Does This. Graph Represent A Function? Why Or Why Not?

Here are the answers below that I got. Hope this helps mate. Cheers.

Answer:

As mention in the explanation steps.

Step-by-step explanation:

The following expression or phrase to each box are helpful to complete the proof.

(1). We say that ∠ACB and ∠BCD are supplementary, from linear pair of postulate.

(2). ∠ACB + ∠BCD =180°, because ∠ACB and ∠BCD are supplementary (from the difinition of supplementary angles).

(3). ∠ACB +45° = 180° because ∠BCD =45°(substitute).

(4).Subtraction properties of equality ( because we subtract 45 degree from both sides of the previous equation).

(5). ∠ABC is obtuse, because m∠ABC grater than 90°.

(6). From the definition of obtuse triangle (ΔACB is an obtuse triangle because ∠ACB =135 degree which is grater than 90 degree).

Answer:

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the center (-2, 1) → h = -2 and k = 1.

The radius is the distance between the center and the given point.

Therefore put the coordinates of the points (-2, 1) and (-4, 1) to the formula of a distance between two points:

[tex]r=\sqrt{(-4-(-2))^2+(1-1)^2}=\sqrt{(-2)^2+0^2}=\sqrt{4}=2[/tex]

We have the equation in standard form:

[tex](x-(-2))^2+(y-1)^2=2^2\\\\(x+2)^2+(y-1)^2=4[/tex]

Convert to the genereal form using:

[tex](a\pm b)^2=a^2\pm2ab+b^2[/tex]

[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\\\\x^2+y^2+4x-2y+5=4\qquad\text{subtract 4 from both sides}\\\\\boxed{x^2+y^2+4x-2y+1=0}\to\boxed{B.}[/tex]

$6 dollars on candy because 35+25+10=70, 76-70=$6

Answer:

15.5

Step-by-step explanation:

Answer:

Amount John gets paid per hour [tex]6.92[/tex] Dollars per hour ,

Step-by-step explanation:

To find how much he gets paid per hour we need to divide the total payment he received by the total number of hours he worked.

Amount John gets paid per hour = [tex]\frac{173}{25}[/tex] Dollars per hour.

                                                       =[tex]6.92[/tex] Dollars per hour

Answer:

i think that the best answer to the question is b

Step-by-step explanation:

Your answer would be D, The translation doesn't change the size or shape. Just location.

Hope this helped.

Answer:

No.  He is short by 2 minutes

Step-by-step explanation:

Given that Denzel can mow 1/8 of his yard every 7 minutes.

Hence he can mow the full yard in 7(8) = 56 minutes.

Now he has to do 3/4 of his yard and time is 40 minutes

For 3/4 of yard time taken would be = 3/4 (56) = 42 minutes.

If he had 40 minutes to mow 3/4 of the yard, he will not  have enough time  since he is short of time by 2 minutes.

[tex]5\cdot5\cdot4\cdot4\cdot3\cdot3\cdot2\cdot2\cdot1\cdot1\cdot2=28,800[/tex]

Answer:

If you can maintain this speed you will travel 120 km in 1 hour.

Explanation:

The translated question is, A cheetah can travel 20 kilometers in 10 minutes. If I could maintain this speed for one hour, how many kilometers would you travel?.

 Let us find the speed of cheetah

            Distance traveled =  20 km

            Time taken = 10 minutes = 10/60 = 1/6 hours

            So speed = [tex]\frac{20}{\frac{1}{6} } =120[/tex]km/hr.

 So speed of cheetah = 120 km/hr, which means cheetah will travel 120 km in 1 hour.

If you can maintain this speed you will also travel 120 km in 1 hour.

(2x+1)+89=180.  180 is the angle of a straight line.  Set your two known sides equal to 180 and solve for x if needed.

Answer:

answer is 1/7

Step-by-step explanation:

Given that there were some orange balls in a bag.

The probability of choosing two orange balls without replacement is 1/35 , and the probability of choosing one orange ball is 1/5 .

We have to find out the probability of drawing a second orange ball, given that the first ball is orange

Let A - I ball orange

B = II ball orange

Then P(AB) = 1/35 (given)

P(A) = 1/5 (given)

The probability of drawing a second orange ball, given that the first ball is orange = P(B/A)

=P(AB)/P(A)

= 1/35 divided by 1/5

= 1/7

answer is 1/7

Answer: 1/7

Step-by-step explanation:

place x to the other side of the equation

x=15/2.5

x=6

Answer:

6

Step-by-step explanation:

If you take 15 and divide it. by 2.5 you. get 6

(18)

2.5% of 129,500 is

$129500 * 0.025 = $3237.50 is the commission on the sale

(19)

sales $3012

commission 3.5% of sales: 0.035 * 3012 = $105.42

Raquelle's total earnings: $290 + 105.42 = $395.42

Answer:

2.06

Step-by-step explanation:

you should divide the 10.30 dollars by 10 which wlll give you the answer of one of them then you just multiply what you got by 2 ((:

To find the cost for 2 rubber stamps from the given information about 10 rubber stamps costing $10.30, the cost for 2 stamps is $2.06.

The cost for 10 rubber stamps is $10.30. To find the cost for 2 rubber stamps, we need to calculate the cost per rubber stamp and then multiply it by 2.

Cost per rubber stamp = Total cost / Number of rubber stamps = [tex]\frac{10.30}{10} = 1.03[/tex]

Cost for 2 rubber stamps = $1.03 per rubber stamp [tex]\times[/tex] 2 rubber stamps = $2.06

Apply the vertical line test. Think of a vertical line moving from left to right in the graph. If the graph of the relation intersects the vertical line in more than one point in any position of the vertical line, then the relation is not a function.

The only graph that passes the vertical line test is the graph at the bottom right.

The graph at the bottom right is a function. All others are not.

Answer:

13.33

Step-by-step explanation:

Initial velocity of the ball (u) = 80 ft/ sec

Final velocity of the ball after reaching the ground (v) = 0

Distance covered by the ball to reach the ground (s) = 8 ft

Let "a" be the acceleration of the ball.

We know, [tex]2as=v^{2}-u^{2}[/tex]

[tex]2a(8)=0-80^{2}=-6400[/tex]

[tex]a=-\frac{6400}{16}[/tex]

[tex]a=-400ft/s^{2}[/tex]

Let "t" be the time required to reach the ground.

We know,

[tex]v=u+at[/tex]

[tex]t=\frac{v-u}{a}[/tex]

[tex]t=\frac{0-80}{-400}[/tex]

[tex]t=0.2s[/tex]

The ball will hit the ground in 0.2 second.

 mowing lawns: 7 * $7.90 = $55.30

+      babysitting: 1 * $6.90 = $  6.90

                                              $62.20

Answer: $62.20

We are given a figure where M, N , O and P points are given.

We need to explain if points O, N, and P collinear or not.

Note: All co-linear points are in a straight line.

From the figure, we can see that O and N points are in a straight line but point P is aside.

So, the points O, N, and P are not collinear.

Therefore, correct option is "No, the three points are not collinear".

The function for the given situation is f=60h+75.

Given that, a plumber's fees f are $75 for house calls and $60 per hour h for each hour worked.

We need to model a function for the given situation.

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h.

According to the question, we can model function as follows:

f=60h+75

Therefore, the function for the given situation is f=60h+75.

To learn more about the function visit:

https://brainly.com/question/28303908.

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55/20=2 as qutiont and 15 as remainder

2X84=168

15X5=75

answer=243

Answer: x = -1, -3, 7 + √62, 7 - √62

Step-by-step explanation:

q                                    p

x⁴ - 10x³ - 66x² - 94x - 39

[tex]\frac{p}{q}[/tex] = +/- [tex]\frac{1*3*13*39}{1}[/tex]

possible rational factors: 1, -1, 3, -3, 13, -13, 39, -39

Use synthetic division or long division to see which factor will leave a remainder of 0.

try x + 1 = 0  ⇒   x = -1

-1   |  1     -10     -66     -94     -39

    |  ↓     -1        11        55      39

       1     -11      -55     -39       0

(x + 1)(x³ - 11x² - 55x - 39)        

next, try x + 3 = 0  ⇒   x = -3   for the new polynomial

-3   |  1     -11     -55     -39

     |  ↓     -3       42     39

        1     -14      -13       0  

(x + 1)(x + 3)(x² - 14x - 13)

Lastly: find the zeros by setting each factor equal to zero and solve.

x + 1 = 0  ⇒  x = -1

x + 3 = 0   ⇒ x = -3

x² - 14x - 13 = 0

[tex]x = \frac{-(b) +/- \sqrt{(b)^{2} -4(a)(c)}}{2(a)}[/tex]

  [tex]= \frac{-(-14) +/- \sqrt{(-14)^{2} -4(1)(-13)}}{2(1)}[/tex]

  [tex]= \frac{14 +/- \sqrt{196+52}}{2}[/tex]

  [tex]= \frac{14 +/- \sqrt{248}}{2}[/tex]

  [tex]= \frac{14 +/- 2\sqrt{62}}{2}[/tex]

  [tex]= 7 +/- \sqrt{62}[/tex]

Answer:

a) 0.70

b) 0.30

c) 12/45 =4/15

d) 2/45

Step-by-step explanation:

a) Prob of drawing a marble red or white = No of red and white marbles/total marbles

= 7/10 = 0.70

b)  Prob of drawing a marble neither red nor white = 1-7/10 = 0.30

c)  Prob of drawing two marble one red and one  white at the same time

= [tex]\frac{4C1 (3C1}{10C2 } =\frac{12}{45}[/tex]

d) Prob of drawing two marble one blue and orange  white at the same time

= [tex]\frac{2C1 (1C1}{10C2 } =\frac{2}{45}[/tex]

So, the product of (9x - 2)(3x - 8) in standard form is: [tex]27x^2 - 78x + 16[/tex]

To multiply the expressions (9x - 2) and (3x - 8)

Step 1: Use the distributive property

(9x - 2)(3x - 8) = 9x * (3x) + 9x * (-8)

(9x - 2)(3x - 8) = -2 * (3x) - 2 * (-8)

So , perform the multiplications:

Multiply the terms:

[tex]9x * 3x = 27x^2[/tex]

9x * (-8) = -72x

-2 * 3x = -6x

-2 * (-8) = 16

Combine like terms:

[tex]27x^2 - 72x - 6x + 16[/tex]

Simplify further by combining like terms:

27x^2 - 78x + 16

So, the product of (9x - 2)(3x - 8) in standard form is: [tex]27x^2 - 78x + 16[/tex]

Learn more about Multiplication from

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Answer:

40th customer

Step-by-step explanation:

Given that there is a promotional event

A sporting good store gave t shirt and free water bottle.

T shirt was given to 8th customer and water bottle to every 10th customer.

For the first person who should get both, he should have number as least common multiple of 8 and 10

8 = 2x2x2

10 = 2x5

Hence least common denominator = 2x2x2x5 = 40

Thus 40th customer will be the first to get both.

it should be about 4-5 hours because her mom sleeps half the time that Mei sleeps!! you are welcome!

Remember that when two angles are vertical angles, their angle measurements are the same, as the angles are congruent.

Note the Vertical Angle Theorem. Angles vertically opposite (directly opposite) when two lines intersect are congruent with each other.

Now note that supplementary means 180°

Set the equation. Let the angles = x

2x = 180

Isolate the x. Note the equal sign. What you do to one side, you do to the other. Divide 2 from both sides

(2x)/2 = (180)/2

x = 180/2

x = 90

90° is the measurement of each angle.

~Rise Above the Ordinary

14.50 times 0.20 = 2.9

He would give a $2.90 as a tip of 20% from a bill of $14.50