Taking into account the discriminant of a cuadratic function, values of c less than[tex]-\frac{9}{4}[/tex] cause the quadratic equation -x²+3x+c=0 to have no real number solutions.
Discriminant of a cuadratic functionThe function f(x) = ax² + bx + c with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
The following expression is called discriminant:
Δ= b²- 4×a×c
The discriminant determines the amount of roots of the function. The roots are those values of x for which the expression is 0, so it graphically cuts the x-axis.
Then:
If Δ <0 the function has no real roots and its graph does not intersect the x-axis.If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points .If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.Value of cIn this case, for the quadratic equation -x²+3x+c=0 you know:
a= -1b= 3c= cIf the function has no real roots, the discriminant is less than zero (Δ <0). This is: b²- 4×a×c < 0
Substituting the corresponding values, you get:
3²- 4×(-1)×c < 0
Solving:
9 + 4×c < 0
4×c < -9
c< (-9)÷4
c< [tex]-\frac{9}{4}[/tex]
Finally, values of c less than[tex]-\frac{9}{4}[/tex] cause the quadratic equation -x²+3x+c=0 to have no real number solutions.
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2. MGSE7.G.5: What is the value of x?
A. 74°
B. 148°
C. 37°
74€
D. 106°
help me with this please..!
Answer:
[tex]y \geq -4[/tex]
Step-by-step explanation:
This is because the lowest the y-coordinate goes to is -4.
What are the coordinates of point Q’?
Q’( –3, 5)
Q’(3, –5)
Q’(5, –3)
Q’(–5, –3)
Answer:
Q’(–5, –3)
Step-by-step explanation:
This is because the pints of q are this.
difference of -150 and 325
Step-by-step explanation:
[tex] - 150 - 325 = - 340[/tex]
Which fraction is closest to 1 1/2?
Answer:
4/2
Step-by-step explanation:
Find number closest to 1.5
[tex]\frac{4}{2} = 2\\1/2=0.5\\6/2 = 3\\\\2/4 = 0.5[/tex]
4/2 is closest to 1.5
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What is the measure of angle B in the triangle?
This triangle is not drawn to scale.
Enter your answer in the box.
m∠B=
°
Answer:
Step-by-step explanation:
(2x-30) + 40 + (x+20)=180
=3x+30=180
=3x=150
=x=50
B=70
Given g(x)=4x-2/5 find the inverse
Answer:
g^-1(x)=1/4x+1/10
Step-by-step explanation:
y=4x-2/5
x=4y-2/5
4y-2/5=x
20y-2=5x
20y=5x+2
y=1/4x+1/10
g^-1(x)=1/4x+1/10
Can someone help me with this please.
Answer: A. Register
Step-by-step explanation:
Each time you write a check or deposit money in your account, its recorded in your check register.
Pls help! This is due soon! Would appreciate it! :))
Answer:
Step-by-step explanation:
helpppppppppppppppppppppppp
Answer:
[tex]360\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the bottom rectangle
[tex]A = l * w[/tex]
[tex]A = 10\ cm * 12\ cm[/tex]
[tex]A = 120\ cm^2[/tex]
Step 2: Determine the area of the back rectangle
[tex]A = l * w[/tex]
[tex]A = 10\ cm * 5\ cm[/tex]
[tex]A = 50\ cm^2[/tex]
Step 3: Determine the area of the top rectangle
[tex]A = l * w[/tex]
[tex]A = 10\ cm * 13\ cm[/tex]
[tex]A = 130\ cm^2[/tex]
Step 4: Determine the area of the triangle
[tex]A = \frac{h*b}{2}[/tex]
[tex]A = \frac{5\ cm * 12\ cm}{2}[/tex]
[tex]A = \frac{60\ cm^2}{2}[/tex]
[tex]A = 30\ cm^2[/tex]
Step 5: Determine the surface area
[tex]120\ cm^2 + 50\ cm^2 + 130\ cm^2 + 2(30\ cm^2)[/tex]
[tex]360\ cm^2[/tex]
Answer: [tex]360\ cm^2[/tex]
In 60 seconds, Darrell walks 90 meters.
Select the two answers that describe the unit rate at which he walks.
1.5 seconds per meter
1.5 meters per second
90 meters per second
112 meters every second
30 meters every second
30 seconds per meter
Solve for the vaule of x:-
[tex]2x+3 = 5[/tex]
Answer:
The value of x = 1
Step-by-step explanation:
2x+3 = 5
=> 2x = 5-3
=> 2x = 2
=> x = 2/2
=> x = 1
Answer:
x = 1Step-by-step explanation:
In this question we are given with an equation that is 2x + 3 = 5 . And we are asked to find the value of x .
Solution : -
[tex] \longmapsto \qquad \: 2x + 3 = 5[/tex]
Step 1 : Subtracting with 3 on both sides :
[tex] \longrightarrow \qquad \:2x + \cancel{ 3} - \cancel{3} = 5 - 3[/tex]
On further calculations, We get :
[tex] \longrightarrow \qquad \:2x = 2[/tex]
Step 2 : Dividing with 2 on both sides :
[tex] \longrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{2}{2} }[/tex]
On calculating further, We get :
[tex] \longrightarrow \qquad \: \blue{\underline{\boxed{ \sf{x = 1}}}} \quad \bigstar[/tex]
Henceforth , value of x is 1 .Verifying : -
Now we are checking our answer by substituting value of x in the given equation . So ,
2x + 3 = 52 ( 1 ) + 3 = 52 + 3 = 55 = 5L.H.S = R.H.SHence , Verified .Therefore , our answer is correct .
#Keep LearningA rectangular prism is pictured below. What is the volume of the rectangular prism?
16 ½ 4 cm 9¼
A. 89 ¼cm³
B. 203 ½cm³
C. 576 ⅛ cm³
D. 610 ½cm³
Answer:
D: 610 ½cm³
Step-by-step explanation:
16 ½= 16.5
9 ¼= 9.25
V= L x W x H
V=16.5 x 4 x 9.25
16.5x4=66
66x9.25=610.5cm³
610.5cm³ = 610 ½cm³
there is your answer
THAT IS THE CORRECT ANSWER....
A QUESTION
ARE U HIGH SCHOOL?
Can someone help me please?
Answer:
its too small to see
Step-by-step explanation:
Find the area of a sector of a circle with radius 6 centimeters and central angle 4pi/3 radians.
The area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point (called the center of a circle).
We have the radius of the circle r = 6 centimeters
Central angle = 4π/3 = 240°
We know the area of the sector :
[tex]\rm =\dfrac{\theta}{360\°}\pi r^2[/tex]
[tex]\rm =\dfrac{240\°}{360\°}\pi (6)^2[/tex]
= 0.667×3.1415×36
= 75.43 square centimeters
Thus, the area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.
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Y’all need to solve this to see if I’m correct… I got the answer of 144 is it correct? If not what’s the real answer..
Answer:
Answer is 144 yeah you're good
Step-by-step explanation:
To find any sum of the interior angles for any regular polygon, you would use the equation (n - 2) * 180 [With n being the number of sides the polygon has]
Since the decagon has 10 sides n would be equal to 10, now plug it into this equation
[tex]= (10 - 2) * 180\\= 8 * 180\\= 1440[/tex]
So now we know the sum of the interior angles of the decagon is 1440, now if you were to find out the measurement of an interior angle for this decagon you would divide the sum of the interior angles by the amount of sides of the polygon.
In which case, the decagon has ten sides so...
[tex]= \frac{1440}{10} \\= 144[/tex]
Can someone help me with this please
Answer:
1. 4th one (bottom right)
2. y=x -5
3. positive trend
Please help! Will mark brainlyest.
Point A is located at (-2, -6), so since it mentions you must translate 4 units up, you know that the y coordinate will move 4 units up. Hence, -6 + 4 = -2, so the final coordinates of the question is (-2, -2).
Answer:
(-2,-2)
Step-by-step explanation:
Y-axes gose up and down
x-axes gose side to side
(x,y) is how its written. So -6 +4= -2
brainlyest and five stars, please :)
What numbers multiply to get 72 and add to get 12?
Answer:
9,8,3
Step-by-step explanation:
9×8=72
9+3=12
as you can see the common number is 9 here
i will give brainliest image below
Answer:
55°
Step-by-step explanation:
50+75=125. 180-125=55
55+90=145. 180-145=35
90-35=55
Angle ABC (B) is 55°
Method I used:
All lines need to add to 180° so I found the 3rd angle for C. Then I drew an imaginary line perpendicular to lines n and m that intersects line m at point B. The angles of that triangle need to add to 180° so I added 90° (right angle) with the 3rd angle of C (55°) then subtracted that value from 180 to get angle B. Then i found ABC (B).
Will mark brainlyest!
Answer: the answer is D which is 4cm2
What is the cost of each filter if eight filters cost $39.922?
Please help!
Answer:
Your answer is exactly 100% $4.99!
Step-by-step explanation:
Answer:
$4.99 is your answer.
Step-by-step explanation:
Have a great morning, afternoon or night!
~Dreamer1331~
*Please mark BRAINLIEST if correct and you feel I deserve it, thank you!*
50 POINTS AND BRAINLIEST! PLEASE HELP!
Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating
component you need to handle them separately.
What is 0.47 expressed as a fraction in simplest form?
What is 0.47_ expressed as a fraction in simplest form?
What is 0.47__expressed as a fraction in simplest form?
3 parts to this question! answer all honestly and show ur work!
The computation shows that the value of 0.47 when expressed as a fraction in its simplest form is 47/100.
How to convert a decimal to a fraction?Multiply by 100/100 and keep in the form without division.
A. (0.47)
0.47 x 100/100
= 47/100
B. (-0.47)
= -0.47 x 100/100
= -47/100
C. (0.--47)
A minus sign multiplied by another minus sign makes a positive sign
= 0.--47 ⇒ 0.47
= 47/100
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write a polynomial function with 3,-2,-5
Answer:
3x³ - 2x² + x - 5
Hope this helps!
At the state fair,
a person must be at least 138 centimeters tall
to ride the roller coaster. Billy wants to ride
the coaster. He is 4 feet 7 inches tall. Is Billy tall
enough to ride the coaster? Explain.
Answer:
Yes
Step-by-step explanation:
Billy is 4'7
138 centimeters in feet is 4'5
sp billy is 2 inches over the requirment.
100 Brainliest up for grabs to person who can answer all of these with no links:
Dave has a lawn mowing business. Based on daily sales figures for the past two summers, he has developed the following probability distribution for X = number of lawns mowed on a randomly selected day.
A) What is the probability that he will mow exactly 2 lawns on a randomly selected day?
B) What is the probability that he will mow at least 1 lawn on a randomly selected day?
C) What is the expected value (mean) of lawns mowed on a randomly selected day?
Using a discrete probability distribution, it is found that:
a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
c) The expected value is of 1.3 lawns mowed on a randomly selected day.
What is the discrete probability distribution?Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:
P(X = 0) = 0.2.P(X = 1) = 0.4.P(X = 2) = 0.3.P(X = 3) = 0.1.Item a:
P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
Item b:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2 = 0.8[/tex]
There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
Item c:
The expected value of a discrete distribution is given by the sum of each value multiplied by it's respective probability, hence:
E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.
The expected value is of 1.3 lawns mowed on a randomly selected day.
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What is the volume of the composite figure? 1,200 units3 4,400 units3 5,040 units3 6,000 units3
Answer:
6,000 units3
Step-by-step explanation:
got it rt
Un oso al que le encanta la miel quiere sacar miel de una colmena que hay en la rama de un árbol, pero está demasiado alta. Para alcanzarla, se sube en una roca de 12 dm de alto que hay justo debajo y, con las garras muy estiradas, llega justo a cogerla.
Si este oso cuando se estira mide exactamente 2,3 m, ¿a qué distancia del suelo estaba exactamente la colmena?
Tomando la suma de las alturas, veremos que la colmena está a 3.5 metros del suelo.
¿A qué distancia del suelo estaba exactamente la colmena?
La distancia del suelo será igual a la suma entre la altura del oso, que es 2.3 metros, y la altura de la roca, que es de 12 decimetros.
Recordar:
1dm = 1*10^(-1) m
Entonces podemos hacer el cambio de unidades:
12dm = 12*10^(-1) m = 1.2 m
Así, la suma de las alturas es:
1.2m + 2.3m = 3.5m
Es decir, la colmena está a 3.5 metros del suelo.
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hello, can anyone help me, please?
Find the circumference and area of the circle. Each unit on the graph measures 1 centimeter. Round to the nearest tenth, if necessary.
The circumference of the circle, to the nearest tenth, is: 47.1 cm
The area of the circle, to the nearest tenth, is: 176.7 cm²
What is the Area and Circumference of a Circle?Circumference = 2πrArea = πr², where r is the radius of the circle.Since each unit = 1 cm on the graph, radius = 7 1/2 = 7.5 cm.
Circumference = 2πr = 2π(7.5)
Circumference = 47.1 cm
Area = πr² = π(7.5²) = 176.7 cm²
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Solve for x
x= ?
3x-4 3x-8
Answer:
x = 32
Step-by-step explanation:
=> (3x-4) + (3x-8) = 180° (Linear pair)
=> 6x - 12 = 180
=> 6x = 192
=> x = 192/6
Therefore x = 32