The variables x and y vary inversely. Use x = 4 and y = 8 to write an equation relating x and y. Then find y when x
= 2.

take two points

Slope

Answer:

[tex]m=\dfrac{7}{5}[/tex]

Step-by-step explanation:

To find the slope of a line, find two points on the line and define them as follows:

[tex]\textsf{let}\:(x_1,y_1)=(-3,-3)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,4)[/tex]

Substitute the points in the slope formula and solve for m:

[tex]\begin{aligned}\textsf{slope}\:(m) & =\dfrac{y_2-y_1}{x_2-x_1}\\\\ & =\dfrac{4-(-3)}{2-(-3)}\\\\ & = \dfrac{4+3}{2+3}\\\\ & = \dfrac{7}{5}\end{aligned}[/tex]

Therefore, the slope of the given line is [tex]\dfrac{7}{5}[/tex]

The graph of the given function f(x)=2arcsin (x-4)+1, looks like the curve.

We have given that the function

f(x)=2 arcsin (x-4)+1,

We have to determine the graph of f(x)

Therefore we gave

Graph

Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

An ordered pair (x, y) represents a position of a point on a coordinate graph, where x is the number on the x-axis that the point lines up with and y is the number on the y-axis that the point lines up with.

The numbers x and y in the ordered pair (x, y) are called coordinates.

We find the coordinate of the given graphs and draw a graph of the given function.

x           f(x)

3          −π−1

7/2        −π/3−1

4            −1

9          2π/3−1

5            π−1

Therefore the graph of the given function is

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Answer:

19.8 rounded to 20m

Step-by-step explanation:

reason;

Area=1/2 x perimeter x apothem

27=1/2 x p x 2.726

Divide both sides by 1/2

54= p x 2.726

Now divide both sides by 2.726 to isolate p

Answer p=19.8

Answer:

1)  N/A

2) ( -0.714, 3.857)

Step-by-step explanation:

for question 1 since the slope is the same, they will never intersect

for question 2 they intersect at (-0.714, 3.857)

1) as for the coordinates, for y=3x+2 it is (0,2) (-2/3, 0) it's an upward slope

y=3x-5 coordinates are (0, -5) (1.667, 0) it's an upward slope

2) 4x+y=1 coordinates are (0,1) (1/2, 0) it's a downwards slope

y=3x+6 coordinates are (-2, 0) (0,6) it's a upward slope

Answer:

20

Step-by-step explanation:

You need to times 8*4 to get 32 therefore u times 5*4 to get 20

Answer:

x = 6

Step-by-step explanation:

2x - 3 = 9

so 9+3 = 12, and 12÷2 = 6

the value of x is 6

[tex]\large \boxed{\sf y = (x - 2)^2 - 4}[/tex]

[tex]\large \boxed{\sf Quadratic \ Function}[/tex]

A linear function shall increase linearly. Here due to mass differences between points, it is visible that it is not a linear function.

There is a better way to understand what type of equation it is after plotting the coordinates on the graph.

After looking so, we can determine this as quadratic function.

** Not a exponential, inverse, linear function **

Quadratic function: y = a(x - h)² + k

Locate (h, k) = (2, -4)

Take any other suitable point for example = (0, 0)

Insert values to find (a),

a(0 - 2)² - 4 = 0

4a = 4

a = 1

Now Join together: y = 1(x - 2)² - 4   --- Quadratic Equation

Exponential

It should be a parabola

The best shortcut trick is the fact about the parabola is that parabola is symmetric and axis of symmetry goes through vertex

So on both sides of vertex i e same distance on x from vertex the two x values have same y value .

Observe the table and find similar y values

FIND midpoint of x which is axis of symmetry

We have been sured axis of symmetry is at x=2

Form equation

Put (5,5)

Final equation

Answer:

Step-by-step explanation:

6z² + 12z +1 8​

= 6(z^2 + 2z + 3).

That's it.

Answer:

[tex]{ \underline{ \underline{ \mathfrak{ \: answer : \: \: { \tt{ \sin(D) = \frac{ \sqrt{2} }{2} \: \: }} }}}}[/tex]

Step-by-step explanation:

[tex]{ \rm{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ [/tex]

[tex]{ \tt{h = \sqrt{ {(opposite)}^{2} + {(adjacent)}^{2} } }} \\ { \tt{h = \sqrt{ 2{(2 \sqrt{15}) }^{2} } }} \\ { \tt{h = \sqrt{2(4 \times 15)} }} \\ { \tt{h = \sqrt{120} }}[/tex]

Therefore:

[tex]{ \tt{ \sin(D) = \frac{2 \sqrt{15} }{ \sqrt{120} } }} \\ \\ { \tt{ \sin(D) = \frac{2 \sqrt{15} }{2 \sqrt{15 \times 2} } }} \\ \\ { \tt{ \sin(D) = \frac{1}{ \sqrt{2} } }} \\ \\ { \boxed{ \tt{ \sin(D) = \frac{ \sqrt{2} }{2} }}}[/tex]

Answer:

(C) The largest possible profit the company can make is 7 million dollars

Step-by-step explanation:

Proverbs 3:5-6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Trust in the Lord with all your heart

   and lean not on your own understanding;

in all your ways submit to him,

   and he will make your paths straight.

_________________________________________________________

Have a blessed day!!

:)

Explanation:

We can think of the square in the middle of the four others as the floor

The surrounding four squares are the walls that fold upward.

The square at the very right side will then form the ceiling.

Side E and side L join at the top left edge.

See the diagram below.

Answer: 120

Step-by-step explanation:

Janet makes 60 in 8 hours

60 x 2

8 x 2

so the answer is 120

Answer:

yes

Step-by-step explanation:

you seem to be correct

Answer:

It is in vertex form so:

(x-h) + k --> (x-(-5)) + 8 = (x + 5) + 8

(h,k)

(-5, 8)

This equation turns out to be linear. So it would be an absolute maximum probably since negative values of x are greater than positive values of x.

Answer:

For me, this quadratic expression can simply be factored by 4 because all the values divide by four. so:

[tex]4( {2}t^{2} - 4t - 1)[/tex]

Step-by-step explanation:

Just factor it by 4

Answer:

4(2t^2 - 4t - 1)

Step-by-step explanation:

8t²-16t-4​

= 4(2t^2 - 4t - 1)

2t^2 - 4t - 1  is prime so there are no more factors.

[tex](2x + 1)(x + 1)[/tex]

•Distribute

[tex](2x + 1)(x + )[/tex]

[tex]2x(x + 1) + 1( x + 1)[/tex]

•Distribute

[tex]2x(x + 1) + 1(x + 1)[/tex]

[tex]2x² + 2x1(x + 1)[/tex]

•Multiply

[tex]2x² + 2x + 1(x + 1)[/tex]

[tex]2x² + 2x + x + 1[/tex]

•Combine like terms

[tex]2x² + x + x + 1[/tex]

[tex]2x²+ 3x + 1[/tex]

Solution:

[tex]2x² + 3x + 1[/tex]

Explanation:

see the graph

Answer:

Area = 38 ft^2

Step-by-step explanation:

Divide two parts of a rectangle.

Big Rect: A = 10 ft * 3 ft = 30 ft^2

Small Rect: A = 2 ft * 4 ft =8 ft^2

Total Area = 30 + 8 = 38 ft^2

Answer:

Here!! Hope i helped.

These same things are present

So

Answer:

[tex]\sf \overline{PQ}=12[/tex]

[tex]\sf \overline{UV}=10[/tex]

[tex]\sf \overline{TV}=7[/tex]

[tex]\sf m \angle T=45^{\circ}[/tex]

[tex]\sf m \angle R=75^{\circ}[/tex]

[tex]\sf m \angle Q=60^{\circ}[/tex]

[tex]\sf m \angle U=60^{\circ}[/tex]

Step-by-step explanation:

≅ sign means that the triangles are congruent, which means they both have the same shape and the same size.

When comparing congruent shapes, inspect the order in which the vertices are given in the statement.

Therefore, if ΔPQR ≅ ΔTUV then:

Similarly:

Therefore, from inspection of the triangles:

[tex]\sf \overline{PQ} \cong \overline{TU}=12[/tex]

[tex]\sf \overline{UV} \cong \overline{QR}=10[/tex]

[tex]\sf \overline{TV} \cong \overline{PR}=7[/tex]

[tex]\sf m \angle T \cong m \angle P=45^{\circ}[/tex]

[tex]\sf m \angle R \cong m \angle V = 75^{\circ}[/tex]

The sum of the interior angles of a triangle is 180°, therefore:

[tex]\sf m \angle Q \cong m \angle U=180^{\circ}-45^{\circ}-75^{\circ}=60^{\circ}[/tex]

Answer:

120h = 5 days

240h = 10 days

144h = 6 days

720m = 1/2 (half a day)

13w = 91 days

please make this brainliest

Answer:

Step-by-step explanation:

7x - 3x = 92 - 24

4x = 68

x = 68 / 4

x =17

Answer:

143

Step-by-step explanation:

These are corresponding angles meaning they are congruent. So we just have to set them equal to each other and solve for x. Then plug in x.

7x + 24 = 3x + 92

subtract 3x from both sides

4x + 24 = 92

subtract 24 from both sides

4x  = 68

divide both sides by 4

x = 17

Now plug in x to angle A, which is 7(17) + 24

119 + 24

then add

you get:

143

Answer:

A or B ( if it is multiple choice as B is the answer to A)

Answer:

C and E

Step-by-step explanation:

C and E are both equal to (2^3)^4

Step-by-step explanation:

a = -2

b = 3

c = 5

[tex]3ac - a + 2b[/tex]

= Solution,

= 3 ( - 2 ) × 5 - ( - 2 ) + 2 × 3

here ... ( + ) × ( - ) = ( - )

= - 6 × 5 - ( - 2 ) + 2 × 3

here .... ( - ) × ( - ) = ( + )

= - 6 × 5 + 2 + 2 × 3

= - 30 + 2 + 6

= - 30 + 8

here the ( - ) have greater variable so...

= - 22

hence - 22 is the answer . ....

Answer:

It's 90 if you go through k12 :]

Step-by-step explanation:

The number of ways to choose a combo meal is 24.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

2 drinks, 4 main dishes, and 3 desserts

Now,

To find the number of different combo meals possible, we can use the fundamental counting principle. This states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.

2 ways to choose a drink

4 ways to choose a main dish

3 ways to choose a dessert

2×4×3=24

Therefore, by algebra the answer will be 24.

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Answer:

prior to

Step-by-step explanation:

Step-by-step explanation:

all the pink area above the blue line (above means ">", and the blue line is -1/2 x), and not including the line.