Write the equation of a line with a slope of 3 and a y-intercept of 1.

Answer:

(D) ab + bc =ad

    ab-ad = -bc

    a(b-d) =bc

     a = bc / b-d

(e) The Pythagoras Theorem states that in a Right angled triangle the {hypotenuse}^2 = {opposite}^2 + {adjacent}^2

Step-by-step explanation:

Answer:

19.84 Miles

give or take

Step-by-step explanation:

1 km is .62 miles

.62 x 32 = 19.84

Answer:

19.88 miles

Step-by-step explanation:

Answer:

The dimensions of the field is 185 yards by 48 yards

Step-by-step explanation:

Here, we are interested in calculating the dimensions of the field.

Let the width of the field be x yards

From the question, we are made to know that the length of the field is 7 yards less than quadruple ( 4 times) the width

So mathematically, the length of the field will be ;

(4x -7) yards

The perimeter of the field mathematically is:

2(l + b)

Thus;

2(x + 4x- 7) = 466

2(5x -7) = 466

divide both side by 2

5x - 7 = 466/2

5x - 7 = 233

5x = 233 + 7

5x = 240

x = 240/5

x = 48 yards

Length of field is; 4x -7 = 4(48) -7 = 192 - 7 = 185 yards

Answer:

vertical

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Since we have a negative slope, that means the correlation for the scatter plot also has to be negative.

Since the only scatter plot that has a negative correlation is graph A, a is our answer.

Answer:

9 7/12

Step-by-step explanation:

1 3/4 + 3 1/3 + 4 1/2

1 + 3 + 4 = 8

8 + 3/4 + 1/3 + 1/2

8 + 9/12 + 4/12 + 6/12

8 + 19/12

8+ 1 7/12

9 + 7/12

9 7/12

Answer:

55

Step-by-step explanation:

98+27+x=180

Answer:

Step-by-step explanation:

x + 98° + 27° = 180

x + 125° = 180°

x = 55°

Answer:

The number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.

Step-by-step explanation:

We are given that Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet.

Let the number of ducks Old Mc Donald raises be 'x' and the number of cows Old Mc Donald raises be 'y'.

So, according to the question;

                                   [tex]x+y=100[/tex]

                                    [tex]x=100-y[/tex]  -------------------- [equation 1]

{because one head of a duck and one head of cow}

                                   [tex]2x+4y=354[/tex]

                                   [tex]x+2y=177[/tex]   --------------- [equation 2]

{because there are two feet of a duck and four feet of cow}

Now, putting the value of x in equation 2 we get;

                                  [tex]100-y+2y=177[/tex]

                                  [tex]y=177-100[/tex]

                                    y = 77 cows

Putting this value of y in equation 1 we get;

                                 x = 100 - y

                                 x = 100 - 77 = 23 ducks

Hence, the number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.

Answer:

10^(-1)

Step-by-step explanation:

Recall that a value that is multiplied by a number that is between 0 and 1 will result in a number that is smaller than the original number.

the first 3 are all greater than 1, hence will result in a greater value if when multiplied with another number.

The last one is 10^(-1) = 0.1

Anything multiplied by 0.1 will result in a value that is 1/10th of the original value.

Hence this is the answer.

Answer:

10/\-1 is correct

Step-by-step explanation:

Answer:

45, 46, 33, 0, 6

Step-by-step explanation:

Answer:112

Step-by-step explanation: Line SW is 180 degrees since it is a straight line. Subtract angle TBU 18 and angle UBW 50 from line SW 180 to get angle SBU which is 112.

Answer:

A rational number is a number able to be put into a fraction, an irrational number is not able to be. Therefore, when adding the two, the rational and the irrational will be irrational. For example, 2 is a rational number, and 1.8903 is irrational. If you add the two, you will get 3.18903, which is unable to be put into a fraction.

Answer:

x-6 = -4

Step-by-step explanation:

3x - 8= -2

Add 8 to each side

3x - 8+8= -2+8

3x = 6

Divide by 3

3x/3 = 6/2

x =2

We want to find x-6

2-6 = -4

Answer: - 4

Step-by-step explanation:

3x - 8 = -2

3x = -2 + 8

3x = 6

x = 6/3

x = 2

so, therefore x - 6 => 2 - 6 = -4

Answer: C. domain: {9, 10, 11, 12); range: (22, 32, 41, 30)

Step-by-step explanation:

The data set is:

(9, 22)

(10,32)

(11, 41)

(12, 30).

In the usual notation, the number at the left is the input (belons to the domain) and the number in the right is the output (belongs to the range).

Then the domain would be:

{9, 10, 11, 12}

and the range:

{22, 32, 41, 30}

The correct option is C

Answer:

x≤-4

Step-by-step explanation:

There is one very important exception to the rule that multiplying or dividing an inequality is the same as multiplying or dividing an equation. Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.

8x≤-32

1. Divide both sides by 8

Answer: (2 1/2, 0) (the last option)

Step-by-step explanation:

I guess the function is:

f(x) = (2  1/2) - (3  1/2)*x

now, the rule for f-1(x) that we know is:

f-1( f(x) ) = x.

So if we want to find the x-intercept of f-1(x), we must evaluate it in f(0)

f-1(f(0)) = 0.

And we have that f(0) = (2  1/2) - (3  1/3)*x = 2  1/2

This means that the x-intercept of f-1(x) will be when x= 2  1/2, so the intercept is:

(2 1/2, 0)

Answer:

f(3) = 24

Step-by-step explanation:

substitute X for 3.

F(3) = 3 * (2) ^3

= 24

Answer:

(2,5) and (5,8)

Step-by-step explanation:

you can just plug in the numbers to get your answer and if two numbers aren't the same then its not a solution

example: (2,5)

5 = 2 + 3

5 = 5

5 does equal 5 making it a solution because it makes sense right?

example: (4,6)

6 = 4 + 3

6 = 7

this isn't a solution because six doesn't equal 7

Answer:

[see below]

Step-by-step explanation:

[tex]y=x+3[/tex]

The ordered pair is a solution.

The ordered pair is not a solution.

The ordered pair is a solution.

[tex]7=3+3\\\\\boxed{7\neq 6}[/tex]

The ordered pair is not a solution.

Hope this helps.

Answer: A. $7.14

Step-by-step explanation:

price × percentage of sales tax=amount of tax

89.25 × 8%=$7.14

Hope this helps!! :)

Please let me know if you have any question

Answer:

5/8

Step-by-step explanation:

1 man, 4 women out of 8 people total

Answer: (-0.5, 4)

Step-by-step explanation:

Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

(x1, x2)=(2, -3)

(y1, y2)=(2, 6)

-----------------------------------------------

 [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

=[tex](\frac{2-3}{2} ,\frac{2+6}{2} )[/tex]

=[tex](\frac{-1}{2} ,\frac{8}{2} )[/tex]

=[tex](-0.5, 4)[/tex]

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

[tex]M=(-\frac{1}{2},4)[/tex]

Step-by-step explanation:

The midpoint formula is given by:

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Let (2,2) be x₁ and y₁ and let (-3,6) be x₂ and y₂. Therefore:

[tex]M=(\frac{2+-3}{2},\frac{2+6}{2})[/tex]

Simplify:

[tex]M=(-\frac{1}{2},\frac{8}{2})\\M=(-\frac{1}{2},4)[/tex]

Nope

Step-by-step explanation:

Pi is an irrational number because it can not be expressed by a simple fraction.

Answer: No it's a rational number

Step-by-step explanation:

Answer:

x = 5, y = -2

Step-by-step explanation:

Given equations:

From the first equation we get:

Substitute x in the second equation, find y:

Find x:

Answer:

k=6

Step-by-step explanation:

25=19+k

Subtract 19 from each side

25-19=19-19+k

6 = k

Answer:

k = 6

Explanation:

to find the value of k in the equation provided, you must subtract nineteen from both sides. this will isolate the variable.

25 = 19 + k

25 - 19 = 19 - 19 + k

6 = k

k = 6

therefore, the value of the variable k in 25 = 19 + k is 6.

Answer:

17600 people.

Step-by-step explanation:

Given that The parade route will be 1 mile long (5,280 feet are in a mile) and the sidewalks are 10 feet deep.

The area of the parade route will be

5280 × 10 = 52800 ft^2

If the average person takes up 3 square feet of space, then, divide the area by 3. That is,

52800 / 3 = 17600 people.

Therefore, the estimate for the number of people who can attend the parade will be 17600 people.

Answer:

D,

Step-by-step explanation:

that's because you only factorise when you have a common factor, ax-3b cannot be factorised because they have nothing in common so it is wrong to use x to factorise it. If you want to be sure that it is not factorisable, try expanding it and you'll see that you will not get the same answer.