On which of the following lines does the point (–3, –1) lie? y = −4x − 6 y = 3x + 9 y = −3x − 10 y = 5x − 1

Answer:

3m^2+3

Step-by-step explanation:

Step 1:  First you have your equation or something.

3m (m+1)

Step 2: You multiply the parenthesis with the number.

Step 3: Then 3m to the parenthesis if you have 3m and m will convert to m^2.

Step 4: Your answer would be 3m^2+3

Answer:

So you solve it .... 3m^2+ 3m

Step-by-step explanation:

Answer:

16 = [tex]8^{\frac{4}{3} }[/tex]

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]log_{8}[/tex] 16 = [tex]\frac{4}{3}[/tex], then

16 = [tex]8^{\frac{4}{3} }[/tex] ← in exponential form

Answer:

Step-by-step explanation:

let 7 + 3√2 be an rational number where

7+3√2 = a/b [ a and b are coprime and b is not equal to zero]

3√2= a/b-7

3√2 =( a-7b) /b

√2 = (a-7b) /3b .....(i)

Now ,from equation (i) ,we get that √2 is rational but we know that √2 is irrational. so actually 7 + 3√2 is irrational not rational. thus our assumption is wrong. The number is irrational.

Answer:

Prove by contradiction.

See below.

Step-by-step explanation:

Assume it is rational, then:

Let x = 7 + 3√2 = p/q      where p and q are integers and p/q is in simplest form.

x^2 = 49 + 42√2  + 18 = p^2/q^2

67q^2 = p^2  - 42√2q^2

67q^2 - p^2 = -42√2 q^2

67q^2 - p^2 is rational and q^2 is rational so that makes -42√2  rational.

but we know that -42√2  is irrational, so our original assumption is not true.

Answer:

  It is a solution, one of an infinite number of solutions.

Step-by-step explanation:

You can check to see if the given point is in the solution set:

  4(-4) +5(4) = -16 +20 = 4 > -6 . . . . yes

  -2(-4) +7(4) = 8 +28 = 36 > 20 . . . yes

The offered point satisfies both inequalities, so is in the solution set. It is not the solution, but is one of an infinite number of solutions.

Answer:

C

Step-by-step explanation:

We need to use the distance formula, which says that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is:

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here, the two points are (-2.5, 4.5) and (4.75, 4.5), so:

d = [tex]\sqrt{(4.75-(-2.5))^2+(4.5-4.5)^2}=\sqrt{(7.25)^2+(0)^2}=7.25[/tex] = 7 1/4

The answer is C.

Answer:

7¼ units

Step-by-step explanation:

Since the y-coordinate is the same, the two points lie on the same horizontal line

No vertical distance

Only horizontal distance of:

4¾ - (-2½)

4.75 + 2.5

7.25 units

Or

7¼ units

Answer:

B) 2n/3

Step-by-step explanation:

twice a number n = 2 * n = 2n

divided by 3 = 2n/3

Answer:

d

Step-by-step explanation:

Answer:

F(n) = (5n + 3) - (2n - 5)

F(4) = (5*4 + 3) - (2*4 - 5)

      = 20 + 3 - 8 + 5

      = 20

Hope this helps!

:)

Answer:

20

Step-by-step explanation:

 (5n+3)-(2n-5) =

= (5×4+3) - (2×4-5)

= (20+3) - (8-5)

= 23 - 3

= 20

Answer:

C

Step-by-step explanation:

The total value of Matt's large assets, which include his investments, car, and house, adds up to $53,000.

The student is asking about calculating the total value of large assets that Matt owns. To find this, we add up the value of the investment, car, and house as these are considered large assets. The checking account is generally not included in large assets, as it is considered liquid cash rather than an asset of substantial value like property or investments.

We calculate the sum of these amounts to get the total value of Matt's large assets:

$15,000 + $8,000 + $30,000 = $53,000

Therefore, the total value of Matt's large assets is $53,000.

Step-by-step explanation:

It is given that, Steve is making a circular shield with a radius of 11 inches for a school play. We need to find the length of cardboard he need to make the outer border of the shield. It means that we need to find the circumference of the circular shield of radius 11 inches.

So,

[tex]C=2\pi r\\\\C=2\times 3.14\times 11\\\\C=69.08\ \text{inches}[/tex]

So, he will need 69.08 inches of cardboard to make the outer border of the shield.

Answer:

The answer is 16 I've seen this before so I would know. and your welcome

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

i dont know the first one but the second one is 97

Step-by-step explanation:

the lowest digit gets dropped

Answer:

1) 6394

2) 97, 9

Step-by-step explanation:

1)

WXYZ

X < Z

Z = ⅔W

W = ⅔Y

Y = 3X

W = ⅔(3X) = 2X

Z = ⅔(2X) = (4/3)X

X has to be a multiple of 3

If X = 3,

Y = 9

Z = 4

W = 6

WXYZ

6394

2)

917452; 97452; 9745; 975; _ ; _ ?

Just remove the smallest digit to get the next terms

97, 9

Answer:

In Grade 8, 22% of students liked volleyball.

Step-by-step explanation:

I toke the exam

Answer:

1. There are a fixed number of trials

2. There are two outcomes: success (getting a 4) and failure (not getting a 4)

3. You know the probability of success and it is the same for each trial

4. You are looking for the probability of getting a 4 exactly 3 out of 10 times. When you're looking for the probability of getting exactly x number of successes in n trials, that is a binomial probability distribution.  

Step-by-step explanation:

Answer:

54.16%

Step-by-step explanation:

The percentage of books that are some is 54.16 %

In order to find that answer you would have to calculate the total number of small books (26) over the total number of all of the books (48).

The equation would be 26/48=0.5416 however Multiply that answer by 100 and you would get 54.16% and if you want to round to the nearest whole number it would just be 54%

Answer:

8cm

Step-by-step explanation:

1/2 × 18b = 72

9b = 72

b = 72/9

b = 8

Answer:

Answer:

8 cm

Step-by-step explanation:

1/2 × 18 b = 72

9 b = 72

b = 72/9

b = 8

Answer:

y=7x+65

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-9,2) and has a slope of 7.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 7. So you can right away fill in the equation for a line somewhat to read:

y=7x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-9,2). When x of the line is -9, y of the line must be 2.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-9,2).

So, why not plug in for x the number -9 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-9,2). y=mx+b or 2=7 × -9+b, or solving for b: b=2-(7)(-9). b=65.

The equation of the line that passes through the point (-9,2) with a slope of 7

is

y=7x+65

Have a nice day!

Answer:

Period is time between the two peaks.

Period = 4.114 - 1.870

Period = 2.244 seconds

Step-by-step explanation:

Answer:

p=2.244 and b = 2.8

Step-by-step explanation:

edge 2023

Answer:

Which plant was taller when Nara got the plants? C. They were equally tall

Which plant grew faster?  B. The second plant

Step-by-step explanation:

Slope of the first plant :

m = (y2 - y1)/(x2- x1)

m = (36 - 34)/(15 - 10) = 0.4

y-intercept of the first plant :

y = m*x + b

b = y1 - m*x1

b = 34 - 0.4*10 = 30

From the picture we can see that the y-intercept of the second plant is 30 cm

Y-intercept represents plant heights when Nara got the plants; then they were equally tall

From the picture we can see that second plant grew 2 cm in 2 days; then its slope is 2/2 = 1

Slope measures how fast each plant grew; then the second plant grew faster

Answer:

55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

Step-by-step explanation:

Suppose half on numbers are odd, then for each roll the probability is 1/2

So for two rolls the probability is:

Answer: x =  8

Step-by-step explanation: So you have 3 sides and 3 numbers. Identify the side that has a number without a variable. (This goes for both triangles) Then you divide the 1st number by the 2nd. In this case it would be 20 or side "B" divided by 5 or side "E", which equals 4. You then take 4 and multiply it by 4 or side "D" (Because it's the only other side that does not have a variable) and you take your answer (16) and 2x or side "A", and make an equation. The equation would be : 2 * x = 16. Now solve the equation. Your answer is : x = 8.  

Answer:

The answer is 9.75

Step-by-step explanation:

6.25

4.50

Equals 9.75

You have to add a 0 after the 5 in 4.5 because the 5 is in the tenths place.

Sorry if it isn’t right, that’s how I was taught.

Answer:

72
108

Why?
It came back as correct

Answer:

No, they are not mutually exclusive because a customer can purchase a burger and fries together.

Step-by-step explanation:

Mutually exclusive events are events that cannot occur at the same time, e.g. I cannot sleep while running. In the case of a restaurant, you could consider purchasing pizza and burgers as mutually exclusive since most people would only purchase one of them (unless they eat a lot). But burgers and fries are not mutually exclusive because people can purchase them together.

Answer:

8(7+4) (C.)

Step-by-step explanation:

What is the biggest number that goes into 56 and 32?

8!

So then you have to divide both numbers by 8 like so:

[tex]56/8 + 32/8[/tex]

and  put the 8 on the outside...

8(7+4)

Answer:

Probability that exactly two people out of a randomly  chosen group of five people have responded to a telephone call-in poll is 0.264.

Step-by-step explanation:

We are given that according to a recent New York Times poll, 25% of the public have responded to a telephone call-in  poll.

Also, five people have people have been randomly selected.

The above situation can be represented through binomial distribution;

[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]

where, n = number trials (samples) taken = 5 people

           r = number of success = exactly two

           p = probability of success which in our question is probability that

                 public have responded to a telephone call-in  poll, i.e; p = 25%

Let X = Number of people who have responded to a telephone call-in  poll

So, X ~ Binom(n = 5, p = 0.25)

Now, probability that exactly two people out of group of five people have responded to a telephone call-in poll is given by = P(X = 2)

                P(X = 2)  =  [tex]\binom{5}{2} \times 0.25^{2} \times (1-0.25)^{5-2}[/tex]

                               =  [tex]10 \times 0.25^{2} \times 0.75^{3}[/tex]

                               =  0.264

Therefore, the probability that exactly two people out of a randomly  chosen group of five people have responded to a telephone call-in poll is 0.264.

The probability of exactly two people responding is 0.262 in this case.

To calculate the probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll, we need to use the binomial distribution formula. The formula is: P(X=k) = C(n, k) * p^k * (1-p)^(n-k), where P(X=k) is the probability that k people responded, C(n, k) is the number of ways to choose k people out of n, p is the probability of success (25% in this case), and n is the number of trials (5 in this case).

Plugging in the values: P(X=2) = C(5, 2) * (0.25)^2 * (0.75)^(5-2)

Simplifying and calculating, we get: P(X=2) = 10 * 0.0625 * 0.421875 = 0.26172

Rounding to the nearest thousandth, the probability that exactly two people out of a randomly chosen group of five people have responded to a telephone call-in poll is approximately 0.262.

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