how do i solve this equation

Step-by-step explanation:

the domain is the interval or set of all valid x-values for the function.

and the range is the interval or set of all valid y-values (functional result values) for the function.

so, we can see here that the function would create results for all x in (- infinity, + infinity). that is the domain.

now, what result values (y-values) are possible ?

we see, that the smallest functional value is y = -2.

and from there all y-values up to +infinity are possible.

so, the range is [-2, +infinity).

please consider the chosen brackets. the "[" means the value is included in the function, a "(" means that that particular interval end value is excluded. anything bigger or smaller might be valid but not this one value.

and infinity is not a value. hence they are not included in such intervals.

Answer:

The sum of all the terms is -775.

Step-by-step explanation:

This appears to be an arithmetic sequence, with a common difference of 4.

The problem is, we don't know how many terms there are!

To find this, use the following formula:

last number = first number + (n - 1) * difference

In this case:

35 = -85 + (n - 1) * 4

35 = -85 + 4n - 4

4n = 124

n = 31

This means there are 31 terms in this sequence.

Now, for the sum. Use the following formula:

n(first number + last number), take this product and divide it by 2.

In this case:

31(-85 + 35) = -1550 / 2 = -775

Step-by-step explanation:

Step 1:  Answer the first question

Area of a triangle → [tex]A = \frac{b*h}{2}[/tex]

[tex]\frac{4*6}{2}[/tex]

[tex]\frac{24}{2}[/tex]

[tex]12[/tex]

Total Area → [tex]12 * 2=24[/tex]

Answer:  Option D, [tex]24\ square\ units[/tex]

Step 2:  Answer the second question

We know that the total side length is 12 but we also know that the triangle base is 4 so we would subtract that from the total length and we get that the rectangle length is 8.  We also know that the width is 6 so we multiply 8 by 6 and we add 24.  This matches option B

Answer:  Option B, [tex](8 * 6 + 24)\ square\ units[/tex]

Answer:

Its 24 for both combined (A)

Step-by-step explanation:

i would say for part B it would be B

Answer:

1440.1 in^2

Step-by-step explanation:

I drew a picture with work; hopefully this is the equation you're using in the lesson.

Answer:

18x3=54

Mia gave Jon 54 apples

54+18=72

Now Jon has 72 apples

Answer:

g(1) = 0

=

lgn= ) +m

g(n) = g(n - 1) +n

=

-

n

g(2) =12

Step-by-step explanation:

12345678910

Answer:

41 degrees

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so angle A is 180-108-31=41 degrees.

Answer: Right triangle

Step-by-step explanation: There is a 90 degree angle diagonal from the hypotenuse

Answer:

right triangle

Step-by-step explanation:

if you double the triangle, it becomes a rectangle

Answer:20 pints of blue paint and 8 pints of yellow paint

Step-by-step explanation:

5 pints of blue and 2 pints of yellow make 7 pints of green. (5 + 2 = 7)You must do this four times to get 28 pints of green. (4  · 7 = 28)So you need 20 (4 · 5) pints of blue and 8 (4 · 2) pints of yellow.

Answer:

21

Step-by-step explanation:

Answer:

B. x ≤ 5

Step-by-step explanation:

This is an inequality problem. It can be solved by examining the arrow and the point it closes on. If the arrow is going left, then all values of x are going to be less than the point it closes on. If the arrow is going right, then all values of x are going to be greater than the point it closes on.
If the circle on the point the arrow is closed/shaded in, then that value will be included in the values of x, giving the inequality either a ≤ or ≥ sign depending on which way the arrow is pointing. If the circle on the point the arrow is open, then that value will not be included in the values of x. The sign will be either < or >.

---------------------------------------------------------------------------

For this problem, the arrow is going to the left of 5, which means all values of x are going to be less than 5. Because the circle is closed, that means that number 5 is included, or x can be equal to 5. If the circle was open, it wouldn't be included. So, the inequality is x ≤ 5.

hope this helps!

Answer:

50% of a number means that we are taking half of a number.  Since 11 is 50% of a number that means that we need to multiply 11 by 2 to get the original number.  When we multiply 11 by 2 we get 22 and that is closest to option A which is 20.

Answer:  Option A, [tex]20[/tex]

Answer:

B, C, E

Step-by-step explanation:

the dependent variable depends on the independent variable

thus, p is dependent on t, p is the dependent variable, and t is the independent variable (B)

every month, Gloria paints 2 pieces

each month, t is increased by 1, and p is increased by 2 (C)

every month, Gloria paints 2 pieces

2 pieces every month = (2*t) pieces  = total pieces = p (E)

Answer:

$37046.05

Step-by-step explanation:

new mean wage = beginning mean wage x (105.125%)

                            = 35240 x 105.125%

                            = 37046.05

Answer:

$37,046.05

Step-by-step explanation:

New mean wage :

Answer:24

Step-by-step explanation:

The theoretical probability of spinning an odd number is equal to 3/5. The experimental probability of spinning an odd number is equal to 1/2.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given the spinner has 5 sections, each section is numbered between 1 to 5. Lakima also spins the spinner 6 times and records the results in this list. {2,4,1,5,3,4}. Therefore,

The theoretical probability of spinning an odd number is equal to 3/5.

The experimental probability of spinning an odd number is equal to 3/6=1/2.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ1

Answer: The theoretical probability of spinning an odd number is equal to 3/5. The experimental probability of spinning an odd number is equal to 1/2. Therefore, the theoretical probability of spinning an odd number is GREATER THAN  the experimental probability of spinning an odd number.

Step-by-step explanation:

Answer:

Dina swam for 37 minutes

Step-by-step explanation:

Dina started swimming at 3:38 p.m

There are 60 minutes in a hour so 60 - 38 = 22

22 is the remaining time in the hour she swam

She swam until 4:15 p.m.

She swam 15 minutes pass the hour

Total Time: 22 minutes + 15 minutes = 37 minutes

Answer:

A roll of quarters from the bank is worth $10 and weighs almost exactly half a pound, so 200 pounds works out to $4000.

Answer:

4.77 cm correct to the nearest hundredth.

Step-by-step explanation:

The new circumference = 19 - 4 = 15 cm.

Circumference C = π * diameter

So the diameter =  C/π = 15/π = 4.7746 cm

Given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area and circumference  of a circle is expressed mathematically as;

Where A is area, C is circumference, r is radius and π is constant pi.

Given the data in the question;

First, we determine the radius of the circle.

24π cm = 2πr

r = 24π cm / 2π

r = 12cm

Now, we find the area.

A = πr²

A = π × (12cm)²

A = π × 144cm²

A = 144πcm²

Therefore, given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².

Learn more about circles here: brainly.com/question/11952845

#SPJ1

The surface area of a similar box given the ratio of volume to surface area of first box is 67.5 square inches

Box A:

Box B:

Volume : surface area

64 : 160 = 27 : x

64/160 = 27/x

64 × x = 160 × 27

64x = 4,320

x = 67.5 square inches

Therefore, the surface area of a similar box given the ratio of volume to surface area of first box is 67.5 square inches

Learn more about ratio:

https://brainly.com/question/2328454

#SPJ1

The value of x that is the data point farthest from the line of best fit is 3

The given parameters are:-

x      Residual

3         -5

5         -1

7          3

9          0

Take the absolute value of the residuals

x      Residual

3         5

5         1

7         3

9         0

The largest absolute value is 5

Hence, the value of x that is the data point farthest from the line of best fit is 3

Read more about residuals at:

https://brainly.com/question/16180255

#SPJ4

Answer:

answer is 3

Step-by-step explanation:

There are 3 red Hexagones, 3 blue triangles and 5 orange rectangles needed to complete the symmetry of the given figure.

Something is symmetrical when it is the same on both sides. A shape has symmetry if a central dividing line (a mirror line) can be drawn on it, to show that both sides of the shape are exactly the same.

The given figure will become symmetrical when 3 red Hexagones, 3 blue triangles and 5 orange rectangle added to the right portion.

Hence there are 3 red Hexagones, 3 blue triangles and 5 orange rectangles needed to complete the symmetry of the given figure.

To know more about symmetry follow

https://brainly.com/question/21191648

#SPJ1

Answer:

The third comment is the true one: "If I know the measures of angles C and B, I can find the measures of A and D."

This is because you can use the angle B to find angle A by subtracting it from 180, and you can find angle D by adding together C and B and subtracting that from 180.

I hope this helps!

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

5x-5 = x+3

4x=8

x=2

The area bounded by the line y=3x from limits x=0 to x=4 will be 24.

Integration is defined as the adding up all the small units to find the whole unit.

It is given in the question that the line y=3x is making a region in a plane from the limits x= to x=4.

So by integrating the function we will get the area.

[tex]\int\limits^4_0 y=\int\limits^4_0 {3x} \, dx[/tex]

[tex]\int\limits^4_0 y=3 \int\limits^4_0 {x} \, dx[/tex]

[tex]\int\limits^4_0 y=[\dfrac{3x^2}{2}]^4_0[/tex]

[tex]\int\limits^4_0 y= \dfrac{(3\times (4)^2)}{2}[/tex]

[tex]\int\limits^4_0 y= 24[/tex]

hence the region bounded by the line y=3x will have the area of 24 square units.

To know more about integration follow

https://brainly.com/question/18831322

#SPJ4

Answer:

A

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is

9 - 4 = 5

The figure is the combination of a square, a rectangle, and a triangle. Then the area of the figure will be 213 mm².

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of a square, a rectangle, and a triangle. Then the area of the figure will be

Area of square = 4 x 4

Area of square = 16 mm²

Area of rectangle = 7 x 9

Area of rectangle = 53 mm²

Area of triangle = 0.5 x 24 x 12

Area of triangle = 144 mm²

Then the area if the figure will be

Area of the figure = 16 + 53 + 144

Area of the figure = 213 mm²

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ1