Answer:
Step-by-step explanation:
Since, zeros of the relation are 5, 6 and y-intercept is (0, 30).
Therefore, equation of the quadratic relation will be in the form of,
y = a(x - 5)(x - 6)
For (0, 30),
30 = a(0 - 5)(0 - 6)
30 = 30a
a = 1
Therefore, equation will be,
y = (x - 5)(x - 6)
y = x² - 11x + 30
y = x²- 2(5.5)x + (5.5)² - (5.5)² + 30
y = (x - 5.5)²+ 30 - 30.25
y = (x - 5.5)² - 0.25 [Standard form}
b). Vertex → (-4, -7) and passes through a point (-2, 1)
Vertex form or standard equation of the quadratic relation is,
y = a(x - h)² + k
Here, (h, k) is the vertex
Therefore, equation will be,
y = a(x + 4)² - 7
Since, (-2, 1) lies on this relation
1 = a(-2 + 4)² - 7
a(2)²- 7 = 1
4a = 8
a = 2
Equation will be,
y = 2(x + 4)²- 7
what is the area of a rectangle whose length is (2x-1) cm and whose width is (X+2) cm?
help.
Answer:
2x^2 + 3x - 2
Step-by-step explanation:
=> area of rectangle = length*width
=> length = (2x -1)
=> width = (x + 2)
=> area = (2x - 1) (x + 2)
=> area= 2x(x + 2) - 1(x + 2)
=> area = 2x^2 + 4x - 1x - 2
=> area = 2x^2 + 3x - 2
hope it helps
What are the solutions to the equation y^2-1 = 80?
Answer:
y^2-1=80
y^2=81
y = positive and negative 9
y2−1=80
Step 1: Add 1 to both sides.
y2−1+1=80+1
y2=81
Step 2: Take square root.
y=±√81
y=9 or y=−9
Answer:
y=9 or y=−9
Which value for w makes the equation TRUE? − 8 w + 2 = 3
A. -1/2
B. -1/8
C. 8
D. 9
Answer:
B. -1/8
Step-by-step explanation:
A. -8(-1/2) + 2 = 6 (incorrect answer)
B. -8(-1/8) +2 = 3 (correct answer)
C. -8(8) + 2 = -62 (incorrect answer)
D. -8(9) + 2 = -70 (incorrect answer)
I hope this helps :)
Solve.
-5p + 28= 13
p =
Answer:
3?
Step-by-step explanation:
Answer:
p=3
Step-by-step explanation:
-28 on both sides. should come up with this:
-5p = -15
now divide 5 with both sides. should come up with this
p=3
then youre done!!! hope this helps have a good day :)
find the difference between (14-3x) and (-9x+7)
Answer:
Step-by-step explanation:
The difference between 14 - 3x and - 9x + 7 is
= 14 - 3x - ( - 9x + 7)
= 14 - 3x + 9x - 7
= 6x + 7
hope it helps :)
can you help me with this please
Answer:
a) y = 2 x - 1
b) y = - x + 7
c) y = 7 x + 2
Step-by-step explanation:
Use a pair of (x1, y1) and (x2, y2) points to find the equation of the line for each tables:
a) (5, 9) and (10, 19)
slope: (y2 - y1) / (x2 - x1) = (19 - 9) / (10 - 5) = 10 / 5 = 2
Then y = 2 x + b
solve for b in: 9 = 2 (5) + b
b = 9 - 10 = -1
Then y = 2 x - 1
b) (2, 5) and (5, 2)
slope: (y2 - y1) / (x2 - x1) = (2 - 5) / (5 - 2) = -3 / 3 = -1
Then y = - x + b
solve for b in: 5 = - (2) + b
b = 5 + 2 = 7
Then y = - x + 7
c) (3, 23) and (6, 44)
slope: (y2 - y1) / (x2 - x1) = (44 - 23) / (6 - 3) = 21 / 3 = 7
Then y = 7 x + b
solve for b in: 23 = 7 (3) + b
b = 23 - 21 = 2
Then y = 7 x + 2
Determine whether the following statement is true or false.
The graph of f(x) = (x + 2)2 + 4 has its vertex at (2,4).
Choose the correct answer below.
O True
0 False
Answer:
Step-by-step explanation:
No it doesn't. When you get stuck on a question like this one, you should go to Desmos and graph the equation. I've done that for you.
Correctly stated the equation should read f(x) = (x + 2)^2 + 4
As you can see from the graph the vertex is at -2,4. To find the x value of the vertex, create a small equation
x + 2 = 0
x = - 2
That will turn what is inside the brackets into 0. The value for x is always what will turn (x + a) to zero.
Margie wants to collect 3600 cans of food to donate to the community food bank.She plans to collect equal number of can for 4 months how many cans she should collect
Answer:
If its per month then its 900
Step-by-step explanation:
3600/4 = 900
900*4 = 3600
A rectangular room must have a perimeter of 20 feet and an area of at least 20 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
A rectangular room must have a perimeter of 20 feet and an area of at least 20 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot
------------
L + W = 10 --> W = 10 - L
---
L*W >= 20
----
Solve L*W = 20
L*(10 - L) = 20
-L^2 + 10L - 20 = 0
Calculate 18% tip on a 6250 dinner bill
Answer the photo below
Answer in detail
TY
HELP. NEED NOW. WILL MARK BRAINLIEST.
Use the method of completing the square to transform the quadratic equation into the equation form (x+p)^2.
-6x^2+-6x+12=0
Answer:x=1 or x=−2
Step-by-step explanation:
PLEASE HELP!! Which of the following are considered skew lines?
A- AC and CD
B- DH and BF
C- EG and FH
D- AE and GH
Answer:
A
Step-by-step explanation:
Hope this helps hope you get it right
0.6 + 15 b + 4 = 25.6.
Answer:
0.6 + 15b + 4 = 25.6
15b +4 = 25
15b = 25 - 4
15b = 21
b = 21/15
b = 7/5
hope it helps
Answer:
Exact Form:
b=7/5
For which value of theta is sine theta = negative 1?
A unit circle is shown. A radius with length 1 forms angle theta in the first quadrant.
StartFraction pi Over 2 EndFraction
Pi
StartFraction 3 pi Over 2 EndFraction
2 pi
Answer:
1) 270 degrees
2) pi/4 rad
Step-by-step explanation:
1.) For which value of theta is sine theta = negative 1?
Given
sintheta = -1
theta = arcsin(-1)
theta = -90degrees
Since sin is negative in the third and 4th quadrant
In the third quadrant, theta = 180 + 90 = 270degrees
In the fourth quadrant, theta = 360 - 90 = 270 degrees
Hence the required value of theta is 270degrees
2) Given the radius of the circle to be 1, the y axis value will also be 1 units
Opposite = 1
adjacent = 1
hyp = √1²+1²
hyp = √2
sin theta = opp/hyp
sin theta = 1/√2
theta = arccsin(1/√2)
theta = 45 degrees
Express in radians
45 degrees = pi/4 radians
Hence the required angle in the first quadrant is pi/4 rad
Answer:
3pi/2
Step-by-step explanation:
that is only one that makes sine negative. others make it 0 or positive
The figure below shows an upside-down pyramid with a square base.
Which shape does the intersection of the horizontal plane with the pyramid look like?
Answer:
B
Step-by-step explanation:
A square pyramid is one with a square base. The correct option is B.
What is a square pyramid?A square pyramid is one with a square base. It is a right square pyramid with C4v symmetry if the top is perpendicular to the centre of the square. It is an equilateral square pyramid if all edge lengths are equal.
The place at which the up-side down pyramid will intersect with the plane will be a square.
Hence, the correct option is B.
The complete question is:
If a vertical plane cuts through a square pyramid down from the vertex, which of the following best describes the shape of the cross-section?
A. Pentagon
B. Square
C. Rectangle
D. Triangle
Learn more about Square Pyramid:
https://brainly.com/question/15219357
#SPJ2
Which of the following fractions is equivalent to 3/8
️ 6/14
️9/24
©️4/9
R 15/35
plzzz help I'm on a test I'll give u brainliest
Answer:
9/24
Step-by-step explanation:
This is because when we multiply 3/8 with 3 in both numerator and denominator we get,
[tex] \frac{3 \times 3}{8 \times 3} = \frac{9}{24} [/tex]
Hence, 9/24 is required answer.
Answer:
9/24
Step-by-step explanation:
Fraction Equivalent Fractions
3/8 6/16 9/24
A train travels 1 kilometre in 1 minute 20 seconds. Picture of steam train Question prompt At this rate, how many kilometres will the train travel in 1 hour?
Answer:
45km
Step-by-step explanation:
Distance covered in 1min 20sec (80sec) = 1km
Distance covered in 1 min (60sec) = 1km/80sec
Distance covered in 1Hr (3600sec) = (1/80)*3600 = 45km.
3w-1 divided by 3 minus 2w+1 divided by 3 =1
Answer:
w = 5
Step-by-step explanation:
(3w - 1) ÷ 3 - (2w + 1) ÷ 3 = 1
(Graph, just switch w to x)
Answer:
higkygbjoknmmnnnbv
What is the vortex of the quadratic function fox (x-8)(x-2)?
Answer:
Vertex is (5,-9)
Step-by-step explanation:
Answer: The vertex is (5,-9).
Step-by-step explanation:
answer in scientific notation.
4,672,000
Answer:
4.672 × 10⁶
Step-by-step explanation:
Find the volume and explain your answer round to the nearest tenth!!
PLS HELP ASAP! GIVING BRAINLIST!
The perimeter of a regular hexagon is 24x + 48. Which expression below can represent the
length of one side?
А 3x + 6
B 6x + 12
c 4x + 8
D 8x + 16
Answer:
I believe it would be D, sorry if I didn't get it right!
Step-by-step explanation:
Without solving what can you tell about the solution
Answer:
n has to be negative
13. Tikboy earns P 320 a day. This is 4% of her monthly income. How much is her monthly incom
a. 800
b. 80
c. 8,000
d 80,000
Answer:
b is the answer okkkkkkkkkkkkkkkk
nb vjdbucvbdevohdbvhdqvhknabvjdnam
Amanda's computer weighs 56 ounces. How many pounds does it weigh? Amanda's computer weighs______pounds. What is the answer ?
Answer:
Amanda's computer weighs 3.5 pounds
Step-by-step explanation:
will mark brainliest and rate 5/5
B OR D IT WAS confusing.
Step-by-step explanation:
I tried different equations multiple ways I'm pretty sure I did it wrong
Answer:
Here, hope that answers your question
AGAIN SORRY BUT PLS HELP WILL MARK YOU BRAINLIEST AND GIVE 5 STARS IF UR RIGHT!
Answer:
Scale factor=8
Step-by-step explanation:
height =(64/8=8)
Length (40/5=8)
Hope this helps ;)
Answer:
Scale Factor: 1/8
Step-by-step explanation:
8/64 simplified (divided by 8) = 1/8
5/40 simplified (divided by 5) = 1/8