Answer:
D
Step-by-step explanation:
X3+3x2+5x+2x2+6x+10
Collect like terms
X3+5x2+11x+10
The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;
⇒ (x + 2) (x² + 3x + 5)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ P(X) = x³ + 5x² + 11x + 10
Now,
Solve the expression for the factors as;
The expression is,
⇒ P(X) = x³ + 5x² + 11x + 10
Since, -2 is the solution of the expression.
Hence, (x + 2) is one of the factor of the expression.
So, Find the second factor by dividing the expression (x³ + 5x² + 11x + 10)
by (x + 2), we get;
x + 2 ) x³ + 5x² + 11x + 10 (x² + 3x + 5
x³ + 2x²
--------------
3x² + 11x
3x² + 6x
------------------
5x + 10
5x + 10
--------------------
0
Thus, The second factor = (x² + 3x + 5)
Therefore,
x³ + 5x² + 11x + 10 = (x + 2) (x² + 3x + 5)
Thus, The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;
⇒ (x + 2) (x² + 3x + 5)
Learn more about the mathematical expression visit:
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Write the number in 2 equivalent forms as a fraction, decimal, or percent.0.40
Answer:
2/5 or 40%
Step-by-step explanation:
.40 is 40 hundredths or 40/100
40/100 can be reduced to 20/50 and reduced again to 10/25 and one more time to 2/5
Percentages are fractions out of 100 so 40/100 would be 40%.
HELP ASAP WILL GIVE LOTS OF POINTS AND YOUR ANSWER MUST BE REAL OR ELSE I WILL NOT GIVE POINTS
The virus the suspect created was initially exposed to 5 people, and it spreads at a rate of 51.2% each week. The weight of the suspect is equal to the number of people who will be infected by week 9. (Round to the nearest whole number.) what is the question used to find the weight
Answer:
I dont know
Step-by-step explanation:
and thats not how it works
rewrite the equation in slope-intercept form.
8x-4y=20
WHAT IS THE ANSWER ASAP
Answer:
C
Step-by-step explanation:
process of elimination
Help me with this!!!
Answer:
yes
Step-by-step explanation:
PLEASE HELP
Find the measure of the numbered angles
Answer:
I believe the answers are;
m<1 = 50°
m<2 = 130°
m<3 = 50°
m<4 = 130°
m<5 = 40°
m<6 = 30°
Please I need help with this
Answer:
1680.25
Step-by-step explanation:
Cody starts the month of April with 5 action figures. Each month, he collects an additional 3 action figures.
Write an equation (in slope-intercept form) that matches Cody's situation.
Group of answer choices
y = 3x + 5
y = 5x + 3
y = 3x - 5
y = 5x - 3
Answer:
y= 3x + 5
Step-by-step explanation:
The +5 represents the starting 5 action figures, and the 3x represents the 3 action figures he collects each month.
Caydin is inviting 11 friends over. Each friend gets 1/4 pizza. How many pizzas does he need?
find the area of the rectilinear
Answer:
52cm^2
Step-by-step explanation:
I did the splitting in my head and that's pretty hard to explain like this so, just BTW if your confused on where I got my lengths from.
(7*6) + (5*2)
(42) + (10)
52
I separated them into an almost square and a rectangle, then I found the area of each rectangle and then added them together.
Hopefully this was useful and you didn't have any issues with this!
A plane traveling with a velocity measured in meters per second, is described by vector a = 5,6). Find the
speed of the plane.
Answer:
The speed of the plane is [tex]v=1.2\: m/s[/tex]
Step-by-step explanation:
The vector (5,6) represents a point in the coordinate system time-position.
So, we have that at t = 5 s the position is x = 6.
Let's recall that the slope of this vector is the speed, then using the tangent definition:
[tex]v=\frac{x}{t}=\frac{6}{5}[/tex]
[tex]v=1.2\: m/s[/tex]
I hope it helps you!
Plz, answer this question plz!
Plz, answer this question plz!
Plz, answer this question plz!
Plz, answer this question plz!
Plz, answer this question plz!
Actual Answer:
A (I THINK )
Answer:
There is a hack in forms that forms gives u the answer hold ctrl + u, and scrool to the bottom he read the part with the question and there will be an answer.
Mark as brainliest if im right good luck!!
Answer C
Step by step: i think its c because i have no idea.
tell whether the slope is positive or negative. then find the slope.
Answer:
slope is negative
m=-1
Step-by-step explanation:
the slope of a line is positive if it passes through Quadrants III and I. The slope is negative if it passes through II and IV.
yes, this line passes through Quadrant I alongside II and IV, but it doesn't pass through Quadrant III (it has to pass through Quadrant III to be positive)
that means that the slope of this line must be negative
We can calculate the slope (m) with this formula:
(y2-y1)/(x2-x1)
we can pick two points- for example, (1,3) and (2,2)
label the points:
x1=1
y1=3
x2=2
y2=2
now substitute into the equation
m=(2-3)/(2-1)
m=-1/1
m=-1
the slope is -1
Hope this helps! :)
The system of equations n=2p+3 and n=5p is graphed.what is the solution to the system of equations
Answer:
n=7 and p=2
Step-by-step explanation:
Graph is not given,
we have n=2p+3 and n=5+p
that's 2p+3=5+p
P=5 - 3
P=2
so the solution is n=7 and p=2
Answer:
(2,7)
Step-by-step explanation:
The straight lines y = px + 9, where p is a constant, and y = ½ x – 1 are perpendicular. (a) State the value of p *
Answer:
14587676
Step-by-step explanation:
PLEASE HELP!!!! It’s timed
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 41, adjacent B C is 9, opposite A C is 40.
Answer:
bStep-by-step explanation:
we are given opposite, adjacent and hypotenuse
and said to find cos(B)
recall trigonometric identity [tex]\cos(\theta)=\dfrac{adj}{hypo}[/tex]
let adj and hypo be 9 and 41 respectively
so
[tex] \displaystyle \: \cos( \beta ) = \frac{9}{41} [/tex]
hence our answer is b
A reflecting telescope contains a mirror shaped like a parabola of revolution. If the mirror is 16 inches across at its opening and is 2 feet deep, where will the light be concentrated?
Answer:
18
Step-by-step explanation:
A roll of ribbon is used to tie 12 gifts which will be given to teachers on Teacher's
Day. Every gift requires a length of 1.85 m. After tying all the gifts, it was found that
2/3 of the ribbon had been used. The remaining ribbon was cut into 12 pieces of the same length. Calculate the length of each piece of ribbon that had been cut.
can someone help me answer this question plss
Each piece of ribbon that had been cut has a length of approximately 3.7 m.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The total length of ribbon to tie 12 gifts is calculated as,
⇒ 12 gifts × 1.85 m/gift = 22.2 m
The length of the ribbon remaining is calculated as,
Total length = [22.2 / (1/3)] x 2/3
Total length = 66.6 x 2/3
Total length = 44.4
The length of each piece of ribbon that had been cut is calculated as,
Length of each piece = 44.4 m ÷ 12 = 3.7 m
More about the Algebra link is given below.
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How do you work out the circumference of this circle step by step?
Answer:
It says c = πd
The circumference is π X d (diameter)
on the image the diameter shown on the circle is 14cm
π = 3.14
3.14 X 14cm = 43.96cm
What are the multiples of 2?
Answer:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...
Step-by-step explanation:
Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.
PLSS HELP I WILL GIVE BRAINLIEST PLSSS
Find the area of the trapezoid.
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
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Cassie purchases a new car for $30,000 that depreciates 6% each year. How much will the car be worth in 10 years? PLEASE HELP ASAP I NEED THIS GRADE!!
Answer:
it will be worth 3 grand meh pal
Step-by-step explanation:
Solve the equation x2 + 4x − 11 = 0 by completing the square. Fill in the values of a and b to complete the solutions.
Answer:
x = - 2 -[tex]\sqrt{15\\[/tex]
x = - 2 + [tex]\sqrt{15[/tex]
Step-by-step explanation:
The given equation needs to be solved by completing the squares.
The required values are -2+√15, -2-√15
Completing the squaresThe given equation is [tex]x^2+4x-11=0[/tex]
The general form of a quadratic equaiton is [tex]ax^2+bx+c=0[/tex]
Comparing with the given equation we have
a = 1
b = 4
c = -11
Rearranging the equation
[tex]x^2+4x=11[/tex]
Finding (b/2)²
[tex](\dfrac{4}{2})^2=4[/tex]
Adding to both sides of the equation
[tex]x^2+4x+4=11+4\\\Rightarrow (x+2)^2=15\\\Rightarrow x+2=\pm\sqrt{15}\\\Rightarrow x=-2+\sqrt{15},-2-\sqrt{15}[/tex]
Learn more about completing the squares:
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4 drinks for $3 is a unit rate?
Answer:
No, a unit rate is a rate for one quanity such as 1 drink for 0.75 cents.
Step-by-step explanation:
Write an inequality to label the shaded region of the graph
-3
2
11
X
-3
-
4
-
- 1 -2
3
4
Answer:
y < 1
Step-by-step explanation:
the value of y in the whole part is less than or equal to 1.
I need help on my question that’s not anwserd please help a
And if u help me I’ll give points and brainlist and thanks and a 5 star please
Answer:
where's the question. you gave no information....
Step-by-step explanation:
I don't know what I have to work with...
In the figure, all lines intersect at point W.
What is the value of n?
Please help quick
Answer:
n = 15
Step-by-step explanation:
A straight line equals 180 degrees
Angle SWT is congruent to angle XWV meaning:
SWT (55 degrees) = XWV (55 degrees)
Set up an equation:
3n + 80 + 55 = 180
Combine like terms
3n + 135 = 180
Subtract both sides by 135 to isolate variable n
3n = 45
Divide both sides by 3 to isolate variable n
n = 15
Which measure of central tendency best describes the data?
10, 14, 15, 15, 14, 13, 18, 13, 14
mean only
median only
either mean or median please answer now fast
What is the measure of the missing angle in the triangle below? (Write just the number with NO titles or words)
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
all triangles have a sum of 180 degrees. so 115+35=150
180-150= 30