what expression is equivalent to x^2-10x+24

9514 1404 393

Answer:

  38

Step-by-step explanation:

The recursion relation describes an arithmetic sequence with a first term of 2 and a common difference of 4. The explicit formula for the n-th term of the sequence is ...

  f(n) = f(1) +d(n -1) . . . . . for first term f(1) and difference d

  f(n) = 2 +4(n -1) = 4n -2

Then the 10th term is ...

  f(10) = 4(10) -2

  f(10) = 38

Answer:

(2,8)

Step-by-step explanation:

If we plot both points on the graph and start at (4,5) we count up (rise) 2 and to the right (run) 8. This means they are both positive numbers as it goes up and to the right.

*Down or to the left would be negative.

Answer:

A. Right a multiple of 2 and up a multiple of 1.

B. (2, 1)

C. the same

Step-by-step explanation:

A. The original point was (2, 1), so if Larissa moves right a multiple of 2 and up a multiple of 1, she'll stay within the ratio.

B. We already know this is proportional, since it goes through the origin; the line just has to pass through the right point: (2,1)

C. The line will be proportional, so as long x is twice as much as y, Larissa will have the same shade of green paint every time.

Answer:

e = $8.15n

Although this doesn't require an explanation, I am always open to solve any confusion.

Side Note: I used variable E assuming that the period before 'E' was supposed to be a comma which means it was a given variable.

Answer:

E= 8.15n

Step-by-step explanation:

Answer: Any real number x as long as [tex]x \ne 0[/tex] and [tex]x \ne -\frac{2}{3}[/tex]

In other words, anything but 0 or -2/3 is valid.

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

Explanation:

Set the denominator equal to zero and solve for x

2(3x^2 + 2x) = 0

3x^2 + 2x = 0

x(3x + 2) = 0

x = 0 or 3x+2 = 0 .... zero product property

x = 0 or 3x = -2

x = 0 or x = -2/3

If either x = 0 or x = -2/3, then the denominator 2(3x^2 + 2x)  will be zero. But recall that we cannot have zero in the denominator. Dividing by zero is not allowed. The expression is undefined when we divide by zero.

Therefore, we must exclude x = 0 and x = -2/3 from the domain. Any other real number is valid as an x input.

Step-by-step explanation:

A'B'/AB = 5.1/1.7 = 3

B'C'/BC = 7.2/2.4 = 3

A'C'/AC = 7.5/2.5 = 3

These ratios are equal to the scale factor. These ratios are the scale factor.

Answer: 4 days, there are already 28 bushels of apples

Step-by-step explanation:

In 4 days because 25 times 4 is 100.

100 + 28 is 128 which is more than 125.

Answer:

mean- 66

median- 7

mode- 8

range- 6

Step-by-step explanation:

to find the mode you line up all the numbers, add them all together and then divide that number by 2.

to find the median you line up all the numbers then one by one taking turns from left to right you cross of the numbers to find the number in the middle. (think of median as middle)

to find mode you just find the number that is used the most. (mode=most)

to find the range you find the highest number and the lowest number. and subtract the lowest from the highest to find the difference between the 2. in this case its 9-3 so the difference is 6.

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

mean- 6.29

median- 7

mode- 8

range- 6

Hope this helps!! :D

Answer:

1.2 minutes

Step-by-step explanation:

So its saying it takes 6 mins to do 5 laps. Thats a little over a min per lap so we now its going to be over 1.  The first step is to divide 6/5. Then you get 1.2

Answer:

Thinking graphically, these correspond to the graph of the straight line (a) missing the graph of the parabola entirely, (b) kissing the parabola at one point or (c) cutting across the parabola and coinciding with it at 2 points.

Step-by-step explanation:

Explanation:

Graphically, a quadratic equation is a parabola and a linear equation is a straight line.

i hope it helps

Given :

60% of dads prefer to watch football on TV.

40% prefer to watch basketball.

To Find :

If 200 dads were surveyed, how many more preferred football to basketball.

Solution :

Number of dad prefer football over basketball is :

[tex]N = 200\times \dfrac{60}{100}\\\\N = 120[/tex]

Therefore, 120 dad's prefer football over basketball.

Answer:

28

Step-by-step explanation:

70×40% = 28

hdhxjsjcjsx

Answer:

28

Tell me if I am wrong. :) Hope it helps!

Step-by-step explanation:

Answer:

25% chance

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

17 ;-; cant you use a ? calculator?

Step-by-step explanation:

Answer: 9.0

Step-by-step explanation:

Answer:

1 inch represents 60 feet.

Step-by-step explanation:

120/2

= 60

So his scale is 1:60

Answer:

Its 1 inch represents 60 ft

Step-by-step explanation:

you have to divide 120 by 2 and thats 1 inch per 60 feet

Answer:

36%

Step-by-step explanation:

1 = 100%

so 1.36 is increasing by 36%

Answer:

[tex]x - ( - z) = x + z =( - 8)+(- 11) \\ = \boxed{ - 19}[/tex]

Answer:

16

Step-by-step explanation:

Answer:

44°

Step-by-step explanation:

8x-4 = 6x+8

8x - 6x = 8 + 4

2x = 12

x = 12/2

x = 6

then:

8*6 - 4 = 48 - 4 = 44°

The measure of angle 1:

44°

Answer:

Part A: 1.2 minutes

Part B: 0.83

Part C: 25.2

Answer:

a. 1.2 minutes

b. one lap per 1.2 minutes

c. 25.20 minutes

Step-by-step explanation:

a. do 6 mins/5 laps which gives you 1.2, so 1.2 minutes or 1 minute and 20 seconds

b. uh one lap per 1.2 minutes

c. 25.2 minutes which is approx. 25 minutes and 20 seconds. I reallly hope this helps!

Step-by-step explanation:

The given inequality is :

[tex]350\ge 125+15x[/tex] ....(1)

We need to draw graph of this inequality.

Subtract 125 from both sides.

[tex]350-125\ge 125-125+15x\\\\225\ge 15x[/tex]

Dividing 15 to both sides.

[tex]\dfrac{225}{15}\ge \dfrac{15x}{15}\\\\15\ge x[/tex]

Hence, the attached figure shows the graph for this inequality.

Answer:

yes

Step-by-step explanation:

Answer:

the answer is -225

you have to undo the operation that is being done to x. since it's dividing, you have to multiply both sides by 5 to "undo" what had been done. 5*-45= -225

Step-by-step explanation:

i hope this helped :)

Answer:

<D = 100

<E =30

<F =50

Step-by-step explanation

Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e

<A = <D

<B = <E

<C = <F

Given

<A = 100 then <D = 100

<B = 30°, then <E = 30°

To get <F, we will use the expression

<D+<E+<F = 180 (sum of angles in a triangle is 180°)

100+30+<F = 180

130+<F = 180

<F = 180-130

<F = 50°

Hence the measure of <F is 50°

Answer:

option a

Step-by-step explanation:

alternate exterior angle theorem

Answer:

The third graph

Step-by-step explanation:

The third graph is the only graph that could represent the equation because it is the only graph where the line goes through the y-intercept, -2. It is also positive, like the equation says the slope should be.