Step-by-step explanation:
The composite function (f o g)(x)
= f(x² - 5)
= 4(x² - 5) + 1
= 4x² - 19.
4x² - 19
This is your correct answer friend
Please help me out!
Answer:
4/3
Step-by-step explanation:
What is 6 - 2 over 3 (x + 5) = 4x algebraically
Answer: x = 4/7
Explanation and steps is in the image below.
The solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.
What is the equation?The equation is defined as an algebraic statement that has a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question
6 - 2(x + 5)/3 = 4x
Apply the distributive property of multiplication,
6 - (2x + 10)/3 = 4x
(2x + 10)/3 + 4x = 6
2x/3 + 10/3 + 4x = 6
2x/3 + 4x = 6 - 10/3
Take the LCM in the above equation,
14x/3 = 8/3
14x = 8
x = 8 / 14
x = 4 /7
Thus, the solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.
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Finn read 43 pages of his book in an hour
and a half. How many minutes would it take
to read 135 pages?
135 /43 = 3.14
60 * 3.14 = 188.4 minutes
What is the check digit, d, for the credit card number shown below?
6424 9813 2720 008d
А. 1
B. 3
с. 5
D. 7
Answer:
A.1
Step-by-step explanation:
I did a check digit calculator and it said that this would be the check digit
The check digit is 1.
Step-by-step explanation:
The check digit on credit is calculated by the following step:
Mark each digit odd and even from the right side.Now multiply each digit at an even place with '2'.And if the number after multiplication is double-digit then add both the digit to obtain a single digit.Now add all the digits obtained in the previous step along with digits at odd places.To this sum obtained check by adding what digit it becomes next multiple of '10'.And that digit will be our check digit.Given:
The creditcard number: 6424 9813 2720 008d
To find :
Check digit,d
Solution:
6424 9813 2720 008d
Marking odd and even places from right side:
(e:even place,o:odd place)
e,o,e,o e,o,e,o e,o,e,o e,o,e,o
6 4 2 4 9 8 1 3 2 7 2 0 0 0 8 d
Multipling every even place digit with '2'.
12,4,18,2,4,4,0,16
If two digit number then add both digits to have single digit
12,4,18,2,4,4,0,16 → 1+2,4,1+8,2,4,4,0,1+6 → 3,4,9,2,4,4,0,7
Now adding all the digits obtained in prevoius step with digits at odd place:
(3+4+9+2+4+4+0+7)+(4+4+8+3+7+0+0)= 59
The next multiply of 10 can be obtained by adding 1 to '59' that is 60. So, the check digit will be'1'.
59+1 = 60
(60 is a multiple of the number '10'.)
The check digit is 1.
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If you need only 1 c of milk, what is your best choice at the grocery store---- a quart container, a pint container, or a 1/2 gal container?
Step-by-step explanation:
Since 1 gallon = 4 quarts ⇒ (1/2) gallons = 2 quarts
1 gallon = 8 pints ⇒ (1/2) gallons = 4 pints
1 gallon = 16 cups ⇒ (1/2) gallons = 8 cups
Therefore from the given relation with gallons we can describe the relation between the cups, quarts and pints.
(1/2) Gallon > quarts > pints > cups
If we need 1 cup of milk then a pint container will be the best choice at a grocery store.
Please help!!! Thank you!!!
Answer:
See below
Step-by-step explanation:
Statement | Reason
1. m∠A + m∠B + m∠C = 180° | 1. Angles in a triangle sum to 180°
2. 28° + x - 4° + 2x = 180° | 2. Substitution
3. x=(180° - 24°)/3= 156°/3°= 52° | 3. Algebra
What is the base area.
Answer:
Area of the base is 10.5 cm².
Step-by-step explanation:
Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases
Vertical height = 6 cm
Volume = 63 cm³
From the formula,
63 = Area of the triangular base × 6
Area of the base = [tex]\frac{63}{6}[/tex]
= 10.5 cm²
Therefore, area of the base is 10.5 cm².
Brand A: $5 for 80 pounds of sand Brand B: $14 for 175 pound bag Which is the better buy?
Answer:
Brand A is the better buy
Step-by-step explanation:
bag Which is the better buy?
Step one
Brand A: $5 for 80 pounds of sand
Let us find the unit cost
Unit cost =5/80
=$0.0625 per pound
Brand B: $14 for 175 pound
The unit cost is
=14/175
=$0.08 per pound
Factor the following 36k^2-1
answer
[tex] {36k}^{2} - 1[/tex]
using identity
[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
let a=6k and b=1
we get
[tex](6k + 1)(6k - 1)[/tex]
hope you are satisfied
Jack wanted to make note cards by cutting pieces of paper in half. Before starting he got two more pieces to use. When he was done he had 24 half-pieces of paper. With how many pieces did he start? A) 11 B) 9 C) 8 D) 10
Answer:
D) 10
Step-by-step explanation:
We are told in the question:
Jack wanted to make note cards by cutting pieces of paper in half. . When he was done he had 24 half-pieces of paper.
Step 1
Divide the number of half pieces by 2 to get the number of whole pieces that was cut
= 24 half pieces/2
= 12 full pieces
Step 2
With how many pieces did he start?
We are told in the question that: Before starting he got two more pieces to use
Hence: The number of pieces he started is calculated as:
12 pieces - 2 pieces
= 10 pieces
Hence, he started with 10 pieces
Bananas are 3/4 water. What percent of a banana is made up of water?
Answer:
75%
Step-by-step explanation:
3/4 in decimal form is 0.75
0.75 x 100% = 75%
Thus 75% of the banana is made up of water.
Complete the table below for the function y = -6x + 4.
Find the complete factored form of the
polynomial:
-9a666 - 12ab6
Enter the correct answer.
000G
DONE
Clear all
GE
Answer:
(0 - (9 • (a^666))) - (22•3ab^6)
(0 - 32a^666) - (22•3ab^6)
-12ab^6 - 9a^666 = -3a • (4b^6 + 3a^665)
Final result :
-3a • (4b^6 + 3a^665)
Step-by-step explanation:
A linear function contains the following points. What are the slope and yintercept of this function? O A. O B. O C. O D. 25 The slope is 4. The yintercept is (5, O). The slope is —4. The yintercept is (O, 5). 1 The slope is Tthe yintercept is (O, 5). 1 The slope is . The yintercept is (O, 5).
Answer:
D
Step-by-step explanation:
points (-4,4) and (0,5)
slope: (y2-y1)/(x2-x1)
(5-4)/(0+4) = 1/4
y intercept given: (0,5)
Help Pls Fast! (55 POINTS!)
Answer:
Close to 6 miles. Exact is between 5.7 and 6
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
PLZ HELP!
Ramon earns $1,820 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Step-by-step explanation:
2.6% b/c 1820×2.6/100
A package of 12 pencils costs £2.95.
A binder costs £3.48.
Penelope buys a package of pencils and a binder. She pays with a £10
note.
What is her change?
Answer:
£3.57
Step-by-step explanation:
£2.95 + £3.48 = £6.43
£10.00 - £6.43 = £3.57
helicopter is flying at an elevation of 450 feet. It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘. Find the distance between a point on the ground directly below the helicopter and the landing pad. Round your answer to the nearest whole number.
Answer:
138 feets
Step-by-step explanation:
Given that :
Angle of depression (α) = 16°
Elevation = height = 450 feets
Appling trigonometry :
From the picture attached :
Height / elevation = 450 feets (Adjacent)
Distance = d (opposite)
Tan α = opposite / Adjacent
Tan 17 = d / 450
450 tan17 = d
450 * 0.3057306 = d
d = 137.57880
Hence, distance between a point on the ground directly below the helicopter and the landing pad 138 feets
The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.
Given that,
The helicopter is flying at an elevation of 450 feet.
It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘.
We have to determine,
The distance between a point on the ground directly below the helicopter and the landing pad.
According to the question,
The angle of depression = 16°,
Elevation = height = 450 feet
And d is the distance,
The angle of depression is an important component used in trigonometric operations.
The angle of depression is formed when the observer stands on a ground higher than the object which he is trying to observe.
Therefore, The angle of depression is,
[tex]Tan16 = \dfrac{d}{450}\\\\0.28 = \dfrac{d}{450}\\\\d = 450 \times 0.28\\\\d = 129.03 \ feet[/tex]
Hence, The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.
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Jennifer claims that her bank account is growing at a greater rate of change than William’s bank account. Determine if Jennifer is correct and justify your reasoning.
Answer:
Jennifer is wrongStep-by-step explanation:
Jennifer's bank account is growing at a rate of change 10 as per the given function
William’s bank account is growing at a rate of change 14 as per the table
Jennifer is wrong because 10 < 14
Solve -17 =
7 / 3 for x.
What is the solution set of (x-2)(x-3) = 2?
O (1.4)
O (2, 3)
O [4,5)
Answer:
I think A but i'm not sure
Step-by-step explanation:
help needed! what is 2/3 of 2? (and if possible can you give an easy explanation?)
Answer:
2/3 of 2 is 1.33
Step-by-step explanation:
this because 2/3 times 2 is 1.33
Answer:
4/3
Step-by-step explanation:
2/3 of 2 is basically multiplying 2/3*2/1.
Therefore it's (2*2)/(3*1) which is 4/3.
Hi!!! People have been giving out points all day and i thought i would have a turn!! (30 points) I’ll give the crown to whoever is nicest in their answer!!! Happy holidays :)
Answer:
hi, hope you are good!, hope you have the greatst holidays ever!
Step-by-step explanation:
Answer:
aww thank you, u are too kind :) I appreciate that u are generous enough to give free points to people, I thank you for your generosity. Happy holidays and stay safe <333
Step-by-step explanation:
PLEASE HELP ME WITH THIS PROBLEM ASAP
Answer:
8
Step-by-step explanation:
32/4=8
Answer: 8 minutes
Step-by-step explanation: You can use a proportion to calculate.
[tex]\frac{32}{4} = \frac{x}{1}[/tex]
32 x 1 / 4 = 8
8 minutes = 1 mile
PLEASEEEEE HELPPPP!
Answer:
option 4
Step-by-step explanation:
put like terms on either side
9x + 2a = 3a - 4x
subtract both sides by 2a
9x = a - 4x
add both sides by 4x
13x = a
divide both sides by 13
x = a/13
please give thanks, hit that heart button :)
Answer:
4.) a/13
Step-by-step explanation:
9x + 2a = 3a - 4x
9x + 4x = 3a - 2a
13x = a
13x/13 = a/13
x = a/13
A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 6 gallons every 3 days. At this rate, how many days did it take for all 60 gallons of water to leak out of the barrel?
1. A small college requires its students to take at least one Mathematics course and at least one Science course. A survey of 140 of its students shows that:
60 completed their Mathematics requirement, 45 completed their Science requirement and 20 completed both Mathematics and Science requirements. Use a Venn diagram to find the number of students who had completed:
a. exactly one of the two requirements;
b. at least one of the requirements;
c. neither requirement.
Answer:
65
85
Step-by-step explanation:
Exactly one of the two requirement
Maths only = 45 - 20 = 25
Science only = 60 - 20 = 40
Exactly one = (25 + 40) = 65
B.) Atleast one :
(25 + 40 + 20) = 85
C) Neither :
140 - 85 = 55
Three items were bought at a car boot sale.
Item A
Mass = 42 grams
Volume = 2 cm
Item B
Mass = 87.5 grams
Volume 5 cm3
Item C
Mass = 147 grams
Volume = 7 cm3
=
The density of platinum is approximately 21 grams per cmº.
Which of the items cannot be platinum?
You must show your working.
Answer: Multiply the density with the volume. You get 2418.2 grams or 2.4182 kilograms
Step-by-step explanation:
Answer:
Item B
Step-by-step explanation:
A:
density = mas/volume = 42 g / 2 cm^3 = 21 g/cm^3
This may be platinum.
B.
density = mass/volume = 87.5 g / 5 cm^3 = 17.5 g/cm^3
This cannot be pure platinum.
C.
density = mass/volume = 147 g / 7 cm^3 = 21 g/cm^3
This may be platinum.
Answer: Item B
Solve the equation for x.
logs (3x + 5) = log5 (2x + 8)
x = 7/3
x = 3
O
x = 0
O
No solution
which expression is equivalent to
2(3g-4)-(8g+3)?
-2g-1
-2g-5
-2g-7
-2g-11
Answer:
-2g - 11
Step-by-step explanation:
Expand the brackets, multiply 2 over 3g and -4. One plus and one minus make a minus.
2(3g-4) - (8g+3) = 6g - 8 - 8g - 3
Evaluate like terms.
6g - 8 - 8g - 3 = -2g - 11