Calculate the ratios in the table using the side lengths that you recorded in Part C.

Step-by-step explanation:

1) -4

2) -8, -6, -4, -3, 0, 3, 5

3) (a) -8 + 5 - 3 - 2

-13 + 5

-8

(b) -7 - 9 + 4 + 3

-7 - 9 + 7

-9

Slope Formula (Between 2 points)

[tex] \displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

Let these be the following:

[tex] \displaystyle \large{(x_1,y_1 )= (8, - 5)} \\ \displaystyle \large{(x_2,y_2 )= (8 ,- 2)} [/tex]

Substitute these points in.

[tex] \displaystyle \large{m = \frac{ - 2 - ( - 5)}{8 - 8} } \\ \displaystyle \large{m = \frac{ - 2 + 5}{0} }[/tex]

Since the denominator is 0. The slope is undefined. However, we can still find the equation of a line but not in y-isolated form.

Since for all y-values give same x-values. This means that the line will always pass at (8,y) where y is set of real numbers.

The line has to be vertical since a x-value can export many y-values.

Hence, the equation of a line would be x = 8

Answer:

√17

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a ratio of two integers. Or in other words, an irrational number can't be expressed as a fraction. You really cant divide one integer by another integer to get √17, so that makes it an irrational number.

Answer:

1) y=-11x-50    2)y=-8x+16

Step-by-step explanation:

1.  y=mx+b- it is the main equation for a line'

If we take the first point and use its coordinates we have -6=-4m+b

If we take the second point and use its coordinates we have 5=5m+b

These equations are simultaneous for our line because the line passes through both points

-6=-4m+b

5=-5m+b

If subtract the second one from the first equation

-6-5= -4m+b- (-5m+b)

-11= m

b= -6-44=-50

y=-11x-50

2) y=mx+b

-8=-8*3+b

b=16

y=-8x+16

For the considered survey, the questions whose response is going to be qualitative is given by: Option C: "What type of business do you own?"

Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.

In contrast, there is quantitative data which can be expressed numerically.

Option A, Option B and Option D will get answers which would be in numbers. Thus, their responses would be quantitative.

Option C's question will get response as type of business that the business owners own. So its not in numbers and tells about the characteristic of businesses.

Thus, for the considered survey, the questions whose response is going to be qualitative is given by: Option C: "What type of business do you own?"

Learn more about qualitative and quantitative data here:

https://brainly.com/question/12929865

Answer:

Math is the the abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering. You can D1E from math if its just too hard...

Answer:

it is rational

Step-by-step explanation:

Answer:

it's rational number

I hope it's helps you

Answer:

36

Step-by-step explanation:

The length is 12, and the height is 6

A = 1/2 * b*h

So area = 1/2 * 72 = 36

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

500

Brainliest, please!

Step-by-step explanation:

We are adding 1000 each time.

500000/1000 = 500

Answer:

Step-by-step explanation:

[tex]Number\ of\ terms\ =\dfrac{500000-1000}{2000-1000} +1\\\\=\dfrac{499000}{1000} +1\\\\=499+1\\\\=500\\[/tex]

Answer:

a) a1=15 first term

b) d=-8 common difference

Step-by-step explanation:

1)a1+d=7

2)a1+a2+a3+a4=12

a1+a1+d+a1+2d+a1+3d=12

4a1+6d=12

2a1+3d=6

We have the system of equations where a1+d=7 and 2a1+3d=6

3a1+3d=21

2a1+3d=6

Subtract the second equation from the first one

a1=15

d=-8

First term = 15

Common difference = -8

Let the first term be a and common difference be d.

Therefore,

a+d = 7       -     eq. 1

a+(a+d)+(a+2d)+(a+3d) = 12      -    eq. 2

4a + 6d = 12

4a + 4d + 2d = 12

Dividing both sides by 2,

2a + 2d + d = 6

2 (a+d) + d = 6

Substituting value of (a+d) in the above equation,

2*7 + d = 6

d = 6 - 14

d = -8

Substuting value of d in eq. 1

a+d = 7

a + (-8) = 7

a = 7 + 8

a = 15

To learn more about arithematic proggresions:

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Answer:

Directly, it would be 96/100. However,  we can reduce it to become 48/50 = 24/25.

(underlined is simplest answer)

24/25

Step-by-step explanation:

96%

=96/100

=24/25

answer

Answer:

The first choice.

Step-by-step explanation:

Domain = x value (first value in a coordinate pair: (x,y))

Range = y value

A function cannot have a repeating Domain value.

This eliminates the last option since -4 is used twice.

The second option has 11 as a y value but it is not in the range.

The third option has 10 as an x value but it is not in the domain.

Answer:

False

Step-by-step explanation:

Those straight lines that look like this -> |

Represent absolute value.

All absolute value means is the distance a number is from zero.

For example: -2 is 2 numbers away from zero.

5 is 5 numbers away from zero.

-7 is 7 numbers away from zero.

So when something says |-7| that is the same value as 7

So 7 = 7

NOT 7>7 (that doesn't make sense)

Answer:

Step-by-step explanation:

The total number of ways to draw 3 students is 7*6*5 = 210

Order does not matter. There are 3 students that don't play soccer.

P(3 don't play soccer) = 3*2 * 1 / 210 = 1/35 = 0.02857

Answer:

-10 I guess its this maybe

Answer:

4

Step-by-step explanation:

3n-(2+n) = 6

3n-2-n = 6

2n-2 = 6

2n = 8

n = 4

Answer:

n=4

Step-by-step explanation:

Start by writing the equation without parenthesis. Since there is a negative sign, everything in the parenthesis changes sign: 3n-2-n=6

Combine like terms: 2n-2=6

move -2 to the other side: 2n=8

divide both sides by 2: n=4

Answer:

that's is my answer for the question

Answer:

Equation is y=2x+12

The image is a picture of the graph(it's not the best but it's something.

Answer:

-40

Step-by-step explanation:

[tex] \sqrt{5} \times - 4 \sqrt{20} [/tex]

Multiplication is commutative.

[tex] - 4 \sqrt{20} \times \sqrt{5} [/tex]

Apply Profuct Rule

[tex] - 4 \sqrt{100} [/tex]

Simplify sqr root of 100

[tex] - 4 \times 10 = - 40[/tex]

Hi ;-)

√5 · (-4√20) = -4√(5 · 20) =

= -4√100 = -4 · 10 = -40

Answer:

- 2/3, 6

Step-by-step explanation:

Answer:

4y-9

Step-by-step explanation:

y is the number, 4 times the number = 4y

so 4y-9

Answer:

19.55 $

Step-by-step explanation:

3.45$×10=34.5=150% of his money overall

34.5÷3=11.5

11.5×2=23= 100% of his money

23-15%=19.55$

$23

Step-by-step explanation:

15% of x = 3.45

= 15/100 = 3.45/x

x= 23

Answer:

B. (2, 3, 4)

Step-by-step explanation:

The range of a function is the list of y values. In this instance, the y values present in this function are 2, 3, and 4. Therefore, the answer is B. (2, 3, 4).

Answer:

1st expression= rational 2nd expression= rational 3rd expression = irrational

Step-by-step explanation:

The first and second expressions are rational because they both equal whole numbers (4 and 3) while the last expression equals a decimal that goes on forever with no end, thus making it irrational.

Answer:

v=-14.4

Step-by-step explanation:

Isolate v.

add - 3.1 to the other side

-7.9+3.1=-4.8

Now the problem is:  -4.8 = v/3

Next, multiply both sides by 3

-4.8 times 3 = -14.4

v = -14.4

Answer:

-14.4

Step-by-step explanation:

-7.9 = -3.1 + (v/3)

- 4.8 = v/3

v = -14.4

Answer:

125 inches

Step-by-step explanation:

In one minute caterpillar crawls 25 inches. So in 5 minutes we have 5 times 25 inches is 125 inches.

By equation

Additional: 25 + 25 + 25 + 25 + 25 = 125 (inches)

Mutiplication: 25 * 5 = 125 (inches)

The caterpillar crawls 125 inches in 5 minutes

because it is said that the caterpillar crawls 25 inches in one minute so we can use multiplication 25 x 5 = 125

Answer:

[tex] = \frac{11}{3} = 3 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex] \frac{ - 1\frac{5}{6} }{ - \frac{1}{12} } = \frac{ - \frac{11}{6} }{ - \frac{1}{2} } [/tex]

[tex] \frac{ - \frac{11}{6} }{ - \frac{1}{2} } = \frac{ \frac{11}{6} }{ \frac{1}{2} } [/tex]

[tex] = \frac{11}{3} = 3 \frac{2}{3}[/tex] ✅

The amount borrowed from the first and second bank is 19000 and 2000 respectively.

Recall :

Simple interest = P×R×T

Total principal, P = 21000

Bank 1 :

Let, Principal, P = x

Rate, R = 5%

Time, T = 3

Bank 2 :

Principal, P = (21000 - x)

Rate, R = 6.5%

Time, T = 3

Total interest paid = 3240

Bank A interest + Bank B interest = total interest paid

[x × 5% × 3] + [(21000-x) × 6.5% × 3)] = 3240

0.15x + 4095 - 0.195x = 3240

-0.045x = 3240 - 4095

-0.045x = - 855

x = 19000

Hence,

19000 was borrowed from Bank 1

(21000 - 19000) = 2000 was borrowed from bank 2

Learn more : https://brainly.com/question/20831630

Answer:

[tex]-3(t+1)(8t-3)[/tex]

Step-by-step explanation:

First, factor both the denominators completely:

[tex]9-24t\\= 3(3-8t)\\= 3(-8t+3)\\= -3(8t-3)[/tex]

[tex]8t^2+5t-3\\= 8t^2+8t-3t-3\\= 8t(t+1)-3(t+1)\\= (8t-3)(t+1)[/tex]

Now, we can see that the factors of the first denominator are -3 and 8t-3.

The factors of the second denominator are t+1 and 8t-3.

To find the LCD, multiply all of these factors together:

[tex]-3(t+1)(8t-3)[/tex]

Notice how we only multiply 8t-3 in the equation once. This is because it was present in both denominators, unlike the other factors.

I hope this helps!