Answer:
C
Step-by-step explanation:
x + 9 = 4(x-1)²
x + 9 = 4(x² - 2x + 1) Multiply (x - 1) times (x - 1)
x + 9 = 4x² - 8x + 4
4x² - 9x - 5 = 0 Subtract x + 9 from both sides
Determine the equation of the line below using the given slope and point.
Slope = m = 4 , Point (-3,-11)
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)
The equation is:
⇨ y + 11 = 4(x + 3)Work/explanation:
Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),
where m is the slope and (x₁, y₁) is a point on the line.
Plug in the data:
\(\rm{y-(-11)=4(x-(-3)}\)
Simplify.
\(\rm{y+11=4(x+3)}\)
Hence, the point slope equation is y + 11 = 4(x + 3).Simplified to slope intercept:
\(\rm{y+11=4x+12}\)
\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation
Please ANSWER!!!!!!!
Answer:
See explanation
Step-by-step explanation:
It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.
For which triangle does the Pythagorean Theorem
express the relationship between the lengths of its three
sides?
A
B
C
D
Pythagorean theorem is represented by triangle B.
Which triangle express the relationships according to Pythagorean theorem?
In this question we find four cases of triangle, of which we must determine what triangle can be explained by Pythagorean theorem. This theorem offers a relationship between the three sides of the triangle:
r² = x² + y²
Where:
x, y - Legsr - Hypotenuse.Please notice that hypotenuse is the longest side of the triangle. Graphically speaking, there is a right triangle, that is, a triangle with one right angle. Then, triangle B express the relationship according to Pythagorean theorem.
To learn more on Pythagorean theorem: https://brainly.com/question/20254433
#SPJ1
2x+3y+1+3xi=x-2y+(3+y)i
Answer:
Step-by-step explanation:
I suppose the question is to solve the equation
\(2x+3y+1+3ix=x-2y+(3+y)*i\\\\2x+3y+1+3ix-x+2y-3i-iy=0\\\\x+5y+1+i(3x-y-3)=0\\\\\Longrightarrow\\\\\left\{\begin{array}{ccc|c|c|}x+5y&=&-1&-3&1\\3x-y&=&3&1&5\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}-16y&=&6\\16x&=&14\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&\dfrac{14}{16}\\\\y&=&\dfrac{-6}{16} \\\end{array}\right.\\\)
The endpoint of ST are S(3, -2) and T(5, 2). What are the coordinates of the midpoint of ST?
Answer:
(4, 0)
Step-by-step explanation:
Given:
S(x=3, y=-2) and
T(x=5, y=2)
Calculate the coordinates of the midpoint of ST
x-coordinate or the midpoint is at half distance between the 5 and 3
y-coordinate or the midpoint is at half distance between the -2 and 2
((3+5)/2, (-2+2)/2) =
(4, 0)
PLEASE HELP !!!
A sleep study was given to 20 randomly selected people between the ages of 1 and 16. The graph shows the relationship between the age of the person and the number of hours they slept.
Which of the following describes the pattern of association between the variables, based on the graph?
A. There is a positive linear association.
B. There is a positive nonlinear association.
C. There is a negative linear association.
D. There is a negative nonlinear association.
Based on the information provided, the pattern of association between age and hours of sleep is a positive nonlinear association
Why is this a positive nonlinear association?According to the given information, there is a correlation between age and duration of sleep which is positively non-linear.
As one gets older, sleep duration is not a steady or uniform linear progression. Instead, it demonstrates a non-linear correlation, indicating a pattern that is not straight and possibly curved when visualized on a graph.
With this in mind, it can be seen that the correct answer is B. There is a positive nonlinear association.
Read more about graphs here:
https://brainly.com/question/26233943
#SPJ1
A hummingbird flaps its wings 8,400 times in 120 seconds. how many times can it flap its wings in 35 seconds?
Answer:
2450 times per minute (if my math is correct)
Step-by-step explanation:
A hummingbird should flap it's wings 2100 times in 30 seconds and 350 times in 5 seconds if you use a table. 2100+350=2450
Answer:
Step-by-step explanation: 8,400 divided by 35.
Which function is decreasing on the same interval as the function graphed here?
f (x)
61
N
-2
O A.
O B.
O c.
O D
4
2
-2
10
-41
2
A.
★
k (2) = -2x2 – 82 + 5
भ
Ko
j (±) = 22 + 4 – 4
=
9 (‡) = 322
- 12x + 18
h (x) = 2x2 + 8x + 3
The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.
To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.
Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.
Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.
Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).
Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).
for such more questions on function
https://brainly.com/question/11624077
#SPJ8
Please help
This assignment is due in few hours I really need help with this question There is a photo of the question to make it easier to understand The graph below shows a transformation of
y
=
2
x
.
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
Write an equation of the form
y
=
A
⋅
2
x
+
k
for the graph above.
y =
Answer: y= -2ˣ + 4
Step-by-step explanation:
You need to know how the parent function looks and then how it's been transformed. The image shows in red the parent function and the green is the new function.
You can see from the parent function, it's been flipped/reflected.
Also it's been shifted up 4
The formula is:
y = A * 2ˣ + k
where A is your stretch and where your reflection goes. No stretch but there was a reflection so
A = -1
k is your shift up or down, here you shifted up 4
Put it together:
y= -2ˣ + 4
Check the picture below.
Which value from the set makes 54/x=9
true?
A.54
B.45
C.27
D.6
Answer:
D
Step-by-step explanation:
A line has a slope of 1 and passes through the point (-8, -7). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer: y = x + 1
Step-by-step explanation:
y = 1x + c
-7 = 1(-8) + c
-7 = -8 + c
-7 + 8 = c
1 = c
y = 1x + 1 or
y = x + 1
Answer:
y+8=m(x+7)
hope this helps:
I used this formula y-y1=m(x-x1)
What is the missing term? Please help me
Answer:
6x
Step-by-step explanation:
2x*3x=6x
Abbys mother is making treat bags for the 30 students in abbys class. She purchased bags at 5 for 1 candy bars at 10 for 0.50 and whistles at 3 for 0.75. If she puts 1 candy bar and 1 whistle I’m each bag how much will Abbys mother spend not including tax?
Answer:
Abby's mother spent $9.75 for the classroom not including tax.
Step-by-step explanation:
Know:
5 bags for 1 dollar
10 candy bars for 50 cents
3 whistles for 75 cents
5×6=30
10×3=30
3×10=30
5 times 6 is thirty. So find the product of 6 and 1 which is 6. 6 is the overall cost of bags.10 times 3 is 30. So find the product of 3 and .50 which is 1.50. 1.50 dollars is the overall cost of candy bars.3 times 10 is 30. You then find the product of 3 and .75. The product of this is 2.25 which is the total cost of whistles.Next you add all the values together which are 6.00 + 1.50 + 2.25 this equals $9.75What is the simplified ratio of female to male students in a class, if there are 18 boys and 9 girls?
What is the value today of a $12,000 cash flow expected to be received seventeen years from now based on an annual interest rate of 7%?
0 $3,799
O $5,888
0 $4,749
O $37,906
Answer:To find the present value of a cash flow expected to be paid or received in the future, you will ??? the future value cash flow by (1 + I)NN.
-divide
-multiply
What is the value today of a $12,000 cash flow expected to be received 17 years from now based on an annual interest rate of 7%?
-$3,799
-$3,039
-$37,906
-$4,749
Your broker called earlier today and offered you the opportunity to invest in a security. As a friend, she suggested that you compare the current, or present value, cost of the security and the discounted value of its expected future cash flows before deciding whether or not to invest. The decision rule that should be used to decide whether or not to invest should be:
-Everything else being equal, you should invest if the current cost of the security is greater than the present value of the security’s expected future cash flows.
-Everything else being equal, you should invest if the present value of the security’s expected future cash flows is less than the current cost of the security.
-Everything else being equal, you should invest if the discounted value of the security’s expected future cash flows is greater than or equal to the current cost of the security.
Now that you’ve thought about the decision rule that should be applied to your decision, apply it to the following security offered by your broker:
Jing Associates, LLC, a large law firm in Denver, is building a new office complex. To pay for the construction, Jing Associates is selling a security that will pay the investor the lump sum of $23,000 in two years. The current market price of the security is $14,245.
Assuming that you can earn an annual return of 8.50% on your next most attractive investment, how much is the security worth to you today?
-$16,606
-$24,421
-$19,537
From strictly a financial perspective, should you invest in the Jing security?
-Yes
-No
Why or why not?
-Because the discounted value of the security’s future cash flows is greater than the cost of the security.
-Because the cost of the security is greater than the discounted value of the security’s future cash flows.
Step-by-step explanation:
Please answer this math problem :)
Answer:
49/9 or 5 4/9
Step-by-step explanation:
Answer: 8 4/9
Step-by-step explanation: Hope this helps :)
Use braces to write the members of the set, or state that the set has no members.
The integers from 6 to 10 (inclusive)
A.
{7, 8, 9}
B.
{6, 7, 8, 9}
{6, 7, 8, 9}
{6, 7, 8, 9}
{6, 7, 8, 9}
C.
{7, 8, 9, 10}
D.
{6, 7, 8, 9, 10}
The integers from 6 to 10 (inclusive).will be D. {6, 7, 8, 9, 10}.
How to compute the value?It should be noted that the integers given are from 6 to 10 (inclusive).
In this case, this simply means the numbers from 6 to 10.
Therefore, the appropriate number will be: D.
{6, 7, 8, 9, 10}
In conclusion, the correct option is D.
Learn more about sets on:
brainly.com/question/28365114
#SPJ1
A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
Learn more about solutions to the system of inequalities here:
https://brainly.com/question/16339562
#SPJ1
H E L P
Evaluate the expression if x = 7 and y = 12
5x - y
\(\\ \rm\longmapsto 5x-y\)
x=7y=12\(\\ \rm\longmapsto 5(7)-12\)
\(\\ \rm\longmapsto 35-12\)
\(\\ \rm\longmapsto 23\)
Answer:
\(5x - y \\ x = 7 \\ y = 12 \\ then \: 5x - y = 5 \times 7 - 12 \\ = 35 - 12 \\ = 23 \\ thank \: you\)
is (6,3) and (8,4) inverse or direct
Answer:
i think its direct. not sure tho.
Step-by-step explanation:
The red thing at the top is a right angle. Find the missing side lengths and leave answers as radicals in simplest form ILL GIVE BRAINLIEST
Answer:
A. x = 13
y = (13√3)/3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = (26√3)/3
Adjacent = x
Opposite = y
✔️Apply CAH to find x:
Cos 30 = Adj/Hyp
Cos 30 = x/(26√3)/3
√3/2 = x*3/(26√3) (cos 30 = √3/2)
√3/2 = 3x/(26√3)
Cross multiply
2*3x = (26√3)*(√3)
6x = 26*3
6x = 78
x = 78/6
x = 13
✔️Apply SOH to find y:
Sin 30 = Opp/Hyp
Sin 30 = y/(26√3)/3
Sin 30 = y*3/(26√3)
½ = 3y/(26√3) (sin 30 = ½)
Cross multiply
2*3y = (26√3)*1
6y = 26√3
Divide both sides by 6
y = (26√3)/6
y = (13√3)/3
HELP IM IN DESPERATE NEED!!!
What is the solution to this system of equations?
[Given]
{ x + y = 6
{ x = y + 4
[Plug-in our x value & solve]
[Given] x + y = 6
[ Plug-in] (y + 4) + y = 6
[Distribute] y + 4 + y = 6
[Combine like terms] 2y + 4 = 6
[Subtract 4 from both sides] 2y = 2
[Divide both sides by 2] y = 1
[Answer]
Third option - (5, 1)
-> You do not need to solve for x since this is the only option that has y = 1, but to solve for x we would do y + 4 = 1 + 4 = 5, so this answer fully checks correctly
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^∇^)
★ Also please leave the rating you think I deserve (It helps other users as well as myself)
- Heather
The cost of a pound of nails increased from $2.17 to $2.52. What is the percent of increase to the nearest whole-number percent?
Answer:
16% is the percent of increase to the nearest whole-number percent.
Step-by-step explanation:
As the cost of a pound of nails increased from $2.17 to $2.52.
$2.52 - $2.17 = $0.35so dividing the 0.35 by 2.17 would give us the percetange of increase
0.35/2.17 = 0.16 which is 16%.Therefore, 16% is the percent of increase to the nearest whole-number percent.
How many two or three-digit numbers can you make using the digits 1, 7, 8, 5, and 2?
Answer:
the are so many numbers but here's one of them
Step-by-step explanation:
Since the number is less than 700, it cannot begin with a 7 or an 8.
So the hundreds digit can only be a 2 or a 5.
Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.
Hence, the number of such numbers is 2x3x2 which is 12.
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.
What is a sample?A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5
⇒ 25
The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5 x 3
⇒ 125
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 125 + 25
⇒ 150
More about the sets link is given below.
https://brainly.com/question/350477
#SPJ2
What is the surface area of the rectangular pyramid below?
Answer:
A. 675 units²
Step-by-step explanation:
The formula for the surface area of a square pyramid is ...
A = s(s +2h)
where s is the side length of the base, and h is the slant height of a face.
__
use the formulaThe given pyramid has s=15 and h=15, so the surface area is ...
A = (15)(15 +2×15) = 15(45) = 675 . . . square units
Which angles represent alternate interior angles?
Question 21 options:
G and H
A and D
B and H
C and F
Answer:
A and D
Step-by-step explanation:
Alternate interior angles are the angles formed when a transversal intersects two coplanar lines.
15. Enter the missing digit to complete the subtraction statement
2 5 4, 8 1 7
- 1 3 _, 1 2 5
__________
1 1 8, 6 9 2
Help me please I dont understand
Answer:
42°
Step-by-step explanation:
This is right triangle and sum of 2 angles is 90°:
y+48°=90°
so y= 90°- 48°= 42°
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
For more such questions on explicit
https://brainly.com/question/30394385
#SPJ8
I need help!!!!!!!!!
Answer:
its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2
Answer:
When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.
Multiply b^2 * b^3 = b^5 (add the exponent 2 + 3 = 5)
Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)
Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)
b^2 * b*2 = b^4 (add exponents)
7b * b^2 = 7b^3 (add the exponents 1 + 2)
4 * b^2 = 4b^2
b^2 + 7b + 4
b^3 b^5 + 7b^4 + 4b^3
+
b^2 b^4 + 7b^3 + 4b^2
b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2
\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)
b^5 + 8b^4 + 11b^3 + 4b^2