Mathematics College

Fill in the blank with a number to make the expression a perfect square

2
x^ -10x+ what?

Answers

Answer 1

Answer:

Step-by-step explanation:

So basically remember that:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

so far you have that

[tex]a^2 = x^2\\2ab = -10x[/tex]

So if 2ab = -10x and a = x, that means 2xb = -10x so b = -5.

It's kind of confusing to think of it like that, but all that means is that the equation is:

[tex](x - 5)^2[/tex]

which would simplify to

[tex]x^2 - 10x + 25[/tex]

so the blank is 25

Answer 2

Answer:

your answer will be 25

Step-by-step explanation:

hope it helps

have a nice day

Related Questions

Statistics - Please Help!!!
The question is in the screenshot.

Answers

Answer: See the table below (attached image)

SSb = 2345SSt = 5639DFb = 5DFw = 54MSb = 469

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

Explanation:

I'll start at the right side of the table and work my way toward the left side.

I recommend you have a one way ANOVA formula sheet handy. Such a formula sheet should be located somewhere in the ANOVA chapter of your stats textbook, or toward the appendix section. There are various free online resources to search out as well.

On that formula sheet you should find that

(MSb)/(MSw) = F

where MSb and MSw are the mean squares between and within respectively.

We can find the value of MSb like so

(MSb)/(MSw) = F

MSb = F*MSw

MSb = 7.682*61

MSb = 468.602

This rounds to 469, so we'll go with MSb = 469. The reason I'm rounding is that I've done a similar problem in the past, and the computer system wanted me to round to the nearest whole number. Also, note how every value of the table given to us consists of whole numbers. Of course, your teacher may want you to keep the decimal value instead. So I would ask for clarification if possible.

Since we're going with MSb = 469, this means 469 goes in the last box of row 1.

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

Now go back to your reference sheet to locate this formula

MSw = (SSw)/(DFw)

Rearrange this formula to get

DFw = (SSw)/(MSw)

Now plug in the values we have from the table to find,

DFw = (SSw)/(MSw)

DFw = (3294)/(61)

DFw = 54 which goes in the box found in the second row.

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

Now recall that

DFb + DFw = df

where DFb is the degrees of freedom between and df is the total degrees of freedom, which in this case is 59.

Using the table and the value we found earlier, we can see that,

DFb = df - DFw

DFb = 59 - 54

DFb = 5 this goes in the second box of row one (ie above the 54).

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

Also on your formula sheet, you should see something like

MSb = (SSb)/(DFb)

where each lowercase 'b' stands for "between", and the other abbreviations are what were discussed earlier.

That formula rearranges into

SSb = (DFb)*(MSb)

Then we can use the values we calculated earlier to find

SSb = (DFb)*(MSb)

SSb = (5)*(469)

SSb = 2345 this goes in the first box of row one.

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

Lastly, computing the total sum of squares (SSt) will simply involve us adding the two SSb and SSw values to get

SSt = SSb + SSw

SSt = 2345 + 3294

SSt = 5639 this goes in the box of row three.

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

To summarize, we have these values to fill into the table

SSb = 2345SSt = 5639DFb = 5DFw = 54MSb = 469

where we have these abbreviations

SS = sum of squaresMS = mean squareDF = degrees of freedomb = betweenw = within

Check out the diagram below for the filled in values.

To summarize the formulas used, we basically have the template of

MS = (SS)/(DF)

for both between and within. And we also have the formula F = (MSb)/(MSw). So effectively, the values are found through various division formulas or rearrangements of such. I'm referring to working along any given row. For any given column, we add up the values to get the totals, though that of course does not apply to MS or F.

Admittedly, ANOVA tables and concepts can be confusing because there are a lot of variables and steps going on. But once you get used to it, it's not too bad if you can see how the patterns are emerging (the division and additions I was referring to earlier).

Please help me ASAP please

Answers

Answer:

297 cm²

Step-by-step explanation:

11x11=121

4x1/2x11x8=176

121+176=297

You are dealt a card from a standard 52 card deck , what is the probability of getting an ace

Answers

Answer:

0.1538

Step-by-step explanation:

Probability of being dealt with an ace of a 8 =

= Number of ace + number of an 8 in the deck / Total number of cards in the deck

= (4+4) / 52 = 8/52 = 0.1538

Therefore 0.1538 is the required probability here.

Answer:

[see below]

Step-by-step explanation:

There are four aces in a standard deck of cards.

[tex]\frac{aces}{cards}=\frac{4}{52}= 0.076923076923...[/tex]

0.076923076923... ≈ 0.077

0.077 = 7.7%

There is an approximate 7.7 percent chance that you will get an ace.

Hope this helps.

What is the value of x?

Answers

Answer:

Option A = 6

Step-by-step explanation:

3x- 5 = x+ 7 ( as diagonals r equal in a recangle)

3x-x = 7+ 5

2x = 12

x = 12/ 2 = 6

I hope im Right !!

we are working on solving system of equations by substitution. can you please explain how to get the answer for
5x+y=2
x+y=10

Answers

Answer:

try symbolab calculator it will give you a step by step explanation

Answer:

x= -2

y= 12

Step-by-step explanation:

5x + y = 2..................eqn 1

x + y = 10 ..................eqn 2

from eqn 1

5x + y = 2, u substitute by making 'y' the subject

y = 2 - 5x .................eqn 3

put eqn 3 into eqn 2

x + y = 10

x + 2 - 5x = 10

x - 5x = 10 - 2

-4x = 8

x = 8 / -4

x = -2

put x = -2 into eqn 1

5x + y = 2

5(-2) + y = 2

-10 + y = 2

y = 2 + 10

y = 12

if the length of a rectangle is 3 times of its breadth and perimeter is 96 cm find the length and breadth of the rectangle

Answers

Length=36 cm

Breadth/width=12cm

So the rectangle is 3x by x

We are given the perimeter, so well solve with that.

All four sides equal 3x+x+3x+x=8x

So 8x=96

When we solve for x, we get x=12

Since x=12, we know this is the breadth.

We know 3 times this is the length so:

12x3=36!

117
x
x + 3
Find the value of x.

Answers

Answer:

114 I believe........

Answer:

what?

Step-by-step explanation:

Helpppp and belive you can fly :D

Answers

Answer:

and I can believe that I can touch the sky : >

Step-by-step explanation:

i can belive that I can touch the sky

The graph shows a proportional relationship between a family's distance from home and the time they spent driving. What is the constant of proportionality? What does the point (1,49) represent?

Answers

Answer:

Step-by-step explanation:

Graph shows the proportional relationship between a family's distance from home and the time spent by them in driving.

Distance from home ∝ time

Distance from home = k(time)

Here 'k' = proportionality constant

For a point (1, 49) on the graph,

49 = k(1)

k = 49 miles per hour

And point (1, 49) will represent 49 miles in 1 hour.

Option (3) is the answer.

a cuántos gramos equivale y 250 gramos

Answers

Answer:

Me puedes dar más información?...Pliss

Answer: Para esto nesesitamos mas informasion asi no te la podemos responder cariño.

Step-by-step explanation:

y = 2x - 9
Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.
Slope:
y-intercept:

Answers

Oh gosh lol was so sad and he said oh okie so cute ☺️ oh okie so

Help me with this pls

Answers

Answer:

x = 34

Step-by-step explanation:

4x + 10 + x = 180

5x + 10 = 180

-10 -10

5x = 170

divide by 5

x = 34

_____________________

4(34) + 10

136 + 10

=146 and 34

The difference of two number is 3.Their sum is 13.Find the numbers

Answers

Answer:

8,5

Step-by-step explanation:

x-y=3

x+y=13

2x=16

x=8, y=5

Answer: 8 and 5

Step-by-step explanation:

x - y = 3

x + y = 13

------------------ (add the two equations)

2x = 16

x = 8

8 + y = 13 (substitute x as 8 into one of the equations)

y = 5

If you buy a 64 ounce carton of juice for 3.69, how much is the unit price to the nearest 10th of a cent

Answers

Answer:

£ 0.058

Step-by-step explanation:

Hope it is helpful....

Please help and don’t scam for points

Answers

Answer:

I'm guessing the equation would be 5x=30 and x would = 6

Step-by-step explanation:

5x = 30

5 5

x = 6

Is landing on an odd number on a 6 sided dice impossible,unlikely,equally likely,likely, or certain?

Answers

I would say equally likely because a 6 dice roll for odd numbers are 1,3,5 and for the even numbers they are 2,4,6 so that is like a 50 50 chance that you can get a odd or even number. So EQUALLY LIKELY is the best answer!

7.4 as a mixed fraction

Answers

7.4 in fix fraction will look like this:

[tex]7 \frac{2}{5} [/tex]

Simplify.
(-216) ^-1/4

Answers

Answer:14 or 0.25

Step-by-step explanation:

It’s basically already written there but decimal form is 0.25

Here is the picture

Answers

Answer: It's the first option

Step-by-step explanation: positive 2x because it is going up 2, 1 to the right (rise/run) and +5 because it touches the y-axis at 5. -2x because it's going down 2, 1 right (rise, in this case negative/run) and -2 because it touches the y-axis at -2.

Answer ASAP ASAP needed now

Answers

Answer:

Step-by-step explanation:

tanθ = opposite/adjacent ---> θ = arctan(opposite/adjacent)

opposite = 51

adjacent = 68

θ = arctan(51/68)

HELPPPPPPPPP PLEASEEEEEE
I WILLL MARK YOU BRILL

Answers

The third answer is the answer

it’s the third answer
s-10
taking 10 away from s is really just subtracting 10 from s.
:)

If 3n + 7 = 25, then find the value of the expression 8n - 3]

In ∆ DEF and ∆ XYZ, DE = XY, angle E = angle Y and EF = YZ. Name the
test of congruency by which both the triangles are congruent.

Answers

Answer:

n=6,

SAS,

Step-by-step explanation:

3n+7=25

3n=25-7

3n=18

n=18/3

n=6

_______________________________

ΔDEF is congruent to ΔXYZ

DE=XY(side)

<E=<Y (angle)

EF=YZ (side)

by SAS congruence criteria ΔDEF=ΔXYZ

_________________________

(Linear pair)

180°-117°

=63

Answer=63

I make $1,850 every two weeks after the government taxes me. Before taxes it’s $2,500. Tell me what percentage that is please.

Answers

Answer:

it would be dependent on wherre you live in the country give backround

Suppose that you borrow $3000.00 from a friend and promise to pay back $4935.00 in 3 years. What simple interest rate will you pay? The simple interest rate is % (Round to the nearest tenth as needed.)

Answers

Answer:

the simple interest rate is 18.00%

Step-by-step explanation:

The computation of the simple interest rate is shown below:

Amount = Principal × (1 + rate)^years

$4,935 = $3,000 × (1 + rate)^3

After solving it, the rate of percentage is 18.00%

Hence, the simple interest rate is 18.00%

help no unhelpful answers pls

Answers

Answer:

2. 24

3. 32.5

Step-by-step explanation:

base ∙ height

–––––––––– = answer

Just plug in your base number and height number and multiply, then divide by 2.

Please put in order smallest to largest.
1.real numbers
2.whole numbers
3.rational numbers
4.integers

Answers

1 integers
2 rational
3 whole numbers
4 real numbers

Brad and Terrence are working on some math problems. Today, Terrence completed 15 math problems. This is 3 more than twice the number of problems that Brad completed. A)Write an equation that can used to find , b, the number of math problems that Brad completed.

Answers

Answer:

2b + 3 = 15

b = 6

Step-by-step explanation:

Which is the graph of a logarithmic function

Answers

Second graph is a logarithmic function:))

Third-degree, with zeros of -2,-1, and 3, and passes through the point (2, 11).
Construct a polynomial function with the stated properties.

Answers

Answer:

[tex]P(x) = -\frac{11}{12}(x+2)(x+1)(x-3)[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Zeros of -2,-1, and 3

This means that:

[tex]P(x) = a(x - (-2))(x - (-1))(x - 3) = a(x+2)(x+1)(x-3)[/tex]

Passes through the point (2, 11).

This means that when [tex]x = 2, P(x) = 11[/tex]. We use this to find the leading coefficient.

[tex]P(x) = a(x+2)(x+1)(x-3)[/tex]

[tex]a(2+2)(2+1)(2-3) = 11[/tex]

[tex]-12a = 11[/tex]

[tex]a = -\frac{11}{12}[/tex]

So the polynomial is:

[tex]P(x) = -\frac{11}{12}(x+2)(x+1)(x-3)[/tex]

What value of x makes the equation below true? 6x − 7 = 26
A.5
B.5.5
C.6
D.6.5

Answers

Answer:

Step-by-step explanation:

6x-7=26

6x=33

x=5.5

Answer:

Step-by-step explanation:

I need more letters ssssjsjsks

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Fill in the blank with a number to make the expression a perfect square

2
x^ -10x+ what?