9514 1404 393
Answer:
y = 9x^2 -8x +9
Step-by-step explanation:
The given equation has derivative ...
y' = 2ax +b
The requirements on slope give rise to two equations:
2a(1) +b = 10
2a(-1) +b = -26
Adding these equations together gives ...
2b = -16 ⇒ b = -8
Then we have ...
2a -8 = 10
a = (10 +8)/2 = 9
__
The given point lets us find the constant term c.
y = 9x^2 -8x +c
c = y -(9x -8)x = 29 -(9(2) -8)(2) = 29 -20 = 9
The equation of the parabola is ...
y = 9x^2 -8x +9
On Saturday, the fruit and juice bar was selling 20 glasses of fruit punch an hour. By 7 p.m., they had sold 180 glasses. If their goal was to sell more than 240 glasses of fruit punch, find the number of hours, h, they must stay open past 7 p.m. to make their goal.
======================================================
Explanation:
h = number of hours past 7 pm
20h = the number of glasses sold after h hours
20h+180 = adding on the 180 glasses already sold
20h+180 > 240 is the inequality to set up
Let's solve for h
------------------
20h+180 > 240
20h > 240-180
20h > 60
h > 60/20
h > 3
They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.
The earliest that they can close is 11 pm (since 4+7 = 11).
--------------------
If h = 3, then
20h+180 = 20*3 + 180 = 240
meaning that they haven't reached their goal of getting over 240
So they have to stay open that extra hour to get past 240.
HELP pleaseee..!!!!!!!!!!!!!
Answer:
a) 9yd
b) 12ft
Step-by-step explanation:
a) find the square root
b) divide 48 by 4
2.A ball is pulled out of a bag on the first pick. Then, it
is replaced in the bag and another ball is picked out . Independent or dependent ?
Answer:
Independent
Step-by-step explanation:
Since the ball is replaces, the same number of balls and type of balls are in the bag. The draw is identical to the first draw so the draws are independent.
Pls help me I don’t understand this!!!!
Answer: D
Step-by-step explanation:
D The angle agacent to arc ML is half the degree. Your answer is 118
Answer:
D
Step-by-step explanation:
angle J is a circumference angle that insists on arc ML. the measure the angle of this arc is double of it
59 * 2 = 118 degrees
help ASAP ! it’s due soon
option
(c) is correct
Step-by-step explanation:
jsjsjd
Sarah uses 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries does she need to make one cup of jam
Answer:
1/12
Step-by-step explanation:
i belive this is the answer
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
Im not positive but its either c or d
Hi! can someone help?
Answer:
129
Step-by-step explanation:
[tex]\frac{5^{4} }{5} +4[/tex]
[tex]\frac{625 }{5} +4[/tex]
[tex]125 +4[/tex]
129
The area of a rectangle is 80 ft2. If the rectangle is 8 feet long, what is its width?
PLZ HELP DUE TODAY MARK BRAINLLEST AND GIVE 25 POINTS
Answer:
592 divided by 16=37
Answer:
592 divided by 16 is 37
3 boxes on top:
5 tens + 92 = 592
Step-by-step explanation:
:)
At what rate, in minutes per lap, does this swimmer swim?
Answer:
1.6
Step-by-step explanation:
all u gotta do is divide 6.4 by 4:)
hope that helps!<3
help
dhgdfdfyfyfgfgfjfgfghfhgfdhgdfh
Answer:
5=26
14=17
n=1
31n=31*1=31
Each row of the table represents a cone with a height of
9 inches and a different radius.
Is there a linear relationship between the radius and the
volume of these cones?
Here are your answers from the previous screen.
Yes
No
Radius (in.)
Volume (cubic in.)
1
91
2
361
3
8171
what is 3x+8 + 4x+10
7x+18-answer
Step-by-step explanation:
3
+
8
+
4
+
1
0
3x+8+4x+10
3x+8+4x+10
Simplify
1
Add the numbers
3
+
8
+
4
+
1
0
3x+{\color{#c92786}{8}}+4x+{\color{#c92786}{10}}
3x+8+4x+10
3
+
1
8
+
4
3x+{\color{#c92786}{18}}+4x
3x+18+4x
2
Combine like terms
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]3x + 8 + 4x + 10[/tex]
Bring the like terms together & add them.
[tex]3x + 8 + 4x + 10 \\ = 3x + 4x + 8 + 10 \\ = 7x + 18[/tex]
[tex]\underline{\textsf{\textbf{Answer = 7x + 18}}}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
╭═══════ღ❦ღ══╮
[tex]RainbowSalt2^{2}2^{2}[/tex]
╰══ღ❦ღ═══════╯
If f(x) = 5x² – 2x + 7 and g(x) = -2x2 +6x + 3
then f (x)-g(x) =
Answer:
7x² - 8x + 4
Step-by-step explanation:
f(x) - g(x)
= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis by - 1
= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms
= 7x² - 8x + 4
Measurement and Geometry
11. What would the total interior angles be for a 21 sided shape?
Answer:
sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°
Step-by-step explanation:
Answer: 3420 degrees
Explanation: You use the formula 180(n-2) with n = 21 to find the answer above.
Given that the area of the trapezoid is 55cm find x
Answer: The value of x is 13.
Step-by-step explanation:
Area of trapezoid = [tex]\dfrac{1}{2}\times\text{sum of parallel sides}\times\text{height}[/tex]
Here , Parallel sides = 9 cm , x cm
Height (Altitude ) = 5 cm
Area = 55 sq. cm
Substitute all values in the formula , we get
[tex]55=\dfrac12\times{(9+x)}\times5\\\\ \dfrac{2\times55}{5}=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13[/tex]
Hence, the value of x is 13.
i will give brainliest.
Answer:
speed
Step-by-step explanation:
The graphs of four quadratic equations are shown. Identify the number of real solutions of each equation by
dragging descriptions to each graph.
Answer:
1. 2 real solutions
2. no real solutions
3. 2 real solutions
4. 1 real solution
Step-by-step explanation:
The 'solution' to a quadratic equation means the x - intercepts of a graph, so how many times the parabola crosses the x-axis.
find the product (3n-4)(3n-4)
Answer:
9n-8 is the product
Answer:
Search Quickmath in Chrome and
all problem will solve... I hope it helps and trust me it works
(a) The diagram shows four angles around a point
1. Write down an equation in x and y
2. Simplify your equation
3.Find y when x=65°
Answer:
Step-by-step explanation:
The degrees around a point = 360, so
1. x + 95 + 3y + 80 = 360 so
2. x + 3y = 185
3. 65 + 3y = 185 and
3y = 120 so
y = 40
Answer:
y=40
Step-by-step explanation:
sum of all 3 angles : 240
3y+240=360
3y=360-240=120
y=3÷120
y=40
HELP HELP HELP HELP HELP
Answer:
C
Step-by-step explanation:
7x+ 11x=90
because the whole angle is
90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90
Answer:
option c is correct
Step-by-step explanation:
7x + 11x =90 degree (being perpendicular)
18x=90
x=90/18
x=5
(Trigonometry) The ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How many feet long is the ladder? Round your answer to the nearest whole number. (Hint: DRAW A PICTURE)
Find the surface area.
1 m
10 m
Answer:
[tex]A=69.11\ m^2[/tex]
Step-by-step explanation:
Given that,
The radius of cylinder, r = 1m
Height of the cylinder, h = 10 m
We need to find the surface area of the cylinder. The total surface area of a cylinder is given by :
[tex]A=2\pi r^2+2\pi rh\\\\A=2\pi r(r+h)[/tex]
Put all the values,
[tex]A=2\pi \times 1(1+10)\\\\=69.11\ m^2[/tex]
So, the surface area of the cylinder is equal to [tex]69.11\ m^2[/tex].
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1
Answer:
7x + 2y = 1
Step-by-step explanation:
First we find the slope m of the line
The slope of a line that passes through 2 points x1, y1 and x2 , y2 is given as
m = (y2 - y1)/(x2 - x1)
Considering the points (–3, 11) and K(1, –3), the slope of the line m
= (-3-11)/(1 --3)
= -14/4
= 7/2
the line JK may be given as
y - 11 = -7/2(x - -3)
multiply through the equation by 2
2y - 22 = -7(x + 3)
2y - 22 = -7x - 21
7x + 2y = 22 - 21
7x + 2y = 1
Answer:
B
Step-by-step explanation:
7x + 2y = 1
Which measure of center best represents the data?
8,8,7,8,8,8,1,8,8
Answer:
8
Step-by-step explanation:
The median is 8 since 8 is the most common number
PLEASE HELP ME !! I BEG
Answer:
d yr welcome
Step-by-step explanation:
Option 'B' is the correct option:
[tex]\frac{3^{3} }{4^{2} }=\frac{3*3*3}{4*4} =\frac{27}{16}[/tex]
a right triangle has legs of lengths 6 and 3, what is the length of the hypotenuse to the nearest tenth
Answer:
x = 6.7
Step-by-step explanation:
legs of a right triangle are 6,3 and hypotenuse be x
using pythagors theorem to find hypotenuse
a^2 + b^2 = c^2
6^2 + 3^3 = x^2
36 + 9 = x^2
45 = x^2
[tex]\sqrt{45} = x[/tex]
[tex]\sqrt{3*3*5} = x[/tex]
[tex]3\sqrt{5} = x[/tex]
6.70 =x
6.7 =x
pleaseeeee helppp meee!!!
Answer: 32x-48 should be your answer
Step-by-step explanation:
Answer:
32x - 48Step-by-step explanation:
-4(-8x + 12)
= -4 × (-8x) + (-4) × 12
= 32x + (-48)
= 32x - 48 (Ans)
What is the equation of a circle with center (7, 2) and radius 2?
Answer:
(x - 7)² + (y - 2)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (7, 2 ) and r = 2 , then
(x - 7)² + (y - 2)² = 2² , that is
(x - 7)² + (y - 2)² = 4 ← equation of circle