Sampson solves the inequality as shown below.
Sampson's father checks Sampson's work and notices a mistake in the answer. What is Sampson's mistake?

Answer:

Step-by-step explanation:

[tex]\frac{16}{x^{12}}[/tex].

We get this by distributing the 4 into each term. 2^4 is 16 and (x^-3)^4 is x^-12 which is equal to 1/x^12

Answer:

16/x^12

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

-4(7 + v) = 28

expand

-4*7 + -4*v =28

group like terms

-28 -4v= 28

-4v=28+28

-4v=56

v=-56/4

v= -14

Answer:

D. 126

Step-by-step explanation:

30 ÷ 5 = 6

5 * 6 = 30

6 * 6 = 36

10 * 6 = 60

60 + 30 + 36 = 126

Answer:

41 feet

Step-by-step explanation:

For a radius r, the circumference is [tex]2\pi r[/tex] and the diameter is [tex]2r[/tex], so to get diameter, we can just divide the circumference by pi and we get the answer. Using 3.14 for pi we get:

[tex]127.74 / 3.14 = 41[/tex]

Answer:

The median is 22

Answer: 22

Step-by-step explanation:

The line in the middle of the rectangle in the box plot represents the median. That line is at 22 on the number line below it.

Answer: Well the image looks like a square so what does not appear to describe this quadrilateral is B; trapezoid. I just don’t know how to explain this but I think it is B. Sorry if I’m wrong but hope this helps.

count tally marks and it adds up to 22

Answer:

B. 22

Step-by-step explanation:

You just add the total amount of people that have dogs which is 12 with the total amount of people that have cats which is 10 so the total amount that have dogs and cats as pets is 22 because 10 + 12=22

Answer:

a and c

Step-by-step explanation:

so we know that -2 is the greatest number in this inequality and with that, the 'equation' would look like this-

x<-2

now let us solve a-d-

0.25-2.50=-2.50

-4.25-(-2.75)=-1.5

-3.25-1.75=-5

-4.50-(-5.25)=0.75

**with negative numbers the 'smaller' the number is the greater it actually is ex. -2.50<-1** it works this way because the 'larger' the number gets the further away it becomes from 0 or whole numbers making it smaller than the negative numbers closer to zero such as -1**

hopefully, that makes sense

now let us see which equations fit our inequality- **we'll let the bolded ones mean that they fit the inequality**

a)-2.50<-2

b)-1.5<-2

c)-5<-2

d)0.75<-2

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

k is constant of proportionality

Monday: k = 7.5

Tuesday: k = 2

Step-by-step explanation:

The equation for proportionality is y = kx

Take the first line of the table, plug it in and solve for k. Do that with at least 1 other row to be sure k is the same.

15 = (k)(2)

k = 7.5

——————

Same thing for this day. x is the horizontal, y is the vertical.

16 = (k)(8)

Answer:

b or c sorry i couldn't help more

Step-by-step explanation:

Answer:

5(2c - 3) = 3(3c - 5)

=> 10c - 15 = 9c - 15c

=> 10c+15c = 9c + 15c

=> 25c = 24

=> c = 24/25

Answer:

c=0

Step-by-step explanation:

Remove the parentheses

10c - 15 = 9c - 15

10c = 9c

Move the variable to the left

10c-9c=0

Collect like terms

then solve it and you'll get c=0

Hope this helps.

Answer:

x = 1.5

Step-by-step explanation:

2x = 3

divide both sides by 2

x = 3/2

3 divided by 2 is 1.5 so

x = 1.5

Answer:

1.5

Step-by-step explanation:

[tex]2x = 3 \\ \frac{2x}{2} = \frac{3}{2 } \\ two \: cancle \: by \: two \: then \\ x = \frac{3}{2 } \\ x = 1.5[/tex]

Answer:

[tex]\displaystyle f(x)=-\frac{1}{24}\left(x-12\right)^2+6[/tex]

Where f(x) models the height, in inches, of the frog's leap after it had leapt x inches.

Step-by-step explanation:

We are given that a frog leaps two feet, with the highest point in the jump being six inches.

Assuming the frog starts at (0,0), we want to find a quadratic function in vertex form for the path of the jump.

First, we will convert the length of the jump to inches. Two feet is equivalent to 24 inches.

Next, since the frog started at (0, 0), in order to jump a length of 24 inches, it must have ended at (0, 24). These two points will also be our two roots: x = 0 and x = 24. We can use the factored form of a quadratic:

[tex]f(x)=a(x-p)(x-q)[/tex]

Where p and q are the roots.

Substitute in the roots:

[tex]f(x)=a(x-0)(x-24)=ax(x-24)[/tex]

Now, since the frog reached a maximum height of six inches, the y-coordinate of the function at its vertex point is 6.

Since a parabola is symmetrical along its axis of symmetry, the axis of symmetry is always halfway between the two roots.

Therefore, the x-coordinate of our vertex is:

[tex]\displaystyle x=\frac{24-0}{2}=12[/tex]

So, when x = 12, f(x) = 6. Substitute:

[tex]6=a(12)(12-24)[/tex]

Solve for a:

[tex]\displaystyle- 144a=6\Rightarrow a=-\frac{1}{24}[/tex]

Therefore, our function is:

[tex]\displaystyle f(x)=-\frac{1}{24}x(x-24)[/tex]

Now, we can place this into vertex form:

[tex]\displaystyle f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient and (h, k) is the vertex.

Our leading coefficient is -1/24, and the vertex is (12, 6). Hence, our function is:

[tex]\displaystyle f(x)=-\frac{1}{24}\left(x-12\right)^2+6[/tex]

Where f(x) models the height, in inches, of the frog's leap after it had leapt x inches.

Answer:

U already know the answer, then why ask?? I'll explain it once again, tho :)

Step-by-step explanation:

40 = 8y

40 ÷ 8= y

5 = y

~~~

Answer:

equations by using inverse operations, including squares, square roots, cubes, ... A pair of inverse operations is defined as two operations that will be ... The following examples summarize how to undo these operations using their ... x is divided by 2, so we multiply by 2 on both sides. 2. 8 2. 2 x. ∙ = ∙. Solution: 16. explanation:

Step-by-step explanation:

Answer:

c. no solution

Step-by-step explanation:

i hope this helps :)

Answer:

c

Step-by-step explanation:

they are parallel so they won't intercept. therefore they won't have a solution

Answer: f(x) = 64 * (3/4)^x

Step-by-step explanation: f(x)=ab^x

When x=0 f(x) = 64

64 = ab^0

b^0 =1 so

64 =a

f(x)=64 b^x

When x=1 f(x) = 48

48 = 64 *b

Divide by 64

48/64 =b

6/8 =b

3/4 =b

f(x) = 64 * (3/4)^x

Answer:

mag sagot ka module mo yan

Answer:

The probability is not 4/12 for the red marble, but 4/11

Step-by-step explanation:

Francisco calculated to probability of drawing a yellow marble correctly, but since he isn't replacing it, the amount of marbles in the bag is not 12, but 11. Since there are 4 red marbles, the probability is 4/11

Answer:

16

Step-by-step explanation:

do u have the answer...............

Answer:

[tex]92\ yd^2[/tex]

Step-by-step explanation:

The given figure is a trapezoid, the formula for finding the area of a trapezoid is the following,

[tex]A=\frac{h(b_1+b_2)}{2}[/tex]

Where (h) is the height of the figure, and ([tex]b_1[/tex]) and ([tex]b_2[/tex]) are the bases. It is given that the height is (8) and ([tex]b_1[/tex]) is (8). The value of ([tex]b_2[/tex]) can be found by adding the value of ([tex]b_1[/tex]) to the "overhang" that ([tex]b_2[/tex]) has over ([tex]b_1[/tex]). Thus, ([tex]b_2[/tex]) is ([tex]8+7[/tex]) or rather ([tex]15[/tex]). Now substitute the values into the equation and solve for the area of the trapezoid,

[tex]A=\frac{8(8+15)}{2}[/tex]

[tex]=\frac{8(23)}{2}[/tex]

[tex]=4(23)[/tex]

[tex]=92[/tex]

Answer:

24º

Step-by-step explanation:

If X and Y are suplementary, X + Y is equal to 180º.

Answer:

A-B

Step-by-step explanation: