1. When 36 is subtracted from the square of a number, the result is five times the number. Create and solve an equation to find the possible values of this number. ​

Answers

Answer 1

Answer:

[tex]x^{2} -36 = 5x[/tex]

[tex]x^{2} -5x -36 =0[/tex]

(x-9)(x+4) = 0

x = 9 or x= -4    

Step-by-step explanation:


Related Questions

Who hates math? I'm not too fond of math, but I love numbers.

Answers

I am math lover .Before I am also not too fond of math , but if you practiced it will be easy and you loves to do maths and your interest will increase .Sorry for late Answer of attachment will be 5190.

hope it is helpful to you

Answer:

your answer will be 5,190

Step-by-step explanation:

fist you have to subtract 80 from 599 and u will get 519 then you multiply to get the answer

I am also not so good in Math so I still try to help u

Find The Measure Of D

Answers

Answer:

138 Degrees

Step-by-step explanation:

Because it is adjacent to the 42 degrees, just subtract 42 from 180 to get 138 degrees.

Answer:

D+42*=180*

D=180-42

138

Step-by-step explanation:

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the slope of line (-1,1) (2,-5)?

Answers

Answer:

slope = 4/3

Step-by-step explanation:

(-1 , 1) = (x1 , y1)

(2 , 5) = (x2 , y2)

slope (m) = y2 - y1/x2 - x1

=5 - 1/2 - (-1)

=4 /2+1

=4/3

13-?=7-2x
In the equation above what must ? be so that x has value of 2

Answers

Answer:

? = 10

Step-by-step explanation:

13 - (10) = 7-4 ....... 2×2 =4

3 = 3

Help me solve this problem please

Answers

Answer:

actually what is this is you is this a geometry, trigonometry I don't know what to call


Two numbers have a sum of 124
Write in algebraic expression

Answers

Answer:

Step-by-step explanation:

Let one number = x

Let the other number = y

x + y = 124

You can't go any further than that without more information.

The good news is that no number is excluded.

x = 248

y = -124 for example

Which of the following statements is true for this distribution? (No calculations are required to answer this question.)
50
60
70
80
O A Mean > Median
O
B. The relationship between the mean and median cannot be determined from the display.
O
C. Median > Mean
O D. Mean = Median

Answers

Answer:

The t distribution can be used when finding a confidence interval for the population mean whenever the sample size is small.

Hence, the correct option is A.

To estimate the population mean we use a t-distribution to calculate the confidence interval. When we use a t-distribution the sample standard deviation is used to estimate the population standard deviation

What is the slope of the line on the graph below?
5
4
3
4
1
54 321
1 2 3 4 5 X
wy
-
0

Answers

Answer:

positive slope

Step-by-step explanation:

when a graph is sloping to the right it means it has a positive . the gradient of this straight is positive .

gradient of the line is greater than 0

The slope of the line is m = 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 3 )

Let the second point be Q ( 0 , 1 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 3 - 1 ) / ( 1 - 0 )

m = 2

Therefore , the value of m is 2

Hence , the slope is 2

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which statment descirbes the soloution to a equation
a+5(2a-1)+3=11a-2

Answers

Answer:

Any real number.

Step-by-step explanation:

I dunno what you're asking, but Im assuming you need what a equals to.

[tex]a+5(2a-1)+3=11a-2\\a+10a-5+3=11a-2\\11a-2=11a-2\\[/tex]

The answer is any real number.

A girl runs 2 km in 1 hour . How long will she take to ran 500 m ?

Answers

Answer:

1/4 he

Step-by-step explanation:

Answer:

1/4 hour

Step-by-step explanation:

convert 2 km to m

1 km = 1000m

2 km = 2*1000 m

=2000 m

distance                                                            time taken

2000 m                                                                   1 hour

500 m                                                                          let be x

2000/500 = 1/x

do cross multiplication

500*1 = 2000*x

500/2000 = x

1/4 = x

Given the linear equation
[tex]5x+3y-9=0[/tex]
.​

Answers

y=mx +b, alright let’s go.

5x+ 3y -9 = 0
First off, b and mx are on the wrong side so you correct this by adding nine and subtracting 5x.

5x-5x + 3y -9 + 9 = 0 -5x + 9

3y = -5x + 9

you need y not 3y so divide 3y by 3 and you have to do it on both sides

3y/3= -5x/3 + 9/3

y= -5/3x + 3 is your answer please check before hand.

Drag the items to complete the sentences about the end behavior of the exponential function graphed.

Answers

Answer:

as x --> oo, f(x) = oo (infinite)

as x -- -oo, f(x) = 3

line m is perpendicular to line n if the slope of line m is 3/2 what is the slope of line n

Answers

Answer:

definantly 3/2

Step-by-step explanation:

perpendicular means same slope

Recall that variables represent changing values. In this unit, you will work with
equations that contain two different variables. What types of situations might be
modeled with equations containing two or more variables? If the value of one variable
changes, must the value of the other variable change for the equation to remain true?
How would the number of solutions for an equation with two variables differ from the
number of solutions for an equation with only one? Explain




Answers

Answer:

It depends on the equations and the variables.

Example of an equation in 2 variables with infinitely many solutions:

sin2x - cos2y + cos2x - sin2y = 0

Example of an equation in 1 variable with 2 solutions:

(x - 1)(x - 2) = 0

Example of 2 equations in 2 variables with no solution:

The intersection of the lines given by

y = 3x + 1

y = 3x + 2

Example of an equation in 1 variable with 1 solution:

5x - 4 = 15

Example of an equation in 1 variable with no real solution:

x2 + 49 = 0

We can go on and on with examples like this. The question is way too general.

Step-by-step explanation:

please mark as brainliest

please mark as brainliest

At 7am the temperature was -4 degrees. by 3pm the temperature had gone up by 10 degrees. what was the temperature at 3am

Answers

Answer:

6 degrees

Step-by-step explanation:

[tex] - 4 + 10 = 6[/tex]

Answer:

6 degrees

Step-by-step explanation:


Helppp and explain please and ty ;)

Answers

Answer:

Does this seem right to you?

the measures of the angles of a triangle are shown in the figure. solve for x

Answers

Answer:

solution,

x+41+59=180⁰ ( the sum of total angle of triangle is 180⁰)

or, x+ 100=180

or, X=180-100

so , X=80

Step-by-step explanation:

let us check

59+41+80=180

A textbook store sold a combined total of 361 chemistry and biology textbooks in a week the number of chemistry textbooks sold was 45 more than the number of biology textbooks sold.how many textbooks of each type were sold?

Answers

Answer:

Chemistry Books- 203 and Biology Books- 158

Step-by-step explanation:

I'm not sure myself how I did it since I don't have an exact method but I can guarantee that the answer is correct. (Quick sum-up of what I kinda did though. Divide both numbers by 2, then added (22, about half of 45), add 180 (about half of 361) and then subtracted 202 from 361. Realized that it was one off so I just made it 203 and 158)

Sorry for the mess of an explanation but hope it helps!

what is the equation of the parabola with focus (-1/4,-2/3) and directrix y=3/4?
A. y = -x^2 +8x -7
B. y = -1/2x^2 +14/5x +17/53
C. y = -6/17x^2 - 3/17x +1/51
D. y = -1/6x^2

Answers

Given:

Focus of the parabola = [tex]\left(-\dfrac{1}{4},-\dfrac{2}{3}\right)[/tex]

Directrix of the parabola is [tex]y=\dfrac{3}{4}[/tex].

To find:

The equation of the parabola.

Solution:

The equation of the parabola is:

[tex](x-h)^2=4p(y-k)[/tex]             ...(i)

Where, (h,k) is vertex, (h,k+p) is focus and [tex]y=k-p[/tex] is the directrix.

It is given that the focus of the parabola is at [tex][/tex].

[tex](h,k+p)=\left(-\dfrac{1}{4},-\dfrac{2}{3}\right)[/tex]

On comparing both sides, we get

[tex]h=-\dfrac{1}{4}[/tex]

[tex]k+p=-\dfrac{2}{3}[/tex]            ...(ii)

Directrix of the parabola is [tex]y=\dfrac{3}{4}[/tex]. So,

[tex]k-p=\dfrac{3}{4}[/tex]             ...(iii)

Adding (ii) and (iii), we get

[tex]2k=-\dfrac{2}{3}+\dfrac{3}{4}[/tex]

[tex]2k=\dfrac{-8+9}{12}[/tex]

[tex]k=\dfrac{1}{12\times 2}[/tex]

[tex]k=\dfrac{1}{24}[/tex]

Putting [tex]k=\dfrac{1}{24}[/tex] in (ii), we get

[tex]\dfrac{1}{24}+p=-\dfrac{2}{3}[/tex]

[tex]p=-\dfrac{2}{3}-\dfrac{1}{24}[/tex]

[tex]p=\dfrac{-16-1}{24}[/tex]

[tex]p=\dfrac{-17}{24}[/tex]

Putting [tex]h=-\dfrac{1}{4},k=\dfrac{1}{24}, p=-\dfrac{17}{24}[/tex] in (i), we get

[tex]\left(x-(-\dfrac{1}{4})\right)^2=4\left(-\dfrac{17}{24}\right)\left(y-\dfrac{1}{24}\right)[/tex]

[tex]\left(x+\dfrac{1}{4}\right)^2=-\dfrac{17}{6}\left(y-\dfrac{1}{24}\right)[/tex]

[tex]x^2+2(x)(\dfrac{1}{4})+(\dfrac{1}{4})^2=-\dfrac{17}{6}\left(y-\dfrac{1}{24}\right)[/tex]

[tex]-\dfrac{6}{17}\left(x^2+\dfrac{1}{2}x+\dfrac{1}{16}\right)=y-\dfrac{1}{24}[/tex]

On further simplification, we get

[tex]-\dfrac{6}{17}(x^2)-\dfrac{6}{17}(\dfrac{1}{2}x)-\dfrac{6}{17}(\dfrac{1}{16})=y-\dfrac{1}{24}[/tex]

[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x-\dfrac{3}{136}+\dfrac{1}{24}=y[/tex]

[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{-9+17}{408}=y[/tex]

[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{8}{408}=y[/tex]

[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{1}{51}=y[/tex]

Therefore, the equation of the parabola is [tex]y=-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{1}{51}[/tex]. Hence, the correct option is C.

10. What are the coordinates of point on the directed segment from A(2,-3) to B(8,-6) that
partitions the segment such that AC:CB is 4:2?
(1) (6,-5)
(3) (2,0)
(2) (-2, 2)
(4) (1, 1)

Answers

Answer:

(4, -4)

Step-by-step explanation:

Using the midpoint formula;

M(X,Y) = {(ax1+bx2)/a+b, (ay1+by2)/a+b}

X = (ax1+bx2)/a+b

Y = (ay1+by2)/a+b

Substitute

X = 4(2)+2(8)/4+2

X = 8+16/6

X = 24/6

X = 4

Also

Y = 4(-3)+2(-6)/6

Y = -12-12/6

Y = -24/6

Y = -4

Hence the required partition is (4, -4)

Fill in the blank. Given O below, you can conclude that SO is congruent to ___​

Answers

Answer:

AO

Step-by-step explanation:

Find √10 yo the nearest hundredth

Answers

Answer:

√10 = 3.16

Step-by-step explanation:

using calculator

√10 = 3.162277660168379

Hundredths is the second decimal place.

Since the next decimal place is less than 5

there is no need to round up

√10 = 3.16

On the last day of a Shakespeare class, an English teacher asked her students which play
they liked the best, and she recorded the results to date.
2 liked Hamlet
8 liked Twelfth Night
2 liked a Midsummer Night's Dream
What is the experimental probability that the next student to respond likes Hamlet best?
Write your answer as a fraction or whole number

Answers

Answer:

ok so if we add this up we get that there is 14 kids in the class who have been polled and 2/14 or 1/7 likes hamlet so the chance is 1 out of 7

The experimental probability that the next student to respond likes Hamlet best is [tex]\frac{1}{6}[/tex] .

Concept:Probability = [tex]\frac{Favourable \ Outcomes }{Total \ Outcomes}[/tex]To find total outcomes, we will add all the students.To find the favorable outcomes, we will count the number of students that likes hamlet.

How to solve the given question?Probability = [tex]\frac{Favourable \ Outcomes }{Total \ Outcomes}[/tex]Total Outcomes = 2 + 8 + 2 = 12Favorable outcomes = 2∴ [tex]P(E) = \frac{Favourable \ Outcomes }{Total \ Outcomes} = \frac{2}{12} =\frac{1}{6}[/tex]

Thus, the experimental probability that the next student to respond likes Hamlet best is [tex]\frac{1}{6}[/tex] .

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A car left the house traveling north at 10 A.M. Another car left the house traveling south two hours later. If the cars traveled at the same rate and were 550 miles apart at 4 P.M , what was the rate of each car.

Answers

Answer:

55 mph

Step-by-step explanation:

answer choices:
a. 111
b. 69
c. 86
d. 71

Answers

Answer:

b

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 1 is an exterior angle of the triangle , then

∠ 1 = 30° + 39° = 69°

Answer:

option b:  69°

Step-by-step explanation:

the sum of the interior angles of a triangle is 180c.

that is, 39 + 30 + x = 180

                          x = 180 - 39 - 30

                          x = 111°

∠ 1 + x = 180°            [ straight line angles ]

∠1 + 111° = 180°

∠1 = 180 - 111 = 69°

Help




Will

Give


Brainlist

Math

Answers

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

╭⋟───────────────

Sentence The product of - 11 & - 7 gives 77.

Equation [tex]\boxed{-11(-7)=77}[/tex].

───────────────⋞╯

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] RainbowSalt2^{2}2^{2}[/tex] ❦

Answer:

-11(-7) = 77

Step-by-step explanation:

"and" = multiplication sign in maths

if f(x)=x-3/x and g(x) = 5x – 4, what is the domain of (fog)(x)?​

Answers

Answer:

x = 4/5 is the one x value that is not permitted.  The domain of (fog)(x) is

(-infinity, 4/5) ∪ (4/5, infinity)

Step-by-step explanation:

(fog)(x) is the "composition" of f and g.  We start with f(x) and replace x with g(x), which is 5x - 4:

              3

f(x) = x - ------- becomes

               x

                                          3            

f(5x - 4) =     [5x - 4]  -  ------------

                                      [5x - 4]

To identify the domain, consider the value or values of x for which the denominator shown above is zero:  5x - 4 = 0, or 5x = 4, or x = 4/5

The domain of the composite function (f·g)(x) in interval notation is (-∞,0)∪(0,∞).

What is domain and range of the function?

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

The given functions are f(x)= x-3/x and g(X)=5x-4.

Now, (f·g)(x)=f(x)×g(x)

= (x-3/x)(5x-4)

(f·g)(x)= 5x²-15-4x+12/x

Find the domain by finding where the expression is defined.

Interval Notation: (-∞,0)∪(0,∞)

Set-Builder Notation:{x|x≠0}

Therefore, the domain of the composite function (f·g)(x) in interval notation is (-∞,0)∪(0,∞).

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pls tell the answer in step by step

Answers

Answer:

5

Step-by-step explanation:

here,  the highest degree is 5 so the degree of polynomial is also 5.

What is the monthly net income?? Show work plz

Answers

More info please! I cannot solve it

a rectangle is twice as long as it is wide and its perimeter is 432cm
a) work out the dimensions of the rectangle.
b) work out the area of the rectangle.​

Answers

Answer:-

Let

Width of rectangle=xLength of rectangle=2xPerimeter=432cm

We know that in a rectangle

Perimeter=2(Length+Breadth)

[tex]\\ \sf\longmapsto 2(x+2x)=432[/tex]

[tex]\\ \sf\longmapsto 2x+4x=432[/tex]

[tex]\\ \sf\longmapsto 6x=432[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{432}{6}[/tex]

[tex]\\ \sf\longmapsto x=72[/tex]

[tex]\\ \sf\longmapsto 2x=2(72)=144[/tex]

Length=144cmBreadth=72cm

☆Area=Length×Breadth

[tex]\\ \sf\longmapsto Area=144\times 72[/tex]

[tex]\\ \sf\longmapsto Area=10368cm^2[/tex]

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