Simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 x2 + 1 x2 − 1 x − 4 x + 4
First off, remember that finding the x-intercepts means setting y equal to zero and solving for the x-values, so this question is really asking you to "Solve 4x2 – 2x – 5 = 0".
Now, let's start the completing-the-square process. To begin, we have the original equation (or, if we had to solve first for "= 0", the "equals zero" form of the equation). In this case, we were asked for the x-intercepts of a quadratic function, which meant that we set the function equal to zero
Answer:
D . x + 4Step-by-step explanation:
(x² + 6x + 8) / (x + 2) =(x² + 2x + 4x + 8) / (x + 2) = (x + 2)(x + 4) / (x + 2) = x + 4Correct choice is D
Mr benson wrote y=-x+15 as the equation of a line he asked three of his students to write an equation of a non coincident line that is parallel to the line y=-x+15
HELLLLPPPPPPPPPP ASAP
Answer:
5km
35 divided by 7 is 5
x is greater than 15 A)x>15 B)x<15 C)x≥15 D)x≤15
For the equation, y = 12x, what is the slope of the line?
Consider the graphs of f(x) and g(x).
ent
f(x)
g(x)
If g(x) = f(x) + k, find the value of k.
Answer:
K=7
Step-by-step explanation:
hope it helps you
have a wonderful day!!!
the cost of tuition at a local college is $10,000 and increases 4% each year.what is the cost of tuition after 5 years?
the slope of (-2, -19) and (-12, 11)
A box contains orange balls and green balls. the number of green balls is 10 more than 2 times the number of orange balls. if there are 64 balls all together, then how many green balls and how many orange balls are there in the box
Answer:
52 green, 15 orange-Please mark brainliest hope this helped!
Step-by-step explanation:
g + o = 67 g = green, o = orange, x = total
g = 3o + 7
use substitution: (3o + 7) + o = 67
solve for o:
4o + 7 = 67
4o = 60
o = 60/4 = 15
solve for g:
g + 15 = 67
g = 52
Pls answer quick and small explanation quick for brainlessiest answer
Answer:
Your answer is C.
exponential is to the power of a value and hence c meets the requirements
whaeat is 2+3,inweed to thiks for kingergarten plwse help
Answer:
2 + 3 = 5
Step-by-step explanation:
ones Place Value
2 + 3 = 5
Put the 5 in Ones place
carry
2
+ 3
= 5
An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. From previous records, 35% of all those making reservations do not appear for the trip.A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?B) If six reservations are made, what is the expected number of available places when the limousine departs?C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
Answer:
a) 0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.
b) The expected number of available places when the limousine departs is 0.1.
c) [tex]P(X = 3) = 0.09[/tex]
[tex]P(X = 4) = 0.25[/tex]
[tex]P(X = 5) = 0.32[/tex]
[tex]P(X = 6) = 0.34[/tex]
Step-by-step explanation:
For each reservation, there are only two possible outcomes. Either the person appears for the trip, or the person does not. The probability of a person appearing for the trip is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is given by:
[tex]E(X) = np[/tex]
The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation.
This means that [tex]n = 6[/tex]
35% of all those making reservations do not appear for the trip.
This means that 100 - 35 = 65% appear, so [tex]p = 0.65[/tex]
A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?
This will happen if more than four appear, as the limousine can accommodate up to four passengers on any one trip. So
[tex]P(X > 4) = P(X = 5) + P(X = 6)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{6,5}.(0.65)^{5}.(0.35)^{1} = 0.2437[/tex]
[tex]P(X = 6) = C_{6,6}.(0.65)^{6}.(0.35)^{0} = 0.0754[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) = 0.2437 + 0.0754 = 0.3191[/tex]
0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.
B) If six reservations are made, what is the expected number of available places when the limousine departs?
The expected number of arrivals is given by:
[tex]E(X) = np = 6*0.65 = 3.9[/tex]
Since the are four places:
4 - 3.9 = 0.1
The expected number of available places when the limousine departs is 0.1.
C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
This is the probability of each outcome. So
[tex]P(X = 3) = 0.09[/tex]
[tex]P(X = 4) = 0.25[/tex]
[tex]P(X = 5) = 0.32[/tex]
[tex]P(X = 6) = 0.34[/tex]
write the equation of the center (2,5) and passes through the point (8,5)
Answer: varibles coffeeefishents exponets study then eat
Step-by-step explanation:
Find Tan N=
2/5
5/2
3/4
4/3
Will mark brainliest
Help ASAP giving brainliest
Answer:
24÷8=3
Step-by-step explanation:
because 24÷8=3
. A pilot is flying over a straight highway. He determines the angles of depression to two mileposts to be 32° and 56°, as shown in the figure. The pilot is flying at an altitude of 25,000 ft. Find the distance between point A and point B. Round your answer to the nearest thousandth. [32 56° A B
Answer:
Step-by-step explanation:
tan(90-32)=25000/B and tan(90-56)=25000/A
B=25000/(tan(58)) and A=25000/(tan(34))
B-A=25000/(tan58-tan34)=27003ft
The distance between point A and point B is 23195 ft.
What is the Angle of Depression ?For an object below the level, the angle created by the line of sight and the horizontal plane is called the Angle of Depression.
It is given that
A pilot is flying over a straight highway.
the angles of depression to two mileposts to be 32° and 56°, as shown in the figure
The pilot is flying at an altitude of 25,000 ft.
Tan [tex]\rm \theta[/tex] = Height / (Distance of the point and the plane horizontally )
Tan 32 = 25 /x
x = 25000 / tan 32
x = 40064 ft
tan 56 = 25/x
x = 25000/tan 56
x = 16869 ft
the distance between point A and point B is 23195 ft.
To know more about Angle of Depression
https://brainly.com/question/13514202
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Can anyone help with this question pleasee
Answer:
[tex] y = 1 [/tex]
Step-by-step explanation:
Given:
[tex] a^{3y - 5} = \frac{1}{a^2} [/tex]
Apply the negative exponent rule
[tex] a^{3y - 5} = a^{-2} [/tex]
The bases will cancel each other
[tex] 3y - 5 = -2 [/tex]
[tex] 3y - 5 + 5 = -2 + 5 [/tex]
[tex] 3y = 3 [/tex]
[tex] \frac{3y}{3} = \frac{3}{3} [/tex]
[tex] y = 1 [/tex]
-3 (w-3) - 9w - 9 = 4(w+2) - 12
HELPPPPP
Answer:
w = 1/4
Step-by-step explanation:
Distribute:
-3w + 9 - 9w -9 = 4w + 8 -12
Combine like terms:
-16w = -4
w = 1/4
Answer:
w=1/4
Step-by-step explanation:
-3w+9-9w-9=4w+8-12
-12w=4w+8-12
-12w=4w-4
-12w-4w=-4
-16w=-4
w=-4/-16
w=1/4
FIND THE AREA (LEAVE EXPLANATION)
Answer:
40
Step-by-step explanation:
solve for two squares. Square 1: 32. Square 2: 8. answer: 32 + 8
Dylan bought 3 identical shirts online for a total cost of $71.83 including a flat rate of $7.99 for shipping, Drag numbers to complete an equation to find
the cost of each shirt, s. Each number may be used only once.
3
7.99
71.83
Answer:
3s+7.99= 71.83 .
Step-by-step explanation:
since there are 3 shirts you would multiply s by 3 so 3s. To me it looks like 7.99 is the constant and 71.83 is the total including this constant. so putting all of these together in y=mx+b format you get the equation 71.83= 3s+7.99
hope this helps
Customary American Units of Weight
1 pound = 16 ounces
1 ton = 2,000 pounds or 32,000 ounces
Convert:
3 tons 600 ounces =
ounces
Answer:
3+78=81
Step-by-step explanation:
2+2
help I keep getting it wrong
Answer:
what?????????????????????????
Answer:
What do you need help with?
Step-by-step explanation:
What geometric
constructions can have a
perpendicular bisector?
Answer:
A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (left figure). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.
Ben has 13 fewer beads than Jori. Ben has 27 beads.
How many beads does Jori have?
Answer: 40 beads
Step-by-step explanation: Its said that Ben have 13 fewer beads than Jori. That mean 27+13=40
Answer:
40
Step-by-step explanation:
27 + 13 = 40
Find the area of the shade region in the shown below.
Step-by-step explanation:
rectangle
= 15.3 × (8.2 - 5.7 )
= 15.3 × 2.5
= 38.25
triangle
= 1/2 × (15.3 - 5.1+6.7) × 5.7
= 1/2 × 3.5 × 5.7
= 1/2 × 19.95
= 9, 97
total = 38.25+9.97 = 48.22 ft
x minus 32? i need answer ASAP
Answer:
x-32
Step-by-step explanation:
Answer:
X-32 :)
Explanation:
Put together an expression.
Been stuck on this for a while
Answer:
volume = 502.4 cm³
Step-by-step explanation:
volume = 4²π(10) = 160π = 502.4 cm³
Find a number so that 93.4% of it is 107.
Answer:
~114.56
Step-by-step explanation:
Because you're asked to find the number so that x% is y, we will have to find that number. The equation in that case would be NUM * 0.934 = 107. Divide both sides by .934 to get an answer of approximately 114.56.
What is the weight, in Newtons, of a person on Earth whose mass is 90 kilograms? Gravity near the Earth's surface is 9.8 m/s2.
What is the answer rounded to the nearest tenth?
Answer:
W = 882 N
Step-by-step explanation:
Given that,
The weight of a person, W = 90 kg
The value of acceleration due to gravity, g = 9.8 m/s²
We need to find the weight of the person on Earth. The formula for the weight of an object is given by :
W = mg
Substitute all the values,
W = 90 kg × 9.8 m/s²
W = 882 N
So, the weight of the person is equal to 882 N.
1/4x + ½ = 2/4x + ¾
what are the steps
Answer:
x=-1
Step-by-step explanation:
1/4x+1/2=2/4x+3/4
1/4x+2/4=2/4x+3/4
2/4=(2/4x-1/4x)+3/4
2/4=1/4x+3/4
2/4-3/4=1/4x
-1/4=1/4x
-1=x
x=-1