First, you should simplify the function expression.
3(x2 + 10x + 5) - 5(x-k) = 3x2 + 30x + 15 - 5x + 5k = 3x2 +15x +15 +5k
In order for the polynomial to be divisible by x, all terms need to divide by x with no remainder. The first two terms clearly divide by x. However, the last two do not. In order for this to work out where k is constant, 5k would have to cancel out the +15 term, leaving nothing to divide by x.
So: 15 + 5k = 0
5k = -15
k = -3
A sample survey of discount brokers showed that the mean price charged for a trade of shares at per share was . The survey is conducted annually. With the historical data available, assume a known population standard deviation of . a. Using the sample data, what is the margin of error associated with a confidence interval (to decimals)
Using the z-distribution, it is found that the margin of error of the confidence interval is:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, it is stated that the population standard deviation is known, thus, the z-distribution is used.
The margin of error of a z-confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.A similar problem is given at https://brainly.com/question/25214883
Use the number line to find the difference of 3 - (-1.5)
your answer is 4.5 you're welcome :-)
Answer:4.5
Step-by-step explanation:
the rule is
positive - negative changes to positive + positive so
3- (-1.5) changes to 3 + 1.5 which equals 4.5
The difference between a number and −22 is equal to the number times 11.
Answer:
The equation looks like this x-(-22)=11x
The answer for the equation is x=11/5
Step-by-step explanation:
Difference between a number (x) and -22
Difference means subtract so x subtracted by -22
x-(-22)
Is equal to: which means you put a =
the number times 11
number is x so x times 11 is 11x
The equation looks like this:
x-(-22)=11x
simplify
x+22=11x
Move x to the other side:
22=10x
Divide 10 on both sides:
x=22/10
Simplify
x=11/5
Hope this helps!
Answer:-11/5
Go Step-by-step-
The difference... -
between a number and 22.... n-22
equal to number times 11...
n-22=11n
subtract n
-22=10n
x=-11/5
PLEASE, I need help ASAP !
Answer:
I'm not 100% sure but I think it's C.
it might also be B. it's one of those 2 for sure but I'm like %80 sure it’s C.
Step-by-step explanation:
please let me know if im right or wrong....
Express the following rate as a unit rate: 28 1/3 minutes to run 3 1/3 miles
Answer:
28.20
Step-by-step explanation:
60 seconds in a minute
1/3 of a minute is 20 seconds
Rewrite the linear equation in the form y = mx + b.
x + 2y = -8
nonsense answers will be reported.
3x^2-24x+48 pls help me
Answer:
This polynomial is either a function like f(x), or it's just =0 and it's solved by a quadratic equation.
Step-by-step explanation:
Let's say it's equal to 0, we can easily divide the whole expression with 3, as obviously 3,24,48 have the same divisor(3), then we are left with:
x²-8x+16=0, then we apply the quadratic equation, and we got only 1 solution and that's x=4
If it is a function f(x), than it will have roots(root of a quadratic function is the x-coordinate where y=0, basically when the parabola intersects the x-axis(y=0), as we'll get that the only root is x=4
Please quickly answer will mark brainliest (100 points) also say answer in text
Step-by-step explanation:
square root of 196 is 14
square root of 169 13
square root of 121 is 11
square root of 225 is 15
square root of 144 is 12
square root of 100 is 10
A cylinder with a radius of 10ft has a volume of 2, 198.0013
What is the height of the cylinder
Answer:
~7 ft
Step-by-step explanation:
2,198.0013 = pi × 10^2 × h
h = 2198.0013 / (3.1416 × 100)
h = 6.996 ft ~ 7 ft
8 × 4/8 =
patulong po
Answer:
4
Step-by-step explanation:
the answer is 4
yep it is because eight cancels out with the other one
Answer:
(8 × 4)/8
so answer=4
When twelve is added to eight times a number, the result is one hundred and fifty. Find the
number.
What is the algebraic inverse of the function f(x) = 5x - 15?
VIEW IMAGE PLEASE!
Answer:
B
----------------------
find c. 2cm 15 degrees 105 degrees C= [?]cm
Answer:
the answer is 122cm
Step-by-step explanation:
105cm+15cm+2cm=122cm
- The weight of 72 identical marbles is 183.6 grams. What is the weight of each marble? Explain how you
know the decimal point of your quotient is placed reasonably.
Answer:
the weight of each marble is 2.55 grams
“In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides.” a. 5 cm, 12 cm, 13 cm b. 4 cm, 5 cm, 7 cm c. 3 cm, 4 cm, 5 cm d. 9 cm, 12 cm, 15 cm
The statement "the square of the longest side is equal to the sum of the squares of the two shorter sides" is true for a right-angled triangle.
(a) 5 cm, 12 cm and 13 cm
The statement is represented as:
[tex]\mathbf{13^2 = 12^2 + 5^2}[/tex]
[tex]\mathbf{169= 144 + 25}[/tex]
[tex]\mathbf{169= 169}[/tex]
Hence, the statement is true for triangle (A)
(b) 4 cm, 5 cm and 7 cm
The statement is represented as:
[tex]\mathbf{7^2 = 5^2 + 4^2}[/tex]
[tex]\mathbf{49 = 25 + 16}[/tex]
[tex]\mathbf{49 = 41}[/tex]
Hence, the statement is not true for triangle (B)
(c) 3 cm, 4 cm and 5 cm
The statement is represented as:
[tex]\mathbf{5^2 = 4^2 + 3^2}[/tex]
[tex]\mathbf{25 = 16 + 9}[/tex]
[tex]\mathbf{25 = 25}[/tex]
Hence, the statement is true for triangle (C)
(d) 9 cm, 12 cm and 15 cm
The statement is represented as:
[tex]\mathbf{15^2 = 12^2 + 9^2}[/tex]
[tex]\mathbf{225 = 144 + 81}[/tex]
[tex]\mathbf{225 = 225}[/tex]
Hence, the statement is true for triangle (D)
Read more about triangles at:
https://brainly.com/question/19182121
1/2(x+24)=21 (distributive property) thanks
Answer:
x=18
Step-by-step explanation:
since x+24 is in parenthesis, we need to distribute 1/2 to all the parts inside the parenthesis.
1/2 * x = 1/2x
1/2 * 24= 12
1/2x+12=21
subtract 12 from both sides
1/2x= 9
divide 1/2 from both sides
x=18
so your answer would be x=18
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{1}{2}(x+24)=21 \rightarrow \frac{1}{2}x + 12 = 21\\\\x = 18[/tex]
»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\frac{1}{2}(x+24) = 21\\\rule{150}{0.5}\\\\\rightarrow \frac{1}{2}*x = \frac{1}{2} \\\\\rightarrow \frac{1}{2} * 24 = 12\\\\\rightarrow \frac{1}{2}x + 12 = 21\\\\\rightarrow \frac{1}{2}x + 12 - 12 = 21 - 12\\\\\rightarrow \frac{1}{2}x = 9\\\\\rightarrow (\frac{1}{2}x)2 = 9 * 2\\\\\rightarrow\boxed{x = 18}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
help pls don't get it wrong I have an election tmr to see if I have good grades pls help
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Answer:
pls mark my brainliest because you didn't wriitten coorect question
Step-by-step explanation:
or security reasons, a company will enclose a rectangular area of 11,200 m2 in the rear of its plant. One side will be bounded by the building and the other three sides by fencing. If the bounding side of the building is 150 m long and 300 m of fencing will be used, what will be the dimensions of the rectangular area?
The dimensions of the rectangle are 150 m and 75 m respectively.
Let x be the length of the rectangular area and y be the width of the rectangular area.
Its area A = xy
Given that its area is 11,000 m², xy = 11000 m² (1)
Also, since the bounding side of the building is 150 m long and the fencing is 300 m, the perimeter of the rectangular area is P = 150 m + 300 m = 450 m.
Also, the perimeter of the rectangular area is P = 2(x + y)
Since P = 450 m
2(x + y) = 450 m
x + y = 225 m (2)
Since the bounding side of the building represents one dimension of the rectangle, x = 150 m.
Substituting x into (2), we get the other dimension
x + y = 225
150 + y = 225
y = 225 m - 150 m
y = 75 m
So, the dimensions of the rectangle are 150 m and 75 m respectively.
Learn more about dimensions of a rectangular area here:
https://brainly.com/question/16818606
Can you please help me with#11?I'm not sure how to find the answer.
Answer:
You need to find the x and y intercepts so...
The x intercept is (18,0) since x=18
The y intercept is (0,12) since y=12
Step-by-step explanation:
Cover the y when you are finding the y intercept
Cover the x when you are finding the x intercept
8x/8
144/8
=18
12y/12
144/112
=12
Last year, the Galaxy Fair Amusement Park installed a family roller coaster they named The Twist. This coaster was designed to accommodate riders from age 4 to adult and features a tall climb hill and several banking turns. Overall, the park has been disappointed in the reception of The Twist, and very few families are riding the coaster this season. After some research, they discovered that park guests think the climb hill is too tall and fast for younger riders. Galaxy Fair Amusement Park has asked a roller coaster design firm to help them redesign The Twist during the coming off season. The quadratic function that represents the current climb hill is () = −0.102 + 3.6 − 2.4 and the quadratic function that represents the proposed redesign of the climb hill is () = −0.032 + 1.62 − 6.87. In these functions, the value of x represents the time, in seconds, since the roller coaster train cars have left the station, and the output variable is the height of the roller coaster track, in feet, above the ground. 1. Rewrite both () and () from standard form into vertex form. Explain your process. HINT: Each function has a common factor. Start by dividing it out. 2. State the vertex of each function. What does each vertex represent in context of The Twist? 3. Compare the a-value of () to the a-value of the parent quadratic function. What effect does this value have on a parabola? 4. Sketch both of the functions () and () on a single xy-plane. Describe the steps you took to create your sketch. 5. Use the vertex forms of () and () and the sketch you created in question 4 to describe the track changes that occur when the function that represents the climb hill is altered from () to (). Do you think these changes will help younger riders better enjoy The Twist? Explain.
Answer:
can you add a picture or summerize this
Step-by-step explanation:
HELP!!! Type the correct answer in the box.
The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below.
[tex]V=\frac{1}{3} \pi r^{2} h[/tex]
Write the formula to calculate the height, h.
Answer:
cone height formulas are, h = 3V/πr 2 and h = √l2 - r2, where V = Volume of the cone, r = Radius of the cone, and l = Slant height of the cone.
Please help me I need help
Can someone please help as I'm not sure how to tackle this step by step? Especially question b, d, g, j, k, l. Not how sure to do it if contains a surd just on its own.
Step-by-step explanation:
√a = 1√a so we can solve them easily:
b) 3√7 -√7= 3√7 - 1√7 =( 3-1)√7= 2√7
d) 5√6 - 2√6+√6= (5-2+1)√6 = 4√6
g) √2+2√2= 3√2
j) √5+5√5 - 3√5 = 3√5
k) 2√3 + √3 - 5√3= -2√3
I) 5√11 + 7√11 - √11 = 11√11
answer question right or else
Answer:
60
Step-by-step explanation:
yes, it's a question
have a great day
Cómo hallar el alcance de una función cúbica?
Answer:
Cómo hallar el alcance de una función cúbica? or How to find the scope of a cubic function?
Step-by-step explanation:
To find the scope of a cubic function, we first need to understand what the term "scope" refers to. In mathematics, the scope of a function refers to the range or set of all possible values that the function can take.
For a cubic function, which is a polynomial of degree three, the scope can vary depending on its coefficient values. Generally, a cubic function will have an infinite scope which means it can take on any real value. This is because the degree of the polynomial is odd and therefore the function's graph will extend to both positive and negative infinity.
However, if there are additional conditions or constraints given for the cubic function, such as restricted coefficients or a limited domain, then the scope may be constrained accordingly. It is important to analyze the specific details of the cubic function in order to determine any limitations on its scope within a defined range.
Question is incomplete the complete question is
One similarity Egypt has to the U.S. federal government?
To know more about cubic function visit:
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3,047.092 in expanded form.
Answer:
it would be-3,000.000+40.000+7.00+0.09+0.002
Step-by-step explanation:
HELLPP!! Find the value of x that makes line m parallel to line n:
Answer:
x = 6
Step-by-step explanation:
Plsssss Help i have no idea how to do this
Answer:
500
Step-by-step explanation:
i need help with this question
Answer:
below
Step-by-step explanation:
I'm not absolutely know what are you asking for the answer, but this graph shows ...
The first 20 minutes he has a constant speed of 1.8/20=0.09 km/min progress to 1.8 km away from home, then has 10 minutes (from 20-30) stop at the spot.
Then he drive home with speed of 0.045 km/min (1.8/40=0.045) for 40 minutes to return to the start point.
Picture below! Plz, answer ASAP. Brainilest will be given!
Answer:
C
Step-by-step explanation:
just use calculator
