What is the correct factorization of x^2-10x-24

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The x-values in each table are evenly-spaced (increasing by 2). So, the quadratic function can be identified by its second differences: they will be a non-zero constant.

Table 1 has first differences that are constant at 3. -2-(-5) = 3, for example. It represents a linear function.

Table 2 has first differences of 4, 8, 4, 4, neither constant, nor linearly increasing. The function does not have a name.

Table 3 has first differences of -9, -3, +3, +9, and these have differences of +6. This represents a quadratic function.

Table 4 has first differences of 0.5, 1, 2, 4. These have a constant ratio, as do the values in the table. It represents an exponential function.

The table that represents a quadratic function is C. Table 3.

A quadratic function simply means a function that's in the form of f(x) = ax² + bx + c.

In this case, the table that represents a quadratic function is table 3. It has first differences of -9, -3, +3, +9, and these have differences of +6. It can be deduced that in the quadratic function, b and x are numbers.

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Answer:

[tex]2x^2+x[/tex]

Step-by-step explanation:

The orange box shown is a rectangle; the area formula for rectangles is [tex]l*w[/tex]. Where [tex]l[/tex] is the length and [tex]w[/tex] is the width. So, multiply the binomial to solve. Do this by multiplying [tex]x[/tex] by both 2x and 1. This equals [tex]2x^2[/tex] and [tex]x[/tex]. Add the terms together for the final answer, [tex]2x^2+x[/tex].

Answer:

4/9

Step-by-step explanation:

The probability that the spinner lands on a 5 or a multiple of 3 will be 0.4444 or 44.44%.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

You spin a spinner with 9 equal spaces numbered 1 through 9.

Then the probability that the spinner lands on a 5 or a multiple of 3 will be

The total number of the event will be

Total events = 9

The favorable event will be

Favorable = 1 {5} and 3 {3, 6, 9}

Then the probability will be

P = 1/ 9 + 3/ 9

P = (1 + 3) / 9

P = 4/9

P = 0.4444

P = 44.44%

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Answer:

(a) x = [tex]128^{o}[/tex]

(b) x = [tex]74^{o}[/tex]

Step-by-step explanation:

A. sum of angles in a polygon = (n - 2) 180

The polygon given is an irregular pentagon, where n = 5

So that;

sum of angles in a pentagon = (5 - 2) 180

                        = 3 x 180

                        = [tex]540^{o}[/tex]

Thus,

x + 90 + 76 + 110 + 136 = [tex]540^{o}[/tex]

x + 412 = [tex]540^{o}[/tex]

x = [tex]540^{o}[/tex] - 412

x = [tex]128^{o}[/tex]

B. The polygon given is an irregular pentagon, where n = 5.

Let the supplementary angle with angle 38 be represented by y,

y + 38 = 180

y = 180 - 38

  = [tex]142^{o}[/tex]

y = [tex]142^{o}[/tex]

Let the supplementary angle with x be represented by z, so that;

z + 72 + 120 + 100 + 142 = [tex]540^{o}[/tex]

z + 434 = [tex]540^{o}[/tex]

z = [tex]540^{o}[/tex] - 434

  = [tex]106^{o}[/tex]

z = [tex]106^{o}[/tex]

But, x + z = [tex]180^{o}[/tex]

Then;

x + [tex]106^{o}[/tex] = [tex]180^{o}[/tex]

x = [tex]180^{o}[/tex] - [tex]106^{o}[/tex]

  = [tex]74^{o}[/tex]

x = [tex]74^{o}[/tex]

Answer:

I expect 2 and4 and 6 and 8 and 10

Answer:

y-7=-4(x+2)

Step-by-step explanation:

y-y1=m(x-x1)

y-7=-4(x-(-2))

y-7=-4(x+2)

Answer:

That's correct it actually helped me alot... Thanks

Answer:

The compound interest one is better by about 14 bucks.

Step-by-step explanation:

Simple interest:

500(1+.06*10)=800

Compound interest:

500(1+.05)¹⁰=814.45

Answer:

Angle #4

Step-by-step explanation:

4 & 5 are equal, and opposite.

1 & 2 are also congruent by this standard.

Answer:

1.1+2. =3

2.1+2+3 =6

3.1+2+3+4 =10

4.1+2+3+4+5=15

5.1+2+3+4+5+6=21

6.1+2+3+4+5+6+7=28

triangle numbers

Answer:

Step-by-step explanation:

Diagram  (n)               Number of circles  ([tex]T_n[/tex])

 1                                       3

 2                                      6

 3                                      10

 4                                       15

 5                                       21  

 6                                       28

Pattern:

      [tex]T_n = \frac{(n+1)(n+2)}{2}[/tex]          

Where n = diagram number,        

OR

Diagram                                               Number of circles

 1                                                                  1 + 2

 2                                                                 1 + 2 + 3

 3                                                                  1 + 2 + 3 + 4

 4                                                                  1 + 2 + 3 + 4 + 5

 5                                                                  1 + 2 + 3 + 4 + 5 + 6

 6                                                                  1 + 2 + 3 + 4 + 5 + 6 + 7

 n                                                                  1 + 2 + 3 + 4 + 5 + . . . + (n + 1)  

Answer:

answer:

(x+34)+(2X+2)=180

3X+36=180

X=72

Step-by-step explanation:

Answer:

Step-by-step explanation:

35

Answer:

$138.75

Step-by-step explanation:

t = total purchase

t = 125 + 125(11%)

 = 125 + 13.75

t = 138.75

The total purchase was $138.75.

we assume the height of the triangle is x,

so the base length will be x+4

the triangle area will be area = 1/2 ( base * height)

48 = 1/2 (x + 4) x

96 = x2 + 4x

96 + 4 = x2 + 4x + 4

100 = (x + 2)2

10 = x + 2 (for the square 100, we ignore the -10, minus is meaningless in length )

x = 8

x + 4 = 8 + 4 = 12

so the height for the triangle is 8 unit, base is 12 unit,

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the answer is 15 ten thousand because all the other except this is equal to 15,000

Answer:

Step-by-step explanation:

We have two sides of the triangle and the included angle and we need to find the missing side.

Use the law of cosines:

4x²+9x+2= 4x²+8x+x+2= 4x(x+2)+1(x+2)=(4x+1)(x+2)

Answer:

Step-by-step explanation:

4x^2+9x+2

4x^2+(8+1)x+2

4x^2+8x+x+2

4x(x+2)+1(x+2)

(4x+1)(x+2)

Answer:

can you send the picture of that so we can figure out?

Answer:

I'm not good at math

Step-by-step explanation:

Answer:

the volume is about 1884

Step-by-step explanation:

v of cone= 1/3(pi)r^2h

diameter to radius is 30=5.477225575051661

so 1/3(3.14)5.477225575051661^2(60)

=1/3(3.14)30(60)

=1/3(5652)

=1884

hope this helps

Answer:

Step-by-step explanation:

Answer:

Joe Will need to pay a commission of [$7.50]. The Total amount Charged by the broker will be [$17.50]

Step-by-step explanation:

Joe will need to pay a commission of [tex]\$7.50[/tex] and Total amount charged by broker will be [tex]\$17.50[/tex].

Commission is a form of money pay as remuneration for services rendered or products sold.

We have,

Joe's current portfolio  [tex]=\$ 50,000[/tex]

Price of one stock [tex]=\$15[/tex]

So,

As his portfolio is less than [tex]\$100,000[/tex], he have to pay [tex]15\%[/tex] and [tex]\$10[/tex] trade fee,

So,

Price of [tex]50[/tex] shares [tex]=50*15=\$750[/tex]

Commission charge [tex]=1\%\ of\ 750[/tex]

                                  [tex]=\$7.5[/tex]

So, commission of [tex]\$7.5[/tex] will be paid.

So,

Total amount charged by Broker [tex]=10+7.5=\$17.5[/tex]

Hence, we can say that Joe will need to pay a commission of [tex]\$7.50[/tex] and Total amount charged by broker will be [tex]\$17.50[/tex].  .

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Answer:

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

Step-by-step explanation:

The figure shown represents a segment of length 23 divided into five shorter segments. Of these five shorter segments, one has length 17 and four have length [tex]x[/tex]. Therefore, we have the following equation:

[tex]17+x+x+x+x=23,\\17+4x=23,\\4x=6,\\x=\boxed{\frac{3}{2}}[/tex]

Answer:

100

Step-by-step explanation:

If there are 100 birds on a tree and you shoot 1, that bird is still on the tree. So there are 100 birds.

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Assuming that there are only 2 flavors of the sweet ⇻ strawberry & orange.

____________________

P (strawberry flavored sweet) = 0.8

P (orange flavored sweet) = ?

____________________

Now, we know that ➳ the value of probability ≤ 1. So, the probability of orange flavored sweets is less than 1.

____________________

So,

P (orange flavored sweet) = 1 - P (strawberry flavored sweet)

P (orange flavored sweet) = [tex]\large\bold{1.0 - 0.8}[/tex]

P (orange flavored sweet) = [tex]\large\bold{0.2}[/tex]

____________________

✐ The probability that the sweet is orange flavored is 0.2

____________________

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# ꧁❣ RainbowSalt2²2² ࿐

Answer: (below)

Step-by-step explanation:

The functions shown are exponential functions, which have the form f(x) = a*(b)^x. "a" represents the intial value, while "b" represents the growth factor.

To determine whether a function is growing or decaying, you look at the growth factor. If the growth factor is greater than 1, the function is growing, since each value is getting larger and larger. Meanwhile, if the growth factor is between 0 and 1, the function is decaying, since each value is getting smaller and smaller.

Now, back to this question, let's look at our functions. In the function on the left, the growth factor is 0.87, which is between 0 and 1, so this function is decaying. For the function on the right, the growth factor is 1.25, which is greater than 1, so this function is decaying. Next, let's look at our graphs. In the left graph, the function is growing, so it matches with the function on the right. Meanwhile, in the right graph, the function is decaying, so it matches with the function on the left.

Hope this helps!

Answer:

72.5mph

Step-by-step explanation:

There is an easy way to work this. Divide the miles he drove by 2 so that you know how much he drove in 1/5 hours.

29/2= 14.5miles driven in 1/5 hours

Now, just multiply that number by 5 so that you know how many miles he drove in 5/5 hours (one full hour).

14.5*5= 72.5miles

Answers:

[tex]x = 5\sqrt{3}[/tex]

[tex]y = 10[/tex]

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

Explanation:

This is a 30-60-90 triangle. The short leg 5 is opposite the smallest angle 30 degrees.

The long leg is sqrt(3) times that of the short leg, which explains why x = 5*sqrt(3).

The hypotenuse is twice as long compared the short leg, so y = 2*5 = 10.

You could use trig ratios and the unit circle as another way to find x and y.

Answer:

20023002

Step-by-step explanation:

becease i nee d answers please ignore