Let f(x)=x^2+6x−16.
Enter the x-intercepts of the quadratic function in the boxes.
Answers
[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf f(x)= x^2+6x−16 [/tex]
[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]
[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ x-intercepts of the quadratic function } [/tex][tex]\sf [/tex]
[tex]\\[/tex]
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\longrightarrow[/tex]x- intercept is the point where graph of given function touches the x-axis,f(x) becomes 0 at the point where graph of given function touches the x-axis. Therefore, we would to solve x^2+6x−16=0 and find its root.
[tex]\begin{gathered}\\\implies\quad \sf x^2+6x−16=0 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf x^2+8x-2x −16=0 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf x(x+8)-2(x+8)=0 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf (x-2)(x+8)=0\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf x=2\quad or \quad x=-8 \\\end{gathered} [/tex]
[tex]\leadsto[/tex]x-intercepts of the given quadratic function are 2 and -8 .
Related Questions
find the missing side length
Answers
Answer: 5
Step-by-step explanation:
What is the prime factorization of 20 in exponential form?
Answers
Answer:
•The prime factorization of 20 using exponents is 22*5 2 2 ∗ 5 .
Explanation:#Let's Study
#I Hope It's Help
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The equation, 3x2 6x 3y2 7y 4 = 0, represents a conic. The conic represented by the equation is a/an because.
Answers
The given equation is an equation of a circle because it looks similar to the general equation of a circle.
What is the general equation of a circle?The general equation of a circle is:
x² + y² +2gx + 2fy + c = 0...........eq1
Where (-g, -f) is the center of the circle.
c is a constant
Given equation is
3x² +6x + 3y²+7y+4 = 0
Let us take 3 as common
x² + 2x+y²+7/3y + 4/3 = 0
Let us rearrange the equation
x² + y²+2x +7/3y + 4/3 = 0...........eq2
Now look at eq1 and eq2
We got that eq2 is having a similar pattern as eq1.
Therefore, The given equation is an equation of a circle.
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Answer:
circle A = C
Step-by-step explanation:
HELP I DONT KNOW HOW TO DO THIS
Answers
Answer:
5 units
Step-by-step explanation:
The base of a triangular prism is the area of the triangle, i.e. the area of the cross-section.
The "height" of this triangular prism is the depth of the shape (the wording of the question is confusing!).
Volume of the prism = area of cross-section × height
= area of triangle × depth of shape
If the volume of the prism is 130 units³ and the area of the base is 26 units², substitute these values into the above formula to find the height:
⇒ 130 = 26 × height
⇒ height = 130 ÷ 26
⇒ height = 5 units
Answer: 10
Step-by-step explanation:
This problem depends on how you view "volume." In this case, I would view the volume as taking the surface area of the triangle, and then multiplying it by the small width it has. This will take the area and scale it across the entire volume. So, taking the area of a triangle and multiplying it by the width, you get:
[tex]Volume=Area*Width[/tex]
[tex]Volume=(\frac{1}{2} bh)*w[/tex]
We weren't given the actual base, but instead given the base area. That's easily undoable since the area of a rectangle is easy. Its simply, length times width.
[tex]Area=l*w[/tex]
We want the length here. The length of the rectangle is equivalent to the base of the triangle. Solve for the length of the rectangle to get:
[tex]Length=Base=Area/Width[/tex]
Lets plug in this "base" value into the formula for the volume of the figure:
[tex]Volume=(\frac{1}{2} (A/w)h)*w[/tex]
Plug in the given values. First though, you'll notice the width cancels giving:
[tex]Volume=(\frac{1}{2} Ah)[/tex]
[tex]130=(\frac{1}{2} 26*h)[/tex]
[tex]130=13h[/tex]
[tex]h=10[/tex]
hi can someone help me please
Answers
Answer:
56
Step-by-step explanation:
The total of a triangle 180 so you just need to take 124 away from 180 and you get 56 the reason you do this is because we added 90 and 34 making 124 for to find the missing angle you just subtract the total from the given angles
Please help, I’ll mark your answer as brainliest.
Answers
Answer:
Step-by-step explanation:
What is the area of an isosceles right triangle that has one leg that measures 6 cm?
A 18 cm
B 36 cm
C 6√2 cm
D 72 cm
Answers
Answer:
Correct option is A)
Explanation:
Let height of triangle = h
As the triangle is isosceles,
Let base = height =h
According to the question, Area of triangle = 8cm
2
⟹
2
1
×Base×Height=8
⟹
2
1
×h×h=8
⟹h
2
=16
⟹h=4cm
Base = Height = 4cm
Since the triangle is right angled,
Hypotenuse
2
=Base
2
+Height
2
⟹Hypotenuse
2
=4
2
+4
2
⟹Hypotenuse
2
=32
⟹Hypotenuse=
32
Hence, Options A is the correct answer.
Step-by-step explanation:
Help
Start by writing an equation that represents this hanger diagram.
Answers
If the length of the things doesn’t matter then I’d leave it as
5a + 4 = 3a + 10
Hope this helps :)
Anytown households that earn more than $75,000 tend to buy sports equipment, while households that earn less than $75,000 tend to buy TVs. Which new business would be most likely to succeed? a car dealership an electronics store an office supply store a sporting goods store.
Answers
Answer: An Electric Store
Step-by-step explanation: Hoped This Helped! Thx For The Points!
Answer:
B
Step-by-step explanation:
an electronics store
What is the exact value of sin
(7pie/12)
Answers
Answer:
[tex]\displaystyle \frac{\sqrt{2} + \sqrt{6}}{4}[/tex]
Explanation:
If you recall the unit circle [from the polar graph], you would have no trouble at all figuring this out, but sinse you have trouble, do not worry about it. So, here is what you should have realised:
[tex]\displaystyle \boxed{\frac{\pi}{2}} = \frac{6}{12}\pi[/tex]
If you did not notise, [tex]\displaystyle \frac{7}{12}\pi[/tex]is just [tex]\displaystyle \frac{\pi}{12}[/tex]more than [tex]\displaystyle \frac{\pi}{2},[/tex]which means the exact value could possibly have a 4 in its denominatour [which obviously also has a desimal value] or could be irrational [values that cannot be written as fractions]. In this case, according to the unit circle, you will have a fraction, and that will be this:
[tex]\displaystyle \frac{\sqrt{2} + \sqrt{6}}{4}[/tex]
It is all about memorisation of the unit circle, which I know is difficult, but you will get used to it soon.
*Now, if you had to find [tex]\displaystyle cos\:\frac{7}{12}\pi,[/tex]then the exact value would be the OPPOCITE of the exact value of [tex]\displaystyle sin\:\frac{7}{12}\pi,[/tex]which is [tex]\displaystyle -\frac{\sqrt{2} + \sqrt{6}}{4},[/tex]because you would be crossing into the second quadrant where the x-coordinates are negative, accourding to both the cartesian and polar graphs.
I am joyous to assist you at any time.
A circular piece of glass has a radius of 0. 8 meters. The glass sells for $4. 60 per m². What is the total cost of the circular piece of glass? Use 3. 14 for pi. $2. 01 $9. 24 $23. 11 $36. 98.
Answers
The cost of the circular glass piece will be equal to $9. 24
What will be the cost of the circular glass piece?
It is given that
The radius of the circular glass piece [tex]r= 0.8 meters[/tex]
The selling price of glass per square meter = $4. 60
Now find the area of the circular glass piece
[tex]A= \pi r^{2}[/tex]
[tex]A=\pi \times (0.8)^{2}[/tex]
[tex]A=2.01 m^{2}[/tex]
Now cost of the glass piece =
[tex]=Area \times selling price of glass pieces per square meter area[/tex]
[tex]= 2.01\times4.0=9.24[/tex]
Thus the cost of the circular glass piece will be equal to $9. 24
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Matthew beem HAD $678,686 IN HIS BANK ACCOUNT and spent $137,000 how much does he have in his bank account
Answers
Answer:
541686
Step-by-step explanation:
678,686-137,000=541686
2y=4x−2 simplify the equation
Answers
Answer:
y=2x-1
Step-by-step explanation:
2y=4x-2
y=4/2x-2/2
y=2x-1
Answer:
y=2x-1
Step-by-step explanation:
divide everything by 2
[tex] \frac{2y}{2} = \frac{4x}{2} - \frac{2}{2} \\ y = 2x - 1[/tex]
Which is equivalent to 216 1/3?
3
6
36
72
Answers
Answer:
6
Step-by-step explanation:
Pls, choose me as brainliest!
10. What is the value of x in the figure shown? (2x + 6)° 80 °
Answers
Answer:
Step-by-step explanation:
The opposite angles formed by two intersecting straight lines are equal:
(2x+6) = 80°
2x = 74°
x = 37°
Answer:
X = 37
Step-by-step explanation:
These are vertically opposite angles and thus equal.
Therefore,
[tex]2x + 6 = 80[/tex]
[tex]2x = 74[/tex]
[tex]x = 37[/tex]
HELP
Select all the expressions that are equal to 5/9×8
9 divided by 5 x 8
8/9 x 5
5 divided by 8 x 9
5 x 1/9 x 8
5 x 8 divided by 9
Part B
evaluate the expression in part a enter your answer in the boxes
Answers
Answer:
8/9 x 5
5 x 1/9 x 8
5 x 8 divided by 9
Step-by-step explanation:
5/9 = 0.5555*8 =4.444
8/9 = 0.8888*5 =4.444
5*1/9 = 0.5555*8 =4.444
5*8 = 40/9 =4.444
Necesito ayuda con esta tarea, son problemasTengo que acomodar, Resolver y ver si es proporcionalidad DIRECTA o INVERSAa) Un chef se tarda 7 horas en hacer un pastel si le pide ayuda a dos chefs mas cuanto tiempo tardaran en hacer el pastel. B) Un niño ahorra $200 pesos a la semana, ¿cuanto dinero ahorrara en un mes?c) Una actualización de un video juego tarda 6 horas si contrato el doble de velocidad de la que tengo actualmente, ¿cuanto tardara la actualización?d) En una escuela hay un total de 900 alumnos si en una excursión se fueron 700 alumnos ¿que porcentaje de la escuela se fue de excursión?AYUDAAAA en serio me urgesi no sabes no respondas por favor
Answers
A: no se
B: 200 pesos x 4 semanas = 800
C: jose por que eso significa no se :(
D: Por que son 900 alumnos y se va 700 de excurcion eston se va el 70% de excurcion
Use the equation v = StartFraction 10 Over p EndFraction to determine the pressure when the volume is 10 liters. A. 10 c. 100 b. 0. 1 d. 1.
Answers
The value of the pressure is 1 when the value of volume is 10 liters, the correct option is D.
What is the pressure?Pressure is defined as the physical force exerted on an object.
The force applied is perpendicular to the surface of objects per unit area.
Given
The equation is
[tex]\rm V=\dfrac{10}{p}[/tex]
Where the v is the volume and p is the pressure.
The value of p when the value of volume v is 10 liters is;
[tex]\rm V=\dfrac{10}{p}\\\\\rm 10=\dfrac{10}{p}\\\\P = \dfrac{10}{10}\\\\P=1[/tex]
Hence, the value of the pressure is 1.
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Which of the following relations is a function?
A.
(8, 1), (-1, 4), (1, 1), (8, 2)
B.
(1, 4), (-1, 2), (8, 1), (-6, 2)
C.
(1, 0), (-1, 3), (8, 1), (-1, 5)
D.
(1, 4), (-1, 6), (1, 3), (-6, 2)
Answers
Answer:
B
Step-by-step explanation:
The first components should not be duplicates, otherwise the second components should be the same. Therefore, the second option is correct.
The polynomial function f(x) is a fourth degree polynomial. which of the following could be the complete list of the roots of f(x)? 3, 4, 5, 6 3, 4, 5, 6i 3, 4, 4 i startroot 6 endroot, 5 startroot 6 endroot 3, 4, 5 i, –5 i
Answers
Polynomial is an expression consisting of indeterminates and coefficients, also mathematical operations. option 1 is a complete list of the roots of the polynomial function.
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
As it is given that a polynomial function f(x) is a fourth-degree polynomial. Therefore, it must have 4 roots. Now if we check all the options for the possible list of roots of f(x).
Looking at the options,
Option 1. 3,4,5,6 can be the complete list for polynomial function f(x).
Now, Option 2 and option 3 cannot be the complete list of the roots for f(x) as it has one complex root and complex roots always occur in pairs.
Further, Option 4 cannot be the complete list for f(x) as complex roots occur in pairs and they conjugates but conjugate of 5+i is 5-i(which is not given), not -5+i.
Hence, option 1 is a complete list of the roots of the polynomial function.
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Answer: A, or 3, 4, 5, 6. :)
who will give rhe answer I'll mark them as brainlist
Answers
Answer:
7+8+6+5+4 = 30
30+1=31
31/2 = 15.5
Answer = 60-70
Step-by-step explanation:
Put the results in numerical order (in a frequency table this will already be done)
Count the total amount of results and add one
Divide this by 2 to find the position of the middle result
Find the middle result in the numerically ordered list or frequency table
You will then have the median of the set of results
Question: Antonio is working with a new geometric series generated by the equation A(n)=20(1.1)^n-1.His sister challenged him to find the sum of the first 22 terms
Answers
Answer:
sum of 22nd = 1,428.05
sum of 23 to 40 is 932.53
Step-by-step explanation:
A(n)=20(1.1)^n-1
20 is the first term or a1
1.1 is the common ratio or r
A(22) = 20(1.1)^22-1
22nd term = 20(1.1)^21
22nd term = 148.00
sum of geometric sequence
formula
Sn = a1(1-r^n)/1-r
Sn = sum
a1 = first term
n = number of term
r = constant ratio
sum of 22nd = 1,428.05.
23 to 40 is 17 terms
Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...
The 17th term: 105.684378686
Sum of the first 17 terms: 932.528165548
socratic
miniwebtoolcomgeometricsequencecalculator
His sister challenged him to find the sum of the first 22 terms of geometric series is 1428.05.
What is a series?A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
Antonio is working with a new geometric series generated by the equation that is
[tex]A_{n}=20(1.1)^n-1.[/tex]
His sister challenged him to find the sum of the first 22 terms will be given as
[tex]Sn = \dfrac{a(r^n - 1) }{ (r - 1)}[/tex]
We have
a = 20
r = 1.1
n = 22
Then
[tex]\rm S_n = \dfrac{20(1.1^{22} - 1) }{ (1.1 - 1)}\\\\\\S_n = \dfrac{20(8.14 - 1) }{ 0.1}\\\\\\S_n = \dfrac{20*7.14 }{0.1}\\\\\\S_n = 1428.05[/tex]
His sister challenged him to find the sum of the first 22 terms of geometric series is 1428.05.
More about the series link is given below.
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What is the area of this parrelogram
Answers
Answer:
no parallelogram, mr clean thus cannot answer.
A total of 435 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answers
Answer:
370 adult tickets... 435-65=370
Write the equation of the line that passes through the point (-4, -2) and is parallel to the line
Answers
Answer:
THIRD OPTION
Step-by-step explanation:
The line admits a slope equal to the line
so, slope=1/4
It passes through (-4,-2), so the coordinates satisfy the equation
-2=-4/4+b
-2=-1+b
b=-2+1=-1
y=1/4x-1
the quotient of 12 divided by y increased by 7
Answers
Answer:
5+z7=12
Step-by-step explanation:
I think this is the answer idek if its an option but I hope u get it right:) Hope this helped
The quotient of 12 divided by y increased by 7 is equals to [tex]\frac{12}{y} +7[/tex].
What is division?" Division is defined as the distribution of a number into equal parts as per the given condition."
According to the question,
Given number = 12
Divisor = y
Condition given = quotient of 12 divided by y increased by 7
As per the given condition the required quotient of given division ,
[tex]\frac{12}{y} +7[/tex]
Hence, the quotient of 12 divided by y increased by 7 is equals to [tex]\frac{12}{y} +7[/tex].
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Which equation can be used to find the product 640x7?
A.
B.
C.
D.
Answers
Answer:
A.=880
B.=4240
C.=700
D.=4480 which is the sum of 640*7
Step-by-step explanation:
mr cleann account go rip
Answer:
D. (600 × 7) + (40 × 7) = 4200 +280
Step-by-step explanation:
It might helps you
5x-2y=x+14 prove y=2x-7
Answers
use substitution to get this^
5x-4x+14=x+14
distributive property^
x+14=x+14
combine like terms and get answer^
What is the approximate length of the radius, r? Use 3. 14 for. Round to the nearest inch. 12 inches 24 inches 38 inches 46 inches.
Answers
Answer:
협의회는 지난 해 올해
Step-by-step explanation:
업 하고 있는 것 같은 기분 좋은 시간 보내고 왔습니다 그리고 저는 이렇게 잘 지내고 있습니다 저는 너무 힘들고 또 제 자신이 정말 많은 것 같아요
HELPPPP!!! I NEED SOME HELP PLSS
Answers
Answer:
v/lw=h
Step-by-step explanation:
I hope this helps and have a good day