10=−4x+3x^2 solve

please help!

Answers

Answer 1

Answer:

-1.28 AND 2.61

Step-by-step explanation:

[tex]10= -4x+3x^2\\ 3x^2 -4x - 10 = 0\\\\[/tex]

use quadratic formula

x =  [tex]\frac{-b+\sqrt{b^{2} -4ac} }{2a}[/tex]   x =  [tex]\frac{-b-\sqrt{b^{2} -4ac} }{2a}[/tex]

Solution/X-Intercepts: -1.28 AND 2.61    


Related Questions


Find the mean or average of these savings accounts $215, $156,$318, $75, and $25​

Answers

Answer:

157.8

Step-by-step explanation:

Add them all up to get 789 and divide them by 5 as there are five numbers to get the answer:)

X^2-y^2=k need the answer

Answers

Answer:

Let's solve for k.

x2−y2=k

Step 1: Flip the equation.

k=x2−y2

Answer:

k=x2−y2

Step-by-step explanation:

If $6,000 is invested in a bank account at an interest rate of 9 per cent per year, find the amount in the bank after 5 years if interest is compounded annually, quarterly, monthly, and continuously.

Answers

Answer:

annual -  $9,231.74  

quarterly - $9,363.06  

monthly -  $9,394.09  

continuously -$9,409.87  

Step-by-step explanation:

1.055.
Determine whether the statement is true or false. If the statement is false, give a reason.
{5, 6, 7} = {5, 5, 6, 7, 7}

Answers

Given:

The statement is:

{5, 6, 7} = {5, 5, 6, 7, 7}

To find:

Whether the given statement is true or false.

Solution:

Two sets are equal if they have exactly the same elements.

The given set {5, 6, 7} has three elements and the set {5, 5, 6, 7, 7} has five elements but we known that all the elements of a set are distinct. It means, it has no repeated element.

Set {5, 5, 6, 7, 7} has three distinct elements 5, 6, 7. So,

{5, 5, 6, 7, 7} = {5, 6, 7}

Therefore, the given statement is true.

Find the value of y .
Please help !

Answers

9514 1404 393

Answer:

  (b)  √55

Step-by-step explanation:

The right triangles in this geometry are all similar, so the ratio of long side to short side is the same:

  y/5 = 11/y

  y² = 55 . . . . . . multiply by 5y

  y = √55 . . . . . take the square root

__

And x=4√5 by looking at ratios of short side to hypotenuse.

5.
Tax: The property taxes on a house were
$1050. What was the tax rate if the house was
valued at $70,000?

Answers

Answer:

1.5%

Step-by-step explanation:

house value x property tax rate = property taxes

70,000 x property tax rate = 1050

property tax rate = 1050/70000

property tax rate = .015 0r 1.5%

Not sure I would solve this problem or where to start? Can someone help me out here please?

Answers

Answer:

$2419469.58

Step-by-step explanation:

You are given the original player salary and told that there is a pay decrease of 2.7%.

So New Salary= Original Salary-Pay Decrease.

If original is 100% and pay decrease is 2.7% then the new salary is 97.3% of original.

New Salary= 0.973*2486609=$2419469.58

Which value of n makes the equation true?

-1/2n=-8

Answers

Answer:

16?

Step-by-step explanation:

I'm not sure. I hope so.

n=16.

-1/2n=-8
2(-1/2n)=-8(2)
-n=-16
divide by -1 and you get n=16 !

If y- 1 equals 10 then y

Answers

Answer:

11

Step-by-step explanation:

y-1=10

Any figure that crosses equal sign, the operational sign changes.

y=10+1

y= 11

What is division story problem where the dividend is a three-digit number and the divisor is a single digit.

Answers

Answer:

dddddddddv

Step-by-step explanation:

The sales department has determined that the average purchase value for their catalog business is normally distributed with a mean of $41.34 and a standard deviation of $13.54. What is the purchase value at the 30th percentile

Answers

Answer:

The purchase value at the 30th percentile=34.24

Step-by-step explanation:

We are given that

Mean,[tex]\mu=41.34[/tex]

Standard deviation,[tex]\sigma=13.54[/tex]

We have to find the purchase value at the 30th percentile.

[tex]xth percentile =\mu+Z\times \sigma[/tex]

Where Z is the critical value of x% confidence interval

x=30

Critical value of Z at 30% confidence interval=-0.5244

Using the formula

30th percentile=[tex]41.34+(-0.5244)(13.54)[/tex]

30th percentile=[tex]41.34-7.100376[/tex]

30th percentile[tex]\approx 34.24[/tex]

Hence,  the purchase value at the 30th percentile=34.24

Calculate the difference and enter it below

-6 - 12

Answers

Answer:

-18

Step-by-step explanation:

Answer: -18 is the difference

Step-by-step explanation:

Evaluate = -18

Please help ASAP !!! Thank you !

Answers

(1) =(a+b)(3c-d) =a(3c-d)+b(3c-d) =3ac-ad+3bc-bd

(2) =(a-b)(c+2d) =a(c+2d)-b(c+2d) =ac+2ad-bc-2bd

(3) =(a-b)(c-2d) =a(c-2d)-b(c-2d) =ac-2ad-bc+2bd

(4) =(2a+b)(c-3d) =2a(c-3d)+b(c-3d) =2ac-6ad+bc-3bd

what is the best deal for diet coke?
12oz. for $.99
64oz. for $.2.99
128oz. for $4.99

Answers

Answer:

128 for 4.99

64 for 2.99 times 2 is more than 4.99.

12 oz. for 0.99 is also more than 4.99.


Rajah 1 menunjukkan lukisan pelan berskala bagi sebuah rumah
lantainya berbentuk dua segi empat sama.
Skala yang digunakan adalah 1:200. Jika
kos memasang jubin jalah Rm 30 per m3
berapakah jumlah kos memasang jubin bagi
rumah tersebut?

Answers

Answer:

RM 1200 kalau ada gambar cuba insert

Your friend is looking at laptops for college, and is comparing the different
screen sizes. Use the diagram and formula below to find the height of the
laptop screen. Round your answer to the tenths place.
d - VW
d= 72.7mn
h
W 026

Answers

Answer:

B. h = 7.4 inches

Step-by-step explanation:

height of the laptop screen = h

d = 12.1 in.

w = 9.6 in.

We are given the formula,

d = √(w² + h²)

Plug in the values and solve for h

12.1 = √(9.6² + h²)

Square both sides

12.1² = 9.6² + h²

146.41 = 92.16 + h²

146.41 - 92.16 = h²

54.25 = h²

√54.25 = h

7.4 = h (nearest tenth)

h = 7.4 inches

A football is punted so that its path is described by the function h(t) = -4.9(t - 3.5)2 + 15 where h(t) is the height of the football, in meters at time t, in seconds.

What time in seconds does it take for the football to reach its maximum height? Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

You already have this set up to answer your question. This quadratic is in work form, aka vertex form, where the vertex is (3.5, 15). The first coordinate of the vertex is the time it takes to reach its max height, which is the second coordinate of the vertex. So it takes 3.5 seconds to reach a max height of 15 meters.

Tom swims a 1/2 kilometers every 1/4 hour. How far will he swim in one hour.​

Answers

Answer:

2 kilometers

Step-by-step explanation:

every 1 kilometer is a 1/2 hour. double that and you get 2

What can you say about the y-values of the two functions f(x) = 3x -3 and
g(x) = 7x2 -3?

Answers

9514 1404 393

Answer:

the y-values of g(x) are limited to values of at least -3, those of f(x) are not limitedthe y-values are the same for two different x-values

Step-by-step explanation:

You can say lots of things about the y-values of these functions. A couple of observations are listed above. In addition, we can say the y-values of g(x) will be greater than those of f(x) for x-values not equal or between the x-values where the y-values are the same.

Answer:

• g(x) has the smallest possible y-value.

• The minimum y value of g(x) is -3.

Step-by-step explanation:

Ap3x

Plz do this, I’m so exhausted. Thxx

Answers

Answer:

12) B --> x < 8/3

13) B --> x ≤ 1/6

Step-by-step explanation:

12) Solving inequalities is just like solving normal equations where you and add, subtract, multiply and divide sides by the same value. Keep in mind dividing or multiplying by a negative flips the sign:

x - 10 < 6 - 5x

Add 5x to both sides to combine the x terms:

x - 10 < 6 - 5x

+5x          +5x

6x - 10 < 6

Add 10 to both sides to isolate the x term:

6x - 10 < 6

+10       +10

6x < 16

Now, divide by 6 on both sides:

x < 8/3, this is B

13) Simplify 2 - 4:

2-3(2x + 1) ≤ 6x(-2)

Distribute:

2 - 6x - 3 ≤ -12x

Add 12x to both sides and combine like terms:

6x - 1 ≤ 0

Add 1 to both sides:

6x ≤ 1

Divide by 6:

x ≤ 1/6, this is B

12. B


X- 10 < 6-5x


So I brought over the five x to be on the side where the x is and then I placed the others on the other side so…


5x + x < 6 + 10

6x < 16

Then I divided both sides by 6

Find the intersection of the parabola y=x^2+4x+3 and the line x-y=-1

Answers

Answer:

1

Step-by-step explanation:

oludonts c) 2x + y = 2
2x + 2y = 0​

Answers

Answer:

[tex]x = 2[/tex]

[tex]y = -2[/tex]

Step-by-step explanation:

Given

[tex]2x + y = 2[/tex]

[tex]2x + 2y = 0[/tex]

Required

Solfe for x and y

Subtract both equations

[tex]2x- 2x + y - 2y = 2 -0[/tex]

[tex]-y = 2[/tex]

Divide by -1

[tex]y = -2[/tex]

Substitute [tex]y = -2[/tex] in [tex]2x + 2y = 0[/tex]

[tex]2x+2 *-2 = 0[/tex]

[tex]2x-4 = 0[/tex]

[tex]x - 2 = 0[/tex]

Collect like terms

[tex]x = 2[/tex]

Find the third term of a geometric progression if the sum of the first three terms is equal to 12, and the sum of the first six terms is equal to (−84).

Answers

Given:

The sum of the first three terms = 12

The sum of the first six terms = (−84).

To find:

The third term of a geometric progression.

Solution:

The sum of first n term of a geometric progression is:

[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]

Where, a is the first term and r is the common ratio.

The sum of the first three terms is equal to 12, and the sum of the first six terms is equal to (−84).

[tex]\dfrac{a(r^3-1)}{r-1}=12[/tex]               ...(i)

[tex]\dfrac{a(r^6-1)}{r-1}=-84[/tex]               ...(ii)

Divide (ii) by (i), we get

[tex]\dfrac{r^6-1}{r^3-1}=\dfrac{-84}{12}[/tex]

[tex]\dfrac{(r^3-1)(r^3+1)}{r^3-1}=-7[/tex]

[tex]r^3+1=-7[/tex]

[tex]r^3=-7-1[/tex]

[tex]r^3=-8[/tex]

Taking cube root on both sides, we get

[tex]r=-2[/tex]

Putting [tex]r=-2[/tex] in (i), we get

[tex]\dfrac{a((-2)^3-1)}{(-2)-1}=12[/tex]

[tex]\dfrac{a(-8-1)}{-3}=12[/tex]

[tex]\dfrac{-9a}{-3}=12[/tex]

[tex]3a=12[/tex]

Divide both sides by 3.

[tex]a=4[/tex]

The nth term of a geometric progression is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Putting [tex]n=3,a=4,r=-2[/tex] in the above formula, we get

[tex]a_3=4(-2)^{3-1}[/tex]

[tex]a_3=4(-2)^{2}[/tex]

[tex]a_3=4(4)[/tex]

[tex]a_3=16[/tex]

Therefore, the third term of the geometric progression is 16.

There are 92 students enrolled in an French course and 248 students enrolled in a Spanish course. Construct a ratio comparing students enrolled in a French course to students enrolled in a Spanish course. Write your answer as a decimal, rounded to the thousandths place.

Answers

Answer:

0.371

Step-by-step explanation:

The ratio comparing students enrolled in a French course to students enrolled in a Spanish course rounded to the thousandths place is 0.371.

What is the ratio?

A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.

Now it is given that,

Students enrolled in a French course = 92

Students enrolled in a Spanish course = 248

So, Ratio comparing students enrolled in a French course to students enrolled in a Spanish = Students enrolled in a French course / Students enrolled in a Spanish course

Ratio comparing students enrolled in a French course to students enrolled in a Spanish = 92/248

Ratio comparing students enrolled in a French course to students enrolled in a Spanish = 0.370967

To rounded to the thousandths place, the digit at the thousandth place is 0 and right to it is 9 which is greater than 5 so round up the place value at thousandths place.

Ratio comparing students enrolled in a French course to students enrolled in a Spanish = 0.371

Thus, the ratio comparing students enrolled in a French course to students enrolled in a Spanish course rounded to the thousandths place is 0.371.

To learn more about ratio:

https://brainly.com/question/1504221

#SPJ2

The function y=5(1/2)^x Models the number of grams of radioactive material, y, left in a container after x days. Sketch the graph of this function below

Answers

Answer:

see graph

Step-by-step explanation:

The cardinal number of {200, 201, 202, 203, ..., 1099}

Answers

Answer:

I have not been able to answer it sorry

Find domain of (x^2+3)+[tex]\sqrt{x} 3x-1[/tex]

Answers

Answer:

= x^2 + 3 + √3x^2 - 1

Step-by-step explanation:

Remove parentheses: (a) = a

= x^2 + 3 + √x . 3x - 1

x . 3x = 3x^2

= x^2 + 3 + √3x^2 - 1

Please help me i will give brainlest please i need help

Answers

Answer:

Since you didn't mention which question.

Step-by-step explanation:

13.

[tex]1.\overline{52}\\[/tex] = 1.525252...

Let x = 1.525252...

    10x = 15.2525252....

    100x = 152.525252...

100x - x = 151.00

99x = 151

[tex]x = \frac{151}{99}\\\\or\\\\x = 1 \frac{52}{99}[/tex]

14.

4x + 10 = 8x - 26                        [ corresponding angles are congruent ]

4x - 8x = - 26 - 10

- 4x = - 36

[tex]x = \frac{-36}{-4} \\\\x = 9[/tex]

15.

Given breadth of a rectangle is ( 2/3) its length.

Let the length be x

Therefore, breadth = ( 2 /3) of x

                             [tex]= \frac{2}{3} \times x\\\\=\frac{2}{3}x[/tex]

Given perimeter = 40m

Perimeter of a rectangle = 2( length + breadth)

                                [tex]40 = 2 (x + \frac{2}{3}x )\\\\\frac{40}{2} = \frac{2}{2}(x + \frac{2}{3}x)\\\\20 = x + \frac{2}{3}x\\\\20 = \frac{3x + 2x}{3}\\\\20 \times 3 = 5x \\\\x = \frac{60}{5}\\\\x = 12\\\\Therefore, Length = x = 12 \ m \ and \ breadth = \frac{2}{3}x = \frac{2}{3} \times 12 = 8 \ m[/tex]

16.

Sum of the angles of a triangle = 180°

Given ratio = 2 : 3 : 4

Sum of the ratio = 9

Therefore,

            [tex]first \ angle = \frac{2}{9} \times 180 = 2 \times 20 = 40 ^\circ\\\\Second \ angle = \frac{3}{9} \times 180 = 3 \times 20 = 60^\circ\\\\Third angle = \frac{4}{9} \times 180 = 4 \times 20 = 80^\circ[/tex]

17.

Sum of interior angles of a polygon with n sides = ( n - 2) x 180°

Given polygon is pentagon, that is n = 5

Therefore, sum of the interior angles = ( 5 - 2) x 180 = 3 x 180 = 540°

That is ,

          x + 125 + 125 + 88 + 60 = 540°

          x + 398 = 540°

          x = 540 - 398

          x = 142°

Answer:

Please can you say which question?

Thank you

I need help with this problem.

Answers

Answer:

-4

Step-by-step explanation:

2t=-1-7

t=-8/2

t=-4

i am not sure also

Solve the inequality. |X-15|>9

Answers

Answer:

X<6 or X>24

Step-by-step explanation:

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