Find the solution set for this equation:
-a2+4a=0
(Separate the two values with a comma)

Answers

Answer 1

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: \{ 0,4 \}[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: - {a}^{2} + 4a = 0[/tex]

[tex]\qquad \tt \rightarrow \: - ( {a}^{2} - 4a) = 0[/tex]

[tex]\qquad \tt \rightarrow \: {a}^{2} - 4a = 0[/tex]

[tex]\qquad \tt \rightarrow \:a(a - 4) = 0[/tex]

The two cases are :

a = 0

or

a -4 = 0, that leads to a = 4

We can conclude :

[tex]\qquad \tt \rightarrow \:solution \: (a) = \{ 0,4\}[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer 2

[tex] \quad \quad \quad \quad\huge \tt \pink ❆ AnSweR \pink ❆[/tex]

[tex]\quad\quad \tt-a^2+4a= 0[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \quad\quad\tt⇢-1(a^2 - 4a) = 0[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\quad\quad\tt⇢-1(a-4)a = 0[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\quad\quad\tt⇢a-4=0[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\quad\quad\tt⇢a = 0[/tex]

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

[tex] \boxed{ \tt \blue{a = 0}}[/tex]

[tex]\boxed{ \tt\blue{a = 4}}[/tex]


Related Questions

When the birth rate in a population is greater than the death rate, the population will generally __________.
1. none of the choices
2. decrease
3. increase
4. not change

Answers

Answer:

3. Increase

Step-by-step explanation:

If more people are being born compared to the number of deaths, then you have population growth.

Answer:

3. increase

Explanation:

When birth rate is higher than the death rate, it is called natural increase.


The formula for natural increase is:

[tex]natural \space\ increase = \frac{Crude \space\ Birth \space\ Rate \space\ - \space\ Crude \space\ Death \space\ Rate}{100}[/tex]

Kenya worked from 2:00 pm to 11:00 pm and made $79.11. What was her rate of pay per hour?

Answers

Answer:

[tex]\huge\boxed{\sf \$ \ 8.79\ per\ hour}[/tex]

Step-by-step explanation:

Given that:

Work hours = 2:00 pm - 11:00 pm

This makes a total of 9 work hours.

So,

9 hours = $79.11

Rate of pay per hour:

Using unitary method

9 hours = $79.11

Divide both sides by 9

1 hour = $79.11/9

1 hour = $8.79

So, Kenya is being paid $8.79 per hour.

[tex]\rule[225]{225}{2}[/tex]

The measure of one a cite angle of a right triangle is 6 less than twice the measure of the other acute angle find the measure of each acute angle . Help quickly please

Answers

Answer:

32°, 58°

Step-by-step explanation:

Let one acute angle measure x.

The other acute angle measures 2x - 6.

The sum of the measures of the acute angles of a right triangle is 90.

x + 2x - 6 = 90

3x - 6 = 90

3x = 96

x = 32

2x - 6 = 2(32) - 6 = 58

Answer: 32°, 58°

can somebody help me with this

Answers

The sum of the expression (–x² + x) and (x² – 3x – 1) will be –2x – 1. Then the correct option is D.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression can be written as

(–x² + x) and (x² – 3x – 1)

Then the sum of the expression (–x² + x) and (x² – 3x – 1) will be

(–x² + x) + (x² – 3x – 1) = –2x – 1

Then the correct option is D.

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Subtract 7x+27x+2 from -5x^2-2x−5x 2 −2x.

Answers

Simplified value of  subtraction of 7x+27x+2 from -5x^2-2x−5x 2 −2x. is [tex]-10x^{2} -38x-2[/tex].

Given Expressions  7x+27x+2 and  -5x^2-2x−5x 2 −2x.

Expressions refers to the combination of numbers, variables and symbols. It represents the relationship between variables. They are solved for finding out the value of variables. It is mainly not in equal to form. Subtraction is possible when subtracting the coefficients of same variable.

We have to subtract 7x+27x+2 from -5x^2-2x−5x 2 −2x. and to do this we need to first solve the expressions itself.

7x+27x+2=34x+2------------------1

[tex]-5x^{2} -2x-5x^{2} -2x[/tex]=[tex]-10x^{2} -7x-2x[/tex]--------------------2

Now subtract 1 from 2

=[tex]-10x^{2} -7x-2x[/tex]-34x+2

=[tex]-10x^{2} -38x-2[/tex].

Hence the simplified value of subtraction is [tex]-10x^{2} -38x-2[/tex].

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Find the missing side the side of the triangle help

Answers

Answer: X = 12.1 units

Step-by-step explanation:

Solving the side x of the triangle just requires the Pythagorean theorem.

x^2 + 7^2 = 14^2

x^2 + 49 = 196

subtract 49 on both sides, to cancel the 49 on the left side.

x^2 = 147 units

extract the square root of each side.

X = 12.1 units

Hope I Helped!

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answers

The solution will be a number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

Inequality expression

Inequalities are equations that are separated by an equal sign. Given the inequality expression

3(8 – 4x) < 6(x – 5)

Expand

3(8) - 3(4x) < 6x - 6(5)

24 - 12x < 6x - 30

Collect the like terms

-12x - 6x < -30 - 24

-18x < -54

x > 3

Hence the solution will be a number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

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On a coordinate plane, triangle A B C is shifted 4 units up and 3 units to the left to form triangle A prime B prime C prime.
Use the figure to identify the correct rule for the translation.
(x, y) Right-arrow (x – 3, y + 4)
(x, y) Right-arrow (x + 3, y – 4)
(x, y) Right-arrow (x – 4, y + 3)
(x, y) Right-arrow (x + 4, y – 3)

Answers

In accordance with the definitions of rigid transformation and translation, the correct rule for the translation is defined by (x, y) → (x - 3, y + 4). (Right choice: A)

How to derive the mathematic expression behind a transformation rule

Mathematically speaking, transformations are rigid transformations that are modelled according to the following formula:

P'(x, y) = P(x, y) + (h, k)     (1)

Where:

P(x, y) - Original pointP'(x, y) - Resulting pointh - Horizontal rightward translationk - Vertical upward translation

Hence, a leftward translation indicates that h < 0. The correct rule for the translation is defined by (x, y) → (x - 3, y + 4).

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Answer:

a

Step-by-step explanation:

the picture

Please help will mark brainliest

Answers

Answer: y = -2/3x+23/3

Step-by-step explanation:

Parallel is the key point here. They gave points (7,3), 7 is the x value, 3 is the y value.

Take your equation

y = -2/3x+3 and substitute the 7 for the x value and 3 for the y value.

Like this...

3 = -2/3(7)+b

3 = -14/3 +b

Add 14/3 to 3

The answer is 23/3

So y = -2/3x+ 23/3

***Don't change -2/3 because it's asking for parallel***

***If 2 lines are parallel their slopes are equal***

( 64 ) -2/3 x ( 27 ) -2/3​

Answers

136/3 hope that helpsss

Which point is a solution to the inequality shown in this graph?

Answers

The answer is (5,-5)

A state seal, which is round, hangs in the capitol building. it has a radius of 2 feet. what is the seal's circumference?

Answers

Answer:

12.56637ft

Step-by-step explanation:

Formula: c=2π*r

c=2π*2 = 12.56637ft

find the value of x in the following parallegram 2x-10 2x+50

Answers

The value of x would be 35.

What is a parallelogram?

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

In order to calculate the value of x in the parallelogram, we have to find the following;

Let ∠m = 2x - 10

∠n = 2x + 50

So, ∠m + ∠n = 180

2x-10 + 2x+50 = 180

4x + 40 = 180

4x = 180 - 40

4x = 140

x = 35

Hence, the value of x is 35.

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Solve c= 5/9(F-32) for F

Answers

Answer:

F=9/5c+32

Step-by-step explanation:

c=5/9f-160/9

9c=5f-160

-5f=-160-9c

f=32+9/5c

f=9/5c+32

The function y=-x-3 is graphed only over the domain of (x1-8≤x≤ 8). What is the range of the graph?
O (v1-5≤ y ≤5)
O y 1-5 ≤ y ≤-1}
O (y|1 ≤ y ≤5}
Oy|1 ≤ y ≤-1)

Answers

Answer:

B) [tex]-5\leq y\leq -1[/tex]

Step-by-step explanation:

The range is the lowest point to the highest point on the graph.

Remember this:

1. domain (x-axis) LEFT –> RIGHT

2. range BOTTOM (y-axis) –> TOP

when this equation is graphed over the domain, it limits the range to being (8,–5) and (–8,–1) and since with range you only look at the y-coordinates that means that the range is [–5,–1]

Write an equation for the ellipse centered at the origin with a major axis 14 units long with co-vertices at (2, 0) and (-2, 0).

a. x^2/14 + y^2/8 = 1

b. x^4/2 + y^4/49 = 1

c. x^2/4 + y^2/49 = 1

d. x^2/7 + y^2/2 = 1

Answers

The equation for the ellipse centered at the origin is C. x²/4 + y²/49 = 1.

How to illustrate the information?

Let the equation of the ellipse be:

x²/b² + y²/a² = 1

The co vertices are at (2, 0) and (-2, 0). The major axis is 14 units. Therefore, 2a = 14. This implies that a = 7 and a² = 7 × 7 = 49.

Therefore, since x²/b² + y²/a² = 1, this will be x²/4 + y²/49 = 1.

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Can someone help me on these problems and show work

Answers

The simplified expression are as follows;

6mn³ - mn² +  3mn³ + 15mn² =  9mn³ + 14mn²

a⁴b³ + 8a⁴b³  = 9a⁴b³

How to simplify an expression?

A simplified expression is express to its lowest term.

Therefore,

6mn³ - mn² +  3mn³ + 15mn²

combine like terms

6mn³  +  3mn³ - mn² + 15mn²

9mn³ + 14mn²

a⁴b³ + 8a⁴b³  = 9a⁴b³

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Charlie's Pizzeria made 11 thin-crust pizzas and 24 thick-crust pizzas. What is the ratio of the number of thin-crust pizzas to the total number of pizzas? Charlie's Pizzeria made 11 thin - crust pizzas and 24 thick - crust pizzas . What is the ratio of the number of thin - crust pizzas to the total number of pizzas ?​

Answers

Answer:

11:37

Step-by-step explanation:

11 thin-crust pizzas

11+24=37 total pizzas

=>11:37

What is the solution to the following system of equations?

Answers

Answer:

no solution

Step-by-step explanation:

The lines do not intersect

Julissa works in the warehouse of a large online retailer. On Tuesday from 9:00 a.m. to 3:00 p.m., she found that she had walked 20,458 steps preparing orders to be shipped. Approximately how many steps did she walk each hour?
3,409.6 steps
3,409.ModifyingAbove 6 with bar steps
4,091.6 steps
4.091.ModifyingAbove 6 with bar steps

Answers

The number of steps that Julissa walked each hour is 3409.6 steps per hour.

How to calculate the number of hours?

According to this question, Julissa works in the warehouse of a large online retailer. She walked 20,458 steps on Tuesday from 9:00 a.m. to 3:00 p.m.

9:00 a.m to 3:00pm is 6 hours difference. This means that Julissa walked 20,458 steps in 6 hours.

Therefore, Julissa walked 20,458 steps ÷ 6 = 3409.6 steps per hour.

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Answer:

it's A

Step-by-step explanation:

Which expression is equivalent to -21.8 - (-18.3)?
O-21.8+18.3
-21.8-18.3
21.8+18.3
21.8-18.3


GUYS PLS HELP ME

Answers

The expression equivalent to -21.8 - (-18.3) would be option A; -21.8+18.3.

What are equivalent expressions?

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple.

The given expression is

-21.8 - (-18.3)

So, open the bracket and distribute the negative;

-21.8  (+18.3)

Thus, the expression equivalent to -21.8 - (-18.3) would be option A; -21.8+18.3.

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Answer: A

Step-by-step explanation: –21.8 – (–18.3) = -3.5 and –21.8 + 18.3 = -3.5

What is the condition that causes an infinite geometric series to have no sum? Explain why
this is true.


please help!!

Answers

This only happens when the ordinary ratio is greater than one, the terms of the sequence will get bigger and bigger, and if you add larger numbers you won't get a definitive answer.

Yosef drove 12,900 miles last year. His truck's fuel efficiency averages 15 mpg, and the average cost of gas last year was $2.95 per gallon. Determine Yosef's average weekly fuel cost

Answers

Yosef's average weekly fuel cost would be $2537.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Yosef drove 12,900 miles last year. His truck's fuel efficiency averages 15 mpg.

Karla used 12900/15 = 860 gallons to drive 12900 miles.

The average cost of gas last year was $2.95 per gallon.

Therefore, Yosef's average weekly fuel cost would be

2.95 x 860 = $2537

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Which parabola will have one real solution with the line y = x - 5?

Answers

Answer:

y=x^2+7x+4

Step-by-step explanation:

because the sign before x^2 is positive, the graph would concave up, if there's only one intercept, it has to be the vertex. the vertex is the critical point.

solve every make the derivative of each function equals zero, you get the x where the vertex shall be, then get this"x" into y=x-5 see if the y in y=x-5 is equal to y=x^2+6x+9 or other options.

let me give u an example.

for y=x^2+x-4, the critical point shall be 2x+1=0,x=-1/2, and the y is -4.25,

if you plug x=-1/2 into y=x-5, it's -5.5, -5.5 doesn't equal to -4.25

Answer:

D

Step-by-step explanation:

y = x2 + 7x + 4

Find m∠1. lol yeah that's it

Answers

The two inside angles add up to the external angle's total. The m∠1 will be 69°. Option D is correct.

What is angle measurement?

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

From the exterior angle property, the sum of the exterior angle is the sum of the two interior angles.

The m∠1 will be 69°.

Hence, option D is correct.

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Measure of angle AEB= ___ degrees

m
m< ACB= ___ degrees

(Picture is attached below :) )

Answers

By the inscribed angle theorem, [tex]m\angle AEB=30^{\circ}[/tex] and [tex]m\angle ACB=30^{\circ}[/tex].

what is the length of DE?

Answers

The answer is 6.
Because 12/1.5= 8
And 9/1.5= 6
Thus, the answer is 6

A machine fills bags with sweets.
There are 4275 sweets.
There are 28 sweets in each full bag.
The machine fills as many bags as possible.
How many sweets are left?

Answers

Answer:

19

Step-by-step explanation:

Given:

Total number of sweets = 4275Number of sweets per full bag = 28

To find how many full bags of sweets the machine can fill, divide the total number of sweets by the number of sweets per full bag:

⇒ 4275 ÷ 28 = 152.6785714...

Therefore, the machine can fill 152 full bags.

To calculate how many sweets are left, subtract the product of the number of full bags and the number of sweets per bag from the total number of sweets:

⇒ 4275 - (152 · 28)

⇒ 4275 - 4256

⇒ 19

Therefore, there are 19 sweets left after the machine has filled as many bags as possible.

the answer has to be as a fraction​

Answers

Answer:

49/100

Step-by-step explanation:

So you can find the area of shaded area by finding the area of the circle inside the entire circle that has a diameter of 3 cm and 4 cm and then find the area of the most inner circle which only has a diameter of 4 cm and then subtract these 2. After that you want to find the area of the entire circle and then divide the area of the shaded area by the entire circle. The formula for the area of a circle is given as: [tex]\pi r^2[/tex]

Area of the two "inner" circles of a diameter of 4 and 3 cm. This gives you an entire diameter of 7 cm with a radius of 3.5. The area of this circle is [tex]\pi(3.5)^2[/tex] which is [tex]12.25\pi[/tex].

The area of the most inner circle only has a diameter only 4 cm. The radius is 2, thus the area of this circle is [tex]\pi (2)^2[/tex] which is [tex]4\pi[/tex]. Now subtract this from the 12.25 pi to find the area of the shaded area. This gives you the equation: [tex]12.25\pi-4\pi[/tex] which equals [tex]8.25\pi[/tex].

Now to find the area of the entire circle you add up all the "diameters" which gives you 4 cm + 3 cm + 3 cm = 10 cm. So the radius is 5. This gives you the equation: [tex]\pi(5)^2[/tex] which is equal to [tex]25\pi[/tex].

Now to find the fraction of circle that is shaded we divide the area of the shaded area and the area of the entire circle. This gives you the equation: [tex]\frac{12.25\pi}{25\pi}[/tex] but since it wants it as a fraction, I'm assuming it wants integers in the decimal and numerator place. So we can represent 12.25 as 12 + 1/4. And then convert the 12 into 1/4ths by multiplying by 4 and then adding that to the numerator. This makes the fraction [tex]\frac{49}{4}=12.25[/tex]. So now all we have to is divide the two values: [tex]\frac{\frac{49}{4}}{\frac{25}{1}}[/tex]. If you're wondering where the pi's when you can just cancel them out since they're both in the numerator and denominator. Now all we have to do is keep the 49/4, change the operator to multiplication, and flip the 25/1 to 1/25. This gives you the equation: [tex]\frac{49}{4} * \frac{1}{25}[/tex] which becomes [tex]\frac{49}{100}[/tex] which is the answer

Graph the exponential model
y = 3(6)^x Which point lies on the graph?

(-9 2)
(2, 9)
(- 1, - 18)
(1, 18)

Answers

(1,18)

Let's verify

18=3(6)118=3(6)18=18

Verified

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