Answer:
y = 3x² + 5x + 1
x = -b±√b²-4ac/2a
a = 3, b = 5 c = 1
x = -5±√5²-4(3)(1)/2(3)
x = -5±√25-12/6
x = -5±√13/6
The number that belongs in the green box is -5.
Given:
Quadratic equation y = 3x² + 5x + 1 into the quadratic formula,
which is [tex]\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex], determine the values of a, b, and c from the given equation.
Comparing the equation y = 3x² + 5x + 1 with the standard quadratic form y = ax² + bx + c
a = 3
b = 5
c = 1
Now, substitute these values into the quadratic formula:
x = (-(5) ± √((5)² - 4(3)(1))) / (2(3))
x = (-5 ± √(25 - 12)) / (6)
x = (-5 ± √(13)) / 6
Therefore, the quadratic equation y = 3x² + 5x + 1 can be expressed in the quadratic formula as: x = (-5 ± √(13)) / 6
Thus, the number is -5.
Learn more about Quadratic Equation here:
https://brainly.com/question/30098550
#SPJ4
Select three correct interpretations about the graph of r(t).
T
A. The average mortgage rate increased continuously
between 2003 and 2005.
B. The average mortgage rate fell to a relative minimum
between 2002 and 2003.
C. Based on the y-intercept, the average mortgage rate in
2010 was about 7.7%.
X
D. Based on the absolute maximum, the average
mortgage rate was highest between 2006 and 2007.
E. An appropriate domain for this function is 0≤t≤10
Answer: The correct interpretations about the graph of r(t) are B, D, and E.
Interpretation B is correct because the graph shows that the average mortgage rate fell to a relative minimum between 2002 and 2003.
Interpretation D is correct because the graph shows that the average mortgage rate was highest between 2006 and 2007, based on the absolute maximum.
Interpretation E is correct because an appropriate domain for this function would be 0≤t≤10, as t represents time and the graph shows data for the period between 2002 and 2010.
Interpretation A is not correct because the graph does not show that the average mortgage rate increased continuously between 2003 and 2005.
Interpretation C is not correct because the y-intercept does not represent the average mortgage rate in 2010. The y-intercept represents the value of the function when t = 0, which does not correspond to any time in the given data.
Step-by-step explanation:
Iliana rotated trapezoid WXYZ 180° about the origin.
What is the correct set of image points for trapezoid WX'Y'Z'?
The correct set of image points for trapezoid WX'Y'Z' is the image points are W'(4,-2), X'(3, -4), Y'(1, -4), Z'(0, -2).
What is trapezoid?A trapezoid is a quadrilateral in American and Canadian English that has at least one set of parallel sides. A trapezium is the term used in British and other varieties of English. In Euclidean geometry, a trapezoid is invariably a convex quadrilateral. The parallel sides are referred to as the trapezoid's bases.The bases of a trapezoid (the top and bottom) are parallel to one another. A trapezoid's opposite sides are equal in length (isosceles). Angles close together add up to 180° Both bases and the median run parallel.A parallelogram has two pairs of parallel sides, whereas a trapezoid has one pair of parallel sides. A parallelogram is a trapezoid, therefore.Given data :
From the given figure, it is clear that the vertices of the trapezoid are W(-4,2), X(-3,4), Y(-1,4), Z(0,2).
If a figure is rotated 180 degrees about the origin, then
( x, y ) → ( -x, -y )
Using this rule, we get
W (-4, 2 ) → W' ( 4, -2 )
X ( -3, 4 ) → X' ( 3, -4 )
Y ( -1, 1 ) → Y' ( 1, -4 )
Z ( 0,2 ) → Z' ( 0, -2 )
Therefore, the image points are W'(4,-2), X'(3, -4), Y'(1, -4), Z'(0, -2).
Learn more about trapezoid refer to :
https://brainly.com/question/26487711
#SPJ1
⭐️GIVING BRAINLIEST⭐️
((PLEASE HELP OR I WILL FAIL))
Determine the family net income, gross income, or amount paid in taxes for the following situations.
The Milano family's gross income for the year is $108,600. If their net income is $92,310 for the year, what
percent does the family pay in taxes and deductions annually?
find the volume of the cylinder. use 3.14 for π. 5ft 10ft (10 is the radius) PLS HELP :(
Answer:
157[tex]ft^{3}[/tex]
Step-by-step explanation:
Volume = the area of the base times the height.
Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
a = [tex]\pi[/tex][tex](5^{2})[/tex] I am going to use 3.14 for [tex]\pi[/tex]
a = 3.14(25)
a = 15.7
Volume = 15.7 x 10 = 157
Answer:
785 ft२
Step-by-step explanation:
volume =3.13*5२*10
=3.14*25*10
=785 ft२
Find the measure of ∠ 1
The measure of ∠ 1 is 68.7°
What is linear pair angles?Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.
Given is a figure of angles showing the pair of linear angles.
Therefore, by the definition of linear pair angles,
∠ 1 + 111.3° = 180°
∠ 1 = 180° - 111.3°
∠ 1 = 68.7°
Hence, the measure of ∠ 1 is 68.7°
For more references on pair of linear angles, click;
https://brainly.com/question/17525542
#SPJ1
Manicure sets at nails by Nina are marked up 47% from the cost of $8.36. What does a manicure set cost in Nina’s store?
Answer:
The cost of a manicure set in Nina's store is $12.30.
Step-by-step explanation:
To find the cost of the manicure set in Nina's store, you can use the following formula:
Selling price = Cost + Cost * Markup percentage
Substituting the given values into this formula, you get:
Selling price = $8.36 + $8.36 * 47%
To find the value of the markup percentage, you can convert 47% to a decimal by dividing it by 100: 47/100 = 0.47
Then you can use this value in the formula to find the selling price:
Selling price = $8.36 + $8.36 * 0.47
Based on the family the graph below belongs to, which equation could represent the graph?
Answer:
fruit loops
Step-by-step explanation:
because i said FRUIT LOOPSSSSSSSSS
For problems 1–4, solve the given system of equations using either substitution or elimination.
Answer:
1. -3, -2
2. 2, -7
3. 1, 2.5
4. infinitely many solutions
Answer:
1. (-3,-2)
2. (1, -7)
3. (1, 2.5)
4. No solution
Step-by-step explanation:
Number 1: Substitution
Plug y in to substitute and get
2x + (2x + 4) = -8
4x + 4 = -8
4x = -12
x = -3
Then plug into the y equation
y = 2(-3) + 4
y = -6 + 4
y = -2
(-3, -2)
Number 2: Elimination
Begin eliminating by crossing out same values
40x + 12y = -44
-2y = 14
Solve for y
-2y = 14
y = -7
Solve for x
40x + 12(-7) = -44
40x - 84 = -44
40x = 40
x = 1
(1, -7)
Number 3: Elimination
Add the two and get:
-3x + 2y = 2
6y = 15
Solve for y:
6y = 15
y = 5/2
Solve for x:
3x + 4(5/2) = 13
3x + 10 = 13
3x = 3
x = 1
(1, 2.5)
Number 4: Substitution
Solving for y to begin with:
4x - y = -3
-y = -3 - 4x
y = 3 + 4x
Then solve for y in the second system
-8x + 2y = 6
2y = 6 + 8x
y = 3 + 4x
Set equal to each other
3 + 4x = 4 + 4x
3 = 4
No solution
A certain disease has an incidence rate of 0.2%. If the false negative rate is 4% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease.
you draw three marbles without replacement from a bag containing two brown marbles and three yellow marbles. how many possible outcomes are there?
Answer:
3 possibilities
Step-by-step explanation:
possibilities
2 brown 1 yellow
1 brown 2 yellow
3 yellow
A combination is denoted by 'C'. The number of ways of selecting 3 marbles out of this bag is 10.
What is the combination?The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
[tex]^nC_r = \dfrac{n!}{(n-r)!r!}\[/tex]
where,
n is the number of choices available,
r is the choices to be made.
Given the bag contains 2 brown marbles and three yellow marbles, therefore, the number of ways of selecting 3 marbles are,
Number of marbles = ⁵C₃ = 10
Hence, the number of ways of selecting 3 marbles out of this bag is 10.
Learn more about Combination:
https://brainly.com/question/11732255
#SPJ2
15 POINTS PLEASE HELP
dont troll though please! I'm stuck on this question for my homework
Answer:
screenshot plz
Step-by-step explanation:
Anthony's brother was 0.45
meters tall last year. He grew
another 0.5 meters this past
year. How tall is he now?
Answer:
0.95meters
Step-by-step explanation:
last year her was 0.45m tall
this past year he is 0.5m
Total = 0.45 + 0.5 = 0.95
Answer: 0.95
Step-by-step explanation: add 0.45+0.5=0.95
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
53 centimeters
Step-by-step explanation:
Answer: 53 centimeters
solve 15 3/4 ÷ 2 5/8 × 5 5/6 ÷ 8 2/5
Answer:
4 1/6
Step-by-step explanation:
15 3/4 ÷ 2 5/8 × 5 5/6 ÷ 8 2/5
assuming this order of operations:
(15 3/4 ÷ 2 5/8) × (5 5/6 ÷ 8 2/5)
63/4 x 8/21 = 505/84 = 6
35/6 x 5/42 = 175/252
6 x 175/252 = 1050/252 = 4 42/252 = 4 1/6
Is the set of rational expressions closed under subtraction? Explain
P(x) /q(x) - r(x)/s(x) =
The set of rational expressions are closed under subtraction because the subtraction will result to a rational expression
What is a rational expression?The ratio of two polynomials is a rational expression.
A rational expression can be expressed in the form p/q, where p and q are polynomials,
Closure property of rational expression
According to the closure property, a - b is also a rational number for any pair of two rational numbers, a and b. The outcome is a rational number. Therefore, under subtraction, the rational numbers are closed.
In the polynomial subtraction
= P(x) /q(x) - r(x)/s(x)
= (P(x) * s(x) - r(x) * q(x)) / (q(x) * r(x))) also a rational number
Learn more about closure property of rational numbers at:
https://brainly.com/question/9353272
#SPJ1
Find the distance between the points.
(-6,5),(-6,-3.5)
The distance is
Answer:
8.5
Step-by-step explanation:
there's a rule to get the distance between 2 points
√((1st x- 2nd x)²+(1st y- 2nd y)²)
√((-6-(-6))²+(5-(-3.5))²)
=√((-6+6))²+(5+3.5))²)
you can just type that on your calculator and you'll get the result
√((-6+6))²+(5+3.5))²)
=√((5+3.5))²)
= √((8.5))²)
the root goes away with the power (exponent)
so it equals 8.5
jose runs 6 miles in 55 minutes. at the same rate, how many miles would he run in 44 minutes
Answer:
4.8 miles
Step-by-step explanation:
have a good day!
Answer:
4.8 Miles
Step-by-step explanation:
Kemi is used division to write a fraction equivalent to 30/100. She tried to divide the numerator and denominator by 3. She got stuck what advice would u give her?
Answer: She can multiply the numerator and the denominator by the same number. For example, 30/100 × 2/2
So what you're doing multiplying the numerator & the denominator each by 2. 30 ×2 = 60 and 100 x 2 = 200, ending up with 60/200.
when reduced it would simplify back to 30/100.
You can do the same for each similar. Problem asking for an equivalent. Just multiply both the numerator and denominatorby the same number.
Step-by-step explanation:
Multiply me by 4. Then subtract 29 and you get 23. What is my number?
Answer:
13 is your number
Step-by-step explanation:
23 = -29 x 4x
add 29 to both sides
52 = 4x
divide both sides by 4
13 = x
Answer:
13
Step-by-step explanation:
13 x 4 = 52 - 29 = 23
18. The temperature was
40° at noon. At midnight the
temperature was -10°.
Which integer describes the
change in temperature?
Answer:
Step-by-step explanation: Find the number between 40 and -10.
start at 40 and end at -10.
-40=0
0-10=-10
the tempature changed by 50 degrees.
The number of students who enroll in a psychology course is a Poisson random variable with mean 105. The professor in charge of the course has decided that if the number enrolling is 119 or more, the course will be taught in two sections, whereas if fewer than 119 students enroll, the students will be all taught together in a single section. What is the probability that the professor will have to teach two sections?
Answer:
The answer is "0.096".
Step-by-step explanation:
In this question, the X is a number of the students who enroll in a psycholog y course, follows a Poisson distribution with mean [tex]= \lambda= 105[/tex]
[tex]\therefore P(X=x)=\frac{e^{-105} 105^{x}}{x!},(x=0,1,2,3.....)\\\\\to p(teach\ two \ sections) = P(X \geq 119)\\\\=1-P(X<119)\\\\=1-\sum_{x=0}^{118}P(X=x)\\\\=1-\sum_{x=0}^{118}\frac{e^{-105} 105^{x}}{x!}\\\\=0.0956747863537\\\\=0.096\\[/tex]
help me plz god bless
The fourth term of an arithmetic sequence is 20. The common difference is -1/5 times the first term. What is the first term? Graph the sequence.
As a result, the first term of the answer to the given arithmetic mean problem is 14.
What does arithmetic mean?The Arithmetic Mean or Average of the Group is the product of the sum of all the numbers in a group and the amount of items in that list, divided by both. The Geometric progression is also same as this .This average of the numbers 5, 7, and 9 is, for instance, 4, as 5 + 7 + 9 is 21, and 21 split by 3 [there really are three numbers] equals 7.
Here,
In this case, t(n) = (a + ((n — 1) * d)),
The value of the nth term is t(n),
The first term of the AS is a.
The position of a value in the A.S. is represented by the positive whole integer n, and
The constant common difference among A.S. words is d.
In light of the question, we can say:
11 = (5 + ((4 — 1) * d)),
Take 5 away from both sides.
11 — 5 = (5 + ((4 — 1) * d)) — 5,
On the RHS, the fives cancel one another out.
6 = 3d,
d = 2.
In summary, the common distinction is: 2.
=> 20 = a + 3d
=> 20 - 6
=> a =14
As a result, the first term of the answer to the given arithmetic mean problem is 14.
To know more about arithmetic mean , visit
https://brainly.com/question/13000783
#SPJ1
what is 3 1/3 minus -1
Answer:
2 1/3
Step-by-step explanation:
Seperate equation
(3 1/2) - 1
( 3 - 1 ) + 1/2
2 and 1/3
5x -2y = 1, ax -6y = b
whet are the values of a and b such that the equations have no solutions?
The system of equations will have no solutions if the two lines are parallel, then one example can be:
5x - 2y = 1
15x - 6y = 0
For which values of a and b the system has no solutions?Here we have the following system of equations:
5x - 2y = 1
a*x - 6y = b
The system will have no solutions only if the two equations are parallel. You can see that the coefficient of y on the second equation is 3 times the coefficient on the first equation.
Then a should also be 3 times the coefficient of x on the first equation:
a = 3*5
a = 15
And b should be any number but 3 times the constant on the other equation:
b ≠ 3*1
So we can take b = 0, for example.
So the system with no solutions will be:
5x - 2y = 1
15x - 6y = 0
Learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
What is the equation in slope-intercept form of the line that includes the point (36,0) and has a slope of 9/4?
Edit: I figured it out but you can have the points anyway lol
Answer:
y = 9/4x - 81
Step-by-step explanation:
Given the slope = 9/4
The point (36, 0) ; x1 = 36 ; y1 = 0
Slope intercept relation :
y = mx + c ; c = intercept, m = slope
Using the relation :
y - y1 = m(x - x1)
y - 0 = 9/4(x - 36)
y - 0 = 9/4x - 81
y = 9/4x - 81
Hence, the required equation is : y = 9/4x - 81
9/4 = slope ; - 81 = intercept
Find the value of X. Round your answer to the nearest tenth... I just need the answer nothing more thx
Answer:
42.3°
Step-by-step explanation:
Use SOH-CAH-TOA (O=opposite, A=adjacent, H=hypotenuse) we see that they give us the angle missing, x, but we first need to identify what method to use. They give us the opposite side from the angle, and they also give us the adjacent side from the angle, so TOA=tan.
now plug it in, since there is no angle then we plug it in as [tex]tan^{-1}=\frac{10}{11}[/tex]
in the calculator, (be sure to be in degree mode)
x= 42.3°
(does that make sense)
Please help will give brainliest
Worth 13 points
The data shows the mini-golf course for nine people. 22, 35, 13, 15, 20, 12, 15, 18, 30 what is the IQR for the data?
A. 8
B. 12
C. 13
D. 15
Answer:
The answer is 12 (B)
I hope this helped!!!
Step-by-step explanation:
First Quartile Q1 = 14
Second Quartile Q2 = 18
Third Quartile Q3 = 26
Interquartile Range IQR = 12
Median = Q2 x˜ = 18
Minimum Min = 12
Maximum Max = 35
Range R = 23
You can use a calculator for this, just search it up! I can't include the link because then my answer would be reported, but just search up IQR calculator.
Claudia is building a fence around her above ground pool. If the diameter of the pool is 14 feet. How long will the fence around the pool be?
Answer:
10 Inches
Step-by-step explanation:
All you gotta do is add the side you are given then subtract (I believe)
Evan wants to add a flower box at the edge of the garden.
The box is 16 inches long, 6 inches wide, and 8 inches
high.
He decides to paint the box. The flower box is open on the top and does not need to be painted. What is the minimum amount of paint he will need? Evan will need enough paint to cover ___in2 What is the maximum amount of soil he will need to fill the box? The maximum amount of soil is __in.3.
Answer:
Evan will need enough paint to cover
✔ 448 in.2.
What is the maximum amount of soil he will need to fill the box?
The maximum amount of soil is
✔ 768 in.3.
Step-by-step explanation:
I got it right on assignment, sorry for late answer
Evan will need enough paint to cover 448 in². The maximum amount of soil is 768 in³
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The box is open at the top, hence:
Minimum amount of paint = surface area of box = (16 * 6) + 2(8 * 6) + 2(16 * 8) = 448 in²
Maximum amount of soil = 16 in * 6 in * 8 in = 768 in³
Evan will need enough paint to cover 448 in². The maximum amount of soil is 768 in³
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2