The roots of a quadratic equation can be found by analyzing the shape of the parabola formed by the equation's graph. The number of roots is determined by the number of x-intercepts.
To find the nature of the roots of a quadratic equation using a graph, you can plot the graph of the equation and analyze the shape of the graph. The graph of a quadratic equation is a parabola which opens upward or downward depending on the sign of the coefficient of the x² term. If the coefficient is a positive number, the parabola opens upward and if the coefficient is a negative number, the parabola opens downward. The roots of the equation are the x-intercepts of the graph, and there may be zero, one, or two roots. If the graph intersects the x-axis at two distinct points, the equation has two real, distinct roots. If the graph touches the x-axis at one point, the equation has one real root. If the graph does not intersect the x-axis, the equation has no real roots.
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Which expression is a factor of 9r^2-4r+1
Answer:
There are no real factors for this.
Step-by-step explanation:
We could answer this either by checking each listed expression to see whether it is a factor of 9r^2-4r+1, or
We could take the coefficients of 9r^2-4r+1, determine the quantity b²-4ac (called the 'discriminant') and draw a conclusion based upon whether the discriminant is -, + or 0.
Let's use the 2nd approach.
Here, a = 9, b = -4 and c = 1.
Then the discriminant is b²2 - 4ac, or (-4)² - 4(9)(1), or 16 - 36.
Since 16 - 36 is negative, we conclude that this 9r^2 - 4r + 1 has NO REAL FACTORS.
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Calculate the IQR given the box plot below:
Reading Box Plots
A. 75
B. 25
C. 10
D. 50
Answer:
25
Step-by-step explanation:
I just did the same thing!!! LOL :) I hoped that helped
Answer:
c
Step-by-step explanation:
To find the iqr, you need to subtract 50 - 40. 50 - 40 = 10
What is the value of the y-intercept of the graph f(x)=138⋅1.9^x?
Answer:
Hi! The answer to your question is 138
Step-by-step explanation:
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Hope this helps!!
- Brooklynn Deka
Answer:
( 0 , 0 )
Step-by-step explanation:
Please help this is due tomorrow and I don’t know what to do. I keep getting this wrong.
Answer:
BE=24
Angle EBC=33
Step-by-step explanation:
Rectangle diagonals are congruent so
[tex]3x + 6 = 6x - 12[/tex]
[tex]3x + 18 = 6x[/tex]
[tex]18 = 3x[/tex]
[tex]x = 6[/tex]
Plug that in one of the equations.
[tex]3(6) + 6 = 24[/tex]
BE=24.
ECD is apart of Isoceles triangle EDC.
Another isoceles triangle is EAB.
They triangle share two sides( remeber all diag ki bals in a rectangle are congruent) and a angle E, so they are congruent triangles.
That means Angle EBA measures 57 degrees.
Angle EBC and Angle EBA add up to 90 degrees so
Angle EBC=33
The polygons are similar. Find the value of x
HURRY ITS EASY 10PT
Terrell ordered a set of yellow and brown pins. He received 52 yellow pins and 28 brown pins. What percentage of the pins were yellow?
Answer:
65%
Step-by-step explanation:
52 + 28 = 80 total pins
52/80 = .65
Answer:
65% of the pins were yellow
Step-by-step explanation:
52 +28= 80 total flowers
80= 100%
52= x%
80x = 5200
x = 65%
Which is the most accurate way to estimate 32% of 14?
A: 1/2 x 15
B: 1/3 x 15
C: 1/3 x 17
D: 1/2 x 17
Answer:
B: 1/3 × 15
Step-by-step explanation:
1/3 = 33%
Round 14 up to 15.
This will get you the closest answer
Please help with 17, 19, and 21 using trigonometry. Thanks!
what is the measure of
Answer:
b)34°
Step-by-step explanation:
3x+50°+2x-30°=180°
5x+20=180° collect like term
5x=180°-20
5x/5=160°/5
×=32°
find M
M=(2x-30°) by Vertical opposite angle
2×32°-30
64°-30°=34°
question is in pic !!!!
Answer:
B
Step-by-step explanation:
(The picture on the bottom left)
Which has a higher cost of credit, a $12,000.00 loan for 3 years at 28.8% interest or a $24,000.00 loan for 3 years at 14.4% interest?
The cost of credit is the amount that a person pays over and above the amount borrowed.
P is the principal, r is the interest rate,
m is the number of monthly payments,
M is the monthly payment
A.
There is not enough information to calculate the cost of credit.
B.
A $24,000.00 loan for 3 years at 14.4% interest has a higher cost of credit.
C.
A $12,000.00 loan for 3 years at 28.8% interest has a higher cost of credit.
Answer:
B
Step-by-step explanation:
A box is to be wrapped in a shiny pink decorative paper. The box is 99 inches long, 55 inches wide, and 44 inches high. What is the minimum amount of decorative paper needed to cover the box?
Answer:
24442 square inches of decorative paper
Step-by-step explanation:
To solve for the above question, we have to find the Surface Area of the box. The box is shaped as a Rectangular Prism.
Hence, the formula is given as:
A = 2(wl + hl+ hw)
Where:
Length (l) = 99 inches
Width (w) = 55 inches
Height (h) = 44 inches
=2 × (55×99 + 44×99 + 44×55)
=24442 square inches
Therefore, the minimum amount of decorative paper needed to cover the box is 24442 square inches of decorative paper.
Find the surface area of the prism.
3 m
4 m
5 m
10 m
What is 4/3 ft x 15 inches
I need the anwser in inches
Answer:
3/45
Step-by-step explanation:
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The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
A) Use the distance formula to find the length of each side, and then add the lengths.
B) Use the slope formula to find the slope of each side, and then determine if the opposite sides are parallel.
C) Use the slope formula to find the slope of each side, and then determine if the consecutive sides are perpendicular.
D) Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
Answer: A
Step-by-step explanation:
We have to find the perimeter of the figure.
For doing so, we have to find the length of all the sides of a quadrilateral
The length of a line segment joining points (x1,y1) and (x2,y2) is given by the distance formula:
after finding length of all the sides, we add the length of each side to get the perimeter.
Use the distance formula to find the length of each side, and then add the lengths.
log4(x-3) + log4(x+3) =2
Answer:
x=5
Step-by-step explanation:
the answer is choice c
Iplease need help will mark brainliest
Answer:
6. xint=-7
yint=-3
7. xint=-7
yint=-5
Step-by-step explanation:
Answer:
6. (-7,-3)
7. (-7,-6)
Them are the coordinates
There are 42 more red marbles in a jar than there are white marbles. If there are 238 marbles in the jar, how many of them are red and how many are white?
Answer: red marbles = 140
White marbles = 98
Step-by-step explanation:
Let the number of white marbles be represented by x
Since there are 42 more red marbles in a jar than there are white marbles, red marbles will be: = x + 42
Since there are 238 marbles in the jar, this can be represented in an equation as:
x + x+42 = 238
2x + 42 = 238
2x = 238 - 42
2x = 196
x = 196/2
x = 98
White marbles = 98
Red marbles = x + 42
= 98 + 42
= 140
The family car leaves the house 112 hours after the moving van and follows the same route. The moving van travels at an average speed of 45 miles per hour. The family car travels at an average speed of 60 miles per hour. After how many hours of driving will the family car catch up to the moving van?
Answer: 336 hr
Step-by-step explanation:
Given
The speed of the van is 45 mph
The speed of the family car is 60 mph
distance traveled by van in 112 hours is
[tex]d_1=45\times 112=5040\ miles[/tex]
After 112 hours family car started its Journey. Suppose, van travels another x miles after the family car started its Journey
So, distance traveled by the family car in 't' hours
[tex]\Rightarrow 60\times t=112\times 45+45\times t\\\\\Rightarrow 15 t=5040\\\\\Rightarrow t=\dfrac{5040}{15}=336\ hr[/tex]
So, after traveling 336 hr, the family car will catch the van
Find the Volume
If its correct i give 5 stars a like and brainliest
Answer:
171 in³
Step-by-step explanation:
kooooooooooooo9999999999
Answer:
Looooool
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Step-by-step explanation:
Can I have brainiest plz! Thanks!!!
Answer:
I am not sure how you want this question to be answered since it's not a question but um... the answer is Chim chim chim churie
Step-by-step explanation:
The height of a seat on a Ferris wheel can be modeled as
H (t) = 48 sin (pi/20t + 3pi/2) + 54, where tis time in seconds and H(t) is
height in feet
How far off the ground is a seat when it is at the top of the Ferris wheel?
A. 108 feet
B. 102 feet
C. 96 feet
D. 54 feet
Answer: 102 ft
Step-by-step explanation:
Answer:102 feet
Step-by-step explanation:
What is the slope of the line containing (-2,5) and (4,-4)?
Answer:a
Step-by-step explanation:
b. -3/2
Step-by-step explanation:
This is the correct answer
Please help
Please help find Y
Answer:
2
Step-by-step explanation:
The given angle is 45 degrees so the triangle has the same legs.
we can find the hypotenuse by using the Pythagorean theorem
y= √2(√2)^2 = √4 = 2
does anyone know how to do this
Answer:
hello
bring the side of the first part of the triangle then you can to bring the (x) of the second traingle
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In the diagram, the measures of 3 and 6 are 50°. The measure of 5 is
130°. Are lines cand d parallel?
1/2
3 4
d
5
6
7
8
O A. Yes, because 5 and 6 are supplementary
B. No, because 6 and 5 are not congruent.
O C. Yes, because 3 and 6 are congruent.
D. No, because 3 and 5 are not supplementary
Answer:
c
Step-by-step explanation:
The solution is, (c) Yes, because angle 3 and angle 6 are congruent.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
given that,
Angles 3 and 6 are "alternate interior" angles. When those angles are congruent, as these are, then the lines crossed by the transversal are parallel.
we have,
We expect angles 5 and 6 to be supplementary because they are a linear pair.
That fact says nothing about the relationship of line d to line c.
Hence, The solution is, (c) Yes, because angle 3 and angle 6 are congruent.
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Which of these figures has rotational symmetry?
Find the equation of a line that is perpendicular to 4x+6y=1 that has a greater y intercept compared to 2x+3y=18
Answer:
4y = 6x + 40
Step-by-step explanation:
The general equation of a straight line is y = mx + b
m is the slope and b is the y-intercept
let us write both equations in this form;
we have this as;
6y = -4x + 1
y = -4x/6 + 1/6
and;
2x + 3y = 18
3y = -2x + 18
y = -2x/3 + 6
So firstly we want to find an equation that is perpendicular to the first
When two lines are perpendicular, their slopes has a product of -1
The slope of the first line is -4/6
let the slope of the line we want be m
As per they are perpendicular;
-4/6 * m = -1
-4m/6 = -1
-4m = -6
m = 6/4
So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6
we can choose 10
and we have the equation as:
y = 6x/4 + 10
multiply through by 4
4y = 6x + 40
Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. How many hours will she need to babysit to buy the dress
Answer:
Down below. was solved using an equation.
Step-by-step explanation:
[tex]y=40+9x\\y=112\\112=40+9x\\112-40=40+9x-40\\72=9x\\72/9=9x/9\\8=x[/tex]
She would need 8 hours of babysiting