what are the solutions of the equation below
(x-2)(x+9)=0
Answer: {2, -9}
Step-by-step explanation: Think of these two binomials, x -2 and x + 9,
as two numbers that are multiplying together to equal zero.
In order for two numbers to multiply together to equal zero,
either one number or the other number must equal zero.
So for two binomials to multiply together to equal zero,
either one binomial or the other binomial must equal zero.
So we can split this problem up into two parts.
If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.
On the left, add 2 to both sides and we have x = 2.
On the right, subtract 9 from both sides and we have x = -9.
For our final answer we use set notation.
So our answer is {2, -9}.
Answer:
2 and -9
Step-by-step explanation:
x-2=0
x=2
x+9=0
x=-9
6 : 4 is equivalent to
Answer:
12 : 8, 18 : 12, 24 : 16, 30 : 20
Step-by-step explanation:
These are the four after 6:4. I didn't know which you needed.
Answer:
3:2
Step-by-step explanation:
If you want to simplify 6:4, it also makes an equivalent equation. To simplify this, we divide by the greatest number that both numbers can be evenly divided by. 6 and 4 can both be divided by 2, which is the biggest number we can divide both numbers by.
6/2=3
4/2=2
The ratio is now simplified/equivalent to 3:2.
I hope this helps...have an amazing day c:
Tickets for a matinee at the Paramount Theater cost $2 for student tickets and $3 for adult tickets. Our class spends $72 to see the show. The equation of 2x+3y=72, models the total cost, where x is the number of $2 student tickets and y is the number $3 adult tickets.
Find and interpret (explain) both intercepts in the context of this situation.
2x + 3y = 72 is a perfect equation to solve for the number of students and the number of teachers. y= teachers x= students.
The value of y varies directly with x. When y=30, x=0.75. What is the value of y when x=5.25?
Answer:
210
Step-by-step explanation:
According to this question, y varies directly with x. Mathematically, This means that:
y =kx
Where k is the constant variable
If y=30 and x=0.75, then k will be;
k = y/x
k = 30/0.75
k = 40
Since k = 40,
y = 40x
Therefore, when x=5.25, the value of y will be:
y = 40x
y = 40 × 5.25
y = 210.
Determine whether each linear expression is a factor of the polynomial.
X^4+x^3-17x^2+15x
A. X+3
B. X+5
C. X-1
Lucia has 18 muffins she splits them evenly among b boxes write an expression that shows how many muffins that are in each box
Your expression would be 18÷b=
Please help ( if you want )
Answer:
i think its the first one
Step-by-step explanation:
Juan And his little brother had a pizza divided into eight slices of equal size juan ate 5 slices and his little brother ate the rest what fractional part did each person eat? juan ate 5 of 8 slices or his brother ate of 8 slices pieces or?
Answer:
Juan ate 5/8 his little brother ate 3/8
Step-by-step explanation:
Answer:
juan = 5/8
brother = 3/8
Which one is false? :D
what is the answer for the picture that is linked below?
Answer:
18%
Step-by-step explanation:
6840:38000*100 =
(6840*100):38000 =
684000:38000 = 18
You have a sandbox that can only fit no more than 30 cubic feet of sand. At the store, each bag only contains 2.5 cubic feet of sand.
Write and solve an inequality that represents the number of bags b you need to buy.
Answer:
2.56≥30
b≥12
Step-by-step explanation:
An army base had provisions for 300 soldiers for
90 days. After 20 days, 50 soldiers left the army base.
How much longer after this will the food last if the
remaining soldiers consume food at the same rate?
Answer:
Step-by-step explanation:
An army base had provisions for 300 soldiers for 90 days. After 20 days, there should be provisions enough for 300 soldiers for another 70 days
= 21000 soldier-day
50 soldiers left so there are 300-50 = 250 soldiers left
if they consume food at the same rate, the remaining provisions will last
= 21000/250
= 84 days
(8.59 × 104) – (3.2 × 103)
Answer:
563.76
here ya go
Answer:
563.76
Step-by-step explanation:
(8.59 x 104) - (3.2 x 103)
893.36 - 329.6
=563.76
Tommy is purchasing items from an online store. The store charges $6 shipping and handling for each package. Write an expression to represent the total shipping costs. How much will Tommy pay in shipping and handling for 2 packages? (use x as the variable) When entering your answers use only numbers a lower case x and No spaces The equation that represents this scenario is The shipping and handling for 2 packages would be dollars. (only put the number please)
Answer:
The expression to represent the total shipping costs for x package is 6x.
Tommy will pay $ 12 in shipping and handling for 2 packages.
Step-by-step explanation:
Given that the shipping and handling charge for 1 package = $ 6
So, by using the elementary method, the shipping and handling charge for x package is $ 6x.
Hence, the required expression to represent the total shipping costs for x package is 6x.
For 2 package, x=2
So, the shipping and handling charge for 2 package
=6x2
=12.
So, Tommy will pay $ 12 in shipping and handling for 2 packages.
-15
-5=
help with this one?
Answer:
The answer is 3.
Step-by-step explanation:
If you divide a negative by a negative, then it equals a positive, because the two negatives cancel out.
So, -15/-5 = 3.
But, if it were -15/5 = ?
Then it would be -3, because there is only one negative, therefore it cannot cancel out.
Hope this helps! :)
solve each system by substitution. 5) y=-2
4x - 3y = 18
Answer:
x = 3
y = − 2
Step-by-step explanation:
{3x^2-4x-1} - {5-2x+x^2 help
6²[tex]x[/tex]−10
Step-by-step explanation:
wow-
I need help please and thank you
Answer:
F=3x+2/2x
Step-by-step explanation:
Help now please help
Answer:
x = 47
Step-by-step explanation:
So It most likely adds up to 180 degrees so.
x + 10 + x -10 + x - 10 + x + 6 = 180 (collect like terms)
4x -4 = 184 ( add 4 on both sides)
4x = 188 (divide 188 by 4)
x = 47
47 + 10 = 57 ----> x + 10
47 - 10 = 37 -----> x - 10
47 + 6 = 53 ------> x + 6
Answer:
x = 91
Step-by-step explanation:
The sum of interior angles in a rectangle is 360°
x + 10 + x - 10 + x - 10 + x + 6 = 360 add like terms
4x - 4 = 360
4x = 364 divide by 4
x = 91
Stephen collected data from a travel website. The data included a hotel's distance from Times Square in
Manhattan and the cost of a room for one weekend night in August. A table containing these data appears below.
0
1
1
3
4
7.
19
Distance From
Times Square
(city blocks) (x)
Cost of a Room
(dollars) (y)
293 263
244
224
185
170
219
153
136
111
Stephen calculated the linear regression equation to be y = -7.8x + 246.3. Using this equation, find the cost of a
room 5 city blocks away from Time Square.
1) $195
2) $207
3) $238
4) $285
What’s the answer?
Answer:
$207
Step-by-step explanation:
Given the following :
Data:
X : Distance From Times Square (city blocks)
Y: Cost of a Room (dollars) (y)
The linear regression model generated for the data :
y = -7.8x + 246.3
y = predicted variable ; - 7. 8 = slope of model ; x = predictor variable ; 246.3 = intercept
Using the model:
The cost of a Room 5 block away :
x = 5
y = -7.8(5) + 246.3
y = - 39 + 246.3
y = $207.3
Lemonade was on sale last week ;it cost $12 for every 4 packs of lemonade.How much do 2 packs of lemonade cost
Answer:
$6
Step-by-step explanation:
Each pack is $3
So therefore if you multiply 2($3) it is $6 for two packs
The lifetime in months of a transistor in a certain application is random with probability density function:
f(x) = {0.4e^-0.4x, x>0 0, x<0
a. Compute the mean lifetime.
b. Compute the standard deviation of the lifetimes.
c. Compute the cumulative distribution function of the lifetime.
d. Compute the probability that the lifetime will be less than 6 months.
e. Compute the 60^th percentile of the lifetime.
Answer:
Explained below.
Step-by-step explanation:
The probability density function of lifetime in months of a transistor in a certain application is:
[tex]f(x)=0.4\cdot e^{-0.4x};x>0[/tex]
The probability density function suggests that the random variable X follows a exponential function with parameter λ = 0.4.
(a)
Compute the mean lifetime as follows:
[tex]\mu=\frac{1}{\lambda}=\frac{1}{0.40}=2.5[/tex]
Thus, the mean lifetime is 2.5 months.
(b)
Compute the standard deviation of the lifetimes as follows:
[tex]\sigma=\sqrt{\frac{1}{\lambda^{2}}}=\sqrt{\frac{1}{0.40^{2}}}=2.5[/tex]
Thus, the standard deviation of the lifetimes is 2.5 months.
(c)
The cumulative distribution function of the lifetime is:
[tex]CDF=1-e^{-0.40x}[/tex]
(d)
Compute the probability that the lifetime will be less than 6 months as follows:
[tex]P(X<6)=\int\limits^{6}_{0} {0.40\cdot e^{-0.40x}} \, dx[/tex]
[tex]=0.40\times [\frac{e^{-0.40x}}{-0.40}]^{6}_{0}\\\\=-1\times [e^{-0.40\times6}-e^{-0.40\times0}]\\\\=-0.090718+1\\\\=0.909282\\\\\approx 0.9093[/tex]
Thus, the probability that the lifetime will be less than 6 months is 0.9093.
(e)
Compute the 60th percentile of the lifetime as follows:
[tex]P(X<x)=0.60\\\\\int\limits^{x}_{0} {0.40\cdot e^{-0.40x}} \, dx=0.60\\\\0.40\times [\frac{e^{-0.40x}}{-0.40}]^{x}_{0}=0.60\\\\-1\times [e^{-0.40\times x}-e^{-0.40\times0}]=0.60\\\\1-e^{-0.40x}=0.60\\\\e^{-0.40x}=0.40\\\\-0.40x=\ln(0.40)\\\\-0.40x=-0.916291\\\\x=2.2907275\\\\x\approx 2.3[/tex]
Thus, the 60th percentile of the lifetime is 2.3 months.
The median of a set of consecutive odd integers is 138. If the greatest integer in the set is 145, what is the least integer in the set?
Answer:
131
Step-by-step explanation:
Given that:
Median of a consecutive odd integers = 138
Greatest integer In dataset = 145
Least integer in dataset =
Since the integers are consecutive ;
Number of integers to greatest integer value : Greatest integer - median value = 145 - 138 = 7
Hence, 7 integers before the median value should give us the least integer value ;
138 - 7 = 131
CHECK:
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145
Median = (n+1)/2 th term
Median = (15+1)/2 = 8th term = 138
Highest = 145
Least = 131
Answer:
131
Explanation:
It was in a Mathcounts competition
After leaving the runway, a plane's angle of ascent is 17º and its speed is 280 feet per second. How
many minutes will it take for the airplane to climb to a height of 11,000 feet? Round your answer
to two decimal places.
Answer:
45
Step-by-step explanation:
Please help and hurry please
Which could be the first step in solving the equation represented by the model below?
3 x tiles and 4 negative 1 tiles = 2 x tiles and 5 positive 1 tiles
Add 4 positive unit tiles to each side.
Remove 4 unit tiles from each side.
Add 6 positive unit tiles to each side.
Remove 6 unit tiles from each side.
Answer:
the answer is a
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
(6 - 4) × 9
sjjdcnjcbdc
Answer:
18
Step-by-step explanation:
(2) x 9
18
That's it
Byeeeee
Triangle XYZ has coordinates:X (-5,-2)Y (-7,-6)Z(-3,-6). If thetriangle rotates 90° clockwise, what are the coordinates of Y’?
Answer:
(-6, 7)
Step-by-step explanation:
Write an equivalent expression to the following: 1/2 (-6x + 8) – 7
Answer:
-3x -3
If this is not the answer you are looking for plz let me know!!!
Answer:
-6x+8=14
Step-by-step explanation:
1/2*(-6x+8)-7 |+7
1/2*(-6x+8)=7 | ÷1/2
-6x+8=14
You mean sth like this?
how long is 10% of a 24 hour day?
Answer: 2.4
hope this helps
Step-by-step explanation:
2.4 x 10=24
Answer:
0.1 days
calculated to 2.4 hours is 0.1 days hope this helps can I get brainliest
Step-by-step explanation:
h(x)=−x−1, find h(6)
h(x) = -x-1
Then just substitute x =6
Then,
h(6) = (- 6-1)
=> h(6)= -7