Write the equation of a quadratic with x-intercept at 10 and 6 and passing through the point (11,8)
The quadratic equation with x-intercept at 10 and 6 and passing through the point (11,8) is 5y = 8(x²-16x +60).
As given in question,
Given x-intercept at 10 and 6
The quadratic equation with x-intercept is
y = k(x-10)(x-6) ___(1)
Passing through the point (11,8)
8= k(11-10)(11-6)
⇒8=5k
⇒k=8/5
Substitute the value k in (1) to get quadratic equation with x-intercept :
y = (8/5)(x-10)(x-6)
⇒5y = 8(x²-16x+60)
Therefore, the quadratic equation with x-intercept at 10 and 6 and passing through the point (11,8) is 5y = 8(x²-16x +60).
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3)
Which two ratios form a proportion?
A)
4
and
2
B)
IN
4
and
1 8
8
and
D)
IN
16
and
8
Answer:
D is the correct answer
What decimal is equal to 6/20
O 0.2
O 0.3
O 0.6
O 0.8
the imaginary unit i is defined as i = ?
7L+5r=97
What’s the answer for both letters?
Answer:
r = 11
L = 6
Step-by-step explanation:
7(6) = 42
5(11) = 55
42 + 55 = 97
What is perpendicular to 1/6
Note: Your question is a little ambiguous and incomplete. I am assuming you are talking about the slope of lines here.
Answer:
the slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{1}{6}}=-6[/tex]
Step-by-step explanation:
Note: I am assuming you are talking about the slope of lines here.
Given
The slope of line = 1/6
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.Thus, the slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{1}{6}}=-6[/tex]
The formula for any geometric sequence is an = a1 · rn - 1 , where an represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...? an = 4 · ( ) n - 1 an = 2 · 4 n - 1 an = 32 · 2 n - 1 an = 4 · 2 n - 1
Answer:
an = 4 · 2^(n - 1)
Step-by-step explanation:
Given:
an = a1 · r^(n - 1)
Where,
an = value of the n th term
a1 = value of the first term
r = common ratio
n = the term number.
What is the formula for the geometric sequence 4, 8, 16, 32, ...?
a1 = 4
r = 8/4
= 2
n = n(not given)
Substitute the values of a1 and r into the formula
a1 = 4
r = 2
an = a1 · r^(n - 1)
an = 4 * 2^(n - 1)
The correct answer is:
an = 4 · 2^(n - 1)
Answer:
an = 4 · 2^(n - 1)
Step-by-step explanation:
The quotient of 24 and d
Answer:
24/d
Step-by-step explanation:
What does the x equal
Answer:
95 degrees
Step-by-step explanation:
x and 95 are vertical angles, so they are the same measure
a postman brought n letters to a house with two letter-boxes. since the two boxes were empty, he puts 1 mail in each of the two mail boxes. then he chooses one of boxes with probability proportional to number of letters present in that box, and puts the 3rd letter in it. he does this for all subsequent letters. what is the expected number of letters in the box with lower letters?
Which number below is a prime number? O A. 39 O B. 105 O c. 101 OD. 15 asap
Answer:
It should be 101
Is 47/67 terminating, non terminating or repeating
194 people must be split into 2 equal groups. how many people in eachgroup
fast if possible
A customer buys 26 items for a total of $ 75.50 at a plant sale. The customer buys x rosemary plants for $ 1.75 each, y ivy plants for $ 3.75 each, and z patio pots for $ 10.75 each. The customer buys 12 more rosemary plants than ivy plants. Which set of equations could be used to find the number of each type of item the customer buys? Hide Answer Option { x=y+12 x+y+z=26 1.75x+3.75y+10.75z=75.5 } Hide Answer Option { x=12y x+y+z=75.5 1.75x+3.75y+10.75z=1,963 } { x+12=y x+y+z=26 1.75x+3.75y+10.75z=75.5 }
answer is $89.98
Step-by-step explanation:
add
what is the value of the function f(x)=4(x-15) evaluated at x=10?
e^2 x e^3=? jbdbiuevdeqdkjufwdufhdkfbskdjbfwjrbfkuwvkusnaer
Answer:
e^5
Step-by-step explanation:
When you multiply with exponents you add ONLY the exponents and multiply the variables
2. Find f(x)*g(x) *
f (x) = -2x + 4 and g(x) = 2x2 – 3x + 4
Answer:
i believe your answer is ..... f(2x^2-3x+4)= -4x^2+6x-4
Step-by-step explanation:
hope that helps
Line m is perpendicular to x - 3y = -1 and passes through (1,5). What is
the slope of line m?
Answer:
The slope of line m could be -3.
Step-by-step explanation:
I don't know how accurate this is, but I just started out with y=-x+6 and continued experimenting until it was perpendicular.
Please help me in this Im failing.
Answer:
B and C
Step-by-step explanation:
please help!!! i need help asap
Zane's parents keep a chart on the wall where they mark how much Zane grows each year. When Zane was 15, he grew 3/5 of an inch and when he was 16, he grew 1/2 of an inch. In total, how much did Zane grow in during those two years?
Answer:
1 1/10 or 11/10
Step-by-step explanation:
Zane grew 3/5 of an inch during the first year and 1/2 an inch during the second. First, you have to make sure the denominators are the same number. Then, add the numerators. Simplify if needed.
Answer:
1.1 Inches
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator. To get the common denominator I multiplied 3/5 by 2/2 to get 6/10 and I multiplied 1/2 by 5/5 to get 5/10 now that they have a common denominator you can add and you get 11/10 = 1.1
If I have 3 A's, 2 B's, and 1 C, what is my average grade?
It's not a quiz question or whatever, I just wanna know lol
(Also, my bday was on the 11th lol thats why its 13 pts, bc I turned 13 lol)
Solve for the value of x
Answer:
x=16
Step-by-step explanation:
First start of by collecting like terms: 9x+x+x and -8+10+2. There the x's equal 11x and the numbers equal 4. We add those together to make 11x+4. As this is a triangle all the angles add up to 180 degrees, so we equal 11x+4 to 180 degrees. Like 11x+4=180. Subtract the 4 from each sides, to get 11x=176. Then divide both sides by 11, to get x=16
verify by substitution that the given function is a solution of the given differnetial equation. note that any primes denote derivates with respect to x
It is verified that f(x) is a solution of the given differential equation.
It is given that f'(x) = 6x^5A function is a mathematical link that connects a set of inputs to a set of outputs, with each input corresponding to exactly one output.A function is defined as a mathematical link between a group of inputs that each have one output.The function f(x) is x^6 + 14.f(x) = x^6 + 14A differential equation is a mathematical equation that connects one or more unknown functions and their derivatives. In most applications, functions represent physical values, derivatives reflect their rates of change, and differential equations describe a link between the two.Differentiate both sides with respect to x.f'(x) = 6x^5 + 14f'(x) = 6x^5Hence, it is verified that f(x) is a solution of the given differential equation.To learn more about functions, visit :
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Joe painted 28 1/2 square feet in his bedroom in 1/2 an hour. How many square feet can he paint in an hour?
Answer:
57
Step-by-step explanation:
You add 28 1/2 + 28 1/2
solving step
[tex]144x^{2} +36[/tex]
The cost for 4.6 pounds of shrimp is $20.93.
find the unit price in dollars per pound.
Answer: $5.94
Step-by-step explanation: because you divide 20.93 by 4.6 which equals 5.94
The amount of calories you consume after eating x
pieces of candy is represented by the function
y = 150x. Find the domain of the function and
determine whether it is discrete or continuous.
Answer:
Domain: [tex]x[/tex]
Number of pieces of candy: Discrete variable.
Domain of the function: [tex]Dom\{y\} = \mathbb{N}_{O}[/tex]
Step-by-step explanation:
Let [tex]y = 150\cdot x[/tex]. From Function Theory, we know that domain represents the set of values of the independent function, defined by the variable [tex]x[/tex] in this case, whereas the range represents the set of values associated with the domain, defined by the variable [tex]y[/tex] in this case.
Since [tex]x[/tex] represents the number of pieces of candy, this variable has a discrete nature.
In addition, this linear function has a domain represented by the set of natural number and the zero element.
PLS ANSWER ASAP
Subtract.
−13−(−27)
Enter your answer in the box.
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
HELPP!!! WILL GIVE BRAINLIEST AND 5 STARS!!!
Answer:
F=73.74 degrees
Step-by-step explanation:
sin=opposite/hypotenuse
opp=24 hyp=25
sin(F)=24/25 (to find angle have to use inverse sin)
sin-1(24/25)=73.74