Answer:
b
Step-by-step explanation:
its correct
Step-by-step explanation:
a)
y = 2x³ + 4x
a polynomial of 3rd degree cannot have an axis of symmetry.
it can only have a point of symmetry, like in this case.
(0, 0) is the point of symmetry, because due to the fact there is no squared term, any negative x values create exactly the same values (in absolute values) as their positive counterparts - just negative.
the vertex of a polynomial of 3rd degree is the point where the function changes directions.
that point for x³ is the origin, as it is for x. the factors only stretch the graph, but the vertex stays the same.
only if we had a term like (x+a)³ in the polynomial, this would shift the vertex.
so, the point of symmetry and the vertex are the same :
(0, 0).
b)
y = -x² + 4x - 5
the vertex form of a quadratic function is
f(x) = a(x − h)² + k
with (h, k) is the vertex.
x = h is the axis of symmetry.
we use "complete the square" to get it into that form.
-x² + 4x - 5 = -(x² - 4x + 5) = -(x - 2)² - 1
therefore,
y = -(x - 2)² - 1
h = 2, k = -1
the vertex is (2, -1)
the axis of symmetry is x = 2
what is the least common denominator in 6/x = 4/x-8 + 1
a) x-8
b) x^2-8
c) 8x
d) x(x-8)
Answer:
d) x(x-8)
Step-by-step explanation:
Both of the denominators in the problem have to be in the common denominator. It needs the x because of the 6/x and it also needs to have x-8 because of the right side of the equation.
Answer:
d x(x - 8).
Step-by-step explanation:
That would be x * (x - 8)
help i dont know the answer like seriously omg omg
The gcf is 6
so: 42+12= 6(7+2)
Answer:
see explanation
Step-by-step explanation:
the factors of 42 are 1, 2, 3, 6, 7, 14 , 21, 42
the factors of 12 are 1, 2, 3, 4, 6, 12
common factors are 1, 2, 3, 6
GCF = 12
then
42 + 12 ← factor out 6 from each term
= 6(7 + 2)
What is the range for the set of data? 6, 7, 10, 12, 12, 13 11 7 6 13
Answer:
7
Step-by-step explanation:
the range is the difference between the highest and lowest value in a data set.
13 is the highest in the distribution
6 is the lowest in the distribution
13-6=7
Give brainliest, please!
Hope this helps :)
simplify
Please help ASAP
[tex]\dfrac{4v^2}{wu+u^2} \times \dfrac{7w+7u}{4v-8v^2}\\\\\\=\dfrac{4v^2(7w+7u)}{(wu+u^2)(4v-8v^2)}\\\\\\=\dfrac{4v^2 \cdot 7(w+u)}{u(w+u)\cdot 4v(1-2v)}\\\\\\=\dfrac{7v}{u(1-2v)}[/tex]
GIVE BRAINLY PLEASE HELP
Which figure correctly shows the line of symmetry
PLS HELP
A bag that holds 9 oranges, 4 plums, and 7 apples. A fruit is drawn at random. What is the probability that it is NOT a plum.
Answer:
80%
Step-by-step explanation:
9 + 4 + 7 = 20
1 out of 20 = 5%
4 plums = 20%
Answer:
4/5 or 80%
Step-by-step explanation:
So u add up all the fruits which is 20. And then then u make a fraction which is all fruits but not plums over all fruits. So it is 16/20. The 16 came from not having the plums bc there are 4 plums and 20 - 4 = 16. Simplified of 16/20 is 4/5 or %80.
2. A fish tank is shaped like a rectangular prism. 1 2 square feet. The area of the base of the fish tank is 6 The height of the fish tank is 3 feet. 2 What is the volume, in cubic feet, of the fish tank?
Answer:
A. Makes the most sense. If you are using multiplication you'd get 18 1/16
Step-by-step explanation:
Select the correct answer from each drop-down menu. the expression above can also be written in the form . for this expression, a = , b = , and c = .
The value of a, b and c from the given expression above are 15, 1 and 4 respectively
Indices expressionIndices are written in form of exponential expression. Given the expression
[tex]\sqrt[4]{15}[/tex]
We are to write the expression in the form
[tex]a^{b/c}[/tex]
This is simplified as shown
[tex]\sqrt[4]{15}= 15^{1/4}[/tex]
Compare both expression
a = 15
b = 1
c = 4
Hence the value of a, b and c from the given expression above are 15, 1 and 4 respectively
Learn more on indices here: https://brainly.com/question/10339517
#SPJ4
A ball is thrown upward from a height of 15 ft with an initial velocity of 5 ft/s. Use the equation h=-16t^2+5t+15 to answer the following questions. Round to the nearest tenth.
How long will it take for the ball to hit the ground (h=0)?
What is the height of the ball after 0.5 seconds?
Answer:
1) 1.1 seconds
2) 13.5 feet
Part A[tex]\rightarrow \sf -16t^2 + 5t + 15 = 0[/tex]
Apply quadratic formula:
[tex]\rightarrow \sf t= \dfrac{-5\pm \sqrt{5^2-4\left(-16\right)\cdot \:15}}{2\left(-16\right)}[/tex]
Simplify following
[tex]\rightarrow \sf t=-\dfrac{-5+\sqrt{985}}{32},\:t=\dfrac{5+\sqrt{985}}{32}[/tex]
In decimal form:
[tex]\rightarrow \sf t=-0.825 ,\:t=1.137[/tex]
Conclusion:
As time is be only positive: t = 1.1 seconds
Part B
[tex]\rightarrow \sf h=-16t^2 + 5t + 15[/tex]
insert t = 0.5
[tex]\rightarrow \sf h=-16(0.5)^2 + 5(0.5) + 15[/tex]
simplify
[tex]\rightarrow \sf h=13.5[/tex]
please help me with my math problem
Answer:
A
Step-by-step explanation:
sin 32=29.2/x
x=29.2/sin 32
Answer:
[tex]A.\:\:x =\frac{29.2}{\sin (32)\degree}[/tex]
Step-by-step explanation:
[tex]\huge \sin 32\degree =\frac{29.2}{x}[/tex][tex]\huge\implies x =\frac{29.2}{\sin (32)\degree}[/tex]Evaluate 1/4 c + 3d when c = 6 and d = 7
Answer:
SolutioN :
Just plug in the values of c & d in the given expression and calculate :[tex] \longrightarrow \bf \: \frac{1}{4} \times 6 + 3 \times 7[/tex]
[tex] \longrightarrow \boxed{\bf{ \frac{45}{2} }}[/tex]
Our final answer is 45/2 .--------------HappY LearninG <3 -------
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Evaluate 1/4c+3d when c=6, and d=7.
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
Replace c with 6, and d with 7:-
[tex]\Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\Large\text{$\displaystyle\frac{6}{4} +21$}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}[/tex]
[tex]\bigstar[/tex] Adding the numerators,
[tex]\Large\text{$\displaystyle\frac{90}{4}$}[/tex]
[tex]\bigstar[/tex] Finally, Reducing the fraction:-
[tex]\Large\text{$\displaystyle\frac{45}{2}$}[/tex]
[tex]\Uparrow[/tex] [tex]\mathbb{OUR\:SIMPLIFIED\:EXPRESSION}[/tex]
Good luck with your studies.[tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]
IF a universal set U = {x:x belongs to N , x less or equal to 10} , A ={y:y = 2n , n belongs to N , n less than 5} and B ={z:z = 3n , n belongs to N , n less than 4}
Answer:
your answer is N = {xxx: =9n
A circle is centered at (−4, 9) and has a radius of 11.
What is the equation of the circle?
Answer:
(x +4)² +(y -9)² = 121
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
__
We are given that (h, k) = (-4, 9) and r = 11. When we put these values into the equation, it becomes ...
(x -(-4))² +(y -9)² = 11²
We can simplify this a bit to ...
(x +4)² +(y -9)² = 121
which transformation would take figure a to figure b
The radius of a circle is 8 centimeters. What is the circle's area?
What is the range for the following set of measurements? 7.1 g, 9.8 g, 2.3 g, 8.5 g, 7.4 g, 5.7 g
Answer:
7.5
Step-by-step explanation:
you take the largest number (9.8) and subtract with the smallest number (2.3)
9.8-2.3= 7.5What is the mean absolute deviation of 3 3 1 9 3 1 8
Answer:
2.57 or rounded to 1 sig digit just 3
Match the attributes to each three-dimensional shape that has the cross-section described.
Only consider cross-sections with whole number dimensions parallel to a side of one of the prisms or the base of the pyramid.
Quadrilateral A:
area of
16 square inches
Quadrilateral B:
perimeter of
24 inches
Quadrilateral C:
perimeter of
16 inches
The attributes to each three-dimensional shape that has the cross-section is 4,16 and 4.
What is a quadrilateral and parallelogram?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Given;
Quadrilateral A: area of 16 square inches
Quadrilateral B: perimeter of 24 inches
Quadrilateral C: perimeter of 16 inches
Now,
Quadrilateral A:
a^2=16
a=4
Quadrilateral B;
4a=24
a=6
Quadrilateral C:
4a=16
a=4
Therefore, the answers of quadrilaterals will be 4,6 and 4.
Learn more about parallelogram and quadrilateral;
https://brainly.com/question/28854514
#SPJ1
Write a system of inequalities using the given graph
For dark line
(0,1)(-1,-4)Slope
m=-4-1/-1=5Equation in point slope form
y-1=5xy=5x+1Put (0,0)
0<1As line is dark sign is ≤
The inequality
y≤5x+1For dashed line
(2,0)(0,-2)Equation in intercept form
x/2-y/2=1x-y=2y=x-2Put (0,0)
0>-2Symbol is >
Inequality is
y>x-2Find the value of X
Answer:
x = 14
Step-by-step explanation:
By tangent secant theorem[tex] x^2 = 7(7+21)[/tex][tex]\implies x^2 = 7(28)[/tex][tex]\implies x ^2=196[/tex][tex]\implies x=\pm\sqrt{196}[/tex][tex]\implies x=\pm 14[/tex]x can not be negative[tex]\implies x=14[/tex]A store owner puts in an order for product x and product y for a total of 4,000 units. it costs $0.10 per item to ship of product x and $0.04 per item to ship product y. if the total shipping cost is $352, which system of equations can be used to determine how much of product x and product y the store owner bought? startlayout enlarged left-brace 1st row x y = 4,000 2nd row 10 x 4 y = 352 endlayout startlayout enlarged left-brace 1st row 10 x 4 y = 4,000 2nd row x y = 352 endlayout startlayout enlarged left-brace 1st row x y = 4,000 2ndrow 0.1 x 0.04 y = 352 endlayout startlayout enlarged left-brace 1st row 0.1 x 0.04 y = 4,000 2nd row x y = 352 endlayout
The system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000
0.10x + 0.04y = 352
Simultaneous equationproduct xProduct yTotal units of x and y = 4,000 unitsCost of shipping each product x = $0.10Cost of shipping each product y = $0.04Total cost of shipping = $352The equation:
x + y = 4,000
0.10x + 0.04y = 352
Therefore, the system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000
0.10x + 0.04y = 352
Learn more about simultaneous equation:
https://brainly.com/question/16863577
#SPJ4
Answer:
C
Step-by-step explanation:
use technology to find the solution to the system: 8x - 4y = -24 4x - 12y = -32
The solution to the system of equation 8x -4y = -24, 4x - 12y = -32 is x = 19 / 8 and y = 5 / 4
How to find solution to the system of equation?The solution of the system of equation can be found as follows:
8x -4y = -24
4x - 12y = -32
Multiply equation(ii) by 2
8x - 4y = -24
8x - 36y = -64
32y = 40
y = 40 / 32 = 5 / 4
8x - 4(5 / 4) = -24
8x - 5 = -24
8x = -24 + 5
8x = 19
x = 19 / 8
learn more on equation here: https://brainly.com/question/14463797
#SPJ1
I will multiply twenty negative numbers together, with fifteen positive numbers. If the value of my number is x, how does it compare to zero? Fill in the blank using >, <, or, = to make the statement true.
x enter your response here
Answer:
x = 27
Step-by-step explanation:
Finding variation constant :
k = y/xk = 18/9k = 2Substituting in the equation y = kx, where y = 54 :
54 = 2xx = 54/2x = 27What percent of 4c in each expression? *2a
The percentage of 4c that's the expression 0.04c will be is 1%.
How to calculate the percentage?From the complete information, we are told to calculate the percentage of 0.04c from 4c.
This will be calculated thus:
= 0.04c/4c × 100
= 0.01
= 1%
Therefore, the percentage is 1%.
Learn more about percentages on:
https://brainly.com/question/24304697
#SPJ1
a) plot the graph of y= 5 and 2x + y = 8
b) wirte down the coordinates of the point where they cross
explain the steps pls?
The graph is shown below. Then the linear system crosses each other at (1.5, 5).
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equations are given below.
y = 5 ...1
2x + y = 8 ...2
The graph is shown below.
By equations 1 and 2. Then we have
2x + 5 = 8
2x = 3
x = 1.5
Then the lines cross each other at (1.5, 5).
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
need help on this geometry problem
Solve the system of equations below: 4x + 6y = 32 and 3x - 6y = 3
Pls show work will give brainliest :)
Answer:
x=5 y=2
Step-by-step explanation:
3x-6y=3
3x=3+6y
x=1+2y
Substitute x for 4x+6y=32
4+8y+6y=32
4+14y=32
14y=28
y=2
3x-12=3
3x=15
x=5
Select all the right triangles, given the length of the sides
Answer:
B, E
Step-by-step explanation:
Needs a 3:4:5 ratio, or, if it is an isosceles triangle, then n:n:nsqrt(3)
Which summation formula represents the series below?
1 + 2 + 6 + 24
Answer:
First one is the answer of the question u asked
Answer:
Option a: ∑⁵(n−1)! is the correct answer.
n=²
Step-by-step explanation:
Option a: ∑n=25(n−1)
By substituting the values of n and expanding the summation, we have,
(2−1)!+(3−1)!+(4−1)!+(5−1)!
Subtracting, we have,
1!+2!+3!+4!
Expanding the factorial,
1+(2∗1)+(3∗2∗1)+(4∗3∗2∗1)
Simplifying, we get,
1+2+6+24
Thus, the summation ∑⁵ (n−1)! represents the
n=2
series 1+2+6+24
Hence, Option a is the correct answer.
What is the value of the expression 30-(-6)?
0 -180
O -5
O 5
O 24
Answer:
36? its not on there but that is it.