Use mid term splitation
[tex]\\ \rm\rightarrowtail 21x^2-55x+14[/tex]
[tex]\\ \rm\rightarrowtail 21x^2-49x-6x+14[/tex]
[tex]\\ \rm\rightarrowtail 7x(3x-7)-2(3x-7)[/tex]
[tex]\\ \rm\rightarrowtail (7x-2)(3x-7)[/tex]
Done!
Answer:
Step-by-step explanation:
Note the x^2 term, 21 can be divided up into 1,3,7,21
and the constant term, 14 is divisible by 1,2,7
Also, note that -55 = -7*7 - 2*3
Break up 21x^2 into 7x*3x and -55x into -49x - 6x,
21x^2 - 55x + 14
= ((7x*3x) - 49x) - 6x + 14
= 7x*(3x - 7) - 2*(3x -7)
= (7x - 2)*(3x - 7)
Now i just need 4 6 5
A window shaped like a parallelogram has an area of 47 2/3 sq. The height of the window is 7 1/3 feet. How long is the base of the window?
Answer:
A = bh
Plug in what we know:
18 1/3 = 3 1/3b
Divide 3 1/3 to both sides:
(18 1/3) / (3 1/3) = b
Convert both of them into improper fractions:
55/3 / 10/3 = b
Flip the 2nd fraction and multiply:
55/3 * 3/10 = b
Multiply the numerators and denominators together:
165/30 = b
Convert to a mixed number:
b = 5 1/2
Step-by-step explanation:
Answer:
47 2/3 ÷ 7 1/3
make them improper fractions;
143/3 ÷ 22/3
Make 22/3 a reciprocal(flip the fraction upside down);
143/3 ÷ 3/22
now multiply across;
143/3 x 3/22 = 6 5/10 which simplifies to 6 1/2 feet.
i need help with geo please i don’t understand:(
I don't know the answer pls help fast I don't get it 25 points pls answer quick
V = 1/3 x B x H
Solve for B:
Multiply both sides by 3:
3v = B x H
Divide both sides by H
B = 3V/H
The answer is C
40 cows can graze a field in 16 days. How many cows will graze the same field in 10 days ? *
Answer:
40 cows=16 days
= 10 days
Step-by-step explanation:
a field is grazed in 16 days by 40 cows so for the same field to be grazed in 10 days more cows are needed
so more/ less
16/10×40
64 cows it should be.
Someone help me with this please
Student tickets for the basketball playoffs cost $9.25 each. How much
do 9 student tickets cost?
Answer: 83.25
Step-by-step explanation:
ahhhhhhhhhhhhhh
Find the measure of <MLN
Answer = one hundred fifty five degrees (155°)
5(2x + 6) = −4(−5 − 2x) + 3x
x=10
Step-by-step explanation:
Solve the equation by completing the square.
x^2 - 12x +35=0
After completing the square, the equation will be what?
Victor has quarters, dimes and pennies in his pocket. He has three times fewer pennies than dimes and he has 4 fewer quarters than pennies. How many coins does he have total if they are worth $4.60
46 coins
D=30
p=10
Q=6
30+10+6=46
The total amount of coins is 46 coins
Let x represent the number of quarters, y represent the number of dimes and z represent the number of pennies.
Each quarter is worth $0.25, each dime is worth $0.1 and each penny is worth $0.01
Since Victor has three times fewer pennies than dimes, hence:
y = 3z
y - 3z = 0 (1)
Victor also has 4 fewer quarters than pennies, hence:
x = z - 4
x - z = -4 (2)
The total worth of the coin is $4.60, therefore:
0.25x + 0.1y + 0.01z = 4.60 (3)
Solving equations 1, 2 and 3 simultaneously gives:
x = 6, y = 30, z = 10
Total coins = 6 + 30 + 10 = 46
Therefore there are 6 quarters, 30 dimes and 10 pennies
Find out more at: https://brainly.com/question/21938284
6. Anthony deposits $800 into a savings account that carns 3.5% interest annually
3) Write an equation for Act), to represent the amount in Anthony's savings account
after 1 years (assume that he makes no withdrawals or deposits).
b) Use your equation to determine how much he will have in his account in 10 years
after 1 year he will get : 800 + 800 x 3,5% = 800 x 1,035 = $828
after 2 years he will get : 828 x 1,035 = 800 x 1,035 x 1,035 = 800 x 1,035²
so
after 10 years he will get : 800 x 1,035¹⁰
Add 17 , 19 , 20 , 20 , and 23
Answer:
99
Step-by-step explanation:
Answer:
=99
Step-by-step explanation:
-(5x3 + x2) + 4(x2 – 3x2) what’s the answer?
Answer:
−5x3−9x2
Step-by-step explanation:
Answer:
[tex]-5x^3-9x^2[/tex]
Step-by-step explanation:
Assuming that the problem is asking you to simplify the given expression and that I read the 'x3's and 'x2's correctly as [tex]x^3[/tex] and [tex]x^2[/tex], this would be your answer.
ATB is a tangent to the circle centre O. Find the values of x y and z in each case.
Answer:
Step-by-step explanation:
divde then add 67b
then complete
Answer:
don't know only i need points to post my question..
How to answer this piecewise function?
Answer:
well the answer is... and then you... which leads to.....
Step-by-step explanation:
This shifts the graph down 1 unit, reflects over the x axis, then vertically dilates by a factor of 2.
=============================================================
Explanation:
Refer to the figures below. The screenshots may be a bit on the big side, so brainly might attempt to reduce the size. To fix this, click on the magnifying glass to get a better look. There are 4 images in total.
Figure 1 is the original graph your teacher gave you.
Figure 2 shows the translation of the parabola 1 unit down. This aligns the right piece of the red parabola to the green V curve. This junction location is (1,0).
Afterward, in figure 3, we reflect the parabola over the x axis to have the left endpoint of the parabola (-3,8) move to (-3,-8). Unfortunately the (-3,-8) doesn't match up with the right most piece of the blue cubic curve.
Luckily, a quick fix is to double the y coordinate from -8 to -16 and the two pieces match perfectly. The other junction is (-3,-16). This is shown in figure 4.
To summarize, we did these transformations in the order presented.
Shift down 1 unit (figure 2)Reflect over the x axis (figure 3)Vertically stretch or dilate by a factor of 2 (figure 4)--------------
Now to shift down 1 unit, we subtract 1 from each g(x) output.
Therefore, we go from g(x) to g(x)-1
Reflect over the x axis to get -(g(x) - 1) = -g(x) + 1
Lastly, we double everything when applying the dilation mentioned to end up with the final answer: -2*g(x) + 2
You can use a tool like GeoGebra to check your work. It's the app I used to make the figures shown below.
What is the rule for this pattern? 1st term:32, 2nd term:36, 3rd
term:40
Answer:
Add four to each sum
Step-by-step explanation:
32, 36, 40
32 + 4 = 36
36 + 4 = 40
Rule: Add four to each sum
Hope this helped!
(Let me know if I got something wrong!)
The diameter of a cylinder is 1 yd. The height is 4 yd.
Find the volume of the cylinder.
Answer:
3.14 cube.yd
Step-by-step explanation:
Volume of cylinder= πr^2h
3.14 × 0.5 × 0.5 × 123.14 cube.ydA principal of $4,570 is placed in an account that earns 4. 5% interest. If the interest is compounded annually, how much money will be in the account at the end of 5 years? a. $4,654. 15 b. $4,775. 65 c. $5,638. 75 d. $5,695. 05 Please select the best answer from the choices provided A B C D.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4570\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=4570\left(1+\frac{0.045}{1}\right)^{1\cdot 5}\implies A=4570(1.045)^5\implies A\approx 5695.05[/tex]
Answer:
The correct answer is D.
Step-by-step explanation:
$5695.05
what is the value of 30-2(7+2)-1
Answer:
11
Step-by-step explanation:
30-2(7+2)-1
30-2(9)-1
30-18-1
12-1
11
Answer: Thy answer to ye question is 11
Step-by-step explanation:
The volume of a cuboid is 432cm3. The length is 3cm and the width is 120mm. Work out the height of the cuboid in cm.
Answer:
dont delete
Step-by-step explanation: why? cause yes
Find the radius of the circle with a diameter of 60 millimeters.
Answer:
Radius = 30milimeters
Step-by-step explanation:
The radius is one-half the diameter so you just divide the diameter by 2
Tom's annual salary is $67,400. a) What is his monthly salary? b)What is his weekly
salary?
Answer:
Monthly salary: $5,617; Weekly salary: $1,296
Step-by-step explanation:
Since there are 12 months in a year, you would divide the number of months by the salary.
67400/12x≈5617
The monthly salary is about $5,617.
Since there are about 52 weeks in a year, you would divide the number of weeks by the salary.
67400/52x≈1296
The weekly salary is about $1,296.
could someone please help ?
Answer:
No
Step-by-step explanation:
Put x = 2 into both equations:
For x- 10 = 2-10 = 8 (Not > 8)
For -0.5x-4 = -0.5*2-4 = -5 (Not < -8)
Hence, the answer is no.
for Money answer this.
Answer:
This is a "strategic" guess
Step-by-step explanation:
It is answer C
figure DEFG, is a square, if EG=4 what is the area of the square?
Answer:
B. [tex]4\sqrt{2}[/tex]
Step-by-step explanation:
EG is equal to 4
ED and DG, however, are equal to [tex]x\sqrt{2}[/tex]
So, we can do [tex]x\sqrt{2} = 4[/tex]
This comes out to [tex]x=2\sqrt{2}[/tex]
So, [tex]x^{2}[/tex] is the area of the square.
[tex]2\sqrt{2} ^{2}[/tex] is equal to [tex]4\sqrt{2}[/tex]
Find the y-intercept for the parabola defined by
this equation:
y= x2 + 8x + 12
Separate the values with a comma.
Answer:
12
Step-by-step explanation:
Set x=0
when you do that, you will find the point where y=12 since x^2+8x=0, but adding the 12 moves up the y-component by 12 units
Does anybody knows this one
Freida’s credit card has an APR of 13. 73%, and it calculates her finance charge by using the daily balance method and a 30-day billing cycle. On September 1st, Freida had a balance of $449. 22. During the month of September, she made a payment of $85. 33 and a purchase of $60. 99. How much greater will her September finance charge be if the purchase occurred on September 7th and the payment occurred on September 20th than it would be if the payment occurred on September 7th and the purchase occurred on September 20th? a. $0. 13 b. $0. 41 c. $0. 72 d. $0. 28.
The September finance charge will be greater by $0.41 if the purchase occurred on September 7th and the payment occurred on September 20th than the payment occurred on September 7th and the purchase occurred on September 20th.
What is the average daily balance method?The average daily balance totals each day's balance for the billing cycle and divides by the total number of days in the billing cycle.
When the payment occurred on 7th and purchase on 20th:
Balance in between September 1st and September 7th = $449.22
Balance in between September 7th and September 20th =449.22-85.33=$363.89
Balance in between September 20th and September 30th = 363.89+60.99
=$424.88
So, the balance on which interest will be applied according to the daily balance method = (449.22 * 6+363.89 * 13+424.89 *11)/30 = $403.322
Interest on this balance = 403.22 * (13.73/12) * (1/100) = $4.615
Similarly, when the payment occurred on the 20th while purchasing on the 7th:
The balance on which interest will be applied according to the daily balance method = (449.22 * 6 + 510.21 * 13 + 424.88*6)/30 = $395.911
Interest on this balance = $395.911 *(13.73/12) * (1/100) = $4.199
Difference between interests = $0.41
Therefore, the September finance charge will be greater by $0.41 if the purchase occurred on September 7th and the payment occurred on September 20th than the payment occurred on September 7th and the purchase occurred on September 20th.
To get more about the daily balance method visit:
https://brainly.com/question/9994944
What is the volume of a right cylinder with a radius of 3 and a height of 10?
Question 3 options:
120π
60π
90π
30π
Answer:
I believe 90π
Step-by-step explanation:
V=πr2h=π·32·10≈282.74334
90π ≈ 282.6