let f(x) = x^3+3x^2-x-3. Find the polynomial function each of whose roots are two less than the roots of f(x)
Step-by-step explanation:
f(x) = x³ + 3x² - x - 3 = x²(x + 3) - (x + 3)
= (x² - 1)(x + 3) = (x + 1)(x - 1)(x + 3).
The roots of f(x) are x = -3, -1 and 1.
=> The new roots are x = -5, -3 and -1.
=> g(x) = (x + 5)(x + 3)(x + 1) = x³ + 9x² + 23x + 15.
The Cougar Shipping Company found that 3 out of 25 boxes
were damaged. What percent of the boxes were damaged?
a.
3%
b.
18%
C.
20%
d.
75%
Please hurry
Answer:
i think it is 20
Step-by-step explanation:
i hope it help
Gregs cocker spaniel weighs 32 pounds. His kitten weighs 15 ounces.
Help asappppp ? Writing linear Equations?
Answer:
C=0.75m+3
Step-by-step explanation:
3=flat fee
0.75 per mile
m=mile
c=cost
what is 2+2-3+9-5+3=
Answer:
8
Step-by-step explanation:
Answer: the answer is 8
Step-by-step explanation: hope this helps :)
Which of the following systems of linear inequalities is represented by the
solution graphed below?
Answer:
look it up
Step-by-step explanation:
The table shows the regular price and percent of discount for four items. Write the correct sale price for each item. Round to the nearest cent if necessary.
Answer:
Step-by-step explanation:
A. $154.20 * 0.65 = $100.23
B. $91.96 * 0.70 = $64.37
C. $47.60 * 0.75 = $35.70
D. $84.60 * 0.80 = $67.68
Help please!
Urgent Question!!!
Step-by-step explanation:
Coordinates of Point R = (0, y).
We have PR = QR.
=> (-2 - 0)² + (6 - y)² = (9 - 0)² + (3 - y)².
=> 4 + (6 - y)² = 81 + (3 - y)²
=> y² - 12y + 40 = y² - 6y + 90
=> 6y + 50 = 0
=> y = -25/3.
Hence the answer is (0, -25/3).
Coordinates of Point S = (x, 0).
We have PS = QS.
=> (-2 - x)² + (6 - 0)² = (9 - x)² + (3 - 0)²
=> (-2 - x)² + 36 = (9 - x)² + 9
=> x² + 4x + 40 = x² - 18x + 90
=> 22x = 50
=> x = 25/11.
Hence the answer is (25/11, 0).
here,
coordinates of P(-2,3)
coordinates of Q(9,3)
coordinates of R(0,0)
now,
PR=QR
or, 0-(-2)+0-3=(0-9)+(0-3)
or, 2-3= -9-3
or, -1 = -12
Graph the line
Through (6, 0), m= -1/2
Answer:
The equation of the line would be y = -1/2x + 3. You can use this to make a graph that looks like this:
Which line has a slope equal to 1?
Answer:
Algebra and geometry...
Two lines are perpendicular if the product of their slopes is −1 or one has a slope of 0 (a horizontal line) and the other has an undefined slope (a vertical line)....
Step-by-step explanation:
hope the answer was helpful ......
Given that the following is a Rhombus, find the missing sides.
Answer:
AE = 6
AC = 12
BD = 16
AB = 10
Step-by-step explanation:
In a rhombus, which is equilateral, the diagonals bisect each other so,
AE = EC so 6
AC = AE + EC, which is 6+6
BD = ED + EB or 8+8
AB = BC so 10
Solve the system of equations 4x – 9y = 5 and 8x - y = -7 by combining the
equations.
Answer:
x=2 and y=0.
Step-by-step explanation:
Answer:
[tex]x=-1,\\y=-1[/tex]
Step-by-step explanation:
We can write the following system of equations as given:
[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].
Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:
[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].
Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:
[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].
Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]
on a coordinate plane, three of the four verticles are located at the points (0,0), (5,5) and (6,2). what is the area, in square units, of the rectangle?
A.20
B.
[tex]10 \sqrt{5} [/tex]
C.32
D.
[tex]20 \sqrt{5} [/tex]
Answer: o believe the answer is D hope it helps
Step-by-step explanation:
Draw 2 lines to cut each triangle into the given shapes. 1 pentagon and 2 triangles
Answer:
cut the two lines at the corner, don't let the lines touch
Step-by-step explanation:
Two lines are drawn at corner of a big triangle and lines should not touch each other
Pentagon & TriangleAny quadrilateral which has five sides is known as pentagonAny quadrilateral which has three sides is known as triangleWhat are the steps to draw?Steps to draw the Pentagon & Triangle are as follow:
First draw one big triangleAfter that from right corner of big triangle mark point on two sides of triangle and draw line passing through this pointsRepeat step 2 from left cornerSo two triangle and one pentagon is produced
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5/6 divided by 1/2 simplest from
Answer:
5/3
Step-by-step explanation:
(5/6)÷(1/2)
= (5/6) x 2
= 10/6 = 5/3
Hope this helps!
Answer:
the correct answer is 5/3
I'm 100000000000% sure
MATH PROBLEM PLEASE HELP I HAVE THE PIC OF THE PROBLEM I WILL GIVE YOUI BRAINLIEST
Answer:
79.4
Step-by-step explanation:
(85+90+68+75+79) / 5 =79.4
10 pens for $8.99.
25 pens for $19.75
What is the question?
Step-by-step explanation:
Answer:
so you need to find the cost of one pen, which ever is cheaper pick that one
Madison is making a cleaning solution by mixing a multi-surface cleaner with water in the
ratio of 2 to 11. How many pints of the
cleaner and water does she need to make 39 pints of solution?
Cleaner:
Answer:
Im pretty sure its 33 and 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Set up a proportion
2/13 = x / 39 Cross multiply
13*x = 2 * 39 Combine the right
13x = 78 Divide by 13
x = 78/13
x = 6
Why pick 13? Because the total must come to 39. You will make a mistake if you use 11 rather than 13. You must include the cleaner in the denominator. Very tricky question.
So the final answer is
Cleaner: 6
Water: 39 - 6 = 33 pints of water.
Very few of your classmates will get this if they are not in chemistry. You might even be told your answer is incorrect. It isn't.
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Answer:
nice picture bro
Step-by-step explanation:
Which equation is equivalent to 10=3/2(2x+4)?
a.10=3x+2
b.10=3x+4
c.10=3x+6
d.10=3x+12
Answer
the answer should be C. 10=3x+6
Gabriel saves 40% of his monthly paycheck for college. He earned $270 last month. How much money did Gabriel save for college?
A $108
B $96
C $162
D $180
ASAP PLEASEEE
Answer:
A $108
Step-by-step explanation:
40% = .4
.4 * 270 = 108
I WILL GIVE BRAINLIEST AND 50 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Calculate the rate of change for the following data:
x y
-1 7
2 -2
7 -17
10 -26
HELP!!!!
Answer:
we get Rate of change = -3
Step-by-step explanation:
We need to calculate the rate of change for the following data:
x y
-1 7
2 -2
7 -17
10 -26
The rate of change can be calculated using slope formula: [tex]Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table, we can take any 2 points
Suppose we take (-1,7) and (2,-2)
We have: [tex]x_1=-1, y_1=7,x_2=2, y_2=-2[/tex]
Putting values in formula and finding rate of change
[tex]Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:change=\frac{-2-7}{2-(-1)}\\Rate\:of\:change=\frac{-9}{2+1}\\Rate\:of\:change=\frac{-9}{3}\\Rate\:of\:change=-3[/tex]
So, we get Rate of change = -3
The expression 120 + 15m gives the volume of water in Miguel's pool (in liters) after he spends m minutes filling his pool.
What is the volume of water in Miguel's pool after he fills it for 6.5 minutes?
Answer:
217.5 liters
Step-by-step explanation:
15 x 6.5 = 97.5. 97.5 + 120 = 217.5 liters
Graph the line through(-5,-10), m=3
Answer:
below
Step-by-step explanation:
first put it in point-slope then slope intercept:
y+10=3(x+5)
y+10=3x+15
y=3x+5
now graph it
Sharif stared a new job working 15 hours a week after how many weeks will he have worked a total of 75 hours ?
Answer: 5 weeks
Step-by-step explanation: Please give me brainliest
Given that the following is a Rhombus, find the missing angles.
Answer:
1. 90
2. 61
3. 29
4. 61
Step-by-step explanation:
1 is a 90 degree angle. Triangles = 180 degrees
Here are two circles. Their centers are A and F. What is the same about the two circles?
Both the circle A and F have same radius and diameter.
What is Radius of circle?Any circular object's radius is the measurement from the centre to its outermost border or boundary. A radius is a dimension that applies to spheres, semispheres, cones with circular bases, and cylinders with circular bases in addition to circles.
It is possible to define a circle as the locus of a point moving in a plane while maintaining a constant distance from a fixed point. The radius of a circle is the distance from any point on the circle to its center. The fixed point is referred to as the centre of the circle.
Given:
We have Two circles named A and F.
Now, the radius of circle A is 4cm
So, the diameter of Circle A is 4 x2 = 8 cm
Now, the Diameter of Circle F is 8 cm
Hence, both the circle A and F have same radius and diameter.
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Tom walks 1/3
of a mile in 1/4 of an hour. At this rate, how many miles will Tom Walk
in 1 hour?
-
B
IN
Answer:
4/3 miles
Step-by-step explanation:
1/3 miles
-----------------
1/4 hour
1/3 ÷ 1/4
Copy dot flip
1/3 * 4/1
4/3 miles per hour
In 1 hour
4/3 miles
Answer:
1 1/3 miles in 1 hour
Step-by-step explanation:
since there are 4 quarters in 1, you must multiply 1/3 by 4.
1/3 x 4 = 1 1/3
Solve the matrix equation below
Answer:
We need to distribute the values Hence [-4 0: 0 - 2 ] +[0 -3: 5 -4] X + [ 0 -3: 5 -4 ] = [19 -27 : 10 -24]The price of each box of Girl Scout
cookies is $ 20 - 4. Write an
expression using multiplication to
represent the total cost of 3 boxes of
cookies.