(1)/(4p)(x-h)^(2)+k=0
Multiply the equation by 4p. Explain how different values of k affect the number of zeros of the polynomial. Consider k > 0, k = 0, and k < 0. Assume p > 0.
Answer:
Step-by-step explanation:
Given p>0, multiply the equation by 4p: (1/4p)*(x-h)^(2)+k=0
(x-h)^2+4kp = 0
k>0
4kp>0
(x-h)^2 = -4kp
So x has imaginary roots only. There is no real zeros of the polynomial.
k=0
4kp=0
(x-h)^2 = 0
x=h
So x has one real root and the polynomial has one zero
k<0
4kp<0
(x-h)^2 = -4kp
So x has two real roots and the polynomial has two real zeros.
Answer:
Step-by-step explanation:
Assume that and multiply the equation by 4p. Then you obtain the equation (x-h)^2+4pk=0.
1) If k>0, then 4pk>0 and the equation does not have real solutions and there is no zero.
2) If k=0, then 4pk=0 and . There is one solution x=h and there is one zero.
2) If k<0, then 4pk<0 and the equation has two different solutions and there are two zeros.
Help fast as you can worth 7 points
Answer:
d
Step-by-step explanation:
Answer: B
Step-by-step explanation: you have to multiply the 4 and 2
What is the area of the given circle in terms of pi.
Answer:
First one
Step-by-step explanation:
Answer:
[tex]13.69\pi[/tex]
Step-by-step explanation:
here radius (r)=3.7
guyss help plss i need serious answer I'm buriéd with work plss beg :(
Answer:
solution given:
B.
CE=2×2=4[base side is double to the line of mid point]
AB=15/2=7.5[b is a mid point]
m<AEC=75°[ corresponding angle]
5.
given:
BD=x+1
CE=x+10
we have
2BD=CE
2(x+1)=x+10
2x+2=x+10
2x-x=10-2
x=8
The value of 3^4+5•5=
Answer:
106
Step-by-step explanation:
3^4=81
5·5=25
81+25=106
can someone please help
find the slope/rate of change on graph
Answer:
1/3
Step-by-step explanation:
rate of change is y/x
so take the first y (5) and the first x (15)
and divide them
5/15= 0.333333333...
0.33... is 1/3
The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the mode?
Answer:
Mode is 20.
Step-by-step explanation:
Mode is the value or values in the data set that occurs most frequently.
{12, 12.50, 13, 18.50, 20, 20}
20 is the number that occurs most frequently.
hope this helps and is right :)
The diagonal of a rectangular tabletop measures 52 inches. If the width is 20 inches, what is the length of the tabletop rounded to the nearest hundredth inch?
See attachment for reply.
26 beats in 1/6 minutes equals what beats per minute
Answer:
156
Step-by-step explanation:
Answer:
156
Step-by-step explanation:
26 for every 1/6
So we multiply 26 times 6 to get the full minute
Use the drop-down menu to complete the following sentence. The value of the expression 3^-4×3^-5 is
Please help, due in 45 minutes.
What is the value of the y-coordinate of the solution to the system of equations 2x + y = 8 and x - 3y = -3?
A: -2
B: 2
C: 3
D: -3
Answer:
B: 2
Step-by-step explanation:
2x+y=8
x-3y=-3
x=3 and y=2
so answer is B: 2
Compare the two data sets. Do they have the same center, or is the center of Walden’s data set greater or less than the center of Drake’s data set?
Answer:
Walden’s data ranges from 2 to 4, and Drake’s data set ranges from 3 to 9. Drake’s data set has a greater spread than Walden’s data set.
Step-by-step explanation:
helpppppp plzzzzzzzzzzzzz
Step-by-step explanation:
gradient=∆y/∆x
y=-2,4
x=0,2
y=-2-4
x=0-2
-6÷-2
Ans:3
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
hi answer is 69 solved by Pythagoras theorem
Answer:
7.94
Step-by-step explanation:
We can use the Pythagorean theorem for this
since we know two legs, and not the hypotenuse, we should solve for that
the pythagorean theorem states that a squared + b squared is equal to c squared. C, is the hypotenuse, sos let’s plug it in
16 + 47 = c squared
63 = c squared.
square root 63 = c
c is equal to 7. 94 rounded to the nearest hundered
please help! thanks!!!
Answer:
27.5 = CE
Step-by-step explanation:
The two triangles should be similar to each other, so we can set up a ratio of 15:6. This gives us a final ratio of 2.5:1 Multiply EA = 11 by 2.5 to find its corresponding side measure
11*2.5 = 27.5
I dont know how to solve this question can someone help
Answer:
B. $102.20 on the second day
* if refering to dues in all it would be D. $219.00
Step-by-step explanation:
1. 15 -8 = 7 remaining members
2. 7* the monthly dues - 7*14.60 = $102.20
Question 25 of 25
Use the table to identify values of p and g that can be used to factor
x2 - - 4x - 12 as (x + p)(x + 9).
g
-6
р
2.
-2.
3
-3
6
p+q.
-4
4.
-1
1
-4
4
O
A. -2 and 6
B. -3 and 4
C. 2 and -6
D. 3 and -4
The required value of p and q for the factor of the expression x² - 4x - 12 is -6 and 2.
Correct option is (C).
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
x² - 4x - 12.
To determine the factor, solve the expression,
x² - 6x + 2x - 12
x(x - 6) + 2(x - 6)
Take (x - 6) common,
(x - 6)(x + 2)
According to the given condition, the factors are (x + p)(x + 1)
Compare the values,
p = -6 and q = 2
The values of p and q are -6 and 2.
To know more about Algebraic expression on:
https://brainly.com/question/19245500
#SPJ1
select all of the words that represent the answer to a quadratic equation (there are 4 answers).
-x intercepts
-y intercepts
-solutions
-intersections
-roots
-zeros
Answer:
see explanation
Step-by-step explanation:
The words used to represent answers to a quadratic equation are
• x- intercepts
• solutions
• roots
• zeros
can someone please help me
Answer:
y - 24 = - 7(x + 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 24) and (x₂, y₂ ) = (7, - 53)
m = [tex]\frac{-53-24}{7+4}[/tex] = [tex]\frac{-77}{11}[/tex] = - 7
Using m = - 7 and (a, b) = (- 4, 24 ) , then
y - 24 = - 7(x - (- 4)), that is
y - 24 = - 7(x + 4)
Heather buys 12 patio chairs for $366. Each chair costs the same amount.
Part A
Which equation represents the best estimate for the cost of each chair?
Part B
What is the exact cost of each chair
Heather also buys 12 patio lights for $63. She estimates the cost of each light to be about $5.
She then calculates the actual cost of each light to be $2.40. Use the drop-down
boxes to explain whether her calculation is reasonable
Which of the following is true about a pattern with the rule "Multiply by 3 and subtract 2"
and the starting number 1?
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Let's follow the pattern and see what we find.
1 x 3 = 3
3 - 2 = 1
Hang on, we ended up with the same number we started with!
It's a never-ending loop. The answer will always be 1.
1 is also an odd number.
1 ends in, well, 1.
Therefore, all of those are true.
Hence, B.
35points in answered and if correct brainliest.
Read the sentence.
Delightful and entertaining was the way that most viewers found the movie.
What is the best way to restructure the sentence?
The way the viewers found the movie was delightful and entertaining.
The way the viewers found the movie was delightful and entertaining.
Most viewers found the movie delightful and entertaining.
Most viewers found the movie delightful and entertaining.
Delightful and entertaining was the movie as found by most viewers.
Delightful and entertaining was the movie as found by most viewers.
The movie was found to be delightful and entertaining by viewers.
The movie was found to be delightful and entertaining by viewers.
Answer:
The movie was found to be delightful and entertaining by viewers.
Answer:
D. The movie was found to be delightful and entertaining by viewers.
Hope this helps.
help me!!!!!!! asap !!!!!
Answer:
Yes it is a function.
Step-by-step explanation:
It's a function because each input is paired with only one output.
hope this helps and is right :)
Find the answer for this question
18
AB has endpoint A(-2,3) and midpoint M(4,6).
Find the coordinates (x, y) of B.
Answer:
B = (10, 9 )
Step-by-step explanation:
Using the midpoint formula
M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
with (x₁, y₁ ) = A(- 2, 3) and (x₂, y₂ ) = B(x, y) , then equate to the x and y coordinates of the midpoint M(4, 6)
[tex]\frac{-2+x}{2}[/tex] = 4 ( multiply both sides by 2 )
- 2 + x = 8 ( add 2 to both sides )
x = 10
and
[tex]\frac{3+y}{2}[/tex] = 6 ( multiply both sides by 2 )
3 + y = 12 ( subtract 3 from both sides )
y = 9
Then B = (10, 9 )
En un hotel hay 4 pisos y en cada piso hay 4 habitaciones. Si en cada habitación hay 4 personas y cada persona hace 4 llamadas telefónicas, ¿Cuántas llamadas se hacen en total?
Respuesta:
Se realizaron 256 llamadas telefónicas
Explicación paso a paso:
Número de pisos = 4
Número de habitaciones por piso = 4
Número de personas por habitación = 4
Número de llamadas telefónicas por persona = 4
Número total de llamadas telefónicas realizadas;
Número total de personas alojadas en el hotel:
Número de pisos * número de habitaciones por piso * número de personas por habitación
(4 * 4 * 4) = 64 personas
Número de llamadas telefónicas realizadas:
64 personas * 4 = 256 llamadas telefónicas
hi please help i’ll give brainliest
Answer:
B
Step-by-step explanation:
please give brainiest I am in need of it
Answer:
The answer is D
Step-by-step explanation:
Please help. I do not know this.
NO LINKS AND DONT USE ME FOR POINTS
Answer:
87°F = 30.5556°C
36°C = 96.8°C
Bridget drew ΔYZ and Δ′ ′ ′ on a coordinate plane, as shown below.
Which statement about the relationship between ΔYZ and Δ′ ′ ′ is true?
A: Δ′ ′ ′ is NOT a translation of ΔXYZ because not all points contained in Δ′ ′ ′ have negative x-coordinates.
B: Δ′ ′ ′ is a translation of ΔXYZ because their corresponding sides are parallel.
C: Δ′ ′ ′ is a translation of ΔXYZ because all points in Δ′ ′ ′ are the same distance and direction from the corresponding points in ΔXYZ.
D: Δ′ ′ ′ is NOT a translation of ΔXYZ because the y-coordinate of Point is not the same as the y-coordinate of point ′.
Answer:
The statement that is true about the relationship between ΔXYZ and ΔX'Y'Z' is option "C"
C. ΔX'Y'Z' is a translation of ΔXYZ because all points in ΔX'Y'Z' are the same distance and direction from the corresponding points in ΔXYZ
Step-by-step explanation:
The triangles Bridget drew are;
ΔXYZ and ΔX'Y'Z'
The coordinates of ΔXYZ = X(-5, 7), Y(-9, 2), Z(-3, 2)
The coordinates of ΔX'Y'Z' = X'(1, 2), Y'(-3, -3), Z'(3, -3)
From the coordinates we have;
The x-coordinates of ΔX'Y'Z' = The x-coordinates of ΔXYZ + 6
The y-coordinates of ΔX'Y'Z' = The y-coordinates of ΔXYZ - 5
Therefore, the translation that gives ΔX'Y'Z' from ΔXYZ = T₆, ₋₅
Therefore;
1) ΔX'Y'Z' is obtained from ΔXYZ by a translation as the points in ΔX'Y'Z' are obtained from ΔXYZ by adding the same value to the x-coordinates of the points on ΔXYZ and subtracting the same value to the y-coordinates of the points on ΔXYZ, such that the points in triangle ΔX'Y'Z' are equidistant from and on the same side relative to the corresponding points on ΔXYZ
2) Given that triangle ΔXYZ and ΔX'Y'Z' are not rotated or reflected, we have that the corresponding sides of ΔXYZ and ΔX'Y'Z' are parallel
The correct options are therefore option "C" and and the option "B" is only partially correct because the sides can be parallel but do not have the same size.
Please explain and show details I’ll give 50 points
Answer:
1) $575
2) They'll markup the price by $3,240. After the markup, the retail price is $15,240
Step-by-step explanation:
1)
6% = 0.06
3750(0.06) = 225
225 + 350 = 575
2)
27% = 0.27
12000(0.27) = 3240
Profit = 3240
Price for retailer = Cost Price + Profit
Price for retailer = 12000 + 3240
Price for retailer = 15,240