2. Which of the following shows a translation of f(x) two units to the left?
f(x - 2)
f(x)-
f(x + 2)
f(x) + 2

f(x) = x^2 - 13x + 30

Step-by-step explanation:

A quadratic equation may be expressed as a product of the two binomials. The roots of the equations are 3 and 10, so the factors are (x-3) and (x-10).

f(x) = (x-3)(x-10)  

f(x) = x^2 - 13x + 30

Answer:

x = 5/4

Step-by-step explanation:

x-3=2-3x​

Add 3x to each side

x+3x-3=2-3x​+3x

4x-3 = 2

Add 3 to each side

4x-3+3 = 2+3

4x =5

Divide each side by 4

4x/4 = 5/4

x = 5/4

Answer:

5/4

Step-by-step explanation:

[tex]x-3=2-3x\\-3=2-4x\\-5=-4x\\\frac{-5}{-4} =x\\x=\frac{5}{4}[/tex]

Combine all like terms by moving them to their respective sides, then simplify as best you can.

Answer:

probably 2.................

Answer: 9. n = 2  19/20                                                                                         10. n = 2 1/12

Step-by-step explanation: 3 2/10-1/4 = n                                                           32/10−1/4                                                                                                               32/10+−1/4                                                                                                           16/5+−1/4                                                                                                                 64/20+−5/20                                                                                                         n = 59/20                                                                                                               n = 2 19/20                                                                                                             2 5/6-3/4 = n                                                                                                         17/6-3/4                                                                                                                   17/6+-3/4                                                                                                               34/12+-9/12                                                                                                             n = 25/12                                                                                                               n = 2 1/12                                                                                                                                                                                                                                  

Answer: Choice B

Discriminant = -4; no real solutions

===========================================================

Explanation:

The given quadratic is x^2-4x+5, which is the same as 1x^2-4x+5

We see that

a = 1

b = -4

c = 5

The discriminant is

d = b^2 - 4ac

d = (-4)^2 - 4(1)(5)

d = 16 - 20

d = -4

The discriminant is -4. The negative discriminant means that we have no real solutions. Instead, the two solutions are nonreal complex values in the form [tex]a+bi[/tex] where [tex]i = \sqrt{-1}[/tex]

Answer:

The discriminant is -4, so the equation has no real solutions.

Step-by-step explanation:

The discriminant of the quadratic polynomial [tex]ax^2 + bx + c[/tex] with [tex]a\not= 0[/tex] is:

[tex]\Delta = b^2 -4ac[/tex]

So our variables are:

[tex]a = 1[/tex]

[tex]b = -4[/tex]

[tex]c = 5[/tex]

Replacing in the formula for find the discriminant we have:

[tex]4^2 - 4(1)(5) = 16 -20 = -4[/tex]

Now if  you remember the quadratic formula is the next

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

The discriminant appear inside a square root that's meaning that is impossible have negative values inside an even root (in the real numbers).

If we try to find the square root of negative 4 that's meaning find a number that multiply by itself give me -4.

[tex]2 \cdot 2 = 4\\-2 \cdot -2 = 4[/tex]

How you can see is impossible get the solution of a negative base (the base is the number inside the root) when is an even root. In a general case this would be of the next form:

[tex]\sqrt[2n]{-a} = \text{not found}[/tex]

For this we can assure that doesn't exist solutions in the real numbers,  so the equation has no real solutions.

Step-by-step explanation:

From the table of values, it is clear that Alana chose the points (2,4) and (6,6). She also used this formula to find the slope:⤵⤵⤵

(sorry if it's a bit small btw)

[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]

She plugged in her values like so:

[tex] \frac{6 - 2}{6 - 4} [/tex]

But, right away we can tell that she put the values in the wrong places, because the y-values are supposed to be on top while the x-values are supposed to be on the bottom. Yet in this case, you can see that the 2 is an x-value, meaning she put it on the top, and thus the slope is wrong.

The correct way would be if she switched them around, where the y-values are on top and the x-values are on the bottom. With this in mind, the slope would actually be 2/4 which if you simplify it, it would be 1/2.

This is essentially your answer, feel free to use some of my words, if need.

Hope this helps :)

Answer:

66 Cents per pound

Step-by-step explanation:

1 ton = 2,000 pounds

5 tons = 10,000 pounds

10,000 pounds = $6,600

1 Pound = $0.66

Answer:

25%

Step-by-step explanation:

25 percent decrease or reduction from 40 is 30

Answer:

3b

Step-by-step explanation:

Answer:

y = 2x + 2

Step-by-step explanation:

Slope = (change in y-values)/(change in x-values)

Slope = (-6 - 6)/(-4 - 2)

Slope = -12/-6

Slope = 2  

Use the slope = 2 and point (2, 6) and substitute into y = mx + b to solve for b.

y = mx + b

6 = 2(2) + b

6 = 4  + b

b = 2

The equation is y = 2x + 2

Answer:

10.6 km/h

Step-by-step explanation:

avg. speed in km/h literally tells us how much distance (in km) the cyclist travels in an hour. An hour happens to be double that of 30 minutes, so the distance will be double of 5.3km. The distance over an hour is 10.6km, so the speed is 10.6km/h.

Alternatively, you can simply divide distance by time:

5.3km / 30min = 5.3km / (1h / 2) = 5.3km * 2 / 1h = 10.6km/h

Answer:

hope this helps

Step-by-step explanation:

5.3 km 3.293 miles so the average speed would be 6.59 mph

Answer:

The equation for the nth term of the arithmetic sequence is:

[tex]a_{n} = a + (n-1)d\\[/tex]

The [tex]a_{30}[/tex] is 140

Step-by-step explanation:

"a" represents the first term which is -5.

"d" represents the common difference which is 5.

To find the common difference, just subtract the 2nd and 1st term.

0 - (-5) = 5

Now put the values in the equation:

[tex]a_{n} = a + (n - 1)d\\a_{n} = (-5) + (n - 1)5[/tex]

We are finding the 30th term so just put 30 to the "n" to help us find the 30th term of the sequence.

[tex]a_{30} = -5 + (30-1)5\\a_{30} = -5 + (29)5\\a_{30} = -5 + 145\\a_{30} = 140[/tex]

So the 30th term is 140

Answer:

0.501>0.051

Step-by-step explanation:

Answer:

0.501 > 0.051

Step-by-step explanation: blah

Answer:

x = 32

Step-by-step explanation:

3x -4 + 3x -8 = 6x -12

6x-12 = 180

in an equation, you do the same to both expressions

6x -12 +12 = 6x. 180+12 = 192

6x / 6 = x. 192 / 6 = 32

x = 32

Gravity is measured in squares units..

Using the other units given, meters and seconds, gravity would be : meters per second squared

Answer:

meters per second

Step-by-step explanation:

Answer:

Its D because the 1=1 and 2=2 + Fish

Step-by-step explanation:

        [] The positive interval is where the function is above the x-axis, and the negative interval is where the function is below the x-axis.

        [] To find it, we can graph the function

                    () See attached

        [] When the function is equal to less than 0, it'll be negative, otherwise it is positive

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

A. 1/5

Step-by-step explanation:

1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

2. (Solving)

Therefore, the answer is A. 1/5.

[tex]\huge \bf༆ Answer ༄[/tex]

Consider two points (-1 , 2) and (4 , 3)

Slope (m) of the graph is : -

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

Answer:

7! = 5040

Step-by-step explanation:

7! is a factorial expression that can be solved as follows:

7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

Therefore, 7! = 5040

Answer:

500: starting amount

(1 + 0.02): interest/growth rate

x: time

Step-by-step explanation:

Answer: Profit

Step-by-step explanation:

1.  She made profit

2. She got 300 more than what she bought it for.

3. Her percentage was I think 25% more ( i am not sure on this one)

Answer:

200 + 3x + 5x ≤ 720

(or simplified, 200 + 8x ≤ 720)

and x = 65

Step-by-step explanation:

x represents the number of rides

3 + 5 = 8

720-200 = 520

520/8 = 65

The inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality showed greater than and less than the relationship between variables and the numbers.

Given that the number of time operators of a popular amusement park ride spends loading, safety checking, and unloading guests is 5 minutes per ride. The operators also spend 200 minutes each day completing other ride-related and guest-service tasks while the ride cars are in the station. The ride itself takes 3 minutes to complete. If the amusement park is open on Saturdays for 12 hours (720 minutes),

The inequality will be written as below,

200 + 3x + 5x ≤ 720

Here, x represents the number of rides

3 + 5 = 8

720-200 = 520

520/8 = 65

Therefore, the inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

Answer:

41. - 0.8

42. - 2.375

43. - 0.625

44. - 0.833

45. - 3.667

46. - 0.5

Step-by-step explanation:

Before reading this, every integer represents the whole amount, like 1 is 1 of something, 2 is 2 of something, 3 is 3 of something, and 4 is 4 of something.

1/5 = 0.2

1 - 0.2 = 0.8

1/4 = 0.25

1/8 = 0.125

1 + 1 = 2

0.25 + 0.125 = 0.375

2 + 0.375 = 2.375

3/8 = 0.375

1 - 0.375 = 0.625

2/3 = 0.667

1/2 = 0.5

4.5 - 3.667 = 0.833

1/2 = 0.5

1/6 = 0.167

2 + 1 = 3

0.5 + 0.167 = 0.667

3 + 0.667 = 3.667

1/4 = 0.25

0.25 x 2 = 0.5

Brainly?

Answer:

90% correct

Step-by-step explanation:

You want to make calculating easy and to do this, you multiply write out 18 out of 20 like a fraction, 18/20, and multiply both the numerator and the denominator by 5 because 20*5 = 100. 18*5 = 90. 90/100 is the same thing as 90%. Hope this helps!

Answer:

yes the outcomes are equally likely

Step-by-step explanation:

12 = red yellow green

12 = 3

12/3

4

red balls are 4

yellow balls are 4

green balls are 4

so the outcome is equal for all the colour of the balls

Answer:

36a and 2x-3.that is the answer

Answer:

Finding the volume of a rectangular prism is a straightforward task - all you need to do is to multiply the length, width, and height together: Rectangular prism volume = length * width * height. Where can you use this formula in real life? Let's imagine three possible scenarios: You bought a fish tank for your golden fish . It's in a regular box shape, nothing fancy, like a corner bow-front aquarium. If …

Step-by-step explanation: