Which graph represents a quadratic function with a negative discriminant?
Choice 1
Choice 2
Choice 3
Choice 4
Answer:
Choice 4
Step-by-step explanation:
#4 because the graph does not intersect the x-axis
The graph that represents a quadratic function with a negative discriminant is graph 4.
What is a Discriminant?The part in the formula of a quadratic equation that helps us to know the nature of the roots of a quadratic equation is known as a discriminant.
D = b2 - 4ac,
If the value of the discriminant is greater than zero then the roots of the equation are real and distinct,If the value of the discriminant is equal to zero then the roots of the equation are real and same, andIf the value of the discriminant is less than zero then the roots of the equation are imaginary.Since for the value of the discriminant to be negative, the roots of the quadratic equation should be imaginary. Also, imaginary never intersects the x-axis of the graph.
Now, in the group of the graphs the only graph that does not intersect the x-axis of the graph or have imaginary roots is graph 4.
Hence, the correct option is graph4 (Bottom Right).
Learn more about the Discriminant here:
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PLS HELP ME PLS 20 POINTS FOR HELPING
Solve using suitable property
-2/3 x 5/7 x -9/16 x 14/25
Given:
The given expression is:
[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]
It can be written as:
[tex]=\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-3\times 3}{2\times 2\times 2\times 2}\times \dfrac{2\times 7}{5\times 5}[/tex]
[tex]=\dfrac{-2\times 5\times (-3)\times 3\times 2\times 7}{3\times 7\times 2\times 2\times 2\times 2\times 5\times 5}[/tex]
Cancel out the common factors.
[tex]=\dfrac{-(-3)}{2\times 2\times 5}[/tex]
[tex]=\dfrac{3}{20}[/tex]
Therefore, the value of given expression is [tex]\dfrac{3}{20}[/tex].
what is 5 2/3 divided by 3/2
Answer:
≈3.8
Your Welcome!
What fraction of the students are wearing either a white or blue shirt?
PLX HELP THIS TEST IS 20 PERCENT OF MY FINALE GRADEEEEE
On Friday,
3/10
of the students at school were wearing white shirts and
5/12
of the students were wearing blue shirts.
select the fraction of students wearing either a white shirt or a blue shirt.
Answer:
43/60
3/10 x 12 = 36/120
5/12 x 10 = 50/120
50/120 + 36/120 = 86/120
Simplified we get 43/60
If (-3)^-5=1/x, what is the value of x?
options are in the photo
Answer:
X= -243
Used Math.way
1. Determine the following:
1.1. A car does a distance of 340 km for a consistent speed of 85 km/h. Hoy
long will it take the car to go the entire distance.
Answer:
v=d/t
v=340km/85km/h
v=4 km
I hope this helps you
if x=9.6 , y=3.60 and z=5 , find the percentage error in the calculation of
x+y/2 giving your answer to three significant figures.
formula for percentage error is (actual value /absolute error)
X+y/2
9.6+3.60/2 = 11.4,,
Help please! I'll mark you as Brainliest!
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Since we are working with tenths all we have to do is add the numerators of each fraction.
4 + 3 + 1 + 1 = 9
9/10
The length of a living room is 12ft and it's width is 10 1/2 ft. The length of the living room is being expanded by X feet? Choose an expression to represent the new area of the living room in square feet and the expanded fotm of the expression? Select all that apply
Answer:
C. 10.5(12 + x) square feet
E. (126 + 10.5x) square feet
Step-by-step explanation:
A. 10.5(12x) square feet
B. (10.5 + 12 + x) square feet
C. 10.5(12 + x) square feet
D. 126x square feet
E. (126 + 10.5x) square feet
F. (22.5 + x) square feet
length of a living room = 12ft
width = 10 1/2 ft
The length of the living room is being expanded by X feet
New length of a living room = 12ft + x feet
new area of the living room = length × width
= 12ft + x feet × 10 1/2 ft
= (12 + x) 10 1/2
Note: 10 1/2 is equivalent to 10.5
= (12 + x) 10.5
= (126 + 10.5x) square feet
Options that applies
C. 10.5(12 + x) square feet
E. (126 + 10.5x) square feet
Help me please I am struggling with this question
Answer:
a: 153
Step-by-step explanation:
Do cross multiplication.
Clara bought a shirt for %18.45 and a skirt for $22.68. She gave the cashier $50 for the purchase. How much change will clara receive?
Answer:
$8.87
Step-by-step explanation:
Add the cost of the shirt and the skirt, 18.45 + 22.68 = 41.13
50-41.13 = $8.87
find the missing measurement
9514 1404 393
Answer:
4.2 km
Step-by-step explanation:
The altitude of the triangle can be found using the triangle area formula:
A = 1/2bh
22.7 km² = 1/2(10.8 km)h
h = (22.7 km²)/(5.4 km) ≈ 4.2037... km
The missing measurement is about 4.2 km.
What is the area of this regular polygon?
Answer:
A=25√3 cm^2
Step-by-step explanation:
Since it is a regular triangle, all sides are equal to 10cm. The dotted line is a perpendicular bisector, which means that it seperates the triangle into two perfect halves. So a right triangle is formed. The bottom of the right triangle will be half of 10, and 10/2=5. So to find the missing side, use the pythagoreom theorem.
5^2+x^2=10^2
25+x^2=100
x^2=75
x= 5√3
The height of the triangle is found, so apply the formula for area:
A=1/2*5√3*10
A=25√3
please HELPL I WILL MARK BRAINLIST FOR FIRST AND CORRECT ANSWER
how many solutions is there to the system of equations? 2x + 3y = 11 -4x - 6y = -22
Answer:
x = 4, y = -3
Step-by-step explanation:
{2x - y = 11
{x + 3y = -5
You can use the substitution method by solving for x in the second equation:
x + 3y = -5
Subtract 3y from both sides:
x = -3y - 5
Now, substitute this value for x into the first equation:
2x - y = 11
2(-3y - 5) - y = 11
Distribute:
-6y - 10 - y = 11
Add 10 to both sides:
-6y - y = 21
Combine like terms:
-7y = 21
Divide both sides by -7:
y = -3
Next, substitute this value for x into the second equation:
x + 3y = -5
x + 3(-3) = -5
Multiply:
x - 9 = -5
Add 9 to both sides:
x = 4
15. What is the volume of a rectangular prism with a length 8 cm, width 5 cm and height 3 cm?
Answer:
120cm³
Step-by-step explanation:
V=w·h·l=5·3·8=120cm³
Answer: i hope it help u
Step-by-step explanation:
which question is a statical question
A.What is the best genre of books?
B.What is the longest book you have read?
C.What genre was the last book you read?
Answer:
B is a statistical question
Step-by-step explanation:
A and C ask for qualitative data or categorical data
B asks for quantitative data or numerical data
We obviously use numerical data for statistical work, so B is the answer
if a quadrilateral has angles measure 2y,3y ,y+5and 2y-1,what is the value of y
a.360
b.45.5
c.90.5
d.44.5
1. Lilly has two cousins. One of the cousins is 7 years older than Lilly. The other cousin is 3 years younger than Lilly. The product of Lilly’s cousins' ages is 24. How old is Lilly?
2. Jackie is building a rectangular football field that has an area of 6000 square yards. The football field must be 40 yards longer than its width. Determine the width of the football field, in yards.
3. James is reading a book and noticed the page numbers are consecutive integers whose product is 1640. What is the value of the larger page number?
Answer: a. 5 years
b. 60 yards
c. 41
Step-by-step explanation:
1. Let Lily's age be x.
One of the cousins is 7 years older than Lilly. The age will be = x + 7
The other cousin is 3 years younger than Lilly. The age will be = x - 3
Therefore, (x + 7)(x - 3) = 24
x² - 3x + 7x - 21 = 24
x² + 4x - 21 - 24 = 0
x² + 4x - 45 = 0
x² + 9x - 5x - 45 = 0
(x² + 9x) - (5x - 45) = 0
x(x + 9) - 5(x + 9) = 0
(x - 5)(x + 9) = 0
(x - 5) = 0
x = 0 + 5
x = 5
Therefore, Lily is 5 years
2. Let the width be represented by x
Therefore, length will be x + 40.
Area = length × width
6000 = x(x + 40)
x² + 40x = 6000
x² + 40x - 6000 = 0
x² + 100x - 60x - 6000 = 0
x(x + 100) - 60(x + 100) = 0
(x - 60)(x + 100) = 0
x - 60 = 0
x = 0 + 60 = 60
Therefore, the width is 60 yards
3. Let the consecutive numbers be x and x+1.
Therefore, x(x + 1) = 1640
x² + x = 1640
x² + x - 1640 = 0
x² + 41x - 40x - 1640 = 0
x(x + 41) - 40(x + 41) = 0
(x - 40) = 0
x = 0 + 40
x = 40
Larger number = x + 1 = 40 + 1 = 41
T Frank leans a 10 foot ladder against the side of his house, but because of a
rose bush next to the house, the bottom of the ladder is 3 feet away from the
wall. How high will the top of his 10 foot ladder really reach? feet
Answer:
9.5 feet
Step-by-step explanation:
We use Pythagorean thm:
a² + b² = c²
Given:
b = 3
c = 10
Work:
a² + b² = c²
a² + 3² = 10²
a² + 9 = 100
a² = 91
[tex]\sqrt{a^2} =\sqrt{91}[/tex]
a = 9.5
Pleaseeeew HELPPPP no one ever answers my questions on here
Answer:
Circumfrence: 40.21
Radius: 6.4
Step-by-step explanation:
For radius, you only have to divide the diameter (in this case 12.8) by 2 which gives us 6.4
For Circumference, plug in the radius in the formula C=2π(6.4), and that gives us 40.21
if f(x) = 2x +1 and g(x) = 5x-6 then what are f(-1) and g(3)
Answer: -1
Step-by-step explanation: ANSWER : -1
f(x)=3x−1=y
⇒x=3y+1
∴f−1(y)=3y+1
⇒f−1(x)=3x+1
g(x)=5x+6=z
⇒x=5z−6
g−1(z)=5z−6
⇒g−1(x)=5x−6
g−1(f−1(x))=g−1(3x+1)
=53x+1−6
=15x−17
∴g−1(f−1(2))=
Which histogram represents the times from team are on the obstacle course
Answer:
Image attached
Step-by-step explanation:
Write -0.5 repeating as a fraction or mixed number
Answer:
Step-by-step explanation:
1/2 as a fraction
Pleaseee helpppp I really need it now please
Answer:
c = 60
Step-by-step explanation:
A triangle = 180 degrees
180-(15+105)=c
c=60
Expand -2/10(1-2x + 2
Answer:
[tex]\frac{2x}{5} - \frac{3}{5}[/tex]
Find the value of x.
Please help me
The volume (V) of a cube is 216 cubic Inches. What is the surface area (S) of the cube?
Answer:
216in^2
Step-by-step explanation:
6*6*6=216
side length is 6
6^2=36
36*6=216
If y=−3, then
4y
4+y
=
Answer:
4y4+y is 4x-3x4+-3 so the answer is -51
Step-by-step explanation:
4 times -3 is -12
-12 times 4 is -48
-48 plus -3 is -51
hope this is right lm.ao
Answer:
4 x -3 + 4 = 5
4 x -3= 1
4 + -3 =1
Step-by-step explanation:
I checked the calculator (Sorry if I’m wrong)