The other two linear factors of the polynomial x³ + 4x² +x -6 are; Choice A: (x – 1) and (x + 3)
Polynomial divisionBy ling division of polynomials, it follows that the division of polynomial x³ + 4x² +x -6 by x +2 yields the quadratic expression;
x² + 2x -3.On this note, the factorisation of the quadratic expression above yields factors;
(x – 1) and (x + 3)Read more on factorisation of polynomials;
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lacey deposited $30 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answer:
$9.93
Step-by-step explanation:
Lacey would earn $9.93 in interest
Which of the following transformations would make corresponding line
segments between a pre-image and image no parallel?
Reflecting over a line that is parallel to the line segment
Translating in a direction that is perpendicular to the line segment.
Rotating 180° about a point not colinear with the segment.
Rotating 90° around a point not on the line segment.
Answer:
D
Step-by-step explanation:
Consider the line y=x+1. Rotate this 90 degrees, and you get a line with a slope of -1, which obviously cannot be parallel.
For each bracelet Julie makes, SHES uses 5 green beads, 6 red beads, and 7 white beads, how many bracelets can she make?
Color of beads | number of beads
Green 1,012
Red. 998
White 1,057
A: 519 Bracelets
B: 202 bracelets
C: 166 Bracelets
D: 151 bracelets
Answer:
d; 151 bracelets
Step-by-step explanation:
to find this out we must divide each number of beads by their matching color amounts
1012 / 5 is 202.4 or 202
998 / 6 is 164.6... or 164
1057 / 7 is 151
151 is the least number out of all of these and in this case you can only make 151 bracelets or else you would run out of white
Given: △ABC, m∠B=90° AB=12, BC=16, BK ⊥ AC . Find: AC and BK. Please explain how to find out BK
Answer:
Given: △ABC, m∠B=90° AB=12, BC=16, BK ⊥ AC . Find: AC and BK.
Given: △ABC, m∠B=90°
Find: AC and BK.
Short leg 90 degrees Long leg Hypotenuse
AB=12 90 BC=16 AC= ?
AK = ? 90 BK = ? AB=12
AC = SQRT (AB*AB + BC*BC) = 20 [right triangle; Pythagorean Theorem]
Similar triangles:[Note: In diagram, share two angles. Therefore share three angles]
BK / 16 = AB / AC
BK / 16 = 12 / 20
BK = (3/5)16
BK = 48/5
another answer let see this
AB^2+BC^2=AC^2
12^2+16^2=AC^2
144+256=AC^2
400=AC^2
20=AC
# be careful#
ΔABC and ΔBKC are similar triangles, the missing measures are:
AC = 20 unitsBK = 9.6 units.What are Similar Triangles?If two triangles are similar, their corresponding sides are proportional to each other.
When a segment of a right triangle intersects the hypotenuse, the triangles formed are similar to each other.
Thus, using Pythagorean Theorem:
AC = √(AB² + BC²)
Substitute
AC = √(12² + 16²)
AC = 20 units.
Find BK:
ΔABC ~ ΔBKC (similar right triangles)
Thus:
AB/BK = AC/BC
Substitute
12/Bk = 20/16
Cross multiply
BK = (16 × 12)/20
BK = 9.6
Therefore, ΔABC and ΔBKC are similar triangles, the missing measures are:
AC = 20 units
BK = 9.6 units.
Learn more about similar triangles on:
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Please answer 53 points
Answer:
The answer is 11.6 m
Step-by-step explanation:
Sara's position = 15.8 meters below sea level
Larson's position=4.2 meters above Sara
Larson's position=15.8-4.2=11.6 meters
THEREFORE: Larson's position is 11.6 meters below the sea level.
Solve by substitution
0.3x + 0.4y = 0.8
0.7x - 0.8y = -6.8
Answer:
x = -2
y = 10
Step-by-step explanation:
(0.3 + 0.7) x + (0.4 - 0.8) y = 0.8 - 6.8
x - 0.4 y = -6 → x = 0.4 y - 6
0.3 ( 0.4 y - 6) + 0.4 y = 0.8 → 0.12y +0.4y - 1.8 = 0.8
→ 0.52 y = 2.6 → y = 2.6/0.52 = 10
x - 0.4(10) = -6 → x = -2
Step-by-step explanation:
0.3x + 0.4y = 0.8 /×2
0.7x - 0.8y = -6.8
1. 0.6x + 0.8y = 1.6
2. 0.7x - 0.8y = -6.8
1+2 : 1.3x + 0y = -5.2
1.3x = -5.2
x = -5.2÷1.3
x = -4
x -> 1 : 0.6 × -4 + 0.8y = 1.6
-2.4 + 0.8y = 1.6
0.8y = 4
y = 4÷0.8
y = 5
Write an expression that describes the number of tiles for any stage in the visual pattern.
The number of tiles at any stage can be described with the expression below:
aₙ = 2 + 4n
From the diagram the number of tiles increase by 4 . Therefore, the expression that describe this pattern can be gotten by using arithmetic progression.
Arithmetic progression formulaAP = a + (n - 1)dwhere
a = first term
d = common difference
n = number of terms
6, 10, 14
d = 10 - 6 = 4
a = 6
aₙ = 6 + (n - 1)4
aₙ = 6 + 4n - 4
aₙ = 2 + 4n
learn more on pattern here: https://brainly.com/question/21322373
Answer:
n * 1 or 4n / 4
Notes:
Hi, I have the same question as you. My guesses are n * 1, and 4n / 4. I put these in but they say they're incorrect, so I don't know. Sorry.
Peter owns a candy store. His starting balance last month was $15,300. His ending balance was $12,500. What is Peter Burn Rate? Click this link to open the Business Financials Part 2 Study Guide to view the formula used for this problem! Type a comma to separate the digits and type the $ symbol when you enter your answer as shown below: Example: $15,300
The burn rate is a value gotten per time, since the time is 1 month, and the difference between the start and ending balances is $2,800
Hence the burn rate is $2,800 per month
Rate of an expressionGiven Data
Starting Balance = $15,300
Ending Balance = $12,500
Duration = 1 month
Let us find the difference between the starting and the ending balance
= $15,300 - $12,500
= $2,800
Now we have the difference in amount, hence the burn rate will be
Burn Rate = $2,800 per month
Learn more about rate here:
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Please Help me !!!!!Toney tossed a coin off a 20-foot bridge. The path of the coin's height can be modeled by the equation
h(t)=−16t^2+40t+20
What is the initial velocity of the coin?
Question options:
20 feet per second
16 feet per second
32 feet per second
40 feet per second
Answer:
40 ft, max height
Step-by-step explanation:
Nick tossed a penny off a 20 foot bridge.
The path of the penny's height can be modeled by the equation h(t) = -16t^2 + 40t + 20.
Find the maximum height of the penny.
:
Find the axis of symmetry, x = -b/(2a); a=-16, b=40
2. Ebony’s bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8.
(a) Decide . Explain how you determined these amounts.
(b) Estimate . Explain how you determined these amounts.
Jade said that the amount of money Ebony took out of her account each day between Day 8 and Day 12 was the same amount of money she put into her account each day between Day 0 and Day 4. Recall that Day 12 is when the balance first reached $0. Without doing any calculations, how could you show Jade why that cannot be true?
need correct answer and pictures that shows it was correct please and thank you for whoever helps me out
Answer:
It’s 400
Step-by-step explanation:
400 you started with and 400 on day 8 is 0 increese so 400
Answer:
she has $400 in 4 days, that means she gets $100 each day, on the 8th day she must have had $800 then spent $400
Step-by-step explanation:
the answer is the explanation
4(2x+2)=8(2-3x)
Give explanation please
Answer:
4(2x+2)=8(2-3x)
First I am going to distribute the 4 and the 8 on the sides of the equation.
This gets me to
8x + 8 = 16 - 24x
then subtract 8x on both sides to get
8 = 16 - 16x
then subtract 16 on both sides to isolate the -16x
-8 = -16x
then divide by -16 on both sides, to make the x variable positive and isolate the variable even more.
0.5 = x
Step-by-step explanation:
each step is highlighted in bold, and the equation after the step is shown below the bolded line.
3x+2y=11
y=x+3
solve using the system of equations using the method of substitution. show work
3+8=11
Step-by-step explanation:
3×1=3
y=(1)+3
y=4
3(1)+2(4)=11
so then 3+8=11
Answer:
x=1 and y=4
Step-by-step explanation:
3x+2y=11...........(1)
y=x+3................(2)
Substituting the value of y in equation (1).
3x+2(x+3)=11
3x+2x+6=11
5x=11-6
5x=5
x=5/5=1
x=1
Now, again
Substituting the value of x in equation 2.
y=1+3=4
y=4
Therefore, x=1 and y=4.
The two area rugs shown are similar. What is the length of the larger rug?
Answer:
57.6 ft squared
Step-by-step explanation:
diverse 9.6 and 8 to get the number you multiply 5 with. Then you get the side length of the other side. You then multiply both of those numbers together. Hope this helps!! Please mark me as brainliest :)
Answer:
Area of bigger rug = 57.6ft squared
Width of bigger rug = 6ft
Step-by-step explanation:
Because the rugs are similar, we can do 9.6/8 = 1.2
1.2 is our scale factor (the amount we need to times or divide by to find other missing widths or lengths)
To find the area of the rug, we want to do width x length, however the bigger rug doesn't have a width. So, we have to calculate the width.
The width of the smaller rug is 5ft, and we know our scale factor is 1.2, so 5*1.2=6
Therefore, the with of the larger rug is 6ft.
Area = 6*9.6=57.6ft squared
Hope this helps!
How can I anwers this
Please answer with steps
|3+5x|
----------- =4
9
Answer:
9 [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Subtract 3 from both sides.5x = 46Divide by 5 on both sides.This will get you 9 [tex]\frac{1}{5}[/tex]If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
My work was a bit shorter since I have answered several of your questions, and you should be able to try doing these types of problems on your own by now.
x - 2y = 3
14x - 8y = 12
Answer:
x = 0, y = -3/2
Step-by-step explanation:
Solve the following system:
{-2 y + x = 3 | (equation 1)
{-8 y + 14 x = 12 | (equation 2)
Swap equation 1 with equation 2:
{14 x - 8 y = 12 | (equation 1)
{x - 2 y = 3 | (equation 2)
Subtract 1/14 × (equation 1) from equation 2:
{14 x - 8 y = 12 | (equation 1)
{0 x - (10 y)/7 = 15/7 | (equation 2)
Divide equation 1 by 2:
{7 x - 4 y = 6 | (equation 1)
{0 x - (10 y)/7 = 15/7 | (equation 2)
Multiply equation 2 by 7/5:
{7 x - 4 y = 6 | (equation 1)
{0 x - 2 y = 3 | (equation 2)
Divide equation 2 by -2:
{7 x - 4 y = 6 | (equation 1)
v0 x+y = -3/2 | (equation 2)
Add 4 × (equation 2) to equation 1:
{7 x+0 y = 0 | (equation 1)
{0 x+y = -3/2 | (equation 2)
Divide equation 1 by 7:
{x+0 y = 0 | (equation 1)
{0 x+y = -3/2 | (equation 2)
Collect results:
Answer: x = 0, y = -3/2
Bella buys 4 packets of sandwiches at a bottle of water for £1.20 and 3 packets of crisps. Bella pays with a £20 note. She gets £5.75 change. Each packet of crisps has the same price. Work out the price of each packet of crisps.
M'(-5-4) is the image of M after a 90°
counterclockwise rotation about the origin.
What are the coordinates of M?
Step-by-step explanation:
Let coordinate of M(x, y)
we know,
image of M(x,y)-------M'(-y,x)
From question
(-y,x)= (-5,-4)
or, -y = -5 and x= -4
So, y=5 and x= -4
Therefore M(x,y)=M(-4,5)
Which statements are true about the polynomial 28vw 49v 35w? Check all that apply.
The correct statements about the polynomial are as follows;
There are no common variables among all three terms.
The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).
What are the polynomials?
A polynomial is comprised of variables, exponents, constants, and these can be added, subtracted, multiplied, or divided.
Given
The polynomial 28vw + 49v + 35w.
The polynomial can also be written as;
[tex]\rm 28vw + 49v + 35w\\\\7(4vw + 7v + 5w)[/tex]
The correct statements about the polynomial are as follows;
There are no common variables among all three terms.The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).To know more about polynomial click the link is given below.
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If z = 9x2 y2 and (x, y) changes from (1, 2) to (0. 95, 2. 1), compare the values of δz and dz. (round your answers to four decimal places. ).
Sally invests £8000 in a savings account.
The account pays 2.8% compound interest per year
Work out the value of her investment after 4 years. Give your answer to the nearest penny. GUYS PLLS SAVE MEEE
The formula for this is:
Initial amount x multiplier^years
So that is £8000 x 1.028^4 = £8934.33938
That is £8934.34
What is the volume of a square pyramid with a base length of 5 cm and a height of 6 cm?
Enter your answer in the box
Answer:
Step-by-step explanation:
The volume is [tex]V = \frac{1}{3} b^{2} h[/tex]
Known facts:
length of base: 5cmheight of pyramid: 6cmLet us plug in the known value into the pyramid
[tex]v=\frac{1}{3} * 5^{2} *6 = 50[/tex] cubic centimeters
The volume of a square pyramid is 50 cubic centimeters!
Hope that helps!
Nicole had 38 beads. She lost some of them. This can be modeled by the expression 38 - x what does x represent
Answer:
the number of beads she lost
Signs of all six trig functions (Lv1):
Answer:
4th quadrant
Step-by-step explanation:
Sec in Cartesian form is
[tex] \sec( \alpha ) = \frac{r}{x} [/tex]
In order for sec to be positive, we must have a positive x value so we must be in Quadrant 1 or quadrant 4.
cot is negative so that menas y must be negative so.
The quadrant that has a positive x value and negative y value is 4th quadrant.
someone please help, i will
mark as brainliest if correct!
Optima and her cousins Joey, Keith, and Louise were
asked to identify the equation that models the
transformation in the parent function f(x) = x shown
by this graph. Who is correct?
I JUST WANT TO SAY IS NOTHIN
2x+0.8/9=1.2
(solve for x)
.thank you!
Answer:
5/9
Step-by-step explanation:
2x+[tex]\frac{0.8}{9}[/tex]=1.2
2x=1.2-[tex]\frac{0.8}{9}[/tex]
x=[tex]\frac{1.2-\frac{0.8}{9} }{2}[/tex]
x=5/9
Find the protect of -3.5 (-1 1/3
Answer:
14/3 4 2/3, 4.6
Step-by-step explanation:
Hope this helps!!
.......
Help me please
Answer:
ans. option 1.
it is the correct answer
A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of xx.
Solution:
Note that:
x + 46 + (180 - 62) = 180Simplify the equation to find x.
x + 46 + (180 - 62) = 180=> x + 46 = 180 - (180 - 62)=> x + 46 = 180 - 180 + 62=> x + 46 = 62=> x = 16Sum of interiors=exterior
[tex]\\ \rm\bull\rightarrowtail x+46=62[/tex]
[tex]\\ \rm\bull\rightarrowtail x=62-46[/tex]
[tex]\\ \rm\bull\rightarrowtail x=16[/tex]
John's pet service takes care of cats and dogs. Currently, there are 23 cats and 31 dogs at John's Pet Service.
What is the ratio of cats to dogs at the center? What is the ratio of cats to the total number of pets at the
center? Write the ratios in three different ways.
Answer:
Below are the answers
Step-by-step explanation:
Cats to dog's ratio can be written as 23:31 or 23/31 or 23 to 31.
Cats to total number of pets can be expressed as 23:54 or 23/54 or 23 to 54.
