Solve the equation below for y. 3x+4y=12

Answer:

y = 5/2x + 5

y = 5/2x - 9.5

Step-by-step explanation:

We need to solve for the y in the expresion of 2x + 5y = 25

[tex]2x + 5y = 25\\y = (25 - 2x)/5 \\y = 5 - 2/5x[/tex]

now we re-arrenge the factors in the form y = ax + b

y = -2/5x + 5

we reverse "a"

y = 5/2 + a

And now, we use a point in the other formula to solve for a:

original line:

y = 5 - 2/5x

X = 0 then Y = 5

now we solve for the general equation of the perpendicular equation:

[tex]y - y_1 = m ( x - x_1)[/tex]

[tex]y - 5 = 5/2 (x - 0)\\y = 5/2x + 5[/tex]

If we use a different point we get a different formula:

original line:

y = 5 - 2/5x

X = 5 then Y = 3

[tex]y - 3 = \frac{5}{2}(x - 5)\\y - 3 = \frac{5}{2}x -12.5 \\y = \frac{5}{2}x - 9.5[/tex]

An Image is attached to represent

Answer:

that will be 80 bacteria the next hour and just keep multiplying the number of bacteria by 2.

Step-by-step explanation:

Answer: m= -1/2

Step-by-step explanation:

m is the gradient of a line. and the formula for gradient is (y2-y1)/(x2-x1)

first, find a point on the line, (-2,1) and that is equal to (x1,y1)

then find another point on the line, (2,-1) and that is equal to (x2,y2)

then substitute your points into the formula above and that is equal to

(-1-1)/(2-(-2))

= -2/4

= -1/2

that is your answer

Answer:

It should be written as 8x-15x

Step-by-step explanation:

If you have any questions about the way I solved it, ask in the comments

Answer:

d

Step-by-step explanation:

Answer:

D 3/4, 4/7, 7 2/3, -2(pie), -6.5

Answer:

3 weeks

Step-by-step explanation:

[tex]\frac{1200}{415}\\\mathrm{Write\:the\:problem\:in\:long\:division\:format}\\415\overline{|\smallspace1200}\\\\\mathrm{Divide}\:1200\:\mathrm{by}\:415\:\mathrm{to\:get}\:2\\\\\begin{matrix}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\[/tex]

[tex]\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:415\\[/tex]

[tex]\begin{matrix}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\space\space\space\space\underline{\emptyspace8\emptyspace3\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

[tex]\mathrm{Subtract}\:830\:\mathrm{from}\:1200[/tex]

[tex]\begin{matrix}\space\space\space\space\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 415\overline{|\smallspace1200}\space\space\space\space\space\space\space\space\space\space\space\space\space\\ space\space\space\space\space\space\underline{\empty\space8\empty\space3\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\emptyspace3\emptyspace7\emptyspace0\space\space\space\end{matrix}[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1200}{415}\:\mathrm{is}\:2\:\mathrm{with\:remainder\:of}\:370\\\\2\quad \mathrm{Remainder}\quad \:370\\=2.89\\=3 weeks[/tex]

Answer:

(h+9)⋅(h+2)

Step-by-step explanation:

1.1     Factoring  h2+11h+18  

The first term is,  h2  its coefficient is  1 .

The middle term is,  +11h  its coefficient is  11 .

The last term, "the constant", is  +18  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 18 = 18  

Step-2 : Find two factors of  18  whose sum equals the coefficient of the middle term, which is   11 . -18    +    -1    =    -19  

     -9    +    -2    =    -11  

     -6    +    -3    =    -9  

     -3    +    -6    =    -9  

     -2    +    -9    =    -11  

     -1    +    -18    =    -19  

     1    +    18    =    19  

     2    +    9    =    11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  9  

                    h2 + 2h + 9h + 18

Step-4 : Add up the first 2 terms, pulling out like factors :

                   h • (h+2)

             Add up the last 2 terms, pulling out common factors :

                   9 • (h+2)

Step-5 : Add up the four terms of step 4 :

                   (h+9)  •  (h+2)

            Which is the desired factorization

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(h + 9)(h + 2)}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ {h}^{2} + 11h + 18}[/tex]

Here, we have to find out two numbers that adds to 11 and multiplies to 18

[tex] \dashrightarrow{ \sf{ {h}^{2} + (9 + 2)h + 18}}[/tex]

Distribute h through the parentheses

[tex] \dashrightarrow{ \sf{ {h}^{2} + 9h + 2h + 18}}[/tex]

Take h as common. Similarly, take 2 as common

[tex] \dashrightarrow{ \sf{h(h + 9) + 2(h + 9)}}[/tex]

[tex] \dashrightarrow{ \sf{(h + 9)(h + 2)}}[/tex]

Hope I helped!

Best regards! :F

Answer:

y=1/2x+0

Step-by-step explanation:

Since the slope is 1/2 and it starts at the origin, the b value is 0.

Answer:

1/2x

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ÷)

Answer:

Option (1)

Step-by-step explanation:

Lines given in the graph represent the piecewise function,

We will find the domain of the given pieces in each quadrant of the graph.

For a line in quadrant 2,

Domain (set of x-values) → [-4, -2]

For second line in the same quadrant,

Domain : [-1, 0]

For a line in quadrant 4,

Domain : [1, 3]

Therefore, Option (1) is the correct option,

Option (1). 1 ≤ x ≤ 3

Based on the information given his total employment compensation is: a. $46,650

Using this formula

Total employment compensation=Total job benefits -Total job expenses for traveling and for professional development

Where:

Total job benefits=$50,150

Total job expenses=$3,500

Let plug in the formula

Total employment compensation=$50,150-$3,500

Total employment compensation=$46,650

Inconclusion his total employment compensation is: a. $46,650

Learn more about employment compensation here:https://brainly.com/question/24659002

Answer:

A. 46,650

Step-by-step explanation:

Edge 2022.

Answer:

Um its 2.83

Step-by-step explanation:

This is a 5th grade quesion

The value of each digit in a number is known as the place value. The 5 in 350. The value of √8 rounded off to the nearest hundredth is 2.83.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

Given √8 whose approximate values to its nearest hundredth can be written as,

The value of √8 = 2.8284271247

Round 2.8284271247 to its nearest hundredth.

We have,

2.8(2)84271247

2 is in the hundredth place.

We will round 284  to its nearest hundredth.

It will round to either 200 or 300.

Since it is 284 is more than 250 we will round to 300.

Therefore, 2.8300 is our answer.

Thus, the value of √8 rounded off to the nearest hundredth is 2.83.

Learn more about the Place Value here:

https://brainly.com/question/27734142

#SPJ2

Answer:

yes it is rational

Step-by-step explanation:

it is rational because if 62 can be expressed as a ratio, then a quotient is the result you get when you divide one number by another number. For 62 to be a rational number, the quotient of two integers must equal 62. it can be expressed as a fraction in the form 62/1

Answer:

The first one:

0.05, 0.2, 0.48, 0.6

Answer:

he left with 0 dollars

Step-by-step explanation:

Answer:

y^10

multiplication of exponents is like addition, you just add exponents

Divide total cost by quantity.

$36 / 4 = $9 per basketball

Answer:

10 √10

Step-by-step explanation:

Answer:

[tex]10\sqrt{10}[/tex]

Step-by-step explanation:

The largest perfect square of the factors of 1000 is 100. We can therefore convert √1000 like this:

√100 × 10

Next, we separate the numbers inside the √ as such:

√100 × √10

√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 1000 in simplest radical form as follows:

10√10

Answer:

2x + 6 = 90

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees, so the sum of the angles is 90 degrees. We could let x be the measure of the angle. The other angle is x + 6, so the answer is x + x + 6 = 90, or 2x + 6 = 90

From the given measure whose angle is 6° less than the measure of its complement.

The measure of the two angles is 47° and 43° respectively.

Complementary angles are angles whose sum is equal to 90°. It is usually composed of two angles complementing themselves.  

Mathematically;

Let the first angle be a and the second angle be b

∴

a + b = 90°   (complemntary angles)

If one of the angles is 6° less than  its complement;

i.e.

Let a = 6

SO, the algebraic equation for the value of a is:

a = b - 6

 Replacing the value of a to solve the equation, we have:

(b - 6) + b = 90

2b - 6 = 90

2b = 90 - 6

2b = 86

b = 86/2

b = 43°

From a + b = 90°

a = 90° - 43°

a = 47°

Therefore, we can conclude that the measure of each angle is 47° and 43°.

Learn more about complementary angles here:

brainly.com/question/15592900?referrer=searchResults

use the pythag theorem to find the missing side of the trIangle, then find the area of the triangle by using the formula 1/2(l*w). Then add the area of the two triangles to 200 and you have your answer.

Answer:

Try to use pythogorus theorum

Answer:

(n+11)^2

Step-by-step explanation:

Hope this helps!

Answer:

D

Explanation:

I'm just typing this part to get to 20 characters

Answer:

Step-by-step explanation:

65 + 79 + x = 180

144 + x = 180

x = 36°

Answer:

65+79+x=180

144+x=180

x=180-144=36.

Answer:

m = 4

Step-by-step explanation:

Answer:

m=4

Step-by-step explanation:

5(m-2)-10=6+2(1-m)

5m-5*2-10=6+2*1-2*m

5m-10-10=6+2-2m

5m-20=8-2m

5m+2m=8+20

7m=28

m=28/7

m=4

Answer:

Need more?

Step-by-step explanation:

-x^2 + 3x + 2

Is this the answer?