Key Features of Graphs of Functions - Part 1
1. The following statement is false. Highlight the two words that should be
interchanged to make it a true statement.
In a function, every output value corresponds to exactly one input
value.
2 The following graph fails the vertical line test and is not a function.
у
X
leg
Part A Explain how the vertical line test shows that this relation is NOT a
function. Because it has 2 lines interseding
Bart B: Name two points on the graph that show that this relation is NOT a
function. The reason its not a function is because

Answer:

(-2,2)

(-1,-1)

(1,-1)

(3,7)

If you graph it with a graphing calc. and pinpoint the X's(domains) then you can see the Y's(ranges)

If the domain of the function is (-2, -1, 1, 3). Then the range of the function will be (1, -1, -1, 7).

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

g(x) = x² - 2

The value of the function at x = -2 is given as,

g(-2) = (-2)² - 2

g(-2) = 4 - 2

g(-2) = 2

The value of the function at x = -1 is given as,

g(-1) = (-1)² - 2

g(-1) = 1 - 2

g(-1) = - 1

The value of the function at x = 1 is given as,

g(1) = (1)² - 2

g(1) = 1 - 2

g(1) = - 1

The value of the function at x = 3 is given as,

g(3) = (3)² - 2

g(3) = 9 - 2

g(3) = 7

If the domain of the function is (-2, -1, 1, 3). Then the range of the function will be (1, -1, -1, 7).

More about the function link is given below.

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Given :

Apocalyptica Corp. pays a constant $18 dividend on its stock.

The company will  maintain this dividend for the next 4 years and will then cease paying dividends  forever.

To Find :

If the required return on this stock is 7.78 percent, what is the current share

price.

Solution :

Current price ( After 4 hours ) :

[tex]C.P = 18[\dfrac{1}{(1+0.10)^1}+\dfrac{1}{(1+0.10)^2}+\dfrac{1}{(1+0.10)^3}+\dfrac{1}{(1+0.10)^4}]\\\\C.P=\$57.058[/tex]

Therefore, current share  price is $57.058 .

Hence, this is the required solution.

-0.4

Step-by-step explanation:

You need to combine like terms, whatever that means. So you would add 2x and 3x to get 5x, and then 4+(-2), which would get you to 5x+2=0. Next, you subtract 2 from both sides, so you have 5x=(-2), and then you have to divide both sides by 5.

That's how I got x=(-0.4).

Answer:-2, 2/3

Step-by-step explanation:

I did on khan academy

Answer:

20 miles < The distance between the cities < 200 miles

Step-by-step explanation:

The given information on the sign = "Wichita 90 mi, Topeka 10 mi"

Given that the two cites are not colinear, we have;

The number of points specified in the figure = 3 points

The specified points are;

1) The location of the family

2) The location of Wichita, relative to the family's location, = 90 mi

3) The location of Topeka, relative to the family's location, = 110 mi

Therefore, given that the three points are not colinear, they form the vertices of a triangle

The legs of the triangle are 90 mi and 110 mi

The maximum distance between Wichita and Topeka is therefore = 90 + 110 = 200 miles

The minimum distance distance from Wichita to Topeka = 110 - 90 = 20 miles

Therefore, the possible range of distances between the two cities is 20 miles to 200 miles.

Which gives;

20 miles < The distance between the cities < 200 miles.

Answer:

F

Step-by-step explanation:

x - x1/ x2-x1= y - y1/ y2 -y1

x - 3 / -2 -3= y -3/6-3

x-3/-5=y-3/3

3(x-3)= -5(y-3)

3x-9= -5y +15

5y = -3x +24

y= -3x/5 +24/5

Answer:

X=-10

Step-by-step explanation:

Collinear points are points on the same line.

Use the equation of gradient to find the gradient. Then use the gradient to find X

[tex]\frac{Y2-Y1}{X2-X1}=Gradient of a slope[/tex]

[tex]\frac{2-(-4)}{3-0}=\frac{2+4}{3}=\frac{6}{3}=2[/tex]

[tex]\frac{x+4}{-3-0}=2[/tex]

Multiply both sides of the equation to get rid of the fraction.

[tex]\frac{x+4}{-3}*-3 =2*-3[/tex]

x+4=-6

x=-6-4

x=-10

Answer:

-64

Step-by-step explanation:

multiply -16 by 4 to get the total of -64

Answer:

Step-by-step explanation:

Given the expression

-4b + 8c + 12 – 8b – 2c + 6.

To simplify, first collect the like terms

= (-4b-8b)+(8c-2c)+(12+6)

= -12b+6c+18

Factor out the GCF

The GCF is 6

On factoring out;

= 6(-2b+c+3)

If b = 2 and c = -3 the expression becomes:

= 6(-2(2)+(-3)+3)

= 6(-4-3+3)

= 6(-4+0)

= 6(-4)

= -24

Hence the value of the expression when b = 2 and c = -3 is -24

Answer:

3

Step-by-step explanation:

Answer:

I think the answer would be 16?

Step-by-step explanation:

if you plug in the given numbers that represent each letter it would be 6(4)-16/2 = 24-8= 16

Answer:

b is the lowest and d is the highest y axis

Step-by-step explanation:

Answer:

Multiplica el numero por si mismo.

Step-by-step explanation:

Por ejemplo, la raíz cuadrada de 3 es 9 porque 3x3=9

Answer:

Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Step-by-step explanation:

Katarina's equation

4x - 2/3y = 8

In order to convert Katrina's linear equation into standard form,

She should find the least common denominator

4x - 2/3y = 8

{4x(3) - 2y(1)} / 3 = 8

(12x - 2y) / 3 = 8

Multiply both sides by 3

(12x - 2y) / 3 × 3 = 8 × 3

12x - 2y = 24

Divide both sides by 2

(12x - 2y) / 2 = 24 / 2

6x - y = 12

The advice sofiya gave Katrina is to Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Answer:

B) Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Step-by-step explanation:

edg2020

Answer:

D

Step-by-step explanation:

Answer:

297,433 rounded to the nearest hundred would be 297,400. You can see that 33 is less than 50, so it would be rounded down to 0.

Answer:

bat ang pogi ko hahahaha

Answer:

Step-by-step explanation:

yes i think

Answer:

Step-by-step explanation:

Product of slope of perpendicular lines = -1

6x + 5y = 30

Write this equation in y = mx + b  form

        5y = -6x + 30

          y = [tex]\frac{-6}{5}x+\frac{30}{5}[/tex]

          [tex]y=\frac{-6}{5}x + 6[/tex]

Slope of this line m₁ = -6/5

m₁ * m₂ = -1

      m₂ = -1÷m₁ = -1 * [tex]\frac{5}{-6}[/tex]  

[tex]m_{2}=\frac{5}{6}[/tex]     & (-6 , -7)

Equation of the required line: y - y₁ = m (x - x₁)

[tex]y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2[/tex]

Answer:

I think it is $6.50.

Step-by-step explanation:

If you take the value of a quarter .25, and just subtract that 9 times, you'll get your answer

Answer:

should be 65

Step-by-step explanation:

if not then hmu

Answer:

3.71 m

Step-by-step explanation:

Here is the complete question.

A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures 7 cm. The longest side of the drawing measures 20 cm. The longest side of the actual triangular piece to be sculpted must be 10.6 m long. How long will the shortest side of this piece​ be?

Solution

This is a scale drawing question.

Since scale = Scaled size/Actual size, we need to find the scale ratio of the triangle.

Now, the longest side of the drawing measures 20 cm which is equal to the scaled size and the longest side of the actual triangular piece to be sculpted is 10.6 m long which is the actual size.

So, scale = 20 cm/10.6 m

= 0.2/10.6

= 1/53.

Since in the scale drawing, the shortest side of the triangular piece to be made measures 7 cm, this is the scaled size, so the actual size of the shortest side is gotten from

scale = Scaled size/Actual size.

So,

Actual size = Scaled size/scale

= 7 cm ÷ 1/53

= 53 ×7 cm

= 371 cm

= 3.71 m

Answer:

4

Step-by-step explanation:

The formulae for Curved surface

area = πrh

Area = 88cm2

height = 14cm

radius = ?

Let π be 22/7

88 = 22/7 x r x 14

cross multiply

88 x 7 = 22 x 14 x r

616 = 308r

Divide both sides by 308

r = 2

Diameter = Radius x 2

so our radius is 2, 2 x 2 = 4

Answer: 24m+28

Step-by-step explanation:

Distribute the negative four among the two terms.

Answer:

[tex](12*2)m+(-56/-2)[/tex]

I hope this helped :)

Answer:

1,2,3, and 5

Step-by-step explanation:

I plugged them all into a calculator

Answer:

- 8/3

Step-by-step explanation:

eh

The fractions that have the same value as 16 ÷ (–3) is StartFraction 16 over negative 3 EndFraction. Option A is correct.

As we all know that a fraction comprises of majorly the upper part which is the numerator, separated by a division line, and the lower part which is the denominator.

The given expression 16 ÷ (–3) can be represented in fraction as;

[tex]\mathbf{\dfrac{16}{-3}}[/tex]

From the given options:

A. StartFraction 16 over negative 3 EndFraction

[tex]\mathbf{\dfrac{16}{-3}}[/tex]

B. StartFraction negative 16 over negative 3 EndFraction

[tex]\mathbf{=\dfrac{-16}{-3} }[/tex]

[tex]\mathbf{=\dfrac{16}{3} }[/tex]

C. StartFraction negative 16 over 3 EndFraction

[tex]\mathbf{\dfrac{-16}{3}}[/tex]

D.  StartFraction 16 over 3 EndFraction

[tex]\mathbf{\dfrac{16}{3}}[/tex]

E.  Negative (StartFraction 16 over 3 EndFraction)

[tex]\mathbf{-\Big(\dfrac{16}{3}\Big)}[/tex]

[tex]\mathbf{\dfrac{-16}{-3}}[/tex]

F. Negative (StartFraction 16 over negative 3 EndFraction)

[tex]\mathbf{-\Big(\dfrac{16}{-3}\Big)}[/tex]

[tex]\mathbf{\dfrac{-16}{3}}[/tex]

Therefore, from the above explanation, we can see that only option A is correct.

Learn more about fractions here:

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Answer:

i cant help i do not know answer

Answer:i-

Step-by-step explanation: good luck

Answer:

2 1/2

Step-by-step explanation:

The unit rate for the given parameters is 3 1/2 square feet /hour.

Given that, 7/8 square feet in 1/4 hour.

We need to find the unit rate.

In a unit rate, the denominator is always 1. So, to find the unit rate, divide the denominator with the numerator in a way that the denominator becomes 1.

Now, unit rate = 7/8 ÷ 1/4

=7/8 × 4 =7/2

=3 1/2 square feet /hour

Therefore, the unit rate for the given parameters is 3 1/2 square feet /hour.

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Answer: x=6

Step-by-step explanation:

Step 1: Remove parentheses.

4(2x-5)-6=6+9+2x-54(2x−5)−6=6+9+2x−5

Step 2: Simplify  6+9+2x-56+9+2x−5  to  2x+102x+10.

4(2x-5)-6=2x+104(2x−5)−6=2x+10

Step 3: Expand.

8x-20-6=2x+108x−20−6=2x+10

Step 4: Simplify  8x-20-68x−20−6  to  8x-268x−26.

8x-26=2x+108x−26=2x+10

Step 5: Add 26 to both sides.

8x=2x+10+268x=2x+10+26

Step 6: Simplify  2x+10+262x+10+26  to  2x+362x+36.

8x=2x+368x=2x+36

Step 7: Subtract 2x2x from both sides.

8x-2x=368x−2x=36

Step 8: Simplify  8x-2x8x−2x  to  6x.

6x=36

Step 9: Divide both sides by 6.

x= 36/6 as a fraction

Step 10: Simplify  \frac{36}{6} to 6.

x= 6x

[tex] \bold{4(2x - 5) -6 = 6+9) + (2x - 5)}[/tex]

[tex] \bold{4(2x−5)−6=6+9+2x−5}[/tex]

[tex] \bold{4(2x−5)−6=2x+10}[/tex]

[tex] \bold{8x−20−6=2x+10}[/tex]

[tex] \bold{8x=2x+10+26}[/tex]

[tex] \bold{8x=2x+36}[/tex]

[tex] \bold{8x−2x=36}[/tex]

[tex] \bold{6x=36}[/tex]

[tex] \bold{x = \cfrac{36}{6}} [/tex]

[tex] \bold{x = 6}[/tex]

Note: The Parentheses must be eliminated to then use the law of signs, then we must expand the numbers, then simplify (that is, subtract) Now in the next step is to Add 26 on both sides then we must subtract and then add until we get the result of 6, so that ultimately we can take out a fraction and give us the correct answer, which is [tex]\bold{x=6}[/tex]

The midpoint would be (1/2, -3/2). Hope this helps! Please mark brainliest:)

Answer:

-21f-16

Step-by-step explanation:

4(-3f-4)-9f

-12f-16