The graph of a function is shown: scatterplot of the following points: negative 3 and 2, negative 2 and negative 1, 2 and negative 1, and 3 and 3 Which of the following correctly identifies the set of outputs?

Answers

Answer 1
Let's assign these coordinate points as P1(-3,2), P2(-2,-1), P3(2,-1) and P4(3,3). When you plot these points (shown in the picture), they are widely scattered. Therefore, they must not be a trend. Since you forgot to include the options, I would just make a smart guess that these coordinates form a shape which is quadrilateral. I just have to make use of what I have. From the given, I could possibly determine the area of the quadrilateral. 

First, you need to plot the points in a cartesian plane as what is shown at the top of the attached picture. Then, you make a matrix wherein the x coordinates are placed in the first row, and the y coordinates in the second row (shown as the black box in the picture). Make sure that you arrange the points in order (whether clockwise or counterclockwise). 

Once you create the matrix, you find its determinant. This is done by multiplying the numbers diagonally. The equation will be: arrow down - arrow up. The solution is as follows:

Determinant = [(-3×-1) + (-2×-1) + (2×3)] - [(2×-2) + (-1×2) + (-1×3)] = 20

Then, we use the equation for area of any polygon: A = 1/2*determinant
A = 1/2*20 = 10 square units

Thus, the output of the point plotted together creates a quadrilateral with an area of 10 square units.
The Graph Of A Function Is Shown: Scatterplot Of The Following Points: Negative 3 And 2, Negative 2 And
Answer 2

Answer:

{–2, 1, 2, 5}

Step-by-step explanation:

i got it right on the test lol


Related Questions

Exit Felix was given $125 for his birthday from his grandmother. He plans to put this money toward the purchase of a $250 skateboard. The remainder of the money he plans to earn mowing lawns for the rate of $35 each. What is the least number of lawns Felix will have to mow in order to have enough to buy the skateboard?

Answers

Hi!

First let's set up an inequality.

35x ≥ 125

Now solve for x
125/35 = 3.6 (round up to nearest whole number)
x = 4

The answer is 4

Hope this helps! :)

The expression 0.01E+0.003E^2 gives the thickness in millimeters (mm) of the insulation needed for a high voltage cable. E is the number of kilovolts carried by the cable. What thickness of insulation material is needed for 7 kilovolt cable?

Answers

To determine the thickness of the insulation, we need a function that would relate the thickness of the insulation to the kilovolt carried by the cable since it is the only value that is given here. From the problem statement, we are given the function which is T = 0.01E + 0.003E^2. To determine the thickness, we simply substitute the value of the kilovolt to the function and solve for the value of T. We do as follows:

T = 0.01E + 0.003E^2 
T = 0.01(7) + 0.003(7)^2
 T = 0.217 mm

Therefore, the thickness of the insulation needed would be 0.217 mm.

Answer: 0.217 mm

Step-by-step explanation:

An investment of $200 increases at a rate of 9.5% per year. What is the growth factor, b?

Answers

The standard form for rate equation is:

F = P (1 + r)^n

or

F = P b^n

So b = 1 + r

In this case, r is given as 9.5% or 0.095. Therefore:

b = 1 + 0.095

b = 1.095

The growth factor is 1.095.

How do you solve and graph a piece wise function and state the domain and range?

Answers

for 3)  check the picture, on the right-hand-side

now for 4) check the picture on the left-hand-side

if you notice the intervals, it goes from -∞ and stops at -2, then goes from 2 over to 3, then from 3 onwards, so the domain will also be (-∞ , +∞).

Now, the range...

the 1st subfunction 3-x is just a line coming down form -∞....

the 2nd subfunction is just 2x, also a line going up, now once you get to

the 3rd subfunction is just 5, meaning y = 5, or f(x) = 5, which is just a horizontal line at y = 5.

since the 3rd subfunction goes from x > 3 onwards to +∞, and is just a horizontal line, it doesn't go below 5, so one would think the range is -∞, 5.

however, from the 2nd subfunction if we use say x = -1.9999, 2x ---> 2(-1.9999) = -3.9998 , that's lower than 5, and that's the lowest the piece-wise goes, thus, the range comes from -∞ and goes as low as -3.9998,  (-∞ ,-3.9998]

notice, we didn't use -2, because the 2nd subfunction 2x, doesn't include it in its range -2 < x ⩽ 3.

now, for 4) I used -1.9999 but your teacher might be expecting something like -1 or thereabouts, just an integer amount.  But the idea being, the 2nd subfunction, does not include the -2.

Brett wants to paint the exterior of his two-story home but does not know what length ladder he should buy. The top of his roof is 29 ft above ground level, and (for safety reasons) the ladder should not be at more than an 80° angle from the ground. How long, rounded up to the nearest foot, is the shortest ladder that Brett should buy?

Answers

sin80˚= 29/x; x= 29.44 
so after rounding is 30 ft

Answer:

Brett should buy a ladder of minimum 30 ft length.

Step-by-step explanation:

Brett wants to paint his exterior of a double story home.

Height of the roof of the second story from the ground = 29 feet

Maximum angle between the ground and the ladder should be = 80°

Now from the figure,

sin 80° = [tex]\frac{AB}{AC}[/tex]

0.9848 = [tex]\frac{29}{AC}[/tex]

AC = [tex]\frac{29}{0.9848}[/tex]

AC = 29.45

     ≈ 30 ft

Therefore, Brett should buy a ladder of minimum 30 ft length.

helpppppppppppppppppppppp

Answers

Slope = change in y/change in x.

-2-0/2-1
-2/1
-2

Final answer: -2

The point $(r,\theta)$ in polar coordinates is $(7,5)$ in rectangular coordinates. what is the point $\left( 2r, \theta + \frac{\pi}{2} \right)$ in rectangular coordinates?

Answers

Final Answer:

The rectangular coordinates of the point[tex]$\left( 2r, \theta + \frac{\pi}{2} \right)$[/tex], where [tex]$(r, \theta)$[/tex] corresponds to the polar coordinates (7, 5), are approximately (-13.59, 11.54).

Step-by-step explanation:

In polar coordinates, a point is represented as [tex]$(r, \theta)$[/tex] , where [tex]$r$[/tex] is the distance from the origin, and $\theta$ is the angle with respect to the positive x-axis. In rectangular coordinates, the point is represented as (x, y).

Given that the point [tex]$(r, \theta)$[/tex]  in polar coordinates is equivalent to the point (7, 5) in rectangular coordinates, we can express this relationship as:

[tex]\[ x = r \cos(\theta) \][/tex]

[tex]\[ y = r \sin(\theta) \][/tex]

For the given point $(7, 5)$, we have:

[tex]\[ x = 7 \cos(5) \][/tex]

[tex]\[ y = 7 \sin(5) \][/tex]

Now, you want to find the point [tex]$\left( 2r, \theta + \frac{\pi}{2} \right)$[/tex] in rectangular coordinates. This can be expressed as:

[tex]\[ x' = 2r \cos\left(\theta + \frac{\pi}{2}\right) \][/tex]

[tex]\[ y' = 2r \sin\left(\theta + \frac{\pi}{2}\right) \][/tex]

We know that [tex]$\cos\left(\theta + \frac{\pi}{2}\right) = -\sin(\theta)$[/tex] and [tex]$\sin\left(\theta + \frac{\pi}{2}\right) = \cos(\theta)$[/tex]. Substituting these into the equations:

[tex]\[ x' = -2r \sin(\theta) \][/tex]

[tex]\[ y' = 2r \cos(\theta) \][/tex]

Now, if we substitute the values of [tex]$r$[/tex]  and [tex]$\theta$[/tex] from the given point (7, 5):

[tex]\[ x' = -2 \times 7 \times \sin(5) \][/tex]

[tex]\[ y' = 2 \times 7 \times \cos(5) \][/tex]

Calculating these values will give you the rectangular coordinates of the point $\left( 2r, \theta + \frac{\pi}{2} \right)$.

Suppose? 30% of the people in your town talk on their cell phones and drive at the same time. if you stood on a busy street corner and watched 50 people drive? by, about what proportion would you expect to see talking on their cell? phones?

Answers

30% of 50 = 15 people
15 people would be talking on there cell phones

Write an algebraic equation for the following. The product of three and a squared number is twice the sum of the number and four.

Answers

3*x^2 = 2*(x+4)

x is the unknown number

If f(x) = -2[x] + 8, what is f(-1.8) (PLS HELP ASAP)

Answers

the function is least integer function, not greatest integer function.
in this the output is the closest right side integral value.
-2[-1.8]+8
=-2×-1+8
=2+8
=10

Answer:

option c)10

Step-by-step explanation:

Given is a least integer function as

[tex]f(x) =-2[x]+8[/tex]

We are to find out the function value when x = -1.8

Substitute for x the value -1.8

we have

[tex]f(x) =-2[-1.8]+8\\[/tex]

-1.8 has the integer -1 to the left of it.

Hence we get

[tex]f(x) =-2[-1]+8=10[/tex]

Hence answer is option c)10

The highest temperature recorded in the town of Westgate this summer was 180°F. Last winter, the lowest temperature recorded was -15°F.

Find the difference between these two extreme temperatures.

Answers

195 degrees
Good luck and have nice day.

Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.

Answers

Using product rule;

f(x)=(1+6x²)(x-x²)

f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1

Solving the bracket first;

f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4

f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1

What is the common ratio in the sequence -27, 9, -3, 1....?

A. 3

B. -3

C. 1/3

D. -1/3

Answers

the answer would be 3.hope that helped
find the common ratio, u divide the second term by the first term
9/-27 = -1/3

to find the next term in a geometric sequence, u multiply by the common ratio....
-27 * -1/3 = -27/3 = 9
9 * -1/3 = -9/3 = -3
-3 * -1/3 = -3/-3 = 1


When 23 is subtracted from 4 times a certain number the result is 4

Answers

If we say:
x = the 'certain number' we want to find
Then, we can formulate an equation:
4x - 23 = 4
Now, solve for x:
4x = 27
x = 27/4 = 6.25
Let the unknown number be x.

Given,

4x - 23 = 4

4x = 27

x = [tex] \frac{27}{4} [/tex] = 6.75

Hence, the number is 6.75

Use the remainder theorem to determine the remainder when d4 + 2d2 + 5d − 10 is divided by d + 4.

Answers

The remainder theorem states that the answer when d + 4 is substituted into the whole equation, the remainder would be the answer divided by d + 4. Therefore:

d + 4 = 0

d = -4

Evaluating when d = -4:

d^4 + 2 * d^2 + 5 * d − 10

= (- 4)^4 + 2 * (- 4)^2 + 5 * (- 4) – 10

= 256 + 2 * 16 – 20 – 10

= 256 + 32 – 30

= 258

 

Therefore basing on the remainder theorem, the remainder would then be:

Remainder = 258 / (d + 4)                             ---> Answer

A rectangular prism has a length of 8 feet, a width of 3 feet, and a height of 5 feet. What is the surface area of the rectangular prism?

Answers

surface area = 2(wl +hl+hw)

w=3

l=8

h=5

wl=3*8 =24

hl=5*8 =40

hw=5*3 =15

24+40+15 = 79

2*79 = 158 feet^2

The surface area of the rectangular prism is 158 square feet.

What is surface area?

The surface area of any given object is the area or region occupied by the surface of the object.

Formula for finding the surface area of rectangular prism:

Surface Area = 2{(h × l) + (h × w) +(l × w)]

Where,

l is the length of the rectangular prism

h is the  height of the rectangular prism

w is the width of the rectangular prism

According to the given question

Length of the rectangular prism = 8 feet

width of the rectangular prism = 3feet

height of the rectangular prism = 5 feet.

Therefore,

the surface area of the rectangular prism = 2[(8 × 5)+ ( 5 × 3) + ( 8 × 3)]

surface area of rectangular prism = 2[ 40 +15 +24} = 158 square feet.

Hence, the surface area of the rectangular prism is 158 square feet.

Learn more about the surface area of rectangular prism here:

https://brainly.com/question/14987814

#SPJ2

What is the lateral area of the drawing?


A. 425 km2
B. 1021 km2
C. 200 km2
D. 114 km2

Answers

Each side is an isosceles trapezoid, so ED=2 since you would need to add 2 to each end of the bottom line to get the top line. Now use Pythagorean Theorem to get ED^2+AD^2=AE^2. Plug in your numbers to solve for AE. This is the height of each trapezoid. Then use your formula for the area of a trapezoid, (B1+B2)h/2, to get the area of each side, then multiply by 4 to get the lateral area since there are 4 sides. Remember lateral area is just the sides, then surface area is when you include the area of the two bases. 

Answer:  Option 'D' is correct.

Step-by-step explanation:

Since we have given 4 trapeziums with parallel sides :

[tex]a=8\ km\\b=4\ km[/tex]

For height 'h'. we will consider the right angled triangle with

Perpendicular = 4.3 km and base = 2 km ,

We need to find the hypotenuse:

[tex]H^2=B^2+P^2\\\\H^2=2^2+4.3^2\\\\H^2=4+18.49\\\\H=\sqrt{22.49}\\\\H=4.742\ km[/tex]

Now, Lateral surface area of the figure = 4 × Area of trapezium

[tex]4\times \frac{1}{2}\times (8+4)\times 4.742\\\\=113.81\ km^2\\\\=114\ km^2[/tex]

Hence, Option 'D' is correct.

Which mathematical statement represents “17 more than a number is 26”?

Answers

17 + x = 26

17 +n = 26

n + 17 = 26


 something like those, you didn't give options to choose from.

Answer:

x + 17 = 26

Step-by-step explanation:

mathematical statement represents “17 more than a number is 26”

Let x be the unknown number

17 more means we add 17 with the unknown number x

so it becomes x+17

'is' represents an = sign

So the equation for the mathematical statement  “17 more than a number is 26” becomes  x + 17 = 26

The second term in a geometric sequence is 20. The fourth term in the same sequence is 11.25. What is the common ratio

Answers

let [tex]a_n[/tex] be the n'th term of the sequence.

so [tex]a_1[/tex] is the first term, [tex]a_2[/tex] the second term and so on...

In a geometric sequence with [tex]a_1=c[/tex], and common ratio r, the terms are as follows:

[tex]a_1=c[/tex]
[tex]a_2=cr[/tex]
[tex]a_3=c r^{2} [/tex]
[tex]a_4=c r^{3} [/tex]
.
.
that is, each term is its previous term times the common ratio r.

In our example

[tex]a_2=cr=20[/tex] and [tex]a_4=c r^{3}=11.25 [/tex]

[tex] \frac{a_2}{a_4}= \frac{cr}{c r^{3}}= \frac{1}{ r^{2}}= \frac{20}{11.25}= 1.778 [/tex]

so [tex]r^{2} =1/1.778=0.56[/tex]

[tex]r= \sqrt{0.56}= 0.75[/tex]


Answer: r=0.75

An equilateral triangle has sides of length s. If each side is increased by 3​, represent the new perimeter in terms of s.

Answers

perimeter = s+3+s+3+s+3

= 3s + 9

There are 9 different positions on a baseball team. if a team has 18 players how many different line-ups can the team make?

Answers

Final answer:

To find the number of different line-ups a team can make, we use permutations. Using the formula for permutations, we arrive at the answer of 437,760 different line-ups.

Explanation:

To find the number of different line-ups a team can make, we need to use the concept of permutations. Since there are 9 positions on a baseball team and 18 players, we can arrange the players in a line-up using the formula for permutations:

P(n, r) = n! / (n-r)!

Where n is the total number of players (18) and r is the number of positions (9). Substituting the values, we get:

P(18, 9) = 18! / (18-9)! = 18!/9! = 437,760.

Therefore, there are 437,760 different line-ups that the team can make.

Solve the inequality. 4(p – 4) > 12

Answers

Hello there!

4(p - 4) > 12

First, we need to apply the Distributive Property to the left side of the inequality.
To apply the Distributive Property, we need to multiply the number/variable outside of the parenthesis by all inside numbers/variables inside of the parenthesis.

4(p - 4)
4(p) + 4(-4)
4p - 16 is what we're left with on the left side of the inequality.

Now, our inequality is this:
4p - 16 > 12
Add 16 to both sides.
4p > 28
Divide both sides by 4.
p > 7

p > 7 is your solution.

I  hope this helps!
p>7 is your answer
plz rate

Which expression is right!!!!!! help me!!!!! Help!!!!

Answers

area of a triangle is 1/2 x base x height

c would be the base and x is the height

 so 1/2cx is the expression needed

HELPPPPPPPPPPP Why is the sum of a rational number and an irrational number rational? A. Because the product is always a non- terminating, non- repeating decimal. B. Because the product is always a fraction C. Because the product is always a negative number D. Because the product is always a repeating or a terminating decimal

Answers

The only answer that makes sense is D, as it confirms that there is at least 1 rational number.
I belive the answer is a

What is the solution to the equation 1 over 2 n = 8?

n = 4
n = 6
n = 10
n = 16

Answers

The answer is:  [D]:  " n = 16 " .______________________________________________
Explanation:
______________________________________________
(1/2) n = 8 ;

Multiply EACH side of the equation by "2" ; to "cancel out" the "(1/2)" on the left-hand-side of the equation; and to isolate "n" on one side of the equation; and to solve for "n" ;
______________________________________________
   2* (1/2) n = 2 * 8  ;
______________________________________________
to get:
______________________________________________
              n = 16  ;  which is:  Answer choice:  [D] .
______________________________________________

△DEF has vertices D (2,2), E (-2,-1), and F (-3,5). Complete the following charts indicating the location of △D′E′F′ and △D″E″F″.△DEF is reflected in the y-axis. Then it is translated along the vector ⟨3,−5⟩. Enter your answers as points using parenthesis and commas. Do not use any spaces.

Answers

Reflecting DEF on the y-axis gives the following coordinates of D'E'F' as follows

the coordinate of D' (-2, 2)
the coordinate of E' (2, -1)
the coordinate of F' (3, 5)

Translating D'E'F' by the vector (3, -5) gives the following coordinate of D''E''F'' as follows

the coordinate of D'' (-2+3, 2-5) = (1, -3)
the coordinate of E'' (2+3, -1-5) = (5, -6)
the coordinate of F'' (3+3, 5-5) = (6, 0)

The diagram below shows the transformation of triangle DEF

What is the sum of?

A. S=1.5
B.S=2
C.S=4.5
D.=8

Answers

8.  You can graph this or use the summation function on the TI computer. 

∑4(0.5)ⁿ⁻¹
n=1
For n = 1 → 4(0.5)¹⁻¹ = 4(0.5)⁰ = 4(1) = 4
For n = 2 → 4(0.5)²⁻¹ = 4(0.5)¹ = 4(0.5) = 4(0.5)
For n = 3 → 4(0.5)³⁻¹ = 4(0.5)² 
For n = 4 → 4(0.5)⁴⁻¹ = 4(0.5)³ 
We notice this is a geometric series with first term:
a=4 & r= 0.5
Since r<1, then the formula of the sum when n→∞ is:

Sum= a(1/1-r)
Sum = 4/(1-0.5)
Sum = 4/(1/2) = 4 x 2

 ∞
∑4(0.5)ⁿ⁻¹ = 8 (answer D)
n=1

Write an appropriate direct variation equation if y = 27 when x = 9

Answers

y = kx where k is a constant

27 = k*9
k = 27/9 = 3

required variation is y = 3x

Answer:  y=3x

Step-by-step explanation:

Using the given zero, 2 - 4i, find one other zero of f(x) = x4 - 4x3 + 21x2 - 4x + 20

Answers

The conjugate of the given zero 2 - 4i is 2 + 4i, which must also be a zero of the polynomial f(x) due to the Complex Conjugate Root Theorem.

Given the zero 2 - 4i of the polynomial function f(x) = [tex]x^4 - 4x^3 + 21x^2 - 4x + 20,[/tex] we know by the Complex Conjugate Root Theorem that if a polynomial has real coefficients, then any complex zeros must occur in conjugate pairs. Therefore, the conjugate of 2 - 4i, which is 2 + 4i, must also be a zero of the polynomial function.

As a result, the polynomial can be factored to include the factors (x - (2 - 4i)) and (x - (2 + 4i)). When these factors are multiplied out, they will give you a quadratic factor of the polynomial, which when multiplied with the remaining factors, will result in the original polynomial f(x). The two factors, when multiplied together, yield a quadratic with real coefficients, which means any remaining zeros must also satisfy this quadratic equation.

A quadratic equation is shown below:

4x^2 − 12x + 10 = 0

Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)

Part B: Solve 2x^2 − 13x + 21 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)

Answers

A.
the radicand is b²-4ac
if it is in form ax²+bx+c

when it is
greater than 0, then 2 real roots
equal to 0, then 1 real root
less than 0, then no real roots

so
a=4
b=-12
c=10

b²-4ac=(-12)²-4(4)(10)=144-160<0
so 0 real roots



B.
using quadratic formula because it is easier
for
ax²+bx+c=0
[tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}[/tex]

so

for 2x²-13x+21
a=2
b=-13
c=21

[tex]x=\frac{-(-13)+/-\sqrt{(-13)^2-4(2)(21)}}{2(2)}[/tex]
[tex]x=\frac{13+/-\sqrt{169-168}}{4}[/tex]
[tex]x=\frac{13+/-\sqrt{1}}{4}[/tex]
[tex]x=\frac{13+/-1}{4}[/tex]
x=(13+1)/4 or (13-1)/4
x=14/4 or 12/4
x=7/2 or 3
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