = -14     Multiply
   -32 + 9y = -14     Start isolating the variable by adding 32 to both sides
            9y = 18      Divide both sides by 9
              y = 2

When x = -8, y = 2

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A book is marked down by 28 percent from an original price of $19.50. What is the new price?

Answers

Answer: The new price of the book = $14.04

Step-by-step explanation:

We are given that, the original price of book = $19.50

Price marked down by 28 percent, that means the original price of the book was decreased by 28%.

Also, 28%= 0.28  [we divide % by 100 to convert it into decimal]

Then , the new price is given by :-

New price = (Original price) - ( Marked down percentage)  x (Original price)

= ($19.50)- (0.28) ($19.50)

= ($19.50)(1-0.28)

= ($19.50) (0.72)

= $14.04

Therefore , the new price of the book = $14.04
First find 28% of $19.50:

($19.50) / (100) x (28) = $5.46

Now minus the 285 from the original price:

($19.50) - ($5.46) = $14.04

The answer is $14.04
Hope it helped :)

Verify the identity. Show your work.

(1 + tan2u)(1 - sin2u) = 1

Answers

I assume you mean (1 + tan^2u)(1 - sin^2u) = 1 so I solved it like that 

because tanu = sinu / cosu ⇒ tan^2u = sin^2u / con^2u

(1 + sin^2u/cos^2u)(1 - sin^2u) =
(cos^2u/cos^2u + sin^2u/cos^2u)(1 - sin^2u) =
((cos^2u + sin^2u)/(cos^2u)) (1 - sin^2u) =

and because cos^2u + sin^2u = 1 we'll have

(1/(cos^2u)) (1 - sin^2u) =
1/(cos^2u) - sin^2u/(cos^2u) =
(1 - sin^2u) / (cos^2u) =

notice that 1 - sin^2u is equal to cos^2u

cos^2u / cos^2u = 1

Jonathan has a collection of 400 marbles. Blue marbles make up 17%, percent of his collection. How many blue marbles does Jonathan have?

Answers

17% of 400
percent means parts ou of 100
17%=17/100
'of' means mutiply

17/100 tiems 400=4*17=68

68 blue marbles
To find any percentage of something, just multiply the whole value by the percentage of whatever you're trying to find the value of. 
17% converted to a decimal is 0.17. 400*0.17 = 68.
Jonathan has 68 blue marbles in his collection.
Hope that helped you!

Is it right The question
The function f(t) = t2 + 4t − 14 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)

Part C: Determine the axis of symmetry for f(t). (2 points)

Answers

f(t) = t2 + 4t − 14

 

y + 14 + 4 = ( t2 + 4t +4)

y + 18 = ( t + 2)^2

 

so the vertex of the parabola is ( -2 , -18)

 

the axis of symmetry is y = -18

How are expressions and equations different

Answers

 An "equation" has a left side, a right side and an equals sign separating the sides. An "expression," by contrast, doesn't have any "sides" and is simply what the name suggests: An algebraic "expression."
Expressions have no equal sign, while equations have equal signs. 

Simplify
34 + |18 = -9| × -5.

Answers

Answer:

-11

Step-by-step explanation:

Calculate the absolute value of -9, which is 9.

Multiply 9 by -5, which equals -45.

Finally, add 34 to -45:

34 + (-45) = -11

So, the simplified expression is -11.
Answer:

= -101

step by step explanation:

Calculate the absolute value first:

|18 - (-9)| = |18 + 9| = |27| = 27

Now, we have:

34 + (27 × -5)

Perform the multiplication:

27 × -5 = -135

Finally, add 34 to -135:

34 - 135 = -101

So, the simplified expression is -101

I hope this will help too.
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