ASTU = AXYZ, #27 = 28°, m2U = (4x + y)²
#2X=130%, #2Y = (&r=6p)
The equations are -2-
and y
-[

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Linear pair means they form a line, or add to 180°.

2x − 5 + 4x − 7 = 180

6x − 12 = 180

6x = 192

x = 32

we have to do alot for this

so first we gotta change 12.3 into a mixed fraction

n = 5 so 5 ÷ 12.3

Answer:

the portion of the x-axis that the straight line cuts is the interval [5r, -5r].

Step-by-step explanation:

To find the portion of the x-axis that the straight line cuts, we first need to solve the equation for θ. The sine function has a range of [-1, 1], so the value of r must be greater than or equal to 5 in order for the equation to have a solution.

To solve the equation, we can use the fact that sin(π/4 - θ) = cos(θ). Therefore, the equation can be rewritten as:

cos(θ) = 5

We can then use the fact that cos(θ) = x/r to solve for x:

x = 5r

Therefore, the portion of the x-axis that the straight line cuts is the interval [5r, -5r].

Note that this is only valid if r is greater than or equal to 5. If r is less than 5, there are no solutions to the equation and the straight line does not cut the x-axis.

Answer:

Because 3 is negative And There is a + sign ITs jusT like 4 - 3

Step-by-step explanation:

Answer:

See Answer Below

Step-by-step explanation:

Step 1:

4 + - 3   Equation

Step 2:

4 - 3   Subtract

Answer:

1

Adding a negative number is just subtracting. If you add a negative number you are subtracting from the number. So after that, you have a normal equation.

Hope This Helps :)

You can write the quadratic function y = ax^2 + bx + c in the vertex form y = a(x - h)^2 + k

The standard form of the quadratic function is

y = ax^2 + bx + c

Where a, b and c are numbers not equal to zero

The graph of the quadratic function is parabola.

Therefore the parabola or the quadratic function can be expressed in terms of vertex form

The standard from of vertex from is

y = a(x - h)^2 + k

Where a is the constant that tell the whether the parabola is facing up or down

(h, k) is the coordinates of the vertex of the parabola

h = -b / 2a

k = f(h)

Therefore, it is possible to write a quadratic function in vertex form

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Answer:

2

Step-by-step explanation:

It is the number before the variable (m).

Hi there,

Before we can know what the co-efficient is, we need to understand what that means in the first place :)

A coefficient of a variable is the numeral right next to the variable in question.

What's our variable here? The variable is M

Thus,

The coefficient is 2

Please leave 5 stars and a like if you find this answer to be helpful.

Happy to help!

~Gary

Answer:

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.

Substituting these values into the formula, we get:

5,890.625 = 25w(14.5)

5,890.625 = 362.5w

w = 16.25

Therefore, the width of the rectangular prism is 16.25 cm.

Answer:

It's A

Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25

A. Testing the effectiveness of a new reading program by allowing a

classroom to use it and comparing the results with another classroom that doesn't use it

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

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Answer:

62.5 mph

Step-by-step explanation:

rate * time = distance

50 * 3 = 150 mi

70 * 5 = 350 mi

total miles = 500 mi

 total time = 8 hrs

Average = 500 mi / 8hr = 62.5 mi / hr

Slope of line is 1/2.

What is slope?

In arithmetic, the slope or gradient of a line is a range that describes each the direction and therefore the gradient of the road.

Main body:

to find the slope from a graph , we need to fix two co-ordinates at slope for axis

let point at x be = (40,40)

let point y = (80,60)

Formula for slope ,

m = y₂-y₁/x₂-x₁

m = 60-40/80-40

m = 20/40

m = 1/2

hence , slope of line is 1/2.

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The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960

We are told that  two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity

The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.

Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;

x + y ≤ 9

x ≥ 2

y ≥ 3

Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;

20x + 50y ≤ 360

Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;

Z = 80x + 120y  maximize

The solution from the graph attached is;

x = 3, y = 6

Thus, the maximum profit is;

Z = 80(3) + 120(6)

Z = 960

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When lines a and b overlap, angle 1 equals angle 3.

The intersection of two lines in Euclidean geometry might be the empty set, a point, or another line. Distinguishing these circumstances and locating the intersection have applications in computer graphics, motion planning, and collision detection, among others. When two or more lines intersect on a plane, they are referred to as intersecting lines. The crossing lines have a common point, which exists on all of them and is known as the point of intersection. The intersecting lines are two lines that have precisely one common point. The crossing lines have a point in common. The point of intersection is the common point that exists on all intersecting lines.

Here,

To prove ∠1 ≅ ∠ 3, we can use the congruent supplements theorem. According to the congruent supplements theorem, If two angles are supplements of the same angle then two angles are congruent.

Line a and line b intersect                                         (given)

∠3 is supplementary to ∠2 because of linear pair theorem (given)

So, if we take ∠2 as the common angle

And  ∠1 is supplementary to ∠2  by linear pair theorem     ( option D)

Then, ∠1 is supplementary to ∠2 which is supplementary to ∠3

Therefore, ∠1 ≅ ∠3 (according to the congruent supplements theorem)

This is proved when line a and line b intersect, angle 1=angle 3.

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Answer:

C. Negative

Step-by-step explanation:

A quick reminder: an undefined slope makes the line vertical, a slope of 0 makes the line horizontal, a positive slope makes the line go up as x increases, and a negative slope makes the line go down as x increases.

In this case, the line is going down as x increases, meaning the slope must be negative.

Answer:

x = 2, y =7

Step-by-step explanation:

4x - 2y = -6

-6x + 2y = 2

Add the equations together

4x - 2y = -6

-6x + 2y = 2

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

-2x = -4

Divide each side by -2

-2x/-2 = -4/-2

x = 2

now find y

-6x+2y =2

-6(2) +2y =2

-12+2y =2

Add 12 to each side

-12+12+2y = 2+12

2y =14

Divide by 2

2y/2 =14/2

y =7

Answer:

(0,34)

Step-by-step explanation:

For each rise of 14 in the x direction, this graph rises by -8 in the y direction. This means that, when x is 0, and the graph intersects the y axis, the y value will be 50-8-8=34. Therefore, the y intercept of this line is (0,34). Hope this helps!

Answer:

The answer is (0,34)

Answer:The first question requires the calculation of the 6.5% of $400, which is equal to $26.

The second question requires the calculation of 12.5% of $100, which is equal to $12.50.

For the third question, 130 is 20% of 650.

For the fourth question, $5.40 is 120% of $4.50.

For the fifth question, $8.40 is 30% of $28.

For the sixth question, 56% of 39 is $21.84

For the seventh question, $495 is 55% of $900.

For the last question, 144 is 60% of 240.

Step-by-step explanation:

Answer:

Step-by-step explanation:

26

12.5

20%

120%

30%

12.23

900

60%

Answer:

Almost equals 28°

Step-by-step explanation:

cos(x)= 12/18

x= cos^-1 (12/18)

So it equals 48.1896°

Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation:

The expression that is equivalent to the given value would be = 18-i . That is option C.

An equivalent expression is defined as the type of expression that is similar to a given value when simplified.

The given expression = ( 3 + 4i) ( 2 - 3i)

Expand the given expression by removing the brackets as follows:

= =2(3+4i)−3i(3+4i)

=(6+8i)−(9i−12)

= (6+12)+i(8−9)

=18−i.

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Answer:

Nut

Step-by-step explanation:

nut

Answer:

The whole number : 3

Fraction : 2/8

I'm pretty sure this is correct

Answer:

1 is multiplication

2 is simplification

3 is subtraction

4 is simplification

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to show that the point (4, -4) is on the graph of x² +y² = 32, and you want the tangent and normal lines at that point.

The point is on the curve because when x = 4 and y = -4 the resulting statement is 16 +16 = 32, which is a true statement.

The tangent to a circle is most easily found by first considering the normal. The normal line will be the line through the point on the circle and the center of the circle. Here, the center is (0, 0). The slope of the normal line is ...

  m = y/x = -4/4 = -1

The tangent line's slope is the opposite reciprocal of this:

  m = -1/(-1) = 1

The point-slope form of the equation for the tangent line is ...

  y -k = m(x -h) . . . . . equation for line with slope m through point (h, k)

  y -(-4) = 1(x -4) . . . . . equation for line with slope 1 through point (4, -4)

  x -y = 8 . . . . . . . . . . add 4-y to put in standard form

The equation of the tangent line is x - y = 8.

In the section above, we found the slope of the normal line is -1. We also noted that the normal line goes through the point (0, 0). Then the point-slope form of the normal line is ...

  y -0 = -1(x -0)

  y = -x

The equation of the normal line is y = -x.

__

Additional comment

The normal line can also be written as x + y = 0.

The tangent line can also be written as y = x -8.

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Answer:

If you plot these points you will see that the base is 6 (distance from E to F, count the squares).

The height will be 6 ( distance from line EF to D, again count the squares).

Using the Area formula you get A = 1/2 (6) (6) = 18

Answer:

Its C

Step-by-step explanation:

Answer:

its number c

Step-by-step explanation: