Solve for x: −1 < x + 3 < 5

2 < x < 8
−4 < x < 2
2 > x > 8
−4 > x > 2

Answer:

1

Step-by-step explanation:

The slope of the line can be found by

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

    = (-3 -  -12)/(15-6)

   = (-3+12)/(15-6)

    = 9/9

   = 1

Answer:

Let us say the domain in the first case, has the numbers. And the co-domain has the students, .

Now for a relation to be a function, the input should have exactly one output, which is true in this case because each number is associated (picked up by) with only one student.

The second condition is that no element in the domain should be left without an output. This is taken care by the equal number of students and the cards. 25 cards and 25 students. And they pick exactly one card. So all the cards get picked.

Note that this function is one-one and onto in the sense that each input has different outputs and no element in the co domain is left without an image in the domain. Since this is an one-one onto function inverse should exist. If the inverse exists, then the domain and co domain can be interchanged. i.e., Students become the domain and the cards co-domain, exactly like Mario claimed. So, both are correct!

Answer:

456 hours

Step-by-step explanation:

19x24

Answer:

u = 16

Step-by-step explanation:

5u - 10 = 70

Add 10 to each side

5u -10 +10 = 70+10

5u = 80

Divide each side by 5

5u/5 = 80/5

u = 16

Answer:

-37/6

Step-by-step explanation:

Answer:

A -37/6

Step-by-step explanation:

Answer: (6, -1)

Step-by-step explanation:

Given that point (3,1) satisfies the function f(×).  From the equation

g(x)=-2f(x/2)+1

x/2 = 3

x = 6

Substitute the 1 for f(x/2)

g(x) = -2(1)+1

g(x) = -2 + 1 = -1

The point that would satisfy g(x)=-2f(x/2)+1 is (6, -1)

Answer:

sinx = p/h , cosx = b/h , tanx = p/b

you can use these relations

Step-by-step explanation:

p = perpendicular = side opposite to the angle

h  = hypotenuse = side opposite to the right angle

b= base

if no angles are given, p and b can be interchanged

Answer:

Step-by-step explanation:

area of square=5×5=25 u²

Answer:

Step-by-step explanation:

1%

Answer:

1% I think. I used a calculator but sometime my calculator doesn’t work.

Answer:

what i dont get what ur trying to say

Step-by-step explanation:                                                                    

Answer:

40,516 hours

Step-by-step explanation:

.

Answer:

1,080

Multiply all of the numbers together

Answer: B

Total surface area = 320 m^2

Step-by-step explanation:

The figure is a combination of a cuboid and pyramid.

The Surface Area of a Pyramid When all side faces are the same:

[Base Area] + 1/2 × Perimeter × [Slant Length]

Let us use pythagorean theorem to calculate the slant length

Slant length = root(6^2 + 4^2)

Slant length = 7.2 m

Base area = 8 × 8 = 64 m^2

Perimeter = 8+8+8+8 = 32 m

Surface area of the pyramid will be

= 64 + ( 1/2 × 32 ) × 7.2

= 64 + 16 × 7.2

= 64 + 115.4

= 179.4 m^2

The surface area of the cuboid will be

LB + LH + BH = 8×8 + 8×5 + 8×5

= 64 + 40 + 40

= 144 m^2

Total surface area = 179.4 + 144

Total surface area = 323.4 m^2

= 320 m^2 to the nearest whole number.

Answer:

His work is correct, easiest question in the world!LOL

Step-by-step explanation:

1+1= 2

Answer:

A) .1

B) .5

C) .7

D) .7

E) 1.2

F) 1.9

G) 3.2

H) 3.6

I) 4.4

Step-by-step explanation:

There are 10 dashes between each number so when you reach a whole number and have to go beyond that point, just count the dashes which will give you your whole number, if you have one, and your decimal.

Answer:

IV

Step-by-step explanation:

Since the cost is the same for weights in one interval, it will form a step function

Answer:

I believe that there is  3087 multiples of 5

Step-by-step explanation:

Answer:

5400

Step-by-step explanation:

Answer:

(x+2)^2 = 4

Step-by-step explanation:

x² + 4x = 0​

Take the coefficient of the x term

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2+4x+4 = 0+4

(x+4/2)^2 = 4

(x+2)^2 = 4

Answer:

No.

Step-by-step explanation:

For area you will multiply 12x12=144.

For the perimeter you will add 12+12=24

I hope this helps!

Answer:

3/2 and 3/4 are terminating decimals

Step-by-step explanation:

Terminating decimals are those whose decimals end.

3/2 = 1 .5

2/3 = .6666repeating

3/4 = .75

5/7 =.714285repeating

Answer:

3/2 and 3/4

Step-by-step explanation:

3/2=1.5

2/3= .6666...

3/4=.75

5/7=.7142...

So the only ones that terminate are 3/2 and 3/4

Answer:

1/8

Step-by-step explanation:

i got it right

Answer:

Its f,e,c

Step-by-step explanation:

Its correct because when u solve one side is 8x and the other is 16y

Answer:

105.2 ft²

Step-by-step explanation:

The diameter of the base of the cone is 6 ft which means its radius is:

r = d / 2 = 6 / 2 = 3 ft

Its height, h, is 7.6 ft.

The surface area of a cone is given as:

A = pi * r(r + √(h² + r²))

Therefore:

A = pi * 3(3 + √(7.6² + 3²))

A = pi * 3(3 + √(57.76 + 9))

A = pi * 3(3 + √(66.76))

A = 9.42(3 + 8.17)

A = 9.42 * 11.17 = 105.2214 ft²

Approximating to the nearest 10th, the surface area of the cone is 105.2 ft².

Answer:3.14

Step-by-step explanation: It has inf numbers it never ends

Answer:

B

Step-by-step explanation:

Answer:

$1.75 per can of peanuts

Step-by-step explanation:

$8.75/5=$1.75

The absolute value function can be expressed as a piecewise function. The correct absolute value function that represents the given graph is f(x) = |x + 2| - 1. The vertex of the graph is (-2, -1) and the line of symmetry is x = 2.

a) Rewrite the function as a piecewise function: The absolute value function can be expressed as a piecewise function by considering the different intervals where the expression inside the absolute value changes its sign. In this case, the function may be written as:
[tex]f(x) = \begin{cases} -(x + 2) - 1, & \text{if } x \leq -2 \\ (x + 2) - 1, & \text{if } x > -2 \end{cases}[/tex]

b) Which of the following absolute value functions represents the graph: To determine which of the given options matches the graph, we compare the expressions inside the absolute values with the piecewise function from part (a). In this case, the correct match is f(x) = |x + 2| - 1.

c) Describe the relationship between the absolute value function and the vertex of the graph: The vertex of the absolute value function f(x) = |x + h| + k is (-h, k). In this case, the vertex is (-2, -1). This means that the graph has been shifted two units to the left and one unit down.

d) What is the line of symmetry of the graph: The line of symmetry for an absolute value function of the form f(x) = |x + h| + k is the vertical line x = -h. In this case, the line of symmetry is x = -(-2) = 2. The graph is symmetric with respect to the line x = 2.

Answer:

x= 15

Step-by-step explanation:

85 and 6x+5 form a straight line.

They sum to 180

85+ 6x+5 = 180

Combine like terms

90 +6x = 180

Subtract 90 from each side

90+6x-90 = 180-90

6x = 90

Divide each side by 6

6x/6 = 90/6

x =15

Answer: x = 15

Step-by-step explanation: since it's a straight line so it's 180 degrees

so 6x + 5 = 95

6x = 90

x = 15