f(x) = -x + 7
g(x) = x² - 4x + 4
Find: (gof)(x)

Answer:

0.1201<0.121<0.131<0.137<0.139<0.14<0.1401<0.141<0.147<0.149

Step-by-step explanation:

OK let's see the numbers:

0.131,0.141,0.121,0.139,0.1201,0.1401,0.14,0.147,0.149,0.137​

First off, we find the smallest number, We highlight the ones that have 1 for hundredth digit, looks like there's none!, try 2 for the hundredth digit:

0.131,0.141,0.121,0.139,0.1201,0.1401,0.14,0.147,0.149,0.137​

There's two! 0.1201 is smaller than 0.121, so 0.1201 one is smallest followed by 0.121.

What we already have:

0.1201<0.121

Then we find the decimals that have 3 for hundredth digit.

0.131,0.141,0.121,0.139,0.1201,0.1401,0.14,0.147,0.149,0.137​

There's three!

0.131 is smaller than 0.137 and both of them are smaller than 0.139.

What we already have:

0.1201<0.121<0.131<0.137<0.139

We now find the decimals that have 4 for hundredth digit.

0.131,0.141,0.121,0.139,0.1201,0.1401,0.14,0.147,0.149,0.137​

There's five!

We can see that 0.14 is smaller than 0.1401 is smaller than 0.141 is smaller than 0.147 is smaller than 0.149.

What we already have:

0.1201<0.121<0.131<0.137<0.139<0.14<0.1401<0.141<0.147<0.149

And this is the answer:

0.1201<0.121<0.131<0.137<0.139<0.14<0.1401<0.141<0.147<0.149

Have a nice day! :)

-Vana

The measure of the angle m∠4 which forms a straight line angle with the angles 60° and 61° along the line Q is equal to 59°

When a transversal line cuts a pair of parallel lines, several angles are formed which includes: Corresponding angles, vertical angles, alternate angles, complementary and supplementary angles.

m∠4 + 60° + 61° = 180° {supplementary angles}

m∠4 + 121° = 180°

m∠4 = 180° - 121° {subtract 121° from both sides}

m∠4 = 59°.

Therefore, the measure of the angle m∠4 which forms a straight line angle with the angles 60° and 61° along the line Q is equal to 59°

Read more about angles here:https://brainly.com/question/24607467

#SPJ1

Answer:

the answer is 5

Step-by-step explanation:

1. first you need to take -2 and use the distributive property on (x + 5). when you do that you should get -2x -10.

2. 2nd then your equation should look like 4x + 3x -2x -10 = -9.  so after you get this equation you then add 4x + 3x. you should get 7x and your equation should look like 7x -2x -10 = -9.

3. 3rd the next step is to take 7x and subtract it from -2x. when you get dont doing this you should get 5x and then your equation will look like 5x -10 = -9.

4. 4th now we need to get all the normal numbers to one side. so you will add a positive 10 to the negative 10. when you do that the numbers cancel out. you have to do this to both sides. so you will add a positive 10 to the negative 9 and you should get positive 1. when you complete this step your equation should look like 5x = 1.

5. 5th you take 5x and divide it by 1 and you should get 5. 5 is your answer.

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer:

90

Step-by-step explanation:

\(\huge\textbf{Hey there!}\)

\(\mathbf{2(43 - 1) + 6}\\\\\mathbf{= 2(\boxed{\bf 42}) + 6}\\\\\mathbf{= \boxed{\bf 84} + 6}\\\\\mathbf{= 90}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{90}}}\huge\checkmark\)

\(\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\)

Answer:

-3

Step-by-step explanation:

The length of a segment is

sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)

sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)

sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)

Combine like terms

sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)

Square each side

( a-3)^2 + (2a -4) ^2) = 4 *(10)

FOIL the left side

a^2 -6a +9   + 4a^2 -16a +16 = 40

Combine like terms

5a^2 -22a +25 = 40

Subtract 40 from each side

5a^2 -22a -15 =0

Factor

(a - 5) (5 a + 3) = 0

Using the zero product property

a-5 =0   5a +3 = 0

a = 5       5a = -3

a=5     a = -3/5

The product of the terms is

5 * -3/5 = -3

Answer:

19 skins

Step-by-step explanation:

Total surface area of the cone = πr(r+l)

r is the radius = 10ft/2 = 5ft

l is the slant height

l^2 = 12^2 + 5^2

l^2 = 144+25

l^2 = 169

l = 13ft

Get the surface area

TSA = 3.14(5)(5+13)

TSA = 15.7*18

TSA = 282.6 ft^2

If each skin covers 15 sq. feet

Number of skin needed = 282.6 /15

Number of skin needed = 18.84

Number of skin needed is approximately 19 skins

Answer:

Since it is multiplied by ten, its basically multiplying 8.88 by 1 and moving the decimal to the right once. Multiplying numbers by 10s, 100s etc. means you have to shift the decimal point to the right based on a number of zeros multiplied.

Step-by-step explanation:

Hope I helped u!!!

Answer:

288 donuts

Step-by-step explanation:

Answer:

288 donuts

Step-by-step explanation:

72 divided by 2 is 36 so that means you will make 36 donuts in 1 hour so now we have our unit rate which is 36. so then you multiply 36 by 8 and you get 288. that is your answer

The value of trigonometric ratio tan A = 2/ √5.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

Given:

We have opposite side to A = 2

and, adjacent side to A = √5

Using Trigonometry

tan A = opposite side / adjacent side

tan A = 2/ √5

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ1

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

Learn more on length : https://brainly.com/question/23008020

#SPJ1

Answer:

\(\sf 872\)

Step-by-step explanation:

Parentheses

\(9 + 3 = 12\)

\(=20^2\cdot \:2+6\cdot \:12\)

Exponents

\(20^2=400\)

\(=400\cdot \:2+6\cdot \:12\)

M/D(Multiply/Div.)

\(6\cdot \:12 = 72\)

\(=800+72\)

A/S(Add/Sub.)

\(800+72=872\)

\(\sf Thus,\\= 872\)

When the function f is transformed to g, the equation is g(x) = 2x + 14 - 1

The equation of function f is given as

f(x) = 2x - 1

The transformation is given as

Horizontal shift of 7 units left.

The above transformation rule can be represented as

Horizontal shift of 7 units left.: (x, y) = (x + 7, y)

When the above rule is applied, we have the following equation

g(x) = f(x + 7)

So, we have

g(x) = 2(x + 7) - 1

Open the brackets

g(x) = 2x + 14 - 1

Hence, the equation of function g is g(x) = 2x + 14 - 1

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Given

Answer

The possible real solutions are -3 and 4 as x+3 is zero at x=-3 and x-4 =0 at x=4 middle term can not be zero for any real value of x.

Answer:

36,000

Step-by-step explanation:

So all we have to do is divide 360 by 0.01. that equals 36,000

The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

To learn more about the function visit:

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

#SPJ1

Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.

To test the claim that the proportion of American adults who eat salad once a week is equal to 80%, we will conduct a hypothesis test.

Claim: p = 0.80

Opposite: p ≠ 0.80

The test is a two-tailed z-test.

Sample proportion (p) = 374/445 = 0.8404

Test statistic= (0.8404 - 0.80) / sqrt((0.80 * (1 - 0.80)) / 445)

z = 2.53 (rounded to 2 decimals)

Significance level (α) = 0.005, so the critical values for a two-tailed test are -2.576 and 2.576.

Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.

Conclusion: There does not appear to be enough evidence to reject the claim that the proportion of American adults who eat salad once a week is equal to 80%.

Read more about test statistic here:

https://brainly.com/question/15110538

#SPJ1

Answer:

Step-by-step explanation:

Required expression:

Options:

Answer:

Step-by-step explanation:

The statement "65% of 150 students" could represent the estimate that 100 students attended the school's play.

To see this, we can calculate 65% of 150:

0.65 x 150 = 97.5

Since 97.5 is close to 100, it is possible that the estimate was based on 65% of 150 students.

The other statements do not come close to 100, so they are not likely to represent the estimate that 100 students attended the school's play.

The solution of the inequality 42 > g + 27 is 25 > g  and the graph of the inequality has been plotted on a number line

The given inequality is

42 > g + 27

The inequality is the mathematical statement that shows the relationship between two expression with and inequality sign. The inequality maybe less than, less than or equal, greater than, greater than or equal etc. The equal sign will not be a part of inequality

Th given inequality is

42 > g + 27

Subtract both side of the inequality by 27

42 - 27 > g + 27 - 27

25 > g

Plot the inequality in number line

Therefore, the solution is 25 > g and the inequality has been plotted on the number line

Learn more about inequality here

brainly.com/question/20383699

#SPJ4

The symbolic quantified statement is given as:

For all real integers x and y, if x³ = y³, then x = y.

Using quantifiers, this can be written as:

∀x,y∈ℝ, (x³ = y³) → (x = y)

The symbolic quantified statement represents the original sentence using logical symbols and quantifiers.

The universal quantifier (∀) is used to denote "for all," while the implication arrow (→) represents "if... then." The statement asserts that if the cubes of any two real integers x and y are equal, then x and y are equal as well.

Learn more about statements at:

https://brainly.com/question/15562596?

#SPJ1

The output value of (g/f)(x) is 9x/(7x + 28).

The domain of g/f is (-∞, -4) U (-4, ∞)..

In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;

(g/f)(x) = (9/(x + 4)) ÷ 7/x

By rearranging the mathematical expression using the multiplication operation, we have the following:

(g/f)(x) = (9/(x + 4)) × x/7

(g/f)(x) = 9x/(7x + 28)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

7x + 28 ≠ 0

7x ≠ -28

x ≠ -4

Domain = (-∞, -4) U (-4, ∞).

Read more on domain here: brainly.com/question/17440903

#SPJ1

Answer:

Two angles are said to be supplementary when they add up to 180°.

Answer:

Angles are supplementary if the add up to 180 degrees

Step-by-step explanation:

So many different angles can be supplementary.

Examples:

Ajacent Angles

Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

And a few other angles

Hope This Helps :)

Answer:4

Step-by-step explanation: 9y-8y+2, when y=2

9(2)-8(2)+2=

18-16+2

=4

In the context of this problem all the solutions to the polynomial equation is correct because they all make sense.

The given polynomial equation  can be expressed as ;

x³ + 6x² - 40x = 192 and the given solutions can be written as ; x = -8, x = -4, and x = 6

We can test if the solution is the best for the given euation because this will help us to know if these valueas are the solution for the equation

x = -8

[(-8)³ + 6(-8)² - 40(-8)]

= 192

[-512 + 384 + 320]

= 192

x = -4,

[(-4)³ + 6(-4)² - 40(-4)]

[-64 + 96 + 160 ]

= 192

x = 6

[(6)³ + 6(6)² - 40(6) ]

216 + 216 - 240

= 192

Learn more about polynomial equation at:

https://brainly.com/question/19837586

#SPJ1

Answer:

Step-by-step explanation:

A,B

x = –8

x = –4

9514 1404 393

Answer:

  C.  96 ft³

Step-by-step explanation:

The area of the triangular base is ...

  A = 1/2bh

  A = 1/2(6 ft)(8 ft) = 24 ft²

Then the volume is ...

  V = 1/3Bh . . . . . where B is the base area and h is the height

  V = 1/3(24 ft²)(12 ft) = 96 ft³ . . . . volume of pyramid

Answer:

-8$

Step-by-step explanation:

first, add 100 to 1,294

then multiply 350.50 by 4

and subtract them

Step-by-step explanation:

To convert millimeters to centimeters we divide

As, 10 millimeters = 1 centimeter

So 1 centimeter = 1/10 millimeter

So here of we have 6 millimeters, so centimeters = 6/10 = 0.6cm

So the diameter of each bead in the necklace = 0.6cm

The diameter of bead in a necklaces is 0.6 centimeters.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Given that, April is making necklaces using beads that are 6 millimeters in diameter.

We know that, both millimeters and centimeters is the unit to measure the length. One millimeter is equal to 0.1 centimeters and 1 cm is equal to 10 mm.

Here, 6 millimeters

= 6×0.1

= 0.6 centimeters

Therefore, the diameter of a bead is 0.6 centimeters.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

#SPJ2

Answer:

0.167

Step-by-step explanation:

2 six sided dice= 12 total favorable outcomes

4&6= the 2 favorable outcomes

probability= fo/tfo

=2/12= 0.166666666 or 0.167

To graph the inequality k > 5 on a number line, mark an open circle at 5 and shade the region to the right.

To graph the solutions to the inequality k > 5 on a number line, follow these steps:

Draw a horizontal line and mark a point for the number 5 on the line.

-------------------|---|---|---|---|---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Since the inequality is k > 5, the solution includes all values greater than 5. Therefore, draw an open circle (○) at the number 5 to represent that 5 itself is not included in the solution.

-------------------|---|---|---|---○---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Shade the region to the right of the open circle. This shading represents all values that are greater than 5 and satisfy the inequality k > 5.

-------------------|---|---|---|---○===================>

0 1 2 3 4 5 6 7 8 9 10

The resulting number line graph illustrates that any value to the right of the open circle (excluding 5 itself) satisfies the inequality k > 5.

for such more question on inequality

https://brainly.com/question/17448505

#SPJ8

The ages of Alan, Nate and Kai is 26, 24 and 13 years respectively

63 = x + (x - 2) + 1/2x

63 = x + x - 2 + 1/2x

63 = 2 1/2x - 2

63 + 2 = 2 1/2x

65 = 5/2x

x = 65 ÷ 5/2

x = 65 × 2/5

= 130/5

x = 26

Recall,

Alan's age = x years

= 26 years

Nate's age = (x - 2) years

= (26 - 2)

= 24 years

Kai's age = 1/2x

= 1/2(26)

= 13 years

Therefore, the ages of Alan, Nate and Kai is 26, 24 and 13 years respectively

Learn more about Algebra:

https://brainly.com/question/4344214

#SPJ1