step by step plz
2x^2 + x - 3

Answers

Answer 1

Answer:

x = 1 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + x - 3 = 0

The left hand side factors into a product with two terms:

(x - 1) (2 x + 3) = 0

Split into two equations:

x - 1 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 1 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 1 or 2 x = -3

Divide both sides by 2:

Answer: x = 1 or x = -3/2


Related Questions

PLZ HELP ME ASAP W THIS !!!

Answers

Answer:

(2x+3) x (x-7)

Step-by-step explanation:

Michelle is on a road trip with her family and forgot her charger. At the start of the trip, her phone was at 100%. They are driving from Dallas to San Antonio which is a 4.5-hour drive. Her phone's battery life can be represented by y = -10x +100, where x is hours driving. What is the range of this situation?

Answers

Answer:

55 ≤ x ≤100

Step-by-step explanation:

Given the battery life equation:  y = -10x +100 where x is hours driving

As we know that the maximum value of y = 100% when x= 0

<=> y ≤100

They are driving from Dallas to San Antonio which is a 4.5-hour drive.

=> x = 4.5 so we substitute x into the equation, we have:

y = -10*4.5 +100

<=> y = -45 + 100 = 55

Hence, the range of this situation is:

55 ≤ x ≤100

Hope it will find you well.

What is the vertex of the quadratic function f(x) = (x-8)(x - 2)?

Answers

Answer:

The vertex is at (5, -9)

Step-by-step explanation:

The vertex is halfway between the zeros

f(x) = (x-8)(x - 2)

0  = (x-8)(x - 2)

x=8 and x=2 are the two zeros

(8+2)/2 = 10/2 = 5

The x coordinate is at 5

The y coordinate is found by substituting the x coordinate into the function

f(5) = (5-8)(5 - 2) = -3 (3) = -9

The vertex is at (5, -9)

A tree is 17 feet tall. The wire runs from the top of the tree to 8.7 feet from its base. The wire is Square root 338 feet long. Estimate the length of the wire to the nearest hundredth of a foot.

Answers

Answer: 18.38 feet

Step-by-step explanation:

Hi, to answer this question we simply have to solve the expression √338, which is the length of the wire.

Mathematically speaking:

√338 = 18.3847 feet  

Since the number after the hundredths place is less than 5:

Length of the wire: 18.34 feet (rounded to the nearest hundredth)

Feel free to ask for more if needed or if you did not understand something.

joe bbq sells bbq by the pound michelle buys 8.75 worth of sides and then she get six pounds of bbq if her total was is 40. 55 how much was each pound of bbq

Answers

First, we need to set up an equation.

6x + 8.75 = 40.55

Then, we use the equation to solve for how much a pound of BBQ costs.

To move 8.75 to the other side, we have to subtract 8.75 from both sides of the equation.

6x = 40.55 - 8.75

6x = 31.8

Next, we divide both sides by 6 to get the value of x.

6x/6 = x

31.8/6 = 5.3

Lastly, add the correct unit.

$5.3.

Therefore, the price per pound of BBQ is $5.30

reciprocal of -2/3^6

Answers

Answer:

The answer is -729/2

Step-by-step explanation:

7 identical toys weigh 1.4 kg.
a) Convert 1.4 kg to grams.
b) What is the weight of one toy?
Give your answer in grams.
c) How much would 3 toys weigh?
Give your answer in grams.

Answers

Answer:

a] 1400 grams

b] 200 grams

c]600 grams

Step-by-step explanation:

1.4  x 1000=1400 grams

1.4 divide by 7 is 0.2 kg

0.2 x 3 = 0.6 x 1000=600 grams

It took Jenny and her family 1 hour to drive to her grandmother’s house. Her grandmother lives about 45 miles away. At what rate did the family travel?
pls help me

Answers

Answer:

i think that the answer would be like 1,0000000 if no idk what to tell you

Step-by-step explanation:

use the formula

speed = distance ÷ time

time change in mins

1 hours = 60 mins

speed = 45 ÷ 60

speed = 0.75

The spinner to the right is spun 20 times. It lands on red 6 times, yellow 2 times, green 8 times, and blue 4 times.

Based on the data, what is the experimental probability of landing on yellow?

You may give your answer as a simplified fraction, decimal, or percent.


Answers

Answer:

1/10 or 0.10 or 10%

Step-by-step explanation:

Based on the data given, the spinner landed on yellow 2 times out of the 20 times it was spun. Therefore, the experimental probability of landing on yellow, based on the data, is 2/20. If you simplify this, it is 1/10, which is 0.10 as a decimal and 10% as a percent.

Hope this helps! :)

Find the equation of a line perpendicular to y - 3x = – 8 that passes through the point (3, 2). (answer in slope-intercept form)

Answers

Answer:

y= -1/3x+3

Step-by-step explanation:

Old homework answers.

Skyler goes to a school which has 100 students in it. She asks 40 random students whether they like the new 8.30 am start to the day. 30 of them say no they don't like it. Use this information to estimate how many students in the whole school dislike the 8.30 am start.

Answers

Answer: 75 students

Step-by-step explanation:

Skyler goes to a school that has 100 students in it. She asks 40 random students if they like the new 8.30 am start to the day and 30 of them say no they don't like it. This shows that: 30/40 = 3/4 of the students don't like it.

Since the school has 100 students, the number of students that doesn't like the 8.30 a.m start will be:

= 3/4 of 100

= 3/4 × 100

= 3 × 25

= 75

Partit: Write an equation to represent the amount of money Shelly has in her account each week. Let

w represent the number of weeks Shelly deposits money into her savings account and m represent the

amount of money in her account,

1:A. Define the variables. (2 points: 1 point each)

Let w:?

Let m:?

2:B. Write an equation to represent the amount of money Shelly has in her account each week. Hint

Remember that Shelly started with $220 in the a

Answers

Answer:

Step-by-step explanation:

1) Let w represent the number of weeks and m represent the amount of money that she has in her account after w weeks. Assuming m is increasing at a linear rate. This means that it is increasing in arithmetic progression. The formula for determining the nth term of an arithmetic progression is expressed as

Tn = a + (n - 1)d

Where

d represents common difference in the amount between 2 consecutive weeks.

a = 220 represents the first term of the sequence.

Tn = w = the amount at the end of n weeks

n = m represents the number of weeks

2) The equation used to represent the amount of money Shelly has in her account each week is

w = 220 + (w - 1)d

What system of inequalities is represented by the graph?

Answers

Answer:

y is greater than or equal to 0.5/2.5x-1/2

y is greater than -2x

Step-by-step explanation:

OVER HERE . What is 500 + 1500 - 1000 ?

Answers

BODMAS

500+1500= 2000
2000-1000=1000

Answer:

1000

Step-by-step explanation:

Compute probability of randomly selected 5 cards from deck of 52 cards and getting only one Jack.

Answers

Answer:

5/25

Step-by-step explanation:

Probability would be that you randomly select 5 cards so the selection goes above the fraction and the total amout of cards goes below.

Answer:

3243 / 10829 ≈ 0.2995

Step-by-step explanation:

There are 52 cards in a deck.  5 cards are selected, so the number of possible combinations is ₅₂C₅.

Of the 5 cards selected, 1 is a Jack and 4 are non-Jacks.

There are 4 Jacks in a deck.  The number of ways of choosing 1 Jack from 4 is ₄C₁.

There are 48 non-Jacks in a deck.  The number of ways of choosing 4 non-Jacks from 48 is ₄₈C₄.

So the probability is:

P = ₄C₁ ₄₈C₄ / ₅₂C₅

P = 4 × 194580 / 2598960

P = 778320 / 2598960

P = 3243 / 10829

P ≈ 0.2995

Calculate the perpendicular
height of the triangle
pls helppp!!​

Answers

Step-by-step explanation:

there's the solution ...i hope you can read

-13/20-7/5= enter the answer as an exact decimal or simplified fraction

Answers

Step-by-step explanation:

-13/20 = - 0.65

7/5 = 1.4

So

-0.65 - 1.4

= - 2.05

Evaluate g(f(-2)) for f(x)=3x-4 and g(x)=-2x+7

Answers

Step-by-step explanation:

work is pictured and shown

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

As the picture I uploaded, the area is divided into 1 triangle and 2 rectangles.

Add up the area of these figures, we have the total area:

A = area of triangle + area of 2 rectangles.

  = 11 x (3 + 5 + 13 -10)/2 + 4 x 5 + 12 x 13

  = 236.5 (mm2)

Hope this helps!

:)

Answer:

236.5 mm^2.

Step-by-step explanation:

We can split this up into 2 rectangles:

1 rectangle =  8 * 13 = 104mm^2

2nd rectangle = 4 * (13 + 5) = 4 *18 = 72 mm^2

The base of the triangle = 11mm ,

and the height = (3 + 5 + 13) - 10 = 21 - 10 = 11mm.

So it area = 1/2 * 11 * 11

= 60.5 mm^2.

total area = 104 + 72 + 60.5

= 236.5 mm^2.

There is a sale on produce at the local supermarket. Strawberries are ½ price if you buy more than 45 ounces. The scale only measures in pounds. How many pounds would you have to buy to receive the discount

Answers

Answer:

3 pounds

Step-by-step explanation:

a pound is 16oz so 3x16=48

A tennis ball is thrown from the top of a building. The distance h, in feet, between the tennis ball and the ground, t seconds after it is thrown is given by h(t)=(-16t^2) +160t + 384. At what time is the tennis ball at the maximum height?

Answers

Answer:

The tennis ball reaches the maximum after 5seconds

Step-by-step explanation:

If the distance h, in feet, between the tennis ball and the ground, t seconds after it is thrown is given by h(t)=(-16t^2) +160t + 384, at maximum height the velocity of the tennis ball will be zero.

Velocity is the rate of change of displacement of a body. If the distance is modeled by the equation h(t)=(-16t^2) +160t + 384 then its velocity will be gotten by taking the derivative with respect to time as shown;

V = dh/dt = -32t+160

at maximum height;

0 = -32t+160

32t = 160

t = 160/32

t = 5seconds

This means that the tennis ball reaches the maximum after 5seconds.

A man bought a mobile phone for $800 and sold it for $1000. What was his profit as a percentage of the cost price ​

Answers

Answer:

1000/800 = 125% profit

Answer:

25%

Step-by-step explanation:

Profit = Selling price - Cost price

= 1000 - 800

= $200

%Profit = Profit

_____. × 100. ( profit over cost price times 100)

Cost Price

= 200

____. × 100%

800

= 25%

Which chart could represent the function f(x)=-2x+6

Answers

Answer:

I think that answer is (4).

Explanation:

Since the slope is negative, as x increases, the function decreases. It also has a y-intercept at 6 so that would eliminate option 2 and 3. Option 1 would not work because the function is increasing.

I hope I helped you! Please mark me brainliest if I am correct. Thanks!

Answer:

option 4

Step-by-step explanation:

Because the slope is negative, as x increases, the function decreases. It also has a y intercept at 6 so that would cancel option 2 and 3. Option 1 would not work because the function is increasing.

What the volume for each problem.Need help asap.

Answers

Answer:

See Below

Step-by-step explanation:

Pyramid of Gyza:

Base: 227m * 227m

Height: 150m

V=(LWH)/3

V=(227*227*150)/3

V= 7,729,350/3

V=2, 576,450 m^3

Temple of Kukulkan

Base: 55.7*55.7

Height: 29

V=(LWH)/3

V=(55.7*55.7*29)/3

V=89,972.21/3

V= 29,990.736 m^3

What are complementary angles

Answers

complementary angles are two angles whose sum is 90 degrees

Answer:

Complementary angles are two angles that add up to 90° in total measurement.

Example:

Angle 1 is 34°. It's complement would be 56°.

[tex]90 -34=56[/tex]

Brainilest Appreciated.

La trayectoria de un cuerpo en movimiento rectilíneo está determinada por: s = 115t + 12t^3 en metros y segundos. Determina la aceleración del cuerpo a los 12 segundos de origen.

Answers

Answer:

a = 864 m/s^2

Step-by-step explanation:

You have the following equation for the motion of a body:

[tex]s(t)=115t+12t^3[/tex]

The acceleration of the body is given by the second derivative of s(t):

[tex]\frac{ds}{st}=115+12(3)t^2=115+36t^2\\\\\frac{d^2s}{dt^2}=\frac{d}{dt}\frac{ds}{dt}=36(2)t=72t\\\\a(t)=72t[/tex]

After t = 12 s you obtain for the acceleration:

[tex]a(t=12)=72(12)=864\frac{m}{s^2}[/tex]

hence, the acceleration is 864m/s^2 for t=12s

The mean Algebra 2 test score is 81.5, with a standard deviation of 5.1. There are 130 students taking the course. Assuming a normally distributed curve, how many students scored below 76.4?

Answers

Answer:

Step-by-step explanation:

Let x be the random variable representing the algebra test scores of the students. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 81.5

σ = 5.1

the probability that a student scores below 76.4 is expressed as

P(x ≤ 76.4)

For x = 76.4

z = (76.4 - 81.5)/5.1 = - 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.159

Therefore, the number of students that scored below 76.4 is

0.159 × 130 = 21 students

Suppose the scores on a test given to all juniors in a school district are normally distributed with a mean of 74 and a standard deviation of 8. On a separate sheet of paper, draw a Normal Curve and label the mean, standard deviations, and the associated percentages. Find the percent of juniors who score no more than 90.

PLEASE HELP AHHHH

Answers

Answer:

97.5%

Step-by-step explanation:

Solution:-

- Denote a random variable,

           X: Scores of all juniors in a school district centralized test.

- The random variable ( X ) follows normal distribution with the corresponding parameters:

                         X ~ Norm ( μ , σ^2 )

Where,     μ = Mean score

                σ = standard deviation of scores secured

- The given parameters for the normal distribution are:

                        X ~ Norm ( 74 , 8^2 )

- To draw a Normal curve we need to draw a bell shaped curve and annotate the following descriptions:

      Mean ( μ ) : The vertical center-line that bifurcates the normal curve

      1st standard deviation ( μ ± σ ) : First small division to the left and right about the mean ( μ ). [ 74 - 8 , 74 + 8 ] = [ 66 , 82 ]

      2nd standard deviation ( μ ± 2σ ) : Second small division to the left and right about the mean ( μ ). [ 74 - 16 , 74 + 16 ] = [ 58 , 90 ]

      3rd standard deviation ( μ ± 3σ ) : Third small division to the left and right about the mean ( μ ) - tailed. [ 74 - 24 , 74 + 24 ] = [ 50 , 98 ]

- Mark the associated percentage of scores that lies between 1st, 2nd and 3rd standard deviations from the mean ( μ ). Apply the Empirical rule of statistics. Which states:

    p (  μ - σ  ,  μ + σ ) = p ( 66 , 82 ) = 67 %

    p (  μ - 2σ  ,  μ + 2σ ) = p ( 58 , 90 ) = 95 %

    p (  μ - 3σ  ,  μ + 3σ ) = p ( 50 , 98 ) = 99.7 %

- See the attachment for the complete diagram.

- To determine the percentage of students who scored no more than 90 on the test.

- Employ the use of standardizing the required probability by using the following relation:

          p ( X < x ) = p ( Z < [ (x - μ) / σ ] )

          p ( X < 90 ) = p ( Z < [ (90 - 74) / 8 ] )

                             = p ( Z < [ (90 - 74) / 8 ] )

                             = p ( Z < 2 )

- We will employ the use of Empirical rule of second deviation ( μ ± 2σ ) to evaluate the required percentage:

       p (  μ - 2σ  < X <  μ + 2σ ) = p ( 58 , 90 ) = 95 %

       1 - p ( 58 < X < 90 ) = 1 - 0.95 = 0.05

       p ( X > μ + 2σ ) = p ( X > 90 ) = [ 1 - p ( 58 < X < 90 ) ] / 2

                                                      = [ 1 - 0.95 ] / 2

                                                      = 0.05 / 2

                                                      = 0.025

Hence,

     p ( X < 90 ) = p ( Z < 2 ) = 1 - p ( X > 90 )

                                            = 1 - 0.025

     Answer                          = 0.975 ( 97.5 )%        

PLZ PLZ HELP! What is m XY?

Answers

È il lato del quadrato
Same 99 degrees both side should be the same

Shawna rented a bike from Arjun's Bikes. It cost $14 plus $3 per hour. If Shawna paid $32 then she rented the bike for how many hours?

Answers

Answers

1.9 hours

Step-by-step explanation:

14 plus 3 = 17

32 divide by 17 = 1.9 hours

1 hour 0.9 multiply by 60

1.9= 1 hour 54 minutes

Other Questions
Why did they call the time between 1920-1941 the age of isolationism for the us Hyperglycemia in individuals with diabetic neuropathy leads to the inhibition of pyruvate dehydrogenase complex in the dorsal root ganglion. Which additional process will be inhibited in the dorsal root ganglion under conditions that cause diabetic neuropathy? A) the glyoxylate cycle B) lactic acid fermentation C) the citric acid cycle D) glycolysis joinThe Zimmermann Telegram outraged Americans by proposing thatGermany in a war against the United States.O A. PanamaB. CubaC. Puerto RicoD. Mexico Vaughn Manufacturing reported net income of $471000 for the year ended 12/31/21. Included in the computation of net income were: depreciation expense, $59600; amortization of a patent, $32200; income from an investment in common stock of Ivanhoe Company, accounted for under the equity method, $48500; and amortization of a bond discount, $12700. Vaughn also paid an $79000 dividend during the year. The net cash provided by operating activities would be reported at _________. SOLVE EACH Equation by completing the square1) p2 + 8p - 33 - 0 Which word is the best synonym for stress How do flies walk on the ceiling? ... Help !!!Climate change brainliest !!!!!!!!!!! HELLP PLEASE!!!!!!?!?!?!???! Find the missing length of the triangle. I need help please and thank you Computer security experts devote their time and energy to the protection of sensitive data and the prevention of an outside attack on the internal network. They specialize in building secure firewalls as well as complex intrusion detection systems designed to keep intruders out. They watch and monitor the incoming message traffic very closely. But no matter how well they protect the private network from outside access without proper authority, they do not help prevent an attack by a malicious or disgruntled employee from the inside. And they cannot prevent breaches due to a simple lack of understanding of security policy by internal employees.When do YOU think an organization needs information systems security policies? Why? It takes a painter and his friend 8 hours to paint a room. If the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself? Please explain to get brainliest Timmy uses 1 1/2 cups of sugar for every 2 gallons of lemonade he makes. How many cups of sugar would Timmy use if he makes 13 gallons of lemonade?cups of sugar Plz helpWhat is the area of the triangle? A triangle has a base of 4 inches and height of 5.5 inches.5 in.210 in.211 in.222 in.2 Directions: Consider a pedigree that is tracking an autosomal recessive trait, where two recessive alleles (tt) result in the inability to taste a chemical known as PTC. The ability to taste PTC is determined by the presence of a dominant allele (T). Complete the missing boxes in the chart. The first row has been done for you as an example!*Note: The ability to taste PTC may be more complex than a simple gene trait. Square root of 250/10.I dont know how to properly ask the question so I provided a picture: At t= 0, a particle moving in the xy plane with constant acceleration has a velocity of Vi= (3.00i -2.00j) m/s and is at the origin. At t= 3.00 s, the particle's velocity is V = (9.00i + 7.00j) m/s . Find (a) the acceleration of the particle and (b) its coordinates at any time t. Calculate the amount of heat gained when one 250 gram bottle is heated from 25oC to 30oC. The specific heat of water is 4.18 J/goC What is implied by the fact that in todays marketplace, the volume of world trade has been growing faster than world GDP? more companies are relying on domestic firms to obtain parts of their production process the economies of the worlds nation-states are becoming less intertwined more companies are dispersing parts of their production process to locations around the globe the world has experienced a loss of overall wealth in the last two decades more countries are imposing trade barriers to minimize competition