write the equation of the line that passes through the given points (0,-1) and (-5,-7) Simplify your answer

An i is an imaginary value.  So 7i is the imaginary part and 9 is the real part.

Hope this helps!!

Complex number is the number which is the combination of the real numbers and imaginary number. For the given complex number the real part is 9 and the imaginary part is 7.

Given information-

The complex number given in the problem is,

[tex]9+7i[/tex]

Complex number is the number which is the combination of the real numbers and imaginary number.

The complex number written in the form of,

[tex]a+bi[/tex]

Here [tex]a[/tex], [tex]b[/tex] are the real number and [tex]i[/tex] is the imaginary number called iota.

The value of the iota [tex]i[/tex] is,

[tex]i=\sqrt{-1}[/tex]

The complex number is made of two parts, the real part is [tex]a[/tex] and the imaginary part is [tex]b[/tex] for the above example.

Compare the given complex number with above complex number to find out the real and imaginary part of the complex number.

[tex]9+7i[/tex]

Here [tex]a[/tex] is 9 and [tex]b[/tex] is 7. Thus for the given complex number the real part is 9 and the imaginary part is 7.

Learn more about the real and imaginary parts of the complex number here;

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Answer:

X=9 and Y=81

Step-by-step explanation:

For this case we have a system of two equations with two unknowns:

[tex]y = 9x\\y = 2x + 63[/tex]

Matching we have:

[tex]9x = 2x + 63[/tex]

subtracting 2x on both sides of the equation:

[tex]9x-2x = 2x-2x + 63\\7x = 63[/tex]

Dividing between 7 on both sides of the equation:

[tex]\frac {7x} {7} = \frac {63} {7}\\x = 9[/tex]

We find the value of y:

[tex]y = 9 (9)\\y = 81[/tex]

ANswer:

[tex]x = 9\\y = 81[/tex]

Answer:

The domain are all real numbers, there are no restrictions on the value x can be the domain is the set of all real numbers.

Answer:

All real numbers.

D is the correct option.

Step-by-step explanation:

The given function is [tex]f(x)=4^x[/tex]

Domain is the set of x values for which the function is defined.

In this exponential function, no matter we take which x values, the function remains defined for all real values of x.

Therefore, the domain of the given exponential function is All real numbers.

D is the correct option.

Answer:

-46 * x - 19 = -86

Step-by-step explanation:

this a word problem!

lets break it down

-46 times a number

this will be -46 * x

minus 19 is equal to 86 less the number

-46 * x - 19 = -86

To solve the equation "-46 times a number minus 19 is equal to 86 less the number", we can simplify the equation by combining like terms and isolating x. The solution is x = -105/45 or approximately -2.33.

To solve the equation -46 times a number minus 19 is equal to 86 less the number, we can first simplify the equation. Let's call the number x. So, -46x - 19 = 86 - x. We can solve for x by combining like terms and isolating x on one side of the equation. Adding x to both sides gives -45x - 19 = 86. Then, adding 19 to both sides gives -45x = 105. Finally, dividing both sides by -45 gives x = -105/45, which simplifies to x = -7/3 or approximately -2.33.

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Answer:

Option C. 4 pairs; ∠2 and ∠4

Step-by-step explanation:

we know that

In the figure

[tex]m<6=m<1[/tex] -----> by corresponding angles

[tex]m<3=m<7[/tex] -----> by corresponding angles

[tex]m<5=m<8[/tex] -----> by corresponding angles

[tex]m<2=m<4[/tex] -----> by corresponding angles

therefore

Are available [tex]4[/tex] pairs of corresponding angles

The answer is the option C

Answer:

0.783

Step-by-step explanation:

To find first r and then r square for the data

correlation coefficient of x and y = Cov (x,y)/std dev x * std dev Y

Cov (x,y) = E(xy) -E(x)E(y)

Hence calculations would be as follows:

x y xy

1 2 2

2 10 20

5 5 25

7 18 126

10 25 250

Mean 5 12 84.6

Cov E(xy)-E(x)E(y)  24.6

r 0.884640297

r^2 0.782588454

so answre is 0.783 after rounding off.

Answer:

A D E are all true. The others are false and should not be checked.

Step-by-step explanation:

A crosses the x axis at (- 2.5,0)

B is false. The line does not go through (0,0) which is the origin.

C  is false. The green line is not perpendicular to anything.

D is true. It crosses the y axis at (0,5)

E is true. It is on the xy plane.

F is false. It is not parallel to either axis.

Answer:

Look up the definition of that and then examples I’m in your class my names Joe

Step-by-step explanati

The height of the student increased by 25 percent from 48 inches in 5th grade to 60 inches in 8th grade.

The student's height increased from 48 inches to 60 inches. To find the percent increase, we use the formula:

Percent Increase = ((New Height - Original Height) / Original Height) x 100%

Substituting the given values, we get:

Percent Increase = ((60 - 48) / 48) x 100%

Percent Increase = (12 / 48) x 100%

Percent Increase = 0.25 x 100%

Percent Increase = 25%

Therefore, the height of the student increased by 25 percent from 5th grade to 8th grade.

The student's height increased by 25% from 5th grade to 8th grade.

The percent increase in the student's height from 5th grade to 8th grade is calculated as follows:

First, determine the initial height in 5th grade, which is given as 48 inches.

Next, determine the final height in 8th grade, which is given as 60 inches.

The increase in height is the final height minus the initial height:

[tex]\[ \text{Increase in height} = \text{Final height} - \text{Initial height} \] \[ \text{Increase in height} = 60 - 48 \] \[ \text{Increase in height} = 12 \text{ inches} \][/tex]

To find the percent increase, divide the increase in height by the initial height and then multiply by 100:

[tex]\[ \text{Percent increase} = \left( \frac{\text{Increase in height}}{\text{Initial height}} \right) \times 100 \] \[ \text{Percent increase} = \left( \frac{12}{48} \right) \times 100 \] \[ \text{Percent increase} = \left( \frac{1}{4} \right) \times 100 \] \[ \text{Percent increase} = 0.25 \times 100 \] \[ \text{Percent increase} = 25\% \][/tex]

The correct option is [tex]\boxed{25\%}[/tex].

Answer:

25%

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage of 3 in 12 is 25%.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

3 and 12.

The percentage of 3 in 12.

= 3/12 x 100

= 1/4 x 100

= 25%

Thus,

The percentage of 3 in 12 is 25%.

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Answer:

1,400,000,000

Step-by-step explanation:

Since there are 7 billion people on the earth, you must divide 7,000,000,000 by 5 and you arrive at the answer of 1,400,000,000.

Hope that helps!

The result is that approximately 1.4 billion people are using social networks.

If 1 out of 5 people in the world are logging onto a social network, and the world population is 7 billion, we can calculate the number of people logging in by dividing the total population by 5.

So, the number of people logging in is:

[tex]\frac{\text{7 billion}}{5} = 1.4\text{ billion}[/tex]

So, approximately 1.4 billion people are logging into social networks, according to the headline.

When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.

For example:

[tex]x^{-2}[/tex] or [tex]\frac{x^{-2}}{1}=\frac{1}{x^2}[/tex]

[tex]\frac{1}{y^{-2}}=\frac{y^2}{1}[/tex]  or  y²

So:

[tex]5^{-2}=\frac{1}{5^2}=\frac{1}{25}[/tex]

Your answer is B

The correct evaluation of   [tex]5^{-2}[/tex]  is  [tex]\frac{1}{25}[/tex]

∴ [tex]5^{-2}[/tex] can be written as  [tex]\frac{1}{5^{2} }[/tex]

So,   [tex]5^{-2}[/tex]  = [tex]\frac{1}{25}[/tex]

Option B is correct.

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[tex]\dfrac{3ax-n}{5}=-4\qquad\text{multiply both sides by 5}\\\\3ax-n=-20\qquad\text{add n to both sides}\\\\3ax=n-20\qquad\text{divide both sides by 3a}\neq0\\\\\boxed{x=\dfrac{n-20}{3a}}[/tex]

The graph of the linear equation y = 6x + 4 is drawn below.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

The equation is given below:

y = 6x + 4

Convert the equation into intercept form, then we have

y = 6x + 4

6x - y = - 4

x / (-0.667) + y / 4 = 1

The graph of the equation is given below.

More about the linear equation link is given below.

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Answer:

3x-1

Step-by-step explanation:

if you triple x, you multiply x 3 times

Hello!

3         8             24            6

-    x     -    =        _     =       -     OR 6

4          1              4              1

Answer: 6 OR 6/1

Hope this helps!  ~Pooch ♥

Answer:

6 miles.

Step-by-step explanation:

I believe your trying to say 3/4

3/4 x 8

3/4 x 8/1

24/4 = 6

Answer:

(-9/2,2)

Step-by-step explanation:

Midpoint equals (x1+x2)/2, (y1+y2)/2

Answer:

(-9/2,2)

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

[tex]\sqrt{3x+2} - \sqrt{2x+7} \\\\PLUG IN 5\\\\\sqrt{3*5+2} - \sqrt{2*5+7} = 0[/tex]

Answer:

1. C

2. D

3. A

4. [tex]\frac{-1}{27a^{3}b^{6}}[/tex]

Step-by-step explanation:

To evaluate or simplify expressions with exponents, we use exponent rules.

We will use these rules to simplify.

1. [tex](-3)^{-4} = -3*-3*-3*-3=\frac{1}{81}[/tex] Choice C.

2. [tex](-7.4)^{0}=1[/tex] Choice D.

3.[tex]-(5)^{-1}=\frac{-1}{5}[/tex] Choice A.

4. [tex]-(3ab^{2})^{-3} =-(\frac{1}{3ab^{2}*3ab^{2}*3ab^{2}})=\frac{-1}{27a^{3}b^{6}}[/tex]

Answer:

1.) [B]

2.) [C]

(3.) [D]                            

Step-by-step explanation:

1.) Initial amount = $3168

Annual percentage rate = 12.75

per month percentage rate = 1.06%

Interest after 3 months =  P*R*T/100

                                      = 3168*1.06*3/100

                                      = 100.74 (aprox)

Balance after 3 months = 3168-100.74

                                        = $3270.06 (aprox) (B.)

2.) Gross pay = $2759

Total interest rate = 7.65%+12%+7% =  26.65%

interest amount= 26.65% *2759 =$728.24 (aprox)

Housing and fixing expenses= $728.54  (C.)

3.) 1 hour = $8.25

1 week= 35 hours

3 weeks = 35*3 hours = 105 hours

Total income= 105 hours = $8.25*105= $866.25

Total interest to be deducted = 7.65+13+9 = 29.65 %

Income after deducting interest =  $866.25-256.843 = $609.407

(D.)

The answers are:

1) C - $728.54

2) D - $609.39

3) B - $3,270.06

The answer is A. An equation is when two quantities are equal to each other, thus having an equal sign.

Answer:

3

Step-by-step explanation:

The slope is 3 because the equation is y=mx+b. If you add in the terms m=3 and b=0. It is y=3x. M is the slope, so the slope is 3!

[tex]sin\frac{3}{4}\pi=sin(\pi-\frac{\pi}{4})=sin\frac{\pi}{4}=\frac{\sqrt2}{2}[/tex]

Answer:

M=slope

(6) m=1

(7) m=3/2

(8)m=5/3

(9) m=0

(10) m=-11/4

(11) m=-1/2

(12) Undefined

(13)  m=12

(14) m=11/16

(15) m=-3

Hope this would HELP

Step-by-step explanation:

Answer: Crystal earns $18.98 working 3 hours and 45 minutes.

Step-by-step explanation: Since m is the amount of money earned and we are trying to find how much money Crystal earned in h hours, the function will be set up as m = 5.50(h). If Crystal works 3.45 hours, we can plug this number into h: m = 5.50(3.45), which gives us $18.975. Rounded to the nearest cent, the answer would be $18.98 because 5 rounds 7 up.

Answer:

7.83

Step-by-step explanation:

Susie will spend $7.83 on each person

Susie has a total amount of $15.66 to spend on lunch for both her and her friend

She wants to spend an equal amount on both her and her friend

Hence, since she wants to spend equal amount on herself and her friend it can be calculated as follows

= 15.66/2

= 7.83

Hence Susie will spend $7.83 on herself and friend

Please see the link below for more information

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Answer:

She would make a 78.88% on a test if she played video games for only 8 hours a week.

Step-by-step explanation:

10 hours of video games=73.6% on a test.

8 hours of video games=x% on a test.

A proportion just doesn’t work out for this problem, so here’s what I did.

100-73.6=26.4

26.4 times .8 =21.12

100-21.12 equals 78.88

If you wanted to know what she would make on her test if she played video games for 6, 4, or 2 hours a week, you could do this.

78.88-73.6=5.28

There are increments of -5.28% for every 2 hours of video game play.

As you keep adding, here are the results.

6- 84.16%

4- 89.44%

2- 94.72%

0- 100%

After 18 hours of gameplay in a week, you would get 4.96% on a test, and then a 0 on not even completing the 19th hour.