Factor completely 4x2 − 8x + 4.

Answer:

60 miles

Step-by-step explanation:

Create an equation where y is the total cost and x is the number of miles traveled.

0.8x will represent the cost from the miles traveled. 8.5 will be added to this to represent the taxi cost and additional charge from tolls:

y = 0.8x + 8.5

Plug in 56.50 as y and solve for x, the number of miles:

y = 0.8x + 8.5

56.5 = 0.8x + 8.5

48 = 0.8x

60 = x

So, you can travel 60 miles

Answer:

0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A number is selected at random from each of the sets {2,3,4} and {1, 3, 5}.

The possible values for the sum are:

2 + 1 = 3

2 + 3 = 5

2 + 5 = 7

3 + 1 = 4

3 + 3 = 6

3 + 5 = 8

4 + 1 = 5

4 + 3 = 7

4 + 5 = 9

Find the probability that the sum of the two numbers is greater than 3 but less than 7?

​4 of the 9 sums are greater than 3 but less than 7. So

[tex]p = \frac{4}{9} = 0.4444[/tex]

0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.

Answer:

y = 3(3x - 1)

Step-by-step explanation:

Given the equation :

24x-12=4y-12x

Collect like terms

24x + 12x = 4y + 12

36x = 4y + 12

4y = 36x - 12

Divide through by 4

4y / 4 = 36x / 4 - 12 / 4

y = 9x - 3

y = 3(3x - 1)

Hence, y = 3(3x - 1)

Answer: …

Step-by-step explanation: you need an image

Answer:

what expression?

Step-by-step explanation:

Answer:

4 + 5i

Step-by-step explanation:

To calculate this you have to combine the like terms until they cannot be combined any further:

7 + 10i + 4 - 10i - (7 - 5i)

11 + 0i - 7 - 5i

7 & 4 are liked terms so add them together + subtract 10i and 10i

4 + 5i  <--- Final answer

Hope this helps!

Answer:

4 + 5i

Step-by-step explanation:

(7 + 10i) + (4 - 10i) - (7 - 5i)

7 + 10i + 4 - 10i - (7 - 5i)

11 - 7 + 5i

4 + 51

Answer:

3^5

Step-by-step explanation:

On the iPad it looks like that but the five is on the top right smaller

Answer:

3⁵

every 3 has it own power that is 1 however that .3 confused us

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Answer:

  12

Step-by-step explanation:

In base-5 arithmetic, ...

  41 -24 = 12

_____

If we use : to separate columns with different place value, this can be looked at a couple of ways.

Subtraction by addition

  2 : 4 + 0 : 2 = 3 : 1 . . . . . make the 1s place match

  3 : 1 + 1 : 0 = 4 : 1 . . . . . . make the 5s place match

The total amount added was 0:2 +1:0 = 1:2.

Subtraction using borrowing

  4 : 1 - 2 : 4 = (4-1) : (5+1) - 2 : 4

  = (4-1-2) : (5+1)-4 = 1:2

Answer:

The answer is D, the last one.

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Answer:

  (d)  opens up, (1, -3), narrower

Step-by-step explanation:

The factor of +2 multiplying the function tells you the graph is expanded vertically by a factor of 2. The parent function opens upward, and the positive sign on this expansion factor does not change that. The expansion means that y-values will be farther from the vertex for the same x-value distance from the vertex. This give the appearance of a narrower graph.

As always, the transformation ...

  f(x -h) +k

moves the vertex from (0, 0) to (h, k). Here, you have (h, k) = (1, -3), so that is the location of the vertex of the transformed function.

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Answer:

  x = 30°

Step-by-step explanation:

The lines will be parallel if and only if the sum of the marked angles is 180°:

  4x +2x = 180°

  6x = 180° . . . . . collect terms

  x = 30° . . . . . . . divide by 6

Answer:

option d is correct one in which value of T lies

Answer:

x = 4

y = 3

Step-by-step explanation:

Given equations :-

Second equation can be written as ,

Adding them :-

Put this in (ii) :-

Answer:

c c c c c c c c c c c c c c c c c c c c

Answer:

the value of the following 8711×99+8711 is

Step-by-step explanation:

871100

Answer:

871100

Step-by-step explanation:

use BODMAS

first multiply 8711×99

=862389

Then add 862389+8711

=871100

Answer:

35

Step-by-step explanation:

square root of 1225 is 35

Answer:

Write 1225 as 5 x 5 x 7 x 7

So, 52 x 72 = 1225

So (5 x 7)2 = 1225

So √1225 = 5 x 7 = 35

Answer:

D. √2 : 1

Step-by-step explanation:

The hypotenuse = 4√2 (longest side of a right triangle)

The given side = 4

Ratio of the hypotenuse to the given side = 4√2 : 4

Simplify by dividing both numbers by 4

√2 : 1

Answer:

0.2

Step-by-step explanation:

The total number of points in PS is a sum of the number of points in :

PQ + QR + RS ;

PQ = 7 ; QR = 13 ; RS = 5

PS = (7 + 13 + 5) = 25

Probability that point selected at random is in RS ;

Required outcome = point in RS

Total possible outcomes = points in PS

Probability = RS / PS = 5 / 25 = 0.2

Answer:

8x-7y=6

or, -7y=-8x+6

or, y=8x/7-6/7

so the slope is 8/7

8x-y=-8

or, -y=-8x-8

or, y=8x+8

So the slope is 8

Both has different slope and they don't satisfy the property of being perpendicular to each others, so they're neither parallel nor perpendicular.

Answered by GAUTHMATH

Answer:

A

Step-by-step explanation:

Number of suitcases on a plane is discrete because you can only have an integer amount. You can't have a fraction of a suitcase on a plane.

Answer:

It's the last one

Step-by-step explanation:

(3x-1)-(x²+4)

3x-1-x²-4

-x²+3x-5

Answer:

4 times  longer

Step-by-step explanation:

1/2 of a hour is 30 minutes

2 hours is 120 minutes

120 ÷ 30  = 4

4 times longer

Answer:

The answer is 4 hours.

Step-by-step explanation:

Think of it like this:

1/2 = 0.5 in decimal form.

2 ÷ 0.5 = 4

I hope this helps. Have a GREAT day!

Answer:

52, 43

Step-by-step explanation:

the first instinct might be to make the first number as big as possible : 54

that leaves for the second number 2 and 3, and the largest combination here is 32 (larger than 23).

54×32 = 1728

but, the area of a rectangle (and that is what we are calculating here) is the larger, the closer the lengths of its side are.

so, a bigger difference between length and width creates a smaller area, than a smaller difference between length and width for similar lengths.

so, what if we sacrifice just a little bit of the length, and make it 53 ? that opens up 4 for the second number, giving us 42 as width. they are much closer to each other with still very similar length.

53×42 = 2226

you see ? much bigger.

let's experiment further and pick 52 as length.

that gives us 43 as width.

52×43 = 2236

and again a little bit closer and with bigger result.

you see, in the previous case we "added" comparably to this last case a 42 (53×42 instead of 52×42), and in the last case we added a 52 (52×43 instead of 52×42) creating the difference of 10.

but of course, this only works, if we don't decrease the length too much.

Answer:

Using each of the digits 2 through 5 only once, write 2 two-digit whole numbers whose product is as large as possible.

Answer:

5,5,6,6,13

Step-by-step explanation:

Mode means most often.  The 5 numbers has 2 modes 5 and 6

This means that 4 of the numbers must be 5,5,6,6

Median means the middle number must be 6

5,5,6,6,x is the only way to to get the middle number to be 6

We need to average to 7

(5+5+6+6+x) /5 = 7

(5+5+6+6+x) /5  *5= 7*5

(5+5+6+6+x) =35

22+x = 35

x = 35-22

x = 13

The other number is 13

Answer:

$35,000

Step-by-step explanation:

if $50,000 is to install an area of 1,000 square feet swimming pool and $35,000 can be used to install an 800 square foot swimming pool I think the best graph model is 800 square feet for $35,000 for a cost cut of $15,000 is a good bargain

Step-by-step explanation:

[tex]\tan^2 \theta - 3\tan \theta + 2 = 0[/tex]

Let [tex]x = \tan \theta[/tex]

We can then write

[tex]x^2 -3x + 2 = 0\:\:\Rightarrow\:\:(x - 2)(x - 1) = 0[/tex]

or

[tex](\tan \theta - 2)(\tan \theta - 1) = 0[/tex]

The zeros occur when

[tex]\tan \theta = 2\:\:\:\text{or}\:\:\:\tan \theta = 1[/tex]

or when [tex]\theta = 63.4°[/tex] or [tex]\theta = 45°[/tex].

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Answer:

  (a) max: None; min: -5

  (b) max: 5; min: None

Step-by-step explanation:

a) The upward pointing arrow on the end of the graphed curve tells you that the graph extends upward indefinitely. There is no absolute maximum value.

The solid dot at (-4, -5) is the lowest point on the graph. That tells you the absolute minimum is -5.

__

b) The solid dot at (-4, 5) is the highest point on the graph. That tells you the absolute maximum is 5.

The open dot at (3, -5) is the lowest point on the graph. This means values of the function can be arbitrarily close to -5, but -5 is not one of them. There is no absolute minimum value.

width = x

length = 3 + x

perimeter = x + x + ( 3 + x ) + (3+x)

18 = x + x + ( 3 + x ) + (3+x)

x + x + ( 3 + x ) + (3+x) = 18

6 + 4x = 18

4x = 12

x = 3

Answer:

547 500

Step-by-step explanation:

Interest for 1 year:

0.01%×365=3.65 a year

3.65×10=36.5% for 10 years

36.5×1,500,000÷100=547 500

The interest paid after 10 years is 547 ,500 Baht.

Interest is the amount paid or earned when a loan is taken or an investment is done respectively.

It is given that

Principal = 1,500,000 Baht

Rate = 0.01 % per day

Time period = 10 years

Interest = ?

Interest = P *R *T/100

Interest = 1500000 * 0.01 *365* 10 / 100

Interest = 547,500 Baht

Therefore the interest paid after 10 years is 547 ,500 Baht.

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Answer:

y=1/2x+1/2

Step-by-step explanation:

In order to find the slope, you can use rise/run, in this case, the slope is 1/2 and the y-intercept is at (0, 0.5)

Answer: yes

Step-by-step explanation: