Step-by-step explanation:
the function is
x² - 10x + 9
the x value for the axis of symmetry of a quadratic equation is
ax² + bx + c
x = -b/(2a)
in our case
a = 1
b = -10
x = - -10/2 = 10/2 = 5
x=5 is the axis of symmetry.
for the vertex we need also the y :
y = 5² - 10×5 + 9 = 25 - 50 + 9 = -16
the vertex is
(5, -16)
A wedding ring costs £13000. Work out the price after a 11% price increase
Answer:
Step-by-step explanation:
Increased price = 11% of £ 13000
= 0.11 * 13000
= 1430
Price after increase = 13000 + 1430 = £ 14,430
What's the present value of $9,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually?
Answer:
$427.50
Step-by-step explanation:
I think this is the answer because 4.5 percent of $9,500 is $427.50
The value of Y varies jointly with x and z, and Y=60 when x=3 and z=5. find the equation that represents this relationship
Need help with this 3 questions
Answer:
68. (-1, 0)
69. (0, 2)
70. (2, -1)
Step-by-step explanation:
The solution is the ordered pair (x, y) where the lines intersect. The graphs have no scale, so we must assume 1 grid space corresponds to 1 unit.
The first coordinate of the pair is the horizontal distance from the y-axis. Positive is to the right. The second coordinate of the pair is the vertical distance from the x-axis. Positive is up.
68. The point of intersection is 2 left of the origin on the x-axis. x=-2, y = 0.
(x, y) = (-2, 0)
__
69. The point of intersection is 2 up from the origin on the y-axis: y = 2, x = 0.
(x, y) = (0, 2)
__
70. The point of intersection is 2 right and 1 down from the origin: x = 2, y = -1.
(x, y) = (2, -1)
_____
It is a good idea to learn to read the coordinates of a point from a graph. You will be doing it a lot in your math courses.
-5a - 2.2 <17.8? Solve for a
Answer:
To solve for the value of a, you have to isolate “a“ on one side.
-5a - 2.2 < 17.8
Add 2.2 to both sides.
-5a < 20
Divide both sides by -5. Note: when you are dividing by a negative number, the direction of the sign switches.
a > -4
:)
[tex] \frac{dh}{dt} = - \sqrt{5h} [/tex]
Determine
[tex] \frac{ {d}^{2}h }{d {t}^{2} } [/tex]
at h=16
I have attempted this and keep on getting about -0.28, but that is not an option.
If
[tex]\dfrac{dh}{dt} = -\sqrt{5h} = -\sqrt{5} \cdot h^{\frac12}[/tex]
then its derivative, using the power rule, is
[tex]\dfrac{d^2h}{dt^2} = -\sqrt{5} \cdot \dfrac12 h^{1-\frac12} = -\dfrac{\sqrt5}2 h^{-\frac12} = -\dfrac{\sqrt5}{2\sqrt h} = -\sqrt{\dfrac{5}{4h}}[/tex]
At h = 16, the second derivative has a value of
[tex]-\sqrt{\dfrac{5}{4\cdot16}} = -\sqrt{\dfrac{5}{64}} = -\dfrac{\sqrt5}{8} \approx -0.279508[/tex]
Your answer is essentially correct. Either what you submitted doesn't have enough precision or you're expected to give an exact answer (-√5/8).
Help me please
Using table determine equation for the table
Answer:
slope = 0.06
cost of plan = $45.44
Step-by-step explanation:
cost of plan*
Julie has 300ml of juice, She gives of the juice away.
How much juice does she give away?
Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.
Step-by-step explanation:
Simplify square root of negative 64
Answer:
8 i
Step-by-step explanation:
Answer:
8 i
Step-by-step explanation:
for sure not 8 because i got it wrong on the test
Sally can paint a room in 4hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together.
It would take ___ hours.
(Type an integer of decimal rounded to one decimal place as needed)
Answer:It would take 1.700 hours.
Step-by-step explanation:
Answer:
Step-by-step explanation: then it would be 7 or 9 hours
PLS HELPPPPPP NOWEW!!!!
Answer:
nasaan ung question ha how
Find the area of the shaded region. Round your answer to the nearest hundredth.
12=side length
The area of the shaded region is about — square units.
How do you find the area of the shaded region? Thank you!
Answer:
Step-by-step explanation:
Divide 360 by the number of sides in a regular polygon to find θ
θ = 360/5 = 72°
Use law of cosines to find the radius of the circle which equals the common length sides of the isosceles triangle
12² = R² + R² - 2•R•Rcos72
12² = 2R² - 2R²cos72
12² = 2R²(1 - cos72)
R² = 12² / 2(1 - cos72)
R² = 104.1993788...
R = 10.2078...
The height of the isosceles triangle is
h = Rcos(θ/2) = 10.2078cos(72/2) = 8.258291...
The shaded area is the area of the circle minus the area of the pentagon.
A = π(104.1993) - 5(½(12)(8.258291))
A = 327.35200... - 247.74874...
A = 79.6032575...
A = 79.60 units²
The Area of the shaded region is A = 79.60 units²
What is law of Cosine?A planar triangle's side's square is equal to the sum of the squares of the other sides minus the product of those sides and the cosine of the angle that separates them by two.
Given:
length= 12
So, Divide 360 by the number of sides in a regular polygon
θ = 360/5
θ = 72°
Use law of cosines
12² = R² + R² - 2 x R x Rcos72
12² = 2R² - 2R² cos72
12² = 2R²(1 - cos72)
R² = 12² / 2(1 - cos72)
R² = 104.1993788...
R = 10.2078...
Thus, the height of the isosceles triangle is
h = R cos(θ/2)
= 10.2078cos(72/2)
= 8.258291...
and, the shaded area is
A = π(104.1993) - 5(½)(12)(8.258291))
A = 327.35200 - 247.74874
A = 79.6032575
A = 79.60 units²
Learn more about Law of Cosine here:
https://brainly.com/question/17289163
#SPJ2
if A:B=1/2:1/3, and B:C is 1/2:1/3, what is A:B:C?
(a) 2:3:3
(b) 1:2:6
(c) 3:2:6
(d) 9:2:4
Answer:
Step-by-step explanation:
C)3:2:6
Mikayla borrowed $ 40 from her mom . The function y = - 8x + 401 represents her outstanding balance y after x weekly payments, find the zero of the function.
Answer:
[tex]\frac{401}{8}[/tex]
Step-by-step explanation:
[tex]\sf{y\:can\:also\:be\:refered\:to\:as\:f(x)}[/tex]
[tex]\sf{Zeros\: are\: also\: called\: roots.}[/tex]
The roots (zeros) are the [tex]x[/tex] values where the graph intersects the [tex]x[/tex]-axis. To find the roots (zeros), replace [tex]y[/tex] with 0 and solve for [tex]x[/tex].
[tex]y = - 8x + 401\\\\0 = - 8x + 401\\[/tex]
[tex]-8x+401=0\\\\-8x+401-401=0-401\\\\-8x=-401\\\\\frac{-8x}{-8}=\frac{-401}{-8}\\\\x=\frac{401}{8}[/tex]
[tex]\sf{Therefore,\: the\: zero\: of\: this\: function\: is\: \frac{401}{8}[/tex]
This population chart represents linear or exponential growth?
•linear
•exponential
This is Linear graph.
Linear graph is represented in the form of a straight line. ... If the graph of any relation gives a single straight line then it is known as a linear graph. The word "linear" stands for a straight line. The linear graph is a straight line graph that is drawn on a plane connecting the points plotted on x and y coordinates.
- BRAINLIEST answerer
ANSWER!!! now please
Answer:
C) 85.0º
Step-by-step explanation:
a+2a+a+10=180
3a+10=180
3a=180-10
3a=170
a=42.5
a+10=52.5
2a=85
Answer:
B
Step-by-step explanation:
Help me with this answer please
Answer:
There is 8 blue sweets and 4 red sweets.
Step-by-step explanation:
There is only blue and red sweets.
There is 12 sweets in total.
There is two times as many blue sweets as red sweets
There is 8 blue sweets and 4 red sweets.
⅜, ¼, ⅞ order in rational numbers
Answer:
7/8>3/8>1/4
Step-by-step explanation:
because 7/8=0.875
3/8=0.375
1/4=0.25
Find the value of the following expression:
(28 ⋅ 5−5 ⋅ 190)−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228 (5 points)
Write your answer in simplified form. Show all of your steps. (5 points)
Answer:
25
Step-by-step explanation:
Answer:
5^2 = 25
Step-by-step explanation:
A recipe calls for 1 1/2 teaspoons of cinnamon to make 2 dozen oatmeal cookies.
How many teaspoons of cinnamon are needed to make 60 oatmeal cookies?
please help
3 3/4
I need to type more, this is just filler. Ignore it.
what is 20/10 as a whole number
Hi there!
The answer is 2
If you divide 20 by 10, you will get 2 (it's a fact)
Hope it helps
~Just a joyous teen
#CarryOnLearning
Answered by
[tex]-SilentNature-[/tex]
A hiker is at an elevation of 238 feet above sea level. He climbs downward until his elevation has decreased by 144 ft. Which expression can be used to determine his current elevation above sea level?
Answer:
Based on the given conditions, formulate:
238
−
144
Calculate the sum or difference:
94
get the result:
94
Answer: Step-by-step explanation:
Evaluate 4 + 2(x + 6)2 for x = -3. A. 18 B. 12 C. 22 D. 54
B
dont trust me on this i solved it but i got a completely different answer which is not on the list. I got 6 as the answer.
Hello can someone help me please
9514 1404 393
Answer:
C(3, -2)
D(1, 7)
Step-by-step explanation:
It looks like your tool will do the rotation for you and give you the coordinates. The image(s) should look like the attached.
So my math teacher is the type that if you don’t show your work you don’t get credit and well I for my work paper at home and she’s strict so I’m not sure what to say tomorrow to her since she also my home room teacher… does anyone have any excuse I could use that would work on her?
Please look at the picture for question.
Answer:
j = 6
Step-by-step explanation:
(5 + 3)6 = 48
(8)6 = 48
48 = 48
The volume of a gas in cubic centimeters, V, varies inversely with the
pressure of the gas in liters per square centimeter, p.
When the volume of the gas is 16 cm, its pressure is 20 L/cm2. Find the
volume of the gas when the pressure is 2.5 L/cm2
A. 322.5 cm
B. 800 cm3
C. 128 cm3
D. 0.008 cm
Answer:
C. 128 cm³
Step-by-step explanation:
16(20) = 320
320/2.5 = 128 cm³
At a restaurant, the bill comes to $75. You decide to leave a 15% tip. What is the total amount you will owe for dinner and tip?
Answer:
75*.15=11.25 (tip amount)
75+11.25= $86.25 (total amount)
The question in the image! Please hurry :D
Answer:
8.85 * 10 ^17
Step-by-step explanation:
8.2 * 10 ^17 + 6.5 * 10 ^16
They must be to the same power to add
8.2 * 10 ^17 + .65 * 10 ^17
Add
8.85 * 10 ^17
Write the equation of the line that passes through the points (8,3) and (7,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
Step-by-step explanation:
the equation :
(y-3)/(3-3) = (x-8) /(7-8)
(y-3) /0 = (x-8) /(-1)
(-1)(y-3) = 0(x-8)
-y +3 = 0
y = 3
(this is a horizontal line)
Answer:
y = 3 (Horizontal line)
Step-by-step explanation:
point: (8, 3) and (7, 3)
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y - 3)/(3 - 3) = (x - 8)/(7 - 8)
(y - 3)/0 = (x - 8)/(-1)
(-1)(y - 3) = 0
-y + 3 = 0
-y = - 3
y = 3 (Horizontal line)
