If PQRS is a rhombus,which statement must be true? Check all that apply.

Answer:

A. four floors above the ground floor

Step-by-step explanation:

if you start at 0 which is the ground floor and go up 4, that would be +4, since, in theory, going up would be considered positive. So the answer is A.

Answer:

-x-2<y<-x-10

Step-by-step explanation:

Answer:

it's ax+b form answer is Q(x-2)=4x-6

Step-by-step explanation:

ax+b=Q(x),Q(x-2)=a(x-2)+2

Q(3x)=a(3x)+b=12x+2, 3a=12 =>a=4,b=2

the original q of x is 4x+2

Q of x-2 =4(x-2)+2=4x-8+2=4x-6

Answer:

See below

Step-by-step explanation:

Look at it from the front and the side as shown in the diagram and draw what you would  see:

The slope of the given line according to the table is -8

The slope of a function is also defined as the rate of change of the function.

Using the coordinate points (-3, 8) and (-2, 0) from the table

Slope = 0-8/-2-(-3)

Slope = -8/-2+3
Slope = -8/1

Slope = -8

Hence the slope of the given line according to the table is -8

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Answer:

x = 0 or x = 1

Step-by-step explanation:

f(x) = |x| - 4

g(x) = x³ - 4

f(x) = g(x)

|x| - 4 = x³ - 4

Add 4 to both sides.

|x| = x³

x = x³  or  -x = x³

x³ - x = 0   or   x³ + x = 0

x(x² - 1) =   or  x(x² + 1) = 0

x = 0 or x + 1 = 0 or x - 1 = 0

x = 0 or x = -1 or x = 1

x = -1 does not work, so we discard that solution.

Answer: x = 0 or x = 1

Answer:

values of x: x = 1 and x = 0

Step-by-step explanation:

Given:

Want: x - values when f(x) = g(x)

|x| - 4 = x³ - 4, the 4 cancel out on both sides

|x| = x³

|x| - x³ = x³ - x³

|x| - x³ = 0, x ≥ 0

-x - x³ = 0, x < 0

x = 0

x = -1, x ≥ 0

x = 1

x = 0, x < 0

The intersections are x = 0 and x = 1 and no solution

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An equation is formed of two equal expressions. Julian should invest $160,000 in CD and $640,000 in Bond.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the amount invested in CD be represented by x, while the amount invested in bond be represented by y. The total amount that Julian had is,

x + y = 800,000

x = 800,000 - y

The interest that Julian needs in a year is $36,000. Therefore, the total interest should be,

0.025x + 0.05y = 36000

0.025(800,000 - y) + 0.05y = 36000

20,000 - 0.025y + 0.05y =36,000

0.025y = 16,000

y = $640,000

Substitute the value of y

x + y = 800,000

x = $160,000

Hence, Julian should invest $160,000 in CD and $640,000 in Bond.

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Step-by-step explanation:

substitute different values of x inorder to get values of y. so since the value of y will have 2 units substracted from the original function leaving us with shifting. but the graph would be parabolic or slightly curved than my graph.

Answer:  (0, -5) which is choice C

Explanation:

The solution is where the lines cross or intersect. This point is on both lines at the same time to make both equations true.

An example of contextualization in teaching is when writing skills are taught with reference to topics.

It should be noted that the contextualization of basic skills is the instructional approach that gives connections in teaching.

In this case, an example of contextualization in teaching is when writing skills are taught with reference to topics.

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Answer:

Positive number are located above 0 and negative numbers are located below 0 on a vertical number line

Answer:

On a horizontal number line, positive numbers are down from ANS= 0 to the left of 0✔ to the right of 0X up from 0.On a vertical number line, negative numbers are ✔ ANS=down from 0 to the left of 0to the right of 0up from 0.The number 0 is a negative numbera positive number✔Ans= neither positive nor negative.

Step-by-step explanation:

yw

Answer:

2 seconds

Step-by-step explanation:

To find the time it takes for the balloon to reach the ground, you need to set the equation equal to 0. This is because the ground technically has a height of 0.

h(t) = -16² + 128t                         <----- Original expression

0 = -16² + 128t                            <----- Plug 0 in for h(t)

16² = 128t                                    <----- Add 16² to both sides

256 = 128t                                  <----- Solve 16²

2 = t                                            <----- Divide both sides by 128

Therefore, if t = 2, it will take the balloon 2 seconds to reach the ground.

==========================================================

Explanation:

The balloon is on the ground when the height is zero.

Replace h with 0 and solve for t.

[tex]h(t) = -16t^2 + 128t\\\\0 = -16t^2 + 128t\\\\-16t^2 + 128t = 0\\\\-16t(t - 8) = 0\\\\-16t = 0 \ \text{ or } \ t-8 = 0\\\\t = 0/(-16) \ \text{ or } \ t = 0+8\\\\t = 0 \ \text{ or } \ t = 8\\\\[/tex]

Ignore t = 0 because this is when the balloon is initially on the ground. In other words, the balloon starts on the ground, so it makes sense that t = 0 leads to h = 0.

The other solution t = 8 is what we're after. The balloon touches the ground again at the 8 second mark. This is the length of time the balloon is in the air.

A quick way to determine and confirm the answer is to use graphing software. Check out the diagram below. We have a parabola with x intercepts of 0 and 8.

Answer:

25

Step-by-step explanation:

its both numbers squared and added, then square root the result

Answer:

a = -1

Step-by-step explanation:

The slope, m from point   -2,7     to    a,2     has to be   -5

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

-5  = ( 7-2)/(-2 -a)     solve for 'a'......cross multiply

10+ 5a = 5

5a = -5

a = -1

Triangle RST was transformed by using the rule (x,y) → (-x,-y) and the transformation is described by the transformation of 180° rotation about the origin.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Here we have transformed the triangle using the rotation method.

Rotation is the geometric transformation that revolves each point in a shape a predetermined number of degrees around that point. When the number of degrees is positive, the shape spins counterclockwise; when the number of degrees is negative, it rotates clockwise. The following is a broad description of how rotation about the origin can be transformed.

Here the points change to R'(-1,-1) , S'(-3,-1) and T'(-1,-6).

A 180° rotation about the origin will be the transformation.

The triangles RST and R'S'T' are first plotted on a graph. The graph is provided for your reference below.

The original triangle RST, which was in quadrant 1, has changed to triangle R'S'T', which is in quadrant 3, as shown in the graph. The rotation around the origin is 180° from quadrant 1 to quadrant 3.

Your question was incomplete. Please check below for full content.

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.

R (1, 1)

S (3, 1)

T (1, 6) R' (–1, –1)

S' (–3, –1)

T' (–1, –6)

Which describes the transformation?

The transformation was a 90° rotation about origin.

The transformation was a 180° rotation about origin.

The transformation was a 270° rotation about origin.

The transformation was a 360° rotation about origin.

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There are 120 different ways the people can line up

The number of people that arrived is:

n = 5

Take the factorial to calculate the number of ways they can line up

n! = 5!

Expand

n! = 5* 4 * 3 * 2 * 1

Evaluate

n! = 120

Hence, there are 120 different ways the people can line up

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[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming the formula:}[/tex]

[tex]\mathbf{a^2 + b^2 = c^2}[/tex]

[tex]\huge\textbf{If so:}[/tex]

[tex]\mathbf{x^2 + y^2 = c^2}[/tex]

[tex]\mathbf{8^2 + 5^2 = c^2}[/tex]

[tex]\mathbf{8\times 8 + 5 \times 5 = c^2}[/tex]

[tex]\mathbf{64 + 25 = c^2}[/tex]

[tex]\mathbf{89 = c^2}[/tex]

[tex]\huge\textbf{Subtract \boxed{\rm{\bf c^2}} to both sides:}[/tex]

[tex]\mathbf{89 - c^2 = c^2 - c^2}[/tex]

[tex]\huge\textbf{Simplify it: }[/tex]

[tex]\mathbf{-c^2 + 89 = 0}[/tex]

[tex]\huge\textbf{Subtract \boxed{\bf 89} to both sides:}[/tex]

[tex]\mathbf{-c^2 + 89 - 89 = 0 - 89}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{-c^2 = -89}[/tex]

[tex]\huge\textbf{Divide \boxed{\bf{-1}} to both sides:}[/tex]

[tex]\mathbf{\dfrac{-c^2}{-1} = \dfrac{-89}{-1}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{-c^2 = -89}[/tex]

[tex]\huge\textbf{Take the square root of the number:}[/tex]

[tex]\mathbf{c = \pm \sqrt{89}}[/tex]

[tex]\huge\textbf{Thus, this possibly means:}[/tex]

[tex]\mathbf{c = \sqrt{89} \ or\ c = -\sqrt{89}}[/tex]

[tex]\huge\textbf{Thus, your answer possibly is:}[/tex]

[tex]\huge\boxed{\mathsf{c = \sqrt{89} \ or\ c = -\sqrt{89}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

There are 720 ways that the 3 homes could be chosen if the order of visiting is considered. There are 120 ways that the 3 homes could be chosen if the order of visiting is not important.

A permutation is the arrangement or ordering of a finite set of an element.

From the information given:

If there are  10 homes in the desired price range listed in the area:

Then:

So, the number of ways of choosing 3 out of 10 (without replacement) and arranging is:

[tex]\mathbf{^nP_r= \dfrac{n!}{(n-r)!}}[/tex]

[tex]\mathbf{^nP_r= \dfrac{10!}{(10-3)!}}[/tex]

[tex]\mathbf{^nP_r= \dfrac{10\times 9\times 8 \times 7!}{(7)!}}[/tex]

= 720 ways

Now, the number of ways of choosing 3 out of 10 if the order of visiting is not important is the combination of the elements and it can be computed as:

[tex]\mathbf{^nC_r= \dfrac{n!}{(n-r)!r!}}[/tex]

[tex]\mathbf{^{10}C_3= \dfrac{10!}{(10-3)!3!}}[/tex]

[tex]\mathbf{\implies \dfrac{10\times 8\times 9 \times 7!}{(7)! \times 3\times 2}}[/tex]

[tex]\mathbf{\implies \dfrac{10\times 8\times 9}{6}}[/tex]

= 120 ways

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Answer:

As the bag doesnt conatain any purple token;

purple token = 0

number of total tokens in bag = 24

therefore, the probability of choosing a purple token = 0/24

Hope it helps

Answer:

a the assumption is that after the 60% discount, the 20% will contribute to the old price, not the adjusted price

b this is incorrect because the 20% discount will be added on after the 60% discount has been used

c the 500 dollars would turn to 100 dollars

d 40

e it would be best to first apply the 60% coupon first over the 20% coupon

Answer:

2x² - 12x + 13

Step-by-step explanation:

Given following:

Start solving from right to left across the function.

Steps:

Answer:

2x² - 12x + 13

Step-by-step explanation:

Steps:

k[p(x)]

k[x - 3]

2(x - 3)² - 5

2(x² - 6x + 9) - 5

2x² - 12x + 18 - 5

2x² - 12x + 13             pls brainlest

Answer:

Vertical shift up 2, horizontal shift left 2 reflection over x-axis then reflection over the y-axis.

Step-by-step explanation:

The solution to this is 6.62607e-34.

We have the value is raised to the power of -34

We have to solve this using a calculator

This is similar to

[tex]6.62607004081818181818181*\frac{1}{10000000000000000000000000000000000}[/tex]

The number of zeros are 34

We would have  6.62607e-34 as the final solution.

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Based on the perimeter of the rectangle, and the adjustments to make the plot a square, the sides are 13m and 19m.

The perimeter is:

2(L + W) = 64

L + W = 32

The adjustment to make the plot a square would mean that both sides can be equal:

L + 3 = W - 3

L = W - 6

Substituting in the original formula gives:

L + W = 32

W - 6 + W = 32

2W = 38

W = 19 m

L would be:

L + W = 32

L + 19 = 32

L = 13m

The rest of the question is:

No obstante, para que los terrenos puedan ser cuadrados, se tendría que aumentar el ancho en 3 m y disminuir 3 m de largo. Entonces, ¿cuánto mediría el ancho y el largo del terreno rectangular?

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Answer:

0

Step-by-step explanation:

numerator are the same the difference between same number or variable will be zero

The answer is Point B.

Hello,

Step-by-step explanation:

[tex]f(x) = ln(x) {}^{4} [/tex]

[tex](ln(u)') = \frac{u'}{u} [/tex]

[tex]f'(x) = \frac{4ln {}^{} (x) {}^{3} }{x} [/tex]

[tex]f'(10) = \frac{4ln {}^{} (10) {}^{3} }{10} = \frac{12ln(x)}{x} [/tex]

[tex]f(10) = ln(10) {}^{4} [/tex]

[tex]y = \frac{12ln(x)}{x} (x - 10) + 4ln(10)[/tex]

[tex]y = f'(a)(x - a) + f(a)[/tex]

Answer:

[tex]q^2+7q+2[/tex]

Step-by-step explanation:

Check the attachment I added, hope it helps!