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Answer:

Its removable

Step-by-step explanation:

yes

this is a removable discontinuity

Here we have the piecewise function:

[tex]f(x) = \frac{-4x}{x - 3}[/tex]     if x < 5

[tex]f(x) = -7x + 25[/tex]    if x > 5.

We want to see which type of discontinuity we have at x = 5.

Remember that:

If we have two asymptotes, then is an infinite discontinuity

if just one point is missing, then it is a removable discontinuity

If the value drastically changes after the discontinuity, then its a jump discontinuity

Mixed case is when two of these happen.

Because we have a piecewise function, we need to evaluate both parts in x = 5.

If both parts give the same value, then we will have a removable discontinuity

if the values are different, then we have a jump discontinuity.

first part:

f(5) = -4×5/(5 - 3) = -20/2 = -10

second part:

f(5) = -7×5  + 25 = -35 + 25 = -10

So we got the same value, which means that this is a removable discontinuity

in the image below you can see the graph of the piecewise function, and see that as x tends to 5, both sides of the function tend to the same value.

if you want to read more about this,, you can see:

https://brainly.com/question/17317969

Answer:

225°: 45° (π / 4)

Answer:

Step-by-step explanation:

6th term.

a

6

=

32

7th term.

a

7

=

36

Answer:

mean=sum of data/no of data

=12/3

=4

Step-by-step explanation:

therefore mean=4

Answer:

3+6+3 = 12

12/3 = 4

Step-by-step explanation:

Therefore the mean is 4

Answer:

2/1 or 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

-3 ≤ x <-2

Step-by-step explanation:

First, you should set up the equation to solve it, which is,

21 ≤ -3(x-4)<18

Then you should simplify the equation to,

21 ≤ -3x+12<18

Then subtract 12 from both sides.

9 ≤ -3x<6

Lastly, divide -3 from both sides.

-3 ≤ x<-2

Answer:

∠A = 126°

Step-by-step explanation:

Supplementary angles are angles that add up to equal 180°

Given that ∠B = 54°, we can subtract 54° from 180°.

180° - 54° = 126°

∠A = 126°

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

parallel I think

Step-by-step explanation:

move the x to the left and divide by y to simplify. the new equation for the bottom will be y=-2x+5. For it to be parallel they have to have the same slope

[tex]x_{v}[/tex]Answer:

The vertex of an up - down facing parabola of the formy = ax" + bx + c is xy =

The parabola params are:

a = 8, b = -14, c =3

[tex]x_{v}=b/2a[/tex]

[tex]x_{v}[/tex]=-(-14)/2·8

simplify

[tex]x_{v}[/tex]=-(-14)/2·8

[tex]x_{v} = 7/8[/tex]

Plug in [tex]x_{v}[/tex]=7/8to find the [tex]y_{v}[/tex] value

[tex]y_{v}[/tex]= -25/8

Therefore the parabola vertex is

(7/8 , -25/8)

If a < 0, then the vertex is a maximum value

If a > 0, then the vertex is a minimum value

a = 8

Minimum(7/8 , -25/8)

Answer:

irdk but papi u a rari

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

m1=60→C

A→ 20

180-(20+60)=180-80=100

m3=100

m2+m3=180

m2=180-100=80

m1+m2=60+80=140

Answer:

11 equal $187 plus 7 more hours to get $306

Step-by-step explanation:

18 hours

Answer:

18 hours

Step-by-step explanation:

187 divided by 11 = 17

306 divided  17 = 18 hours

Answer:

line one and 2

Step-by-step explanation:

the quetoin says it is x - 3 not 2x

Answer:

Your question is unclear

Step-by-step explanation:

Answer:

B. About 2% of the boys are eligible to be a small forward on the team

Step-by-step explanation:

Recall : 1 feets = 12 inches

Point guard = 6’2" – 6’6" tall = 74 - 78 inches

Mean = 70 ; Standard deviation = 4

Z = (x - mean) / standard

P(x < 74) = (74 - 70) / 4 = 1

P(x < 78) = (78 - 70) / 4 = 2

0.97725 - 0.84134 = 0.13591

Small forward : 6'6" = 78 inches

P(x ≥ 78) = (78 - 70) / 4 = 2

P(z ≥ 2) = 0.02275 = 2.275% about 2%

Centre : 6'8" = 80

P(x ≥ 80) = (80 - 70) / 4 = 2.5

P(z ≥ 2.5) = 0.0062097 = 0.62%

About 2% of the boys are eligible to be a small forward on the team. Then the correct option is B.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

A high school basketball coach is selecting his team.

The minimum and maximum height requirements are as follows:

Point Guard: Small Forward: Center:

6’2" – 6’6" tall at least 6’6" tall at least 6’8" tall

The heights of the Lincoln High School boys have a normal distribution with a mean height of 70 inches and a standard deviation of 4 inches.

The value of the z-score will be

[tex]z = \dfrac{x - \mu }{\sigma}[/tex]

[tex]P(x < 74) = \dfrac{74-70}{4} = 1 \\\\P(x < 78) = \dfrac{78-70}{4} = 2[/tex]

0.97725 - 0.84134 = 0.13591

Small forward: 6'6" = 78 inches

[tex]P(x \geq 78) = \dfrac{78- 70 }{4} 2\\\\\\P(z \geq 2) = 0.02275 = 2.275 \%[/tex]

Centre: 6'8" = 80 inches

[tex]P(x \geq 80) = \dfrac{80- 70 }{4} 2\\\\\\P(z \geq 2.5) = 0.0062097= 0.62 \%[/tex]

More about the z-score link is given below.

https://brainly.com/question/13299273

Explanation:

This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries.  The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.

Notes:

Answer:

quadrant 1.

Step-by-step explanation:

A:(9,3)

B:(7,5)

C:(5,2)

hope this helped. have a good day.

Answer:

8t-1=97(being vertically opposiyte angles)

8t=97-1

t=96/8

t=12

Step-by-step explanation:

Answer:

A = 81.68 cm²

Step-by-step explanation:

Answer:

81.71

Step-by-step explanation:

2pi×r²+2pi×r×h

2x1²pi + 2x1x12xpi

2pi+24pi

26pi

81.71

Answer:

Jane has 30 different outfits she can choose from.

Step-by-step explanation:

Jane has 3 pairs of pants, 5 shirts for each pair of pants, and 2 shoes for each shirt. So the total amount of different outfits she can wear is [tex]3 * 5*2[/tex] = 30 different outfits.

Answer:

kjhdzkjnkjnZKjnvjkvnzjknjfgnkzjnfkjnJKZnfdkjgnKJnzdkjfbmnfgkns

Step-by-step explanation:

fmdbjdbjdbndndfnmmndmnd

Answer:

A :)

Step-by-step explanation:

(6^2)^4

(12^3)^2

(36^2)^2

(3^2)^7

(9^3)^2

Answer:

∠EPH = 107°

Step-by-step explanation:

∠EPH is an angle formed by two intersecting chords.

arc FG and arc EH are the arcs ∠EPH intercepts.

The relationship between an angle formed by intersecting chords and their intercepted arcs is that the angle is equal to half the sum of its intercepted arcs.

Which means that ∠EPH = 1/2 ( arc FG + arc EH )

If arc FG = 120° and arc EH = 94°

Then ∠EPH = 1/2 ( 120 + 94 )

120 + 94 = 214

214 / 2 = 107

Hence, ∠EPH = 107°

Answer:

z/y

Step-by-step explanation:

Answer:2x+3y=5.25

          x+5y=5.25

Step-by-step explanation:

let x equal cokes and y equal hot dogs

Answer:

i think D

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

Answer:

Don't want any but here's your answer

Step-by-step explanation:

He spends $165 on 20 gallons

Answer:

20

Step-by-step explanation:

30 ÷1.5

each person eats 1.5 pounds