Solve (2x + 1) (2x + 6) - 7(x - 2) = 4(x + 1)(x - 1)-9x​

Answers

Answer 1

Answer:

x is equal to -34/16

Step-by-step explanation:

Hey there!

In order to solve for x, we need to first simplify everything

After simplifying, it will look like this:

[tex](4x^2+14x+16)-7x+14=4x^2-4-9x[/tex]

Now you can simplify by combining like terms

[tex]4x^2+7x+30=4x^2-9x-4[/tex]

You can cross out [tex]4x^2[/tex] from both sides and then simplify even more by again combining like terms

[tex]16x+34=0\\16x=-34\\x=-34/16[/tex]

So x is equal to -34/16

Answer 2

To solve the given equation, let's simplify and expand both sides:

[tex]\displaystyle\sf (2x+1)(2x+6)-7(x-2)=4(x+1)(x-1)-9x[/tex]

Expanding the brackets:

[tex]\displaystyle\sf (4x^{2}+13x+6)-7x+14=4(x^{2}-1)-9x[/tex]

Simplifying further:

[tex]\displaystyle\sf 4x^{2}+13x+6-7x+14=4x^{2}-4-9x[/tex]

Combining like terms:

[tex]\displaystyle\sf 4x^{2}+6x+20=4x^{2}-9x-4[/tex]

Subtracting [tex]\displaystyle\sf 4x^{2}[/tex] from both sides:

[tex]\displaystyle\sf 6x+20=-9x-4[/tex]

Bringing all the variables to one side and the constants to the other side:

[tex]\displaystyle\sf 6x+9x=-4-20[/tex]

[tex]\displaystyle\sf 15x=-24[/tex]

Dividing both sides by [tex]\displaystyle\sf 15[/tex] to solve for [tex]\displaystyle\sf x[/tex]:

[tex]\displaystyle\sf x=-\frac{24}{15}[/tex]

Simplifying the fraction:

[tex]\displaystyle\sf x=-\frac{8}{5}[/tex]

Therefore, the solution to the equation is [tex]\displaystyle\sf x=-\frac{8}{5}[/tex].

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

♥️ [tex]\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]


Related Questions

In the U.S. it is implied that two-year schools (community colleges) are “a bargain” compared to 4-year institutions. Complete a two-sample test. Test that the “average cost of state universities is greater than the average cost of community colleges”. To perform this test, you will use the average cost of in-state tuition from your sample data of state universities. ($10,472) You will also need to find the mean and standard deviation from the random sample of community colleges provided below. To find the mean and standard deviation for the community colleges data, plug the values into L1 and run 1-varstats. The mean is x-bar and make sure to use sample standard deviation, Sx. Assume variances are NOT equal as is done in the example on page 430. Complete a two-sample test at α = 0.05. WRITE AN INTERPRETATION OF YOUR RESULT. use either the p-value decision rule or rejection region. show all work by hand (If you establish in the hypothesis that 1 is the universities and 2 is community colleges make sure that your x-bar 1 and x-bar 2 also reflect those same categories. ) In hypothesis tests, I am looking for the correct conditions, hypotheses, model of either decision rule (draw out the normal distribution with correct shading of either p-value or rejection region), correct formula for the standardized test statistic with all values plugged in correctly, correct decision based on your p-value or standardized test statistic, and correct interpretation of your findings.
In-State Tuition

Amarillo College

2,538.00

Blue Ridge Community College

4,098.00

Bunker Hill Community College

3,384.00

Camden County College

1,650.00

Delta College

2,400.00

Eastern Wyoming College

2,280.00

Ellsworth Community College

3,960.00

Finger Lakes Community College

3,894.00

Granite State College

6,810.00

Massachusetts Bay Community College

3,624.00

Rock Valley College

2,970.00

San Antonio College

3,632.00

Answers

Answer: I got the same question, did u get the answer?

Step-by-step explanation:

A supposed "lucky coin" is to be tested to see if it is unfair, that is, the proportion of "heads" results is not 50%. It is
flipped 100 times and found to land on heads only 41 times. Test the claim that the coin is unfair.

Answers

Answer:

you need question right why you didnt ask

Step-by-step explanation:

you have brainly search

PLEASE HELP FOR EACH OF THE FIGURES, WRITE AN ABSOLUTE VALUE EQUATION

Answers

The solution set 0 and 8 are the true values of the absolute value equation

The absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3

How to determine the absolute value equation?

From the figure, the solution sets of the absolute value equation are given as:

x = {0, 6}

Calculate the mean of the solution set

Mean = 0.5 * (0 + 6)

Mean = 3

Calculate the difference of the solution set divided by 2

Difference = (6 - 0)/2

Difference = 3

The absolute value equation is the represented as:

|x - Mean| = Difference

Substitute known values

|x - 3| = 3

Hence, the absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3

Read more about absolute value equation at:

brainly.com/question/2166748

Answer:

|x-3|=3

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

y = 8 , x = 15

Step-by-step explanation:

[tex]\frac{24}{51}= \frac{y}{17} \\[/tex]

Cross Multiply.

51 * y = 24 * 17

Then solve for y.

[tex]y=\frac{24*17}{51}[/tex]

y = 8

Same thing for the x.

[tex]\frac{45}{51}=\frac{x}{17}[/tex]

Cross Multiply.

51 * x = 45 * 17

Solve for x.

[tex]x=\frac{45*17}{51}[/tex]

x = 15

All of the following are TRUE about CPR/AED EXCEPT:
A. CPR is used in emergency situations like a heart attack and near drowning.
B. CPR combines chest compressions and rescue breathing to increase the chance of survival.
C. CPR is guaranteed to keep a person alive until medical personnel arrive.
D. The use of an AED helps to restart the heart's natural rhythm.

Answers

Answer:

All are true except C. CPR is not a guarantee to keep someone alive till help arrives. Unfortunately some people die before help gets there regardless of the CPR.

Convert the unit of length. Round the answer to one decimal place if necessary. Assume 1 yd ≈ 0.914 m.
8m≈ yd
8m≈________ yd ?

Answers

Answer:

8.75

Step-by-step explanation:

I divided 8 by .914 and got and estimate of 8.75

Which statement is not true?
A. I7I = -7
B. I7I = 7
C. I5I= 5
D. I-5I = 5​

Answers

Answer:

a

Step-by-step explanation:

absolute value means the distance from 0 and it has to be a positive number so the answer has to be a

What was the most number of minutes someone took to eat breakfast? (type number only) *
.
0 1 2 3 4 5 6 7 8 9 10 11 12
Minutes To Eat Breakfast

Answers

I think it 10 minutes

I don’t understand how to do this! Could you help me step by step, please?

Answers

Answer: x=12

Step-by-step explanation: Combine Multiplied terms into a single fraction: 3 = 18 - 5/4 x      3 = 18 -  -5/4x

Find common denominator: 3= 18+ -5/4x    3= 4 x 18/4 + -5x/4

Combine fractions with common denominator:   3= 4 x 18/4 + -5x/4      3=4 x 18/- 5x/4

Define then compare and contrast diverges and converges.​

Answers

Answer:

Convergence is defined as the movement of two forces together while divergence implies the movement of two forces apart. In the world of economics, finance, and trading, divergence and convergence describe the directional relationship between two trends, prices, or indicators.

Dan needs to make a total of 25 deliveries this week So far he has completed 19 of them. What percentage of his total deliveries has Dan completed?

Answers

Answer:

76 percent.

Step-by-step explanation:

Answer:
76% of deliver Dan completed

Explanation:
19/25
19 out of 25


Hope it helps, Let me know if you have any other questions!
Have a nice rest do your day :)

find the equation of line that passes through the point (4,-5) and the slope 5/4

Answers

Answer:

[tex]\boxed{\sf{y=\dfrac{5}{4}x-10 }}[/tex]

Step-by-step explanation:

To find the equation of line, you have to use a slope and slope-intercept formula.

Slope formula:

[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

Slope-intercept formula:

[tex]\Longrightarrow:\sf{y=mx+b}[/tex]

M represents the slope.B represents the y-intercept.

So, the slope is 5/4.The y-intercept is -10.

Rewrite the problem down.

y=5/4x-10

So, the correct answer is y=5/4x-10.

I hope this helps you! Let me know if my answer is wrong or not.


Gifts are packaged in cylinders.
Each cylinder is 12 cm high with a diameter of 8 cm.
Calculate the volume of each cylinder.
Use 3 as a value for at
Give your answer using the correct units.

Answers

Answer:

Step-by-step explanation:

V = [tex]\pi r^{2} h[/tex]

V = (3.14)(16)(12)

V = 50.24 cm³

Determine the total length of the major and minor axes for the ellipse 25x^2+y^2=25
Will give brainliest

Answers

Answer:

Step by step Solution :-

25X^2 + Y^2 = 25

A) Finding X value :-

1. Subtract Y^2 from both sides:

25X^2 = 25 - Y^2

2. Divide both sides by 25 :

( 25X^2 ) ÷ 25 = ( 25 - Y^2 ) ÷ 25

3. Dividing by 25 undo the multiplication by 25 :

X^2 = ( 25 - Y^2 ) ÷ 2

4. Divide ( 25 - Y^2 ) by 25 :

X^2 = ( - Y^2 ÷ 25 ) + 1

5. Take Square Root for both sides of equation ( before & after (=) ) :

X = √ ( 25 - Y^2 ) ÷ 5

X = - √ ( 25 - Y^2 ) ÷ 5

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

Now that we knew what X value is, we'll figure out Y value too!

B) Finding Y value ( Finding Square Root ):-

Y^2 = 5√ ( 1 - X^2 )

1. Finding Square Root :

25X^2 + Y^2 = 25

2. Subtract 25X^2 value from both sides :

Y^2 = 25 - 25X^2

3. Take square root for both sides of equation :

Y = 5√ ( 1 - X^2 )

Y = - 5√ ( 1 - X^2 )


If two angles are complementary in a right triangle, then explain how you can find the
value of x if sin 440 = cos x using 2-3 sentences. In the last sentence, give the value of x.

Answers

Answer:

46°

Step-by-step explanation:

Points of note

two angles are complementary in a right trianglesin 44° = cos x°

Solving

The first thing to understand is "complementary" means that the two angles add up to 90°Therefore, 44 + x = 90x = 46°

Answer:

46°

Step-by-step explanation:

Complementary angles

Two angles whose measures sum to 90°

In a right triangle, the angle opposite the hypotenuse is always 90°.  

The interior angles of a triangle sum to 180°, therefore the other two angles are complementary angles since their sum is always 90°.  

So we can label one angle as [tex]x[/tex] and the other as [tex](90-x)[/tex].

The side opposite angle [tex]x[/tex] is the side adjacent to angle [tex](90-x)[/tex].

Therefore, using trig ratios, we can say that [tex]\sin(x) = \cos(90-x)[/tex]

So, if [tex]x=44[/tex] then:

[tex]\implies \sin(44) = \cos(90-44)=\cos(46)[/tex]

Select all of the expressions that have a value of 18.
A) 324 ÷ 18
B) 468 ÷ 26
C) 724 ÷ 40
D) 1,062 ÷ 59
E) 1,071 ÷ 60

Pls show work!!

Answers

Answer:

A,B,C

Step-by-step explanation:

Just divide them hope this helps x

i need help with this i will mark BRAINLIEST and give alot of points

Answers

Answer:

Below

Step-by-step explanation:

Diameter = 2r (r is radius) so the diameter is 40 inches

Circumference= 2pi r= 40pi or 125.663

Area= pi r^2= pi(20)^2= 400 pi pr 1256.637

Answer:

Diameter: 40 inches

Circumference: 40π, or ~125.66 inches

Area: 400π, or ~1256.64 inches

Step-by-step explanation:

Diameter is twice the radius, so 20×2 = 40 inches.

Circumference formula is C = 2πr, so plugging everything in, C = 2π×20,

and simplify, C = 40π, or C ≈ 125.66 inches.

Area formula is A = πr², so plugging everything in, A = π20², and then simplify, A = 40π, or A ≈ 1256.64 inches.

What is the simplest form of the quotient? Simplify by rationalizing the denominator.

[tex]\frac{\sqrt{3x^{12} y^{10}}}{\sqrt{5x^{6} y^{3}}}[/tex]

A. [tex]5x^{3} y^3 \sqrt{15y}[/tex]
B. [tex]\frac{x^3 y^3 \sqrt{15y} }{5}[/tex]
C. [tex]\frac{\sqrt{15x^{18} y^{13}}}{5x^6 y^3}[/tex]
D. none of these

Answers

Answer:

[tex]5x^{3} y^3 \sqrt{15y}[/tex] is the right answer and other are wrong


There is a juice bar at the gym. Fiona has a gift card that has a balance of $30. Each time she
buys a bottle of her favorite juice, $3 is deducted from her card. Chester also has a gift card.
The equation y=20 - 5x represents y, the balance, in dollars, left on his card after he has
bought x of his favorite bottles of juice.
Who had a greater initial amount of money on their card, Fiona or Chester? Whose balance
decreases at a faster rate every time he or she buys his or her favorite juice? Use the space
below for your work. Explain.

Answers

Answer:

y=mx+b. slopes.

Fiona's equation is y=-3x+30. She will have no money after buying 10 of her favorite drink. She starts with $30 and loses $3 each time. She loses at a slower rate than Chester.

Chester's equation is y=-5x+20. He will have no money after buying 4 of his favorite drink. He starts with $20 and loses $5 each time. He loses at a faster rate than Fiona.

Select all of the triangles below which are translations of triangle X. ​

Answers

All the triangles below which are translations of triangle X are,

⇒ A, B, D, E, F

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Since, A translation of a triangle is moving it up down or side to-side on the axis, not changing the shape flipping it or the orientation.

Hence, By all the graphs;

All the triangles below which are translations of triangle X are,

⇒ A, B, D, E, F

Thus, All the triangles below which are translations of triangle X are,

⇒ A, B, D, E, F

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ2

Answer:

A, F

Step-by-step explanation:

The only two images that are just translations of triangle X are A and F.

Triangles A and F are obtained by moving triangle X some combination of up, down, left, and right. That is just a translation.

All other triangles shown involve something else in addition to a translation such as a reflection, rotation, or dilation.

Answer: A, F

A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30).
Which statement describes the function through the points?

Answers

Answer:

They are all even

Step-by-step explanation:

Identify the vertex of this quadratic function

Answers

Answer:

Step-by-step explanation:Well first figure out the a b and c for ax^2+bx+c the apply by substituting using the quadratic formula.Then you should get youre answer.

Answer:

Your answer is -2,-3

Step-by-step explanation:

WILL GIVE BRAINLIEST PLEASE HELP FAST!! Write the function f(x)= 2x3+1+x2 x2−9 as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function.

Answers

f(x) = (2x³ + 1 + x²)/(x² + 9) as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function is f(x) = 2x³/(x² + 9)  + (1 + x²)/(x² + 9).

To answer the questions, we need to know what functions are

What are functions?

A function is a mathematical expression that shows the relationship between two variables.

Types of functionOdd functions - These are functions in which f(-x) = -f(x)Even functions - These are functions in which f(-x) = f(x)Neither - When the function is neither even nor odd.

Since f(x) = (2x³ + 1 + x²)/(x² + 9).

The odd part of f(x)

Its odd part g(x) = [f(x) - f(-x)]/2

So, g(x) =  [f(x) - f(-x)]/2

= [(2x³ + 1 + x²)/(x² + 9) - (2(-x)³ + 1 + (-x)²)/((-x)² + 9)]/2

= [(2x³ + 1 + x²)/(x² + 9) - (-2x³ + 1 + x²)/(x² + 9)]/2  

= (2x³ + 1 + x² + 2x³ - 1 - x²)/2(x² + 9)  

= 4x³/2(x² + 9)  

g(x) = 2x³/(x² + 9)  

The even part of f(x)

Its even part h(x) = [f(x) + f(-x)]/2

So, h(x) =  [f(x) + f(-x)]/2

= [(2x³ + 1 + x²)/(x² + 9) + (2(-x)³ + 1 + (-x)²)/((-x)² + 9)]/2

= [(2x³ + 1 + x²)/(x² + 9) + (-2x³ + 1 + x²)/(x² + 9)]/2  

= (2x³ + 1 + x² - 2x³ + 1 + x²)/2(x² + 9)  

= 2(1 + x²)/2(x² + 9)  

h(x) = (1 + x²)/(x² + 9)

So, f(x) = g(x) + h(x)

f(x) = 2x³/(x² + 9)  + (1 + x²)/(x² + 9)  

So, f(x) = (2x³ + 1 + x²)/(x² + 9) as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function is f(x) = 2x³/(x² + 9)  + (1 + x²)/(x² + 9).

Learn more about odd and even functions here:

https://brainly.com/question/26322830

Answer:

[tex]g(x)=\frac{2x^{3} }{x^{2} -9}[/tex]

[tex]h(x)=\frac{x^{2}+1 }{x^{2} -9}[/tex]

Step-by-step explanation:

'x² - 9' is an even.

Break up the numerator into odd an even parts to get your answer.

'2x³' is odd and 'x² + 1' is even.

[tex]g(x)=\frac{2x^{3} }{x^{2} -9}[/tex]

[tex]h(x)=\frac{x^{2}+1 }{x^{2} -9}[/tex]

Simplify the expression with nested parentheses.
430+ 26+6−33

Answers

Answer:

using bodmas.

6-33=-27.

430+26=456.

456-27=429

Test help picture below problem 19 21

Answers

Step-by-step explanation:

PROBLEM 19

(side 1)² + (side 2)² = (hypo)²

56² + (side 2)² = 61²

3136 + (side 2)² = 3721

(side 2)² = 3721 - 3136

(side 2)² = 585

side 2 = root 585

side 2 = 24.1867732449

side 2 = 24.2cm

E. Parallelogram

reason

opposite sides are parallel

MARK ME AS BRAINLIST

find the value of x 115 [5x+30]

Answers

Answer:

i assume the question is 115-5x=10

Step-by-step explanation:

if yes then the answer will be

-5x=125

-5x/-5=125/-5

x=25

It cost $4.68 for 3 pounds of chicken. What is the unit price? Solve

Answers

Answer:

$1.56

Step-by-step explanation:

4.68/3 = 1.56

Unit price is $1.56

Answer:1.56

Step-by-step explanation: 4.68/3=1.56

GIVING BRAINLIEST
What is the measure of angle x?

40 degrees
80 degrees
130 degrees
140 degrees

Answers

Answer:

140 degrees

Step-by-step explanation:

Since alternate angles are equal, corresponding angles are equal, a pair of interior angles on the same side of the transversal are supplementary, and angles on a straight line add up to 180 degrees, 40 + x must equal 180 degrees.

To find angle x in this instance, you would need to subtract 40 degrees from 180 degrees.

[tex]180-40=140[/tex]

Therefore, the answer is 140 degrees.

Answer:

my test said 140

Step-by-step explanation:

If your net pay, after a $142.00 automatic withdrawal, is $2,665.00, what percent of your net pay was withdrawn?

Answers

Answer:

Net pay = $142 + $2665 = $2807

Percent withdrawn = (withdrawal ÷ net pay) × 100%

                               = (142 ÷ 2807) × 100%

                               = 5.058781617...%

                               = 5.1% (nearest tenth)

IM STUCK CAN SOMEBODY HELP ME

Answers

Answer:

-16.15

Step-by-step explanation:

the variable in the equation means that it is ever changing, in this case, ever decreasing.

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