Given the function h of x equals 3 times the cube root of x minus 5 end root plus 6, what is the x-intercept of the function?

6
5
–3
–5

Answers

Answer 1

The x-intercept of the function [tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex] is -3

How to determine the x-intercept?

The function is given as:

[tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex]

The x-intercept is when h(x) =0.

So, we have:

[tex]3 * \sqrt[3]{x - 5} +6 = 0[/tex]

Subtract 6 from both sides

[tex]3 * \sqrt[3]{x - 5} = -6[/tex]

Divide both sides by 3

[tex]\sqrt[3]{x - 5} = -2[/tex]

Take the cube of both sides

x - 5 = -8

Add 5 to both sides

x = -3

Hence, the x-intercept of the function is -3

Read more about x-intercept at:

https://brainly.com/question/3951754

#SPJ1

Answer 2

Answer:

Step-by-step explanation:

^^


Related Questions

ANSWER PLS!!!!!!!!! with exact explanation. not just only the answer

Answers

Answer:

12,500,000

Step-by-step explanation:

2^5 = 2×2×2×2×2 = 32

5^8 = 5×5×5×5×5×5×5×5 = 390625

32×390625 = 12,500,000

Hope you understood and brainliest please

what is Simplify 6.920.

Answers

Answer:

6 23/25

Step-by-step explanation:

[tex]0.92\\\\\frac{0.92\cdot \:100}{100}\\\\=\frac{92}{100}\\\\= \frac{4\cdot \:23}{4\cdot \:25}\\\\=\frac{23}{25}\\\\= 6+\frac{23}{25}\\\\=6\frac{23}{25}[/tex]

Look at the photo and answer the question.
Please don’t just put the answer at the top of the text and don’t make it hard to find.

Answers

Answer:

second option

Step-by-step explanation:

5 newton pushing it to the right

while a mere 4 newton pushing it to the left

more force pushing towards right

The answer is B, or the second option with 5 newtons on the left and 4 newtons on the right.

This would be the answer because there are 5 newtons forcing the given object to the right while there are 4 newtons forcing the object to the left. Because 5 is greater than 4, the object would accelerate to the right in this model with 1 newton more of force than it would to the left.

the diameter of a cone is 15 meters, the height is 1.5 times the radius, what is the volume?​

Answers

Answer:

V ≈ 662.68

Step-by-step explanation:

15 div by 2 = 7.5 (Radius)

7.5 x 1.5 = 11.25 (height)

Pi x 7.5^2 x 11.25/3
= 662.68

Answer with an algebraic equation too!!
Four years from now the combined ages of a set of twins will be 50. How old are they now?

Answers

Answer:

The twins are 21 years old right now.

(x+4) + (x+4) = 50

Step-by-step explanation:

Let x = the current age of one of the twins.

They are twins, that means they are the same age. So the other twin is also x years old.

In four years, the age will be x+4.

Both of them together will be:

(x+4) + (x+4)

The question says that total (of their ages in 4 years) will be 50.

(x+4) + (x+4) = 50

Combine like terms.

2x + 8 = 50

Subtract 8.

2x = 42

Divide by 2.

x = 21

The twins are currently 21.

To check: in four years they will be 25; then the sum of their ages will be 50. Check! Hope this helps!

Select the correct answer.
A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?
+3(41)
7+2³
Step 1: =
=
+ 3(3) - 7 + 23
Step 2:
=
+3(3) - 7 + 8
Step 3: =
(3) - 7+8
Step 4: =
Step 5: = 31+8
Step 6: =
= 47
A.
Step 4
B.
Step 1
C.
Step 5
D. Step 3

Answers

The mistake made in the step 3 option(D) step 3 is correct and the simplification form of the expression is 29/2,

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

The question is incomplete.

The complete question is in the picture please refer to the picture.

We have given an arithmetic expression:

[tex]=\dfrac{9}{2}+3\left(4-1\right)-7+2^3[/tex]

Step 1:

[tex]=\dfrac{9}{2}+3(3)-7+2^3[/tex]

Step 2:

[tex]=\dfrac{9}{2}+3(3)-7+8[/tex]

Step 3 should be:

[tex]=\dfrac{9}{2}(3)-7+8[/tex]

The mistake made in the step 3

Thus, the mistake made in the step 3 option(D) step 3 is correct and the simplification form of the expression is 29/2,

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

f (10) = 10/2 = 5 . how to solve this problem​

Answers

Answer:

f(10) means to input x = 10 into the function.

From inspection of the given function:

[tex]\sf f(10)=\dfrac{10}{2}=5[/tex]

the "10" is the numerator of the fraction.

Therefore, swap the "10" for "x" to give the function in terms of x:

[tex]\sf f(x)=\dfrac{x}{2}[/tex]

For a function

f(x)=y

x is the input or domain

y is the output or range

Here

f(10)=10/2

So

x=10

y=10/2

Hence the function is

f(x)=x/2

A school has 600 pupils. 1/5are in the upper school, 1/4 in the middle school and the remainder in the lower school. How many pupils are in the lower school?

Answers

Answer: 330 pupils

Step-by-step explanation:

the number of pupils are in the lower school

= (1- 1/5 - ¼) × 600

= (20/20 - 4/20 - 5/20)×600

= (11/20) ×600

= 330 pupils

if there are ten marbles, 2 yellow, 3 pink, and 5 blue, what is the probability of drawling two yellow marbles if the first one is placed back in the bag before the second draw

Answers

Answer:

what comprise horn of africa

Change each value of the quadratic equation. How does it change the graph?

Answers

Answer:

ty for points bye bye ok bye

Can you include a picture in the comments so that I can give you a more accurate answer?

PLEASE HELP ILL MAKE YOU THE BRAINIEST
write the ratio for sin A

Answers

Sin(A) = opposite/ hypotenuse
Sin(A)= 8/17

Answer:

In a right triangle, the sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse.

Find p.
30°
O
60°
7 in

Answers

Answer:

p = 14 inches

Step-by-step explanation:

using either the sine or cosine ratios

using the sine ratio and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{p}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

p = 14

A survey asked 20 mobile phone dealers how many mobile phones were sold during the previous week. Their answers are displayed in the Box-and-Whisker Plot and the Stem-and-Leaf Plot shown. Which graph can be used to find the mode? What is the mode of the data set? A. Stem-and-Leaf Plot, Mode: 34 B. Stem-and-Leaf Plot, Mode: 42 C. Box-and-Whisker Plot, Mode: 43 D. Box-and-Whisker Plot, Mode: 38
ASAP 100 POINT AND BRAINLIST

Answers

The best type of chart for quickly deriving the mode of a sample data is called the Stem-and-Leaf Plot.

What is a Stem-and-Leap Plot?

In statistics, the Stem-and-Leaf Plot is an easy-to-make easy-to-read kind of graph that is derived from the table holding the sample data.

The Box-and-Whisker Plot on the other hand is best for visually depicting the five-number summary of any set of data, which are:

MinimumFirst QuartileMedian (Second Quartile) Third Quartile; andMaximum.

It is to be noted that referenced plots are not indicated hence, the general answer.

Learn more about Stem-and-Leaf Plot at:
https://brainly.com/question/8649311
#SPJ1

The best type of chart for quickly deriving the mode of a sample data is called the Stem-and-Leaf Plot.

What is a Stem-and-Leap Plot?

In statistics, the Stem-and-Leaf Plot is an easy-to-make easy-to-read kind of graph that is derived from the table holding the sample data.

The Box-and-Whisker Plot on the other hand is best for visually depicting the five-number summary of any set of data, which are:

Minimum

First Quartile

Median (Second Quartile)

Third Quartile; and

Maximum.

It is to be noted that referenced plots are not indicated hence, the general answer.

Learn more about Stem-and-Leaf Plot at:

brainly.com/question/8649311

#SPJ1

Karen pays $487.56 for a company luncheon. This included a 16% gratuity. Karen needs to report the cost of the lunch without the gratuity to receive a reimbursement from her manager. How much was the cost of the luncheon without the gratuity?

(Please show how to solve it)​

Answers

Answer: $409.55

Step-by-step explanation:

100% - 16% = 84%

84% of 487.56 = 409.5504.

Round to nearest hundredth.

$409.55

Which questions are statistical questions?
Which subjects do the students What is the number of students What is the height of each
in my class like?
student in my class?
in my class?
How many servings of fruit did
I eat each day this month?
What is my favorite color?
What is my mother's favorite
fruit?
What is my height?
What is the highest temperature
of each month this year?
How many students from each
school in this city love football?

Answers

Answer:

Which questions are statistical questions?

what is the number of students what is the height of each in my class?

how many servings of fruit did eat each day this month?

what is my height?

what is the highest temprature

of each month this year?

how many students from each school in this city love football?

Step-by-step explanation:

Need to include numerical values

hope this helps!

Can someone pls help me with this? I will mark someone who does it for me pls.

Answers

Answer:

si quroma mande' cromo jajaja

Step-by-step explanation:

A= 6 feet (2•3)

B= 9 feet (3•3)

C= 6 feet (3•2)

D= 9 feet (3•3)

E= 6 feet (3•2)

F= 6 feet (3•2)

Total= 42 square ft

Find the area of the shaded region round to the nearest tenth

Answers

Answer: 818.4

Step-by-step explanation:

Using the area of a sector formula, we get the area of the entire sector is [tex](\pi)(27.8^{2})\left(\frac{150}{360} \right)[/tex].

Using the formula [tex]A=\frac{1}{2} ab \sin C[/tex], we get the area of the triangle is [tex]\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ})[/tex].

So, the area of the shaded sector is [tex](\pi)(27.8^{2})\left(\frac{150}{360} \right)-\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}) \approx \boxed{818.4}[/tex]

A rope 24m long is dividend into three pieces in the ratio 2:1:5. the length of the shortest piece is

Answers

well, let's simply divide the total of 24 by (2 + 1 + 5) and then distribute accordingly to each ratio.

[tex]2 ~~ : ~~ 1 ~~: ~~ 5\implies 2\cdot \cfrac{24}{2+1+5}~~ : ~~ 1\cdot \cfrac{24}{2+1+5} ~~: ~~ 5\cdot \cfrac{24}{2+1+5} \\\\\\ 2 \cdot \cfrac{24}{8}~~ : ~~ 1 \cdot \cfrac{24}{8}~~: ~~ 5\cdot \cfrac{24}{8}\implies 2(3)~~ : ~~ 1(3) ~~: ~~ 5(3)\implies 6:\stackrel{\stackrel{shortest}{\downarrow }}{3}:15[/tex]

Solve 4|3x-1| + 3 > 11.

Answers

4|3x-1| + 3 > 11

4|3x-1| > 11-3

4|3x-1| > 8

|3x-1| > 2

3x-1>2 or 3x-1<-2

3x>2+1 3x<-2+1

3x>3 3x<-1

x>1 x<-1÷3

Solution: ]-♾️ , -1÷3 [ U ] 1,+♾️ [


Determine if the two triangles are congruent. If they are, state how you know
A) ASA
B) AAS
C SAS
D SSS

Answers

SSS. if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent

Please help me with this question!

Answers

Answer: See the screenshots below.

The steps are shown on the screenshots as well.

The trig ratios used were sine and tangent

sine = opposite/hypotenuse = opp/hyptangent = opposite/adjacent = opp/adj

Make sure your calculator is in degree mode.

If two sides of a triangle are 10 cm and 6 cm long, which of the
following cannot be the perimeter of this triangle?

Answers

Answer:

J

Step-by-step explanation:

To find perimeter we add. 10+6 is 16. The third side has to be much bigger than this. So, J is the answer and J is 19 which wouldnt make sense as the length of the third side.

If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )

Answers

Answers: sin(2∅) = 120/169,  cos(2∅) = 119/169, tan(2∅) = 120/119

What are trigonometric functions?

Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.

Analysis:

If cos∅ = adjacent/hypotenuse =  12/13,

Then, opposite of the right angled triangle = [tex]\sqrt{13^{2} - 12^{2} }[/tex] = 5

sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12

sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169

cos(2∅) = [tex]cos^{2}[/tex]∅ - [tex]sin^{2}[/tex]∅ = [tex](\frac{12}{13}) ^{2}[/tex] - [tex](\frac{5}{13} )^{2}[/tex] = 144/169 - 25/169 = 119/169

tan(2∅) = sin(2∅) / cos(2∅)  = 120/169 ÷ 119/169 = 120/119

Learn more about trigonometric functions: brainly.com/question/24349828

#SPJ1

PLS HELP!!! 80PTS PHOTO ATTACHED

Answers

The answer is no solution.

Which solids have a round base? Select two options.

cone
cone

cylinder
cylinder

pyramid
pyramid

sphere
sphere

cube

Answers

Cone and cylinder both have round bases

Flying against the wind, an airplane travels 4620 kilometers in 7 hours. Flying with the wind, the same plane travels 8640 kilometers in 8 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answers

The rate of the plane in still air is 870km/h and the rate of the wind 210km/h.

What is speed?

Speed has the dimensions of distance divided by time.

Let Speed of airplane be x km/h and Speed of Wind be y km/h

Speed direction of wind (x+y)

Speed in opposition of wind (x-y)

Now, using speed x time= distance

7( x-y)=4620

(x-y)=4620/7

=660------------------(1)

Similarly,

8(x+y)=8640

(x+y) =8640/8=1080-----------------------(2)

Adding (1) and (2)

2x=1740

x=870 km/h

Subtracting (1) from (2)

2y=420

=>y=210 km/h

So rate of airplane =870km/h

rate of wind=210km/h

Learn more about this concept here:

https://brainly.com/question/16970943

#SPJ1

Hey! Could someone help me with this question as quick as possible? Hope everyone is having a great day/night.

Answers

The y-intercept should be -3

The radius of a cylinder is $5/6$ its height. find the total surface area of the cylinder if its volume is $150\pi.$

Answers

Answer:

Total surface Area =1135.34 to 2.d.p

Step-by-step explanation:

Find the slope of the line passing through the points -2,7 and -6,3

Answers

Answer: the slope is 1

Step-by-step explanation:

m = y2 - y1 / x2 - x1

m = 7-3 / -2+6

m = 4/4

m=1

A regular polygon with n sides has n(n-3)/2 diagonals. Find the number of sides of a regular polygon that has 44 diagonals.

Answers

[tex]\dfrac{n(n-3)}{2}=44\\\\n(n-3)=88\\n^2-3n-88=0\\n^2+8n-11n-88=0\\n(n+8)-11(n+8)=0\\(n-11)(n+8)=0\\n=11 \vee n=-8[/tex]

Therefore, the number of sides is 11.

Other Questions
What are the gender roles of males vs females of farmers in ancient China? Why do you think informal language changes over time? check all of the boxes that apply. people can borrow or modify words from other languages for their own use. developments in science and technology create new words and expressions. different generations use informal language in different ways. popular culture, such as movies, music, and sports, creates new words and expressions. Select the correct text in the passage. What is the opportunity cost in this Scenario? Harry has been very busy at work for the past two weeks, He has been working Weekends too. Finaly, he is going to get a weekend originally. he planned to paint his apartment that weekend. He also considered going fishing for the weekend. But then his parents called and asked him to come for dinner because it has been a while since they have seen each other Later on. his friend Theo informed him abaut a surprise birthday party for another friend. Theo plans to reserve a room at a restaurant for the celebration, with the cost to reserve the room split between Theo, Harry, and three other friends. Now Harry is confused about what he should do over the weekend. He decides that. for him, the mast important commitments are going over to his parent's house and attending his friend's birthday party. In the end, Harry decides to see his parents. Which sentence uses end punctuation correctly?O Did Mr. Reynolds ask Danielle to run for class president.O Did Mr. Reynolds ask Danielle to run for class president,Did Mr. Reynolds ask Danielle to run for class president?Did Mr. Reynolds ask Danielle to run for class president! 15 Points, please help me dude I keep getting troll answers. The first term in an arithmetic sequence is -3. If the sequence has a common difference of 8, what is the 30th term in the sequence?Will give brainliest to right answer :)) Which equation matches the graph of the greatest integer function givenbelow? Which of the following statements about the stomach is true?OPepsins are the digestive enzymes that enable the stomach to breakdown proteins.OAmylase is the pasty substance that's created when stomach enzymesand food mix together.OThe stomach receives chyme from the esophagus, which it turns intobolus before passing it on to the small intestine.The stomach processes nutrients, absorbs water and removes anytoxins created during chemical digestion. please help me. need rn. worth 75 points.1. After everything we have read and watched on the Holocaust what have you noticed about the survivors mindset?2. What evidence do you have for your point? president roosevelt called to action upon reading upton sinclairs " the jungle" is best described as What do we need from producers in orderto sustain all living organisms on Earth?A. Producers need to harness solar energy.B. Producers need to release energy.C. Producers need to release carbon dioxide.D. Producers need to break down energy from food. What is the answer What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? m Y 1 77](V V] + V m+n -8 -5 0 6 You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New York. The airline has partitioned the flight so that you have a layover. The flight distance is partitioned in a ratio of 3:1. Determine the ordered pair that represents the location of the layover. find the mode 4,4,3,9,5 If you are talking about the Grand Canyon, which visual aid should you show? Select all that apply.a picture of a canyon in Mexicoa map of Arizona showing the Grand Canyona picture of the Grand Canyona chart showing how deep the Grand Canyon is The typical amount of capital needed to launch a startup, according to the Bureau of Labor Statistics, is$10,000 - $12,000 $100,000 - $500,000 $1000 - $5000 $25,000 - $200,000 2x-5x-6=0 What are the values for a,b,c of the equation in standard form? Pina Colada Company has the following balances in selected accounts on December 31, 2022.Accounts Receivable$ 0Accumulated DepreciationEquipment0Equipment9,240Interest Payable0Notes Payable13,200Prepaid Insurance2,772Salaries and Wages Payable0Supplies3,234Unearned Service Revenue39,600All the accounts have normal balances. The following information has been gathered at December 31, 2022.1. Pina Colada Company borrowed $13,200 by signing a 12%, 1-year note on September 1, 2022. Interest will be paid when the note is repaid.2. A count of supplies on December 31, 2022, indicates that supplies of $1,188 are on hand.3. Depreciation on the equipment for 2022 is $1,320.4. Pina Colada paid $2,772 for 12 months of insurance coverage on June 1, 2022.5. On December 1, 2022, Pina Colada collected $39,600 for consulting services to be performed evenly from December 1, 2022, through March 31, 2023.6. Pina Colada performed consulting services for a client in December 2022. The client will be billed $5,544.7. Pina Colada pays its employees total salaries of $11,880 every Monday for the preceding 5-day week (Monday through Friday). On Monday, December 29, employees were paid for the week ending December 26. All employees worked the last 3 days of 2022. If 50% of a number is 80 and 35% of the same number is 56, find 85% of thatnumber. Match each description with the correct note-taking method.