Answer:
The values are k = -2 and c = 1
Step-by-step explanation:
Since it's a division of polynomials we can calculate "c" and "k" by using the inverse operation, which is the product. We need to multiply "x + k" with "3x + 1" and sum it with 3, that should be equal to "3x² - 5x + c". We have:
[tex]3x^2 - 5x + c = (x + k)*(3x + 1) + 3\\3x^2 - 5x + c = 3x^2 + x + 3kx + k + 3\\3x^2 - 5x + c = 3x^2 + (1 + 3k)x + (k+3)[/tex]
In order for two polynomials to be equal, every coefficient must be equal, therefore:
[tex]-5 = 1 + 3k\\1 + 3k = -5\\3k = -5 -1\\3k = -6\\k = -2[/tex]
[tex]c = k + 3\\c = -2 + 3\\c = 1[/tex]
solve for a side in right triangles
Answer:
? =8.77
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite side/ hypotenuse
sin 20 = 3 / ?
? = 3/ sin 20
? = 8.7714132
To the nearest hundredth
? =8.77
Which answer represents a geometric sequence?
A. {1,3,9,27,…}
B. {17,10,3,−4,…}
C. {0,2,4,8,…}
D. {5,10,15,20,…}
Answer:
A.
Step-by-step explanation:
in A. your q is 3 so: a1=1 a2= a1*q=3 a3=a2*q=9 and so on.
i C. its almost the right answer too,but notice that a1 is 0. so 0*2 is still 0 so though it looks almost perfect the first number ruins it
February 2, the temperature at 11 AM was 5°F. At
10 PM, it had dropped to 3°F. To find the number of
degrees the temperature dropped, which equation
could you use? Let x be the number of degrees the
temperature changed.
Answer: x = 2 degrees Fahrenheit
Step-by-step explanation:
5-3= 2 it’s a pretty simple equation
5 + x = -2
I need work and answer!!!!
We need to get x by itself.
We do that by subtracting 5 from both sides.
This leaves us with x = -7.
So x = -7 is the solution.
Answer:
The final answer is [tex]x = -7[/tex] .
Step-by-step explanation:
Solve the equation:
[tex]5 + x = -2[/tex]
Subtract both sides by 5:
[tex]5 - 5 + x = -2 -5[/tex]
[tex]x = -7[/tex]
So, therefore, [tex]x = -7[/tex] is the final answer.
GIVING BRAINLIST TO THE CORRECT ANSWER PLS ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a = -1/2 & k = 3/7
Step-by-step explanation:
Solve for a over the real numbers:
24 a^3 + 8 a^2 + 6 a + 4 = 0
The left hand side factors into a product with three terms:
2 (2 a + 1) (6 a^2 - a + 2) = 0
Divide both sides by 2:
(2 a + 1) (6 a^2 - a + 2) = 0
Split into two equations:
2 a + 1 = 0 or 6 a^2 - a + 2 = 0
Subtract 1 from both sides:
2 a = -1 or 6 a^2 - a + 2 = 0
Divide both sides by 2:
a = -1/2 or 6 a^2 - a + 2 = 0
Divide both sides by 6:
a = -1/2 or a^2 - a/6 + 1/3 = 0
Subtract 1/3 from both sides:
a = -1/2 or a^2 - a/6 = -1/3
Add 1/144 to both sides:
a = -1/2 or a^2 - a/6 + 1/144 = -47/144
Write the left hand side as a square:
a = -1/2 or (a - 1/12)^2 = -47/144
(a - 1/12)^2 = -47/144 has no solution since for all a on the real line, (a - 1/12)^2 >=0 and -47/144<0:
Answer: a = -1/2
______________________________________
Solve for k over the real numbers:
(7 k - 3) (k^2 - 2 k + 7) = 0
Split into two equations:
7 k - 3 = 0 or k^2 - 2 k + 7 = 0
Add 3 to both sides:
7 k = 3 or k^2 - 2 k + 7 = 0
Divide both sides by 7:
k = 3/7 or k^2 - 2 k + 7 = 0
Subtract 7 from both sides:
k = 3/7 or k^2 - 2 k = -7
Add 1 to both sides:
k = 3/7 or k^2 - 2 k + 1 = -6
Write the left hand side as a square:
k = 3/7 or (k - 1)^2 = -6
(k - 1)^2 = -6 has no solution since for all k on the real line, (k - 1)^2 >=0 and -6<0:
Answer: k = 3/7
what is 7=2m-1 plz helps
Answer:
m=4
Step-by-step explanation:
7=2m-1
+1 +1
8=2m
÷2 ÷2
m=4
HELP ME ASAP PLS ! Marianne’s box for camp measures 24 inches by 24 inches by 14 inches. Will her field hockey stick , which is 1 yard long , fit in the box ? Explain your answer
Answer:
Yes
Step-by-step explanation:
24²+24²=x², x = 33.94
33.94²+14²=x², x = 36.71 inches
1 yard is about 36 inches, so it should just fit.
Mark is comparing prices of different brands before he goes shopping. Who has the best deal on ice cream? Brand Size & Price Turkey Hill $4.50 for 30 ounces Breyers $15.36 for 128 ounces Ben & Jerrys $2.88 for 16 ounces
Answer:
Breyers is the correct answer
Step-by-step explanation:
$4.50/30 oz = .15
$15.36/128 oz = .12
$2.88/16 oz = .18
The graph shown can be used to convert between kilometres and miles....
Answer:
where's the picture I can't see it
According to the graph, I can see
42 Miles = 68 Kilometers
32 Miles = 22 Kilometers
The distance between London and Cardiff is 240 Kilometers
Is mile in the metric system?
Mile is under the Imperial System and
Kilometers is under the metric system.
What is metric system?The metric units used for measuring length, mass, area and capacity. For example, millimeters, centimeters, meters, and kilometers are the metric units of the measurement of length. Grams and kilograms are the units for measuring weight.
Learn more about Measuring System here
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A standard deck of 525252 cards contains 444 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards numbered 222 through 101010, a jack, a queen, a king, and an ace. Anthony decides to pick one card at random from a standard deck of 525252 cards. Let AAA be the event that he chooses an ace and HHH be the event that he chooses a heart. What is P(A\text{ or }H)P(A or H)P, left parenthesis, A, start text, space, o, r, space, end text, H, right parenthesis, the probability that the card Anthony chooses is either an ace or a heart?
The question is not properly written
Correct Question
A standard deck of 52 cards contains 4 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards numbered 2 through 10, a jack, a queen, a king, and an ace.
Anthony decides to pick one card at random from a standard deck of 52 cards. Let A be the events that he chooses an ace and H be the event that he chooses a heart.
What is P ( A or H), the probability that the card Anthony chooses is either an ace or a heart?
Answer:
2/13
Step-by-step explanation:
From the question, we have in total, 52 cards.
Step 1
We find the probability that Anthony chooses an Ace.
Number of ace cards in each of four suits namely spades, hearts, diamonds and clubs = 1
Therefore, total number of ace cards out of 52 cards = 4
P(A) = 4/52
Step 2
We find the probability that Anthony chooses an Ace.
Probability that Anthony chooses an heart P(H) = 4/52
Step 3
The probability that the card Anthony chooses is either an ace or a heart
P ( A or H) = P(A) + P(H)
= 4/52 + 4/52
= 8/ 52 = 2 /13
Can someone please help me
Answer:
I think its G, I'm not 100% sure...
Estimate the sum of 381 and 22 by rounding both values to the nearest ten. What is the best estimate of the sum?
400
410
420
430
The best estimate for my answer is 410 to the nearest ten
Answer:
410
Step-by-step explanation:
Bartolo is running a race. He determines that if he runs at an average speed of 15 feet/second, he can finish the race in 6 seconds. If he runs at an average speed of 18 feet/second, he can finish the race in 5 seconds. Which equation represents this inverse variation?
Answer:
The Equation that represents these inverse variation is:
Speed is inversely proportional to Time
Speed (S) ∝ 1/ Time(T)
And the constant of proportionality = Distance(D)
Therefore, Speed = Distance/ Time
Step-by-step explanation:
For an inverse variation, one element increases while the other element decreases. In this question, the element or variable that increases is the speed while the element or variable that decreases is the time.
We can see from the question that
a) If he runs at an average speed of 15 feet/second, he can finish the race in 6 seconds.
b) If he runs at an average speed of 18 feet/second, he can finish the race in 5 seconds
Speed is inversely proportional to Time because the higher the speed, the lesser the time it takes to go or move in a particular direction or to go in a particular distance.
Hence, the Equation that represents these inverse variation is:
Speed is inversely proportional to Time
Speed (S) ∝ 1/ Time(T)
For inverse variation or proportionality, a constant is always needed
And the constant of variation or proportionality = Distance(D)
Therefore, Speed = Distance/ Time
solve for a side in right triangles
Answer:
2.88?
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Keiko plans to watch 2 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.
Answer:
n=2m
Step-by-step explanation:
If she watches 2 movies a month (2m), plug in any number and it will give you how many movies (n) she will watch in however many months.
Answer:
2n
I hope I helped you! If I am correct, please makr me brainiest. Thanks!
will mark brainliest!! 20 points!! i just need a short paragraph on this....look at attachment
Super Strength Inc. has found that the relationship between their sales and their net profit can be described by a polynomial function G(x) in which x is their sales (in thousands of dollars) and G(x) is their net profit (in thousands of dollars). What would be an appropriate domain for this function?
Answer:
x ≥ 0
Step-by-step explanation:
The domain of the profit function G(x) is the set of all possible values that "x" could assume. In this function, "x"represents the sales in thousand of dollars, therefore the minimum possible value is zero (scenario in which there are no sales). Assuming an hypothetical scenario in which the company has an infinite supply capacity, there is no upper limit for what their sales might be. Thus, the domain for the function is x ≥ 0.
Answer:
x > or equal to 0
Step-by-step explanation:
50+50+5050 + 50 + 50 + 50 + 50 + 50 + 50 + 50 + 30
Answer:
5530
Step-by-step explanation:
Answer:
5530Step-by-step explanation:
50 times 9 equals 450
then add the 5050 and 30 to get 5080
then add up 5080 and450 and get your answer of 5530
A calculator screen displays 3.294E6. Write this number in standard form.
Answer:
3.294
Step-by-step explanation:
The standard form of the given number is [tex]3294000[/tex].
Important information:
The calculator screen displays 3.294E6.Standard form:in a calculator, the numbers on the right side of E are the exponent of 10. So, the scientific notation of the given number is:
[tex]3.294E6=3.294\times 10^6[/tex]
It can be written as:
[tex]3.294E6=3.294\times 1000000[/tex]
[tex]3.294E6=3294000[/tex]
Therefore, the standard form of the given number is [tex]3294000[/tex].
Find out more about 'Standard form' here:
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Standard form for y=3×-2
Answer:
3x-y=2
Step-by-step explanation:
y=3x-2
(y-3x)=-2
-3x+y=-2
change the signs on both sides
3x-y=2
=3x-y=2
Brainliest for the correct answers!
Answer:
didn't i answer this on your last post?
you get in a elevator and go down 8 floors. You exit on the 16th floor. What floor you on the elevator
Answer:
24th floor
Step-by-step explanation:
To get the number of the floor you were originally on, you add the number of floors you went down to the current floor you are on so 16 + 8 = 24
Answer:
24
Step-by-step explanation:
x-8=16
16+8=24
Find the quartiles for these data values:
5,7,7,8,10,11,12,15,17
Answer:
The median {Q2} is 10
Q1 is 7+7/2 which is 7
Q3 is 15+12/2 which is 13.5
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
its coreect
Michelle bought 2 soccer balls priced at $24.95 each. She paid for her purchase with three $20 bills. How much change did she receive?
Answer:
$35.05
Step-by-step explanation:
3 $20 bills turns into $60 and 60-24.95=35.05
Brainliest question please help please help me now plz
Answer:
13/b I think
Step-by-step explanation:
3 ft
4 ft
What is the length of the hypotenuse
Write 34.996 to:
i. 2 decimal places
Answer:
34.996 to 2 dcp is 35.00
Step-by-step explanation:
6 rounds up 9 goes to 10 add the 1 left over to make the units number equal 5 but as it is decimal place remember to add the 0's
Answer:
35.00
Step-by-step explanation:
just don't leave the zeros.
If 80% of an item is $144.00, what is the original price?
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
the original price * 80% = 144
Change to decimal form
the original price * .80 = 144
Divide each side by .80
the original price * .80/.80 = 144/.80
the original price =180
Two step equations. Please help
Y=7
Step-by-step explanation:
Move all terms not containing y to the right side of the equation.
4y=22+6
Then add 22 and 6.
4y=28
Divide each term in 4y=28 by 4
4y÷4=28÷4
Cancel the common factor of 4 in the first part of the equation so it looks like this...
y=28÷4
Divide 28 by 4.
Therefore y=7
Hope this helps! If you have any more questions or you need further clarification on anything then please comment down below! Good luck!
Write the quadratic equation in general form. (x-5)2
Answer:
x^2 - 10x + 25
Step-by-step explanation:
I'm hoping that the 2 means squared.
x^2 - 10x + 25
Answer:
x^2 -10x+25
Step-by-step explanation:
(x-5)^2
(x-5)(x-5)
FOIL
first = x*x = x^2
outer:-5x
inner: -5x
last: -5*-5 = 25
Add them together
x^2 -5x-5x+25
Combine like terms
x^2 -10x+25
Standard form is ax^2 +bx +c so this is standard form