For all integer values of x and constant k, if (x-k)(x-5)=x^2-9x+20, what is the value of K?
A) -5
B) -4
C) 4
D) 10
E) 12
============================
Work Shown:
Expand out the left hand side
(x-k)(x-5)
x(x-5)-k(x-5)
x^2-5x-kx+5k
Note that the constant term here is 5k. Yes k seems like a variable, but it's actually a constant. Once we know k, we can replace it to get a fixed number. In this case, k = 4 since 5k = 5*4 = 20 to have it match with the 20 at the end of x^2-9x+20
For the x terms, we have -5x-kx = -5x-4x = -9x which matches with the middle term of x^2-9x+20
Therefore,
(x-k)(x-5) = x^2-9x+20
updates to
(x-4)(x-5) = x^2-9x+20
The -4 and -5 multiply to 20, and they also add to -9. This helps confirm we have the right k value.
What is the value of the expression below when
w = 7 and x = 6?
5w — x
Answer:
The answer is 29
Step-by-step explanation:
5(7)-6 once you put it in the calculator you will get 29 as the answer for all of it. The w is 7 and when you place it next to the 5 you have to multiply it and then subtract it by the x which is the 6.
I hope this helps!
After substituting, the value of expression is 29.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The expression is,
⇒ 5w - x
And, w = 7 , x = 6
Since, The expression is,
⇒ 5w - x
Substitute the value of w and x, we get;
⇒ 5×7 - 6
⇒ 35 - 6
⇒ 29
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20. The formula A = bh can be used to find the area of a triangle.
Solve the formula for h, and use your equation to find the height of
a triangle with an area of 90 cm2 and a base of 15 cm.
Can 0.898989.... be written as a fraction
Answer:
898989/1000000
Step-by-step explanation:
Yes it can be written as a simplified fraction. Since there are 6 numbers to the right of the decimal point, you would move the decimal point to the left of the number.
0.898989
start by moving the decimal point to the left 898989
since you moved your decimal point 6 times to the left it would be 10^6
hence, 898989/1000000
The repeating decimal 0.898989... Or [tex]0.\overline{89}[/tex] can be written as 89/99.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
We know a repeating decimal can be written as a fraction.
We'll put as many 9s in the denominator as there are repeating digits after the decimal and in the numerator, we'll simply write the repeating digits after the decimal.
So, 0.89898989 is 0.89 repeating.
∴ [tex]0.\overline{89}[/tex] = 89/99.
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what is 0.000074 in scientific notation
Answer: 7.4 x 10^ -5
miguel builds a model airplane with the scale 1in = 6ft . if the model is 9.3 inches long how long was the actual airplane ?
answer : 54.2 ft
Answer:
55.8 ft
Step-by-step explanation:
This seems simpler than it is.
So since it's going from inches to feet, we have to first know the conversion rate of inches to feet which is simple, 12 inches=1 foot. So now we have to figure out how many inches is 6 ft, so 12*6 equals 72. So knowing the scale, we can just do 9.3 *72=669.6. But if we want to know how long the actual airplane was in feet, then we have to do 669.6/12 which equals 55.8
Another way we could do it is by doing 9.3*6. This works because if you multiply something 12 and then divide it by 12, it just becomes 1. But doing this, you can't find the actual airplanes length in inches.
Simplify the expression 2(x-5)+3(x+11)
Answer:
2x-10+3x+33
5x+23
Step-by-step explanation:
hope it is helpful
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The Blakely family has driven 50 miles of a 200-mile trip. Their car travels 30 miles per gallon of gas. How many gallons of gasoline, g, will the car use on the remainder of the trip? 2 and one-half gallons gallons gallons 8 and one-third gallons
Answer:
5 gallons of gasoline on the remaining 150miles of the trip
Answer:
5 gallons
step by step answer:
Find the mean absolute deviation of the set of data. 2, 3, 5, 7, 9
Answer:
2.4
Step-by-step explanation:
To find the mean absolute deviation, find how much each value is away from the mean, and divide it by the number of numbers you have. In this case, the mean is 5, and the deviation of each number is 4, 2, 0, 2, and 4. Add these up and you get 12. Divide 12 by the number of numbers which you have, which is 5, to get 2.4.
We have that The mean absolute deviation of the set of data. 2, 3, 5, 7, 9 is
[tex]\sigma=2.24[/tex]
From the question we are told
Find the mean absolute deviation of the set of data. 2, 3, 5, 7, 9
Generally the equation for the mean absolute deviation is mathematically given as
[tex]\sigma={\frac{\sum(x-u)}{N}[/tex]
Where
[tex]x=\frac{2+3+5+7+9}{5}\\\\x=5.2[/tex]
Therefore
[tex]\sigma={\frac{\sum(x-u)}{N}\\\\\sigma=\frac{3.2+2.2+0.2+1.8+3.8}{5}\\\\\sigma=2.24[/tex]
Therefore
The mean absolute deviation of the set of data. 2, 3, 5, 7, 9 is
[tex]\sigma=2.24[/tex]
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an integer is 10 times the difference of a rational number and 5. If the value of the integer is 124, what is the value of the rational number?
Answer:
17.4
Step-by-step explanation:
Given the question :
an integer is 10 times the difference of a rational number and 5. If the value of the integer is 124, what is the value of the rational number?
An integer = 124 is 10 times the difference of a rational number and 5
Let the rational number be r
Hence,
124 = 10 × (r - 5)
124 = 10r - 50
124 + 50 = 10r
174 = 10r
Divide both sides by 10
174 / 10 =. 10r / 10
17.4 = r
r = 174 / 10 or 17.4
50 POINTS! Is Brainly lagging for anyone? It's kicking me off the site. A lot. It says something like 502 bad gateway. Also, I'm just putting this under math, and hopefully, people see it.
Answer:
mines working fine thats weird that it's doing that have you tried contacting the company?
No, Brianly is doing fine for me. It may be you'r WIFI but there is no telling.
Simplify |8 - 12 | its geometry
Answer:
-4
Step-by-step explanation:
The mass of Neptune is 1.030 x 1026 kg and the mass of Mars is 6.421 x 1023 kg.
How many times larger in mass is Neptune than Mars?
4. Find the next 3 numbers in the pattern: 87, 78, 69. 60, __ __ __
Answer:
51, 42, 33
Step-by-step explanation:
87, 78, 69, 60, 51, 42 , 33
They all are differences of 9, so just subtract 9 to the the pattern
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-10(-v + 6w) -w - 9(-3w - v)
Step-by-step explanation:
-10(-v + 6w) -w - 9(-3w - v)
= 10v - 60w - w + 27w + 9v
=19v - 34w
Hope this helps.. Good luck :)
what is the absolute value of x-8
That completely depends on what ' x ' is.
write first three terms of AP with a = -1 and d = 1/2
Answer:
first three terms are
-1, -1/2 & 0
Step-by-step explanation:
here,
a=-1
and d=1/2
so
t1 = -1
t2 = a+(n-1)d= -1 +(2-1)*(1/2)=-1/2
t3= a+(n-1)d= -1 +(3-1)*(1/2) =0
Explain how you found the equation that represents Aunt
Andrea's decorating plans from the table.
Help please how do I explain how I found something when I just knew the answer right away?
Answer:
The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.
Step-by-step explanation:
I did it and that is what it gave me
I NEED HELP EXPLAINING HOW I GOT MY ANSWER ILL GIVE 100 POINTS PLEASEEE?!?!?
Answer:
[tex]h = \frac{S - 2πr²}{2\pi r} [/tex]Step-by-step explanation:
S = 2πr² + 2πrh
Move 2πr² to the left side of the equation
That's
2πrh = S - 2πr²
Divide both sides by 2πr to make h stand alone
That's
[tex] \frac{2\pi rh}{2\pi r} = \frac{S - 2πr²}{2\pi r} [/tex]We have the final answer as
[tex]h = \frac{S - 2πr²}{2\pi r} [/tex]Hope this helps you
The cooking time for a mini-loaf of bread is 5 minutes longer than half the time it takes to bake a regular-sized loaf of bread. If it takes 25 minutes to bake a mini-loaf, how long does it take to bake a regular-sized loaf?
10 minutes
20 minutes
30 minutes
40 minutes
Answer:
40 mins
Step-by-step explanation:
Answer:
The answer is correct, it is 40 minutes.
Step-by-step explanation: Edge 2021
This question has two parts. Use the information to answer Part A and Part B. Information 1 A camp leader buys a book for each of her campers. She spends $7.50 on each book. Question 1 ,begin emphasis, Part A,end emphasis, Which expression can be used to find the amount of money the camp leader spends on b books? Question 1 Answer options with 4 options (A.)7.50 times b (B.) 7.50 plus b (C.)7.50 minus b (D.)7.50 divided by b Question 2 ,begin emphasis,Part B,end emphasis, If the camp leader has 12 campers, how much does she spend on the books? Enter the answer in the box. Question 2 Response area with 1 text input box $
Answer:
b
Step-by-step explanation:
because help me me with solve
The expression for the amount of money to buy 'b' books is
(A.) 7.50 times b
if the camp leader has 12 campers the amount of money will be$90.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A camp leader buys a book for each of her campers. She spends $7.50 on each book.
Assuming he bought 'b' no. of books.
∴ The expression for the amount of money to buy 'b' books is 7.50b.
Now if the camp leader has 12 campers the amount of money will be (7.5×12) = $90.
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(1 + i)(13 – 4i)(1 - i)
Answer:
26-8i
Step-by-step explanation:
Maria Gomez is a dental assistant. She earns $12.12 per hour and time and a half for overtime. What is her total pay for a week in which she works 45 hours?ks 45 hours?
Maria Gomez's total pay for the week when she works 45 hours will be $575.70.
How to calculate Total Pay?To calculate Maria Gomez's total pay for a week in which she works 45 hours, we need to consider both regular hours and overtime.
Given:
Regular hourly wage = $12.12 per hour
Overtime rate (time and a half) = 1.5 * Regular hourly wage = 1.5 * $12.12 = $18.18 per hour
Total hours worked in the week = 45 hours
Now, we'll calculate the total pay:
Step 1: Calculate the regular pay for 40 hours (normal working hours):
Regular pay = Regular hourly wage * Regular hours worked
Regular pay = $12.12 * 40 = $484.80
Step 2: Calculate the overtime pay for the additional 5 hours:
Overtime pay = Overtime rate * Overtime hours worked
Overtime pay = $18.18 * 5 = $90.90
Step 3: Add regular pay and overtime pay to get the total pay:
Total pay = Regular pay + Overtime pay = $484.80 + $90.90 = $575.70
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A taxi charges $3, plus $1.50 for each mile traveled. Mr.Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr.Lewis live from the airport
Answer: 18 milles
Step-by-step explanation: ince we have to figure out how many miles away Mr. Hill lives, first we will subtract:
30 - 3 = 27
Then, divide
27 ÷ 1.50 = 18
So, Mr. Hill lives 18 miles away
Answer:
18miles
Step-by-step explanation:
Full cost minus the original cost.
30-3=27
Now you have to divide the cost by 1.5 because you have to find the distance and that is the cost per mile.
$27/1.5=18mi
solve 5.2 = a - 0.4 a= ?
Fernando's lawn is 30 meters wide. His neighbor's lawn is 50 meters wide. In centimeters, what is the difference in width between the two lawns? (hint: 1 m = 100 cm)
Answer:
The difference in width is 2000 cm.
Step-by-step explanation:
The wideness of Fernando’s lawn = 30 meters
Neighbour’s lawn = 50 meters
Now we have to find the difference in width that can easily find out by subtracting the width of Fernando’s lawn from the neighbor’s lawn.
The difference in width = neighbor's lawn - Fernando's lawn
The difference in width = 50 - 30
The difference in width = 20 meters
The difference in width = 20 meters ×100 = 2000 cm.
What is 10% of 110?
Answer:
10%×110
10/100×110
11
Answer:
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Hope it helps :)
10x 2-60
| 0 ||0
Is it correct?
Answer:
No. -40
Step-by-step explanation:
(10 x 2) - 60 = -40
Multiples of 3 are always multiples of 6.
Answer:yes 3x2=6
Step-by-step explanation:
Answer:
No thus statement is not right...
Step-by-step explanation:
3×3=9
but multiples of 6 doesnt have a 9
hope this helped you
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Round 40.8534 by one decimal point
Answer:
40.9
Step-by-step explanation:
8 is beside 5 which is a large number so you add 1 to 8
Answer:
40.9
Step-by-step explanation:
if you rounded to 2 decimal places the answer would be:
40.83.
because the second number after the decimal is 5 or more, we have to round upwards.
this brings us to 40.9 which has 1 decimal place.