What is the value of C that will make the expression a perfect square trinomial? x2−10/3x+C

Answers

Answer 1

Answer:

  C = 25/9

Step-by-step explanation:

Consider the perfect square trinomial ...

  (x -a)² = x² -2ax +a²

The constant (a²) is the square of half the x-coefficient.

For your trinomial, the square of half the x-coefficient is ...

  C = ((-10/3)(1/2))² = (5/3)² = 25/9


Related Questions

Solve 7! (Factorials) please help I suck at math :(

Answers

Answer:

7! = 5040

Step-by-step explanation:

7! is a factorial expression that can be solved as follows:

7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

Therefore, 7! = 5040

During second period, Bonnie completed a grammar worksheet. She got 18 out of 20 questions correct. What percentage did Bonnie get correct?

Answers

Answer:

90% correct

Step-by-step explanation:

You want to make calculating easy and to do this, you multiply write out 18 out of 20 like a fraction, 18/20, and multiply both the numerator and the denominator by 5 because 20*5 = 100. 18*5 = 90. 90/100 is the same thing as 90%. Hope this helps!

please help!!! show an explanation too :-)

Answers

Answer:

x = 32

Step-by-step explanation:

3x -4 + 3x -8 = 6x -12

6x-12 = 180

in an equation, you do the same to both expressions

6x -12 +12 = 6x. 180+12 = 192

6x / 6 = x. 192 / 6 = 32

x = 32

what is the ratio of 4:5​

Answers

8:10 and/or 12/15 I’m writing this bc my answer has to be a certain length xd

A bag contains 12 identical marbles consisting of an equal number of red, green and yel low marbles. A marble is picked at random from the bag. a) Are all the outcomes equally likely? Give a reason for your answer?​

Answers

Answer:

yes the outcomes are equally likely

Step-by-step explanation:

12 = red yellow green

12 = 3

12/3

4

red balls are 4

yellow balls are 4

green balls are 4

so the outcome is equal for all the colour of the balls

Translate the sentence into an equation.

Nine more than the quotient of a number and 8 is equal to 5.

Answers

Answer:

x/8 + 9 =5

Step-by-step explanation:

Quotient is division and I decided to use x as my number so the first part is x/8. Then you do the nine more because more is addition to whatever is after it in our case it is x/8 so now you have x/8 + 9. Then it says equals 5 so the equation is x/8 + 9 = 5

I hope this helps!

What is the image of the point. (6, – 7) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer:

(-6,7)

Step-by-step explanation:

The rotation is 180 degrees, so its means that the direction (clockwise vs counterclockwise) doesn't actually matter. With a rotation of 180 degrees, the preimage is switched to the opposite side of both the y and x-axis. This means that the rule for rotation around 180 is (-h,-k). Therefore, the answer will have the opposite signs. Thus. the image of (6,-7) is (-6,7).

Answer:

(-6, 7)

Step-by-step explanation:

the original and new points are both six units above/below the x-axis and 7 units to the right/left of the y-axis

a boat is 180 in Long in private plane is 85% longer than the boat how long is the plane

Answers

Answer:

The length of the plane is 333 in.

Step-by-step explanation:

Plane length = (1.85)(Boat length)      

The 0.85 in (1.85) above represents the added length; the (1.85) represents the length of the boat PLUS 0.85 time the length of the boat.

Plane length is (1.85)(Boat length) = 1.85(180 in) = 333 in

The length of the plane is 333 in.

Please help please please

Answers

Answer: Profit

Step-by-step explanation:

1.  She made profit

2. She got 300 more than what she bought it for.

3. Her percentage was I think 25% more ( i am not sure on this one)

Profit. :) hope this helped

-9+(-14)=??

please help!

Answers

Answer:

-23

Step-by-step explanation:

Help me with this question.

Answers

Answer:

The equation for the nth term of the arithmetic sequence is:

[tex]a_{n} = a + (n-1)d\\[/tex]

The [tex]a_{30}[/tex] is 140

Step-by-step explanation:

"a" represents the first term which is -5.

"d" represents the common difference which is 5.

To find the common difference, just subtract the 2nd and 1st term.

0 - (-5) = 5

Now put the values in the equation:

[tex]a_{n} = a + (n - 1)d\\a_{n} = (-5) + (n - 1)5[/tex]

We are finding the 30th term so just put 30 to the "n" to help us find the 30th term of the sequence.

[tex]a_{30} = -5 + (30-1)5\\a_{30} = -5 + (29)5\\a_{30} = -5 + 145\\a_{30} = 140[/tex]

So the 30th term is 140

PLS HELP NEED THIS IN 1 HOUR 25 POINTS!!!!
The function below represents the annual interest Alexander earns on a savings account. Identify the term that represents the amount of time that the money is accruing interest.

f(x) = 500(1 + 0.02)x

500
1
0.02
x

Answers

Answer:

500: starting amount

(1 + 0.02): interest/growth rate

x: time

Step-by-step explanation:

PLS HELP RN ASAP!!!!

Answers

Answer:

3b

Step-by-step explanation:

Guys need help with c,f,g,j

Answers

Answer:

Step-by-step explanation:

Choose the expression that correctly compares 0.501 and 0.051

Answers

Answer:

0.501>0.051

Step-by-step explanation:

Answer:

0.501 > 0.051

Step-by-step explanation: blah

Please help me :) Im only giving brainliest to correct answers, and No LiNkS.

Answers

Gravity is measured in squares units..

Using the other units given, meters and seconds, gravity would be : meters per second squared

Answer:

meters per second

Step-by-step explanation:

can someone help mee pleaseee

Answers

f(x) = x^2 - 13x + 30

Step-by-step explanation:

A quadratic equation may be expressed as a product of the two binomials. The roots of the equations are 3 and 10, so the factors are (x-3) and (x-10).

f(x) = (x-3)(x-10)  

f(x) = x^2 - 13x + 30

What is the measure of ABC

Answers

B please mark branliest

Answer:

60°

Step-by-step explanation:

the degrees of a triangle equal up to 180° so 60 + 60 = 120, 180 - 120 = 60

A machine paints 340 toy boats in 45 minutes. Which expression equals the unit rate per minute?

Answers

Answer:

7.55556 toy boats per minute

or

340 = 45x

Step-by-step explanation:

340 = 45x

340/45 = 45x/45

7.55556 = x

7.55556 toy boats per minute

1 Analyze Alana used the table of values to find the slope of the graph for this function.
Analyze her work and explain why you do or don't agree with her.
x
х
N
4.
6
00
у
4.
5
6
7
m= 6-2 - or2
=

Answers

Step-by-step explanation:

From the table of values, it is clear that Alana chose the points (2,4) and (6,6). She also used this formula to find the slope:⤵⤵⤵

(sorry if it's a bit small btw)

[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]

She plugged in her values like so:

[tex] \frac{6 - 2}{6 - 4} [/tex]

But, right away we can tell that she put the values in the wrong places, because the y-values are supposed to be on top while the x-values are supposed to be on the bottom. Yet in this case, you can see that the 2 is an x-value, meaning she put it on the top, and thus the slope is wrong.

The correct way would be if she switched them around, where the y-values are on top and the x-values are on the bottom. With this in mind, the slope would actually be 2/4 which if you simplify it, it would be 1/2.

This is essentially your answer, feel free to use some of my words, if need.

Hope this helps :)

simplify:
16a^2 ÷ a + 3a × 2
and
8x − 3 + 6x

Answers

Answer:

36a and 2x-3.that is the answer

What is the value of the discriminant, b2
about the number of real solutions the equation has?
4ac, for the quadratic equation 0 x^2 - 4x + 5, and what does it mean
about the number of real solutions the equation has ?
The discriminant is -4 , so the 2 equation has 2 real solutions.

The discriminant is -4, so the equation has no real solutions.

The discriminant is 35, so the 2 equation has 2 real solutions

The discriminant is 35 , so the equation has no real solutions.

Answers

Answer: Choice B

Discriminant = -4; no real solutions

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

Explanation:

The given quadratic is x^2-4x+5, which is the same as 1x^2-4x+5

We see that

a = 1

b = -4

c = 5

The discriminant is

d = b^2 - 4ac

d = (-4)^2 - 4(1)(5)

d = 16 - 20

d = -4

The discriminant is -4. The negative discriminant means that we have no real solutions. Instead, the two solutions are nonreal complex values in the form [tex]a+bi[/tex] where [tex]i = \sqrt{-1}[/tex]

Answer:

The discriminant is -4, so the equation has no real solutions.

Step-by-step explanation:

The discriminant of the quadratic polynomial [tex]ax^2 + bx + c[/tex] with [tex]a\not= 0[/tex] is:

[tex]\Delta = b^2 -4ac[/tex]

So our variables are:

[tex]a = 1[/tex]

[tex]b = -4[/tex]

[tex]c = 5[/tex]

Replacing in the formula for find the discriminant we have:

[tex]4^2 - 4(1)(5) = 16 -20 = -4[/tex]

Now if  you remember the quadratic formula is the next

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

The discriminant appear inside a square root that's meaning that is impossible have negative values inside an even root (in the real numbers).

If we try to find the square root of negative 4 that's meaning find a number that multiply by itself give me -4.

[tex]2 \cdot 2 = 4\\-2 \cdot -2 = 4[/tex]

How you can see is impossible get the solution of a negative base (the base is the number inside the root) when is an even root. In a general case this would be of the next form:

[tex]\sqrt[2n]{-a} = \text{not found}[/tex]

For this we can assure that doesn't exist solutions in the real numbers,  so the equation has no real solutions.

evaluate the fractions and show your complete solution. And express your answer in lowest term.


9. 3 2/10 - 1/4 = n


10. 2 5/6 - 3/4 = n


please help me with this thanks.

Answers

Answer: 9. n = 2  19/20                                                                                         10. n = 2 1/12

Step-by-step explanation: 3 2/10-1/4 = n                                                           32/10−1/4                                                                                                               32/10+−1/4                                                                                                           16/5+−1/4                                                                                                                 64/20+−5/20                                                                                                         n = 59/20                                                                                                               n = 2 19/20                                                                                                             2 5/6-3/4 = n                                                                                                         17/6-3/4                                                                                                                   17/6+-3/4                                                                                                               34/12+-9/12                                                                                                             n = 25/12                                                                                                               n = 2 1/12                                                                                                                                                                                                                                  

The volume of this rectangular prism is 80 cm (small number 3) Use the volume formula to determine the height of this prism.​

Answers

Answer:

Finding the volume of a rectangular prism is a straightforward task - all you need to do is to multiply the length, width, and height together: Rectangular prism volume = length * width * height. Where can you use this formula in real life? Let's imagine three possible scenarios: You bought a fish tank for your golden fish . It's in a regular box shape, nothing fancy, like a corner bow-front aquarium. If …

Step-by-step explanation:

What is the solutions of the system of equations?
SOS PLS HELP

Answers

Answer:

B) (-8, -6, 1)

There are a lot of steps and I don't want to spend the time writing it all out... sorry. :')

Hope this helps :)

Identifying values in the domain PLS HELP

Answers

(F)(x) is your answer there you go

A cyclist travels 5.3 km in 30 minutes. What is his average speed in km/h?​

Answers

Answer:

10.6 km/h

Step-by-step explanation:

avg. speed in km/h literally tells us how much distance (in km) the cyclist travels in an hour. An hour happens to be double that of 30 minutes, so the distance will be double of 5.3km. The distance over an hour is 10.6km, so the speed is 10.6km/h.

Alternatively, you can simply divide distance by time:

5.3km / 30min = 5.3km / (1h / 2) = 5.3km * 2 / 1h = 10.6km/h

Answer:

hope this helps

Step-by-step explanation:

5.3 km 3.293 miles so the average speed would be 6.59 mph

PLS HELP ME 20 points in total if it let me pick brainlist

Answers

Answer:

Its D because the 1=1 and 2=2 + Fish

Step-by-step explanation:

easy one - giving brainly if correct - show work.
answer as many as you can!​

Answers

Answer:

41. - 0.8

42. - 2.375

43. - 0.625

44. - 0.833

45. - 3.667

46. - 0.5

Step-by-step explanation:

Before reading this, every integer represents the whole amount, like 1 is 1 of something, 2 is 2 of something, 3 is 3 of something, and 4 is 4 of something.

1/5 = 0.2

1 - 0.2 = 0.8

1/4 = 0.25

1/8 = 0.125

1 + 1 = 2

0.25 + 0.125 = 0.375

2 + 0.375 = 2.375

3/8 = 0.375

1 - 0.375 = 0.625

2/3 = 0.667

1/2 = 0.5

4.5 - 3.667 = 0.833

1/2 = 0.5

1/6 = 0.167

2 + 1 = 3

0.5 + 0.167 = 0.667

3 + 0.667 = 3.667

1/4 = 0.25

0.25 x 2 = 0.5

Brainly?

Find the perimeter. Simplify your answer.

Answers

it would be 4b-4, as you add all the sides
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