Answer:
Step-by-step explanation:
f(x) = 2x^4(x + 2) + 11x^2(x + 2) + 12(x + 2)
f(x) = (x+2) [2x^4 + 11x^2 + 12]
f(x) = (x + 2)(2x^2 + 3)(x^2 + 4)
Solve for b.
ab +c=d
Answer: B = [tex]\frac{-c}{a}[/tex] + [tex]\frac{d}{a}[/tex]
Step-by-step explanation:
you need to get B alone so that would be subtracting everything around it
ab = -c + d
then you need to get that a away from it by dividing both sides by A
B = [tex]\frac{-c}{a}[/tex] + [tex]\frac{d}{a}[/tex]
Review the steps in the derivation of the tangent sum identity. The steps are not in order.
A 2-column table with 4 rows. Column 1 has entries 1, 2, 3, 4. Column 2 has entries StartFraction sine (x + y) Over cosine (x + y) EndFraction, StartStartFraction StartFraction sine (x) cosine (y) Over cosine (x) cosine (y) EndFraction + StartFraction cosine (x) sine (y) Over cosine (x) cosine (y) EndFraction OverOver StartFraction cosine (x) cosine (y) Over cosine (x) cosine (y) EndFraction minus StartFraction sine (x) sine (y) Over cosine (x) cosine (y) EndFraction EndEndFraction, StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction, StartFraction sine (X) cosine (y) + cosine (x) sine (y) Over cosine (x) cosine (y) minus sine (x) sine (y) EndFraction.
Which list shows the steps in the correct order?
I --> II --> IV --> III
I --> IV --> II --> III
III --> I --> II --> IV
III --> I --> IV --> II
Answer:
The answer is B: I IV II III
Step-by-step explanation:
Just did it
The sequence for the derivation of tangent sum identity is option I --> IV --> II --> III.
What is trigonometric identity?The trigonometric identities is the relationship between the different trigonometric ratios. These trigonometric identities are the basic formulae that are true for all the values of the reference angle.
For the given situation,
The derivation for the tangent sum identity is given in the table below.
The derivation follows the steps,
[tex]\frac{sin(x+y)}{cos(x+y)}[/tex]
we know that, [tex]sin(x+y) = sinx cosy + cosx siny[/tex] ,
[tex]cos(x+y)=cosxcoxy - sinxsiny[/tex] and
[tex]\frac{sinx}{cosx}=tanx[/tex]
⇒ [tex]\frac{sinxcosy + cosxsiny}{cosxcosy-sinxsiny}[/tex]
Divide each term by [tex]cosxcosy[/tex]
⇒ [tex]\frac{\frac{sinxcosy}{cosxcosy} +\frac{cosxsiny }{cosxcosy} }{\frac{cosxcosy}{cosxcosy} -\frac{sinxsiny}{cosxcosy} }[/tex]
⇒ [tex]\frac{tanx+tany}{1-tanxtany}[/tex]
Hence we can conclude that the derivation of tangent sum identity is option I --> IV --> II --> III.
Learn more about trigonometric identity here
https://brainly.com/question/15858604
#SPJ2
Finn looked at 2 websites every 18 hours. At that rate, how long, in
hours, will it take to look at 4 websites? Plz help
Answer: 1 day, 12 hours (36 hours)
Given that Finn looked at 2 websites every 18 hours, let's solve the problem.
Multiply by 2, because he looks at 4 websites, and 2 x 2 = 4.
18 x 2 = 36.
The answer should be 36. Hope this helps you!
A lemonade recipe calls for the juice of 5 lemons, 2 cups of water, and 2 tablespoons of honey.
Invent four new versions of this lemonade recipe:
1) One that would make more lemonade but taste the same as the original recipe.
2) One that would make less lemonade but taste the same as the original recipe.
3) One that would have a stronger lemon taste than the original recipe.
4) One that would have a weaker lemon taste than the original recipe.
Pls, I'm struggling right now lol.
Answer:
1. 10 lemons, 4 cups of water and 4 tablespoons of honey
2. 2 1/2 lemons, 1 cup of water and 1 tablespoon of honey
3. 8 lemons, 2 cups of water and 2 tablespoons of honey
4. 2 lemons, 2 cups of water, 2 tablespoons of honey
Answer:
10 lemons, 4 cups of water, 4 tbspoons honey
2 1/2 lemons, 1 cup water, 1 tbspoon honey
7 lemons, 2 cups of water, 1 tbspoon honey
3 lemons, 2 1/2 cups of water, 2 tbspoons honey
Step-by-step explanation:
Can I have Brainliest??? Please!!!
Choose the best representation 8/11
please help me i really dont understand
Answer:
48
Step-by-step explanation:
Could someone help me to understand this please? It would mean a lot
Answer:
A: AD
B: 25x15=375
Step-by-step explanation:
A: AD is parallel because the lines are the same.
B: AB = 25mm
BC = 15mm
25x15 = 375mm
The image below is for reference to Question B.
On Monday morning Sergio Pappas had $14.78 in cash. During the week he earned $45.00 for cutting lawns and $35.75 for yard work, and he spent $25.23 on food and $22.12 on gas.
# Problem Solution
a. What were Sergio’s total earnings for the week?
b. What total amount did he have to spend during the week?
c. What was his balance at the end of the week?
Answer:
A- 95.53 $ B- 47.35 $ C- 48.18 $
Step-by-step explanation:
45.00+35.75=80.75 (The money Sergio Pappas earned by working.) 80.75+14.78=95.53 (Sergio Pappas money earned by working + initial money.)25.23+22.12=47.35 (Total money lost by Sergio Pappas.)95.53-47.35=48.18 (Total money left by Sergio Pappas over the weekend.)I tried to explain and help as best I could. I hope you understand. Good luck!
Answer:
A- 95.53 $ B- 47.35 $ C- 48.18 $
Step-by-step explanation:
Determine the constant of variation for the direct variation given.
R varies directly with S. When S is 16, R is 80.
1/5
5
16
Answer:
The constant of variation is k=5
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
[tex]y=k\cdot x[/tex]
Where k is the constant of proportionality.
We know R varies directly with S. Their relationship is:
[tex]R=k\cdot S[/tex]
We also have when S=16, R=80. Thus:
[tex]80=k\cdot 16[/tex]
Solving for k:
[tex]k=80/16=5[/tex]
The constant of variation is k=5
Is 1,815 a rational number?
Answer:
The square root of 1815 is a rational number if 1815 is a perfect square. It is an irrational number if it is not a perfect square. Since 1815 is not a perfect square, it is an irrational number.
Step-by-step explanation:
I comfirmed this, it’s most likely right! (;
I need help plz someone help me plz :(
- 71 = x/64
One step
Answer:
x=-4544
Step-by-step explanation:
- 71 = x/64
Multiply each side by 64
- 71 *64 = x/64 *64
x=-4544
Answer:
x=−4544
Step-by-step explanation:
If 247 players separated into 13 equal teams, how many players will be on each team?
2 2/3 as a improper fraction
Answer:
8/3
Step-by-step explanation:
Answer: 8/3
Step-by-step explanation: if you write 2 has a fraction with the denominator being 3 you will get 6/3 then you can add 6/3+2/3=8/3
decrease £240 by 10%
Answer:
216
Step-by-step explanation:
240 - 240(.10)
= 240 - 24
= 216
Alternative method:
240(.90) = 216
Samuel buys office supplies for his home business. The office supplies cost $175.79 before taxes. The sales tax rate is 8.25%. What is the amount of sales tax Samuel will pay?
Answer:
175.79* .0825 = 14.50 + 175.79 = 190.29 $190.25
Step-by-step explanation:
The amount of sales tax Samuel will pay is $14.50
Sales tax rateGiven the following information
cost of office supplies = $175.79 sales tax rate = 8.25%Get the amount of sales tax:
Amount of sales tax = 8.25% of $175.79
Amount of sales tax = 0.0825 * 175.79
Amount of sales tax = $14.50
Hence the amount of sales tax Samuel will pay is $14.50
Learn more on sales tax here: https://brainly.com/question/9437038
10. 2x =3 - 4y
Contains the point (-4,3)
Answer:
I don’t know what you’re trying to find but that equation does not contain the point.
Step-by-step explanation:
Please help!! I don’t know it
(Help!!)Select all the true statements.
Answer:
the first choice, the second choice, and the last choice
Step-by-step explanation:
5 and 6 because they are alternate angles
2 and 3 because they are corresponding angles
2 and 4 because they are corresponding angles
i need help with this please
Answer:
Yes because the y value is 0 thus the ordered pair is located on the x - axis
Step-by-step explanation:
PLEASE ANSWER AS SOON AS POSSIBLE
The cost of 4 peaches is $4.96. What is the constant of proportionality that relates the cost in dollars, y, to the number of peaches, x? Write the corresponding linear equation.
Express 30 ^1/3 in simplest radical form.
Answer:
10
Step-by-step explanation:
PLEASE ANSWER QUICK WILL MARK BRAINLIEST
Answer:
1) A = 80
2) A = 30
Step-by-step explanation:
1) x+50 + 80 + x + 70 = 180
2x+120 = 180
2x = 60
x=30
A = (30) + 50
A = 80
2) x+40 + x+90 + (180-110) = 180
x+40 + x+90 + 70 = 180
2x + 200 = 180
2x = -20
x = -10
A = (-10) + 40
A = 30
Marcos is baking a cake. He has a recipe for a large cake that calls for 6 cups of flour, 2 cups of sugar, and 1 cup of butter. Marcos only has ½ cup of sugar, so he's going to make a smaller cake. How much flour and butter should he use in his recipe?
Answer:
3/2 cups of flour
1/4 cups of butter
Step-by-step explanation:
Cups of flour = 6
Cups of sugar = 2
Cup of butter = 1
Marcos only has ½ cup of sugar, so he's going to make a smaller cake.
Cups of sugar for big cake = 2
Cups of sugar for small cake = 1/2
Ratio of cups of sugar for big cake to small cake is
= 2 : 1/2
= 2 ÷ 1/2
= 2 × 2/1
= 4
This means to make smaller cake, all recipes should be divided by 4
Flour for small cake = flour for big cake / 4
= 6 / 4
= 3/2 cups of flour
= 1.33
Butter for small cake = Butter for big cake / 4
= 1 / 4 cups of butter
= 0.25
what is the slope of the line?
Answer:
I am pretty sure it's -3/1, correct me if I am wrong!
Step-by-step explanation:
Answer:
-3/1
Step-by-step explanation
You see where the line meets the corners of the squares on the graph. The equation for slope is m=rise over run. You rise three squares, and go to the right one.
help meee please :))))
Answer:
90°
Step-by-step explanation:
I need helppp!!!!!!!!!
2x -3 >7 solve please
Answer:
4
x
2
−
28
x
+
49
Step-by-step explanation:
Its Not The Answer But Its Your Question Simplified
Answer:
I don't know if this is correct but it probably is but I got x=5
Step-by-step explanation:
you write the equation and put the line through the sign, and cross out the 3. Then you are going to add 3 to the seven which will then equal 2x > 10. Then you cross out the 2 and divide both side with the 2. and 10 divided by 2 is 5 so therefore x equals 5.
(15) The ratio of boys to girls at the school is 3:5. If there are 160 students at 1 point the school, how many of them are girls? (Do not include any words in your answer.) Your answer
Answer:
100
Step-by-step explanation:
160 * (5/8) = 100
What is 2 + 2, minus 4?
Answer:
0
Step-by-step explanation:
2 + 2 = 4 and then 4 - 4 = 0
Answer:
0
Step-by-step explanation:
2 + 2 - 4 =
4 - 4 =
0
Hope this helps.