What are the domain and points of discontinuity of y= x-4/x^2+8x-20? What are the x and y intercepts?

Answers

Answer 1

Step-by-step explanation: To find the x-intercept, substitute in 0 for y and solve for x.

x-intercept(s): (2.30581496,0)

y-intercept(s): None


Related Questions

What are the roots of the graph below?

Answers

Answer:

-2,-1,1,2

Step-by-step explanation:

The term root is just another name for the x intercept so just look at where your line crosses the x axis and you will have your answer. Remember the y axis is not involved so it cannot be a co-ordinate.

Write the sentence as an equation: 78 multiplied by k is k

Answers

Answer:

78k = k

Step-by-step explanation:

 

78k=k I believe idk if that’s correct

Is 0 rational or irrational?

Answers

Answer:

0 is rational.

Step-by-step explanation:

It counts as an integer.

Answer:

Rational

Step-by-step explanation:

Even though it doesn't look like it, 0 can be written as [tex]\frac{0}{1}[/tex].

Rational numbers can be turned into fractions when both numbers involved are integers and the denominator is not equal to zero.

Zero is a rational number.

Which ordered pair represents the coordinates of point H

Answers

Answer:

is there a picture?

Step-by-step explanation:

Answer:

1-4 0-6

Step-by-step explanation:

Divide. Write the quotient in lowest terms. 4\dfrac{2}{3} \div 7 =4 3 2 ​ ÷7=4, start fraction, 2, divided by, 3, end fraction, divided by, 7, equals

Answers

Answer:

[tex]\dfrac{2}{3}[/tex]

Step-by-step explanation:

Given the quotient: [tex]4\dfrac{2}{3} \div 7[/tex]

Step 1: Write [tex]4\dfrac{2}{3}[/tex] in improper fraction.

[tex]4\dfrac{2}{3}=\dfrac{14}{3}[/tex]

Therefore:

[tex]4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7[/tex]

Step 2: Change the division sign to multiplication by taking the reciprocal of 7

[tex]\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

i did it in khan academy

Solve. 2(n - 1) + 4n = 2 ( 3n - 1 ) please help ASAP

Answers

Answer:

0

Step-by-step explanation:

2(n - 1) + 4n = 2 ( 3n - 1 )

2n - 2 + 4n = 6n - 2

6n - 2 = 6n - 2

6n - 6n = -2 + 2

0 = 0

Which of the following statements is true for inverse functions ƒ(x) and g(x)?

Question 1 options:

A) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x

B) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 0

C) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 1

D) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = ƒ(x)​

Answers

Answer:

A

Step-by-step explanation:

Given: functions f(x) and g(x)

To choose: the correct option

Solution:

A function is a relation in which each element of the domain has a unique image in the co-domain.

Composition of functions refers to the combining of two or more functions such that the output of one function becomes the input for the next function.

Two functions f(x) and g(x) are inverse functions if (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x.

Answer:

A) (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x

Step-by-step explanation:

Solve the equation in the interval from 510^\circ510 ∘ 510, degrees to 1050^\circ1050 ∘ 1050, degrees. Your answer should be in degrees. \sin(x)=0sin(x)=0

Answers

Answer:

540°, 720° and 900°

Step-by-step explanation:

Given equation sin(x) = 0 lying between the interval 510°≤x≤1050°. To find the value of x within this range, we first find the value of from the equation as shown;

sin(x) = 0

taking the arcsin of both sides;

[tex]sin^{-1}(sinx) = sin^{-1} 0\\x = 0^{0}[/tex]

Since x is positive in the first and second quadrant, in the second quadrant, the value of x will be 180°-0° = 180°

Subsequent value of x equivalent to 0° will be addition of 180° to each previous value gotten. The values of x within the range given are as shown

x1 =0°

x2 = 180°-0° = 180(2nd quadrant)

x3 = 180°+180° = 360°

x4 = 360°+180° = 540°

x5 = 540°+180°=720°

x6 = 720°+180° = 900°

x7 = 900°+180° = 1080°

We can see from the values above that the values of x that falls within the given range are 540°, 720° and 900°. This gives the required answers in degrees.

Andrew got hired at grub burger and earns $8.25 an hour. Which choice is correct for filling the amount of $ going down? Each line separated by a comma.

Answers

Answer:

The given table is

Hours.    Earnings per hour.

  0

  4

  8

 12

Now, the unit rate is $8.25 per hour, according to the proble, this is the constant ratio of change, that means, we only need to multiply the number of hours with the unit rate.

[tex]0 \times 8.25=0\\4 \times 8.25= 33\\8 \times 8.25=66\\12 \times 8.25 = 99[/tex]

Therefore, the complete table is

Hours.    Earnings per hour.

  0                     0

  4                      33

  8                     66

 12                      99

The rectangle below has an area of x^2-7x+10x square meters and a width of x-5x meters. What expression represents the length of the rectangle?

Answers

Answer:

The area of a rectangle is:

\sf A=lw

Plug in what we know:

\sf x^2-7x+10=l(x-5)

Factor the left side:

\sf (x-2)(x-5)=l(x-5)

Divide (x - 5) to both sides:

\sf l=\boxed{\sf x-2}

So the length is x - 2 meters.

Step-by-step explanation:

The surface area of a cone is 396π square inches. If the radius is 12 inches, find the slant height of the cone.

Answers

Answer:

Slant height = 33 inches

Step-by-step explanation:

r = 12 inches

Lateral Surface Area of cone = 396π square inches

πrl = 396π

π * 12 * l = 396π

[tex]l=\frac{396\pi }{12*\pi }\\[/tex]

l = 33 inches

what is the greatest common factor of 32 ab cubed and 40 a squared

Answers

Answer:

GCF 32 and 40

Step-by-step explanation:

GCF of 40 and 32 : 40 mod 32 = 8 , GCF of 32 and 8 : 32 mod 8 = 0

James delivered 3/8 of the newspaper his route in the first hour and 4/5 of the rest in the second hour. What fraction of the newspaper did James deliver in the second hour?

Answers

Answer:

1/2

Step-by-step explanation:

Remaining fraction will be (1-3/8)=5/8

Given that in the second hour he delivered 4/5 of 5/8, then the fraction delivered in the second hour will be:

4/5 of 5/8

=4/5×5/8

=1/2

He delivered 1/2 (in fraction)

Which ratio is equivalent to 7:3 =

Answers

Answer:

i think 14:6 is correct but im not too sure

Answer:

[tex]\frac{7}{3}=\frac{7n}{3n}[/tex]

n ∈ Z

[tex]\frac{7*(-5)}{3*(-5)}=\frac{7*(-2)}{3*(-2)}=...=\frac{7*8}{3*8}=...=\frac{7*1256}{3*1256}...etc[/tex]

Solve for the missing side

Answers

Answer:

c

Step-by-step explanation:

All rectangles have four right angles. Which quadrilateral is always a rectangle?
A) parallelogram
B) rhombus
C) square
D) trapezoid

Answers

Answer:

a

Step-by-step explanation:

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.

Answer:

A

Step-by-step explanation:

PLS HELP ME
M^2- 7m+1 ?

Answers

Answer:

Step-by-step explanation:

factorize the given equation like this

m^2-7m+1

m^2-2m+1-5m

(m-1)^2-([tex]\sqrt{5m}[/tex])^2

(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])

A square has a triangular hole in it. What is the area of the figure?
12 in
6 in.
4 in.
12 in
168 in 2
144 in 2
120 in 2
132 in 2

Answers

168 in 2 and then 132 in 2

Dale can type 32 words in 8 minutes.
What is his rate in words per minute?

Answers

4 words... 32 divided by 8 is 4

Answer:4 words per minute.

Step-by-step explanation:32 divided by 8 is 4.

please help! i do not understand

Answers

Answer:

90%

Step-by-step explanation:

Complimentary means the same. And adding them together would equal 90. Just as you would divide 90 by 3, each individual angle would be equal to 30.

correct answer is C). 90%

This net consists of a square and 4 identical triangles. What is the surface area of the solid this net can form?


144 square inches
184 square inches
224 square inches
264 square inches

Answers

Answer: C, 224 inches squared

Step-by-step explanation:

When formed into a solid, the triangles are folded upwards to make a pyramid. You can find the surface area by finding the areas of the individual shapes.

There are four triangles with a height of 10 inches and a base of 8 inches.

There is one square with a side length of 8 inches.

Triangle area formula : A = (b * h) / 2

Square area formula: A = s^2

(10 * 8) / 2 = 40

8 ^ 2 = 64

There are four triangles with area of 40 and one square with area of 64.

40 + 40 + 40 + 40 + 64 = 224 inches squared. The correct answer choice is C.

The surface area of the pyramid is 224 in².

What is surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given net will form a square pyramid, so we will find the surface area of the square pyramid.

Therefore,

The area of the pyramid = side² + 2 × side × height

= 8² + 2 × 8 × 10

= 64 + 160

= 224

Hence the surface area of the pyramid is 224 in².

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How many significant digits are there in the number 0.0001001? A. 4 B. 6 C. 8 D. 10

Answers

Answer:

A. 4

Step-by-step explanation:

leading zeros not included and the sig figs start from the first 1 so 4 sig figs

Answer:

4

Step-by-step explanation:

Mariya was asked to solve StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 and then graph the solution. Her work is shown below. Step Mariya’s work StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 Step 1 (Negative 13) StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 (negative 13) Step 2 a greater-than-or-equal-to 208 Step 3 A number line going from 205 to 211. An open circle is at 208. Everything to the right of the circle is shaded. In which step, if any, did Mariya make a mistake in her work? Step 1 Step 2 Step 3 No mistake found

Answers

Answer:

the answer is step 3 because the circle on the number line is open.

pls make mine as the  Brainliest answer that would really help

Mariya's mistake in solving the inequality and plotting the number line is in step 3

How to determine the mistake in the step?

The inequality is given as:

[tex]\frac{a}{-13} \le -16[/tex]

Multiply both sides of the inequality by -13

[tex]a \ge 208[/tex]

The above means that the solution to the inequality are numbers greater than or equal to 208.

This means that we make use of a closed circle

In step 3 of Mariya's solution, the number line uses an open circle

Hence, Mariya's mistake is in step 3

Read more about inequality at:

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Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersect

at point V. Find the values of x and y. If necessary, round to the nearest tenth.

AN

x = 11.6

y = 11.6

= 11.6

y= 23.2

x = 18.3

y = 36.6

Answers

Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

Applying this theorem in the diagram, we have:

[tex]TQ$ X TP=TR^2[/tex]

[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall earlier we got: x=11.6

2y=4 X 11.6

2y=46.4

Divide both sides by 2

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

PLEASE HELP!!!

What is the volume of a cone with a radius of 3 and a height of 19?
A. 1083 units 3
B. 39.79 units 3
C. 179.07 units3
D. 537.21 units 3

Answers

Answer:

C

Step-by-step explanation:

V=1/3(3.14)(r)^2(h)V=1/3(3.14)(3)^2(19)V=57×3.14v=179.07unit 3

The volume of a cone with a radius of 3 and a height of 19 is 179.07 cubic units.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the  volume of a cone with a radius of 3 and a height of 19.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

r=3 and h=19

We have to find the space in the cone with radius 3 and height 19.

The formula for volume of the cone is V=1/3πr²h

We have to plug in the r and h values in formula.

V=1/3×3.14×(3)²×19

=1/3×3.14×9×19

=536.94/3

=179.07 cubic units

Hence, the volume of a cone with a radius of 3 and a height of 19 is 179.07 cubic units.

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4400 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 22 years, to the nearest cent?

Answers

Answer:20000000

Step-by-step explanation:

A transcriptionist types 62 words per minute. Which statement is correct?

Answers

Answer:

C. The number of words, w, is the dependent variable

In the following equations, t represents time in hours and m represents mass in mg Which of them (if any) would have a mass less than 50 mg after 2 hours? Select all that apply a. y = 100(0.5)^x b.y = 500(0.3)^x C. y = 80(2)^x d y = 10(1.2)^x e. y = 30(1.5)^x f. y = 80(0.2)^x g. y = 100(2)^x

Answers

Answer: A and C

Step-by-step explanation: Its right

I need help with this asap please! Any help will be appreciated!

Problem:
Determine the value of n such that ∜(〖64〗^(1/3) )=〖64〗^(1/n).

(I'm not sure if it makes sense because I just copied and pasted it here from my word document)

Answers

Answer:

n=3

Step-by-step explanation:

64^(1/3)

Note that the exponent 1/3 given stands for the third root of the integer.

64^(1/3) =4

Check: 4 x 4 x 4 = 64

(By comparison of 64^(1/3) to 64^(1/n) means n= 3)

∜(64^(1/3)) =∜(4) = 1.41421356

The real number is

All the roots are:

1.41421356

1.41421356i

−1.41421356

−1.41421356i

4 is not a perfect 4th power.

What are recipicles

Answers

Answer:

the quantity obtained by dividing the number one by a given quantity.

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