[tex] \: \: \: \: \: \rm \: 25x {}^{2} = - 25 + 50x[/tex]


Find possible values of x

Answers

Answer 1

Answer:

[tex]\boxed{\boxed{\sf x=1}}[/tex]

Step-by-step explanation:

[tex]\sf 25x^2=-25+50x[/tex]

Simplify both sides of the equation:-

[tex]\sf 25x^2-50x=-25[/tex]

Subtract 50x-25 from both sides:-

[tex]\sf 25x^2-(50x-25)=50x-25-(50x-25)[/tex]

[tex]\sf 25x^2-50x+25=0[/tex]

Factor left side of equation:-

[tex]\sf 25(x-1)(x-1)=0[/tex]

Set factors equal to 0:-

[tex]\sf x-1=0\: or\: x-1=0[/tex]

[tex]\sf x=1[/tex]

___________________

Hope this helps!

Have a great day!


Related Questions

All of the quadrilaterals in the shape below are squares. Find the area of the shaded
region.

Answers

Answer: I don't remember how to solve, but, I figured out the lengths of each side in the shaded region:

11, 11, 7, 7, 4, 4

Step-by-step explanation:

Hope this helps!! :D

Area of the shaded region is 105 units²

He learned an average of 130130130 new words per month when he lived in Portugal and an average of 150150150 new words per month when he lived in Brazil. In total, he learned 192019201920 new words.
How long did Wolfrich live in Portugal, and how long did he live in Brazil?

Answers

Answer:

He take 5 months in Brazil and 9 months in Portugal.

Step-by-step explanation:

Let us assume the number of months in Portugal be P

And, the number of months in Brazil be B

  So, the following equations are made

P + B = 14 ..............(1)

130P + 150B = 1920 .........(2)

We can easily write as  

P = 14 - B

Now put the value of P in the second equation

So,  

130(14 - B) + 150B = 1920

20B = 100

B = 100 ÷ 20 = 5

P = 14 - 5 = 9

 Hence, He take 5 months in Brazil and 9 months in Portugal.

draw the graph of y=_3x_4​

Answers

Answer:

I can’t tell if both number are positive, ones negative ect but here’s the answer if both are negativ, let me know if the numbers are negative or positive and I can come back and give ya the right answer! Xoxo

Step-by-step explanation:

Question 5 (1 point)
The perimeter of a rectangular patio is 80 feet. The length is 4 feet greater than the
width. What is the width, in feet, of the patio?

Answers

Answer:

18 feet

Step-by-step explanation:

Perimeter=2(l+b)

80=2(w+w+4)

80=2(2w+4)

80=4w+8

80-8=4w

72/4=w

W=18 feet

answer : 18 feet


explanation :

what is the area of this figure? 20 pts and brainliest!!!! neeed help asap!!!!!! due today!!!!
18 yd2
54 yd 2
72 yd2
90 yd2

Answers

Answer:

72yd^2

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

14*3 + 9*5

[someone help] The speed of the object 7 seconds after it is dropped is ___m/sec

Answers

9514 1404 393

Answer:

  68.6 m/s

Step-by-step explanation:

The speed at a given time is the derivative of the height at that time.

  dh/dt = -9.8t

At t=7, the speed is ...

  -9.8(7) = -68.6 . . . . . meters per second (downward)

The speed is 68.6 meters per second.

_____

Additional comment

Height is considered to be positive in the up direction, so velocity and acceleration are also positive in the up direction. The derivative of height will be the velocity. Its negative sign in this case indicates the object is moving in the downward direction. The speed is the magnitude (absolute value) of the velocity.

What is the coefficient of the second term in this expression?
6b+7b2+3+10c
please help thanks :D

Answers

Answer:

7

Step-by-step explanation:

A coefficient is the front number. A term is separated by the operators such as +, -, etc.

Rewrite 6 - 6 - 6 - 6 in exponential notation.

Answers

Rewriting 6-6-6-6 in exponential notation is -1.2×10¹

What is exponential notation?

Exponential notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form.

When writing in exponential notation, it must be in standard l i.e writing in this format 3.577× 10⁴ not 35.77× 10³.

Though both of the expression are literally correct but 3.577× 10⁴ is the acceptable way of writing a scientific notation.

similarly 6-6-6-6 will give -12

writing -12 in exponential notation is -1.2×10¹

Therefore the exponential notation of 6-6-6-6 is -1.2×10¹.

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8
TIME REMAININ
41:44
Which points are either in Quadrant ll or Quadrant IV of the coordinate plane? Check all that apply
(7.-10)
(0,2)
(8,9
(90).

Answers

Answer:

A

Step-by-step explanation:

sheeeeesh

Answer:(7.-10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

profits of calculess corporation this year were 140% of profits last year. if profits this year were $4900, what were profits last year.

Answers

The profits last year were $2041.66

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here, profits of calculess corporation this year were 140% of profits last year. if profits this year were $4900, then let the profit last year be x then we have 2.4x=4900

                            x=4900/2.4

                            x=2041.66

Hence, The profits last year were $2041.66

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Find the equation of the line with slope m=1/5 that contains the point (-10,-15)

Answers

Answer:

the equation with the slope m=1/5 that passes through point (-10,-15) is: y = -1/5x+15

PLEASE HELP ME PLEASE!

Answers

Answer:

Sample

Population

Step-by-step explanation:

Explain regent? its a term I've never heard of

What is the area of the shaded region?

Answers

Answer:

[tex] 21.5 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of the shaded region =Area of square with side 10 cm - Area of circle with radius 5 cm

[tex] = {10}^{2} - 3.14 {(5)}^{2} \\ = 100 - 3.14 \times 25 \\ = 100 - 78.5 \\ = 21.5 \: {cm}^{2} [/tex]

21.5 is the answer I got

help ME PLEASE ASAP DUE NOW

Answers

Step-by-step explanation:

{x : x < 100}

means all numbers smaller than 100. but that includes all negative numbers. so, NO.

{y|y > -0.1}

while this includes all positive numbers, it also includes all numbers between -0.1 and 0. e.g. -0.001

so, NO

{x|x in N}

N is the set of all natural numbers. that is the set of all positive integers.

so, YES

{y : 0 < y < 1}

that is all numbers between 0 and 1. that's are only positive numbers between 0 and 1.

so, YES

{x|x in Z}

Z is the set of all integer numbers (including the negative ones). so, NO

{y : 3 <= y < 22}

ask numbers between 3 and 22, including 3. there are only positive numbers, as there cannot be suddenly a negative number between 2 positive numbers.

so, YES.

Find the area of this circle 7cm and 3 for pi

Answers

Answer:

far   t more far     t

Step-by-step explanation:

I need the answer for 9 and 10

Answers

9.) Using elimination:

3x+6y=27

x+2y=11

The idea of elimination is to eliminate (cancel out) a variable so that only one variable exists. For example, if x is eliminated, then y is being solved, and if y is eliminated, then x is being solved. We must pick a variable in the system (x or y) and find a LCM that is the additive inverse, meaning the variables cancel out. Some example of an additive inverse: -5+5=0 and 6-6=0; it is the inverse (opposite) of addition (so subtraction) in which undoes the operation to cancel it out to zero. Likewise for subtraction to addition. So, let’s choose a variable, identify the LCM of the two same variables in both equations, and either negate or add the variables together so they cancel out to 0.

Let’s choose x:

The LCM of 3 and 1 is 3, so we only need to multiply the second equation by a factor. 1•-3=-3, so we’ll multiply the entire second equation by 3, and 3-3=0:

3x+6y=27

-3(x+2y)=-3(11)

Distribute and multiply:

-3x-6y=-33

Here is the new set:

3x+6y=27

-3x-6y=11

Now, simply add or subtract the two equations:

(3x-3x)+(6-6)=27+11

Simplify:

0+0=38

0=38

This is a false statement, and thus the system does not have any solutions, meaning the lines are parallel.

So, the answer is: No Solutions

what number comes 4 number before 6

Answers

Answer:

ummmmmmmmmmmmmmmmmmmm i forgot srry sugar

Step-by-step explanation:

Answer:

1 comes 4 numbers before 6

Step-by-step explanation:

1,2,3,4,5,6

/ / / /

Please help will mark Brainly

Answers

Answer:

x=4 and y=2

Step-by-step explanation:

You should use graph, point of intersection(for example point M(4,2) ) is solution

And we can conclude that x=4 and y=2

William is going to invest $400 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for William to end up with $460?

Answers

Answer:

1.75%

Step-by-step explanation:

Which decimal is closest in value to the fraction below?
NO
O A. 0.4
. B. 0.1111
O C. 0.222

Answers

Answer:

C.

Step-by-step explanation:

2/9 = 0.222....

Basically, the two's repeat forever - that's why C would be the correct answer

Hope that helps! :)

-Aphrodite

Tell whether the angles are complementary or supplementary. Then find the value of x.

Answers

The angles add up to 180° so the angles are supplementary.

The value of x is 31.

What are corresponding angles?

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

From the figure,

Two angles:

3x + 25  and 2x

These two angles form a straight angle.

Now,

3x + 25 + 2x = 180

5x = 180 - 25

5x = 155

x = 31

When the sum of two angles is 90°, then the angles are known as complementary angles.

When the sum of two angles is 180°, then the angles are known as supplementary angles.

Now,

3x + 25

= 3 x 31 + 25

= 93 + 25

= 118

2x

=2 x 31

= 62

Now,

118 + 62 = 180

Thus,

The angles are supplementary.

The value of x is 31.

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Need the full equation, will give Brainly :)

Answers

Answer:

5x+3

Hope this helps!

Which inequality represents the phrase "a number b is at least -16"?

Answers

Answer:

[tex]b \leqslant - 16[/tex]

Only x = -3 is less than -2.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following statement -

"A number b is at least -16"

Given is the following statement -

"a number b is at least -16".

We can write the given inequality as -

b ≥ - 16

Therefore, we can write the given statement as -

b ≥ - 16

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Which of the following points best represents the location of -1;
15.
ос
OD
Ов
ОА
+
-2
в с
0
on the number line?
D
2 +
2

Answers

A because u start from the -1 going backwards and where point A is just makes sense

Gain and his three friends want to share 1/3 of a cake equally. Gavin says that each friend will get 1/9 of the cake. Use the drop-down menus to explain wether or not Gavin is correct.

Answers

Gavin is incorrect. To find how much cake each person gets, divide 1/3 by 4 or multiply 1/3 by one-fourth. Therefore, each of the friends gets one-twelfth of the cake.

Good Luck!

help me pls i need it fastest for my math project !!!!!! please help

Answers

Part A

g(x) = 9.25x

g(8) = 9.25*8

g(8) = 74

He would make $74 before taxes if he worked 8 hours.

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

Part B

g(x) = 9.25x

g(14) = 9.25*14

g(14) = 129.50

He would make $129.50 before taxes if he worked 14 hours.

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

Part C

g(x) = 9.25x

g(27.5) = 9.25*27.5

g(27.5) = 254.375

g(27.5) = 254.38

He would make $254.38 before taxes if he worked 27.5 hours.

Answer:

Solution below.

Step-by-step explanation:

Solution

This question is basically asking you to substitute corresponding x values to find g(x).

Given the function from the question:

g(x) = 9.25x where x is the work hours and g(x) is the wages.

Given x = 8,

g(8) = 9.25 * 8 = $74.00

Given x = 14,

g(14) = 9.25 * 14 = $129.50

Given x = 27.5,

g(27.5) = 9.25 * 27.5 = $254.38 (rounded off to nearest cent)

NEED HELP!!!!!!!!! ASAP!!!!!!!

Answers

Answer:

¹31.5

Step-by-step explanation:

Area of trapezium= 1/2 ×h×(b1+b2)

A=1/2×3×(12+21)

A=31.5

Cluseposited $3,500 into a savings account 2 years ago. The simple interest rate is 4% how much
money did Liu earn in interest? What would the account earn in 10 years
The account and In interest


Pls help!!!

Answers

Answer:

Simple! She earned $280

Step-by-step explanation:

3500 x 2 x 4 = 28000/100 = 280

In 10yrs operating on the same frequency of rate, she's gonna earn;

3500 x 10 x 4 = 140000/100 = $1,400.

Therefore, $1400 dollars is what she's gonna earn in 10 years time.

The number of paid days off (e.g., vacation, sick leave) taken by 9 employees at a small local business is compared to the national average. You are hired by the new business owner to help her determine whether her employees take less days off than the national average, which is determined to be 13 days. The data for the 9 local employees during the last fiscal year are: 10, 11, 8, 14, 13, 12, 12, 11, 13. What is the effect size for these data and how should it be interpreted

Answers

Answer:

-0.80, is a large effect

Step-by-step explanation:

From the given information:

The mean of the sample = [tex]\dfrac{10+ 11+ 8+ 14+ 13+ 12+12+11+13}{9}[/tex]

= 11.556

Using Excel Formula:

The standard deviation = 11.8105

We are told that the population mean = 13

Thus, the effect size can be determined by using the formula:

[tex]Effect \ size = \dfrac{sample\ mean \ ( \bar x) - population \ mean \ \mu }{standard deviation (\sigma)}[/tex]

[tex]Effect \ size = \dfrac{11.5556 -13 }{1.8105}[/tex]

Effect size = -0.80

Thus, -0.80, is a large effect

1. Let

U = {(x, y, z) = R³ | x+y=2z = 0 = x - y},

and let

V = span {(1, 0, -1), (3, 1, 2)}.

Determine the dimensions of both U and V, proving your results.
Note that to prove the dimension, you should use the definition, which
means you need to find a basis. It is not enough to just state a basis,
you must explain why it is a basis.

Answers

The dimension of V is 2, and it is spanned by the basis vectors (1, 0, -1), (3, 1, 2).

The dimension of a vector space is the number of vectors in a basis for the space. To find a basis for a subspace of R³, we need to find a set of linearly independent vectors that span the subspace.

First, let's consider U. The subspace U is defined by the equations x + y = 2z and x - y = 0.

Solving these equations for x and y, we can express them in terms of z: x = 2z and y = -2z. Therefore, every vector in U can be written as (x, y, z) = (2z, -2z, z) = z(2, -2, 1).

Since z is a scalar, the vector (2, -2, 1) is the only vector needed to span the subspace U, which means that it is a basis for U.

Therefore, the dimension of U is 1, and it is spanned by the basis vector (2, -2, 1).

Now let's consider V. The subspace V is defined by the set of vectors that can be written as a linear combination of the vectors (1, 0, -1) and (3, 1, 2). We can start by showing that these vectors are linearly independent. Suppose that there are scalars a and b such that a(1, 0, -1) + b(3, 1, 2) = (0, 0, 0). Then we have:

a + 3b = 0

b = 0

-a = 0

Since a and b are real numbers, the above equation only holds if a = 0 and b = 0. This shows that (1, 0, -1) and (3, 1, 2) are linearly independent, and a basis of V.

Therefore, the size of V is 2, and it is traversed by the basis vectors (1, 0, -1), (3, 1, 2).

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