Answer:
the degree of the polynomial
Step-by-step explanation:
Given
Polynomial equation
Required
What does the sum of the multiplicities add up to
To answer this question, I'll make use of the following polynomial.
[tex]p(x) = x^3 - 7x^2 + 15x - 9[/tex]
When factorized, the polynomial is:
[tex]p(x) = (x - 1)(x - 3)(x-3)[/tex]
[tex]p(x) = (x - 1)(x - 3)^2[/tex]
x-1 can be expressed as [tex](x - 1)^1[/tex]
So, we have:
[tex]p(x) = (x - 1)^1(x - 3)^2[/tex]
The sum of multiplicity (M) of the equation is 3.
This is so because
[tex]x - 1[/tex] occurred one time in [tex]p(x) = (x - 1)(x - 3)^2[/tex]
[tex]x - 3[/tex] occurred two times in [tex]p(x) = (x - 1)(x - 3)^2[/tex]
[tex]Sum= 1 + 2[/tex]
[tex]Sum= 3[/tex]
The degree of [tex]p(x) = x^3 - 7x^2 + 15x - 9[/tex] or [tex]p(x) = (x - 1)^1(x - 3)^2[/tex] is 3.
This implies that:
[tex]Sum = Degree = 3[/tex]
Hence: Option (a) answers the question
7(2x + 8) = 84 What could be the reason for the first step in solving this equality ?
Answer:
first you must multiply the 7 by what is inside the parentheses:
14x + 56 = 84
Coefficient of x in -9 x y2z is
a) 9yz b) -9yz c) 9y2z d) -9y2z
please say the right answer
Given:
The expression is
[tex]-9xy^2z[/tex]
To find:
The coefficient of x in the given expression.
Solution:
Coefficient of a variable is the product of a number and other variables multiplying the variable in an algebraic expression.
In the given expression the number and variables other than x are -9, y² and z.
So, coefficient of x is
[tex]-9\times y^2\times z=-9y^2z[/tex]
Therefore, the correct option is (d).
HELP ASAP PLEASE!
A cashier rings up 7 customers. Oddly enough, each
customer buys the same items. They each buy 4
books that cost x dollars each. They also each have a
$5 off coupon.
1. Write an expression that shows how much the 7
customers paid.
2. Simplify the expression.
Answer:
Hope this is right.
1. 7(4x-5)
2. 28x-35
Step-by-step explanation:
what is 6/5 of 7003=
PLEASE HELP AGAIIIN!!!!!!!!!
Answer:
8,403.6
Step-by-step explanation:
6/5 of 7003
= 6/5 × 7003
= 42,018/5
= 8,403.6
Hence 6/5 of 7003 is 8,403.6
A line with a negative slope intersects a horizontal line 3 units above the x-axis. Select each point that can not be the intersection of the two lines.
Step-by-step explanation:
Since both lines intersect each other 3 units above the x-axis, the y-value of the point of intersection must be 3.
Looking at the options, (-3, 5), (3, -2) and (0, -3) are all invalid points.
The points that can not be the intersection points are:
(-3, 5), (3, -2), and (0, -3)
Options B, C, and D are the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
A line with a negative slope intersects a horizontal line 3 units above the x-axis.
This means,
The y-coordinate will be 3.
The y-intercept is y = 3.
The points of intersection will have the following form,
= (x, 3)
Thus,
(-3, 5), (3, -2), and (0, -3) can not be the intersection points.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
A rectangle has a length of x + 2, a width of 7, and a perimeter of 32.
The value of x is
Answer:
x=7
Step-by-step explanation:
You should first write an equasion to represent the question.
There are 2 ways you can write this → x+2+x+2+7+7 or 2(x+2)+2(7)
Then Simplify = To check the answer plug the answer back in ->14+4+14=32
2x+4+14=32
2x+18=32
2x=(32-18)
2x=14
x=7
NUMBER 2 IM RUSHING. ILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT I PROMISE
Is it linear or nonlinear
Answer:linear
Step-by-step explanation:
the line is going straight
What are the zeros of the polynomial function f(x) = x3 + 10x2 + 24x?
-6, 0, 4
6,0,-4
-6,0,-4
6,0,4
How do i graph 2x + 3y = 9
Given f(x) = 2x + 2, solve for x when f(x) = -4
Anyone know the answer?
A tile expert is creating a design for a bathroom floor. He needs 6-sided
tiles and 3-sided tiles. Which two polygons does he use?*
Answer:
hexagons and triangles
what does is the c ? c + 13 = -17
Step-by-step explanation:
c + 13 = - 17
c = - 17 - 13
Therefore c = -30
Hope it will help :)
Answer:
c is equal to negative thirty.
Step-by-step explanation:
You can find out what c is by subtracting 13 from both sides of the equation:
c + 13 = -17
c + 13 - 13 = -17 - 13
c + 0 = -30
c = -30
Find the value of x in the pair of similar figures. PLEASE HELP
Answer:
10
Step-by-step explanation:
Carlita reads a story about a young boy who is constantly causing problems. Everywhere he goes, he causes trouble in one form or another while serving as a warning of how not to behave. His escapades share an important message but are funny at the same time. Which traditional character does this boy draw on? A a witch B a trickster C an unlikely hero D a god or goddess
Answer:
The answer is: B a trickster
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Show that the two shorter sides in triangle A have the same length as the two shorter sides in triangle B
Answer:
Step-by-step explanation:
a). Let the unknown side of triangle A = x cm
And unknown side of triangle B = y cm
By applying Pythagoras theorem in triangle A,
13² = 12² + x²
x² = 169 - 144
x² = 25 ⇒ x = 5 cm
By applying Pythagoras theorem in triangle B,
y² = 5² + 12²
y² = 25 + 144
y = √169
y = 13 cm
Therefore, smaller sides of these triangles measure 5 cm and 12 cm and they are same in measure.
b). Since, corresponding sides of both the triangles are congruent,
By SSS property of congruence, both the triangles will be congruent.
Jojo has 12 ounces of milk with 4% fat in her sippy cup. She spills some on the floor . Her mother adds 6 ounces of milk with 2% fat in her sippy cup. She now has 10 ounces of milk in the cup . What is the concentration of her milk now?
Answer:
7%
Step-by-step explanation:
Answer:
7%
Step-by-step explanation:
BRAINLIEST. PLEASE ANSWER
Answer:
a). Distance round one loop = 141.37 meters
b). Distance covered = 3534.29 meters
Step-by-step explanation:
Diameter of the given track = 45 meters
a). Distance round one loop of the track = circumference of the circle
Circumference of a circle = π × (Diameter)
= π × (45)
= 141.37 meters
b). Distance covered by going around the track 25 times = 25 × distance in one loop of the track
= 25 × 141.37
= 3534.29 meters
I need help with Geometry
Answer: B
Step-by-step explanation:
Answer:
The answer is B. because it matches up with whats written up top
Can you help me please!!
Answer:
Its c
Step-by-step explanation:
If you add all of the amounts of paint that he has you will get 1 1/30
Hope this Helps!!!
I need some help ? Does anyone know this:)I’m new too this thats why im asking loll
Answer: Its the second choice
Step-by-step explanation: square area is base x height; the base is 12 the height is 4. triangle area = (base x height)/ 2; base is 12, times 4 (height), then divide by 2
456 - 9099 divided by 56
Answer:
293.5
Step-by-step explanation:
Harry Potter RP!!
https://brainly.com/question/20615441
HELP PLEASE! Thank you!
Answer:
1. First choice
2. Image C
3. Fourth chioice
4. Third choice
5. First choice.
Step-by-step explanation:
First ScreenshotSolve the equation.
[tex] {x}^{2} - 9 = 0[/tex]
Use the difference of two squares formula.
[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
[tex](x + 3)(x - 3) = 0 \\ x = 3, - 3[/tex]
Second ScreenshotA linear relationship already says it all. Find the graph that is NOT a curve. The only image that is not a curve and the graph straight forwards is the Image C aka A choice.
Third ScreenshotA nonlinear function is a function that does not have a straight line graph. All linear functions are linear, except for Quadratic and up. Every polynomial function with the degree greater than one wont be a linear.
Fourth Screenshot[tex]y = x + 3[/tex]
If we change the constant from 3 to 5 then we would get
[tex]y = x + 5[/tex]
The graph would shift up 2 units.
Last ScreenshotThe second and third graph both are function. We can tell by doing a line test. Simply draw a vertical line first. Then we check if the line intercepts the graph more than a point or not.
If the line intercepts more than a point then it is not a function.
If the line intercepts only a point then it is a function.
help pls to get pinned
Answer:
[tex]\frac{15}{10}[/tex] and [tex]\frac{3}{10}[/tex]
[tex]\frac{15}{10} -\frac{12}{10} = \frac{3}{10}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{2} - \frac{6}{5}[/tex]
Now the L.C.M = 10
= [tex]\frac{15-12}{10}[/tex]
= [tex]\frac{15}{10} -\frac{12}{10} = \frac{3}{10}[/tex]
removing this account, any words
Answer: Cya
Step-by-step explanation:
Answer:
Thanks for the free points. Sayonara, mate.
Step-by-step explanation:
please help really important for my grade :(
Answer:
≈ 50.7 cm²
Step-by-step explanation:
The area (A) of Δ XYZ is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height ), that is
A = [tex]\frac{1}{2}[/tex] × XY × YZ
Calculate YZ using the tangent ratio in the right triangle
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{YZ}{XY}[/tex] = [tex]\frac{x}{11}[/tex] ( multiply both sides by 11 )
11 × tan40° = x , that is
YZ ≈ 9.23 cm
Thus
A = [tex]\frac{1}{2}[/tex] × 11 × 9.23 = 5.5 × 9.23 ≈ 50.7 cm² ( to 3 significant figures )
Can you help order the numbers from least to greatest?
Answer:
1, 4, 3, 2 (from left to right)
Step-by-step explanation:
The order is 1, 4, 3, 2. Hope this helps :)
A cell phone company charges a flat rate of $4.75 per month, with an additional charge of $0.19 per minute. How many minutes did Alexandra talk on her cell phone if her monthly bill was $27.55?
The skating rink charges 0.75 to rent skates and 1.25 per hour to take which equation can be used to find the number of hours (h) someone skated if he or she was charged 4.50
A) h(0.75+1.25)=4.50
B) 0.75+1.25=4.50
C) 0.75+1.25h=4.50
D) 0.75h+1.25=4.50
Answer: C
Step-by-step explanation:
JJ has two dogs. The combined weight of the two dogs is 60lbs. The larger
dog is twice the weight of the smaller dog.
Answer:
The larger dog weighs 40 pounds and the smaller dog weighs 20 pounds
Step-by-step explanation: