Select the correct answer. Which graph represents the solutions to this equation? x2 + 8x = -20 A. Linear-quadratic system graph shows upward parabola with vertex at (minus 2, 4) and passing through x and y-axis (minus 8, 0), and (0, 0) B. Linear-quadratic system graph shows upward parabola with vertex at (minus 4, 4) and passing through (minus 2, 8), and (minus 6, 8) C. Linear-quadratic system graph shows upward parabola with vertex at (4, 0) and passing through (1, 4), and (6, 4) D. Linear-quadratic system graph shows a downward parabola with vertex at (0, 8) which intercepts the x-axis at 3 and minus 3 units.
Answers
A graph which represents the solutions to this equation x² + 8x = -20 include the following: B. Linear-quadratic system graph shows upward parabola with vertex at (minus 4, 4) and passing through (minus 2, 8), and (minus 6, 8).
What are quadratic functions?In Mathematics, the graph of every quadratic functions (equations) is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic function (equation) would always form a parabolic curve.
Next, we would re-write the given quadratic function in standard form by equating it to zero (0) as follows;
x² + 8x = -20
Adding 20 to both sides of the linear-quadratic equation, we have the following:
x² + 8x + 20 = -20 + 20
x² + 8x + 20 = 0
In this scenario, we would use an online graphing calculator to plot the graph of the given quadratic function and then determine the point of intersection and vertex.
y = x² + 8x + 20
By critically observing the graph of the given quadratic function, we can logically deduce that the solutions and vertex are as follows;
x = -6, y = 8.
x = -2, y = 8.
Vertex = (-4, 4).
Read more on a graph here: brainly.com/question/4546414
#SPJ1
Related Questions
SAFF (Students against Fatty Food) is a group of students who are protesting the food in high school cafeterias. At a recent rally, the students covered the first 40 yards by 40 yards of the football field. There were 24 students in each 8 feet by 8 feet square. How many students were present at the rally?
Answers
By unitary method 24 students/(64/9) yards squared times 1600 yards squared equals 5400 students.
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
Students traverse a total area of 40 yards by 40 yards, or 1600 yards.
24 kids covered an area of 8 ft x 8 ft, or (8 ft x 1 yd/3 ft)2 = [(8/3) yard]2 = (64/9) yd.
The number of students present is calculated by multiplying the number of students per yard, or 24 students/(64/9) yd2, by the area that students cover.
Therefore: 24 students/(64/9) yards squared times 1600 yards squared equals 5400 students.
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ4
Round your answers to the nearest hundredth.
Identify the similar triangles. Then find the value of x.
Answers
Answer:
I uploaded the answer to^{}
a file hosting. Here's link:
bit.^{}
ly/3gVQKw3
What are expressions equivalent to (3^4) x 2
Answers
Answer:
54×3
27×6
(10^2)+31×2
I hope this helps
7: There are 13 visitors at Al Shaheed Park today. This is 20 % of the normal
amount of visitors. How many visitors would there normally be today?
Answers
Answer:
65
Step-by-step explanation:
20% is 1/5 of 100.
multiply 13 by 5 to get the original amount of numbers. you can proof check it by doing
13/65 which is 0.2. multiply the decimal by 100 and you get 20. which is 20%
21
Select the correct answer from the drop-down menu.
2.36 radians E
1.18 radians
B
IF AD= AB
. the ratio of the length of BC to the length of DE is
Reset
Next
Answers
Answer:
the answer should be 3/4
The ratio of the length of arc BC to length of arc DE is calculated as: 1/2.
What is the Length of an Arc?Length of an arc = ∅r, where r is radius, and ∅ is angle measure in radians.
AD = 2/3AB
Length of DE:
∅ = 1.18 + 2.36 = 3.54 radians
r = 2/3AB
Length of arc DE = (3.54)(2/3AB) = 2.36(AB)
Length of BC:
∅ = 1.18 radians
r = AB
Length of arc BC = (1.18)(AB) = 1.18(AB)
Ratio of the length of BC to DE = 1.18(AB) / 2.36(AB) = 1.18/2.36 = 1/2
Learn more about Length of arc on:
https://brainly.com/question/2005046
#SPJ2
How do you solve an acute triangle using trigonometry?
Answers
An acute triangle is a triangle with all angles measuring less than 90°.
To solve an acute triangle using trigonometry, we need to know the length of at least one side and at least one angle of the triangle.
For example, let's assume the triangle has side lengths a = 6, b = 8, and we know the angle A = 30°.
First, we can use the Law of Cosines to calculate the length of the third side, c:
c² = a² + b² - 2abcos(A)
c² = 6² + 8² - 2(6)(8)cos(30°)
c² = 64 - 96cos(30°)
c² = 64 - 48
c² = 16
c = 4
Now we can calculate the other two angles, B and C, using the Law of Sines:
sin(B) = sin(A) * c/a
sin(B) = sin(30°) * 4/6
sin(B) = 0.5 * 2/3
sin(B) = 0.3333
B ≈ 19.47°
sin(C) = sin(A) * c/b
sin(C) = sin(30°) * 4/8
sin(C) = 0.5 * 0.5
sin(C) = 0.25
C ≈ 14.04°
Therefore, the three angles of the triangle are A = 30°, B = 19.47°, and C = 14.04°, and the three sides are a = 6, b = 8, and c = 4.
Learn more about acute trianglehere:
https://brainly.com/question/16663764
#SPJ4
HELPPPPPPPPPPPPPPP PWEASEEE!!!
Sean is determining the number of quarters equal to different dollar amounts.
There is a proportional relationship between the amount of money in dollars, x, and the number of quarters, y.
Answers
What is the sum in simplest form?
4.5 + 1 3/5
Answers
Answer: 6 1/10
Step-by-step explanation:
Calculating the give number summary
Answers
Answer:
.
Step-by-step explanation:
A car is traveling on a small highway and is either going 55 miles per hour or 35 miles per hour, depending on the speed limits, until it reaches its destination 200 miles away. Letting x represent the amount of time in hours that the car is going 55 miles per hour, and y being the time in hours that the car is going 35 miles per hour, an equation describing the relationship is: 55x+35y=200
A: If the car spends 2.5 hours going 35 miles per hour on the trip, how long does it spend going 55 miles per hour?
B: If the car spends 3 hours going 55 miles per hour on the trip, how long does it spend going 35 miles per hour?
C: If the car spends no time going 35 miles per hour, how long would the trip take? Explain your reasoning.
Answers
Answer:
A. The car spends 2.05 hours going 55 miles per hour
B. The car spends 1 hour going 35 miles per hour
C. The trip takes 3.6 hour
Step-by-step explanation:
The equation is
55x+35y=200
Let's solve A
We know the car spends 2.5 hours going 35 miles per hour on the trip, so we put 2.5 in for y and solve for x
55x+35(2.5) = 200
55x + 87.5 = 200
55x = 112.8
x = 2.05 hours going 55 miles per hour
So, the car spends 2.05 hours going 55 miles per hour
Let's solve B
55(3)+35y=200
165 + 35y = 200
35y = 35
y = 1 hour
So, the car spends 1 hour going 35 miles per hour
Let's solve C
We know the car spends no time going 35 miles per hour, so we put 0 in for y and solve for x
55x+35(0)=200
55x = 200
x = 3.6 hours
So, the trip takes 3.6 hour
Last year there
were 620 7th grade
students. This year
enrollment has
increased by 105%.
How many 7th
grade students are
there this year?
Answers
Answer: 1271
Step-by-step explanation:
620 + (105% × 620) =
620 + 105% × 620 =
(1 + 105%) × 620 =
(100% + 105%) × 620 =
205% × 620 =
205 ÷ 100 × 620 =
205 × 620 ÷ 100 =
127,100 ÷ 100 =
1,271
help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)
Answers
Answer:
Box 2 :)
Step-by-step explanation:
What value of n makes this equation true?
0.7n + 0.8n = 2.1
A. n = 0.60
B. n = 1.40
C. n = 3.15
D. n = 3.60
Answers
0.7n+0.8n=2.1
1.5n=2.1
n=1.4
Therefore, the answer is B.
Answer:
B). n = 1.40
Step-by-step explanation:
0.7n + 0.8n = 2.1
(0.7n + 0.8n) = 2.1
1.5n = 2.1
/1.5 /1.5
n = 1.40
hope this helped!
What are 3 completed examples for systems of equations?
Answers
Answer:
There are three ways to solve systems of linear equations: substitution, elimination, and graphing.
Homework please help
Answers
Answer:
c. infinitely many solutions
Step-by-step explanation:
hope this helps :)
What is a perfect 1st interval?
Answers
A perfect interval which identifies the distance between the first note of a major scale and given unison, 4th, 5th or either the octave. Those given intervals can be given in the extra theoretical name as “perfect”.
Perfect intervals has only basic form. The first (also called prime or unison), fourth, fifth and eighth (or octave) are all known as perfect intervals. These intervals are known as "perfect" since these types of intervals sound and they provide the certain frequency ratios which are simple as whole numbers. Perfect intervals sound "perfectly consonant" . that means which are played together, there is a sweet tone to the interval. It sounds perfect or resolved. Whereas, a dissonant which sounds and feels tense and in need of their resolution.
Interval qualities are classified as major, minor, harmonic, melodic, perfect, augmented, and diminished. since ,lower a perfect interval by a half step it becomes a diminished and when it is raised it to a half step it becomes augmented of an interval .
When it is in lower and provides a major non-perfect interval a half step and it becomes a minor interval then if we raise it to a half step it becomes augmented level then if we raise to lower a minor interval by a half step it becomes diminished level , then if we raise a minor level interval a half step it becomes a major level interval.
To know more about perfect interval , click here:
brainly.com/question/30191980
#SPJ4
Decompose one number to subtract 726-340
Answers
The subtraction from the given number is = 386
What is subtraction?Subtraction is defined as one of the basic arithmetic operations used to subtract one value from another value.
340 subtracted from 726 = 386.
It means; 726 - 340 = 386
Learn more about subtraction here :
https://brainly.com/question/28467694
#SPJ1
simplify- 28 x*5 y*-3 z w
Answers
Answer:
this should explain your answer.
megan shaded 2/8 of the circle what is another way she could write this fraction
Answers
Answer:
Step-by-step explanation:
2/8 = 1/4
2/8 = 200/800
and so on.
There are an infinite number of possibilities here.
Answer:
1/4
Step-by-step explanation:
2/8 can be simplified to 1/4
2/8 divided by 2/2 = 1/4
but there are also many other ways
10/40,6/24, etc
Devin gets paid £130 in 9 hrs. How much would he get paid for:
a)1 hour?
b) 30 mins?
c)2 hrs and 30 mins?
Answers
A) £14.44
B) £7.22
C) £36.10
please help will mark brainliest
Answers
After diving the polynomials, the quotient and remainder is q(x)=-x^2+1 and r(x)=-1 respectively.
What are polynomials?
The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases." There is no limit to the number of terms that can exist in a polynomial.
The polynomials are -
a(x)=-x^4
b(x)=x^2+1
Divide a(x) by b(x).
-x^4/x^2+1 = -x^2+1 with remainder as -1.
The quotient is obtained as q(x)=-x^2+1 and the remainder is r(x)=-1.
The given equation is -
a(x)/b(x)=q(x)+[r(x)/b(x)]
Plugging in all the values -
-x^4/x^2+1=-x^2+1+[-1/x^2+1]
[-x^4/x^2+1]-[-1/x^2+1]=-x^2-1
-x^4+1/x^2+1=-x^2-1
-x^4+1=[-x^2+1][x^2+1]
-x^4+1=(-x)^2[x^2+1]+(1)[x^2+1]
-x^4+1=-x^4-x^2+x^2+1
-x^4+1=-x^4-1
So, LHS=RHS is proved using the equation.
Therefore, the quotient is q(x)=-x^2+1 and the remainder is r(x)=-1.
To learn more about polynomials from the given link
https://brainly.com/question/4142886
#SPJ1
Write the equation of the line that is parallel to
y = 3x + 4 and passes through point (-2, 4).
y = 3x - 2
y = 3x + 8
y = 3x + 10
Answers
Answer:
y = 3x + 10
Step-by-step explanation:
Parallel lines have the same slope, so the line will have a slope of 3.
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
4 = 3(-2) + b
4 = -6 + b
10 = b
Plug in the slope and y intercept into y = mx + b
y = mx + b
y = 3x + 10
So, the equation of the line is y = 3x + 10
Find the slope of the line that passes through the points A(0, -5) and
B(3, -4)
Answers
Answer:
0 and 3??
Step-by-step explanation
Answer:
Yes.
Step-by-step explanation:
what is the area of this figure?
Answers
Answer:
357.5cm^2
Step-by-step explanation:
school has 8 periods a day each of 45 minutes’ duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
Answers
Answer:
40 min per period
Step-by-step explanation:
When it has 8 periods :
Total time = 45 min per period for 8 period
Total time = 45 × 8 min
When it has 9 periods : let each period be of x min
Total time = x min per period for 9 period
Total time = x × 9 min
As total time remains same,
45 × 8 = x × 9
5 x 8 = x
40 = x
help me with this!!! Please please
Answers
Answer:
about 154.3
Step-by-step explanation:
8.
Write the linear inequality shown in the graph. The gray area represents the shaded region.
A. y ≥ –3x + 4
B. y ≤ –3x – 4
C. y ≤ –3x + 4
D. y ≥ –3x – 4
Answers
Answer:
C. y ≤ –3x + 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
we know that
The solution of the inequality is the shaded area below the solid line (the gray area)
The slope of the solid line is negative
The y-intercept of the solid line is positive
The equation of the solid line is equal to
therefore
the equation of the inequality is equal to
PLEASE HELP,
10 POINTS + BRAINLIEST
Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for
r = 7 in.
The volume of the sphere is about ____in^3.
Answers
3.14 pi
radius: 7in.
Result units: in^3, this is the results of in used for radius; no conversion needed
Formula volume of a sphere: (4/3)* pi * r^3
(4/3)(3.14)(7)(7)(7)
(4/3)(3.14)(343)
(4/3)(1077.02)
(1.3)(1077.02) \\repeated 3 infinite
1436.026666\\repeated 6inf
The volume of the sphere is about 1436.0266 in^3
Answer:
Step-by-step explanation:
1436 is the answer
Find the radius r of the circle. Round your answer to the nearest tenth.
Answers
Answer:
it might be 2.6
Step-by-step explanation:
im assuming the 16.3 is the circumfrence, so if you follow the formula for circumfrence (2πr) the radius would be 2.6. hope this is correct
The radius r of the circle is 4.4 yd .
What is sector of circle?A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.
What is length of arc?For a circle, the arc length formula is θ times the radius of a circle.
Arc Length = 2 π r (θ/360°)
where,
r = radius of circle
θ = angle of Sector
According to the question
Arc Length of circle = 16.3 yd
Angle of sector= 240°
By using arc length formula
Arc Length = 2 π r (θ/360°)
substituting the value
16.3 = 2π r (240°/360°)
16.3 = 2π r * [tex]\frac{2}{3}[/tex]
16.3 * 3 = 4π r
54.9 = 4π r
As π = [tex]\frac{22}{7}[/tex]
54.9 = 4 * [tex]\frac{22}{7}[/tex] r
54.9 * 7 = 88 r
384.3 = 88 r
r = 4.4 yd
Hence, The radius r of the circle is 4.4 yd .
To know more about sector of circle and length of arc here:
https://brainly.com/question/2571307
#SPJ2
How to solve 5x 2 7x 4?
Answers
We can solve this equation by using quadratic formula. So we have two solution of given equation.
How do we solve quadratic equation?Write the quadratic equation in standard form a + bx + c = 0. Identify the values of a, b, c. Then write the Quadratic Formula. Then substitute in the values of a, b, c. Then solve and check the solution.
What is quadratic formula?Quadratic formula that gives the solutions of the general quadratic equation a + bx + c = 0 and that is usually written in the form quadratic formula x = [-b ± √(b² - 4ac)] / (2a). So to solve a quadratic equation using quadratic formula just get the equation into standard form a + bx + c = 0 and apply the quadratic formula.
Here we have equation 5-7x+4
where a=5 b= -7 c=4
putting values in the formula
x= -(-7) +[tex]\sqrt{(-7)^2-4(5)(4)/2(5)}[/tex]
x= 7 + [tex]\sqrt{49+80/10}[/tex]
x= 7+[tex]\sqrt{129/10}[/tex]
Hence given values given two solutions.
To learn more about quadratic equation visit;
brainly.com/question/30098550
#SPJ4
Complete question is: How to solve the given quadratic equation?