Let f(x)= - 4x - 1 and g(x)=x² - 5
Find (fog)(-2).

Answers

Answer 1

[tex]f(x) = -4x-1\\\\g(x) = x^2 -5 \\\\g(-2) = (-2)^2 -5 = 4 -5 =-1\\\\(f \circ g)(-2)\\\\=f(g(-2))\\\\=f(-1)\\\\=-4(-1) -1 = 4-1=3[/tex]


Related Questions

The vertex angle of an isosceles triangle is 127º. What is the measure of each base angle?

Answers

Answer:

Step-by-step explanation:

(180 - 127) / 2 = 26.5°

2/3 x 4/7 write the answer in the simplest form

Answers

Answer:

8/21

I don't think that it can be simplified further....

Answer:

⁸/₂₁

Step-by-step explanation:

²/₃ ·⁴/₇ = ⁸/₂₁

you just multiply the denominator with the denominator, and the numerator with the numerator.

WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOR THE LINE THAT PASSES THROUGH THE POINT (-2,6) AND A SLOPE OF -1/4

Answers

It's a line so its equation is in the form : y = mx + b where m is the slope/gradient and b the y-intercept.

Since the slope m here is -1/4, we can write :

y = (-1/4)x + b

And since that line passes through the point x=-2, y=6, we can find the y-intercept by solving this equation of unknown b :

b + (-1/4)*(-2) = 6

b = 6 - (-1/4)*(-2)

b = 6 - (2/4)

b = 6 - 1/2

b = (12-1)/2 = 11/2

Finally, the equation is y = (-1/4)x + 11/2

4. At an Internet store, a laptop computer costs $724.99. At a local store, the same computer costs $879.95. What is the difference in prices?

Answers

Answer:

$154.96

Step-by-step explanation:

difference means to subtract so 879.95-724.99=154.96

Help please write and solve the equation in the comments

Answers

Answer:

x=34

Step-by-step explanation:

2x-5=3(1/2x+4)

2x-5=3/2x+12

1/2x-5=12

1/2x=17

x=34

Answer:

x=34

Step-by-step explanation:

how many times as great as the mass of each emerald is the mass of each sapphire sapphire:0.315 emerald: 0.18

Answers

Good luck don’t know if this is gonna help or not

Allison is buying two birthday cards for $5.78. Sales tax on the two cards is $0.38. Including sales tax, what is the cost of each card?

1. $2.89
2. $3.27
3. $3.80
4. $3.08

Answers

Answer:

1.$2.89

Step-by-step explanation:

1/3 off $ 0.38 $ 0.25

2 for 1 at $ 5.78 $ 2.89

What is the first step needed to solve 3 over 4 multiplied by x minus 3 equals negative 18 ? (1 point) a Add 3 to both sides b Subtract 18 from both sides c Multiply both sides by 3 d Divide both sides by 4

Answers

Answer:

a

Step-by-step explanation:

3/4 x - 3 = -18

You should try to get all of one term on one side of the equation, and have the constant on the other side so the next step would be easy.

Here are the steps after you add 3:

3/4 x = -15

x = -5/4 (divide by 3/4 on both sides)

Answer is in the screenshot:

what topics of algebra are on the shsat

Answers

Answer:

Step-by-step explanation:

Proportions.

Volume.

Scale.

Geometry (angles)

Solve for variable.

Logic.

Consecutive integers.

Unit conversion.

and much more...

if u get this right u get branist

Answers

5(2)^2-2(7) = 6

6(7+2)/2 = 27

Therefor the correct answer is the < symbol.

I hope this helps! :)

Triangle Angle Theorems Instruction Active Proving the Sum of the Interior Angle Measures of a Triangle ls 180° Try Angles Lines Statements Reasons Given: y || 2 Prove: m25 + m 22+ m26 = 180° 25 26 21 23 m21 m26 m23 m 25 A M M Reasons Statements 1 3 2 LE 4 5 Lo 7 6 B с Assemble the proof by dragging tiles to the Statements and Reasons columos.​

Answers

Answer:

We would need to see the tiles and table. If you'd attach them I'd love to help

Step-by-step explanation:

The triangle is solved and the measure of internal angles = 180°

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the two parallel lines be y and z

where y ║ z

And , ∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem.

So , ∠1 = ∠5 and ∠3 = ∠6

And , the measure of ∠1 + ∠2 + ∠3 = 180° ( angles on straight line )

And , the measure of ∠5 + ∠2 + ∠6 = 180° ( angles on straight line )

where the measure of ∠1 = ∠5 ( alternate interior angles )

And , the measure of ∠3 = ∠6 ( alternate interior angles )

Hence , the triangle is solved

To learn more about triangles click :

https://brainly.com/question/16739377

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The complete question is attached below :

Triangle Angle Theorems Instruction Active Proving the Sum of the Interior Angle Measures of a Triangle ls 180° Try Angles Lines Statements Reasons Given: y || 2 Prove: m25 + m 22+ m26 = 180°

Question 21: In January, Michelle walked 15.73 miles. In February she walked 3.6 miles. In March,
she walked 8.01 miles. How many miles did she walk in all?

Answers

Answer:

27.34 miles

Step-by-step explanation:

Add all together:

15.73 + 3.6 + 8.01 = 27.34
☆Answer :

15.73miles + 3.6miles + 8.01miles = ...

= 19.33miles + 8.01miles

= 27.34miles

Solve for j.
19j–18j=12
j=

Answers

Answer:

12

Step-by-step explanation:

it should be 12 got it!

Hello, hope you are having a nice day.

Let's solve this equation for j. The first step is to combine like terms.

19j-18j=12

j=12

So j is 12. This is the answer.

Hope you find my answer helpful. Ask me if you have any questions.

~Just an emotional teenager who helps other people on Brainly

[tex]MagicalNature[/tex]

Good luck with your studies.

According to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. The Venn diagram displays the coffee preferences of the customers.​

Answers

Using Venn probabilities, it is found that there is a 0.08 = 8% probability that the customer only likes iced coffee.

In this problem, the events are:

Event H: Liking hot coffee.Event I: Liking iced coffee.

The probability of only liking iced coffee is:

[tex]P(I \cap H^c) = P(I) - P(I \cap H)[/tex]

30% like iced coffee, hence [tex]P(I) = 0.3[/tex].22% like both hot and iced coffee, hence [tex]P(I \cap H) = 0.22[/tex]

Then:

[tex]P(I \cap H^c) = P(I) - P(I \cap H) = 0.3 - 0.22 = 0.08[/tex]

0.08 = 8% probability that the customer only likes iced coffee.

A similar problem is given at https://brainly.com/question/24707032

Mrs. Sparks is a 9th-grade Algebra 1 teacher. She teaches three
Algebra 1 courses and all the classes recently took a chapter exam.
Below are the scores. 30 POINTS

Answers

The values of the central tendencies are as follows;

The mean of Class 1 is 78.83.

The median of Class 1 is  88

The mean of Class 2 is 79.42

The median of Class 2 is 85.50

The mean of Class 3 is 79.42

The median of Class 3 is 78

The standard deviation of Class 1 is 18.81

The standard deviation of Class 2 is 16.15

The standard deviation of Class 3 is 12.70.

How to find the mean and median?

Mean is the average of a set of numbers.

Mean = sum of numbers / total number

Mean of Class 1 = (45 + 50 + 55 + 68 + 77 + 86 + 90 + 90 + 90 + 95 + 100 + 100) / 12 = 78.83

Mean of Class 2 = (40 + 64 + 65 + 70 + 80 + 84 + 87 + 88 + 90 + 90 + 95 + 100) / 12 = 79.42

Mean of Class 3 = (55 + 65 + 70 + 75 + 75 + 76 + 80 + 80 + 88 + 90 + 99 + 100) / 12 = 79.42

Median is the number that is at the center of the dataset that is arranged in either ascending or descending order.

Median of Class 1 = (86 + 90) / 2 = 88

Median of Class 2 =  (84 + 87) / 2 = 85.50

Median of Class 3 = (76 + 80) / 2 = 78

Standard deviation is used to calculate the average variation of a dataset.

Standard deviation = √((x - μ)²/σ)

Where:

x = number in the dataset

u = mean

n = total numbers in the dataset.

Standard deviation of Class 1 = 18.81

Standard deviation of Class 2 = 16.15

Standard deviation of Class 3 = 12.70

Read more about Mean, Median and Mode at; https://brainly.com/question/14532771

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Complete question is;

Mrs. Sparks is a 9th grade Algebra 1 teacher. She teaches three

Algebra 1 courses and all the classes recently took a chapter exam.

Below are the scores.

Class 1

45

68

77

90

90

95

100

100

86

90

50

55

Class 2

64

65

70

40

100

87

84

88

90

90

95

80

Class 3

70

75

75

90

100

80

55

65

76

80

88

99

a. Find the mean, median, mode and range of Class 1.

b. Find the mean, median, mode and range of Class 2.

c. Find the mean, median, mode and range of Class 3.

d. Find the standard deviation of Class 1.

e. Find the standard deviation of Class 2.

f. Find the standard deviation of Class 3.

Answer:

Down below! Hope this helps! Mark me Brainly!

Step-by-step explanation:

A.

The mean 78.83.

The median  88

The mode 90

The range 55

B.

The mean 79.42

The median 85.50

The mode 90

The range 60

C.

The mean 79.42

The median 78

The mode 75 and 80

The range 45

D.18.81

E.16.15

G.The class that had the higher standard deviation is class 1.

H.The class that did better on the exam is class 3 because it has the higher mean and the lowest standard deviation.

Dimensional analysis

Answers

Answer:

On the LHS:

Frequency is measured in rad/s, or [tex]s^-^1[/tex];.

On the RHS: [tex]1/2\pi[/tex] is a-dimensional, forces are measured in newton, or [tex]kg\cdot m\cdot s^-^2[/tex]; masses are measured in kg, distances in m.

[tex][s^-1] = (\frac{[kg \cdot m\cdot s^-^2]}{ [kg \cdot m]}) ^\frac12 \\{[s^-^1]} = [s^-^1][/tex]

Solve
-46 + - 4
A. 50
B. 42
C. -42
D. -50

Answers

The correct alternative that, matches the correct value of this expression is the letter D. That is, the answer will be -50.

Step-by-step explanation:

To find the value of this expression, let's eliminate the parentheses and extract the numbers.

To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.

_ When the signs are the same: just add them up.

_ When the signs are different: just subtract.

Resolution:

[tex]\large \sf =-46 + (- 4)[/tex]

[tex]\large \sf =-46-4[/tex]

[tex]\boxed{\boxed{\large \sf -50 }}[/tex]

So, the numeric value of this numeric expression will be -50.

The walls and ceiling of a hotel room are to be painted. The ceiling is a 22-foot square, and the walls are 8 feet tall.

What is the surface area of the walls and ceiling to be painted? Ignore any doors or windows.

Answers

Answer:

Step-by-step explanation:

ceiling 22² = 484 ft²

walls 4(22)(8) = 704 ft²

Total  1188 ft²

Month. Revenue. Expenses
1. $740 $3,010
2. $995 $2,850
3. $1,200 $2,700
4. $1,500 $2,490
5.

Graph the information presented in the table. Use that graph to predict the week that revenue will equal expenses for this small company.
Note: Revenue and Expenses are drawn on the vertical axis and Month is on the horizontal axis.

Week 8
Week 6
Week 5
Week 7

Answers

Week 6 sorry if I’m wrong

7÷5=2. Prove It




Based on Critical Thinking and Reasoning. Not normal mathematics.

Answers

the answer is 1.4 not 2

whats the answer can someone answer please​

Answers

Answer:

21. 2x + 28

22. 18a - 17b

23. He flipped the numerator and denominator, 6.4 with 7.2 and he added the exponents instead of subtracting.

24. 8.8888888888889 × 10^{0}

Step-by-step explanation:

A refreshment stand makes 5 large servings of frozen yogurt from 8 pints. Graph the line and then write
its equation. Let the x-axis represent the number of pints and the y-axis represent the number of
servings. Use only fractional form, if necessary.

Answers

Answer:

x= (8/5)

Step-by-step explanation:

x= 8÷5

evaluate the equation/expression

x=1.6

then convert to a fraction x= BasePoly 1.6 → 16/10 →8/5

Answer:

Pls help me I think its 5/8

Step-by-step explanation:

please help me i will give u a thanks

Answers

The answer should be 128

Answer:

1024

Step-by-step explanation:

because its going by 4

The mean of the following numbers 78, 88, 89, 90, and 95 is 88.

Answers

Answer:

that's definitely true

Yes
Mean= sum of all the numbers/the total numbers

An eight-sided dice numbered from 1 to 8 is rolled 80 times to determine whether it is fair, a If the dice is fair, how many of each number would you expect to get?

Answers

Answer:

10 times for each number

Step-by-step explanation:

:)

Answer:

10

Step-by-step explanation:

if the dice is fair, the sides will land one time every 8, so if its rolled 80 time, and it was equal 10 would be your answer.

The two tables below show the amount of tip, y, included on a bill charging x dollars.

A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3.
A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15.

Which compares the slopes of the lines created by the tables?
The slope of the line for Restaurant B is One-fifth times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.

Answers

9514 1404 393

Answer:

  (b)  The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.

Step-by-step explanation:

The slope of the relation for Restaurant A is ...

  y/x = 1/10

The slope of the relation for Restaurant B is ...

  y/x = 5/25 = 1/5 = 2×1/10

The slope of the line for Restaurant B is 2 times as great as the slope of the line for Restaurant A.

At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a sport is 0.15. The probability that a student
is a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
0.25
0.15
0.05
0.33

Answers

Answer:

0.05

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

Got it right

Does anyone know how to solve this:
22 - 6x > 4

Answers

Answer:

x<3

Step-by-step explanation:

22-6x > 4

solve like a regular equation for x

subtract 22 on both sides

-6x>-18

divide -6

x>3

and since 6 is negative you switch the sign

so

x<3

-2(2v + 11) + 1 =-5(9v – 4) ​

Answers

Answer:

v=1

Step-by-step explanation:

-2(2v + 11) + 1 =-5(9v – 4) ​

Distribute the -2 and -5.

-4v-22+1=-45v+20

Calculate the sum.

-4v-21=-45v+20

Move the variable to the left-hand side and change the sign.

-4v-21+45v=20

Move the constant to the right-hand side and change the sign.

-4v+45v=20+21

Collect like terms.

41v=20+21

Add the numbers.

41v=41

Divide both sides by 41

v=1

Hope this helps :)

Answer:

v = -1/49

Step-by-step explanation:

distribute

-4v - 22 + 1 = 5(9v-4)

add the numbers -21 + 1 = -21

distribute the other parenthesis

-4v  - 21 = 45v -20

add 21 to both sides to get v by itself

-4v - 21 + 21 = 45v + 20 + 21

-4v = 45v + 1

substract 45 v on both side now

-4v - 45v = 45v + 1 - 45v

simplify

-49v = 1

divide -49 on both side

v = -1 / 49

Is the Ordered Pair (6, 8) a solution to the equation y=12x+4?

True, the Ordered Pair is a solution to the equation.

False, the Ordered Pair is NOT a solution to the equation.

Answers

Answer:

The answer would be B. You solve it by substituting the x and y values in the expression, and seeing if it makes a true statement.

Step-by-step explanation:

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