A train travels 18 kilometers in 12 minutes. At this rate, how far does the train travel in 1 minute?
kilometer(s) per minute

Answer:

5x^2 +28x - 100

Step-by-step explanation:

f(x)=7x^2−2 and g(x)=2(x−7)^2

First simplify g(x)

g(x) = 2 ( x-7)(x-7) = 2( x^2 - 7x -7x +49) = 2(x^2 -14x +49) = 2x^2 -28x +98

Now f(x) - g(x)

f(x) - g(x) = 7x^2−2 - (2x^2 -28x +98)

Distribute the minus sign

            = 7x^2−2 - 2x^2 +28x -98

Combine like terms

            = 5x^2 +28x - 100

Answer: 3

Step-by-step explanation:

Given

[tex]f(x)=\dfrac{1}{3}3^x[/tex]

[tex]g(x)=2x+4[/tex]

For [tex]f(x)<g(x)[/tex] to be true, the domain is given by observing the graph of two i.e. [tex]x\in (-1.981,3.117)[/tex]. In this range [tex]g(x)[/tex] is greater than [tex]f(x)[/tex].

From the above domain largest integer that can satisfy the condition is 3.

Answer:

use photo math

Step-by-step explanation:

go to gogle play if you have android, look for the a search bar it is usually on the top right. type in photo math in the key pad. install it

its triangle and 7.3 and 23.7 hope this helps

Answer:

12a

Step-by-step explanation:

Use the distributive property and distribute 3 into 4a.

The expanded form of the expression 3(4a) is, 12a.

There are three types of basic arithmetic laws of operation.

Commutative law for addition and multiplication states,

a + b = b + a.

a×b = b×a.

Distributive law states,

a(b ± c) = ab ± ac.

Associative law states,

a + (b + c) = (a + b) + c.

Given, An expression 3(4a),

We know in algebra we write multiplications a×b as, ab or a.b.

Therefore, the expanded form of the expression 3(4a) is,

= 3×4×a.

= 12×a.

= 12a.

learn more about arithmetic laws here :

https://brainly.com/question/25834626

#SPJ7

Answer:

C. Saying​ "data vary" means that the values of the variable change from individual to individual. In​ addition, certain variables can change over time for certain individuals. Because data​ vary, two different statistical analysis of the same variable can lead to different results.

Step-by-step explanation:

Variation in data may be explained as the non-uniformity in the values assigned to each individual variable in the data table. As a result of the non-uniformity or differences which exists in the values assigned to individual variables or changes due over time. This will usually lead to differences in the statistical result obtained when data undergoes analysis.

Answer:

Yes

Step-by-step explanation:

Given that

Y = 10x

we need to find that whether it is a proportional or not

So here we can say that proportional relationship would be expressed in the form of

y = kx

And, k represent the constant

Therefore

y = kx equivalent to Y = 10x

Both the expression is same

Therefore it is proportional

Answer:

a^2 + b^2 = c^2

a^2 + 32^2 = 58^2

a^2 + 1024 = 3364

a^2 = 2340

a = 48.37

Step-by-step explanation:

Answer:

x = 33.49

Step-by-step explanation:

I took the the test and got this answer, sorry for the not so detailed explanation

have a decent day

Answer:

$7.5

Step-by-step explanation:

4 bottles cost = $5

Then 1 bottle costs:

$5/4 = $1.25

Then 6 bottles cost:

$1.25*6 = $7.5

Answer:

hey, sorry i cant see the image so whats the problem here? i would gladly help!

Step-by-step explanation:

Answer:

this question doesn5t make sence

Step-by-step explanation:

Answer:

please explainn

Step-by-step explanation:

Answer:

Step-by-step explanation:

6600

The car is about $6529.12 eleven years after it was bought.

The formula below can be used to determine a car's value after a particular number of years if its value depreciates by half every five years:

[tex]\rm P=P_{\circ} \left ( \dfrac{1}{2} \right)^{x/5}[/tex]

Here, x is how long ago the car was bought.

With x = 11 and a starting value of $30,000, this calculation yields:

[tex]\rm P=$30,000 \times \left ( \dfrac{1}{2} \right)^{11/5}\\[/tex]

Simplify the equation, then we have

P = $30,000 x 0.2176

P = $6529.12

The car is about $6529.12 eleven years after it was bought.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

Answer:

-14y + 30

Step-by-step explanation:

Tell me if I am wrong but I think this is it.

Answer:

-14y+30

Step-by-step explanation:

Hope this helpss

Answer:

a= 90 i think

hope this helped

Answer:

Solution given:

AB parallel BH parallel CH

1.

In triangle ∆AFD ,∆BGD ,∆CHD

<AFD=<BGD=<CHD

[being corresponding angle]

<DAF=<DBG=<DCH

[being corresponding angle]

<D is common for all.

So

∆AFD ~∆BGD ~∆CHD

[By A .A .A. axiom]

Answer:

c

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

Clint would have to run 127 yards next game to average the same number of yards as Jack.

Step-by-step explanation:

First, we find the boys' averages by adding all their yards and then dividing by the number of games.

For Jack, we get 490 yards in total, which we divide by 5, the number of games. We get a 98 yard average.

For Clint, we get 461 yards in total, which we divide by 5, the number of games. We get a 92.2 yard average.

We know Clint wants to average 98 yards at the end of the next game. That would make 6 games total. We can multiply 98 x 6 to get the total number of yards for a 98 yard average in 6 games. We get 588 yards in total. Clint already ran 461 yards in total, so we can subtract that from 588. We have 127 yards left. We now know that Clint needs to run 127 yards in the next game for a 98 yard average.

The number of yards that client needs to run in his next game to average the same number of yards as jack will be 127.

The mean is the average of a data set. Mean gives us an idea of that how small the amount of overall data have.

In other words, the mean is the foundation of the deviation of data from all data sets.

Mean = sum of data / Number of data

The average of Jack = (123 + 87 + 108 + 80 + 92)/5 = 98

The average of Clint = (88 + 101 + 96 + 92 + 84)/5 = 92.2

To make this average 98 let's say Clint's score in the next game is x.

Mean = (88 + 101 + 96 + 92 + 84 + x)/6 = 98

(92.2 x 5 + x) = 98 x 6

x = 127

Hence"Clint needed to add 127 to be mean as same as Jack".

For more about the mean,

https://brainly.com/question/17060266

#SPJ2

Answer:

(-4,-2)

Step-by-step explanation:

B(3,4)

x=3 , y=4

(3-7,4-6)

(-4,-2)

Transformation involves changing the position of a shape.

The coordinates of B after the translation is (-4,-2)

The vertices are given as:

[tex]\mathbf{A =(1,1)}[/tex]

[tex]\mathbf{B =(3,4)}[/tex]

[tex]\mathbf{C =(-1,8)}[/tex]

The translation rule is given as:

[tex]\mathbf{(x-7,y-6)}[/tex]

So, the coordinates of B' is calculated using:

[tex]\mathbf{(x,y) \to (x-7,y-6)}[/tex]

This gives

[tex]\mathbf{(3,4) \to (3-7,4-6)}[/tex]

[tex]\mathbf{(3,4) \to (-4,-2)}[/tex]

Rewrite as:

[tex]\mathbf{B' = (-4,-2)}[/tex]

Hence, the coordinates of B after the translation is (-4,-2)

Read more about translations at:

https://brainly.com/question/12463306

Answer:

Linear function 2

Step-by-step explanation:

If Linear function 1 has an x-intercept of 4,0 and a y-intercept of 0,22

It's a negative equation, Its not increasing Its decreasing.

So it must be Linear function 2

Answer:

the answer is

8:24

Step-by-step explanation:

hope it helps

Answer: Independent

Step-by-step explanation: I think this is probability..I assume it's probability right?

Answer: The perimeter is 20 cm

Step-by-step explanation: The top and bottom are same length, so 6+6, and the sides are the same length, so 4+4 don’t forget it’s cm and it becomes 20 cm.

PERIMITER = ADDING ALL SIDES

AREA = MULTIPLYING

Answer:

I beileve it is Y.

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation MARK AS BRAINLIEST!!

Answer:

4/25 (Srr if incorrect)

Step-by-step explanation:

Answer:

22 is the range for the data set.