Determine the number of solutions for each quadratic.

1.) 4x^2-3x+4=0

2.)9x^2-12x+4=0


PLEASE HELP!!!

Answers

Answer 1

Answer:

1. no solution 2. has one solution

Step-by-step explanation:

first you must find the discriminant of each quadratic also remember

if the discriminant is positive  b^{2}-4ac> 0, then the quadratic equation has two solutions.

if the discriminant is equal  b^{2}-4ac= 0, then the quadratic equation has one solution.

if the discriminant is negative  b^{2}-4ac< 0, then the quadratic equation has no solution.

1. the discriminant is [tex]\sqrt{b^2-4ac}[/tex] and when you plug in the numbers you get -55 which is less than 0

2. the discriminant is 0 so there is one solution

Answer 2

Answer:

1. has no real roots, no solutions (unless you can have imaginary solutions)

2. touches the x axis in one point, so one solution

Step-by-step explanation:


Related Questions

How many triangles???????

Answers

Based on the diagram, there are 8 triangles in total

Triangles

A triangle is a polygon with three sides and three angles.

Types of trianglesEquilateral triangle: The three sides and angles are equal.

Isosceles triangle: It has two equal sides and two angles.

Scalene triangle: No side and angle is equal.

Therefore, there are 8 triangles in the diagram.

Learn more about triangles:

https://brainly.com/question/17335144

#SPJ1

Evaluate the function,
f (x) = 5 - 4x for f(-2)

Answers

Answer:

f(-2)=13

Step-by-step explanation:

We are given the function:

f(x)= 5-4x

and asked to evaluate f(-2). We want to find what f(x) is when x is equal to -2.

We must substitute -2 in for each x.

f(-2)= 5 - 4(-2)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, multiply 4 and -2.

⇒ 4 * -2 = -8

f(-2) = 5 - -8

Two negative signs in a row become a positive sign.

f(-2)= 5+8

Finally, add 5 and 8.

f(-2)= 13

The function f(x)= 5-4x evaluated for f(-2) is 13.

A boy weighing blank kilograms is riding a skateboard. He’s moving at 2 meters/second and has 40 joules of kinetic energy. He doubles his speed when he sees his friends ahead of him. His kinetic energy at the faster speed is blank joules.

Answers

Answer:

His kinetic energy at the faster speed is 160 J

Step-by-step explanation:

Here in this question, we are interested in calculating the kinetic energy at the faster speed.

Firstly, we need to know the mass of the boy’s body. We can do this by using the kinetic energy formula;

Mathematically;

K.E = 1/2 * m * v^2

From the question;

K.E = 40 Joules

m = ?

v = speed = 2 m/s

Now, plugging these values into the kinetic energy equation, we have;

40 = 1/2 * m * 2^2

40 = 1/2 * m * 4

40 = 4m/2

4m = 40 * 2

4m = 80

m = 80/4

m = 20 kg

Now that we know the mass of the boy’s body, we can proceed to calculate the new K.E

Let’s follow the third statement in the question;

We were told that he doubles his speed upon sighting his friend.

Recall, he was traveling at a speed of 2 m/s.

Now doubling this means the new speed will

be 2 * 2 = 4 m/s

Now, we want to calculate the kinetic energy value at this new speed.

Mathematically, we use the same formula for kinetic energy.

K.E = 1/2 * m * v^2

We know that m is the mass that we calculated as 20kg and our v here is 4 m/s

Plugging these values, we have;

K.E = 1/2 * 20 * 4^2

K.E = (20 * 16)/2

K.E = 320/2

K.E = 160 J

Answer:

A boy weighing 20 kilograms is riding a skateboard. He’s moving at 2 meters/second and has 40 joules of kinetic energy. He doubles his speed when he sees his friends ahead of him. His kinetic energy at the faster speed is 160 joules.

help me with math pls;(

Answers

Answer:

as it is cbe the volume of cube is l*l*l

Step-by-step explanation:

the answercis 5*5*5= 125

Answer: 125 cm^3

please mark brainliest

Find the following ratios. PLEASE HELP QUICK!!

Answers

Answer:

sin(A) = 5/13 ≈ 0.38

cos(B) = 5/13 ≈ 0.38

tan(A) = 5/12 ≈ 0.42

Step-by-step explanation:

If you need more explanations just say it :)

Answer:

I hope your dreams come true! Beileve in your self! and do ur best <3

Find an equation of the line through the given points right the final answer in intercept form

Answers

Answer:

got it

Step-by-step explanation:

subtact (7x+2) from (-6x+8)​

Answers

(-6x+8)-(7x+2)

4 -6x + 8 -7x - 2

= -13x + 6

Answer:

Step-by-step explanation:

(-6x + 8) - (7x + 2) = -6x + 8 - 7x - 2   {Distribute property}

                            = (-6x - 7x) +( 8 - 2)  {Combine like terms}

                           = -13x + 6

can someone help on this question

Answers

Answer:

a) 3 x 20 = 60

b) -2x20 = -40

question c and d are unclear as we do not know how many questions were wrong and how many were not answered.

Sorry but I hope that helped

Answer:

a)  60 points

b)  0 point

c)  22 points

d)  -11 points

Step-by-step explanation:

a)  20 * 3 = 60 points (all answered correct)

b)   0 point (Minimum score if you don't answer any of the questions)

c)  10 * 3 = 30 points

    (14 - 10)  * -2 = -8 points

    right minus wrong =  30 - 8 = 22 points  

d)  5 * 3 = 15 points

    (18 - 5) * -2 = -26 points

    right minus wrong = 15 - 26 = -11 points

Two shaded identical rectangular decorative tiles are first placed (one each) at the top and at the base of a door frame for a hobbit's house, as shown in Figure 1. The distance from W to H is 45 inches. Then the same two tiles are rearranged at the top and at the base of the door frame, as shown in Figure 2. The distance from Y to Z is 37 inches. What is the height of the door frame, in inches?

Answers

Answer:

41 inches

Step-by-step explanation:

Let the point at the top of the door on the left be x

Wx + xH = 45

Let the point at the top of the door  on the right be c

Yc + cZ = 37

We know the door is

xH +  plus the width of the tile

The width of the tile is Yc

xH + Yc

On the right door

cZ +  the height of the tile

cZ + Wx

Add the two doors together

xH + Yc + cZ + Wx = 2 times the height of the door

Rewriting

xH +  Wx +  Yc + cZ = 2 times the height of the door

45+ 37 = 2 times the door height

82 = 2 times the door height

Divide by 2

41 = door height

These prisms are similar. Find the surface
area of the larger prism. Round to the
nearest tenth.
5 in.
Surface Area = 572 m2 Surface Area = [ ? ] m2
6 in.

Answers

Answer:

823.7 m^2

Step-by-step explanation:

The ratio of the side lengths is 6/5.

The ratio of the areas is the square of the ratio of the side lengths, 36/25.

572 m^2 * 36/25 = 823.7 m^2

HELPPPP MEE IM BEING TIMED

Answers

Answer:

4th option

Step-by-step explanation:

The range is the values of y covered by the graph

The lowest value is a solid dot at y = 2, indicating that y can equal 2.

The graph then increases upwards to infinity.

The range is all real numbers greater than or equal to 2

Answer:

all real numbers greater than or equal to 2

Step-by-step explanation:

The range is all the y-values or outputs. That means that the answer is greater than or equal to 2.

What is the exponential form of log9 5 = y

Answers

Answer:

y = 0.732

Step-by-step explanation:

log3²(5) = y

(1/2) × log3(5) = y

y = (1/2) × log3(5)

y = 0.732487

y = 0.732 ( 3 sig.fig )

PLEASE help me solve this question! No nonsense answers, and attach full solutions please!

Answers

Answer:

6.4 seconds

Step-by-step explanation:

Using the second equation of motion.

d= 200m/s.

a= 9.8ms^-1 . Acceleration due to gravity.

t= time.

substituting,

t=

[tex] \sqrt{2 \times \frac{200}{9.8} } [/tex]

t= 6.4 seconds

please help! i can’t write the equation on here so look at the picture.

Answers

Answer:

So if x= 1 , y= -20 , z = -5 , we just have to replace those values on the equation

[tex]\frac{\sqrt{yz}}{(z-x)^{2} + y } =[/tex]  [tex]\frac{\sqrt{(-20) * (-5)}}{(-5-1)^{2} + (-20) } =[/tex]  [tex]\frac{\sqrt{100}}{(-6)^{2} -20 }[/tex]  [tex]= \frac{10}{16} =\frac{5}{8}[/tex]

Answer:

√100 / {-5-1}^² +(-20)10/(-6)^² -2010/36-2010/165/8

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

x = 6

Step-by-step explanation:

The isosceles triangle is divided into two forming two right triangles

in right triangles the square value of hypotenuse is equal to sum of other two side lengths

x^2 + 4^2 = 52

x^2 + 16 = 52 subtract 16 from both sides

x^2 = 36 find the root for both sides

x = 6

Anne can make 6 headbands from 3/5 meters of cloth. Which expression shows the amount of cloth needed to make 1 headband? What is the solution to the expression? The expression that shows the amount of cloth needed to make 1 headband is . The solution to the expression is meters.

Answers

Answer:

Needed to make one band = 3/5 / 6 meters.

The solution is 1/10 meters.

Step-by-step explanation:

The expression is 3/5 / 6

= 3/5 * 1/6

= 3/30

= 1/10

Answer:

6 x (3/5)

1/10

Step-by-step explanation:

Derek can paddle his kayak 6 miles per hour in still water. It takes him as long to paddle 10.5 miles upstream as it takes him to travel 31.5 miles downstream. Determine the speed of the river's current.

Answers

Answer:

3 mph

Step-by-step explanation:

Let the speed of the river's current be x

Upstream (against the river's current)

Resultant velocity = 6 - x

Distance covered = (6-x)t

10.5 = (6-x)t

t = 10.5/(6-x)

Downstream (with the river's current)

Resultant velocity = 6+x

Distance covered = (6+x)t

t = 31.5/(6+x)

Therefore.......

10.5/(6-x) = 31.5/(6+x)

10.5(6+x) = 31.5(6-x)

63 + 10.5x = 189 - 31.5x

Collect like terms

42x = 126

x = 3 miles per hour

HOPE IT HELPS!

PRETTY PLEASE MARK ME BRAINLIEST :-)

PLEASE HELP ASAP!!
The image above shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?

Answers

Answer:

[tex] IJ = 2(KL) [/tex]

Step-by-step explanation:

From the information given, the smaller figure was dilated on a scale factor of 2, to produce the bigger figure. In essence, the bigger figure is times 2 of the smaller figure.

Therefore, line IJ would be twice the length of KL.

The relationship that both lines have can be represented as: [tex] IJ = 2(KL) [/tex]

!!!HELP MEEEE!!! ILL GIVE U BRAINLIEST

Question; a = 2, b = -4, c = 7, and d = -3

Evaluate c + d[(ac + b)/(d-a)] + c

Answers

Answer:

7+(-3)[(14-4)/(-5)]+7

7+3[2]+7

7+6+7

20

perform the indicated operations. express the answer as a polynomial written in standard form.
(2x+5y)^2​

Answers

Answer:

Step-by-step explanation:

4x + 7 + 4

I need helppp pls

Answers

Answer:

4x+11

Step-by-step explanation:

you have to add the like terms,in this case the like terms are 7 and 4.4x isn't a like term cause it has a variable.

so you just have to add 7+4

4x+11

I hope this helps

Step-by-step explanation:

hope this may help you tq

What is the rate of change and initial value for the linear relation that includes the points shown in the table?
ху
1 | 20
3 | 10
5 | 0
7 | -10
A. Initial value: 20, rate of change: 10
B. Initial value: 30, rate of change: 10
C. Initial value: 25, rate of change: -5
D. Initial value: 20, rate of change: -10

Answers

Answer:

C, at 0/25, 1/20, 2/15, 3/10,...

Answer:

C

Step-by-step explanation:

What is the value of "c" in the quadratic equation 3x^2 + 5x + 7 = 0?

Answers

Answer:

c = 7

Step-by-step explanation:

ax^2 + bx + c = 0

3x^2 + 5x + 7 = 0

c = 7

in this equation the answer would be 7!! hope this helps :)

A prisoner is trapped in a cell containing 3 doors. The first door leads to a tunnelthat returns him to his cell after 2 days’ travel. The second leads to a tunnel thatreturns him to his cell after 4 day’s travel. The third door leads to freedom after 1day of travel. If it is assumed that the prisoner will always select doors 1,2,and 3with respective probabilities 0.5,0.3, and 0.2, what is the expected number of daysuntil the prisoner reaches freedom?

Answers

Answer:

2 days

Step-by-step explanation:

Expected number of days until prisoner reaches freedom=E(x)=?

E(x)=x*p(x)

Where x is the number of days and p(x) is the probability associated with them.

X    1    2    3

P(x) 0.5 0.3 0.2

E(x)=1*0.5+2*0.3+3*0.2

E(x)=0.5+0.6+0.6

E(x)=1.7.

Thus, the expected number of days until prisoner reaches freedom are 2 days.

Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

The first statement is incorrect

Step-by-step explanation:

1 1/5 is positive so it is greater than the negative numbers

-2 2/5 is more negative than -1 3/5 so it is to the left on the number line

-2 2/5 < -1 3/5 < 1 1/5

11/5  < -2 1/5 is not correct  because 1 is bigger than -2

Answer:

1 1/5 < -2 2/5 because 1 1/5 is located to the right of -2 2/5 on the number line.

Step-by-step explanation:

Next time, don’t title your question like that.

This statement is not true because 1 1/5 > -2 2/5 because 1 1/5 is positive.

(08.02 MC)
A pair of equations is shown below
y = 2x - 1
y = 4x - 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the
equations.
Part B: What is the solution to the pair of equations?

Answers

Step-by-step explanation:

526 133 3821

P: 12345

j _o _I _n g _I _r l

o. n z-oo-o-m

Each child in a certain class is required to have school supplies of 1 notebook and 2 pencils. One notebook costs $1.09 and one pencil costs $0.59. With $15, what is the maximum number of children that can be provided with the required supplies? (Assume no tax.) Will mark Brainlist

Answers

Answer:

6 children

Step-by-step explanation:

Given

[tex]1\ Pencil = \$0.59[/tex]

[tex]1\ Notebook = \$1.09[/tex]

Required

Determine the number of students that can get pencils and notes worth $15

First, we need to calculate the amount that can be allotted to a child

[tex]1\ child= 1\ Notebook + 2\ Pencils[/tex]

[tex]1\ child= 1 * \$1.09 + 2 * \$0.59[/tex]

[tex]1\ child= \$1.09 + \$1.18[/tex]

[tex]1\ child= \$2.27[/tex]

From the given parameters, we have that

[tex]n\ children= \$15[/tex]

Where n is the number of child

Represent both as ratios;

[tex]1 : 2.27 = n : 15[/tex]

Convert to division

[tex]\frac{1}{2.27} = \frac{n}{15}[/tex]

Multiply both sides by 15

[tex]15 * \frac{1}{2.27} = \frac{n}{15} * 15[/tex]

[tex]\frac{15}{2.27} = n[/tex]

[tex]6.608 = n[/tex]

[tex]n = 6.608[/tex]

Because "a child" is discrete, we have to round down the above figure to

[tex]n = 6[/tex]

Hence, the maximum number of children that can be provided with supplies worth $15 is 6

A movie theater conducted a survey to see what customers preferred at the concession stand. The theater asked every fifth person who entered the movie theater every Friday for a month what his or her favorite movie snack was. Were the results of the survey valid? A. No, because the theater did not survey everyone in the theater. B. Yes, because the theater only surveyed children. C. Yes, because the theater surveyed a random sample. D. No, because the theater did not use a random sample.

Answers

Answer:

A) No because the theater did not survey everyone in the theater.

Answer:

Yes, because the theater surveyed a random sample.

Step-by-step explanation:

The survey is valid because there was a random sample. They surveyed every fifth person, so there was a variety of age groups, genders, and preferences included in the sample. Therefore, the correct answer is yes, because the theater surveyed a random sample.

5 - (4 - 3x) = 10
how would u distubute in this problem

Answers

Answer:

x = 3

Step-by-step explanation:

Given

5 - (4 - 3x) = 10 ← distribute the terms in the parenthesis by - 1

5 - 4 + 3x = 10, that is

1 + 3x = 10 ( subtract 1 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

- 4 = -17 + x
- 4 = - 17 + x

Answers

Answer:

x = 13

Step-by-step explanation:

- 4 = -17 + x

Add 17 to each side

- 4+17 = -17+17 + x

13 =x

Answer:

-4+17=x

13=x

you substitute and then solve for the answer

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