Use the slope-intercept form equation for the line of fit, estimate the number of students who will be in the math club during the 15th year.
a.
53
b.
61
c.
65
d.
74

Answer:

Step-by-step explanation:

Step one:

given data

we are told that Rafael's mortgage payment on his home went up by $117 last month.

let the mortgage payment  be x

and $117 is 6.5% of x

6.5/100*x=117

=0.065x=117

Required is the mortgage payment, x

Step two:

divide both sides by 0.065

x=117/0.065

x=$1800

Hence Rafael's mortgage payment before the increase was $1800

Answer:

3.75

Step-by-step explanation:

Answer:

-2,0,2,3

Step-by-step explanation:

In this problem, the Domain are the first number in the parenthesis, while the range is the second.

1. (1, -2) - - > The second number is -2

2.(-2, 0) - - > The second number is 0

3. (-1,2) - - > The second number is 2

4. (1,3) - - > The second number is 3

Therefore the answers are -2,0,2,3

Answer:

1. A. They are similar because polygon G'H'J'K' can be obtained from polygon GHJK by a sequence of transformation

2. B. Reflection across the y-axis

Step-by-step explanation:

1) The coordinates of the sides of the polygon are;

G(-6, 8), H(-2, 4), J(-4, 2), and K(-8, 2)

G'(3, -1), H'(1, -3), J'(2, -4), K'(4, -4)

The length, l, of the sides are;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Length of GH = √((8 - 4)² + ((-6) - (-2))²)  = 4·√2

Length of HJ = √((2 - 4)² + ((-4) - (-2))²)  = 2·√2

Length of JK = √((2 - 2)² + ((-4) - (-8))²)  = 4

Length of KG = √((2 - 8)² + ((-8) - (-6))²)  = 2·√10

Similarly, we have;

Length of G'H' = √(((-3) - (-1))² + (1 - 3)²)  = 2·√2

Length of H'J' = √(((-3) - (-4))² + (1 - 2)²)  = √2

Length of J'K' = √(((-4) - (-4))² + ((4)- 2)²)  = 2  

Length of K'G' = √(((-4) - (-1))² + ((4) - 3)²)  = √10  

Therefore, the polygon G'H'J'K' can be obtained from the polygon GHJK by scaling down by a factor of 2, and the two polygons are similar

2) Given that the coordinates of figure 2 are (-2, 3) (-3, 5), (-4, 1), and (-6, 1), while the corresponding coordinates of figure 3 are (2, 3), (3, 5), (4, 1), and (6, 1) which is equivalent to a transformation from (x, y) to (-x, y) which is the  transformation involved in a reflection across the y-axis

Both the polygons are similar because polygon G'H'J'K' can  be obtained from polygon GHJK by a sequence  of transformations.

Given :

The distance formula can be used in order to determine the length of segments of the given polygon.

[tex]\rm GH=\sqrt{(-2+6)^2+(4-8)^2} =\sqrt{32}[/tex]

[tex]\rm HJ=\sqrt{(-4+2)^2+(2-4)^2} =\sqrt{8}[/tex]

[tex]\rm JK=\sqrt{(-8+4)^2+(2-2)^2} =\sqrt{16}=4[/tex]

[tex]\rm GK=\sqrt{(-8+6)^2+(2-8)^2} =\sqrt{40}[/tex]

[tex]\rm G'H'=\sqrt{(1-3)^2+(-3+1)^2} =\sqrt{8}[/tex]

[tex]\rm H'J'=\sqrt{(2-1)^2+(-4+3)^2} =\sqrt{2}[/tex]

[tex]\rm J'K'=\sqrt{(4-2)^2+(-4+4)^2} =\sqrt{4}=2[/tex]

[tex]\rm G'K'=\sqrt{(-4+1)^2+(4-3)^2} =\sqrt{10}[/tex]

Therefore, the correct option is A) They are similar because polygon G'H'J'K' can  be obtained from polygon GHJK by a sequence  of transformations.

For more information, refer to the link given below:

https://brainly.com/question/17756657

Answer:

The answer is 162

Step-by-step explanation:

For every 60 seconds Manuel's heart will beat 9 times.  This means that every minute his heart will beat 54 times.  Since he is resting for three minutes we can say that 54x3=162

Answer:

P=35cm and A=49sq is correct

Answer:

(3g + 1)(x + 8)

Step-by-step explanation:

3g2+ 25g + 8; think of FOIL

(3g + ___ ) (g + ___); you know you will get the first term when you multiply 3g and g.  Also you know that the signs will be positive because 25g and 8 are positive.

Now think of the multiples for 8 because it will be the last term; it could be 4*2 or 8*1 and move the options so you get 25g from outers and inners.  You will get this

(3g + 1)(x + 8)

Answer:

1/2

Step-by-step explanation:

Plato. just had it

Answer:

The answer is 1/2

Step-by-step explanation:

Answer:

i thinks its 25% off

Step-by-step explanation:

this is like 15/60, which simplified is 1/4 so

15/60=1/4

30/60=1/2

45/60=3/4

60/60=1

im 100% positive this is correct

Answer:

a. D={o,1,2}

R={1,1,6}

b. D= {-3,-1,0,2}

R={7,9,7,6}

I'm not sure with b.

Answer:

x=32

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]2x = 64[/tex]

Divide by the coefficient of x which is 2

[tex] \frac{2x}{2} = \frac{64}{2} [/tex]

[tex]2x \div 2 = 1 \\ 64 \div 2 = 32[/tex]

Hope it helps <3

Answer:

[tex]y=\frac{-3}{4} x+2[/tex]

Step-by-step explanation:

First, we can find the slope using the slope equation and two of the points.

Slope equation:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

[tex]m=\frac{2-5}{0--4}[/tex]

Simplify:

[tex]m=\frac{-3}{4}[/tex]

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

[tex]y=\frac{-3}{4} x+2[/tex]

Answer:

y = -3/4x + 2

Step-by-step explanation:

we will choose any two points: (-4,5) and (0,2)

an linear equation should be like this y=ax+b

a is the slope, b is the y intercept

to find the slope we will use this formula: y1 - y2/x2 - x1

2-5/0-(-4) = -3/4

y = -3/4x + b

now you can find the answers by putting the values of x and y from the table

Answer:

2 teaspoons of vanilla and it makes 24 cupcakes

Step-by-step explanation:

Heyo!

So, based on what we know, for every 2 teaspoons of vanilla used in the recipe, it is enough to make 24 cupcakes. Kai, however is required to make 96 cupcakes for the school event. This being said, we need to first:

*Multiply 12 by 8:

12 x 8 = 96

Next, you multiply 8 by 2 (2 represents every 24 cupcakes made.

8 x 2 = 16

Hence, he needs a total total of 14 teaspoons of vanilla to add to the vanilla he already has in order to make all 96 cupcakes. Hope this helps!

Answer:

2+1=3

heres a picture of it :+.

and if you count the dots it is 3 dots

Step-by-step explanation:

Answer: -4

Step-by-step explanation: Calculator

Answer:

2

Step-by-step explanation:

Because two is the variable

Answer:

x = 2

Step-by-step explanation:

Well for starters we know 18 multiplied, or times, x equals 36. So how can  we find x? Well you can do the 36 divided by 18, the inverse of multiplication. Then when you do that you get 2. Just to make sure you can substitute 2 for x in the expression and see if it equals 36. And yes it does! Hope this helpss amigo!!

Answer:

divide each term in the equation by the coefficient or multiply each term by the reciprocal of the coefficient

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Answer:oh tough one! iwould help but i cant see the pic :(

Step-by-step explanation:

Answer:

5 feet times the ratio of the lengths of the two grasshoppers

Step-by-step explanation:

[tex]5( \frac{1.5}{1.2} ) = 6.25[/tex]

hope this helps

Answer:

-13

Step-by-step explanation:

Answer:

11, yes 12, 7.5 glasses of water?

Step-by-step explanation:

11- Yes.

If 5 tickets are 25 dollars, that means a ticket is 5 dollars. 8 x 5 = 40. 10 + 40 = 50.

12- 2 1/2 x 3 = 7.5

Answer:

1) Yes he can buy a snack pack

2) 7.5

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Answer:

positive 84

Step-by-step explanation:

when you multiply a negative by a negative it becomes a positive

Answer:

7x - 1

Step-by-step explanation:

3x + 8 + 4x - 9 = ?

3x + 4x = 7x

8 - 9 = -1

3x + 8 + 4x - 9 = 7x - 1

Answer:

The answer is 18.

Answer:

80

Step-by-step explanation:

The equation of finding a slope is y2-y1/x2-x1.

y-5/-7-(-21)=5

y-5/-7+21=5

y-5/15=5

y-5=75

y=80

Answer:

The value of 7 in 678,901 is 70000 which 10 times greater than that of 67,890 Which is 7,000.

Answer:

4.16

Step-by-step explanation:

Mixed Number = 4 1/6

Decimal = 4.16

Fraction = 4.1666666

Percentage = 416%

Answer:

X=5+

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

hi