Answers
Answer:
18x² - 24x + 9
Step-by-step explanation:
To find f(g(x)), substitute x = g(x) into f(x) , that is
f3x - 2)
= 2(3x - 2)²+ 1 ← expand factor using FOIL
= 2(9x² - 12x + 4) + 1 ← distribute parenthesis by 2
= 18x² - 24x + 8 + 1
= 18x² - 24x + 9
Related Questions
part 2 of Question please help me
and thank you for your help
Answers
1 tick represents 8 units
GIVING BRAINLIEST please its due in 10 min and please show work
Samantha invests a total of $18,000 in two accounts. The first account earned an annual interest rate of 11% and the second account earned an annual interest of 7%. At the end of one year, the total amount of money gained was $1,680.00. How much was invested into each account?
$ was invested in the account that earned 11% and
$ was invested in the account that earned 7%.
Answers
Answer:
Step-by-step explanation:
X + Y = 28500 (Equation 1).
1.11X + .9Y = 29010 (Equation 2).
Suppose in order for a bill to pass in Congress, 50% of voters must be in favor of it. In a random sample of 150 voters, 62 said that they were in favor of a new bill. State the p-value assuming the alternative hypothesis is Ha ≠.50 (Round to the nearest hundredth.)
Answers
Using the z-distribution, it is found that the p-value is of 0.03.
At the null hypothesis, it is tested if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:
[tex]H_a: p \neq 0.5[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}[/tex]
[tex]z = -2.12[/tex]
The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.
To learn more about the use of the z-distribution for hypothesis tests, you can take a look at https://brainly.com/question/16313918
Jayden had $43 in his bank account. He wanted to buy a game at GameStop. The game cost $15. He made the purchase.
a) Write an expression to show his purchase activity.
b) How much did he have, after the purchase of the game?
Answers
Answer:
a) 43 - 15
b) 28
1/2(10p-7q) if p=9 and q=2
Answers
Answer:
38
Step-by-step explanation:
1/2(10p-7q)
1/2(10(9)-7(2))
1/2(90-14)
1/2(76)
76/2
38
-3x + 4y = -15 and 4x - y = -19
Answers
Answer:
x=-7, y=-9. (-7, -9).
Step-by-step explanation:
-3x+4y=-15
4x-y=-19
---------------
y=4x-(-19)
y=4x+19
-3x+4(4x+19)=-15
-3x+16x+76=-15
13x=-15-76
13x=-91
x=-91/13
x=-7
4(-7)-y=-19
-28-y=-19
y=-28-(-19)
y=-28+19
y=-9
Which correlation coefficient indicates the stronger linear relationship between random variables for a fixed sample size?
a
r = 0..8
b
r = 0.5
c
r = -0.2
d
r = -0.9
Answers
Answer:
D) r=-0.9
Step-by-step explanation:
Recall that when [tex]|r|[/tex] is closest to 1, the stronger the correlation between the variables. In this case, while [tex]|0.8|=0.8[/tex], [tex]|-0.9|=0.9[/tex] is actually larger and shows a stronger negative correlation between random variables. Therefore, D is correct.
HELP ASAP 10 POINTS
Which coordinates are the best estimate of the solution to the system of equations?
Hint: Which coordinate is closest to where the lines meet?
Question 4 options:
(6,0)
(0,5)
(1,4)
(1,5)
Answers
Answer:
(1,4)
Step-by-step explanation:
It was either (1,3) or (1,4) but there was no (1,3) so (1,4).
Hopes This Helps :)
school lunches cost 35.50 per week. About how much would 15.5 week of lunches cost?
Answers
Since you go to school for 5 days a week, the answer is going to be 550.25 for 15.5 weeks.
Hope that helped?
Answer:
15.5 weeks of school lunch would cost $550.25
Step-by-step explanation:
The unit rate is already given here, so all you need to do here is multiply the cost per week by the number of weeks. You can even think of it as canceling out the weeks:
[tex]\frac{cost}{week}\times week=cost[/tex]
[tex]35.50\times15.5=550.25[/tex]
15.5 weeks of school lunch would cost $550.25
You could also write this as a linear equation with a slope of 35.5 and a y-intercept of 0:
[tex]y=35.50x[/tex]
What is the equation of a line that is perpendicular to the line y = - 1/2 x + 1 and passes through the point (8, - 1)? A y = −1/2 x + 8 B y = 2x - 17 C y = −1/2 x − 2 D y = 2x - 1
Answers
First find the negative reciprocal of the gradient for y = -1/2 x + 1 to find the perpendicular line gradient.
-1/2 = 2
Gradient of perpendicular line = 2
Perpendicular line is y=2x + c
Substitute (8,-1) into the line to find the y-intercept (c).
-1 = 2(8) + c
-1 = 16 + c
c = -17
Therefore, the perpendicular line is y = 2x - 17.
compare the following number :-
▪︎ 3 × 10¹² and 4 × 10¹¹
I need a well explained solution,
pls not from any other websites
thx for answering~~
Answers
Answer:
[tex] {10}^{12} = 1000000000000[/tex]
Then ,[tex]3 \times {10}^{12} = 3000000000000[/tex]
And[tex] {10}^{11} = 100000000000[/tex]
Then ,[tex]4 \times {10}^{11} = 400000000000[/tex]
Step-by-step explanation:
• Hence , 3 x 10 to the power 12 is greater .The value of 3 × 10¹² is greater than 4 × 10¹¹
The standard scientific expression is given as A * 10^n
Given the scientific values 3 × 10¹² and 4 × 10¹¹, we need to compare the values.The value of their powers will determine which of the values is greater or less.For the notation 3 × 10¹², we can see that the power is 12 while for the notation 4 × 10¹¹, the power is 11. Since 12 is greater than 11, hence the value of 3 × 10¹² is greater than 4 × 10¹¹
Learn more on scientific values here: https://brainly.com/question/1522308
Find the m, b, and write the equation for the following graph:
Answers
Answer:
y=3
Step-by-step explanation:
m=0
b=3
angelo's mother put $50 on a lunch card he spends the same amount each day for lunch. what is the constant rate of change for this function. choose two ordered pairs and write a ratio that can be used to find the slope or constant rate of change.
Answers
Given that Angelo spends the same amount everyday from the amount in
the lunch card, the function of the amount remaining is a linear function.
The constant rate of change of the function is; -5.25The two ordered pair used to find the constant rate of change are; (1, 44.75) and (2, 39.5)Reasons:
The amount Angelo's mother put on the lunch card = $50
A possible table of values to the question is presented as follows;
[tex]\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right][/tex]
Required:
The constant rate of the function that gives the amount remaining from the
amount Angelo's mother put on his lunch card.
Solution:
[tex]Slope \ or \ constant \ rate \ of \ change = \mathbf{\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]The two ordered pair that can be used to find the slope or constant rate of change are;
(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)
With the above two ordered pairs, we have the constant rate of change of the function given as follows;
[tex]Constant \ rate \ of \ change\ (The \ slope) =\dfrac{39.5-44.75}{2-1} = \mathbf{ -5.25}[/tex]
The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25
Learn more about the constant rate of change of a function here:
https://brainly.com/question/10007759
https://brainly.com/question/16644839
Which of the following is best used to measure the amount of time that has passed in your lifetime?
(A)minutes
(B)seconds
(C)days
(D)years
Answers
write the equation in slo
pe intercept form -1=-2x+y
Answers
Answer:
y = -2x - 1
Step-by-step explanation:
Put y on the left and everything else on the right
While In a cave what did Sirius tell Harry and his friends about crouch
Answers
The information that was given to Harry about Crouch was that it was Crouch who gave the order for him to be sent to the wizard prison without a trial.
It should be noted that when Harry went to Hogsmeade, he brought food for Sirius and he was still in his dog form. Sirius then led them to a cave.
In the cave, they saw Buckbeak, the hippogriff. Sirius then turned back to a human being. He then gave Harry the piece of information that Crouch gave the order for him to be sent to Azkaban which was a prison for wizards.
Learn more about Harry on:
https://brainly.com/question/1173893
i need help with the second part pls
Answers
Answer:
(x, y) = (22, 35)
base angle theorem; angle sum theorem
Step-by-step explanation:
Base angles theorem:
Angles opposite congruent sides are congruent:
3x -11 = 2x +11
x = 22
__
Angle sum theorem:
The sum of angles in a triangle is 180°.
(3x -11)° +(2x +11)° +2y° = 180°
5x° +2y° = 180°
2y = 180 -5(22) . . . . . divide by °, subtract 5x, substitute for x
y = 35 . . . . . . . . . divide by 2
Can someone help me with this? Last one is -1/4 btw
Answers
Plz help ToT I'm horrible at math
Answers
Answer:
24 Square Inches
Step-by-step explanation:
solve similar triangles (advanced)
Answers
Step-by-step explanation:
similar triangles mean that all angles are the same, and the side lengths of one triangle correlate to the corresponding sides of the other triangle by the same factor.
that means that the sides 2 (ED) and x (CB) have the same relation as the 6+4 (AD) and the 6 (AB) sides.
so,
x/2 = 6/(6+4) = 6/10 = 3/5
x = 2 × 3/5 = 6/5 = 1.2
What is 0.27845 rounded to 3 decimal places
Answers
Answer:
0.278
Step-by-step explanation:
Hello can you please help me with this question
Answers
Answer:
A
Step-by-step explanation:
...
plssssssssssssssssssssssss
Answers
Y = x^2 -3
y = (x-3)(x+3)
For x-intercepts, y = 0
Therefore (x-3)(x+3) = 0
x intercepts are (3,0) and (-3,0)
The line of symmetry is x = 3+(-3) = 0
Vertex is on the line of symmetry
When x = 0, y = -1
Vertex = (0,-1)
Answer:
The answer is equal to 0
Step-by-step explanation:
Explanation in the picture.
A stainless steel gas grill is list priced at $495. The manufacturer offers a series discount of 25/20/10 to wholesalers and a 25/20 series discount to
retailers. What is the difference between the prices?
Answers
Answer:200$
Step-by-step explanation:
What is the value of y in the formula show when x=4/5
Answers
Answer:
there is no way to solve for y, but if your solving for x then x=4/5 and in decimal form it is x=0.8 hope that helps
Step-by-step explanation:
Each day Jacob records the number of laps and the distance he walks, in miles, on a track. Graph the relation and determine whether the distance that Jacob walks is a function of the number of laps.
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}
Answers
The distance is 6.18 miles that Jacob walks as a function of the number of laps which is represented in the attached graph.
We have been given the relation below:
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places representing their distance.
The formula of the distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².
The given relation of function is represented in the attached graph.
Take two endpoints (3, 0.75) and (9, 2.25)
x₁ = 3, y₁ = 2.25
x₂ = 4, y₂ = 9
distance = √ (9 – 3)² + (2.25 – 0.75)²
distance = √ (6)² + (1.5)²
distance = √ (36 + 2.25)
distance = √ (38.25)
distance = 6.18 miles
Therefore, the distance is 6.18 miles that Jacob walks is a function of the number of laps.
Learn more about the distance between two points here:
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#SPJ5
Helpppp
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision.
Answers
Answer: Evan is incorrect
Step-by-step explanation:
20/20 - 25 x 100 =
5/20 x 100/1 =
500/20
500/20 = 20%
Evan would only be correct is he doubled the 20 hours to make it 40 hours
Hope this helps✌
_________________ help the group manage relationships
a.
Social roles
b.
Leadership roles
c.
Task roles
d.
Individual roles
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
B
Step-by-step explanation:
Leadership roles help the group manage relationships
[] Leadership is the action of leading a group of people or an organization, so this best completest the answer
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Select the expressions that are equivalent to 12n - 8. Select all that apply.
A. 3n + 4 + 3n + 4 + 4n
B. 11n + 4 + n -12
C. 6(6n - 2)
D. 4(3n – 2)
E. 4n + 22 - 12 + 8n
Answers
A.3n+4+3n+4+4n
=3n+3n+4n+4+4
=10n+8
B.11n+4+n-12
=11n+n+4-12
=12n-8
C.6(6n-2)
=36n-12
D.4(3n-2)
=12n-8
E.4n+22-12+8n
=4n+8n+22-12
=12n+10
so,B and D are the expressions that are equivalent to 12n-8.
Evaluate the expression. 5 x (-6 / -1 + -10)
Answers
Answer:
-20
Step-by-step explanation:
[tex]5 * (-6 / -1+ -10)[/tex]
According to PEMDAS, we need to do the math in the parentheses first.
[tex]-6 / -1 + -10[/tex]
Applying PEMDAS to the inside of the parentheses, then we have to divide -6 by -1, where we would get 6.
[tex]6 + -10[/tex]
Adding a negative is the same as subtracting, so adding negative 10 is the same as subtracting 10.
[tex]6 - 10[/tex]
Subtracting, we get 6 - 10 = -4 and we're left with:
[tex]5 * (-4)[/tex]
Multiplying, our final answer is -20.
Hope this helps!