The graph of y= 3 + 2x -x is shown.
a) What are the coordinates of the turning point? I
b) What are the coordinates of the roots of the equation 3 + 2x - x = 0 ?
Answers
Answer:
Step-by-step explanation:
(1, 4)
(-1, 0), (3, 0)
The coordinate of the turning point is (1,4) and the coordinates of the roots are (-1,0) and (3,0)
How to determine the coordinate of the turning point?This is the vertex of the equation.
The equation is the given as:
y = 3 + 2x - x^2
According to the graph, the vertex is at the coordinate (1,4)
Hence, the coordinate of the turning point is (1,4)
How to determine the coordinate of the roots?The equation is the given as:
3 + 2x - x^2 = 0
According to the graph, the equation crosses the x-axis at (-1,0) and (3,0)
Hence, the coordinates of the roots are (-1,0) and (3,0)
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Related Questions
What is the 3rd root of 125
Answers
Answer:
its five
Step-by-step explanation:
Using the GCF, what is the factored form of 24v – 84?
3(8v – 28)
6(4v – 14)
12(2v – 7)
24(v – 60)
Answers
Answer: 2(3+x)(5-x)
Step-by-step explanation:
Answer:
2(3+x)(5-x)
Step-by-step explanation:
Graph the inequality y<4
Answers
Hi there!
Hope this helps!
y could be anything so I made it less than 4.
Does the point (–84, –82) satisfy the equation y = x + 2?
Answers
Answer:
It does satisfy the equation y=x+2
Step-by-step explanation:
To find if it satisfy the equation y=x+2 is by subsituting x with -84 and y with -82
-82=-84+2
2-84= -82
-82=-82 which is true so it satisfy the equation
Helpppppp I’ll mark you brainlist
Answers
Answer
GCF is 1 and the x is
Multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ... A common multiple is a whole number that is a shared multiple of each set of numbers. The multiples that are common to two or more numbers are called the common multiples of those numbers.
(02.02 MC) Triangle ABC is shown. A is at negative 2, 1. B is at negative 1, 4. C is at negative 4, 5. If triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees, where will point B' lie? (−1, 4) (1, −4) (4, −1) (−4, 1)
Answers
Answer:
(-1,4)
Step-by-step explanation:
Point B in the pre-image is at (-1,4).
If triangle ABC is reflected over the x‐axis, the y-coordinate changes to its negative value, thus we have the transformation:
Next, if the point (-1,-4) is reflected over the y‐axis, the x-coordinate changes to its negative, Thus, we have the transformation:
Finally, a rotation by 180 degrees will give the coordinates of B' as:
The point B' will lie in (-1, 4) [ the same place as B].
The coordinates of point B' are [tex](-1,4)[/tex]. So, the first option is correct.
Given:
The vertices of a triangle ABC are [tex]A(-2,1), B(-1,4)[/tex] and [tex]C(-4,5)[/tex].
Triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees.
To find:
The point B'.
Solution:
If a figure reflected over x-axis, then
[tex](x,y)\to (x,-y)[/tex]
[tex]B(-1,4)\to B_1(-1,-4)[/tex]
If a figure reflected over y-axis, then
[tex](x,y)\to (-x,y)[/tex]
[tex]B_1(-1,-4)\to B_2(-(-1),-4)[/tex]
[tex]B_1(-1,-4)\to B_2(1,-4)[/tex]
If a figure rotated 180 degrees about the origin, then
[tex](x,y)\to (-x,-y)[/tex]
[tex]B_2(1,-4)\to B'(-(1),-(-4))[/tex]
[tex]B_2(1,-4)\to B'(-1,4)[/tex]
So, the coordinates of point B' are [tex](-1,4)[/tex].
Therefore, the first option is correct.
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(X) 10.9.PS-7
Find the volume of the
triangular prism.
3.6 cm
9 cm
5.4 cm
The volume of the triangular prism is
3
cm
Answers
Answer:
9 cm because 69
Step-by-step explanation:
solve. 3x+4y=36y=-1/2x+8
Answers
Answer:
7.5
Step-by-step explanation:
3x+4y=36y=-1/2+8=
-5(-1.6z+2.4)+7.4z
Simplify the expression to create an equivalent expression.
Answers
Answer:
15.4z-12
Step-by-step explanation:
According to Synthetic division below, which of the following statements are true
Answers
Answer:
B, E, and F.
Step-by-step explanation:
We can apply synthetic division when dividing a polynomial P(x) by a binomial in the form (x - a).
Looking at the coefficients, we can see that our dividend is:
[tex]3x^2-11x+10[/tex]
Our divisor will be (x - a), where a is the number on the very top left.
So, a = 2.
Thus, our divisor is:
[tex](x-2)[/tex]
Note that our remainder is 0.
So, the synthetic division shown is telling us that:
[tex]( 3x^2 - 11x + 10) \div (x-2) = 3x - 5[/tex]
Hence, E is the correct choice. A uses the incorrect divisor.
If the divisor successfully divides with no remainder, then the divisor is a factor.
Since (x - 2) successfully divided with no remainder, (x - 2) is indeed a factor of the polynomial.
Hence, B is also correct.
C uses the wrong factor.
D uses the wrong value. It should be positive 2.
So, F is the correct choice.
Therefore, the answers are: B, E, and F.
Dale finished his English assignment in 1/3 hours . Then he completed his chemistry assignment in 1/2 hours . How much more time did dale spend on his chemistry assignment?
write your answer as a fraction in simplest form .
Answers
Answer:
1/6 hours
Step-by-step explanation:
Since it wants a fraction form all you have to do is subract 1/3 from 1/2
1/2 - 1/3
cross multiply:
3/2-2/3
subtract the numerator but multiply the denominator and simplify if you have to:
1/6
12
10. Find the value of x given ACAB – ADFE.
D
as
A
30
21
77
11x + 11
B
Answers
Answer
a
Step-by-step explanation:
A piece of wood is cut into three different sized pieces. The ratio of the three pieces is 4:5:6. If the actual length of the wood is 45 inches, then what is the length of the short side?
Answers
Answer:
12
Step-by-step explanation:
So 4:5:6 = 45
4+5+6 = 15
45/15 = 3
Since 4 is the smallest, 4*3 = 12.
Hope this works!
Answer:
Step-by-step explanation:
This is a question worth knowing how to do. It is prime candidate for a test question.
Equation
Let the unit be x
therefore
4x + 5x + 6x = 45
Solution
15x = 45
x = 45/15
x = 3
The shortest piece is 4*3 = 12
The middle piece = 5*3 = 15
The longest piece = 6*3 = 18
Total 45
Simplify, 4(x + 6) + 2 (3x- 5)
Answers
Answer:
10x + 14
Step-by-step explanation:
begin by distributing the numbers outside of your parentheses:
4x + 4(6) + 6x - 2(5)
4x + 24 + 6x -10
then just combine like terms:
4x + 6x + 24 - 10
10x + 14
Max has three pieces of oak trim that are 7 inches, 11 inches, and 18 inches long. He wants to use them to make a triangular base for a candleholder. Will the pieces make a triangle? Explain your answer.
Answers
Answer:
NoStep-by-step explanation:
Use triangle inequality theorem, which states
"The sum of the lengths of any two sides of a triangle is greater than the length of the third side."
The sum of two sides compared to the remaining side:
7 + 11 = 18 = 18 - not ok7 + 18 = 25 > 11 - ok11 + 18 = 29 > 7 - okThe sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.
Please tell me the surface area of a circle with a volume of 36 and please provide the formula.
Answers
Answer:
Step-by-step explanation:
volume of sphere = 4πr³/3 = 36π
r³ = 27
r = ∛27 = 3 ft³
surface area of sphere = 4πr² = 36π ft²
¿Qué es 0.4 como porcentaje?
a) 400%
b) 4%
c) 0.4%
d) 40%
Answers
Snowden has a new park designed to contain two circular gardens. Garden A has a diameter of
50 m, and garden B has a diameter of 70 m. If the gardener wants to fertilize the surface area
of both gardens, how much surface will he cover? (Write in terms of 3.14) 5
Answers
Answer:
5,809 m^2
Step-by-step explanation:
50/2=25 m
25^2 times 3.14=1,962.5 m^2
70/2=35 m
35^2 times 3.14=3,846.5 m^2
1,962.5+3,846.5=5,809 m^2
use the diagram below to help you find the volume of the figure when the length = 5, the width = 6, and the height = 10
please please help i will mark brainliest
Answers
Answer:
300
Step-by-step explanation:
5 times 6 is 30. 30 times 10 is 300. l times w times height. So 300 is the answer
Answer:
300
Step-by-step explanation:
The formula is length x width x height
So it would be 5 x 6 x 10 which equals 300! :)
x - 8 = 40 solve in word form
Answers
Answer: 48
Step-by-step explanation:
add 8 to both sides
-8 and 8 both cancel out and 40 and 8 add to 48
A local movie theater has an offer that for every seven movies you pay to go see, they will give you free passes for two other movies. If you paid to see 42 movies last year, how many free passes did you receive?
_free passes
A local movie theater has an offer that for every seven movies you pay to go see, they will give you free passes for two other movies. If you paid to see 42 movies last year, how many free passes did you receive?
Answers
Answer: 12
Step-by-step explanation: 42/7 = 6 and you get 2 free passes so 6 x 2 = 12
7 movies = 2 free passes
7x6 = 42
6x2 = 12
2. What is an
example of TIME?
high and low
slow and fast
sharp and fluid
(Dance class)
Answers
Answer:
the awnser should be. slow and fast
Expand 25.3(2x+3)please help
Answers
Answer:
50.6x + 75.9
Step-by-step explanation:
25.3(2x+3) = 50.6x+75.9
Can somebody please hellllp me with thissssss!!! please
Answers
Answer:
A
Step-by-step explanation:
Answer:
59 m
Step-by-step explanation:
16 + 15 + 13 + 15 = 59
please help! it would be much appreciated
Answers
Answer:
20
Step-by-step explanation:
Given a polynomial and one of its factors, find the remaining factors of the polynomial. x^4 + 2x^3 – 8x – 16; x + 2
Answers
Answer:
The other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]
Step-by-step explanation:
Given
Polynomial: [tex]x^4 + 2x^3 - 8x - 16[/tex]
Factor: [tex]x + 2[/tex]
Required
Find other factors
[tex]x^4 + 2x^3 - 8x - 16[/tex]
Group into two
[tex]x^4 + 2x^3 - 8x - 16 = (x^4 + 2x^3) - (8x + 16)[/tex]
Factorize:
[tex]x^4 + 2x^3 - 8x - 16 = x^3(x + 2) -8 (x + 2)[/tex]
Factor out common term
[tex]x^4 + 2x^3 - 8x - 16 = (x^3 -8)(x + 2)[/tex]
Rewrite [tex]x^3- 8[/tex] as [tex]x^3 + 2x^2 - 2x^2+ 4x - 4x - 8[/tex]
[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 - 2x^2+ 4x - 4x - 8)(x + 2)[/tex]
Rearrange the terms
[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 + 4x - 2x^2 - 4x - 8)(x + 2)[/tex]
Factorize
[tex]x^4 + 2x^3 - 8x - 16 = (x(x^2+2x+4)-2(x^2+2x+4))(x + 2)[/tex]
Factor out [tex](x^2+2x+4)[/tex]
[tex]x^4 + 2x^3 - 8x - 16 = (x-2)(x^2+2x+4)(x + 2)[/tex]
So, the other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]
The circumference of a circular garden is 106.76 feet. What is the radius of the garden?
Answers
Answer:
16.9659
Step-by-step explanation:
you have to divide the circumference by pi, then you will have your diameter, after that you have to divide the diameter by 2 to get your radius
A train travels 5,812 miles each month for 24 months. How many miles did the train travel in total?
139,488 miles
139,588 miles
139,688 miles
139,788 miles
Answers
Answer: 139,488 miles
NEED ASAP 7TH GRADE MATH
Find the percent increase. Round to the nearest percent. From 95 books to 159 books The percent increase is ( ) %.
Answers
Answer:
67.3684% or 67%
Step-by-step explanation:
percent increase = 100 X (final amount-initial amount)/(initial amount)
so
percent increase = 100 X (159-95)/95
159 - 95 = 64
64/95 = 0.6736842105263158
0.6736842105263158 X 100 = 67.36842105263158
Answer:
67% increase
159 is 167% of 95, which means this is a 67% increase.
PLEASE HELP NOW WILL GIVE CROWN!!!
Answers
Answer:
ADD MORE POINTS FOR THIS WHOLE SHEET YA NO FOU. ADD MORE POINTS THE WE CAN TALK!
Step-by-step explanation: