Solve the inequality and express your answer in interval notation
x^2 - 12x + 3 <0

Answers

Answer 1

Answer:

x is ( -∞, 6-√(33) ) U ( 6+√(33) , -∞ )

Step-by-step explanation:

I have attached the explanation on the image above, hopefully this help

Solve The Inequality And Express Your Answer In Interval Notation X^2 - 12x + 3 &lt;0

Related Questions

If a class has a total of 3400 points I can earn how many points would I need to get in total to get at least a 90?

Answers

hi wassup yo k bye daddy

Answer:

are you asking how many points are needed to get 90% in

a class that has a total of 3400 points ?

id so that is : 3060

Step-by-step explanation:

Help fast
Luke and Owen have \$100$100dollar sign, 100 each. Their friend offered to invest their money, promising to return a sum rrr times as great as what they invested. Luke was suspicious, so he invested \$10$10dollar sign, 10 only, but Owen invested his entire \$100$100dollar sign, 100. Fortunately, the friend did indeed return a sum rrr times as great to each.
They decided to make another investment. This time, Owen invested all of the money returned to him, and Luke invested the money returned to him and the remaining \$90$90dollar sign, 90. Again, they got a sum rrr times as great as what they invested. In the end, Owen had \$337.50$337.50dollar sign, 337, point, 50 more than Luke.
Write an equation in terms of rrr that models the situation.

Answers

An equation in terms of r which models the situation described is : 100r² = 10r² + 90r - 337.50

First investment :

Luke:

Total amount had = $100

Amount invested = $10

Amount left = $100 - $10 = $90

Return = r times the amount invested = (10 × r) = 10r

Owen:

Total amount had = $100

Amount invested = $100

Return = r times the amount invested = (100 × r) = 100r

Second investment :

Luke :

Amount invested = Return on first + amount left = 10r + 90

Return is r times the amount invested :

Return on second investment = (10r + 90) × r = (10r² + 90r)

Total amount earned after both investment = 10r² + 90r

Owen :

Amount invested = Return on first = 100r

Return is r times the amount invested :

Return on second investment = (100r × r) = 100r²

Total amount earned after both investment = 100r²

Owen made 337.50 more than Luke ; This means that :

Total earned by Owen = Total earned by Luke + 337.50

100r² = 10r² + 90r + 337.50

Hence, the equation in terms of r is : 100r² = 10r² + 90r - 337.50

Learn more : https://brainly.com/question/18796573

225 students appeared at an examination. Among them, the ratio of the number of students who passed in the first and in the second division were 4.5. If 25 students passed in the third division and 29 students failed in the examination, find (i) the number of students who passed in the first and in the second division (ii) The ratio of the number of students who passed in the first second and in the third division.​

Answers

(i) the number of students who passed in the first and in the second division

         76+95=171 students

(ii) The ratio of the number of students who passed in the first second and in the third division.

RATIO  is    4:5:(25/19)       or          4:5: 1.3157894…….

225-29=196 (29students failed)

196-25=171. (Subtract 25 students from the 3rd division)

4x+5x= 171 (171 students from 1st and second division)

9x=171

         X=19

4x19=76        5x19= 95         1.31578.....x19= 25

Una persona va a solicitar un prestamo en el banco de 35,000 pesos, con una tasa de interes del 3% va a pagar en 5 años cual sera el interes que pagara la persona?

Answers

Respuesta:

5250

Explicación paso a paso:

Dado que :

Importe del préstamo, principal, p = 35000

Tasa de interés, r = 3% = 0.03

Tiempo, t = 5 años

Usando la fórmula de interés simple:

Interés = principal * tasa * tiempo

Interés = 35000 * 0.03 * 5

Intereses = 5250 pesos

determina la pendiente (0,4) (-5,0)

Answers

Answer:

Use the slope formula to find the slope  

m

.

m

=

4/5  

Step-by-step explanation:

In the diagram, ABC is an equilateral triangle, BCFG is a square and CDEF is a rectangle. The perimeter of the whole diagram is 65cm, find the length of GE​

Answers

Answer:

22 cm

Step-by-step explanation:

the perimeter = AB+BG+GF+FE+ED+DC+CA

= 65 cm

7+7+7+FE+7+DC+7=65 => FE = CD

35+ 2FE = 65

2FE = 65-35

= 30

FE = 30/2 = 15

so, GE = GF + FE

= 7+15 = 22 cm

Which expression is equivalent to (9⋅5)2/3

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\dfrac{(9 \times5) 2}{3}}[/tex]

[tex]\huge\boxed{9 \times 5 = \bf 45}[/tex]

[tex]\huge\boxed{ = \dfrac{45(2)}{3}}[/tex]

[tex]\huge\boxed{45(2) = \bf 90}[/tex]

[tex]\huge\boxed{= \dfrac{90}{3}} \\\\\huge\boxed{= \dfrac{90\div3}{3\div3}}\\\\\huge\boxed{= \dfrac{30}{1}}[/tex]

[tex]\huge\boxed{= \bf 30}[/tex]

[tex]\huge\boxed{\rm{Answer: 30}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

30

Step-by-step explanation:

[tex] \small \sf = \frac{( 9 × 5 ) 2 }{3} \\ [/tex]

Multiply 9 and 5 to get 45.

[tex] \small \sf = \frac{ 45 × 2 }{3} \\ [/tex]

Multiply 45 and 2 to get 90.

[tex] \small \sf = \frac{ 90 }{3} \\ [/tex]

Divide 90 by 3 to get 30.

= 30

I need some help with this one. Please give it a go! Thank you for your time!

Answers

Answer:

A) [tex]3x^{2} - x - 4[/tex]

B) [tex]-3x^{2} -4x -5[/tex]

Step-by-step explanation:

PLZ HELP

Which statement is an example of the reflexive property of congruence?

Answers

the answer is C, reflexive property just shows that, for example, A is congruent to A. it proved that a triangle or a line is congruent to itself :)
Answer:

In algebra, the reflexive property of equality states that a number is always equal to itself. If a is a number, then. a=a....Reflexive property in proofs.Statements Reasons3. a c = b c ac=bc ac=bc 3. Substitution property of equality2 more rows

PLEASE HELP ASAP! Worth 15 points!!

Which graph represents a function with direct variation?

Answers

3rd graph is the correct graph

Answer:

The bottom right photo

Step-by-step explanation:

A direct variation is an equation in the form y = kx, where k is the constant of variation. Since it is in this form, the equation will pass through the origin (0, 0)

Can someone help me with this math homework please!

Answers

Answer:

1. [tex]x=2[/tex]

2. Simplify by combining like terms

3. [tex]x=1[/tex]

4. [tex]k=0.5[/tex]

5. [tex]y=3[/tex]

Step-by-step explanation:

1. [tex]2.5(6x-4)=10+4(1.5+0.5x)[/tex]

Distribute within the parenthesis

[tex]15x-10=10+6+2x[/tex]

Combine like terms

[tex]15x-10=16+2x[/tex]

Isolate the variable expression by using the addition/subtraction properties of equality

[tex]13x=26[/tex]

Isolate the variable by using the division/multiplication properties of equality

[tex]x=2[/tex]

2. Like terms are always combined as soon as possible but never before the distributive property is applied.

3. You can find the solution by comparing the tables.

4. [tex]6k+10.5=3k+12[/tex]

Apply the addition/subtraction properties of equality

[tex]3k=1.5[/tex]

Apply the division/multiplication properties of inequality

[tex]k=0.5[/tex]

5. [tex]y+3=-y+9[/tex]

Addition/subtraction properties

[tex]2y=6[/tex]

Division/Multiplication properties

[tex]y=3[/tex]

Evalute f (3) if(x) = -4x+5

Answers

Answer: f(3)=-7

Step-by-step explanation:

To evaluate f(3), we want to plug in x=3 into f(x)=-4x+5.

f(3)=-4(3)+5       [multiply]

f(3)=-12+5          [add]

f(3)=-7

Now, we know that f(3)=-7.

1.Una granja tiene gallinas y vacas. En total hay 58 cabezas y 168 patas. ¿Cuántos gallinas y cuantas vacas hay?

Answers

Answer:

no  c

Step-by-step explanation:

PLEASE HELP! Use the substitution method to solve the system of equations.

A. (-30,11)

B. (5,-3)

C. (10,-5)

D. (0,1)

Answers

Hello,

[tex]\left\{\begin{array}{ccc}2x+5y&=&-5\\x+3y&=&3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\6-6y+5y&=&-5\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\y&=&11\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&-30\\y&=&11\\\end{array}\right.\\\\[/tex]

Answer A

Question 2 (5 points) ✓ Saved
Determine the value of x.
3
6
3V3
3V2

Answers

Answer:

x = 6 units

Step-by-step explanation:

For θ = 30°, Perpendicular is 3. Hypotenuse is x.

We can use trigonometry to find x.

[tex]\sin(30)=\dfrac{P}{H}[/tex]

[tex]\sin(30)=\dfrac{3}{x}\\\\x=\dfrac{3}{\sin(30)}\\\\x=6[/tex]

So, the value of x is equal to 6 units.

helpppp and explain///////////////////////////

Answers

Answer:

A

Step-by-step explanation:

The first thing we have to do here is to subtract g(x) from f(x)

We have this as;

2x + 4 -(3x-7)

= 2x + 4-3x + 7

= -x + 11

Now, we substitute the value of x for 5

We have -5+ 11 = 6

which of the following numbers has the least number of positive divisors if a=50^(100) . choose: 1)25a 2)4a 3)3a 4)26a 5)10a​

Answers

Answer:

the answer would have to be B

Step-by-step explanation:

Which inverse trig function could I use to solve this problem?

Answers

Answer:

Inverse sine

Step-by-step explanation:

Recall the three common trig ratios

Remember SohCahToa

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

Now let's look back at the question

It asks us which inverse function would we use to solve for angle Z

Looking at angle Z, we are given it's opposite side length and the hypotenuse ( longest side ).

When dealing with the opposite side length and hypotenuse we use trig function sine.

When trying to find the angle we use inverse so we would use inverse sine to find the measure of angle A

The graph below have the same shape. What is the equation of the graph?

Answers

Answer:

C

Step-by-step explanation:

The graph has been translated down 4 units and moved to the right 2 units

so correct answer is C (x-2)^2-4.

HELP ASAP 10 POINTS AND BRAINLIST HURRY AND WILL GIVE 5 STAR AND A THANKS

Answers

A= 18 units squared
A of square = 9 units squared
A of triangles = 4.5 each unites squared

In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply

Answers

Doesn’t apply because tan is TOA meaning opposite/adjacent so what happens is that your numbers 17 and 20 are divided nowhere having to do with a square root

what is f(2)=
this thing had to be atleast 20

Answers

Can you clarify because this would be 2f and I don’t think this is the answer you are looking for

Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla opuesta es de 25.2°. Calcular el ancho del río

Answers

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

[tex]tan(\theta) = \frac{CO}{CA}[/tex]

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

[tex]\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}[/tex]

Ahora, el ancho del río es:

[tex]CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m[/tex]

Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!                  

determine the period of this function​

Answers

Answer:  C) 6

Explanation:

The function is somewhat sinusoidal but not entirely. Its composed of piecewise line segments when we should have a single continuous smooth curve; however, it's still periodic since it repeats itself.

Let's start at the top at the left most corner. This point has x coordinate of x = 1.

The other endpoint of this top left flat portion is when x = 2. Then the function curve goes downhill until it reaches x = 4. From x = 4 to x = 5, we're at the flat bottom part. From x = 5 to x = 7 is when the function increases.

Once we get to x = 7, the process described earlier starts all over again. So this is when the cycle ends and the length of the period is 7-1 = 6 units. The function repeats itself every 6 units, or you can say the length of each cycle is 6 time units (eg: 6 seconds).

Suggest methods (other than Cartesian Coordinates) of describing the location of points on a plane.

Answers

Answer:

There are two alternatives: (i) Polar coordinate system (a.k.a. Circular coordinate system), (ii) Elliptic coordinate system.

Step-by-step explanation:

There are two alternative ways of describing the location of points on a plane:

(i) Polar coordinate system (a.k.a. Circular coordinate system).

(ii) Elliptic coordinate system.

Now we proceed to explain briefly the characteristic of each option:

Polar coordinate system: [tex](r, \theta)[/tex]

Where:

[tex]r[/tex] - Distance of the point with respect to origin.

[tex]\theta[/tex] - Direction of the vector between origin and point with respect to the +x semiaxis, in sexagesimal degrees.

The formulae for each component in terms of Cartesian coordinates are described below:

[tex]r = \sqrt{x^{2}+y^{2}}[/tex] (1)

[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (2)

Elliptic coordinate system: [tex](\mu, \nu)[/tex]

Where [tex]\mu[/tex] and [tex]\nu[/tex] are elliptical coordinates.

The formulae for each component in terms of Cartesian coordinates are described below:

[tex]x = a\cdot \cosh \mu \cdot \cos \nu[/tex] (3)

[tex]y = a \cdot \sinh \mu \cdot \sin \nu[/tex] (4)

Where [tex]a[/tex] is the distance between origin and any of the foci along the x axis.

parallel to y - 2x = 4 and passes through (0,5)

Answers

Answer:

y=2x+5

Step-by-step explanation:

y=2x+4 means that the slope is m1=2

A parallel line shall have the same slope so

m2=m1=2

Therefore, the equation of the new line will be

y=2x+q

where q is the y-intercept, that is 5 because the line must pass in (0,5), so

q=5

and

y=2x+5

Which of the following is a geometric sequence​

Answers

Answer:

B.

Step-by-step explanation:

A geometric sequence is where a number is multiplied or divided by same number

in option be all number ar the power of 2 so the correct answer would be B

A ream contains 500 sheets of paper. How many sheets in 2 reams?

Answers

500+ 500 is 1,000, 500 represents 1 so times that by two and you get 1,000

Help,anyone can help me do quetion,I will mark brainlest.​

Answers

Answer:

Area of a triangle=1/2×base x height

Let y represent the height

50cm²=1/2×20cm×y

50cm²=10cm×y

50cm²/10cm=10cm×y/10cm

5cm=y

therefore the height of the triangle is 5cm

Area of a trapezoid=1/2×a+b×height

let h represent the height

42cm²=(1/2×14cm+7cm)×h

42cm²=1/2×21cm×h

42cm²=21cm×h/2

42cm²×2=21cm×h(cross multiply)

84cm²=21cmh

84cm²/21cm=21cmh/21cm

4cm=h

Therefore the height is 4cm

(-9g5+ 9) + (4g5- 5)

Answers


−9​g5+9+4g5−5

−9g5+4g5+9−5

−5g5+9−5

Answer: −5g5+4



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