Solve the equation by completing the square. Round to the nearest hundredth if necessary? X^2+3x=24

Answers

Answer 1

x^2+3x=24, halve the linear coefficient, square it, and add it to both sides

In this case (3/2)^2=2.25

x^2+3x+2.25=26.25 now the left side is a perfect square...

(x+1.5)^2=26.25 take the square root of both sides

x+1.5=±√26.25 subtract 1.5 from both sides

x=-1.5±√26.25

x=-1.5-√26.25 and -1.5+√26.25

x≈ -6.62 and 3.62

Related Questions

Which expression is equivalent to 17x − 8x + 2 and why?

2 − 9x, because (17x − 8x) + 2 = −9x + 2 = 2 − 9x

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x

11x, because 17x − 8x + 2 = 9x + 2 = 11x
7x, because 17x − 8x + 2 = 17x − 10x = 7x

Answers

17x − 8x + 2 = 9x + 2 ...............combine like terms

answer

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x ............commutative property

Answer:

2 + 9x, beacuse (17x - 8x) + 2 = 9x+2

Step-by-step explanation:

Combine like Terms: 17x - 8x + 2=

9x+2

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve the following quadratic equation. 3(x + 5)2 = 60

Answers

The quadratic equation is 3(x + 5)^2 = 60

You solve it with these steps:

1) divide by 3:

(x + 5) ^2 = 60 /3

(x + 5)^2 = 20

2) extract square root

(x + 5) = +/- √20

3) subtract 5

x = - 5 +/- √20

Solutions: x = - 5 - √20 and x = - 5 + √20

f(x) = 7x − 13. Find f−1(x).

Answers

the inverse is when you reflect the function across the identity line, y=x

to find the inverse of a function flip switch all x and y and solve for y, then replace y with f inverse

f(x)=7x-13
y=7x-13
switch
x=7y-13
solve for y
x+13=7y
(x+13)/7=y

f inverse=(x+13)/7

quantity of x plus 13 over 7

what is 9 hours from now

Answers

4:19 AM is the time.

I got 5:21 AM as the time

A football player took forward and backward steps of equal length during the play.After taking 14 steps total , he was back at his starting position. How many steps did the football player take in the forward and backward directions? A.6steps forward and 8 backward B.7 forward 7 backward C.8 forward and 6 backward D.5 forward and 9 backward. I believe its B not sure

Answers

Yes, the answer is B) 7 steps forward and 7 steps back.
7+7=14
Hope this helps, please mark brainliest I am trying to move up a rank.

Answer:

the correct answer is B.

(Brainliest would also help)

;)

alicia bough 3.8 pounds of cashews for 15.74 about how much was cost per pound

Answers

It would be this 4.1421 since you divide 15.74 by 3.8 but since you round your answer would be $4.14 each

The perimeter of the following rectangle is 40 inches. What is the length of w?

Bottom: 14 in.
Side: Unknown

2.9 in.
6 in.
12 in.
26 in.

Answers

6 inches is the answer
P= 2( L+W)

Answer: 6 inches

Step-by-step explanation:

Given: The perimeter of the rectangle = 40 inches

Let the unknown side be w.

And the bottom side l=14 in.

We know that the perimeter of rectangle is given by :-

[tex]\text{Perimeter}=2(l+w)\\\Rightarrow40=2(14+w)\\\Rightarrow\frac{40}{2}=14+w\\\\Rightarrow20=14+w\\\Rightarrow\ w=20-14)\\\Rightarrow w=6\ in.[/tex]

Hence, the the length of w = 6 inches.

Is 7040 yards more than or less then 4 miles

Answers

Yes. In fact 7040 yards makes 4.000568 miles, which is more than 4 miles.

✏ Covert 7040 yards to miles. We know there are 1760 yards in a mile.

✏ 7040 = 4 miles

So 7040 yards is equal to 4 miles.

Hope that helps! -UF aka Nadia

Evaluate for C=3 and d=-5

(3c^2-3d)^2-1000

Answers

You replace the the variables c and d with 3 and -5 and get an answer of 764. Hope you can understand the work here!

Stumped on how to solve this one! The numbers just aren't making sense to me

Answers

30 = 3/5

so 1/5 = 10 miles

there are 20/5 in 4 inches

10*20 = 200

they are 200 miles apart

help What is the length of the unknown leg in the right triangle?

Answers

73 - 64 = 9
a = square root 9
a = 3

answer
3 ft

Pythagorean Theorem - a^2 + b^2 = c^2

C being the hypotenuse.

a = a

b = 8 ft

c = √73 ft

a^2 + 8^2 = √73^2

a^2 + 64 = 73

a^2 = 9

a = 3

A baker uses 5.5 lb of flour daily how many ounces of flour will he use in two weeks

Answers

1 pound = 16 ounces

16 * 5.5 = 88 ounces per day

88*7 = 616 ounces per week

616 * 2 = 1232 ounces in 2 weeks

The Baker uses 1,232 ounces in 2 weeks.
1 pound= 16 ounces.
16 ounces x 5.5 lb= 88
2 weeks=14 days
Now multiply...
88 x 14= 1,232 ounces

Sara used 3/4 pound of blueberries to make 1/2 cup of jam how many pounds of blueberries would she need to. make a cup of jam

Answers

she used 3/4 pound for 1/2 cup

so multiply 3/4 pounds for 1 cup

3/4 x 2 = 1 1/2 pounds

1 2/4 pounds cause 3/4=1/2cup already she just needed another 3/4

A number is multiplied by 2, and then the product is added to 9. The result is 49.

Answers

In order to solve this problem, use inverse operations. First subtract 9 from 49 to get 40, then divide 40 by 2 to get 20. So the original number it all started with was 20. You can check your work by following the instructions again. So 20*2=40, and 40+9=49.

Hope the explanation helped!

so here... 20x2=40+9=49

Answer this question, me and my partner have no idea what to do I'm very confused

Answers

The best answer is B.
With a box and whisker plot, 25% of the data goes from the leftmost point to the beginning of the box. The next 25% goes from the beginning of the box to the median, which is represented by the line in the box. The third 25% goes from the median to the end of the box, and the last 25% goes from the end of the box to the end of the line.
The middle 50% is the data within the box.

The median would be between 13 and 31. I know this because the line in the middle, surrounded by the same number of lines on each side is the median. The 1st line is 0. The second line is 25%. The 3rd line is 75%. Finally, the fourth line is 100%. I hope this helps.

Solve the equation
-3x+1+10x=x+4

Answers

-3x + 1 + 10x = x + 4
7x + 1 = x + 4
7x - x = 4 - 1
6x = 3
x = 3/6...which reduces to 1/2

Robert buys 3 pounds of bananas at $0.50 per pound and 3 pounds of apples at $1.00 per pound. Which of the following expressions represents the total cost of the fruit he bought (in dollars

Answers

Well I mean we know he spent a total of $4.50, but since we don't have any of the answer choices this is almost impossible.

Answer:

The answer is $3(0.50+1.00)

Step-by-step explanation:

Robert bought 3 pounds of bananas at $0.50 per pound which can be expressed as:

[tex]3*0.50[/tex]

And 3 pounds of apples at $1.00 per pound which can be expressed as:

[tex]3*1.00[/tex]

As Robert bought the apples and bananas, you can add both expressions:

[tex]3*0.50 + 3*1.00[/tex]

This expression can be factorized as:

[tex]3(0.50+1.00)[/tex]

[tex]3(1.50)[/tex]

Both expressions will give you the same result, which is $4.50.

I REALY NEED HELP!
A number line contains points Q, R, S, and T. Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.

25%
42.2%
50%
72.2%

Answers

This probability is going to be the length of segment ST divided by the length of QT so

P(ST)=(42-29)/(42-24)

P(ST)=13/18

As a percentage:

(p/100)=(13/18)

p=1300/18%

p=650/9%

p≈72.2% (to nearest tenth of a percent)

Answer:

The correct option is 4.

Step-by-step explanation:

It is given that Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42.

Total numbers lie on line QT is

[tex]42-24=18[/tex]

The numbers lie on line ST is

[tex]42-29=13[/tex]

The probability that a point chosen at random on QT is on ST is

[tex]P=\frac{\text{The numbers lie on line ST}}{\text{Total numbers lie on line QT}}\times 100[/tex]

[tex]P=\frac{13}{18}}\times 100[/tex]

[tex]P=72.222\approx 72.2\%[/tex]

The probability that a point chosen at random on QT is on ST is 72.2%. Therefore option 4 is correct.

How to find the y intercept when the slope is a fraction

Answers

The top number is your rise and your bottom number is your run and when you graph all the points on a graph the point that crosses the y-axis is your y-intecept.

The top number will always be your y

Describe how to model -3x + 7=28 with algebra tiles

Answers

Here you go! Sorry if it is sloppy.

The point (0, 2) is the only solution to the system of linear equations that contains the equations
y = x + 2 and y = -3x + 2. Choose the term that describes the set of equations.

Answers

Because there is only one solution to this system, this means that the system is consistent and it is independent

----------------------------------------------------

consistent = system has at least one solution

independent = each equation isn't reliant on the other; i.e. one equation doesn't completely overlap the other

Combine the two terms and they help describe any case where two lines cross at exactly one point. These two lines will have different slopes.

A cable is 7.1m long. How long is the cable in decimeters?

Answers

7.1meters x 10 = decimeters

the answer is 71. im pretty sure
hope this helps
have a good day

Evaluate ƒ(x) when x = -10

16
No solution
-7
-24

Answers

Hi!

There is no solution, because nobody defined f(x). There isn't enough information to solve the problem.

If it was f(x) = x + 26, the answer would be 16.

So the answer is no solution.

Hope this helps! :)

Answer:

NO SOLUTION Answer B

ASAPPPP!! Which statement best demonstrates why the following is a non-example of a polynomial? 33 over 16 xy − 62y−2xz − 35z2y2

A.The expression has a variable raised to a negative exponent.
B.The expression has a negative coefficient.
C.The expression has a variable raised to a fraction.
D.The expression has a variable in the denominator of a fraction.

Answers

A polynomial cannot have a variable raised to a negative exponent...so A is ur answer

Evaluate ab for a = 2 3/4 and b = 4/5

Answers

the answer will be 880/20 the simplified that is 44

A fabric store has 80 3/8 yards of a particular fabric. About how many pairs of curtains could be made from this fabric if each pair requires 4 1/8 yards of fabric? But My Answers are 20,25,15,and 30 Please Help Me?

Answers

20 because 19 16/33 is the exact answer. Since they ask about how much that can be rounded up to 20

The sum of the components of anything equals the whole thing. Which property/postulate does this statement represent?

Answers

The property that is being described in the statement "The sum of the components of anything equals the whole thing" would be the Partition Postulate. It is simply the whole is equal to the sum of its parts. For instance we have a line where it contains points W, X, Y and Z, then WX + XY + YZ = WZ.

Halle has 36 feathers, 48 acorns, and 60 agates. She wants to put all of these items into bowls with the same number of feathers, acorns, and agates in each bowl and none left out. What is the maximum number of bowls she can put the items into?

Answers

48-36 =12

60-48=12

36/12 =3

48/12=4

60/12=5

the maximum number of bowls is 12

Answer:

Step-by-step explanation:

A window has the shape of a rectangle with a semi circle at the top. Find the approximate area of the window using the dimensions shown.

2ft by 4ft

Answers

First, let's find the area of the semi-circle.
Area of a circle = π*r²
Looking at the rectangle, the diameter for the circle is 2 ft. Since we need the radius though, divide the diameter by 2 to get the radius.
r = 1
A = π * 1²
A = π * 1
A = π

But since it's a semicircle, you need to divide that area by 2.
3.14/2 = 1.57

The area of the semi-circle is 1.57.

Area of a rectangle = lw
l = 2
w = 4
A = 2 * 4
A = 8

The area of the rectangle is 8.

Now add those together to get the area of the entire figure.

1.57 + 8 = 9.57

The figure is about 9.57 square feet.

The approximate area of the window is 9.57 ft²

The figure is a composite shape. Therefore, the area can be described as follows:

Area of the composite shape:area = area of semi circle + rectangle

area of a rectangle = lw = 4 × 2 = 8 ft²

area of the semi circle = 1 / 2 πr² = 1 / 2 × π × 1² = 1.57 ft²

Therefore,

area of the window = 8 + 1.57 = 9.57 ft²

learn more on area of a composite shape here:https://brainly.com/question/15266169?referrer=searchResults

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1) A dealer sold 112 cars during the month of May and 96 during the month of June. What was the percentage of the decrease?
2) At an evening performance, 85% of the seats in a movie house was occupied. If 34 people attended this performance, what was the seating capacity of the movie house?
3) A merchant sold articles of clothing at 140% of what he paid for them. What did he pay for an article that he sold for $84?
4) A family spent 486 a week for food. This was 20% of its weekly income. What was its weekly income?
5) An agent sold 250 boxes of apples at $6.50 each. He charged a commission of 5%. What was his commission?
6) At the rate of $0.80 per $100, how much does it cost to insure a car against fire and theft for $1,650?

Answers

1- ((112-96)/112)*100% = 14.286%
sorry

1- not sure
2- 62 people?
3- I think it would be $33.60, or about $34
4- around $2430
5- not sure
6- not sure

I'm sorry if I wasn't very helpful, but I hope the ones I did understand are right!

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