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2 years ago

X = 5y/(z-4y) make y subject

Mathematics

1 answer:

Margarita [4]2 years ago

3 0

Answer:

y=2x/5-4x

Step-by-step explanation:

multiply z-4y on both sides,match the Ys together and then make y common

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Solve for x 73 =(9/10x)+19

Yuliya22 [10]

$73=(\frac{9}{10}x)+19$

To solve x:

1. Substract 19 in both sides of the equation:

$\begin{gathered} 73-19=(\frac{9}{10}x)+19-19 \\ \\ 54=\frac{9}{10}x \end{gathered}$

2. Multiply both sides of the ewuation by 10/9:

$\begin{gathered} 54\cdot\frac{10}{9}=\frac{9}{10}x\cdot\frac{10}{9} \\ \\ \frac{540}{9}=x \\ \\ 60=x \end{gathered}$ <h2>Then, the value of x is 60 (x=60)</h2>

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11 months ago

The sum of the first 5 terms of an AP is 30 and the sum of the four term from T6 to T9 (inclusive) is 69. Find the AP

Ainat [17]

Answer: The AP = 1, ⁷/₂, 6, ¹⁷/₂, 11 ..............

Step-by-step explanation:

From the first statement,

S₅ = ⁵/₂(2a + ( n - 1 )d } = 30

5(2a + 4d )d = 60

10a + 20d = 60

reduce to lowest term to easy calculation by dividing through by 10

a + 2d = 6 -----------------------------------1

second statement

sum of the next 4 terms inclusive

T₉ = ⁹/₂(2a + 8d ) = 69

9(2a + 8d ) = 30 + 69

18a + 72d = 99 x 2

18a + 72d = 198

divide through by 18 to reduce to lowest time

a + 4d = 11 ------------------------------------------2

Now solve the two equation simultaneously to find a and d

a + 2d = 6

a + 4d = 11

-2d = -5

d = ⁵/₂.

Now substitute for d to get a

a + 2(⁵/₂) = 6

a + 5 = 6

a = 6 - 5

a = 1.

Therefore the AP = 1 , ⁷/₂ , 6 , ¹⁷/₂ , 11 , ..............

7 0

3 years ago

NEED HELP ASAP‼️‼️Most states require students to pass an algebra course in order to graduate high school. Why do you this this

julia-pushkina [17]

I think because the state wants people to have a certain amount of knowledge at least thats what i think

I dont agree with them because they teach us (in my opinion) unnecessary math like with a bunch of symbols which is just too much its all extra

5 0

3 years ago

Does anybody know a rule that will work for all of these?

Alik [6]

y = something x plus or minus a number

going through each line it isn't a linear pattern ( they don't all have the same difference when subtracted or added together)

so now you play around with quadratic equations ( square roots, powers, etc.)

and you will see that y = x^2 -5

5 0

3 years ago

Giving brainliest, please help out with steps if possible! thanks (:

Ad libitum [116K]

A] Vertex form
Vertex form is given by:
y=(x-h)²+h0
where:
(h,k) is the vertex
Given that:
f(x)=x²-6x+13
The vertex will be evaluated as follows:
c=(b/2a)²
b=-6
thus
c=(-6/2*1)²=9
hence adding and subtracting 9 in the expression we get:
f(x)=x²-6x+9-9+13
f(x)=x²-6x+9+4
writing the above in vertex form we get
f(x)=(x-3)²+4

b] The minimum value of f(x) is at it's vertex. Thus from the function
f(x)=(x-3)²+4
the vertex is at (3,4)
hence the minimum value is at (3,4)

4 0

3 years ago