50 POINTS! HELP NEEDED!
Which of the binomials below is a factor of this trinomial? x2 - 3x - 10
A. x - 1
B. x + 1
C. x - 2
D. x + 2
Answers
x -5
x 2
(x - 5) (x + 2) = x² -3x - 10
x² +2x -5x -10
simplify
x² -3x -10 True
your answer is D.(x+2)
hope this helps
Related Questions
If y varies directly as x^2 find k when x=2 and y=8
Answers
Final answer:
To find the constant of proportionality k when y varies directly as x^2, given that x=2 and y=8, set up the equation y = k × x^2 and solve for k, resulting in k = 2.
Explanation:
If y varies directly as x2, it means that y is equal to k times x2, where k is the constant of proportionality. To find k when x is 2 and y is 8, we set up the following equation based on the definition of direct variation:
y = k × x^2
Substitute the given values into the equation:
8 = k × (2^2)
Solve for k:
8 = k × 4
k = 8 / 4
k = 2
Thus, the constant of proportionality, k, is equal to 2 when x is 2 and y is 8.
Which expressions have a value of 1/2?
Choose all answers that are correct.
A) 2^3/2^4
B) 2^-1
C) 2^0
D) 2^1
Answers
B) 2^-1 = 1/2^1 = 1/2; YES
C) 2^0 = 1; NO
D) 2^1 = 2; NO
Hope this helped!
2^-1 will be 1/2 which is .5
2^3/2^4 you divide the whole numbers and subtract the exponents, so it will be 2^-1 which is .5
A number minus two-thirds of that number is 24
Answers
Solving:
1/3x = 24
x = 72
Hope this helped!
How can you avoid getting a flat tire 1.3?
Answers
To avoid getting a flat tire, one should maintain correct tire pressure, avoid sharp objects on the road, inspect the tires frequently, and consider using tire liners or puncture-resistant tires.
Explanation:To avoid getting a flat tire on a bicycle, regular maintenance is important. This includes checking the tire pressure routinely, which should be ideally conducted every few weeks. Correct tire pressure prevents the tires from getting punctured easily. It's also essential to avoid sharp objects on the road, as these can cause punctures. Regularly inspecting the tires for small cuts and objects stuck into them can also help prevent a flat tire. Lastly, using tire liners or puncture-resistant tires can further protect your tires from getting flat.
Learn more about Tire Maintenance here:https://brainly.com/question/36646505
#SPJ12
An angle is exactly half its complement. what is the angle
Answers
So, the answer: 30 degrees.
God bless!
let x = angle
x = 1/2(90-x)
2x = 90-x
3x=90
x = 90/3 = 30
x = 30 degrees
An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown.
110, 130, 150, 170, ...
Which recursive formula can be used to determine the total amount of money earned for each successive hour worked based on the amount of money currently earned?
Answers
so equation is
f(x)=pay
x=hours worked
solve so
f(1)=110
f(2)=130
f(3)=150
f(4)=170
they seem to be increasing in 20 increments so therefor the pay is linked to hours times 20 so that measn that every hour he works, he gets 20 dollars
therefor the answer is f(n+1)=f(n)+20 since we know that 1 hour=$20 so n+1hour=n+$20
the answe ris f(n+1)=f(n)+20
The recursive formula that could be used for measuring the total amount of money is f(n+1)=f(n)+20.
Given that,
The electrician earns $110.And, the sequence should be 110, 130, 150, 170, and so on. Here we assume that f(x) represent pay. And, x be the number of hours worked.Based on the above information, we can see that there are 20 increments in every next number.
So, the equation should be f(n+1)=f(n)+20
Learn more: brainly.com/question/11679190
The penny size d is given by the literal equation d = 4n - 2, solve for n
Answers
Answer:
The value of the equation for n is [tex]n=\frac{d +2}{4}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]d = 4n - 2[/tex]
We need to solve the equation for n.
Add 2 from both the sides.
[tex]d +2= 4n - 2+2[/tex]
[tex]d +2= 4n [/tex]
Divide both side of the equation with 4.
[tex]\frac{d +2}{4}= \frac{4n}{4} [/tex]
[tex]\frac{d +2}{4}= n [/tex]
Hence, the value of the equation for n is [tex]n=\frac{d +2}{4}[/tex].
the two solutions of 2x squared +1 =5x are j and k. What is the value of (j-1)(1-k)
Answers
1st pair : j=(5+sqrt(17))/4 & k=(5-sqrt(17))/4
2nd pair : j=(5-sqrt(17))/4 & k=(5+sqrt(17))/4
If you look carefully , both of the answers are merely the same , they inly switched between the - and + .
For the first and second pairs , you will get only one answer for (j-1)(1-k) , which is 1
Final answer:
The two solutions of the quadratic equation 2x squared + 1 = 5x are j = 1 and k = 1/2. The value of (j-1)(1-k) with these solutions is 0.
Explanation:
To solve the equation 2x squared + 1 = 5x, we first bring all terms to one side to get a quadratic equation:
2x2 - 5x + 1 = 0
Using the quadratic formula, x = [-b ± √(b2 - 4ac)]/(2a), where a = 2, b = -5, and c = 1, we find that the two solutions (j and k) of the equation are j = 1 and k = 1/2.
The value of (j-1)(1-k) with these values is:
(j - 1)(1 - k) = (1 - 1)(1 - 1/2) = (0)(1/2) = 0
Therefore, the value of (j-1)(1-k) is 0.
Graph y=3x and make a table of values too
Answers
a bunch of has 10 3/4 lb of ground beef that will be priced at 3:40 per pound he divides the me into 8 equal packages to the nearest cent what will be the price of each package
Answers
Look at the diagram. Which angle is complementary to < EOD
A. < EOD
B. < EOC
C. < AOC
D. < AOB
Answers
< EOD + < AOB = 90
60 + 30 = 90
ur answer is < AOB
Answer:
D. [tex]\angle AOB[/tex]
Step-by-step explanation:
Since we know that complementary angles add up-to 90 degrees.
We can see from our given diagram that angle EOA and angle EOC is a linear pair of angles. The measure of angle EOA is 90 degrees, so EOC will be 90 degrees as well (Linear pair of angles must add up to 180 degrees).
We can also see that [tex]\angle EOC=\angle EOD+\angle COD[/tex].
Upon substituting value of angle EOC we will get,
[tex]90^o=\angle EOD+\angle COD[/tex]
We can see from our given diagram that angle COD and angle AOB are vertical angles.
[tex]\angle COD=\angle AOB[/tex]
Since vertical angles are equal, so by substitution property of equality we will get,
[tex]90^o=\angle EOD+\angle AOB[/tex]
Therefore, [tex]\angle AOB[/tex] is complementary to [tex]\angle EOD[/tex] and option D is the correct choice.
what makes this graph misleading?
Answers
it goes from 10,15, 20 to 30. it should actually be 35
the second is accurate because it keeps going up by 50
What is the exact value of the expression the square root of 294. - the square root of 24. + the square root 54.? simplify if possible. 8the square root of 2. 8the square root of 6. 12the square root of 2. 12the square root of 6?
Answers
Sqrt(294) + Sqrt(4x6) + Sqrt(9x6) =
Sqrt(294) + 2Sqrt(6) + 3Sqrt(6) =
Sqrt(294) + 5Sqrt(6)
Don't understand what you mean by the others.
The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of the triangle is 30 cm?
A. 2.5 cm, 5. cm, 7.5 cm
B. 9 cm, 10 cm, 11 cm
C. 7.5 cm, 10 cm, 12.5 cm
D. 2.5 cm, 7.5 cm, 12.5 cm
Answers
the answer is c option
Now suppose that the 5 (identical) prizes will be distributed among the 8 people. a winner can receive more than one prize. in how many ways could the 5 prizes be distributed?
Answers
If you put the number it will become C(5+8-1, 8-1)= C(12,7)
Then the possible way should be:
12!/ 7! 5!= 479001600/ 120*5040= 792 ways
Can someone please simplify 6c^2 + 2.5d - d + 2c^2 - 3d for me?
Answers
Joey has 5.75 made up of all dimes and quarters. If joey has 38 coins. How many of each each coin does he have?
Answers
0.10d + 0.25q = 5.75
0.10(38 - q) + 0.25q = 5.75
3.80 - 0.10q + 0.25q = 5.75
-0.10q + 0.25q = 5.75 - 3.80
0.15q = 1.95
q = 1.95/0.15
q = 13 <=== 13 quarters
d + q = 38
d + 13 = 38
d = 38 - 13
d = 25 <=== 25 dimes
Use inductive reasoning to describe each pattern and find the next two terms of each sequence.
1, 4, 9, 16, 25, …
Answers
1 (+3); 4 (+5); 9 (+7); 16 (+9); 25 (+11); 36 (+13); 49 (+15); 64 (+17); .......
Answer:
B. Multiply by 2; 64, 128.
The difference of three times a number and 4 is -19?
Answers
A bit-map terminal has a 1024x768 display. the display is redrawn 75 times a second. how long is the pulse corresponding to one pixel
Answers
It takes 1 second to draw these number of pixels 75 times.
The drawing rate is
(75*786,432 pixels) per second
The length of the pulse to draw a pixel is
1/(75*786432) s = 1.6954 x 10⁻⁸ s = 0.1695 x 10⁻⁹ s= 0.1695 ns
Answer: 0.17 ns (nanosecond) or 1.695 x 10⁻⁸ s
The pulse corresponding to one pixel is approximately 1.27 microseconds.
Explanation:In this case, we can calculate the duration of the pulse corresponding to one pixel by dividing the time required to redraw the display by the total number of pixels.
Given that the display is redrawn 75 times a second, and the display has a resolution of 1024x768 pixels, the total number of pixels is 1024 * 768 = 786,432 pixels.
To find the duration of the pulse corresponding to one pixel, we can divide the time required to redraw the display (1/75 seconds) by the total number of pixels (786,432 pixels).
Therefore, the pulse corresponding to one pixel is approximately 1.27 microseconds.
f(x) = 2x + 6, g(x) = 4x2 Find (f + g)(x).
Answers are: 8x^3 + 24x
2x+6/4x^2
4x^2 + 2x + 6
-4x^2 + 2x + 6
Answers
F(x) = 2x + 6, g(x) = 4x²
(f + g)(x)= f(x) +g(x) = 4x²+2x+6
Answer: The correct option is
(C) [tex]4x^2+2x+6.[/tex]
Step-by-step explanation: We are given the functions f(x) and g(x) as follows :
[tex]f(x)=2x+6,\\\\g(x)=4x^2.[/tex]
We are to find the value of (f+g)(x).
We know that
for any two functions p(x) and q(x), we have
[tex](p+q)(x)=p(x)+q(x).[/tex]
So, we get
[tex](f+g)(x)\\\\=f(x)+g(x)\\\\=2x+6+4x^2\\\\=4x^2+2x+6.[/tex]
Thus, the required value is [tex](4x^2+2x+6).[/tex]
Option (C) is CORRECT.
"cary is 8 8 years older than dan. in 5 5 years the sum of their ages will be 96 96. find the age of each man now."
Answers
"Cary is 8
years older than Dan. In 5 years the sum of their ages wil equal 96. Find both
their ages now. Solve using equations."
x = Dan's age now
x + 8 = Cary's age now {Cary is 8 yrs older than Dan}
x + 5 = Dan's age in 5 years
x + 13 = Cary's age in 5 years
x + 5 + x + 13 = 96 {in five years the sum of their ages will be 96}
2x + 18 = 96 {combined like terms}
2x = 78 {subtracted 18 from both sides}
x = 39 {divided both sides by 39}
x + 8 = 47 {substituted 39, in for x, into x + 8}
Dan is 39 years old
Cary is 47 years old
NEED ANSWERS ASAP 80 POINT QUESTIONS
a) The value of homes in one area went up by an average of 2.3% in the past year. Estimate the value today of a home that was valued at $265,000 last year.
b) This year, the annual sales through one Century 21 office with 12 sales agents were $42 million. Estimate the revenue for the office if it received an average of 20% of the 6% commission on sales.
c) a) From the revenue in part (b) above, the office manager must pay all costs of operating the sales office, including advertising, utilities, phones, insurance, and salaries for all noncommission employees. For the current year, these costs amount to $468,000. Find the profit as a percent of total revenue to the real estate office and round to the nearest tenth of a percent.
Answers
A) 265,000* 1.023 = $271,095
B) 42,000,000*0.06 = 2,520,000*0.20 = $504,000
C) 504000 - 468000 = 36000/504000 = 0.0714 = 7.1%
Solve: $|2x - 1| = |3x + 5|$. write your answers as a list of numbers, separated by commas,
e.g. "23, 19" (but without the quotes).
Answers
2x - 1 = 3x + 5
2x - 3x = 5 + 1
-x = 6
x = -6
Now, you have to interpret the absolute value. The absolute value of x is always the positive version of whatever the number is. Since x = -6, its absolute value is 6. Therefore, the possible value for x is only one, which is 6.
Solution 1:
If |a| = |b|, then either a = b or a = -b. Hence, if |2x - 1| = |3x + 5|, then either 2x - 1 = 3x + 5 or 2x - 1 = -(3x + 5).
If 2x - 1 = 3x + 5, then x = -6. If 2x - 1 = -(3x + 5), then x = -4/5. Therefore, the solutions are x = \boxed{-6, -4/5}.
Solution 2:
Another approach is to square both sides. Squaring both sides, we get 4x^2 - 4x + 1 = 9x^2 + 30x + 25 (because |a|^2 = a^2 for all a). This simplifies to 5x^2 + 34x + 24 = 0, which factors as (x + 6)(5x + 4) = 0, so the solutions are x = -6 and x = -4/5, as before. You must be careful when using this approach because squaring both sides of an equation can introduce false solutions. Thus, we need to check that both of these "solutions" work in the original expression before declaring them correct.
which is larger 42mm or 10cm, 15mm or 0.15, 10mm or 2 cm
Answers
1. 10 cm
2. 15 mm
3. 2 cm
Hope this helps even though it's pretty late!
the difference of two numbers is 40. Their sum is 66. Find the numbers.
Answers
i) "The difference of two numbers is 40" means: a-b=40, thus
a=b+40
ii) "their sum is 66" means : a+b=66
In i) we found that a=b+40, so substitute a=b+40 in ii):
a+b=66
(b+40)+b=66
2b+40=66
2b=26
b=13
a=b+40=13+40=53
the numbers are 53 and 13
Find the markup $111.00 percent of markup 50%
Answers
50% of 111 = 55.5
Then add 55.5 on 111 = $166.50
Final value $166.50
Answer:
$166.50
Step-by-step explanation:
3. Start with the following statement: Vertical angles are congruent. a. State the conditional and three other forms of the statement. b. Write all 4 forms of the statement using symbols. c. If you know that a statement is true, what do you know about the truth of its converse, inverse, and contrapositive? BONUS: Use at least one truth table AND at least one property to support your reasoning.
Answers
Find two consecutive even numbers such that the sum of the number and twice the greater number is 100
Answers
x+2x+4=100
3x=100-4
3x=96
x=32
The answer is 32 and 34.
By the question
X+2(x+2)=100
3x+4=100
3x=96
X=32
X+2=34
Write the equation of the linear function for which f(0)=3 and f^-1(0)=-2
Answers
and
if [tex]f^{-1}(a)=b[/tex] then f(b)=a
so
since [tex]f^{-1}(0)=-2[/tex] therefor, f(-2)=0
we have 2 points, (-2,0) and (0,3)
we can use slope intercept form
y=mx+b
m=slope
b=y intercept
we have when x=0, y=3, that is the y intercept
y=mx+3
substitute the other point
(-2,0)
x=-2, y=0
0=-2m+3
-3=-2m
divide both sides by -2
[tex]\frac{3}{2}=m[/tex]
the equation is
[tex]y=\frac{3}{2}x+3[/tex]
or
3x-2y=-6 in standard form