Answer:
what is the following
Step-by-step explanation:
What is the axis of symmetry for the function f(x)=7−4x+x2?
x = –3
x = –2
x = 2
x = 3
Answer:
x = 2
Step-by-step explanation:
[tex]y = {x}^{2} - 4x + 7 \\ y = (x - 2) {}^{2} - 4 + 7 \\ y = {(x - 2)}^{2} + 3[/tex]
Therefore, axis of symmetry is x = 2
The solution is: x=2, is the axis of symmetry for the function f(x)=7−4x+x2.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, we have,
f(x)=7−4x+x^2
Rewriting as
f(x) = x^2 -4x+7
a =1 b -4 c=7
The axis of symmetry is:
h = -b/2a
= -(-4)/ 2(1)
= 4/2(1)
= 4/2
=a
The axis of symmetry is x=2.
Hence, The solution is: x=2, is the axis of symmetry for the function f(x)=7−4x+x2.
To learn more on function click:
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2,45,250 students appeared for an entrance examination. If 94,750 students did not get admission, find how many students got admission.
can i please get the answer
Answer:
2.45.250- 94.750
= 92. 2975. this is the learners who got the admission
Answer:
1,50,500 students
Step-by-step explanation:
Hope this helps... vote as brainliest
A patient needs 0.5L of ½ NS over 120 minutes. What is the flow rate in mL/hr?
Answer:
250mL/1hr
Step-by-step explanation:
0.5L over 120 minutes
0.25L over 60 minutes
250mL over 60 minutes
Question 31 of 50
An electrician charges (1) an initial fee of $20 and then $30 per hour. Which linear equation represents this if (h) represents hours?
f = 20h + 30
f=30h + 20
f = 50h
Answer:
ok so if it is 30 dollars per hour so 30h plus 20 so
f=30h+20
Hope This Helps!!!
Helen is taking part in a quiz on tv. The Probability she answers the questions correctly is 4/5. Helen is asked two questions. Calculate the probability she answered both questions correctly
Answer:
16/25
Step-by-step explanation:
To find the probability that she gets both questions right, multiply the probabilities together:
4/5 x 4/5
= 16/25
So, the probability that she answers both correctly is 16/25
Translate the phrase into an algebraic expression.
3 more than b
Answer:
b+3 or 3+b
Step-by-step explanation:
Select all that apply.
Which of the following name a line segment in the drawing?
Answer:
lineAF, CE, EF
Step-by-step explanation:
Because a line does not curve. And AB curves.
Assuming I got the correct question, this is the answer.
So, take this as an advice, and next time u post such questions, give a pick, so we know which question u are talking about
Thank You
Hope u understood
Please mark as brainliest
plz answer this very important
Answer:
16
Step-by-step explanation:
From the question given above, the following data were obtained:
1 = 1
2 = 4
3 = 9
4 =?
Observing the data, we can see that the numbers on the right side are simple the squares of the numbers on the left side. This is illustrated below:
1 = 1² = 1
2 = 2² = 4
3 = 3² = 9
Thus, we shall use the same logic to obtain that of 4. This is illustrated below:
4 = 4² = 16
Thus the answer to the question is 16.
Tony wants to save 10,000 in 6 years. Assuming interest rate what is the minimum he must save month to goal?
Answer:
Tony wants to save $10000 in 6 years. which is approx $123. Hence final answer is C) $123.
Answer:
c
Step-by-step explanation:
We have been given that Tony wants to save $10000 in 6 years.
That means future value S = $10000
Time t= 6 years
Interest rate = 4% yearly = 0.04 yearly
n=12 months per year
Now we have to find monthly payment to recieve $10000 in 6 years. so we need to apply monthly payment formula which is
which is approx $123.
Hence final answer is C) $123.
(I WILL MARK BRAINIEST, PLEASE HELP WITH THIS!!!!)
Every week, Katia’s parents randomly decide whether she, her sister Tracy, or her brother Adan takes out the trash. Katia wants to use a fair number cube labeled 1 through 6 to simulate the results of the next 5 weeks.
Select all of the possible ways of assigning the numbers that are fair.
A)The number 1 represents Katia, 2 represents Tracy, and 3 represents Adan.
B) The odd numbers represent Katia, and the even numbers represent her other siblings.
C) The numbers 1 and 2 represent Katia, 3 and 4 represent Tracy, and 5 and 6 represent Adan.
D) The numbers 1 and 3 represent Katia, 2 and 5 represent Tracy, and 3 and 6 represent Adan.
E) The numbers 1 and 6 represent Katia, 2 and 5 represent Tracy, and 3 and 4 represent Adan.
Answer:
c and e
Step-by-step explanation:
they each need to have 2 seperate numbers c and e do that!
I WILL MAKE YOUR ANSWER THE BRAINLIST MAKE SURE YOU ARE RIGHT
FIND THE VOLUME OF THE CONE
Answer:
301.59
Step-by-step explanation:
V=1/3hπr²
sorry in advance if its wrong, this is my 1st time answering this type of question. that's what i got for the answer
CAN YOU SOLVE THIS MATH PROBLEM 20 POINTS
Given the set of vectors , decide which of the following statements is true:
A: Set is linearly independent and spans ℛ 3. Set is a basis for ℛ 3.
B: Set is linearly independent but does not span ℛ 3. Set is not a basis for ℛ 3.
C: Set spans ℛ 3 but is not linearly independent. Set is not a basis for ℛ 3.
D: Set is not linearly independent and does not span ℛ 3. Set is not a basis for ℛ 3.
(1,0,0),(0,1,2)
calculate the value of A in the statement
please edit your question man
If you help me I’ll mark brainliest
Answer:
∠2=92°
Step-by-step explanation:
Using an angle formula, -8x+144=2x+74
Simplification:
-8x+144=2x+74
-8x+70=2x
70=10x
x=7
Therefore, each angle is 88°
Now, because ∠2 is adjacent to one of 88°, they add up to 180°
Therefore,
180°=88°+∠2
∠2=92°
What is the standard form of y - 8 = 2(x + 3)
Answer:
y=2x+14
Step-by-step explanation:
y=2x+2.3+8=2x+14
Find the oth term of the geometric sequence 9, -18,36,...
Pls helpllllll
Step-by-step explanation:
oth term ? please check.
Find the value for the side marked below.
Round your answer to the nearest tenth.
47
у
74°
y = [?]
Answer:
y ≈ 13.5
Step-by-step explanation:
In the given right triangle we have to find the measure of unknown side 'y'.
Since, measure of opposite side and adjacent side of the angle measuring 74° have been given,
We will use tangent ratio for the given angle.
tan(74°) = [tex]\frac{\text{Measure of opposite side}}{\text{Measure of adjacent side}}[/tex]
tan(74°) = [tex]\frac{47}{y}[/tex]
y = [tex]\frac{47}{\text{tan}(74^{\circ})}[/tex]
y = 13.48
y ≈ 13.5 units
identify the 3D shape
Answer and Step-by-step explanation:
The 3D shape shown is a rectangle. This is the net-form of a rectangle.
#teamtrees #PAW (Plant And Water)
Answer:
rectangular prism
Step-by-step explanation:
a rectangle is not 3d. a rectangle is 2d. the correct answer is a rectangular prism.
Ali wants to attend more group exercise classes at his gym. This week, he plans to attend 1 cardio class and 5 weightlifting classes, which will last a total of 237 minutes. Next week, he hopes to attend 5 cardio classes and 5 weightlifting classes, which will last a total of 465 minutes.
a) Write a system of equations that represents the above situation.
b) Use the elimination method to show the length of the cardio class and the length of the weightlifting class.
Answer:
x + 5y = 237
5x + 5y = 465
Step-by-step explanation:
Let
x = length of cardio class
y = length of weightlifting class
x + 5y = 237 (1)
5x + 5y = 465 (2)
Using elimination method
Subtract (1) from (2) to eliminate y
5x - x = 465 - 237
4x = 228
x = 228/4
x = 57 minutes
Substitute x = 57 into (1)
x + 5y = 237 (1)
57 + 5y = 237
5y = 237 - 57
5y = 180
y = 180/5
y = 36 minutes
x = length of cardio class = 57 minutes
y = length of weightlifting class = 36 minutes
If F(x)= 3x-2 and G(x)= x^2+8, what is G(F(x))?
Answer:
(3x-2)^2+8= 9x^2-12x+12
Question 1 of 10
Simplify this algebraic expression completely.
5y-3(y + 2)
Answer:
2y -6
Step-by-step explanation:
5y-3(y + 2)
Distribute
5y -3y - 6
Combine like terms
2y -6
Need help finding the factor of 2y^2-2y-4
Answer:
hope it helps you............
Answer:
2(y - 2)(y + 1)
Step-by-step explanation:
Given
2y² - 2y - 4 ← factor out 2 from each term
= 2(y² - y - 2) ← factor the quadratic
Consider the factors of the constant term (- 2) which sum to give the coefficient of the y- term (- 1)
The factors are - 2 and + 1, since
- 2 × 1 = - 2 and - 2 + 1 = - 1 , then
y² - y - 2 = (y - 2)(y + 1)
Then
2y² - 2y - 4 = 2(y - 2)(y + 1) ← in factored form
Stevens College plans to have 20 computers for every 100 students. How many computers are needed for 1,500 students?
Answer:
300 computers
Step-by-step explanation:
So I divided 1500 out of a 100 and got 15, then I multiply 15 to 20 and got 300.
(I am a high schooler so I hope this is 3rd grade math because I notice you are a college student and I hope this not some college tricky math, if you get this wrong I am truly sorry)
Calcular la Media Aritmética, la Mediana, la Moda y el Rango de los siguientes conjuntos de datos, anotando todas las operaciones que sean necesarias:
c) 45, 78, 78, 98, 46, 67, 78, 55, 47, 89
d) 8, 78, 52, 567, 345, 52, 17, 57, 589, 80, 89
e) 7, 8, 9, 5, 7, 3, 7, 9, 4, 3, 7, 6
f) 15, 17, 18, 11, 15, 16, 13, 15, 17, 18, 15, 13, 12, 17, 15, 15, 16
ayudaaaaaaaaaaaaaaaa
Answer:
(c) La media aritmética: 68.1
La mediana: 72.5
La moda: 78
La rango: 45 - 98
(d) La media aritmética: 175.81818181818 (175.8)
La mediana: 78
La moda: 52
La rango: 8 - 589
(e) La media aritmética: 6.25
La mediana: 7
La moda: 7
La rango: 3 - 9
(f) La media aritmética: 15.176470588235 (15.2)
La mediana: 15
La moda: 15
La rango: 11 - 18
Step-by-step explanation:
¡Espero que esto haya ayudado!
Let m Z1=(3x)º, m 22=(5x-7)", m 23=(4x+15), and m ZAFD=128º. Find m44 and m ZBFD.
Answer:
m<4 = 52°
m<BFD = 98°
Step-by-step explanation:
m<1 = (3x)°
m<2 = (5x - 7)°
m<3 = (4x + 15)°
m<AFD = 128°
✔️Find m<4:
m<4 = 180° - m<AFD (angles on a straight line)
Substitute
m<4 = 180° - 128°
m<4 = 52°
✔️m<BFD = m<2 + m<3
Substitute
m<BFD = (5x - 7)° + (4x + 15)°
We need to find the value of x.
Create an equation to find x.
m<1 + m<2 + m<3 = m<AFD (angle addition postulate)
Substitute
3x + 5x - 7 + 4x + 15 = 128°
Add like terms and solve for x
12x + 8 = 128
12x + 8 - 8 = 128 - 8
12x = 120
12x/12 = 120/12
x = 10
m<BFD = (5x - 7)° + (4x + 15)°
Plug in the value of x
m<BFD = 5(10) - 7 + 4(10) + 15
m<BFD = 50 - 7 + 40 + 15
m<BFD = 98°
A certain game consists of rolling a single fair die and pays off as follows: $10 for a 6, $7 for a 5, $4 for a 4, and no payoff otherwise,
Find the expected winnings for this game.
The expected winnings for this game are
(Round to the nearest hundredth.)
1
m
21
m
se
?
Enter your answer in the answer box.
Answer:
$3.50
Step-by-step explanation:
Given:
$10 for a 6, $7 for a 5, $4 for a 4, and no payoff otherwise
P(6) = 1/6 ; p(5) = 1/6 ; p(4) = 1/6 ; p(1,2or3) = 3/6 = 1/2
P(x) ____ 1/6 _____ 1/6 _____1/6 _____1/2
x______ 10 _______ 7 _____ 4 _______ 0
Expectwd value ; E(x)
Σx*p(x) = (1/6 * 10) + (1/6 * 7) + (1/6 * 4) + (1/2 * 0)
E(x) = 3.50
State the x- and y-intercepts.
1. y-intercept?
2. x-intercepts?
3. Is this parabola positive or negative?
1. Y-Intercepts are where the graph crosses the y-axis. For a parabola, this occurs once, at (0, -3) in the graph shown.
2. X-Intercepts are where the graph crosses the x-axis. For a parabola, this occurs twice, at (-1, 0) and (3, 0) in the graph shown.
3. A parabola that is positive opens upwards, while a parabola that is negative opens downwards. Therefore, this parabola is positive.
Hope this helps!! :)
1, Find the interior angle of a regular polygon with 20 sides. What is the size of exterior angle?
2, Calculate the
(I) exterior angle
(ii) the number of sides of a regular polygon with an interior angle of
(a) 60° (b) 72° (c) 165°
Answer:
Step-by-step explanation:
1) (20 -2) * 180 = 3240 (sum of the inner angles)
3240 : 20 = 162 degrees
2) (I) 180 - 162 = 18 degrees
(ii)
a = 3 (it is an equilateral triangle)
b = 5 (it is a pentagon)
c = 24
Answer:
1. 180(n-2) gives you the angle sum
devide by n to get the value of one interior angle
n are the number of sides, or corners
180(20-2)/20 = 162° is the interior angle.
the exterior angle is just 360°-162° = 198°
2i) seems to be included in 1), pls clarify if that's not the case.
remember
180(n-2)/n = int.angle
let's do this with (a) 60°
180(n-2)/n = 60
(180n-360)/n = 60 |*n
180n-360 = 60n |-180n
-360 = -120n |/(-120)
3 = n
2iia) 3 sides / triangle
2iib) 5 sides / pentagon
2iic) 24 sides
if y=8, evaluate the following expression: 40-5y