Answers
Step-by-step explanation:
what is a square ? or is a number or term/expression for which the square root creates a clean result without any endless positions after the decimal point or non-integer exponents.
for the first problem a is already the right answer.
14b⁴ is not a square term, although b⁴ itself is one (= b²×b²), because 14 is not a square (its square root is an endless number).
1 is actually a square (= 1×1).
b² and y⁴ are squares (b×b and y²×y²).
16b² and 49 are squares (4b×4b and 7×7).
(b+1)⁴ and 4b⁶ are squares ((b+1)²×(b+1)² and 2b³×2b³).
factors of x² + 5x - 6
you know how generic factor multiplication works ?
(x + a)(x + b) = x² + ax + bx + ab
so by comparing, we see that
ax + bx is 5x
therefore
a + b = 5
and
ab = -6
now we could solve this ultimately quadratic problem or (much simpler) use the answer options and see which one fits.
and the right answer is c :
-1 + 6 = 5 (that fits)
-1×6 = -6 (that fits too, so this answer is correct).
Related Questions
How would the number of solutions for an equation with two variables differ from the number of solutions for an equation with only one?
Answers
Answer: An equation with one variable can have no solutions, one solution, or infinitely many solutions. An equation with two variables can have no solutions, one solution, or infinitely many solutions
Step-by-step explanation:
brainliest me
A number is between 14 and 19. It has prime factors of 2 and 3. What is the number
Answers
Answer:
18
Step-by-step explanation:
18devided by 3 is 6 and 18 divided by 2 is 9
The number that has prime factors of 2 and 3 is 18.
What are prime factors?
Prime factors are factors that are prime numbers. Prime numbers are numbers that are divisible by one and itself. Examples are 2 and 3.
What are the factors of the numbers between 14 and 19?
Factors of 15 = 1, 3, 5, 15 Factors of 16 = 1, 2, 4, 8, 16Factors of 17 = 1, 17Factors of 18 = 1, 2, 3, 6, 8, 16To learn more about factors, please check: https://brainly.com/question/26073850
14. Choose the best description of the polynomial:
5y2 + 4y + 24.
A. 5th degree Trinomial
B. 3rd degree Binomial
C. 2nd degree Trinomial
D
4th degree Binomial
Answers
Will give brainliest
Answers
See drawing attached below.
Corresponding angles and sides are congruent to each other. Thus,
∠L corresponds to ∠H
∠J corresponds to ∠P
HU corresponds to LO
PO corresponds to JU
LP corresponds to HJ
∠U corresponds to ∠O
Answer:
thanks for the points bye bye for now love u fin and I will
is 6,8,10 a pythagorem theorem? pls help me due rn
Answers
Answer:
Should be
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
Using the formula a^2+b^2=c^2, take the square of 6 (6x6=36) and 8 (8x8=64) and add them together to get the square of 10 (10x10=100) 64+36 does equal 100. Remember that the biggest number is c and the two sides a and b have to add to get c.
a plumber who is just starting out offers low rates to attract new customers. He charges $35
to visit a client's home, plus an additional $20 per hour.
Write an equation that shows how the cost of a visit, y, depends on its duration in hours, X.
Answers
Answer:
y=20x+35
Step-by-step explanation:
if a plumber who is just starting out offers low rates to attract new customers. He charges $35 to visit a client's home, plus an additional $20 per hour. Then y=20x+35 is equation that shows how the cost of a visit, y, depends on its duration in hours, X.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that
a plumber who is just starting out offers low rates to attract new customers
Plumber charges $35 to visit a client's home, plus an additional $20 per hour.
Let the charges per hour be denoted by x.
and it is given that y is cost of a visit.
We are required to write equation for cost of a visit y.
y equal to twenty x plus thirty five.
y=20x+35
Hence if a plumber who is just starting out offers low rates to attract new customers. He charges $35 to visit a client's home, plus an additional $20 per hour. Then y=20x+35 is equation that shows how the cost of a visit, y, depends on its duration in hours, X.
To learn more on Equation:
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Four points are P(0,4), Q(0,3), R(2,0), S(0,5). Which three of them are collinear?
Answers
In other words, everything but point R.
============================================================
Explanation:
The term "collinear" means "points that fall on the same straight line". Any two points are always guaranteed to be collinear; however the same can't be said for any 3 random points.
In this case, points P, Q and S are all on the vertical y axis which is why they are collinear.
The graph is shown below.
A ship leaves a port and travels 21km on a bearing of 32 and then 45km on a bearing of 287 calculate its distance from the port and the bearing of the port from the ship
Answers
Answer:
44.5 km on a bearing of 134.1°
Step-by-step explanation:
A suitable vector calculator will tell you the location of the ship from port is ...
21∠32° +45∠287° = 44.5∠-45.9°
The bearing of the port is in the reverse direction, so 180° added to this:
180° +(-45.9°) = 134.1°
The distance from port is 44.5 km. The bearing of the port is 134.1°.
_____
Additional comment
The distance from port is perhaps most easily found using the Law of Cosines. It is the third side of a triangle with sides 21 and 45. The included angle is (287° -(180° +32°)) = 75°. The distance is then ...
c = √(a² +b² -2ab·cos(C)) = √(21² +45² -2·21·45·cos(75°)) ≈ √1976.83
≈ 44.5 km
The angle between the 32° bearing and the bearing from the port to the ship can be found using the Law of Sines.
B = arcsin(b/c·sin(C)) = arcsin(45/44.5sin(75°)) ≈ 77.9°
so, the bearing angle from the ship to the port is ...
180° +(32° -77.9°) = 134.1°
__
Bearings are measured clockwise from north. A diagram can be helpful.
Peter made 19 1/8 cups of chili for the
football game. If 14 3/4 cups of the chili were
eaten, how many cups of chili did Peter have left over
have left over?
Answers
Answer:
4.38, aka 219/50
Step-by-step explanation:
Joshua wants to buy a flat-screen TV that costs $625. He saves $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?
A. 8
B. 9
C. 10
D. 11
Answers
Answer:
C. 10 weeksStep-by-step explanation:
Joshua wants to buy a flat-screen TV that costs $625. He saves $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?
A. 8
B. 9
C. 10
D. 11
cost of television divided by weekly savings = number of weeks
625 : 62.50 = 10 weeks
find the measure of each angle indicated
Answers
Answer:
91°
Step-by-step explanation:
The angles are consecutive interior angles (CIA) which add up to 180°.
180 - 89 = 91
solve the proportion (someone pls help)
Answers
Answer:
y = 16
Step-by-step explanation:
11y = 2(24 + 4y)
11y = 48 + 8y
3y = 48
y = 16
Write each decimal as a mixed number or fraction in simplest form.
24. 1.4
25. 0.33
26. 0.24
27. 4.44
28. 2.8
29. 0.05
30. 0.005
31. 7.32
Answers
-33/100
- 24/100
-4 11/25
-2 4/5
-1/20
-1/200
-7 8/25
It goes in order from the way you put it .
Solve the equation 3x^2 - 2x - 10 = 0 . Show all your working and give your answers correct to 2 decimal places.
Answers
Answer:
[tex]x=-1.52,2.19[/tex]
Step-by-step explanation:
Hi there!
[tex]3x^2 - 2x - 10 = 0[/tex]
Use the quadratic formula:
[tex]x=\displaystyle\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex] in the form [tex]ax^2+bx+c=0[/tex]
Plug in the a, b and c values
[tex]x=\displaystyle\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(-10)} }{2(3)}\\\\x=\displaystyle\frac{2\pm\sqrt{4+120} }{6}\\\\x=\displaystyle\frac{2\pm\sqrt{124} }{6}\\\\x=\displaystyle\frac{2\pm2\sqrt{31} }{6}\\\\x=\displaystyle\frac{1\pm\sqrt{31} }{3}\\\\x=-1.52,2.19[/tex]
I hope this helps!
hello,can someone help me with these 2 i dont really get them
Answers
Answer:
7. The area should be 32. Multiply 5 by 4 to get 20. Find the missing length to multiply by 3, which is 4, and multiply. 3 * 4 = 12. Add 20 + 12 and get 32 cm.
8. The area should be 70. You did pretty well, but when finding the area of a triangle, divide the product by 2, or multiply by 0.5. 5 * 8 = 40/2 or 40 * 0.5 which both equal 20. 50, plus the area of the triangle, 20, will get you 70.
a car covered a certain distance at the speed of 24mph. while returning, the car covered he same distance witht eh spped of 16mph. what has his average speed?
Answers
Answer:
19.2
Step-by-step explanation:
You have to trust me, this answer is correct. But here's my solution:
With the formula
Distance=Speed multiplied by Time, we can infer that Speed=Distance/Time.
But we only have one variable (Speed) in the two we need (Speed and Time), we have to pretend we have both variables. You can put the time as 1 hour because that's the most basic unit. Note that this strategy will also work with 2 hours, 3 hours, or any measure of time.
So now for distance, let's see how fast a car can travel 24 miles. When going at 24 mph, then it'll take 1 hour. With 16 mph, then it'll take 1 hour and 30 minutes, so 1.5 or 3/2 hours.
Now we have the distance, which is 2 times 24 (Because the 24 mph and 16 mph both traveled 24 miles), equaling 48, and time, which is 1 hour plus 1.5 hours, which is 2.5 hours.
Now we use the formula Speed=Distance/Time, with 48/2.5=19 1/5 or 19.2
DUBS
(Please consider giving a Brainliest. I spent lots of time on this, and it's honestly the best answer out of all!)
Identify the slope and y-intercept of the
equation 2x + 5y = 20
Answers
Answer:
Slope = - ⅖
Y-intercept = (0, 4), where b = 4
Step-by-step explanation:
Given the linear equation in standard form, 2x + 5y = 20, where A = 2, B = 5, and C = 20:
Start by transforming the standard equation into its slope-intercept form, y = mx + b, where m = slope, and b = y-intercept.
Subtract 2x from both sides:
2x -2x + 5y = - 2x + 20
5y = -2x + 20
Divide both sides by 5 to isolate y:
[tex]\frac{5y}{5} = \frac{-2x + 20}{5}[/tex]
y = - ⅖x + 4 ⇒ This is the slope-intercept form where the slope, m = -⅖, and the y-intercept, b = 4. The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). The y-coordinate is the value of b in the slope-intercept form. Therefore, the y-intercept is (0, 4).
Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $2.12 or the 14-ounce box for $2.74?
Answers
The 14-ounce box is cheaper at a cost of $2.74 than the 10-ounce box.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
First, we have to find the price for each ounce.
So for the 10-ounce box:
⇒ 2.12 / 10
Apply the division operation,
⇒ $0.212 per ounce.
Now for the 14-ounce box:
⇒ 2.74/ 14
Apply the division operation,
⇒ $0.19 per ounce.
Here the cost of the 14-ounce box is less than the 10-ounce box as 0.19 < 0.21
Therefore, the 14-ounce box is cheaper at a cost of $2.74.
To learn more about the division operation click here :
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Mom bought a bag of 12 apples. She discovered that 1/6 of the apples were spoiled. How many apples were spoiled? How many unspoiled apples does Mom have?
Answers
I need help. Maths; sets
Answers
Answer:
14
Step-by-step explanation:
The number of elements in M is 31, so let's make set M the set of the first 31 natural numbers.
M = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31}
Set N has 18 elements. We need to choose 18 elements to place in set N.
The union of sets M and N has 35 elements. That means that since set M contributes 31 elements to the union, set N only contribute 4 new elements to the union. That means that 14 of the 18 elements in N are in common with set M.
Set N can be:
N = {18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35}
Answer: 14
Solve the pair of equation
2x – y=9
4x^2 + 3y^2– 2x + y = 16
Answers
Answer:
[tex]x=\frac{27+\sqrt143i}{8}{} ,\frac{27-\sqrt{143i} }{8}[/tex]
[tex]y=-9+\frac{27+\sqrt{143} i}{4} ,-9+\frac{27-\sqrt{143} i}{4}[/tex]
Step-by-step explanation:
1) Solve for 2x - y = 9
A. Solve for y.
2x - y = 9
B. Subtract 2x from both sides.
-y = 9 - 2x
C. Multiply both sides by -1.
y = -9 + 2x
D. Regroup terms.
y = 2x - 9
2) Substitute y = 2x- 9 into 4x² + 3y² - 2x + y = 16
A. Start with the original equation.
4x² + 3y² - 2x + y = 16
B. Let y = 2x - 9.
4x² + 3(2x - 9)² - 2x + 2x - 9 = 16
C. Simplify.
16x² - 108x + 234 = 16
3) Solve for x in 16x² - 108x + 234 = 16
A. Solve for x.
16x² - 108x + 234 -= 16
B. Move all terms to one side.
16x² - 108x + 234 - 16 = 0
C. Simplify 16x² - 108x + 234 - 16 to 16 x² - 108x + 218
16 x² - 108x + 218 = 0
D. Use the Quadratic Formula.
[tex]x=\frac{108+4\sqrt{143}i }{32}[/tex], [tex]\frac{108-4\sqrt{143} i}{32}[/tex]
E. Simplify solutions.
[tex]x=\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143} i}{8}[/tex]
4) Substitute [tex]x=\frac{27+\sqrt{143}i }{8} ,\frac{27-\sqrt{143}i }{8}[/tex] into y = 2x - 9.
1) Start with the original equation.
y = 2x - 9
2) Let x = [tex]\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143}i }{8} .[/tex]
[tex]y=2*\frac{27+\sqrt{143} i}{8} -9,2*\frac{27-\sqrt{143}i }{8} -9[/tex]
3) Simplify
[tex]y=-9+\frac{27+\sqrt{143}i }{4} ,-9+\frac{27-\sqrt{143i} }{4}[/tex]
PLEASE ANSWER QUICK AND SHOW WORK
Miss Johnson borrow $8,300 to buy a car. She agreed to a
4% interest rate and payments for 5 years.
How much will her interest be?
What is her total debt for buying the car?
Answers
Answer:
Interest: $402.20
Total Debt owed: $9,302.00
Step 1: Multiply the principal (the original amount borrowed) by the interest rate (%):
$8,300 x 4% = 360.00 (interest for one year)
Step 2: Find out how many years she will be paying back the loan and add that number of years to the first payment year ($360). ($360 + 5years = 365 total payments) Then multiply the total number of payments by the interest rate ($365 x .04 = $14.60 interest per payment).
Step 3: Add up all the yearly interests ($14.60 per payment x 12 months = $181.20 yearly interest)
Step 4: Add the yearly interest to the total debt owed.
$9,302 + $181.20 = $9,483.20 total debt
Total amount owing after 5 years = $8,300+($365 x .04 interest rate per payment for 60 months)=10,605.00 dollars owed in 5 years of payments. Interest owed is 10,605 x .04=$410.20 for a grand total of 10,915.20 dollars owed overall for this 4% loan which was paid back over a period of five years with twelve monthly payments per year at four percent interest rate per month ($410.20/12=$34.02).
The measure of ones angle of a triangle is 40. The measure of the other two angles are in a ratio of 3:4
Answers
Answer:
40, 60, 80
Step-by-step explanation:
angles are 40, 3x, 4x
40+ 3x + 4x = 180
40 + 7x = 180
7x = 180 - 40
7x = 140
x = 20
so the angles are 40, 60, 80
A cyclist travels at an average speed of 11 mph for 3 hours. How far did she travel in miles?
Answers
Answer:
33 miles
Step-by-step explanation:
The cyclist traveled for 3 hours ar 11 miles per house to find how many miles she traveled simply multiply the speed times the amount of time traveled 11 times 3 is 33
1 hour = 11 miles
3 hours = 11 x 3 miles
= 33 miles.
Ans: 33 miles
I know this is already answered but I was bored lol.
help.......................................................
Answers
Answer:
Down here ↓↓↓↓↓↓
Step-by-step explanation:
Anything below 1 is a reduce
Anything above 1 is an enlarge
Anything equal to 1 is a preserve
1. Reduce, 0.75 < 1
2. Reduce, 4/5 < 1
3. Enlarge, 4.2 > 1
4. Preserve, 8/8 = 1
5. Enlarge, 7/2 > 1
6. Preserve, 1 = 1
7. Reduce, 0.1 < 1
8. Enlarge, 1 2/3 > 1
9. Enlarge, 12 > 1
-Chetan K
NO LINKS
2. How many solutions does this system have?
2x+y=3
6x = 9 - 3y
O one
Onone
O infinite
Otwo
Answers
Answer:
D - Two.
Step-by-step explanation:I took the test and this was the correct answer.
X(squared) + 16x +60=0
Solving quadric equations by factorising
Answers
Answer:
x = - 10, x = - 6
Step-by-step explanation:
x² + 16x + 60 = 0
Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- ter (+ 16)
The factors are + 10 and + 6 , since
10 × 6 = 60 and 10 + 6 = 16 , then
(x + 10)(x + 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 10 = 0 ⇒ x = - 10
x + 6 = 0 ⇒ x = - 6
<=> x^2 + 6x + 10x + 60 = 0
<=> x(x+6) + 10(x+6) = 0
<=> (x+10)(x+6) = 0
<=> x+10=0 or x+6=0
<=> x= -10 or x= -6
Ok done. Thank to me:>
Help me solve this -> g(x) = 2x + 3
g(7)
Answers
Answer:
17
Step-by-step explanation:
g(7) = 2(7) +3
substitution
Megan spent half of her paycheck on an iPad. Over the weekend she earned $12 from babysitting. If she has $514.50 now. Write and equation and solve to find out how much was her paycheck
Answers
Explanation:
514.50 = -12 + 502.50(2)
She had twice as much money before buying the iPad. 514.5 - 12 = 502.5
502.5 is half of her paycheck, so multiply by 2.
(sinx + cosx)(1 − sinx cosx) ≡ sin3x + cos3x
Answers
Step-by-step explanation:
We will use the LHS to find the RHS.
Step 1: Expand the LHS by multiplying through the brackets and simplify
(sinx + cosx)(1 − sinx cosx) ≡ sinx + cosx - (sinx + cosx (sinx cosx))
≡ sinx + cosx - sin²x cosx - sinx cos²x
Step 2: Use the identity sin²x + cos²x = 1, to rewrite the equation
≡ sinx + cosx - cosx (1 - cos²x) - sinx (1 - sin²x)
Step 3: Simplify the equation by adding like terms
≡ sinx + cosx - cosx + cos³x - sinx + sin³x
≡ sin³x + cos³x [QED]
Reminder:
1 - cos²x = sin²x 1 - sin²x = cos²x (cosx)(cosx) = cos²x