Answer:
a) -4 mult. 2
b)
c) 2, quadratic
Step-by-Step Explanation:
A polynomial graph has several features we look for to determine the equations.
- The zeros of the function are the x-intercepts. If the x-intercepts touch but do not cross then the intercepts have an even multiplicity like 2, 4, 6, etc. If the x-intercepts cross over then they have an odd multiplicity.
- Degree is the exponent or multiplicity of each zero. Therefore if we know the multiplicity of each zero we can add them together to find or make an educated guess for the degree of the entire polynomial.
- The shape of the graph tells us what type of polynomial. Odd degrees have a backwards S shape. Even degrees have a W shape. The shape can even tell us the if the equation has a positive or negative leading coefficient. Upside down W or an M shape is negative. While a sideways S shape is negative.
In this graph, there is one real zero: -4
We can write them in intercept or factored form as (x+4) since x+4=0 gives x=-4.
Because the graph never crosses the x-axis it has an even multiplicity of at least 2.
The graph is facing up and is a U shape. This can only be a quadratic of degree 2. It is positive.
This means the function has a degree of 2.
Answer: A! x=-1 2/5, y= 1 3/5
Step-by-step explanation:
First put -3x+3y=9 into slope-intercept form(y=mx+b)
3y=-3x+9
then solve for y
y=-1x+3
enter your y-intercept into the equation below..
2x-7(-1x+3)=-14
2x+7x-21=-14
2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)
2x-7x=7
-5x=7 divide -5 into 7
7/5
x=-1 and 2/5
then input x back into the first equation
-3(7/-5)+3y=9
21/5+3y=9
3y=9-21/5
3y=24/5
divide 3 into 24/5
=24/15=1 and 9/15 reduce it anddd
y=1 and 3/5
Answer:
250/3π cubic inches
Step-by-step explanation:
we know that
The volume of the space between the cylinder and the sphere is equal to the volume of the cylinder minus the volume of the sphere
step 1
Find the volume of the cylinder
The volume of the cylinder is equal to
we have
substitute
step 2
Find the volume of the sphere
The volume of the sphere is equal to
we have
substitute
step 3
Find the difference
Answer: the correct options are B, D and F
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
m = slope = rate of change
Looking at the equations given, the three that apply are
B) slope = 7
y intercept = 4
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
D) y = 9x + 1
slope = 9
y intercept = 1
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
F) y = 8x + 5
slope = 8
y intercept = 5
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
wright real answer this is a second grade question this is for 13 and up not 7 year olds