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3 years ago

Make x the subject of h = 4(x + 3y) + 2 Plz help

Mathematics

1 answer:

wlad13 [49]3 years ago

5 0

Answer:

$x=\frac{h}{4}-3y-\frac{1}{2}$

Step-by-step explanation:

This equation has "h" as the subject. Now, making "x" the subject means to use algebra and re-arrange the equation so we have "x = SOMETHING".

First, we will use distributive property on the RHS of the equation. The distributive property is:

$a(b+c)=ab+ac$

So, we have:

$h=4(x+3y)+2\\h=4x+12y+2$

Since we want "x" as the subject, we put "x" term on one side and everything else on another and solve for x. Shown below:

$h=4x+12y+2\\4x=h-12y-2\\x=\frac{h-12y-2}{4}\\x=\frac{h}{4}-3y-\frac{1}{2}$

This is the answer.

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How to divied and multiply fraction but in word problems

suter [353]

You have to use the keywords that register to the problem

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3 years ago

Find the quation of the quadratic function with roots 0 and 4 and a vertex at (2,-2)

Nookie1986 [14]

Answer:

y = (1/2)x² -2x

Step-by-step explanation:

recall that the general equation of a quadratic function is:

y = Ax² + Bx + C

given that 0 and 4 are roots, that means when x = 0 and x = 4, then y = 0

From this we can get 2 points on the curve, namely, (0,0) and (4,0)

substituting these points one at a time into the equation above,

for the first point (0,0),

0 = A (0)² + b(0) + C

C = 0

hence the equation becomes: y = Ax² + Bx

for the 2nd known point (4,0)

0 = A(4)² + B(4)

0 = 16A + 4B (divide both sides by 4)

0 = 4A + B

B = -4A ------------(eq 1)

we are given a 3rd point, vertex at (2,-2)

for (2,-2)

-2 = A(2²) + B(2)

-2 = 4A + 2B (divide both sides by 2)

-1 = 2A + B (subtract 2A from both sides)

B = -1 -2A --------(eq 2)

solving the system of equations using the method of your choice in eq1 and eq 2 gives:

A = 1/2 and B = -2

hence the equation is

y = (1/2)x² -2x

7 0

3 years ago

Evaluate x^0+ y^0 for x = 3 and y = 2.<br> 0<br> 1 5 2

stiks02 [169]

Answer:

Step-by-step explanation:

x^0+ y^0

Let x = 3 and y = 2

3^0 + 2^0

Raised to the 0 power is 1

1 + 1

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3 years ago

ASAP. Can someone help me find the percentage of these please, I can't figure it out. (Pic below)

atroni [7]

Answer:

Interphase: 55.56%

Prophase: 27.78%

Metaphase: 8.33%

Anaphase: 5.56%

Telophase: 2.78%

Step-by-step explanation:

All you need to do is follow the instructions. To get the percentage, all you need to do is divide the part by the whole then multiply it by 100%.

$\dfrac{Part}{Whole}\times 100\%$

Now let's take your problem:

Number of cells in interphase:

20 this is the part and the whole would be the total cells, which is 36. Now we insert that into our equation:

$\dfrac{20}{36}\times 100\%=0.5556\times100\%=55.56\%$

So now we apply the same to the rest:

Prophase:

$\dfrac{10}{36}\times 100\%=0.2778\times100\%=27.78\%$

Metaphase:

$\dfrac{3}{36}\times 100\%=0.0833\times100\%=8.33\%$

Anaphase:

$\dfrac{2}{36}\times 100\%=0.0556\times100\%=5.56\%$

Telophase:

$\dfrac{1}{36}\times 100\%=0.0278\times100\%=2.78\%$

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3 years ago

How can you put 32.3 as a mixed number in the simplest form

ludmilkaskok [199]

32.3 is a decimal number in which 3 is the digit at the tenth place.

Mixed number contains a whole number and a fraction part.

32.3 expressed as mixed fraction is $32\frac{3}{10}$ , here 32 is the whole number and $\frac{3}{10}$ is the fraction part.

$\frac{3}{10}$ is the fraction in the simplest form.

For this reason, 32.3 expressed as a mixed number in the simplest form is $32\frac{3}{10}$ .

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3 years ago