translation: 6 units right and 2 units down
D(-5, 1), E(-5,2), F(-1, 3), G(-1, -1)

Answer:

3x^2

Step-by-step explanation:

3x^4-12x^2

Factoring out 3x^2

3x^2 ( x^2 -4)

We can factor (x^2-4) since it is the difference of squares

3x^2 ( x-2) (x+2)

The greatest common factor is 3x^2

Let's find the G.C.F. (Greatest Common Factor) of 3x⁴-12x².

The key words here are "common" and "greatest".

Here are some common factors:-

3

3x

3x²

x

x²

And the greatest common factor is:-

3x²

[If Necessary]

Factor it out by dividing the terms in the polynomial by the GCF:-

x²

4

Subtract the terms:-

(x²-4)

And put the G.C.F. outside the parentheses:

3x²(x²-4)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

∠4 and ∠1 are opposite angles, and since opposite angles are equal, ∠4 =  2x - 8

(if u need a specific number)

∠1 is corresponding to ∠5, and since corresponding angles are equal, ∠5 = 2x-8

∠7 is supplementary to ∠5, and since supplementary angles add up to 180, x + 14 + 2x - 8 = 180

-> 3x + 6 = 180
x = (180-6)/3 = 58.

Since ∠4 = 2x - 8 -> ∠4 = 2 x 58 - 8 = 108.

Answer:

227994

Step-by-step explanation:

Answer:

value x value = product

237 x 962 = product = 227,994

Step-by-step explanation:

hope this helps,

Answer:

The height is 15.992 in

Step-by-step explanation:

1. The equation for a cylinder is [tex]V=\pi r^2h[/tex].  In this case, the equation looks like [tex]615.44=\pi (3.5)^2h[/tex]

2. Isolate h by dividing both sides of the equation by [tex]\pi (3.5)^2[/tex]

3. This leaves us with [tex]\frac{615.44}{\pi (3.5)^2}=h[/tex]

4. Solve for the left side, which leaves us with h = 15.992 (rounded to the nearest thousandth)

Answer:

3.38 cm^3

Step-by-step explanation:

volume of cylinder = pi r^2 h

    10.14 / pi  = r^2 h

volume of a cone =  1/3  pi r^2  h

     V  = 1/3 pi  (10.14/pi)   = 3.38

Answer:

825km

Step-by-step explanation:

150km/h= distance/11/2 hours

150km/h divide by 11/2 hours

=825km

Answer:

825km

Step-by-step explanation:

We have the rule: speed=distance/time

in this question you are asked to calculate the distance covered by the machine boat.

so we deduce from the above rule: distance=speed*time

Given: speed=150km/hr    time=5.5hr   distance=??

Solution: distance=150x5.5 = 825km

Answer:

c
4.2 would mean a 420% chance of something happening which doesnt make sense

The number 4.2 cannot represent the probability of an event because it is greater than one.

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of an event must be less than or equal to one.

So 0.888 can represent the probability of an event because it is a non-negative number that is less than or equal to one.

0, cannot represent the probability of an event because it is a non-negative number but it is not less than or equal to one. This number represents an impossible event.

4.2, cannot represent the probability of an event because is greater than one which means it represents an event that is certain to occur, which is not a probability.

0.39, can represent the probability of an event because it is a non-negative number that is less than or equal to one.

Therefore, the number 4.2 cannot represent the probability of an event because it is greater than one.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ7

Answer:

5/8 is smaller.

Step-by-step explanation:

A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777

Then to compare them you see which is smaller or bigger.

0.77777  is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.

Steps:-

[tex]\\ \rm\rightarrowtail 5:8::7;9[/tex]

[tex]\\ \rm\rightarrowtail 5/8:7/9[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{5(9)}{8(9)}:\dfrac{7(8)}{9(8)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{45}{72}:\dfrac{56}{72}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{45}{56}[/tex]

Answer: -8

Step-by-step explanation:

Answer:

1

log 10

Step-by-step explanation:

In e = 1

In e = log 10

Hope it helps you in your learning process.

Answer:

1 mile = 8.5 minutes

Step-by-step explanation:

Determining the equation:

Kira ran 8 1/5 miles in 69 7/10 minutes.

⇒ Kira = 8 1/5 miles = 69 7/10 minutes

⇒ 41/5 miles = 697/10 minutes

Simplifying both sides:

⇒ 41/5 miles = 697/10 minutes

⇒ 41 miles = 697/2 minutes

Using cross multiplication:

⇒ 41 × 2 miles = 697 minutes

⇒ 82 miles = 697 minutes

Dividing 82 both sides:

⇒ 82 miles = 697 minutes

⇒ 82/82 miles = 697/82 minutes

⇒ 1 mile = 8.5 minutes

Solution:

D. y = –0.5x + 5

In this chart, the slope, (m):

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\hookrightarrow \sf \frac{-6-0}{-2-0}[/tex]

[tex]\hookrightarrow \sf \frac{-6}{-2}[/tex]

[tex]\hookrightarrow \sf 3[/tex]

Equation:

[tex]\sf y_1-y= m(x_1-x)[/tex]

[tex]\hookrightarrow \sf y-(-6)= 3(x-(-2))[/tex]

[tex]\hookrightarrow \sf y+6= 3x+6[/tex]

[tex]\hookrightarrow \sf y+6-6= 3x+6-6[/tex]

[tex]\hookrightarrow \sf y= 3x[/tex]  

⇒ Thus we found in the chart, the slope is 3 and y-intercept : 0

From this D only has the greatest y-intercept than the chart.

Answer:

D

Step-by-step explanation:

Sorry if I'm late for the party, hope this helps anyways! :)

Answer: equation would be 15x+42>7

Step-by-step explanation: first subtract 42 from 7, you would get -35, then divide -35 by 15, which gets you -2.3, meaning your answer is x>-2.3

The least value of the function at which the pendulum is in the center is 0 and the position of the pendulum when t = 4.25 sec. is 4.24

The function is given as:

y = 6cos(πt)

See attachment for the graph of the function

The value of t is given as: -0.5

From the attached graph, the smallest value of the function when t = -0.5 is 0.

Hence, the least value of the function at which the pendulum is in the center is 0.

We have:

y = 6cos(πt)

Substitute 4.25 for t

y = 6cos(4.25π)

Evaluate

y = 4.24

Hence, the position of the pendulum when t = 4.25 sec. is 4.24

#SPJ1

Read more about cosine function at:

https://brainly.com/question/10078563

Answer:

t = 6

next one is 5

Step-by-step explanation:

~Hope this helps! :)

Answer:

g inverse = (1,a),(2,b),(c,3),(4,d)

Step-by-step explanation:

I think the third part of the question should be (c,3) not (2,3)

if it's (2,3) then the inverse becomes (3,2)

Answer:

Inverse of function g = {(1,a),(2,b),(3,2),(4,d)}

Step-by-step explanation:

Hey there! :)

Please see an explanation below for better understanding to the answer - also let me know if you have any questions!

Inverse Function is a function that swaps domain and range.

Domain is the set of all x-values while Range is the set of all y-values, can be defined in coordinate point as (x,y).

If (x,y) is an original function then (y,x) will be an inverse function of original.

We are given the function g = {(a,1),(b,2),(2,3),(d,4)} - swap the domain and range.

Therefore, the inverse of function g is [tex]\displaystyle \large{g^{-1}}[/tex] = {(1,a),(2,b),(3,2),(4,d)}

Answer: Attached photos, and the last question of my explanation.

Step-by-step explanation: If "bracelets cost $3 and necklaces cost $6"  that means we will multiply.

1. for Bracelets (1 bracelet = $3)

(0 x 3 = 0) 1. $0

(1 x 3 = 3) 2. $3

(2 x 3= 6) 3. $6

(3 x 3 = 9) 4. $9

(3 x 4 = 12) 5. $12

Explanation: We have to multiply 5 different numbers to fill in the 5 rows of bracelets & necklaces. (0,1,2,3,4 = 5 numbers). For example, if we buy 2 bracelets, 1 bracelet = $3 and 3*2=6 so it would be 6.

2. for Necklaces (1 necklace equals $6)

(0 x 6 = 0) 1. $0

(1 x 6 = 6) 2. $6

(6 x 2 = 12) 3. $12

(6 x 3 = 18) 4.  $18

(6 x 4 = 24) 5. $24

3. coordinates

1. (0,0)

2. (3,6)

3. (6,12)

4. (9,18)

5. (12,24)

Putting the coordinate pairs on the graphs: the first number is x and the second is y.

5. What is the relationship between the corresponding terms in the two sequences: The second sequence is the product of multiplying sequence 1 and sequence 2.

Answer:

You can set two simultaneous equations and solve it

Let the cost of a plate be x, and the cost of a cup be y.

5x + 4y = 19.6 --- 1

6x + 5y = 23.8 --- 2

25x + 20y = 98 --- 3

24x + 20y = 95.2 --- 4

3 - 4 : x = 2.8

Sub x = 2.8 into 1

5(2.8) + 4y = 19.6

4y = 5.6

y = 1.4

so 1 plate costs 2.8 dollars and 1 cup costs 1.4 dollars

hope this helps!!! please mark brainliest!!!!

[tex] \frak{ \dfrac{67}{6} }[/tex]

Answer: 33.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

rectangle

it has four perpendicular sides

each perpendicular is 90degree

Answer: Rectangle and square

Step-by-step explanation: They both have four right angles

Answer:

the difference between the highest and lowest values in a set of numbers.

Step-by-step explanation:

The discount price of the lawn mower purchased by the store is  $193.45.

The first step is to determine the selling price of the lawn mower.

Selling price = ( 1 + 1.60) x $82.67 = 214.94

Now determine the price after the discount has been applied.

Discount price = (1 - 0.1) x 214.94 = $193.45

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

First, add 3 to both sides:-

[tex]\sf{8p=13+3}[/tex]

[tex]\sf{8p=16}[/tex]

Now, divide both sides by 8:-

[tex]\bigstar{\boxed{\pmb{p=2}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

Let x = cube root of 400

Using a calculator x = 7.368 to 3 decimal places

So: 7 < x < 8