What is the reason for each step in the solution of the equation?
-6x = -2(a + 12)
Match the reason with the correct step in the equation.

Answer:

[tex]y +500 = -\frac{1}{5}(x - 100)[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the equation in point slope form

From the graph, we have the following points;

[tex](x_1,y_1) = (-400,-400)[/tex]

[tex](x_2,y_2) = (100,-500)[/tex]

First, we calculate the slope (m):

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-500 - (-400)}{100- (-400)}[/tex]

[tex]m = \frac{-500 +400}{100+400}[/tex]

[tex]m = \frac{-100}{500}[/tex]

[tex]m = -\frac{1}{5}[/tex]

The equation is then calculated using:

[tex]y - y_2 = m(x - x_2)[/tex]

Substitute x and y values

[tex]y - (-500) = -\frac{1}{5}(x - (100))[/tex]

[tex]y +500 = -\frac{1}{5}(x - 100)[/tex]

Answer:

d=1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-11d+6=13d+22

-11d - 13d = 22 - 6

-24d = 16

Answer:

3(x)+2

Step-by-step explanation:

2(5)+6 = 16

3(5)+2 = 17

4(5)-5 = 15

5(5)-10 = 15

Answer:

78

Step-by-step explanation:

x+(x+2)+(x+4)=228

x+x+2+x+4=228

3x+6=228

Subtract 6 from both sides

3x=228-6

3x=222

Divide both sides by 3

x=74.The first number is 74

The second number (x+2)=74+2=76

The third number (x+4)=74+4=78

Answer:

i think ac=10.4

Step-by-step explanation:

Answer:

the answer is 175%

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

I got the answer wrong, this apparently is the correct answer. My deepest apologies.

57.14% is the answer that I put and it was incorrect.

Answer:

The probability that an individual has the disease and has a positive test result is:

9.8%.

Step-by-step explanation:

Probability of a true positive result for a test of syphilis = 0.98 or 98%

Probability of a false negative result for a test of syphilis = 0.02 or 2% (100 - 98)

Probability of a true negative result for a test of syphilis = 0.9 or 90%

Probability of a false negative result for a test of syphilis = 0.1 or 10% (100 - 90)

Therefore, the probability that an individual has the disease and has a positive test result = 0.98 * 0.1 = 0.098 = 9.8%

Answer: x=4

Step-by-step explanation:

We know that line segment AC= AB + BC

we also know that AB= 3x+8 and BC= 2x-5

by substituting these, we get AC= (3x+8)+(2x-5)

AC is given as being 23, so we know that

23= (3x+8)+(2x-5)

by combining like terms, we get that

5x+3=23

simplify this to get that x=4

Answer:

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = h

           b = 8/2  = 4

           c = 5

plugin values into the formula:

h² + 4² = 5²

h² = 5² - 4²

x = √9

x = 3

Answer:

Please check the explanation.

Step-by-step explanation:

Given the vector

v = 6i + 2√3j

The Magnitude of a vector:

[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]

[tex]=\sqrt{6^2+\left(2\sqrt{3}\right)^2}[/tex]

[tex]=\sqrt{36+12}[/tex]

[tex]=\sqrt{48}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}[/tex]

[tex]=\sqrt{3}\sqrt{2^4}[/tex]

[tex]=4\sqrt{3}[/tex]

The Direction of a vector:

tan Ф = y/x

y=2√3

x = 6

tan Ф = y/x

          = 2√3 / 6

           = √3 / 3                  

[tex]\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)[/tex]

[tex]\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}[/tex]

Answer:

6%

Step-by-step explanation:

Interest = Principal * rate * time

      156 = 520(r)(5)

      156 = 2600r

           r = 0.06 or 6%

Answer:

6 percent

Step-by-step explanation:

Interest =1 Part

156 = 520(annual rate )(5)

156 = 2600(annual interest rate )

annual rate=156/2600  

annual interest  rate  = 0.06

annual interest rate=0.06*100

annual interest rate =6%

Answer:

(60-40)+80

Step-by-step explanation:

Answer:

The ratio of boys to girls is 2:3.

Step-by-step explanation:

6:9 = 2:3

Answer:

(If they give you a decimal place to round to use that) :)

9: 0.1026272578 mL/g

10: 1.8666666667 mL/g

Step-by-step explanation:

Density is M / V like a kinda heart you know? So mass divided by volume, the sink or float part you give context  for although that is the density

Answer:

Colour of coat

Step-by-step explanation:

We are told that the veterinarian wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health.

In randomized block design, blocking is the arrangement of experimental units in groups known as blocks which are similar to one another.

Looking at the options given, by blocking on size, age or dog breed, the source of variability which led to the inconclusiveness initially would be controlled which then leads to a greater accuracy in result. Since there can be big, medium and small size of dog: there can be older or younger dogs: there can be different type of dog breeds as well. All these can likely affect the results of the experiment.

Whereas, blocking on colour of coat is not an appropriate variable because it has no effect on the experiment.

Answer:

-4y+24

Step-by-step explanation:

You multiply -8 by each figure in the parenthesis.

So, -8(0.5y) and -8(-3)  which is -4y+24 .

Answer:

30

Step-by-step explanation:

First: f(3)=2(3) is 3F=6, divide by 3 on each side and F=2.

Second g(3)=5(3) is 3G=15, divide by 3 on each side and G=5.

Finally, f(g)(x) is (2)(5)(3) = 10x3 = 30.

The value of the function f ( g ( x ) ) when x = 3 is 30

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that
h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be f (x ) = 2x

Let the second function g ( x ) = 5x

Now ,

The composite function is of the form f ( g ( x ) ) ,

So assign the value of x in f ( x ) as x = g ( x )

And , g ( x ) = 5x

So , the composite function will be

f ( 5x ) = 2 ( 5x )

          = 10x

Now , when x = 3

f ( g ( 3 ) ) = 10 x 3

               = 30

Therefore , the value of f ( g ( 3 ) ) is 30

Hence , the value of the function f ( g ( x ) ) when x = 3 is 30

To learn more about composite functions click :
https://brainly.com/question/17673639

#SPJ6

Answer:

7/96

Step-by-step explanation:

to find the answer you need to multiply both numerators together and put that over the product of the denominators, this is going to leave you with a fraction smaller than the original fractions. that is normal, because you are multiplying terms smaller than one together. same applies to decimals less than one

Happy Holidays! :)

He swapped the Subtraction Property of Equality and the Multiplication Property of Equality.

The proper steps in order would be as shown:

3 + x / 2 = 10       Given equation

x / 2 = 7               Subtraction Property of Equality (-3 from both sides)

x = 14                    Multiplication Property of Equality (x2 on both sides)

Answer:

Step-by-step explanation:

this is the answer

Answer

Q1. -8+3

solution:

= -8+3

= -5 .Ans

Rule : if the sign are different subtract and and keep the sign of larger value.

Q2. 7-(-14)

solution :

= 7-(-14)

= 7 + 14

= 21 .Ans

Rule: if the signs are same add and keep the sign same

Q3. 8× (-2)

solution:

= 8×-2

= -16. Ans

(solve bracket first)

Q4. (-39) ÷ (9)

solution:

= -39 ÷ 9

= -4 .Ans

Q5. 24 ÷ 8 × (7+3) ÷ 5

solution:

= 24 ÷ 8 × (10) ÷ 5

= 24÷ 8 × 10 ÷ 5

= 3 × 2

= 6

(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )

Q6. 8 (2x+9) - 2

solution:

= 8 (2x+9) -2

= 16x + 72 - 2

= 16x + 70 .Ans

Q7. 36y - 8y + 15 - 13

solution:

= 36y- 8y + 15 - 13

= 30y + 2 .Ans

Q8. 3÷ 4

solution :

= 3÷ 4

= 0.75 .Ans

Q9. 8/0

soution: It is undefined or you cannot evaluate it. Explanation: You cannot evaluate 8 /0 because there is no real number.

Q10. 18 /1

solution:

= 18/1

= 18 ÷ 1

= 18. Ans

Explanation :This rule tells us simply that if we have a number divided by 1, our answer will equal that number regardless of what that number is. We don't even have to pay that much attention to the number we are dividing. We just have to make sure that when dividing any number by 1, we remember the answer is always itself.

Q11. 1 ÷ 9-3

solution:

= 1 ÷ 9-3

= 0.1111 - 3

= −2.8888 .Ans

(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )

Answer:

C)

Step-by-step explanation:

The other ones do have symmetry but it's not in the same direction

(not entirely sure but the way they are shown this makes the most sense)

Hope this helped! :)

Step-by-step explanation:

it is the formula to calculate the time

in the formula

t = I / pr

t stands for time.

I stands for interest.

p stands for principal.

r stands for rate.

Hope it helps. :)

Answer:

3, 2, 0

Step-by-step explanation:

There are three modes, all numbers have at least two appearances.

Please give thanks by clicking the heart! I solved your other problem too :)

Answer:

f(t) = 55 = 4t

Step-by-step explanation: