Solve the equation 4x^2 + 24x + 13 = 2x^2+ 6x to the nearest tenth.

Answers

Answer 1

Answer:

-0.8 and -8.2

Step-by-step explanation:

To solve a quadratic you first need to have one side of the equation equal to zero (because x-intercepts are when y is zero).

4x^2 + 24x + 13 = 2x^2 + 6x

2x^2 + 18x + 13 = 0

Then you can use the quadratic formula to solve for x. You will then come to

-18 ± sqrt(220) / 4

This will simplify out (rounding to the nearest tenth) to -0.8 and -8.2


Related Questions

3. This table shows a linear relationship between the amount of water in a tank and
time.
time (minutes) water (gallons)
0 T| 30 G
5 T| 20 G
10T| 10 G
Which of these statements is true?
OD
A.The water in the tank is increasing at a rate of 2 gallons per minute.

B.The water in the tank is increasing at a rate of 10 gallons per minute.

C.The water in the tank is decreasing at a rate of 2 gallons per minute.

D.The water in the tank is decreasing at a rate of 10 gallons per minute.
OL

Answers

Answer:

c because 10gallons per min is to much

Step-by-step explanation:

The water in the tank is decreasing at a rate of 2 gallons per minute. Therefore, option C is the correct answer.

What is the equation of a line?

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given table shows a linear relationship between the amount of water in a tank and time.

From the table we have (0, 30), (5, 20) and (10, 10).

Now, slope m=(20-30)/(5-0)

m= -2

Substitute (x, y)=(0, 30) and m=-2 in y=mx+c, we get

30=-10(0)+c

c=30

Now equation is y=-2x+30

Here, the water in the tank is decreasing at a rate of 2 gallons per minute.

Therefore, option C is the correct answer.

To learn more about the equation of a line visit:

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consider the graph of the function y=1/4x2-3x-40. what are the roots of the function?

Answers

Answer: the roots are x = 20 and x = -8

Step-by-step explanation:

We have the function

y = (1/4)x^2 - 3x - 40

We want to find the roots, that are the points in where y(x) = 0

For a quadratic equation of the form:

y = a*x^2 + bx + c the roots are:

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

in this case we have:

[tex]x = \frac{3 +-\sqrt{3^2 +4*(1/4)*40} }{2*(1/4)}= \frac{3 +-7}{(1/2)}[/tex]

So the two roots are:

x = 2*(3 + 7) = 20

x = 2*(3 - 7) = -8

if ann had 10 apples and she gave 6 apples to lailta how many apples does ann have left

Answers

Answer:

4

Step-by-step explanation:

10-6=4

1111111111

111111    

Answer:

4

Step-by-step explanati

10-6=4

the radius of a circle with a circumstance of 28 pie into units

Answers

Answer:

The radius is 14

Step-by-step explanation:

The circumference of the circle is 28 pi

C = 2* pi *r  where r is the radius

28 pi = 2 pi *r

Divide each side by 2 pi

28 pi/2pi = 2 pi *r/2pi

14 = r

find out three rational numbers lying between 2/3 and 3/4

PLEASE HELP...... I NEED TO SUBMIT IT NOW......

Answers

Answer:

33/48, 34/48, 35/48

Step-by-step explanation:

2/3 is equal to 32/48 and 3/4 is equal to 36/48. The fractions in between them are all rational numbers. Hope this helped <3

2/3 = 2000/3000
3/4 = 2250/3000

Here are 248 rational numbers between them:
2001/3000
2002/3000
2003/3000
2004/3000
2005/3000
2006/3000
2007/3000
2008/3000
2009/3000
2010/3000
2011/3000
2012/3000
2013/3000
2014/3000
2015/3000
2016/3000
2017/3000
2018/3000
2019/3000
2020/3000
2021/3000
2022/3000
2023/3000
2024/3000
2025/3000
2026/3000
2027/3000
2028/3000
2029/3000
2030/3000
2031/3000
2032/3000
2033/3000
2034/3000
2035/3000
2036/3000
2037/3000
2038/3000
2039/3000
2040/3000
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2100/3000
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2108/3000
2109/3000
2110/3000
2111/3000
2112/3000
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2161/3000
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2165/3000
2166/3000
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2168/3000
2169/3000
2170/3000
2171/3000
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2174/3000
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2178/3000
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2209/3000
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2221/3000
2222/3000
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2225/3000
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2229/3000
2230/3000
2231/3000
2232/3000
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2234/3000
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2239/3000
2240/3000
2241/3000
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2249/3000

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 centimeters. He will make the "X" by stretching the red ribbon diagonally from corner to corner. How many centimeters of ribbon will Peter need to make the "X"?

Answers

Answer:

33.94 cms of ribbon

Step-by-step explanation:

Because you need two diagonals to form the x, therefore the amount  of ribbon needed is the sum of the distance of both diagonals.

When crossing the diagonal, a rectangular angle is formed, where the diagonal would be the hypotenuse, we know that the distance of the hypotenuse can be calculated by means of the legs, which we know its value (12):

d ^ 2 = a ^ 2 + b ^ 2

a = b = 12

d ^ 2 = 12 ^ 2 + 12 ^ 2

d ^ 2 = 288

d = 288 ^ (1/2)

d = 16.97

16.97 cm is what it measures, a diagonal, therefore tape is needed:

16.97 * 2 = 33.94

A total of 33.94 cms of ribbon is needed

Answer:

Answer is 34

Step-by-step explanation: Took the quiz and got it right.

A manufacturer claims that its cleaning product is best because over half of the cleaning services surveyed used the product. Which BEST decreases the validity of the claim? A.Only 50 cleaning services were surveyed. B.Cleaning services were selected at random. C.A well-known company conducted the survey. D.Only one cleaning product was asked about in the survey.

Answers

Answer:

D. Only one cleaning product was asked about in the survey.

Any given company can use more than one cleaning product or even use a combination of different cleaning products. The question was not specific enough, since it should have probably asked which cleaning products are used and which ones are used more frequently.

Step-by-step explanation:

the other options are wrong because:

A. Only 50 cleaning services were surveyed. ⇒ This actually would increase the validity of the claim because it satisfies the the condition for a valid confidence interval [np and n(1 - p) are larger than 10]-B. Cleaning services were selected at random. ⇒ This actually would increase the validity of the claim. C. A well-known company conducted the survey. ⇒ This actually would increase the validity of the claim.

HELPP MEE FASTT I HAVE LESS THAN 10 MIN

Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.

Which describes the number of months it will take to pay off the debt? Select three options.
x + 15 + 35 = 155
35 x + 15 = 155
35 x = 155 minus 15
It will take 8 months to pay off the debt.
It will take 4 months to pay off the debt.

Answers

Answer:

35x + 15 = 155

35x = 155 minus 15

it will take 4 months to pay off the debt.

Hope this helps. Mark brainliest please!

Answer:

35x + 15 = 155

35x = 155 - 15

It will take 4 months to pay off debt

Step-by-step explanation:

Its mental so idk but trust me <3

WILL MARK THE BRAINLIEST!!!! What is a function?

Answers

Answer:

In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Step-by-step explanation:

Simplify. 6x+3−(x+1) =

Answers

Answer:

5x +2

Step-by-step explanation:

6x+3−(x+1) =

Distribute the minus sign

6x +3 -x -1

5x +2

Answer:

[tex]5x + 2[/tex]

Step-by-step explanation:

[tex]6x + 3 - (x + 1) \\ 6x + 3 - x - 1 \\ = 5x + 2[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Joel has a goal to practice is clarinet for 4 1/2 hours per week the list below shows the number of hours Chihuahuas practice so far this week Monday 1 1/2 hours Wednesday 11

Answers

Complete question:

Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour How many more hours does he need to practice this week to meet his goal

Answer: 3/4 hours

Step-by-step explanation:

Target hours = 4 1/2 hours = 9/2 hours

Number of hours so far :

(1 1/2 + 1 1/4 + 1) = (3/2 + 5/4 + 1) hours

Total so far :

L. C. M of denominator = 4

(6 + 5 + 4) /4 = 15/4

Number of hours left to meet his target equals :

Target hours - total so far

( 9/2 - 15/4)

L. C. M of denominator = 4

(18 - 15) / 4 = 3/4 hours

.

Three fifths of the sum of 13 and 6

Answers

Answer: 11.4

Step-by-step explanation:

change to numbers [tex]\frac{3}{5} (13+6)[/tex]

simplify [tex]\frac{3}{5} (19)\\11.4[/tex]

Which ordered pair represents the coordinates of point H

Answers

Answer:

is there a picture?

Step-by-step explanation:

Answer:

1-4 0-6

Step-by-step explanation:

What is the probability of rolling a number cube and getting a number greater than four?

Answers

The probability would be 8/12

Imani sells shirts packed in boxes that are each 15in. x 10in. x 2in. Imani stacked 3 boxes and wrapped them with one piece of paper. How much paper did she use, not including overlap?

Answers

Answer:

She used 600 square inches of paper.

Step-by-step explanation:

Since the box are 15 in x 10 in x 2 in and are stacked on top of each other, they form a bigger rectangular prism with 15 in x 10 in x 6 in. In order to calculate how much paper she used, we need to calculate the surface area of this prism, this is done by using the following formulla:

surface area = 2*width*length + 2*width*height + 2*length*height

surface area = 2*15*10 + 2*15*6 + 2*10*6 = 300 + 180 + 120

surface area = 600 in².

She used 600 square inches of paper.

Please help will mark brainliest!!!
How would you describe the graph of the function at interval 3? Select all that apply.
image below

Answers

Answer:

B and E

Step-by-step explanation:

In the graph, the altitude represents Y axis while time represents the X axis. we can see that at interval 1 the function is dramatically decreasing. At Interval 2 the function is constant. At interval 3 the function is increasing but I can't say definitively if the slope is positive or negative. Hope this helped!

Can you please help me

Answers

Answer:

the length of the car in Ivan's drawing is 12 cm, or the second option.

Step-by-step explanation:

Scale drawing length : actual car length = 2 cm:1 cm

Since it's the same car, we know that the length would be 6 cm.

Therefore, we can set up a proportion and solve for x.

2/1=x/6

x=12

Therefore, the length of the car in Ivan's drawing is 12 cm, or the second option.

I hope this helped and have a good rest of your day!

The ratio of cars to trucks passing the intersection of Reyes Adobe and TO Blvd is 7:2. If 108 vehicles pass this intersection, how many are cars?

Answers

Answer:

84 cars

Step-by-step explanation:

the the ratio is 7 to 2. There were 108 vehicles. 108/ 9=12

12 x 7= 84.... or at least that's how I think of it.

Michael has three quarters two dimes + 3 nickels in his pocket he randomly draws two coins from his pocket at one time and they are both times he says the probability of that occurring as 1 out of 4 because two of the eight coins are dimes is he correct explain

Answers

Answer:

He is correct

Step-by-step explanation:

Here, we have 3 types of coins which are;

3 quarters

2 dimes

3 nickels

Now, we want to obtain the probability that if two coins are selected, both will be dimes.

Now, this probability is kind of delicate. This is because he is selecting only at a single time, the two coins.

Thus, the probability of the two coins coming out at the same time and they are both dimes will be 2/8 = 1/4

This shows that she is correct.

Kindly note that our answer is 1/4 because she is making the selection at the same time and not once at a time

7(5+2x)+x=65 someone please help me with this equation

Answers

Answer:

x=2

Step-by-step explanation:

7(5+2x)+x=65

35+14x+x=65

35+15x=65

15x=65-35

15x=30/15

x=2

Answer:

x=2

Step-by-step explanation:

7×5=35

7×2x=14x+=65

so the equation would be

35+14x+x=65

add the variables together so:

35+15x=65

subtract 35 from 65 which makes it 30 so:

15x=30

now divide both sides by 15

which makes the anwer x=2

what is the 15th n term of the sequence 22 18 14 10 6

Answers

Answer:

-34

Step-by-step explanation:

All you have to do is subtract by 4 until you count to 15 which then leads you to the number -34

for the data set 46, 31, 44, 35, 39, 43, 33, 41 what is the mean absolute deviation

Answers

Answer: i believe the answer is 39

Step-by-step explanation:

sum divided by the terms


How many fourths are in 2 1/2?

Answers

Answer:

There are 10 fourths.

Step-by-step explanation:

There are four 1/4ths in 1. So 2.5 x 4 = 10.

Answer:

2 1/2 is the same as 5/2 which is the same as 10/4, so 10 is the answer :)

Step-by step solution

Use the Pythagorean Theorem to find the length of the hypotenuse of a
right triangle if the lengths of the legs are 5 and 12 meters.

Answers

Answer:

13

Step-by-step explanation:

x^2=5^2+12^2

x^2=25+144

x^2=169

x=13

Screen Shot 2020-05-18 at 9.51.50 AM
Screen Shot 2020-05-18 at 9.57.43 AM

Answers

Answer:

there is nothing there

Step-by-step explanation:

literally

Answe    

Step-by-step explanation:

Help with this question please!!

Answers

Answer:

Width = 160

Length = 110

Step-by-step explanation:

Perimeter is the sum of all the sides

They tell you that the length is 50 m shorter than the width

so L = W - 50

W = W

540 = W + W + W-50 + W-50

540 = 2W + 2(W-50)

540 = 2W + 2W - 100

540 = 4W - 100

640 = 4W

W = 160

L = 160 - 50

L = 110

Answer:

Length: 110 m

Width: 160 m

Step-by-step explanation:

The formula for perimeter of a rectangle is P = 2L + 2W.

We can write the length in terms of width if width is w:

Length: w - 50

Width: w

Plug the values into the formula.

540 = 2(w - 50) + 2w

540 = 2w - 100 + 2w

540 = 4w - 100

640 = 4w

w = 160

find length by subtracting 50 from the width

160-50=110

Therefore, the length is 110 and the width is 160.

select the correct answer you're getting two side lengths of 10 cm and 8 centimeters the angle between the sides measure 40° how many triangles can you construct using his measurements? WILL GIVE BRAINLIEST PLZ HELP ​

Answers

Answer:

Step-by-step explanation:

16 triangles

16 triangles Hope this helps

Is it possible to triangulate a quadrilateral and get more or fewer than two triangles? Determine whether this investigation verifies that the sum of the interior angles of a quadrilateral is always 360°.

Answers

Answer:

No.

Step-by-step explanation:

It’s not possible. No matter what type of quadrilateral it is, there will only be two triangles formed, verifying that the sum of the interior angles of a quadrilateral is always 360°.

It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. It is verifies that the sum of the interior angles of a quadrilateral is always 360°.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. No matter what type of quadrilateral it is, there will only be two triangles formed.

We know that The sum of internal angle of a quadrilateral is 360°.

The sum of angle in a triangle is 180°. By Adding the two triangle angle together, we will get the sum as 360°.

The Sum of the interior angle of a polygon = 180(n-2) .

It is verifies that the sum of the interior angles of a quadrilateral is always 360°.

Learn more about quadrilateral;

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what is the factor of this polynomial: x^2-7x+6​

Answers

Answer:

x^2-7x+6=(x-1)(x-6)

s= ut + 1/2 at x2
u=10
a=-2
t=1/2
work out the value of s

Answers

Answer:

s = 4 3/4.

Step-by-step explanation:

The formula is s = ut + 1/2 at^2

so s =  10^1/2 + 1/2 * -2 * (1/2)^2

s = 5 - 1/4

= 4  3/4.

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