Answer:
The general equation of the parabola y = -3 x² + x
Step-by-step explanation:
Step(i):-
Given points are (0,0) , (1, -2) and ( -1 , -4 )
Given the standard parabola
y = ax²+ b x + c ...(i)
Passing through the point (0,0)
c = 0
Passing through the point (1,-2)
-2 = a(1) +b(1)
a + b = -2 ...(ii)
Passing through the point (-1, -4)
- 4 = a - b
a - b = -4 ...(iii)
Step(ii):-
Adding (ii) and (iii) equations , we get
2 a = -6
a = - 3
substitute a = - 3 in equation (ii)
-3 + b =-2
b = -2 + 3 = 1
Final answer:-
The general equation of the parabola
y = ax²+ b x + c
y = -3 x² + x + 0
y = -3 x² + x
Put these expressions in order of size, from smallest to larg-
est, when a = 3 and b = 5.
46
3
2a + 3b
Answer:
that hiw you do it .hope it helps
ask me if you don't understand something
Step-by-step explanation:
thankyou...
Catty Couture is a company that make designer socks for cats.
134 cats are waiting for their socks to be made.
How many socks is this in total?
Answer:
536
Step-by-step explanation:
4 paws on each cat, multiply by the amount of cats = 536
What is the solution to the system of equations? 3x - 4y = 22 -9x + 4y = 38
Answer:
[tex]3x - 4y = 22 - - - - (i) \\ - 9x + 4y = 38 - - - - (ii) \\ from \: (i) \\ 4y = 3x - 22 - - - - (iii)\\ substitute \: for \: 4y \: in \: (ii) \\ - 9x + (3x - 22) = 38 \\ ( - 9 + 3)x = 38 + 22 \\ - 6x = 60 \\ x = \frac{60}{ - 6} \\ x = - 10 \\ \\ substitute \: for \: x \: in \: (iii) \\ 4y = (3 \times - 10) - 22 \\ 4y = - 30 - 22 \\ 4y = - 52 \\ y = \frac{ - 52}{4} \\ y = - 13[/tex]
The graph of an equation drawn through which two points would best represent the
relationship between the number of miles and the cost of the trip?
Plis helppp
Answer:
The answer is A
Explanation:
I just took this quiz.
WILL GIVE BRAINLIEST!!!
What is the approximate average rate of change for f(x) = 20(0.5) from
x = 2 to x = 2?
Answer:
It is: (f(2) - f(0))/(2 - 0)
f(2) = 250(0.5)(2) = 250
f(0) = 250 (0.5)(0) = 0
So: (250 - 0)/(2 - 0) = 250/2 = 175
The average rate of change is 175.
Step-by-step explanation:
I need help! I will mark brainliest if correct, am I correct
Answer:
i think you are correct.
Step-by-step explanation:
Mom buys a rectangular rug with an area of LaTeX: 7\frac{1}{6}7 1 6 square meters. The length of the rug is LaTeX: 3\frac{1}{3}3 1 3 meters. What is the width of the rug?
Answer:
2 3/20 metres
Step-by-step explanation:
Area of the rug = Length × width
Given
Area = 7 1/6 metres = 43/6 m
Length = 3 1/3 metres = 10/3 m
Required
Width
From the formula
A = LW
W = A/L
Substitute the given values
W = 43/6÷10/3
W = 43/6×3/10
W = 43/2 ×1/10
W = 43/20
W = 2 3/20 m
Hence the width of the rug is 2 3/20 metres
Answer:
32
Step-by-step explanation:
7 x 6 is 32 so u get that
this table represents a function. plot points to represent the function as a graph. x. -4 , -1, 0, 2. y. 9, 3, 1, -3
Answer:
-4,9
Step-by-step explanation:
(its kind of confusing but i will try my best to help) i get that anwser from the x cordinate -4 and y coordinate 9
hi can you guys help with this ? thx
Answer:
a) 13%
b) 45%
c) 16%
Step-by-step explanation:
To calculate what percentage is one number (a) of another (b), you have to divide a by b and then multiply result by 100. In this case number of students with grade A is 4, total number of students is 31, therefore 4/31 * 100 = 12.9%. Rounding it to the nearest percentage will give you 13.
Just repeat the same steps for the remaning questions.
If the population in Charleston, SC grew exponentially from 90,620 people in 1990 to 120,083 people in 2010. Write a function to model Charleston's population from 1990 to 2010 assuming the population grew at a constant growth rate during that time period where P (population) is a function of time, t, (where t represents t).
What is the rate?
Terry drove 228 miles in 6 hours at a constant speed. How long would it take him to drive 285 miles at the same speed?
Answer:
7.5 hours
228 ÷ 6
38 × 7.5 = 285
please help me i need help quick plz
Answer:
Step-by-step explanation:
L is 11
H is 48
Q2 = (32 + 33) / 2 = 32.5
Q1 is 23
Q3 is 46
2) The distribution is skewed right
hope this helps :)
help me, please............
Answer:
reflected over the y axis
A prism has a height of 5 inches and a volume of 80 cubic inches.
Select all figures that could be the base for this prism.
O a square with side length 4 inches
O a 2 inch by 8 inch rectangle
O a circle with radius 2 inches
O a right triangle with legs 4 inches long
O a heart-shaped base with an area of 16 square inches
Answer: a square with side length 4 inches
a 2 inch by 8 inch rectangle
a heart-shaped base with an area of 16 square inches
Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.
For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
(2.257)² ≈ 5.093
5.093 × 3.1416 ≈ 16
16 × 5 = 80
The base for this prism should be like
a square with side length 4 inches.
a 2 inch by 8 inch rectangle.
a heart-shaped base with an area of 16 square inches.
Could be the base for the prism:Since
The given height is 5.
Any base with an area of 16 square inches should be considered as an acceptable base.
Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
So, it be like
(2.257)² ≈ 5.093
Now
5.093 ( 3.1416) ≈ 16
16 ( 5) = 80
Learn more about prism here; https://brainly.com/question/24606047
what's 5x5800000000000000000000000000 help
Step-by-step explanation:
so why you are asking?????
Mark: 1.00
The volume of a cuboid is 140 cm
The area of its base is 88 cm2. Then
its height is
5cm
6 cm
8 cm
7 cm
Volume of cuboid =l×b×h
area of base of the cuboid =l×b
hence
volume of cuboid is = area of base × height
140=88×h
h=140÷88
h=5
on day 1 a patient measures 5 feet and 11 inches tall. after 4 days of stretching the patient measures 5 feet and 11 inches tall. What is the slope and is it negative or positive?
Answer:
slope is zero
Step-by-step explanation:
zero slope is neither positive or negative; it indicates no change whatsoever
Each box is 20 inches long, 30 inches wide, and 20 1/2 inches in hieght.
What is the volume of the box?
Answer:
Volume = 12,300
Step-by-step explanation:
20 x 30 = 600
600 x 20.5 =12300
Answer:
Volume of the box is length ×breadth×height
[tex]20 \times 30 \times 20 \frac{1}{2} \\ = 600 \times \frac{41}{2} \\ = 12300[/tex]
12300 inches cube is the right answer.ABC is a triangle.
B
х
5.6 cm
9.3 cm
50°
Α'
78°
D
С
Work out angle x.
Give your answer correct to 3 significant figures.
Answer: 50.5
Step-by-step explanation:
If it’s mathswatch you don’t need an explanation just type in the answer it gives you all the marks <3
The value of the angle,x=50.531°. The angle is obtained by the sin law.
What is the triangle?A triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
From the sin rule;
[tex]\rm \frac{AB}{sin \angle ACB} =\frac{BC}{sin \angle BAC} \\\\ \rm \frac{5.6}{sin \angle ACB} =\frac{9.3}{sin \angle 50^0} \\\\ \angle ACB=27.49^0[/tex]
For the same angles;
[tex]\rm \angle ACB=\angle BCD[/tex]
From the exterior angle theorm ;
[tex]\rm \angle BCD+\angle CBD= \angle ADB[/tex]
∠CBD=x
∠ABD=78°
Putting the obtained values;
27.469°+x=78°
x=78°-27.469°
x=50.531°
Hence,the value of the angle,x=50.531°.
To learn more about triangle refer;
https://brainly.com/question/25813512
#SPJ2
Find the intercept
5x+3y=15
X-intercept:
Y-intercept:
Answer:
X: x=3-3/5y
Y: y=5-5/3x
Step-by-step explanation:
For X:
-3y on both sides will result in:
5x=15-3y
5x/5=15/5-3y/5 (divide 5 on both sides)
x=3-3/5y
For Y:
-5x on both sides will result in:
3y=15/3-5x/3 (divide 3 on both sides)
y=5-5/3x
please mark brainliest
Which inequality is represented by the graph?
t > -2
t < -2
t ≤ -2
t ≥ -2
Answer:
t > -2
Step-by-step explanation:
Since the graph is not continuous at -2, thus it is not included!
please help me please will give brainliest to anyone who is good
Answer:
C
Step-by-step explanation:
N = st
Number of toothpicks = (number of students) x (toothpicks)
D.
Step by step explanationWhat is the vertex of the function f(x) = 2+3x+ 3/2
Answer:
0=2+3x+3/2
0=7/2+3x
-3x=7/2
divide by -3 on both sides
x=-7/6
hope this helps
Step-by-step explanation:
Simplify: 4(x+10) -30 + 6x
Answer:
10x+10
Step-by-step explanation:
distrubute 4(x+10)-30+6
subctract 4x+40-30+6
combine 10x+10
14/25/7/60 + 6/5 =
Please help me
Fast!
Answer:
It's 6 in scientific calculator
Step-by-step explanation:
Hope it helps bye have a good day!
Answer: 1.20133333333 repeatedly
simplify 1/2 (4x+2) - (-2x)
Answer:
4x + 1 is the simplified expression
Step-by-step explanation:
We have to use order of operations in order to solve. We basically need to simplify it with multiplication and addition.
The first step involves mulitplication and distribution property:
1) Do 1/2(4x + 2). If you use distribution property, it would be 1/2(4x) + 1/2(2)
2) Then use multiplication 1/2(4x) is 2x (since 4 multiplied by 1/2 is 2) and 1/2(2) is 1 (since 1/2 times 2 is 1).
Bow the expression is almost simplified as it is:
2x + 1 -(-2x)
The 2nd stop involves addition. First we have to know what -(-2x) means. Think of the negative sign on the outside as -1. This way it would be:
3) -1(-2x), and then do -1(-2) which is 2 since a negative times a negative is positive.
4) Now we know that -(-2x) is the same as: + 2x.
5) So the expression would be 2x + 1 + 2x. Combine like terms ( 2x and 2x) and you will get 4x + 1.
Hope you understood this and have a nice day!
if 3x - 6.59 = 11.41 what is the value of x
Answer: x = 6
Step-by-step explanation:
3x - 6.59 = 11.41
Add 6.59 to both sides
3x = 18
Divide both sides by 3
x = 6
Hope that helped!
Answer:
I have the same question,
Step-by-step explanation:
☆pls help no one has helped me and I'm so confused!
Answer:
Step-by-step explanation:
a). [tex]\frac{5\pm\sqrt{-4}}{3}[/tex] = [tex]\frac{5}{3}\pm \frac{\sqrt{-4}}{3}[/tex]
= [tex]\frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}[/tex]
= [tex]\frac{5}{3}\pm\frac{2i}{3}[/tex] [Since, i = [tex]\sqrt{(-1)}[/tex]]
b). [tex]\frac{10\pm\sqrt{-16}}{2}[/tex] = [tex]\frac{10}{2}\pm \frac{\sqrt{-16}}{2}[/tex]
= [tex]5\pm \frac{4\sqrt{-1}}{2}[/tex]
= 5 ± 2i [Since, i = [tex]\sqrt{(-1)}[/tex]]
c). [tex]\frac{-3\pm \sqrt{-144}}{6}[/tex] = [tex]-\frac{3}{6}\pm \frac{\sqrt{-144}}{6}[/tex]
= [tex]-\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}[/tex]
= [tex]-\frac{1}{2}\pm 2\sqrt{-1}[/tex]
= [tex]-\frac{1}{2}\pm 2i[/tex] [Since, i = [tex]\sqrt{(-1)}[/tex]]
What is –2 5/12 written as a decimal?
What are the Slope and y- Intercept of the graph y= -4x - 5
Answer:
slope: -4, y intercept: (0, -5)
Step-by-step explanation: