Answer:
y = ( x − 2 ) ^ 2 + 3
y = x^2 − 4x + 7
Step-by-step explanation:
y = a ( x − h ) ^ 2 + k
where vertex is (h,k) = (4,-1)
h=4, k=-1
y = a ( x − 4 ) ^ 2 - 1
sub ( 2,3 )
3 = a (2 - 4)^2 - 1
a=1
y = 1 ( x − 2 ) ^ 2 + 3
y = ( x^2 − 4x + 4 ) + 3
y = x^2 − 4x + 7
655,325 to the nearest hundred thousands
Answer:
700,000
Step-by-step explanation:
55,325 is closer to 100,000 than it is to 0, so the hundred-thousands place would round up.
Answer:
655,325
Step-by-step explanation:
Im pretty sure it would just stay the same because 3 is not enough to bring the 5 up to 6.
Which pair of values could NOT be the roots of a quadratic polynomial?
A) 4 and 6
B) 5 and 5
C) 2 + 3i and 2 + 3i
D) 1 + 3i and 1 –3i
Answer:
Part c
Step-by-step explanation:
In quadratic equations of real coefficients, the complex roots always occur in conjugate bases. It means, if, 2 + 3i is one of the roots and then the second root must be 2 - 3i.
The pair of values that can not be the roots of a quadratic polynomial is 2 + 3i and 2 + 3i
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
Polynomials can be classified based on degree as linear, quadratic, cubic, etc.
If the root of a quadratic polynomial is a complex number, then it must be in conjugate pairs.
The pair of values that can not be the roots of a quadratic polynomial is 2 + 3i and 2 + 3i
Find out more on polynomials at: https://brainly.com/question/4142886
The original cost of a piano is $19,100, and it is on a sale for 19% off its original price. If the total cost includes a 5% sales tax, the total cost of the piano is ____________.
Answer: $16,244.55
Step-by-step explanation: Multiply $19,100 by .19 to find the discount. Then subtract that number from the original to find the discounted price. Then multiply the discounted price by .5 to find the tax. Add the tax to the discounted price to find the discounted taxed price. This is the final price and is $16,244.55
I rlly need help with these two questions so I would rlly appreciate it if someone helped me out loll I will mark you as brainliest if you answer this correctly pls and ty
Answer:
B and D
Step-by-step explanation:
As you can see in the first problem, the dots are going upward in an upwards pattern from left to right. If its going upwards, it is positive. Negative would be going down, and no correlation would be all over the place, yet the dots are precise. As for the second problem, it is once again going upwards, so this is showing an increase.
please help me with this question
The function g(x) is defined as shown.
StartLayout enlarged left-brace 1st row 1st column 3x minus 2, 2nd column negative 4 less-than-or-equal-to x less-than negative 2 2nd row 1st column negative x minus 1, 2nd column negative 2 less-than-or-equal-to x less-than 1 3rd row 1st column 6, 2nd column 1 less-than-or-equal-to x less-than-or-equal-to 3 EndLayout
What is the value of g(0)?
−2
−1
3
6
Answer:
B:-1
Step-by-step explanation:
Just took test 2021
Answer:
Step-by-step explanation:
The given function is a piecewise function with characteristics that vary with the value of x.
Please find attached the graph of h(x).
Reasons:
The given information is presented as follows;
From the above piecewise function, we have;
For x ≤ 0, the slope of the graph of h(x) =
For 0 < x ≤ 3, the slope of the graph of h(x) =
For x ≥ 4, the slope of the graph of h(x) =
Therefore, as we progress from left to right, the slope of h(x) increases and
the slope of the graph becomes steeper.
The graph of h(x) is plotted with the given equations using MS Excel as
shown in the attached diagram.
find the length of AB
8 m
140°
Answer:
19.54
Step-by-step explanation:
Answer: 19.54
Step-by-step explanation: 140/360*(8*2*3.14)
1. Use the triangle below to determine the values indicated:
Answer:
A. Sine Y = 20 / 29
B. Cos Y = 21 / 29
C. Tan Y = 20 / 21
D. Sine Z = 21 / 29
E. Cos Z = 20 / 29
F. Tan Z = 21 / 20
Step-by-step explanation:
A. Determination of Sine Y
Opposite = 20
Hypothenus = 29
Sine Y =?
Sine Y = Opposite / Hypothenus
Sine Y = 20 / 29
B. Determination of Cos Y
Adjacent = 21
Hypothenus = 29
Cos Y =?
Cos Y = Adjacent / Hypothenus
Cos Y = 21 / 29
C. Determination of Tan Y
Opposite = 20
Adjacent = 21
Tan Y =?
Tan Y = Opposite / Adjacent
Tan Y = 20 / 21
D. Determination of Sine Z
Opposite = 21
Hypothenus = 29
Sine Z =?
Sine Z = Opposite / Hypothenus
Sine Z = 21 / 29
E. Determination of Cos Z
Adjacent = 20
Hypothenus = 29
Cos Z =?
Cos Z = Adjacent / Hypothenus
Cos Z = 20 / 29
Determination of Tan Z
Opposite = 21
Adjacent = 20
Tan Z =?
Tan Z = Opposite / Adjacent
Tan Z = 21 / 20
Question 1
If a coin is flipped 3 times, what is the probability that it will show all heads?
Create a tree diagram to help you answer this question.
O 1/8
O 3/8
O 1/2
1/4
Let t rep tail and h rep head
First tose= h or t
Second tose= h or t
Third tose= h or t
Counting the head and tail together
Then t= 3 and h=3
According to The formulae
3/6= 1/2
Please help I want to make sure that I’m doing this right
PLS SOMEONE HELP!! DUE TODAY
Answer:
XZ > XY > YZ
Step-by-step explanation:
1. Approach
To solve this problem, one must find the value of (x), then the measure of every angle in the triangle. Remember, the sum of all angles in a triangle is equal to 180 degrees. Another property of a triangle is that the largest side of a triangle will be opposite the largest angle of the triangle, conversely, the smallest side of a triangle will be opposite the smallest angle in the triangle.
2. Find the value of (x)
The sum of all angles in a triangle is equal to 180 degrees. Using this theorem, one can state,
m<X + m<Y + m<Z = 180
Substitute,
(50) + (5x + 10) + (5x) = 180
Simplify,
10x + 60 = 180
Inverse operations,
10x + 60 = 180
-60 -60
10x = 120
/10 /10
x = 12
3. Find the measure of each angle
Now substitute the value of (x) into the expressions given to represent the value of each angle.
m<X = 50
m<Y = 5x + 10 = 5(12) + 10 = 60 + 10 = 70
m<Z = 5x = 5(12) = 60
4. Now apply this to find the comparative lengths of the sides
One property of a triangle is that the side opposite the largest angle in the triangle is the largest side. Moreover, the side opposite the smallest angle in a triangle is the smallest side. In this problem, it is impossible to find the exact lengths of the sides of the triangle, but one can find out which side is larger or smaller than the other side.
m<Y = 70
m<Z = 60
m< X = 50
m<Y > m<Z > m<X
Side XZ is opposite m<Y
Side XY is opposite m<Z
Side YZ is opposite m<X
This means,
XZ > XY > YZ
Solve for x.
X -8 = -11
PLZ I NEED ANSWER ASAP
Answer:
i had this text by ms putz u prob know her she ur teacher that answer is -3 because if you subtract -8 from -11 you will get -3
Step-by-step explanation:
what's the domain and range
MK=24, JL= 20, And m
Answer:
Step-by-step explanation:
Answer: need a pic or more info
Step-by-step explanation:
What is the area of the triangle?
6
2
3
Answer:
6
Step-by-step explanation:
Find the area of both triangles inside the bigger triangle and add them together.
Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:
a² + b² = c²
2² + b² = 3²
4 + b² = 9
5 = b²
2.2 ≈ b
Calculate the area of the smaller triangle:
1/2(bxh)
1/2(2 x 2.2)
1/2(4.4)
2.2
Calculate the area of the bigger triangle:
We know that the longer leg is 3.8 units because we were able to subtract the length of the smaller triangle's leg from 6.
1/2(bxh)
1/2(2 x 3.8)
1/2(7.6)
3.8
Add both areas to find the area of the largest triangle:
3.8 + 2.2 = 6
Some iPhones produced within a time period have faulty battery issues. Thirty percent of such iPhones will need battery service while under warranty. A family owns 5 iPhones produced within the time frame of potential faulty production.
(a) What is the probability that exactly two iPhones will end up being serviced under warranty?
(b) What is the probability that at least two iPhones will end up being serviced under warranty?
(c) What is the expected number of iPhones in the family that require service?
(d) What is the standard deviation of the number of iPhones in the family that requires service?
Answer:
a) 0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.
b) 0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty
c) The expected number of iPhones in the family that require service is 1.5.
d) The standard deviation of the number of iPhones in the family that requires service is 1.0247.
Step-by-step explanation:
For each iPhone, there are only two possible outcomes. Either they have battery issues under warranty, or they do not. iPhones are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Thirty percent of such iPhones will need battery service while under warranty.
This means that [tex]p = 0.3[/tex]
A family owns 5 iPhones produced within the time frame of potential faulty production.
This means that [tex]n = 5[/tex]
(a) What is the probability that exactly two iPhones will end up being serviced under warranty?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]
0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.
(b) What is the probability that at least two iPhones will end up being serviced under warranty?
This is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]
[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{2} = 0.1323[/tex]
[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{1} = 0.0284[/tex]
[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.0024[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.3087 + 0.1323 + 0.0284 + 0.0024 = 0.4718[/tex]
0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty.
(c) What is the expected number of iPhones in the family that require service?
[tex]E(X) = np = 5*0.3 = 1.5[/tex]
The expected number of iPhones in the family that require service is 1.5.
(d) What is the standard deviation of the number of iPhones in the family that requires service?
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.3*0.7} = 1.0247[/tex]
The standard deviation of the number of iPhones in the family that requires service is 1.0247.
Ms. Howard is companing the cost to attend two different preschools.
Pencil
0 Clear
Preschool A charges a $40.00 registration fee plus $5.00 per day of attendance.
Preschool B does not charge a registration fee but charges $7.50 per day of attendance.
.
At what number of days will the cost of attendance be the same for both preschools?
3 days
6 days
16 days
None above
Answer:
6 days
Step-by-step explanation:
its 6 days
Evaluate 150 - ( 2 +x)^ 3 when x - 2
Answer:
86
Step-by-step explanation:
(2+2=4) 4 to the 3rd power is 64. 150 minus 64 is 86
Solve for n
56 = -4n
a. 60
b. -4
c. -14
d. 224
Which figures are polygons?
Select each correct answer.
Figure A
Figure B
Figure C
Figure D
Simplify the expression: 5(-5 + 2y) =
can't quite figure out the limit problem
Use the squeeze theorem; if
1 - x ²/4 ≤ u(x) ≤ 1 + x ²/2,
then taking the limit on each part as x approaches 0 gives
1 ≤ lim [x → 0] u(x) ≤ 1
and so the limit of u(x) as x → 0 is simply 1.
Help ASAP!!!! Thanks
Answer:
No DB is not a perpendicular bisector of AC
Step-by-step explanation:
This is because as AC is a straight line it's angle degree is 180 which when bisected by DB becomes,
180 ÷ 2 = 90
On both the angles i.e <BDC = <NDA = 90°
To make it a perpendicular bisector but
<BDC is not equal to <NDA is not equal to 90°.
Hence, DB is not a perpendicular bisector of line AC.
if you need extra points (50 points) and brainiest answer this correctly plz
Answer:
D) 500 square feet
Step-by-step explanation:
20x40=800
30x10=300
800-300=500
Answer:
500 square feet
Step-by-step explanation:
Walk way A=bh
A=40 times 20
A=800
garden
A=30 times 10
A=300
Now subtract walkway from the garden. 800 - 300= 500
Is it 1,2,3 or 4
Look at the picture.
Thank u!
Answer:
4896 sq units
Step-by-step explanation:
A = lw
multiply 48 to 102
What three dimensional shape is made when you rotate a triangle horizontally?
Answer:
When you rotate a triangle horizontally, a cone is formed.
Evaluate the following expression when x = 3 and y = 5: x^2 + y^3 2+x
Answer:
139
Step-by-step explanation:
x^2 + y^3 2+x = 3^2 + 5^3 + 2 + 3
= 9 + 125 + 5
= 139!
1. Exercise 18, section 3.1. Let D be the set of all students at your school and let M(s) be "s is a math major", let C(s) be "s is a computer science major" and let E(s) be "s is an engineering major". Express each of the following statements using quantifiers, variables and the predicates M(s), C(s), E(s). a. Every computer science student is an engineering student b. No computer science students are engineering students c. Some computer science students are also math majors.
Answer:
∀s ∈ D, C(s) - - - > E(s)
∀s ∈ D, C(s) - - - > ~ E(s)
∃s ∈ D such that M(s) ∧ C(s)
Step-by-step explanation:
D = set of all students
M(s) = s math major
C(s) = s Computer science major
E(s) = s Engineering major
Expressing the following using quantifies variables and predicates :
A.) Every computer science student is an engineering student
∀s ∈ D, C(s) - - - > E(s)
b. No computer science students are engineering students
∀s ∈ D, C(s) - - - > ~ E(s)
c. Some computer science students are also math majors
∃s ∈ D such that M(s) ∧ C(s)
∃s = Existential Domain
∀s = universal
∧ = connective and
~ = not
∈ = belongs to
A garden has four sides that are all the same length. Each side measures x + 5 units. The garden’s perimeter is 144 units. What is the value of x?
Show your work for full points or brainlyest answer
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
4(X+5) = 144 (if on side measures (x+5) then P will be the 4 sides added
so adding the same value repeatedly means multiplication.
- Distribute: 4x + 20 = 144
- Inverse op. to isolate the variable minus 20 from both sides
- 4x = 124
- Divide by 4 on both sides
- 124/4 = 31
- x = 31 units
hii they asked this again but in cm
Answer:
9 + 9 + 3 + 3 = 24
P = 24 cm
9 x 3 = 27
A = 27 square cm
(I think those are the answers, hope it helps <3 )