[tex]q(x) = {x}^{2} + 3x + 4 [/tex]
_________________________________
Step(1)
To find q(a) we just need to put a instead of x in q(x) function.
Let's do it...
[tex]q(a) = {a}^{2} + 3a + 4 [/tex]
Multiply sides by -2 :
[tex] - 2q(a) = - 2( {a}^{2} + 3a + 4) [/tex]
[tex] - 2q(a) = - 2 {a}^{2} - 6a - 8 [/tex]
_________________________________
Step (2)
To find q(a+1) we just need to put a+1 instead of x in q(x) function.
Let's do it...
[tex]q(a + 1) = ({a + 1})^{2} + 3(a + 1) + 4 \\ [/tex]
[tex]q(a + 1) = {a}^{2} + 2a + 1 + 3a + 3 + 4 \\ [/tex]
[tex]q(a + 1) = {a}^{2} + 5a + 8 [/tex]
_________________________________
Step (3)
[tex]q(a + 1) - 2q(a) = [/tex]
[tex] {a}^{2} + 5a + 8 - 2 {a}^{2} - 6a - 8 = \\ [/tex]
[tex] - {a}^{2} - a = - a(a + 1)[/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
The expression for q(a+1) - 2q(a) is -a² - a
Given the expression q(x) = x²+3x+4
First, we need to get the function q(a+1)
q(a+1) = (a+1)²+3(a+1)+4
Expand
q(a+1) = a² + 2a + 1 + 3a + 3 + 4
q(a+1) = a² + 5a + 8
For the function q(a)
q(a) = a²+3a+4
2q(a) = 2(a²+3a+4)
2q(a)= 2a² + 6a + 8
Taking the difference:
q(a+1) - 2q(a) = a² + 5a + 8 - ( 2a² + 6a + 8)
q(a+1) - 2q(a) = a² + 5a + 8 - 2a² - 6a - 8
q(a+1) - 2q(a) = -a² - a
Hence the expression for q(a+1) - 2q(a) is -a² - a
Learn more here: https://brainly.com/question/17581815
solve and check the equation 3(5-2x)=2(4x=3)
They got 9/14 as the solution set but I do not know how?
Thank you so much.
Answer:
3(5-2x) = 2(4x=3)
= 15-6x = 8x=6
= 15-6x = 8x-6
= 15-6 = 8x+6x
= 9 = 14x
therefore, x=9/14
Step-by-step explanation:
hope it helps you
If sin theta = -½ and theta lies in Quadrant IV , find the value of all the other five trigonometric functions.
Given that,
θ € 4th quadrant
3π/2 < θ < 2π
Andsin θ = - 1/2
We know,sin²θ + cos²θ = 1
[ -1/2] ² + cos²θ = 1
1/4 + cos²θ = 1
cos²θ = 1 - 1/4
cos²θ = 4 - 1 / 4
cos²θ = 3/4
cos²θ = + √3/2As,
θ € 4th quadrant = cos θ > 0
cosθ = √3/2
tan θ = sin θ / cos θtan θ = 1/2 ÷ √3/2
tan θ = - 1/√3
Now,cosec θ = 1/sin θ = -2
sec θ = 1/cos θ = 2√3
cot θ = 1/tan θ = - √3Find the value of x
please help :(
Answer:
x=7
Step-by-step explanation:
Since the angles are the same, the sides have to be the same length
x=7
Answer: x = 7
We see that the angles in the triangle are the same length. So, they have the same value as each other.
x = 7
Which of the following is the prime factorization of 42? Choose the correct answer.
Answer:
2x3x7
Step-by-step explanation:
Because that's what you have to multiply giving you 42
Answer:
7×2×3
Step-by-step explanation:
What measure of central tendency requires the data set to be listed in ascending or descending order?
Answer:
The median.
Step-by-step explanation:
You need to find the middle value of the data
Thirteen is about what percent of 20
The lunch special at Scott's Restaurant is a sandwich, a drink and a dessert. There are 3 sandwiches, 1 drink, and 2 desserts to choose from. How many lunch specials are possible?
Answer:
24 for being able to not have one, 6 for having one of each
Step-by-step explanation:
multiplication
with the option of none
4*2*3=24
without the option of none
3*1*2=6
In a right triangular prism, the area of the triangular base is 50 square feet. The height of the prism is 12 feet. What is the volume of the prism?
A.10yd
B.15yd
C.13yd
D.6yd
We know for all 3D shapes
Volume=Area of base×HeightNow
Area of base=50ft^2Height=12ftVolume:-
[tex]\\ \rm\rightarrowtail 50(12)[/tex]
[tex]\\ \rm\rightarrowtail 600ft^3[/tex]
1 yd=3 ft1yd^3=27ft^3[tex]\\ \rm\rightarrowtail Volume=600/27=22.2yd^3[/tex]
Somewhat wrong in the options
Answer:
600ft
Step-by-step explanation:
PLEASE HURRY 100 POINTS!
Marques made a mistake when solving this problem. On what line did he make the error?
A) Line 1
B) Line 2
C) Line 3
D) Line 4
E) Line 5
Answer:
B) Line 2
using the formula:
[tex]\sf c^2 = a^2 + b^2 -2abcos(C)[/tex]
[tex]\sf c^2 = 14^2 + 8^2 -2(14)(8)cos(80)[/tex]
[tex]\sf c^2 = 196 + 64 -244 *0.173[/tex]
[tex]\sf c^2 = 221.1[/tex]
[tex]\sf \sqrt{c} = \sqrt{221.1}[/tex]
[tex]\sf c = 14.87[/tex]
Use law of cosines
c²=a²+b²-2abcosCc²=14²+8²-2(14)(8)cos80c²=196+64-244(0.173)c²=221.1c=14.87Error at line 2
How many terms are there in the series 5 + 9 + 13 +.....+ 77 ?
Answer:
19 term
Step-by-step explanation:
you need to know the expression ... these three dots, first
not easy
(77-5)/4+1=19
Answer:
19 terms
Step-by-step explanation:
terms = 5,9,13,17,21,25,29,33,37,41,45,49,53,57,61,65,69,71,73,77
I hope it will be helpfulMille milliards tableau
Answer:
That means trillion table in French.
How to pronounce:
Me-lee-Mil-e-are-ta-blue
Someone plz help me out
A^2 when a=3/4?? Thank you
Step-by-step explanation:
Given:-[tex]a = \frac{3}{4} [/tex]
Therefore,
[tex] {a}^{2} = ( { \frac{3}{4} })^{2} \\ \: \: = \frac{ {3}^{2} }{ {4}^{2} } \\ = \frac{9}{16} [/tex]
Solution:
Given:
[tex]a = \dfrac{3}{4}[/tex]
Square both sides of the given equation:
[tex]a = \dfrac{3}{4}[/tex]
[tex]\rightarrow (a)^{2} = \text{\huge{[}}\dfrac{3}{4}\text{\huge{]}}^{2}[/tex]
Simplify the equation:
[tex]\rightarrow a^{2} = \text{\huge{[}}\dfrac{3}{4}\text{\huge{]}}\text{\huge{[}}\dfrac{3}{4}\text{\huge{]}}[/tex]
[tex]\rightarrow a^{2} = \text{\huge{[}}\dfrac{3^{2} }{4^{2} }\text{\huge{]}}[/tex]
[tex]\rightarrow \boxed{a^{2} =\dfrac{9 }{16 }}[/tex]
200% of d is 18. What is d?
Answer:
9
Step-by-step explanation:
Should be correct.
From 2:15 pm to 5:15 pm, a car traveled 90 miles. How many miles did the car travel per hour? *
7 - (- __ ) = 12
what is the missing number
Answer:
7 - - 5 = 12
Step-by-step explanation:
Answer:
7+5=12
Step-by-step explanation:
even numbers of negatives alwasy equal positive
Suppose 59% of the students in a university are baseball players. If a sample of 632 students is selected, what is the probability that the sample proportion of baseball players will be greater than 63%
Using the normal probability distribution and the central limit theorem, it is found that there is a 0.0207 = 2.07% probability that the sample proportion of baseball players will be greater than 63%.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem, we have that:
59% of the students in a university are baseball players, hence p = 0.59.A sample of 632 students is selected, hence n = 632.The mean and the standard error are given by:
[tex]\mu = p = 0.59[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.59(0.41)}{632}} = 0.0196[/tex]
The probability that the sample proportion of baseball players will be greater than 63% is one subtracted by the p-value of Z when X = 0.63, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.63 - 0.59}{0.0196}[/tex]
[tex]Z = 2.04[/tex]
[tex]Z = 2.04[/tex] has a p-value of 0.9793.
1 - 0.9793 = 0.0207.
0.0207 = 2.07% probability that the sample proportion of baseball players will be greater than 63%.
To learn more about the normal probability distribution and the central limit theorem, you can check https://brainly.com/question/24663213
what is the mean of the given data -7,-10,-6,-2,8,-2,12
Answer:
-1
Step-by-step explanation:
mean means the average. so, add together all the given data, which you will get -7, then divide by the amount of data given, which is 7, and you will get -1
What is the product in simplest form? −6/11x3/4
Answer:
In fraction: -9/22
In decimal: -0.409 with repeating over the 09
Step-by-step explanation:
Which Choice is equivalent to the product below when x is greater than or equal to zero
prince owe R24000 every month he pays R600 . determine after how many months will she owe R3000
Answer:
35
Step-by-step explanation:
If prince owes ₹3000, the debt will have been reduced by ₹24000-3000 = ₹21000. The amount of time it takes to reduce the debt by that amount is ...
₹21000/(₹600/mo) = 35 mo
After 35 months, prince will owe ₹3000.
Marsha sold 2 cameras in January, 4 in February, 7 in march, and 11 in April. If the number sold increases at the same rate, how many cameras will she sell in December?
Answer:
she should sell 79 cameras on Dec.
Bonita deposited $1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closing the account.
No money was deposited into or withdrawn from the account.
How many years was the money in the account?
Round your answer to the nearest whole year.
Enter your answer in the box.
Answer:
Your answer is 4 Years!
Answer: 4 Years
Step-by-step explanation: Just to confirm the other person it is 4 years!
√7÷3 ..simplify and denominator relalization
Answer:
1.5, or 1 R 5.
Step-by-step explanation:
The equation is...
[tex]\sqrt{(7 /3)}[/tex]
Find the value of 7 divided by 3. It is 2, remainder 3 because...
3 goes into 7, 2 times.
Now, square root the value of the division. In short words, find factors.
1/3 is a reduction of 2/3, that means it could be put as 2/3 if you substitute for this situation.
[tex]\frac{1}{3} \leq \frac{2}{3}[/tex]
[tex]\frac{1}{3}[/tex] is also looked at as 1.5
Therefore, your answer is 1.5
Show all work for full credit. Given: f (x) = -2x + 1, find f (1) x Clear h Undo
Answer:
I hope this helps
Step-by-step explanation:
five percent
Question
A sportswear manufacturer is introducing a new line of sneakers. To introduce the new line, the company must pay out a
fixed cost of $1.5 million for advertising and equipment, plus there is a cost of 40 cents per pair of sneakers manufactured.
It plans to sell the sneakers for $75 per pair.
Let x be the number of pairs of sneakers manufactured. If the firm only manages to sell 15,000 sneakers, what is the total
loss?
Answer:
$381,000 loss
Step-by-step explanation:
Profit is the difference between revenue and cost. Cost is the sum of fixed cost and variable cost. Revenue is the product of selling price and quantity sold.
__
If we assume the company only manufactures as many sneakers as it sells, then the profit can be found from ...
R(x) = 75x . . . . . revenue from selling x sneakers
C(x) = 1,500,000 +0.40x . . . . . . cost to manufacture x sneakers
P(x) = R(x) -C(x) . . . . . profit from making and selling x sneakers
P(x) = 75x -(1,500,000 +0.40x)
P(x) = 74.60x -1,500,000 . . . . . profit from x sneakers
P(15000) = 74.60·15,000 -1,500,000 = 1,119,000 -1,500,000
P(15000) = -381,000
The total loss from making and selling 15,000 sneakers is $381,000.
Determine if the two triangular pyramids are similar.
Match up the corresponding parts.
Answer:
no they are not similar
Step-by-step explanation:
8/12 does not reduce to the same amount that 6/8 and 12,16
Please help me on this question. What is the chicken saying in the last panel of the attached picture?
Answer:
12.6 kilograms
Step-by-step explanation:
I was going to go with 4. somethin until i noticed that in all of the pictures there are only 2 chickens so on the last picture instead of going down 2 you would go up two from the first picture.
Hope this helps. Btw it is just an educated guess.
Answer:
12.6 kgStep-by-step explanation:
Let the weight of each chicken be:
Big - b, medium - m, small - sIn the pictures we have:
b + m = 10.6 kgb + s = 8.5 kgm + s = 6.1 kgAdd all together:
2b + 2m + 2s = 10.6 + 8.5 + 6.12(b + m + s) = 25.2b + m + s = 25.2/2b + m + s = 12.6The chicken in the last panel says 12.6 kg
The answer is 12.6 kg
PLEASE HELP PLEASE I WILL GIVE BRIANLEST
But this time Area the other one was perimeter
Answer:
84cm²
Step-by-step explanation:
A = L x W
A = 12cm x 7cm
A = 84cm²
I hope this helps!
The Computer Club has a budget of $90 for a pizza party. The club can get large pizzas for $10 and cases of soda for $3.50. The club would like to buy at least 5 large pizzas and at least 3 cases of soda.
a. Write a system of linear equations that describes the given information. Use x for the number of large pizzas and y for the number of cases of soda the club will buy.
b. Graph the system you wrote in part (a).
c. Can the club buy 6 pizzas and 4 cases of soda? Explain.
d. Find the maximum number of cases of soda the club can buy if the club decides to buy 7 pizzas.
Answer: Doing the most I can answer
Step-by-step explanation:
yes they can buy 5 large pizzas and 3 cans of soda.
Yes they can buy 6 large pizzas and 4 cans of soda
If they buy 7 pizzas, they can get 5 cans of soda,