What are the solutions to the quadratic equation 2x2 + 10x - 48 = 0?
O A. x= -8 and x = 3
O B. x = -4 and x = 6
O C. x= -6 and x = 8
O D. x= -8 and x = 2
EUR

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

The solutions to the given quadratic equation are x=-8 and x=3. Therefore, option A is the correct answer.

What is the solution of a quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is 2x²+10x-48=0.

Here, x²+5x-24=0

x²+8x-3x-24=0

x(x+8)-3(x+8)=0

(x+8)(x-3)=0

(x+8)=0 and (x-3)=0

x=-8 and x=3

Therefore, option A is the correct answer.

To learn more about the solution of quadratic equation visit:

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Related Questions

Pleaseee help meeee

Answers

Answer: A.

Step-by-step explanation:

This is the only option in which the terms are ordered from least to greatest.

Therefore, A is the correct answer.

a donut shop every Friday makes a total of 420 donuts on Tuesday morning to sell. Of the 420, 105 of them are plain and the rest are chocolate. If the donut shop plans to sell a total 820 donuts on Saturday morning, how many of them will be chocolate? ​

Answers

About eight 420 will be chocolate did you know that but he is your answer thank you

if it's 11:24 what time will it be in 49 minutes

Answers

Hi,

if it's 11:24, it wil be 12:13

✅(◠‿◕)

Find the midpoint of PQ¯¯¯¯¯¯¯¯ with endpoints P(0, 2) and Q(6,−2). Then write an equation of the line that passes through the midpoint and is perpendicular to PQ¯¯¯¯¯¯¯¯ . This line is called the perpendicular bisector.

Answers

Answer:

The midpoint of PQ is (3,0) and the equation if the line perpendicular to PQ is y=3/2(x-3).

Step-by-step explanation:

To find the midpoint, find the average of the x and y values. (0+6)/2=3 and (-2+2)/2=0

In order to make a perpendicular line, we must find the slope first of the original line.

(y2-y1)/(x2-x1) is the formula for slope

(-2-2)/(6-0)= -4/6=-2/3

Now we know the slope which is all we need to start making the equation using the point slope form which is y-y1=m(x-x1) (let m be slope) and we use the midpoint (3,0) as our point. since it is perpendicular, we will take the slope and flip it as well as change the sign

y-0=3/2(x-3) or y=3/2(x-3)

if you'd like, you can distribute and put it in slope intercept form

y=3/2x+9/2

what is 38942390785289037x348092387490287

Answers

38942390785289037x34809238749028

The box of cereal used to contain 16 ounces of cereal. The box now holds 12 ounces of cereal what is the percent decrease?

Answers

25% decrease
Hope this helps!

On New Year’s Day 2021, your uncle put $3 dollars in his safe for you that he says will grow exponentially until you decide to take it out. If you take the money out on New Year’s Day 2023, the money will have grown to $18.75. You decide that you will ask for the money on New Year’s Day 2031. How much money will you receive then?

Answers

if 18.75 - 3 = 15.75

if every 2 years you get 15.75

if from 2023 to 2031 is 8 years

then 8 divided by 2 = 4

so 15.75 * 4 = 63

then the answer is 63

I REALLY NEED YOUR HELP DUE AT THE END OF CLASS.

Answers

Answer:

Type 2

Step-by-step explanation:

Equation of the line is:

y=2

slope is 0

A solution to the linear equation 6x+2y=-32 is. ( _ ,8)

Answers

Answer:  -8

The ordered pair solution is ( -8, 8 )

=====================================================

To get that answer, we plug in y = 8 and solve for x.

6x+2y = -32

6x+2(8) = -32

6x+16 = -32

6x = -32-16

6x = -48

x = -48/6

x = -8

So that's how we end up with ( -8, 8 ). This point is on the line 6x+2y = -32.

please help! here’s the question thank you !

Answers

Answer: They just needed to do process of eliminaion. :I

Step-by-step explanation:

Determine whether the ratios form a proportion.
16/9, 28/15

Answers

Answer:

No

Step-by-step explanation:

One way of doing this problem is to reduce the given fractions as much as possible.  Unfortunately, neither ratio reduces.  So the fraction 16/9 is NOT equal to the fraction 28/15 and our conclusion must therefore be "the rations do not form a proportion."

Answer:

hope it helps 12 : 9 = 28 : 15

is FALSE

Use the Associative Property to write and expression equivalent to (w+9)+3.
Please use your explanation.

Answers

The equivalent expression for the given expression (w+9)+3 using associative property is w + 12

Solution:

Given that, expression is ( w + 9 ) + 3

We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3

The associative property states that you can add or multiply regardless of how the numbers are grouped

By above definition, we get

(a + b) + c = a + (b + c)

So, now let us apply the above property to the given expression,

Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12

Hence, the equivalent expression for the given expression is w + 12

Associative property:-

[tex]\boxed{\sf (a+b)+c=a+(b+c)}[/tex]

Now

[tex]\\ \sf\longmapsto (w+9)+3[/tex]

[tex]\\ \sf\longmapsto 3+(w+9)[/tex]

What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?

Answers

Answer:

  5π, about 15.708 units

Step-by-step explanation:

A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...

  C = πd

For a diameter of 5 units, the circumference is ...

  C = π(5) = 5π = 15.708 . . . units

_____

Additional comment

The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...

 3² + 4² = 9 +16 = 25 = 5²

That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.

answer this question attached please

Answers

Answer:

30 degree

Step-by-step explanation:

sum of the interior angles of a hexagon=720degree

one angle of the hexagon=720/6=120degree

one angle of the rhombus=90 degree

therefore, x=120-90=30

look at the right angle triangle ABC 75

Answers

Answer:

A and B are equal to 52.5°

Step-by-step explanation:

One angle has to be 75°, so let's say that angle C is 75°. You need to subtract 75 from 180, which is 105°. Now, divide 105° by 2, which equals 52.5. Your answer is: Angles A and B are both equal to 52.5

The 6th term of the geometric sequence is 1/128. The common ratio is 1/2. Find the 9th term of the sequence
1/128
1/256
1/512
1/1024

Answers

Answer:

it's the 4th one

Step-by-step explanation:

A, the one you mentioned

B, the 7th

C, the 8th

D is your answer

a^-13/ a^-6= ?
Rewrite the expression in the form a^n


Answers

Answer:

a^-7

Step-by-step explanation:

so when dividing exponents you subtract them so the exponents are -13 and -6  you would just subtract them

-13 - (-6) = -13 + 6 = -7

and so a^-7 is ur answer

Question 6 of 25
Evaluate 4(x - 3) + 5x - x2 for x = 3.
-

Answers

[tex]\text{Given that,}\\\\4(x-3) +5x -x^2\\\\\text{For x =3,}\\\\4(3-3) +5(3) -3^2 = 4(0) +15 -9 = 6[/tex]

4( 3 - 3 ) + 5 (3) -(3)2
distribute the 4 into the 3’s
multiply 5 by 3 as well as -3 and 2
add them all

Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one block of clay to make 20 conical shark teeth for the sculpture. The block contains 81 cm3 of clay. If each tooth is solid and has a 2. 5 cm base diameter, what is the maximum height each tooth can be? Assume that the students use all the clay. A. 1. 25 cm B. 2. 27 cm C. 2. 47 cm D. 3. 57 cm E. 4. 50 cm.

Answers

The maximum height each tooth is 2.47cm.

The first step is to determine the maximum volume of a tooth.

Maximum volume of a tooth = volume of the block / number of teeth

81 cm³ / 20 = 4.05cm³

The formula to determine the height of a cone is:

Height = volume ÷ [tex]\frac{1}{3}[/tex]πr²

Where:

π = pi = 22/7 r = radius = 2.5 / 2 = 1.25cm

Height = 4.05  ÷ [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x 1.25² = 2.47 cm

To learn more about the volume of a cone, please check: https://brainly.com/question/1315822

the production of wheat increases from 25 tons to 30 tons the percantage increase in prodution of wheat is

Answers

Answer:

  20%

Step-by-step explanation:

The percentage change is the difference divided by the original amount, expressed as a percentage.

  (30 -25)/25 × 100% = 20%

Production increased by 20%.

4.69 divided by 3.5 please help

Answers

Answer:

1.34

Step-by-step explanation:

Used a Calculator

Answer:

1.34

Step-by-step explanation:

4.69/3.5

=1.34

Here is your answerPlz mark me as brainliest

Which inequality matches the graph

Answers

Answer:

x ≤ -2

Step-by-step explanation:

its going towards numbers smaller than negative 2 so its less than. A closed circle dot means it includes the -2 so its less than or equal to

Plslslslslslsllep
Helppp tyyyyyyyy

Answers

[tex](5xy ^{2} {)}^{3} \\ = {5}^{3} \times {x}^{3} \times y ^{2 \times 3} \\ = 125 {x}^{3} {y}^{6} [/tex]

Answer:

[tex]125 {x}^{3} {y}^{6} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

125x^3y^6

Step-by-step explanation:

Distribute the 3 exponent on the outside to the 5, x^1 and y^2

5^3 = 125

1 * 3 = 3

2 * 3 = 6

125x^3y^6

A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34. Which of the following values is outside the 99% confidence interval for the population mean? Use the table below to help you answer the question. Confidence Level 90% 95% 99% z*-score 1. 645 1. 96 2. 58 Remember, the margin of error, ME, can be determined using the formula M E = StartFraction z times s Over StartRoot n EndRoot EndFraction. The value of 135 because it is not greater than 136. 5 the value of 137 because it is greater than 136. 5 the value of 138 because it is less than 153. 2 the value of 154 because it is greater than 153. 2.

Answers

The correct option is ''The value of 135 because it is not greater than 136.5 values is outside the 99% confidence interval for the population mean''

Given that,

A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.

We have to find,

Which of the following values is outside the 99% confidence interval for the population mean?

According to the question,

A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.

Sample space n = 85,

Mean = 146

And standard deviation = 34

Then, The standard error of the sample is,

[tex]= \dfrac{\sigma}{n}\\\\= \dfrac{34}{\sqrt{85}}\\\\= \dfrac{34}{9.21}\\\\= 3.6[/tex]

Then, z-critical value for 99% is 2.58,

Margin of error = ±9.515

Confidence interval for lower bound is,

= 146 - 9.515 = 136.485

And confidence interval upper bound is,

= 146 + 9.515 = 155.515

Here, 135 is less than the lower bound,

Therefore, 135 does not lie within a 99% confidence interval.

For more details about Lower bound refer to the link given below.

https://brainly.com/question/15974739

Answer:

Answer is

the value of 135

Step-by-step explanation:

just in case some of u have different lettered answers your A may be C so i just give the numerical answer lol its easier

help please brainliest and 30 pts

Answers

D the development of controversy about the Three Gorges Dam

Answer:  B though im not sure

Step-by-step explanation:

what is the 60th term of the sequence 2, -3, -8, -13?

Answers

Answer:

  -293

Step-by-step explanation:

The first term of the arithmetic sequence is a1 = 2. The common difference is d = -3-2 = -5. The general term is ...

  an = a1 +d(n -1)

  an = 2 -5(n -1)

The 60th term is ...

  a60 = 2 -5(60 -1) = -293

5) - 2y = -2x

slope intercept form please someone help i don’t have much time

Answers

[tex]\text{Given that,}\\\\-2y = -2x\\\\\implies y = x\\\\\implies y = x+0\\\\\\\text{This is the slope- intercept form(y=mx+b) of the given equation,}\\ \text{where the slope is 1 and y - intercept is 0.}[/tex]

A moving truck traveled 333 miles in 6 hours. A car traveled 210 miles in 4 hours. What was the average rate of speed (mph) for each vehicle?

Answers

Divide distance by time

Truck : 333/6 = 55.5 miles per hour

Car: 210/4 = 52.5 miles per hour

Answer:

Below.

Step-by-step explanation:

Speed of truck = 333/6 = 55.5 mph.

Speed of car = 210/4 = 52.5 mph.

A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.

How much was deducted from the original price?

$0.40

$4.20

$5.20

$7.80

Answers

First of all we have to find 40% of $13.00
13x40/100=5.2
Then 13-5.2=7.8
Answer is $7.80

The sum of two polynomials is â€"yz2 â€" 3z2 â€" 4y 4. If one of the polynomials is y â€" 4yz2 â€" 3, what is the other polynomial? â€"2yz2 â€" 4y 7 â€"2yz2 â€" 3y 1 â€"5yz2 3z2 â€" 3y 1 3yz2 â€" 3z2 â€" 5y 7.

Answers

The sum of polynomials involves adding the polynomials

The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

The sum of the polynomials is given as:

[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]

One of the polynomials is given as:

[tex]P = 4y^2 - 3[/tex]

Represent the other polynomial with Q.

So, we have:

[tex]P +Q =Sum[/tex]

Substitute the expressions for P and Sum

[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]

Make Q the subject

[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]

Evaluate like terms

[tex]Q =y^3 -y^2+ 4y - 1[/tex]

Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

Read more about polynomials at:

https://brainly.com/question/1487158

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