Find the slope of the line through each pair of points.
1. (4,-16), (7,18)
2. (2,1), (-9, -3)
3. (-11,2), (15,5)
4. (5,6), (10, -12)

Answer:

[tex]★\:\: \frac{3 {x}^{3} - 18 {x}^{2} + 27x}{2 {x}^{2} + 2x - 12}\:when\:x≠2,\:3 \\ = \frac{3x( {x}^{2} - 6x + 9) }{2( {x}^{2} + x - 6) } \\ = \frac{3x( {(x)}^{2} - 2 \times (3) \times (x) + {(3)}^{2} ) }{2( {x}^{2} + 3x - 2x - 6) } \\ = \frac{3x {(x - 3)}(x - 3) }{2(x(x + 3) - 2(x + 3))} \\ = \boxed{‡ \frac{3x {(x - 3)}^{2} }{2(x + 3)(x - 2)}‡}✓[/tex]

Answer:

I believe it's 14

Step-by-step explanation:

To find the range you subtract to highest and lowest values, (15 and 1)

15 - 1 = 14

I took the test and its 13.

9514 1404 393

Answer:

  64°

Step-by-step explanation:

y° and the angle marked 64° are "alternate interior angles", so are congruent.

  y° = 64°

Answer:0.36

Step-by-step explanation:

Given

Probability of a free throw =0.6

It is given that the two throws are independent of each other

So, the Probability of making two consecutive throws

[tex]P=\text{Probability of first throw}\times \text{Probability of second throw}\\P=0.6\times 0.6=0.36[/tex]

Answer:

[tex]\frac{3}{5} +\frac{1}{5} =\frac{4}{5}[/tex]

Step-by-step explanation:

The denominator doesn't really matter here. You just have to add the numerators and then put the denominator back on again. The numerators are 3 and 1 and if you add 3 and 1 you will get 4. Now you have to put the denominator back on to the bottom of the numerator. So, if you but 5 on the bottom of 4 it will be [tex]\frac{4}{5}[/tex].

Answer:

it would be B

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3 x 3 = 9 :)

Answer:

3

Step-by-step explanation:

Answer:

Increased by, added, brought up (All I know of haha)

Step-by-step explanation:

Theres really no explanation to this other than learning your mathematical terms.

Answer:

The fourth option i.e. 'no solution' is correct.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]

Adding both equations

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

[tex]+[/tex]

[tex]\underline{\frac{2}{3}x+y=6}[/tex]

[tex]0=8[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]

0 = 8 is FALSE!

Therefore, the system of equations has no solution.

Thus,

No Solution!

Hence, the fourth option i.e. 'no solution' is correct.

9514 1404 393

Answer:

  y = 1400 -140x

Step-by-step explanation:

In the first two months, Zachary paid ...

  1400 -1120 = 280

so 280/2 = 140 per month. This is the amount that the balance decreases each month from the starting balance of $1400.

Zachary's balance (y) can be modeled as ...

  y = 1400 -140x

Answer:

constant of proportionality

Step-by-step explanation:

Assuming that we have two proportional quantities; one is x and one is y.

If we know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.

Answer:

0.5 pounds!

Step-by-step explanation:

Answer:

6,8,and 10

Step-by-step explanation:

Answer:

6,8,and 10

Step-by-step explanation:

when you plug in each number from the set into the inequality you will see which values from the set will make the inequality true.

1. 2+5>10 = 7>10 FALSE

2. 4+5>10 = 9>10 FALSE

3. 6+5>10 =11>10 TRUE

4. 8+5>10 = 13>10 TRUE

5. 10+5>10 = 15>10 TRUE

upto four roots or zero......

Answer:

0.1 is 5% of 2.

Step-by-step explanation:

Steps:

0.1 ÷ 5% = 2%

Answer:

2

Step-by-step explanation:

5% of 2 is 0.1

50% is 1

5% is 0.1

Step-by-step explanation:

5.) f(1) = 7, f(n) = -4※f(n-1) + 15

[tex]f(2) = - 4 \times 7 + 15 = - 13 \\ f(3) = - 4 \times ( - 13) + 15 = 67 \\ f(4) = - 4 \times 67 + 15 = - 253[/tex]

The first four terms are 7, -13, 67, -253.

7.) f(1) = 3, f(n) = [f(n-1)]²

[tex]f(2) = (3)^{2} = 9 \\ f(3) = ( {9)}^{2} = 81 \\ f(4) = ( {81)}^{2} = 6561[/tex]

The first four terms are 3, 9, 81, 6561.

Answer:

X + X +18 + X-6 = 180

3x + 12 = 180

3x = 168

x= 56

x + 18 = 74

x - 6 =50

Step-by-step explanation:

Answer:

56°, 74°, 50°

Step-by-step explanation:

x + x + 18 + x - 6 = 180

3x + 12 = 180

3x = 168

x = 56

56 + 18 = 74

56 - 6 = 50

Answer:

Number of baskets Lanni make = 3 basket

Step-by-step explanation:

Given:

Total attempt = 18 times

Ratio(Basket make : Basket missed) = 1:5

Find:

Number of baskets Lanni make

Computation:

Number of baskets Lanni make = Total attempt x [Basket make ratio]

Number of baskets Lanni make = 18 x [1/(1+5)]

Number of baskets Lanni make = 3 basket

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Dont worry about what I type hear the answer is C

There are 17 goats and 6 chickens

Explaining: (1)  C + G = 23

As for legs:

(2)  2C + 4G = 80 (each C has 2 legs and each G has 4 legs)

Solving equation (1):  C = 23 - G

Substituting in equation (2)

2(23 - G) + 4G = 80

2G = 34

G = 17

C = 6

Answer:the lost the war

Step-by-step explanation:

Answer:

The answer is 22

Step-by-step explanation:

might be wrong so I would wait for someone else to also answer.

Answer:

The domain of a composite function f(g(x)) f ( g ( x ) ) is the set of those inputs x in the domain of g for which g(x) is in the domain of f .

Answer:

B. 6.5

Step-by-step explanation:

You can use the 5 against the unknown number and  add a few more moves which makes it 6.5.. It's easier in my head man.

Answer:

~1467

Step-by-step explanation:

$200,000 x 8.5% or .085 = $17,000 Annualy

$17,000 / 12 Months out of the year = $1466 2/3 Monthly Payments

Answer is $1467 Rounded

The monthly interest payment is $1,467.

Given that,

Based on the above information, the calculation is as follows:

[tex]= (\$200,000 \times 8.5\%) \div 12[/tex]

= $1,467

Therefore we can conclude that the monthly interest payment is $1,467.

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