Determine which measure of center best represents the data?

Answer:

60

Step-by-step explanation:

15x3=45

5x3=15

15+45=60

Answer:

y = 1/2x + 10

Step-by-step explanation:

(y-11)/(14-11) = (x-2)/(8-2)

(y-11)/3 = (x-2)/6

2y-22 = x-2

2y = x + 20

y = 1/2x + 10

Let m = slope of the line.

m = (14 - 11)/(8 - 2)

m = 3/6

m = 1/2

We now have the slope and the slope is 1/2.

We plug the slope and one of the point into the point-slope formula.

Here is the point-slope formula:

y - y_1 = m(x - x/_1)

I will use the point (2, 11).

y - 11 = (1/2)(x - 2)

y - 11 = (1/2)x - 1

Now we solve for y by adding 11 to both sides of the equation.

y = (1/2)x - 1 + 11

Answer: y = (1/2)x + 10

The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)

We have,

To express the polynomial f(x) = 2x³ + 4x² - 2x - 4 as a product of linear factors, we can use a technique called factorization by grouping.

First, let's group the first two terms and the last two terms together:

f(x) = (2x³ + 4x²) + (-2x - 4)

Factor out the greatest common factor from each group:

f(x) = 2x²(x + 2) - 2(x + 2)

Notice that we now have a common factor of (x + 2) in both terms.

We can factor it out:

f(x) = (x + 2)(2x² - 2)

Now we can factor the quadratic expression 2x^2 - 2 by factoring out the greatest common factor of 2:

f(x) = (x + 2)2(x² - 1)

Now we can factor the expression x² - 1 as the difference of squares:

f(x) = (x + 2)2(x - 1)(x + 1)

Therefore,

The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)

Learn more about polynomials here:

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The linear function is given by f(x) = 2x - 10 with a zero of -10(y intercept.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope and b is the y intercept.

The line passes through the point (1, -8) and has a slope of 2. Hence:

y - (-8) = 2(x - 1)

y = 2x - 10

f(x) = 2x - 10

f(0) = 2(0) - 10 = -10

The linear function is given by f(x) = 2x - 10 with a zero of -10(y intercept.

Find out more on Linear equation at: https://brainly.com/question/13763238

Answer:

The mantle

Step-by-step explanation:

The Earth can be divided into four main layers: the solid crust on the outside, the mantle, the outer core and the inner core. Out of them, the mantle is the thickest layer, while the crust is the thinnest layer

Answer:

k = -4

Step-by-step explanation:

First multiply 3 for both sides of the equation:

- 9 = k - 5

Then isolate k to get

k = -4

Answer:

K is equal to -14

Step by step:

3 x 3 = 9

We need 3 wholes.

5 + 9 = 14

14 - 5 = 9

K represents -14

Hope this helps!

Answer:(-6.5,-5)

Step-by-step explanation:

 P = (3A +1B)/(3+1)

 P = (3(-7, -9) +(-5, 7))/4 = (-21-5, -27+7)/4 = (-6.5, -5)

Answer:

the correct answer is 126 sq. cm

Step-by-step explanation:

Area of square= side = 6cm

Area = s*s = 6*6 = 36sq. cm

Area of rectangle: length = 12cm and breadth = 6cm

Area of rectangle = length * breadth = 12 * 6 = 72sq. cm

Area of triangle: height = 6cm and base = 6cm

Area of triangle = 1/2 * base * height = 1/2 * 6 * 6 = 3* 6 = 18sq. cm

Total area of the given figure = Area of square + Area of rectangle + Area of triangle

= 36 + 72 + 18 = 126sq. cm

Answer:

I think it's C if not D, but more likely C. Hope this helps, sorry if it doesn't.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Substitute x with (-1),

(-3) x (-1) = 3

3 - 2 = 1

Have a great day <3 (I'm happy)

Answer:

They do

Step-by-step explanation:

Both have 4 90 degree (right) angles.

A triangle has 3 sides and 3 angles. The angles of a triangle always add up to 180 degrees.The “angle” of a circle is 360 degrees – all the way around.

Hope this helps (Sometimes i think circles don't have any angles at all)

Answer:

Step-by-step explanation:

A triangle has 180 degrees in total. One of the angles are 145 degrees, so we can subtract and get 35 degrees. Then, it says that the remaining angles are in a ratio 2:3. So, we would have:

[tex]2x:3x = 35 \\2x+3x = 35\\5x=35\\x=7[/tex]

Now that we know what x is, we can multiply that to our ratio:

[tex]2\cdot7=14 \text{ degrees for the first angle}\\3\cdot7=21 \text{ degrees for the second angle }[/tex]

Answer:

[tex]6 \times 6 \times 6 = 216 \\ = 216[/tex]

Answer:

216 Value

6 times 6 times 6 =216

Answer:

35

Step-by-step explanation:

6 pies = 21 cups of apples

1 pie =  3.5 cups of apples

10 pies = 35 cups of apples

Answer: I also like kenma, also like shoyo

Step-by-step explanation:

Btw great question

Step-by-step explanation:

i think tanaka might be my favorite :)

Answer:

=14m^2p^2+7m^2p+7mp^2+7mpx

Answer:

2. x = 12.5

Step-by-step explanation:

x=56.25÷4.5=12.5

Answer:

C. 74

Step-by-step explanation:

add up all the numbers but not the value so you have 18 numbers. divide that by 2 and get 9. so 74 is between 73 and 78 so it divides the 18 numbers evenly into 9 and 9.

Answer:

it's A and C

(4, -8) and (-1,7)

Step-by-step explanation:

y = -3x + 4

A. works

x = 4

y = -8

-3(4) + 4

-12 + 4 = -8

B. doesn't work

x = 2

y = -10

-3(2) + 4

-6 + 4 = -2

C. works

x = -1

y = 7

-3(-1) + 4

3 + 4 = 7

D. doesn't work

x = -3

y = 4

-3(-3) + 4

9 + 4 = 13

it's A and C

(4, -8) and (-1,7)

Answer:

7.85

Step-by-step explanation:

You just put it in a calculator

Answer:

(x+2)^2+(y+1)^2=4

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2 is the standard equation for a circle

Plug in point at (h,k) Negative points= positive in equation due to (x-h),(y-k) All equal to radius squared

Answer:

A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.

C. C’ will remain in the same location as C because it is on the line of reflection.

D. The image and the pre-image will be congruent triangles.

Step-by-step explanation:

A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.

This option is TRUE. When we reflect a shape in the line y=xy=x , we just have to swap the x and y coordinates.

B. .Clayton could negate both the x and y values in the points to find the points of the image.

False; This is a rotation of 180\degree180° about the origin.

C. C’ will remain in the same location as C because it is on the line of reflection.

This statement is True

C’ will move because all points move in a reflection.

This statement is false because,C(2,2) and C'(2,2) will have the same coordinate.

D. The image and the pre-image will be congruent triangles.

This is TRUE because reflection is a shape preserving transformation(rigid motion).

E. The image and pre-image will not have the same orientation because reflections flip figures.

This is False

Hope this helps :)

Answer:

a,c,e,f

Step-by-step explanation:

Answer:

Number 7 is 48

I think number 5 is 49 I'm not for sure about this one.

Step-by-step explanation:

Number 7:

Since it's a 90 degree angle, you just add 19 + 23 which gives you 42. Subtract 42 from 90 and it gives you 48, the value of the variable.

Number 5:

Now I'm not for sure about this one because of the number 12 pointing to the connecting point. So, I'd rather not say how I did this one before I get you confused when you learn about this in the future.

find area of 1 small bub

πr² = 3.14 × 3²

= 28.26 cm

area of 2 small bub

28.26 × 2 = 56.52 cm

area of big bub = area of 2 small bub

= 56.52

find radius by using formula

πr² = 56.52

r² = 56.52 ÷ 3.14

r² = 18

r = √18

r = 4.24 cm

round off to nearest cm

4.24 ≈ 4 cm

Answer:

Recipe for 6 smoothies:

2 apples

3/2 of a lemon

4 peaches

Step-by-step explanation:

Recipe for 1 smoothie:

1/3 of an apple

1/4 of a lemon

2/3 of peach

A family of 6 arrives and they all want that smoothie.

Multiply every recipe for 1 smoothie by 6

Recipe for 6 smoothies:

6 × 1/3 of an apple

= 6/3 = 2 apples

6 × 1/4 of a lemon

= 6/4 = 3/2 of a lemon

6 × 2/3 of peach

= 12/3 = 4 peaches

Recipe for 6 smoothies:

2 apples

3/2 of a lemon

4 peaches

Answer:

x=2,-4

Step-by-step explanation: