Answer:
x² - 8x - 20
Step-by-step explanation:
Given that 2 values of x
x = -2 & 10, then
x + 2 = 0
x - 10 = 0, we enclose them in s bracket, and then proceed to expanding them both, by so doing, we have
(x + 2) (x - 10) =
x² - 10x + 2x - 20 = on collecting like terms, we have something in this mould
x² - 8x - 20
Thus the equation that arises given two numbers -2 & 10 is
x² - 8x - 20 = 0
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
An employee at a construction company is ordering interior doors for some new houses that are being built. There are 2 one-story houses and 4 two-story houses on the west side of the street, which require a total of 64 doors. On the east side, there are 5 one-story houses and 4 two-story houses, which require a total of 88 doors. Assuming that the floor plans for the one-story houses are identical and so are the two-story houses, how many doors does each type of house have?
Each one-story house has
doors, and each two-story house has
doors.
Answer: This is a system of equations, let's set it up. I set the variable for 1 story houses to x and 2 story houses to y. Here are the two equations:
6x + 2y = 72
5x + 7y = 124.
Now we multiply the equations so that when we add them together one of the variables will be cancelled out. I am going to multiply the top equation by 7 and the bottom equation by -2. This gives us
42x + 14y = 504
-10x -14y = -248
Add the two equations together:
32x = 256
Divide by 32 to get x = 8. The one story houses have 8 doors. We can plug this number into one of the original equations and solve for y now. I'm going to use the first equation.
(6*8) + 2y = 72
Now we solve for y
y = 12 So, the 1 story houses have 8 doors and the 2 story houses have 12 doors.
You have a garden row of 20 watermelon plants that produce an average of 30 watermelons apiece. For any additional watermelon plants planted, the output per watermelon plant drops by one watermelon. How many extra watermelon plants should you plant?
Answer: You should plant another 25 watermelons.
Step-by-step explanation:
The total number of watermelons can be calculated as:
W = (20 + x)*(30 - x)
x is the number of plants that we add, for each plant that we add, the output per watermelon plants drops by one watermelon, then if we add x plants, each plant will give (30 - x) watermelons.
We want to maximize this equation, so let's distribute the product.
W = 600 + 30*x + 20*x - x^2
W = 600 + 50*x - x^2
Notice that this is a quadratic equation with a negative leading coefficient, this means that the maximum is at the vertex, and the arms of the equation will open down.
To find the maximum, we can just derive with respect to x, and find the value of x that makes that equal to zero, this is:
W'(x) = dW/dx = 50 - 2*x
W'(x) = 0 = 50 - 2*x
2*x = 50
x = 50/2 = 25.
Then the maximum output will be if you plant 25 more watermelon plants.
And this will be:
W(25) = 600 + 50*25 - 25^2 = 1,225 watermelons
You should plant 5 extra watermelon plants to maximize production.
Since you have a garden row of 20 watermelon plants that produce an average of 30 watermelons a piece, and for any additional watermelon plants planted, the output per watermelon plant drops by one watermelon, to determine how many extra watermelon plants should you plant you must perform the following calculation:
20 x 30 = 600 24 x 26 = 624 25 x 25 = 625 26 x 24 = 624
Therefore, you should plant 5 extra watermelon plants to maximize production.
Learn more in https://brainly.com/question/2173344
Plz help me answer this, Marked brainlest, Marry and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days. Will Mary or Julie reach her goal first? Explain
Answer:
Julie
Step-by-step explanation:
Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.
Answer:
Mary has a rise of 12 and a run of 4. Mary has a slope of 3. Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first. Julie has a rise of 19 and a run of 6. Julie has a slope of 19/6 or 3 and 1/6. Julie will reach her goal first, as she has the greater slope.
Hope this Helps!
Reduce the fraction and find the domain.
[tex]\frac{a(x-2y)}{b(2y-x)}[/tex]
Thanks!
Answer:
-a/bStep-by-step explanation:
a(x - 2y)/b(2y - x) = ⇒ consider x - 2y = - (2y - x)-a(2y - x)/b(2y - x) =-a/b22. (01.05)
A function is created to represent the amount of money you save or spend each day of the week. What
restrictions would be made to the range? (1 point)
The range would only include integers.
The range would only include positive integers.
The range would only include negative integers.
The range would include all real numbers.
Answer:
Step-by-step explanation:
The range would only include positive integers.
For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?
Answer:
Yes.
Step-by-step explanation:
Because.
Answer:
23
Step-by-step explanation:
A linear function contains the following points. (-2,8) (0,6) What are the slope and y-intercept of this function?
Answer:
slope= -1
y-intercept is 6
Step-by-step explanation:
slope = y2-y1/ x2-x1
slope = 6-8/ 0-(-2) = -1
y-intercept is 6 because of (0,6), where the points cross y-axis
The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?
Answer:
Sorry I cant help
Step-by-step explanation:
The value of a school bus reduces from $512000 to $343000 in 3 years. Find the
uniform rate of depreciation per annum (R).
a gardener uses a grow light to grow vegetables indoors. if m<1 = (8x) and m<2 = (7x-4), what is m<1?
Answer:
64
Step-by-step explanation:
help me find the equation pls
Answer:
y= 0 x=1
Step-by-step explanation:
Sleep habits of New Yorkers. New York is known as the city that never sleeps". A random sample of 25 New Yorkers were asked how much sleep they get per night. Statistical summaries of these data are shown below. The point estimate suggests New Yorkers sleep less than 8 hours a night on average. Is the result statistically signicant? n x s min max25 7.73 0.77 6.17 9.78(a) Write the hypotheses in symbols and in words.(b) Check conditions, then calculate the test statistic, T, and the associated degrees of freedom.(c) Find and interpret the p-value in this context. Drawing a picture may be helpful.(d) What is the conclusion of the hypothesis test?(e) If you were to construct a 90% condence interval that corresponded to this hypothesis test, would you expect 8 hours to be in the interval?
Step-by-step explanation:
1.
the null hypothesis:
H0: u = 8 hours ( new Yorkers sleep for 8 hours)
The alternate hypothesis;
H1: u ≠ 8 hours ( new Yorkers sleep less than 8 hours)
b.
test statistic
t = (barX - u)/s/√n
= 7.73-8/0.77/√25
= -1.7532
degree of freedom = n-1
= 25-1 = 24
c.
p(value)
= p(t < -1.7532)
= 0.046
obviously we can see that the p value is less than 0.05 alpha level so we reject the null hypothesis.
d
The data gives strong evidence that new Yorkers sleep less than 8 hours on average every night.
e.
at 90% level of confidence
we have
7.73-0.26334, 7.73+0.26334
= 7.466, 7.993
please check attachment
thank you!
(39×5) to siplifiy please help
Answer:
195
Step-by-step explanation:
you just muliply
Answer:
The answer is 175! :)
I recommend searching or creating a times table for yourself, they are incredibly handy! Easy to print off or write down. :))
Step-by-step explanation:
Find (fog)(x).
f(x) = 6x
g(x) = x + 3
Write your answer as a polynomial in simplest form.
(fog)(x) = ????
Answer:
[tex](fog)(x)=6x+18[/tex]
Step-by-step explanation:
We are given:
f(x)=6x
and g(x)=x+3
We need to find (fog)(x)
(fog)(x) =f(g(x)) i.e we will put value of g(x) into f(x) i.e
[tex](fog)(x)=f(g(x))\\f(g(x))=6(x+3)\\f(g(x))=6x+18[/tex]
So, [tex](fog)(x)=6x+18[/tex]
Maurice made a model of the steel tabletop his model measures 7 inches by 13 inches is the model simular to the original
Please help & thank you.
Answer:
2). 79°; 3). 65°; 4). 45°; 5) 73°
Step-by-step explanation:
m∠4 = 180° - (70° + 65°) = 45°
m∠3 = 180° - (45° + 70°) = 65°
m∠2 + m∠3 = 180° - 36° = 144°
m∠2 = 144° - 65° = 79°
m∠5 = 118° - m∠4 = 118° - 45° = 73°
The graph shows the rate at which water is leaking from a tank. The slope of the line gives the leaking rate in gallons per minute.
Answer:
the rise is 6 and the run is 7. the rate of leaking per minunte is about .8 gallons per minute
Step-by-step explanation:
i think its right this time
What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean?
Complete Question
What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)
A 0.8531
B 0.1468
C 0.9332
D 0.0668
Answer:
The correct option is A
Step-by-step explanation:
Generally from the z table the area under the normal curve to the left corresponding to 1.05 is
[tex]P(Z < 1.05) = 0.8531[/tex]
C(5,-5),D(5,3) what is the distance between the points
What is the value of 15/2+I?
Answer:
First, make the denominators
15/2+2/2
Then, add
17/2
If you want it in decimal points
8.5
Step-by-step explanation:
I hope I explained well, please give me brainliest
-3a - 4(a - 6) = 24 - 7a
Solve the equation
Thanks
-3a-4(a-6)=24-7a
-3a-4a+24=24-7a
-7a+24=24-7a
-7a+24=-7a+24
-7a+24-24=-7a+24-24
Simplify
Subtract the numbers
Subtract the numbers
−7a=-7a
Add 7a to both sides of the equation
-7a+7a =-7a+7a
Simplify
Combine like terms
Combine like terms
0=0
answer is 0=0
PLEASE HELP!!!!!
What is the result when the number 59 is decreased by 7%?
Answer:
= 59 - (59*0.07)
= 59 - 4.13
= 54.87
Answer:
The result would be 54.87
Let a function y represent the water level in a harbor measured in meters, and let x represent the number of hours since high tide. At time x = 0, the water level is 19.5 meters (a maximum). At time x = 6.26 hours, the water level is 10.5 meters (a minimum). The period of the function is 12.5 hours.
After how many hours is the water expected to reach a depth of 17 meters for the first time? Round to the nearest tenth of an hour.
A 2.2 hours
B 6.3 hours
C 12.1 hours
D 12.5 hours
Answer:
A 2.2
Step-by-step explanation:
Steps for solving rational equations
Answer:
1. Find the common denominator.
2. Multiply everything by the common denominator.
3. Simplify.
4. Check the answer(s) to make sure there isn't an extraneous solution.
Step-by-step explanation:
Hope this helps!
The steps for solving rational equations will be to take common factors and simplify the equation.
What are the steps for solving rational equations?A rational equation, abbreviated as P(x) / Q(x), is one that has at least a single fraction with polynomials as the numerator and denominator. Q(x) / P(x). These integers might be on either end of the equation or sometimes both.
The steps are given below.
Discover the common factor.Divide everything by the lowest common factor.Simplify the equation.Verify the response(s) to verify sure there isn't a redundant response.The steps for solving rational equations will be to take common factors and simplify the equation.
More about the steps for solving rational equations link is given below.
https://brainly.com/question/27230278
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What is the inequality of y-2x<=-3
If the graph of f(x) = is translated right 9.5 units and up unit, which function represents the resulting graph? g(x) = – 9.5 g(x) = + 9.5 g(x) = – g(x) = +
Answer:
the answer is d
Step-by-step explanation:
edenuity2020. also I just did it
5(x+2) - 3 = 2x + 7 + 3x *
One Solution
No Solution
Infinitely Many Solutions
5x + 27x - 10 = 8(4x +10)
One Solution
No Solution
Infinitely Many Solutions
Can anyone help me with this i need help quick
Answer:
C
Step-by-step explanation:
y=mx+n m is slope if slopes are perpendicular m1.m2=-1
(2/3) . (-3/2) = -1
m1=2/3
m2=-3/2
y=(2/3)x-3 m=2/3 n= -3
y=(-3/2)x+2 m = -3/2 n = 2
Which numbers should go in the shaded overlap?
Factors of 30
Factors of 20
For which value of p will the equation 6x – 5 = 6x + p have an infinite number of solutions?
A. 5
B. 0
C. -10
D. -5
Answer:
the answer is b
Step-by-step explanation: