Answer:d
Step-by-step explanation:
The required function is [tex]P(x)=x^2+3x+154[/tex]. So, option D is correct.
Important information:
The solutions of [tex]p(x)=0[/tex] are [tex]-14[/tex] and 11.We need to find the function p(x).
Function:If [tex]x=c[/tex] is a solution of [tex]p(x)=0[/tex], then [tex](x-c)[/tex] is a factor of p(x).
It means [tex](x+14)[/tex] and [tex](x-11)[/tex] are two factor of p(x).
[tex]P(x)=(x+14)(x-11)[/tex]
[tex]P(x)=x^2-11x+14x+154[/tex]
[tex]P(x)=x^2+3x+154[/tex]
Therefore, the correct option is D.
Find out more about 'Function' here:
https://brainly.com/question/19446232
Someone can help???
A ladder is leaning against a house. The distance to the house's edge from the bottom step is 3 ft. and the distance from the edge to the top step is 4 ft. What is the slant of the ladder?
Answer:
The slant of the ladder is 5 ft
Step-by-step explanation:
Look at the attached figure to understand this situation
∵ a represents the distance from the edge to the top step
∵ The distance from the edge to the top step is 4 ft
∴ a = 4 ft
∵ b represents the distance to the house's edge from the bottom step
∵ The distance to the house's edge from the bottom step is 3 ft
∴ b = 3 ft
∵ c represents the slant of the ladder
∴ We need to find c
→ By using the Pythagoras Theorem
∵ c = [tex]\sqrt{a^{2}+b^{2}}[/tex]
∴ c = [tex]\sqrt{(4)^{2}+(3)^{2}}=\sqrt{16+9}=\sqrt{25}[/tex]
∵ [tex]\sqrt{25}[/tex] = 5
∴ c = 5 ft
∴ The slant of the ladder is 5 ft
At a homecoming game, there are 630 students and 1080 alumni in attendance. Express the
ratio of students to alumni as a fraction in simplest form. Explain its meaning,
Answer:
7/12
There are 7 students for every 12 alumni
Step-by-step explanation:
So, the ratio of students to alumni is 630/1080. This means there are 630 students for every 1080 alumni.
However, we can simplify this. If you treat this like a fraction and simplify, it will be much easier. Both numerator and denominator can be divided by 90, so that's what we'll do. 630/90 is 7. 1080/90 is 12.
Therefore, the correct answer is 7/12!
Hope I helped!!!!!!
I’m confused on this type of math
Answer:
all you do is add
Step-by-step explanation:
Factor each of the following expressions into two binomials.
1.x^2-10x+24
2.x^2-12x+27
3.x^2-13x+36
4.x^2-5x-14
5.x^2+x-20
6.x^2-3x-40
7.x^2+2x-48
8.x^2+10x-24
9.x^2-7x-44
10.x^2+x-2
11.x^2+2x+1
12.x^2-x-6
Vinnie Testerverte is standing on the 40 yard line of the Washington Redskins when he throws a pass towards his end zone. The
equation that represents the path of the ball is y = -0.0975x2 + 3.9x + 6 where x represents the number of yards from 40 yard line and y
represents the number of feet the ball is above the ground.
1. How high is the ball when it crosses the
a) 30 yd line?
b) 15 yd line?
C) 5 yd line?
Answer:
a.35.25
b. 42.56
c.23.06
Step-by-step explantion
Just subsitute 30, 15, and 5 for x each time for each question
ex:
y=-0.0975(5)^(2)+3.9(5)+6
Which graph represents the function f(x) = -x + 3)?
Answer: y=−x+3
Step-by-step explanation: the line starts from top left between - 8 and -6 and goes through right under 4 / half a square intercepts on the x axis right onto the 4 and to the part stopping between - 8 and -6 once again, so it basically goes diagonal just be sure to make those marks
A pound of swiss cheese costs $4.00 at the grocery store. Use the
fact that 16 ounces = 1 pound to help you find the cost of 5/6 pound
of swiss cheese. pls help ASAP
Answer:
3.
..2330
Step-by-step explanation:
A tower is 234 meters tall. Jaylon is looking up at the top of the tower and thinking it would be cool to string a zip line from the top of the tower to a platform that is 1.9 meters high. If the angle formed between the zip line and tower would be 76 degrees how many meters of the line is neded?
Answer:
A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.
Step-by-step explanation:
The geometrical representation of the statement is summarized in the figure below attached. The length of the line is represented by hypotenuse of the right triangle, whose value is calculated by the help of trigonometrical relations:
[tex]\cos \alpha = \frac{h}{r}[/tex] (1)
Where:
[tex]\alpha[/tex] - Angle formed between the zip line and the tower, measured in sexagesimal degrees.
[tex]h[/tex] - Vertical distance between the tower and the platform, measured in meters.
[tex]r[/tex] - Length of the zip line, measured in meters.
If we know that [tex]\alpha = 76^{\circ}[/tex] and [tex]h = 232.1\,m[/tex], then the length of the zip line is:
[tex]r = \frac{h}{\cos \alpha}[/tex]
[tex]r = \frac{232.1\,m}{\cos 76^{\circ}}[/tex]
[tex]r = 959.401\,m[/tex]
A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.
Help please helppppp ASAP
What is the equation of the line that passes through the point (6,8) and has a slope of 1/2
Answer:
y = 1/2 + 11
Also:
Plz mark brainliest if this helped :)
how can i solve this?
Answer:
About $804.70
Step-by-step explanation:
So, for this you will need the formula: "A = B(1 + r)^t" It is + 1 since it is an increase.
B = Initial Value
r = rate
t = time
A = B(1 + r)^t
A = 523(1 + 0.09)^5
A = 523(1.09)^5
A = 523(1.5386239549)
A = 804.700328413
A ≈ 804.70
Rewrite the fraction as a decimal. 19/50
Answer:
0.38
Step-by-step explanation:
0.38 is a decimal and 38/100 or 38% is the percentage for 19/50.
need a correct answer please
Answer:
$239.02 and $10177
Step-by-step explanation:
Ann:
2868.32/6= 478.05
478.05/2= 239.02
Ann's sister:
3562.28/7= 508.89
508.89/5= 101.77
dont know if i did this right to be completely honest. but i feel like it's right. sorry if it's not.
The a value of the equation y = a(b)^x represents which of the following?
Answer:
initial starting value.
Step-by-step explanation:
Dontrelle received 30% off when he purchased a rare book
regularly priced at $96.50. How much did Dontrelle pay?
HELP PLEASE!!
Answer:
28.85
Step-by-step explanation:
30% 30% of $96.50 is $28.95
Answer:
$67.55
Step-by-step explanation:
30% off that was 28.95 so you subtract
determine if the sequence is arithmetic. if it is find the common difference. -34,-64,-94,-124
Generally speaking, arithmetic sequences have the form:
an=a1+(n-1)*d
Where:
an=the nth term in the sequence
a1=the 1st term in the sequence
n=the number of terms in the sequence
d=the difference between consecutive terms (i.e. d=an-an-1=a2-a1=a3-a2, etc.)
The SUM of the terms of an arithmetic sequence, notated Sn, is given by:
Sn=[n/2]*[2a1+(n-1)*d]
So if n=8 then:
a8=a1+7d=63
And if there are 94 terms in the sequence then:
S94=[94/2]*[2a1+93d]=47*(2a1+93d)=94a1+4371d=1000
So this is a system of equations where:
{ a1 + 7d = 63 (Multiply this first equation by -94 on both sides and add to second equation)
{ 94a1 + 4371d = 1000
-94a1 - 658d = -5922 (Add this new equation to second equation)
Therefore:
3713d = -4922
So:
d = -4922/3713
Answer: arithmetic / -30
Step-by-step explanation: This is an arithmetic sequence.
The reason I know that is because the same number is being
added each time to get the next term in the sequence.
In this case, we are adding -30 each time to reach the next term.
So the common difference is -30.
answer the question for n
Answer:
el pepe
Step-by-step explanation:
A scale drawing of a mural uses the scale 2 centimeters (cm):10 meters (m). Another scale drawing of the same mural uses the scale 2 cm:4 m. In the first scale drawing, the mural is 7 cm long. What is the length of the mural in the second scale drawing?
Answer:
The answer that you are going to get is 23.56
Step-by-step explanation:
You solve that by multiplying all the numbers and then you divide by 2.
What was R-kelly doing in the basement
Right answers only ;-;
Answer:
Sum he wasn't suupposed to be doing....... ;-;
Step-by-step explanation:
Find the slope between these two points: (2,-1) and (10,-13)
Answer:
-3/2
Step-by-step explanation:
Answer:
-3/2
Step-by-step explanation:
(y2-y1) / (x2-x1)
(-13-(-1)) / (10-2)
=-12/8
simplify
= -3/2
The number of responses to a survey are shown in the Pareto chart. The survey asked 1052 adults how they would grade the quality of their public schools. Each person gave one response,
Find each probability
(a) Randomly selecting a person from the sample who did not give the public schools an A
(1) Randomly selecting a person from the sample who gave the public schools a grade better than a D
(c) Randomly selecting a person from the sample who gave the public schools a Dor an F
(d) Randomly selecting a person from the sample who gave the public schools an A or B
(a) The probability that a randomly selected person did not give the public schools an Als
(Round to three decimal places as needed)
Answer: (a) P(no A) = 0.935
(b) P(A and B and C) = 0.0005
(c) P(D or F) = 0.379
(d) P(A or B) = 0.31
Step-by-step explanation: Pareto Chart demonstrates a relationship between two quantities, in a way that a relative change in one results in a change in the other.
The Pareto chart below shows the number of people and which category they qualified each public school.
(a) The probability of a person not giving an A is the difference between total probability (1) and probability of giving an A:
P(no A) = [tex]1-\frac{68}{1052}[/tex]
P(no A) = 1 - 0.065
P(no A) = 0.935
b) Probability of a grade better than D, is the product of the probabilities of an A, an B and an C:
P(A and B and C) = [tex](\frac{68}{1052})(\frac{258}{1052})(\frac{327}{1052})[/tex]
P(A and B and C) = [tex]\frac{5736888}{1164252608}[/tex]
P(A and B and C) = 0.0005
c) Probability of an D or an F is the sum of probabilities of an D and of an F:
P(D or F) = [tex]\frac{269}{1052} +\frac{130}{1052}[/tex]
P(D or F) = [tex]\frac{399}{1052}[/tex]
P(D or F) = 0.379
d) Probability of an A or B is also the sum of probabilities of an A and of an B:
P(A or B) = [tex]\frac{68}{1052} +\frac{258}{1052}[/tex]
P(A or B) = [tex]\frac{326}{1052}[/tex]
P(A or B) = 0.31
I Need help for this question is kinda confusing
Answer:
6
Step-by-step explanation:
Coefficient term are the numbers that multiply the variables or letters.
In the given expression:
13a means 13 times a , and a is the variable,
so 13 is the coefficient .
6b means 6 times b , and b is the variable ,
so 6 is the coeffi.
Answer:
13
Step-by-step explanation:
Can someone help Eri? ^w^" circumference --- 25 points
Answer: same thing for me
Step-by-step explanation:
Harvard University accepts 6 students for every 100 applicants. How many students will be accepted if 850 applicants apply for admission?Immersive Reader (1 Point)
Answer:
51 students will be accepted if 850 applicants apply for admission.
Step-by-step explanation:
With the information provided, you can use a rule of three to find the amount of students that will be accepted if 850 applicants apply for admission given that you know that Harvard University accepts 6 students for every 100 applicants:
100 → 6
850 → x
x=(850*6)/100= 51
According to this, the answer is that 51 students will be accepted if 850 applicants apply for admission.
Are they parallel? Please answer like the one on the top, I’m trying to get my geography hw in Bc it’s missing
Answer:yes they are
Step-by-step explanation:
please help i will give brainliest
There are 7 girls and 13 boys in a class at a Private
School. Of these students, 5 girls and 3 boys are in
the Running Club. What percentage of the students
at this Private School are in the Running Club?
Answer:
40%
Step-by-step explanation:
the total amount of students are 20
the people in running club are 8
8/20 = .40
.40 as a % is 40%
Answer:
40%
Step-by-step explanation:
I’m really stuck please help me
Answer:
well the question asked for the point (2,2)
Answer:
2,2
Step-by-step explanation:
You look at where the x is on the x axis, then you look at where the x is on the y axis to find the number, the x number always is written first.
Can somebody help mee plzzzzzzzz
Answer:
lines a and b are parallel. The slopes are -1/3
None of the lines are perpendicular to each other.
Step-by-step explanation:
To figure out if any of the lines are parallel or perpendicular to each other, you have to find the slopes of each line. To find the slope look at the graph find the rise over run for all of the lines:
line a: This line goes down one every time it goes over 3, which can be represented by -1/3
line b: This lines goes down one every time it goes over 3, which can also be written as -1/3
line c: This line goes up 5 every time it goes over 2, which makes the slope 5/2
When two lines are parallel, they have the same slope. Line a and line b have the same slope, so they are parallel.
When two lines are perpendicular, their slopes are negative reciprocals of each other. Since none of the slopes are a negative reciprocal of another slope, we have no perpendicular lines.
Hope this helps :)
I need help with the question below
Answer:
27
Step-by-step explanation: