Given the function h of x equals 2 times the cube root of x minus 10 end root plus 4, what is the x-intercept of the function?

–10
–4
2
8

Answers

Answer 1

Step-by-step explanation:

if I understand correctly, then we have

h(x) = 2 × cubic root(x - 10) + 4

the x-intercept is the x value where y or h(x) = 0.

0 = 2 × cubic root(x - 10) + 4

0 = cubic root(x - 10) + 2

-2 = cubic root(x - 10)

-8 = x - 10

x = 2

Answer 2

The intercept is the point where a line or curve crosses the axis. The x-intercept of the function is (2,0)

Intercept of a function

The intercept is the point where a line or curve crosses the axis. Given the function below:

h(x) = 2(∛x-10) + 4

For the x-intercept, it is the point where h(x) = 0.

Substitute

2(∛x-10) + 4 = 0

2(∛x-10)  = -4

(∛x-10)  = -2

Take the cube of both sides

x-10 = (-2)^3
x -10 = -8

x = -8 + 10

x = 2

Hence the x-intercept of the function is (2,0)

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Related Questions

The radius of a circle with area A is approximately √A/3. The area of a circular mouse pad is 51 square inches. Estimate its radius to the nearest integer.

Answers

Answer:

23 square meter from Nthabiseng Selina Tsolo

expand and simplify (x+3)(x+5)

Answers

Answer is ^2+8x+15 and this is how you do it

Answer:

(x+3)(x+5)

x( x + 5) +3 ( x + 5)

x² + 5x + 3x + 15

x² + 8x + 15

three of the angles of a quadrilateral are 100, 104 and 44. what is the size of the 4th angle?

Answers

Answer:

112

Step-by-step explanation:

Sum of interior angles in quadrilaterial = 360

360 - 100 - 104 - 44 = 112

Step-by-step explanation:

Let the 4th angle = x

Now,

x + 100 + 104 + 44 = 360° ( the sum of interior angle of quadrilateral is 360°)

x + 248 = 360°

x = 360° - 248

x = 112

Hence, the fourth angle is 112....

Toni typed 600 words in 1hour, 250 words in 20 minutes and 480 words in 40minutes. How many words did Toni typed in 2 hours?


a 1 113 words

b 3 113 words

c 1 330 words

d 1 130 words

Answers

1hour=600

2hour=600+600

=1200words

If the coefficient of determination is 0. 12 and ssy = 225, then what is the sum of squares regression for an analysis of regression?

Answers

The coefficient of determination is the ratio of the sum of squares regression and the ssy

The sum of squares regression is 27

How to determine the sum of squares?

The given parameters are:

Coefficient of determination, R^2 = 0.12

SSy = 225

The coefficient of determination is calculated as:

R^2 = SSR/SSY

So, we have:

0.12 = SSR/225

Make SSR the subject

SSR = 0.12 * 225

Evaluate the product

SSR = 27

Hece, the sum of squares regression is 27

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The sum of squares regression is 27

What is the coefficient of determination?

The coefficient of determination or R squared method is the proportion of the variance in the dependent variable that is predicted from the independent variable.

The coefficient of determination is calculated by using the following formula;

[tex]\rm R^2 = \dfrac{SSR}{SSY}\\\\ 0.12= \dfrac{SSR}{225}\\\\ SSR = 225 \times 0.12 \\\\ SSR = 27[/tex]

Hence, the sum of squares regression is 27.

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Based on data from two very large independent samples, two students tested a hypothesis about equality of population means using α = 0. 2. One student used a one-tail test and rejected the null hypothesis, but the other used a two-tail test and failed to reject the null. Which of these might have been their calculated value of t?

Answers

Based on the calculations, the most likely value of t is equal to 2.2.

Given the following data:

[tex]\alpha =0.2[/tex]

What is a null hypothesis?

A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.

For the one-tail test, we would reject the null hypothesis ([tex]H_0[/tex]) when the p-value is lesser than the value of [tex]\alpha[/tex];

[tex]H_o: P(Z > |\delta|) < 0.02[/tex]

For the two-tail test, we would fail to reject the null hypothesis ([tex]H_0[/tex]) when the p-value is greater than the value of [tex]\alpha[/tex];

[tex]H_o: 2P(Z > |z|) > 0.02\\\\H_o: P(Z > |z|) > 0.01[/tex]

Next, we would determine the positive value of z-score that satisfies this expression;

[tex]0.01 < P(Z < z) < 0.02\\\\[/tex]

From the z-table, we have:

[tex]P(Z > 2.326)\;and\; P(Z > 2.054)\\\\2.054 < z < 2.326[/tex]

Therefore, t = 2.2.

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What strategy would be the best to solve this problem?


To get into shape, Miles ran for 1 minute on Monday, 3 minutes on Tuesday, 6 minutes on Wednesday, and 10 minutes on Thursday. If he continues, how many minutes will Miles run on Sunday?

A. guess, check and revise

B. work backwards

C. use a formula

D. look for patterns

Answers

Answer:

D. look for patterns

Step-by-step explanation:

Number the weekdays, and relevant time, then look for the pattern

Monday = 1, time = 1 minTuesday = 2, time = 3 minWednesday = 3, time  = 6 minThursday = 4, time = 10 minFriday = 5, time = xSaturday = 6, time = ySunday = 7, time = z

We get the series:

1, 3, 6, 10, x, y, z

If you notice, the difference between the terms is:

2, 3, 4, ...

It indicates the following terms are:

x = 10 + 5 = 15y = 15 + 6 = 21z = 21 + 7 = 28

Since z represents the seventh term, the running time on Sunday is 28 minutes.

As we see looking for patterns helped to solve the question.

Correct choice is D

Answer:

D

Step-by-step explanation:

Because its D

Which algebraic expressions are binomials? Check all that apply.

xyStartRoot 8 EndRoot

x2y – 3x

6y2 – y

y2 + StartRoot y EndRoot

4xy – two-fifths

x2 + StartFraction 3 Over x EndFraction

Answers

The algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5

What are polynomials?

Polynomials are algebraic expressions having only addition, subtraction, multiplication and exponentiation (non-negative) of variables involved in it.

What are terms in polynomials?

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example:

[tex]x^3 + 3x +5[/tex]

is a polynomial consisting 3 terms as

[tex]x^3[/tex], 3x and 5

If there is one term, the polynomial will be called monomial.If there are two terms, the polynomial will be called binomialIf there are three terms, the polynomial will be called trinomial

Checking all the options:

Option 1: [tex]xy\sqrt{8}[/tex]

It has only one term, so its not a binomial.

Option 2: [tex]x^2y - 3x[/tex]

It has two terms, and there is only integer powers of variables and variables are in multiplication in forming terms, so its a polynomial.  And because of two terms and being polynomial, it is binomial.

Option 3: [tex]y^2 + \sqrt{y}[/tex]

Because of square root over variable 'y', the variable 'y' got non-integer power 1/2 as square root is also written as exponentiation by 1/2.

Thus, its not a polynomial.

Option 4: [tex]4xy - 2/5\\[/tex]

Its a polynomial as there are constants only and variables with multiplication. And because of two terms and being polynomial, it is binomial.

Option 5: [tex]x^2 + \dfrac{3}{x}[/tex]

we can write the second term as:

[tex]\dfrac{3}{x} = 3x^{-1}[/tex]

Thus, the variable x has negative power. Thus, its not a polynomial. Or simply, since the variable is in division in simplified form, therefore, its not a polynomial.

Thus, the algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5

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How many 1/ 4 cup servings are in a package of cheese that contains 6 and 1/2 cups altogether?

Answers

in essence, how many times does 1/4 go into 6 and 1/2?

[tex]\stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{2}\div \cfrac{1}{4}\implies \cfrac{13}{2}\cdot \cfrac{4}{1}\implies \cfrac{13}{1}\cdot \implies \cfrac{4}{2}\cdot 13\cdot 2\implies 26[/tex]

In Art Museum has 1042 pictures to split equally into 35 different exhibits. How many more pictures does the museum need to make sure each Exhibit
Has the same amount

Answers

Answer:

8 more pieces

Step-by-step explanation:

First, divide 1042 by 35 to get 29 and 27/35. Since each exhibit needs 35 pieces, and since 35- 27 is 8, the museum needs 8 more pieces.

Hopefully this helps- let me know if you have any questions!

A straw is placed inside a rectangular box that is 3 inches by 6 inches by 8 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.

Answers

The straw is placed diagonally in the rectangular prism, therefore, the length of the straw is √109 inches

How to find the diagonal of a rectangular prism?

Diagonal of a rectangular prism = √(l² + w² + h²)

Where,

l = lengthw = widthh = height

Therefore,

l = 6 inches

w = 3 inches

h = 8 inches

diagonal = √(6² + 3² + 8²)

diagonal = √36 + 9 + 64

diagonal = √109 inches

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Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Find t, the amount of time he plays video games, for each of the 3 days.

Answers

Answer:

t < 1.5

Step-by-step explanation:

Mon-Thu: 5.5 hours

each of the remaining 3 days: t hours each day

total time: 3t + 5.5

The total time must be less than 10 hours.

3t + 5.5 < 10

3t < 4.5

t < 1.5

Benito made a small pitcher of fruit punch. He mixed together lemonade and cherry juice. Use the picture to find the amount of juice Benito made. A 9 liters В 100 milliliters C 900 milliliters D2 liters 900 milliliters​

Answers

The amount of juice by Benito is an illustration of volumes

The amount of juice made is 900 milliliters

How to determine the amount of juice made?

The question is incomplete, as the figure and the dimensions are not given.

So, I will give a general solution

Assume the following parameters

Shape of the punch = CylinderRadius = 4Height = 18

The amount of juice would be:

V = πr^2h

This gives

V = 3.14 * 4^2 * 18

Evaluate

V = 904.32

Approximate

V = 900

Hence, the amount of juice made is 900 milliliters

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please help i am confused.

Answers

The correct answer is the last one

This is because C and F do not join on the shape

Round 77.1110969489 to the nearest hundred-thousandth

Answers

77.11110 it’s the nearest hundred- thousandth

i dont understand this question im very bad at maths

Answers

the volume for a cuboid is length • width • height
so it’s 2400
Answer:

2400cm³

Step-by-step explanation:[tex]Volume=15\times 20\times 8[/tex]

             [tex]=300\times 8\\ =2400cm^3[/tex]

[tex](Analyze\ the\ information\ carefully)[/tex]

I hope this helps you

:)

At a height of 316 meters, the Bell Tower is the tallest building in Morgansville. Hank is creating a scale model of this building using

the scale 100 meters: 1 meter.

To the nearest tenth of a meter, what will be the height of the scale model?

Answers

Answer:

Scale: 100 meters per 1 meter

Actual: 316 per unknown meters(our scale)

So order our units:-

Scale          1                 x

_______   _______ =  _______, solve for x;

Meters      100           316

1/100 = x/316

*316      *316

3.16 = x, 3.16 rounded = 3.20 is the scale.

N is an integer and -2

Answers

Answer:

(2) n > 6 (3) -4, -3, -2, -1, 0, and 1.

Step-by-step explanation:

(2) to solve first we subtract 12n from both sides making it 3n > 18 then we divide 3...making it n>6 (remember if you're solving an inequality its not unlike solving an equation)

(3) For this let's separate it into -2<n+3 which solving gets us n > -5

Steps: we subtract 3 from both sides again which makes it -5 < n but usually the variable should go to the left of an equality so n> -5

The other part is n+3 is less than equal to 4. which equals n is less than equal to 1 (I think you get how to solve now :)

once we combine both of the inequalities you'll get -5<n less than equal to 1. Which means the possible values are -4, -3, -2, -1, 0, and 1.

(a). The solution is [tex]n > 6[/tex]

(b). The all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]

Inequality:

(a). The given inequality is;

                  [tex]15n > 12n+18[/tex]

Now we have to solve inequality,

                    [tex]15n > 12n+18\\\\15n-12n > 18\\\\3n > 18\\\\n > 18/3\\\\n > 6[/tex]

(b).  Inequality is [tex]-2 < n+3\leq 4[/tex]

  Now we have to solve inequality,

                    [tex]-2 < n+3\leq 4\\\\-2-3 < n\leq 4-3\\\\-5 < n\leq 1[/tex]

So that, the all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]

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Which student solved the equation 107 d = 1,733.4 correctly?
Gianna's work: 107 d = 1,733.4. 1,733.4 times 107 = 185,473.8.
Teddy's work: 107 d = 1,733.4. 1,733.4 minus 107 = 1,626.4.
Sid's work: 107 d = 1,733.4. 1,733.4 + 107 = 1,880.4.
Sammi's work: 107 d = 1,733.4. 1,733.4 divided by 107 = 16.2.

Answers

Answer:

Sammis work is correct

Step-by-step explanation:

when handling equations such as 107d= 1,733.4

you see that d is being multiplied to 107 to equal the total,

so to find the answer to d you would divide 107 by the total to get your value of d

Answer:the last one

Step-by-step explanation:

HELP!!!!!HELPPPPPPPPP!

Answers

Answer: answer C.

Step-by-step explanation: you have to add and divide

PLS HELP ILL MARK AS BRAINLIEST PLSS

Answers

Answer:

10%

Step-by-step explanation:

I think it's right lol but I could be wrong I forgot a lot of this stuff

but out of all the data it goes from 22-42 so 20 points in total

there is only 2 of the data points behind 24, so it is 2/20 or 10%

per
Write your answer as a fraction or as a whole or mixed num
1
6
km
13
1
km
1
13
6
km
13
6
1 18 km
13

Answers

Answer:

5 11/13km

Step-by-step explanation:

4 ( 1 6/13)

4× 19/13

= 5 11/13

AB - CD + 2D x A x (AC - BD

also i know it says im old but im in middle school

b=4 a=3 c=6 d=2

Answers

-120

12-12+4x3x(18-8)
12-12+4x3x10
12-12+120
12-132
=-120

Please help me with this please and thank you

Answers

Answer:

B

Step-by-step explanation:

the common ratio r of a geometric sequence is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{3}[/tex] = 4

Answer:

B   4

Step-by-step explanation:

Divide any number (other than the first one) in the sequence by the previous number.

12/3 = 4

48/12 = 4

Answer: B   4

Find the area of the figure. Use 3.14 for π.

Answers

Total Area:- Area of square + area of Semicircle

Total area :- (L×B)+ (½× πr²)

Total area:- (12×12)+(½×π6²)

Total area:- 144+(½× 113)

Total area:- 144+ 56.5

Total area :- 200.5


Find the product of 3 1/5 and 5/8.
Express your answer in simplest form.

Answers

answer:ok

there are 3 and one fith apples

he need 4

apples

he adds 5/8

apples to his basket

how many apples doess  he end up with

Step-by-step explanation:you add them together

six hundred kilograms of tea were packed in 500 g packets. how many packets of tea were there?​

Answers

Answer:

1200

Step-by-step explanation:

600 in grams = 600 x 1000

= 6 x 10^5

(6 x 10^5) / 500 = 1200.

Answer:

1200 packets

Step-by-step explanation:

1 kg = 1000 gram

600 kg = 1000 × 600 = 600,000

now,

packets of tea were ( 600000 ÷ 1000) = 1200 packets

Due on Monday.
Show step by step
[tex]7n^{2} -7[/tex]

Answers

7n2-7 = 7 (n -1)(n+1)

Answer: 7(n + 1)(n - 1)

Step-by-step explanation:

[tex]7n^2-7[/tex]

[tex]\mathrm{Rewrite\:}7\mathrm{\:as\:}7\cdot \:1[/tex]

[tex]=7n^2-7\cdot \:1[/tex]

[tex]$$ Factor out the common term 7[/tex]

[tex]=7\left(n^2-1\right)[/tex]

[tex]$$ Factor $n^2 - 1[/tex]

[tex]\mathrm{Rewrite\:}1\mathrm{\:as\:}1^2[/tex]

[tex]=n^2-1^2[/tex]

[tex]$$ Apply difference of two squares formula $ x^2 - y^2 = (x+y)(x-y)[/tex]

[tex]n^2-1^2=\left(n+1\right)\left(n-1\right)[/tex]

[tex]\therefore \bf{7\left(n+1\right)\left(n-1\right)}[/tex]

Solve each system by substitution. Show all work.

y = -3x
y= x-4

Answers

since  y = - 3x and y = x - 4

we have

- 3x = x - 4

4x = 4

x = 1

and then y = - 3 * 1 = - 3

(1 ; - 3)

Answer:

(1,-3)

Step-by-step explanation:

y = -3x

y= x-4

Substitute -3x for y in the second equation

-3x = x-4

Subtract x from each side

-3x-x = x-4-x

-4x = -4

Divide each side by -4

-4x/-4 = -4/-4

x=1

Now we can find y

y = x-4

y = 1-4

y= -3

(1,-3)

A cylinder has volume 120 cm3.What is the volume of a cone with the same radius and height? ? 40 cm 60 cm O 240 cm 360 cm 3​

Answers

The volume of a cone with the same radius and height as the cylinder is 40cm³.

What is the volume of the cone?

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

n = 22/7r = radius

Volume of a cone = 1/3(nr^2h)

The volume of a cone, is 1/3 that of a cylinder.

Volume of the cone = 1/3 x 120 = 40

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Answer:cool

Step-by-step explanation:

iono

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