40 points!!! please tell me how to do it not what the answer is :D

Answer:

Find a common denominator on the right side of the equation

Step-by-step explanation:

I was taking the test and couldn't find the answer to this question anywhere so let me help you out...  

abidemiokin provided a wonderful step-by-step explanation for solving the formula, but left out the actual answer for the question which is what I'm here for. I read through abidemiokin's explanation and reviewed my options before choosing the best answer. As you see in step 5 of my edited version of abidemiokin's explanation the missing step is there. In the provided question we see steps 1,2, 3, and 4 being identical to those in the explanation below. From this, it is clear the next step (step 5) would be the next step, and as it is one of the options we can trust that it is correct.

(If you still have doubts then trust the fact that I took the test and the answer I provided above was indeed correct.)

Given the quadratic equation ax²+bx+c = 0, to derive the quadratic formula from the equation, the following steps must be followed;

ax²+bx+c = 0

Step 1: Subtract c from both sides

ax²+bx+c-c = 0-c

ax²+bx = -c

Step 2: Divide both sides of the equation by a

ax²/a + bx/a = -c/a

x² + bx/a = -c/a

Step 3: Complete the square and add the quantity (b/2a)² times a squared to both sides

x² + bx/a +  (b/2a)² = -c/a +  (b/2a)²

Step 4: Square the quantity  b/2a on the right side of the equation

x² + bx/a +  (b/2a)² =  -c/a +  b²/4a²

Step 5: Find a common denominator on the right side of the equation which is 4a²

x² + bx/a +  (b/2a)² =  -4ac/4a² +  b²/4a²

Step 6: Add the fractions together on the right side of the equation

x² + bx/a +  (b/2a)² =  (-4ac+  b²)/4a²

Note: The fraction at the right-hand side of the equation is to be added together not multiplied as shown in the question.

Step 7: The equation on the left is to be written as a perfect square as shown

(x+b/2a)² =  (-4ac+  b²)/4a²

Step 8: Take the square root of both sides

√(x+b/2a)² = √ (-4ac+  b²)/4a²

(x+b/2a) =  √(-4ac+  b²)/2a

Step 9: subtract b/2a from both sides

x+b/2a - b/2a =  -b/2a + √(-4ac+  b²)/2a

x =  -b/2a + √(-4ac+  b²)/2a

Step 10: Add the fractions together on the right-hand side

x =  -b±√(-4ac+  b²)/2a

This gives the required equation

Answer: A  Find a common denominator on the right side of the equation

Step-by-step explanation: Took the test of FLVS

Answer:

3.625 is ans

Step-by-step explanation:

4.5+0.25_+1.125=3.625

Step-by-step explanation:

this is your answer sis ...

Answer:

32% of the students did not have a pet.

Step-by-step explanation:

From the total students (100%):

Answer:

the interest is 5.42

Step-by-step explanation:

Answer:

Interest = 5.42

Step-by-step explanation:

£99. semoga membantu maksih

Answer:

The answer is 99 dollars

Step-by-step explanation:

Not showing workout...

Just showing how

1) Multiply 1.1452 * 270

2) Multiply 0.89 * 270

3) Subtract the second step from the first step

Hope this helps....

Answer:

3x+5y=1025

x+y=275

Step-by-step explanation:

We can use system of equations to solve this problem. Let's use x for student tickets and y for adult tickets.

Equation 1

3x+5y=1025

This equation comes from the cost of tickets. Each child ticket costs $3 and each adult ticket costs $5. The total value of tickets sold is $1025.

Equation 2

x+y=275

The total amount of tickets sold was 275.

Answer:

question 3: 1/3 question 4: 5/7 question 5: 2/3

Answer:

1/3

5/7

2/3

Step-by-step explanation:

The numbers greater than 4 on a fair dice are 5 and 6.

2 numbers out of 6 or 2/6

2/6 = 1/3

Total parts = 7 + 12 + 18 + 5 = 42

12 are orange marbles.

42 - 12 = 30

30 marbles are red, yellow, and purple.

30/42 = 15/21 = 5/7

The numbers greater than 2 on a fair dice are 3, 4, 5, and 6.

4 numbers out of 6 total numbers.

4/6 = 2/3

Answer:

6/7 ÷ 3/14

= 6/7 × 14/3

= 2/7 × 14           (we cancelled 3 with 6)

=  2×2                (we cancelled 7 with 14)

= 4

hope it helps

Step-by-step explanation:

Answer:

[tex]\frac{6}{7} / \frac{3}{14} = \frac{6}{7} x \frac{14}{3} = (6)(14) / (7)(3) =\frac{84}{21} = 4[/tex]

Step-by-step explanation:

Hope this helps you!! ( BTW this means / Divide ).

Answer:

Look below

Step-by-step explanation:

8 boxes of toothpicks were given to at LEAST 25 students but 15 threw them out

8x= 8 boxes

At least 25= no less than 25 students

-15= the 15 that threw them out

x=boxes

the people= All real numbers

HOPE THIS HELPS!!!

Answer:

1 2 3 4

Step-by-step explanation:

Answer: −22+3

Step-by-step explanation:

Answer:

−22+3

Step-by-step explanation:

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

          = x^2 + 10x + 25 - 18

          = (x + 5)^ - 18

          = (x - (-5))^2 + (-18)

=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

Answer:

4

Step-by-step explanation:

Answer:

[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

Step-by-step explanation:

[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

The inverse of the linear function, f(x),  f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is  f⁻¹(x) = 3 (x -5) / 5

The inverse of a function is a function that reverses the effect the original function.

Here, we have,

The original function is; f(x) =5x/3 +5

The inverse of f(x) can therefore be found by making x the subject of the equation as follows;

f(x) = 5x/3 +5

f(x) -5 = 5x/3

(f(x) -5) 3 = 5·x

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

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

Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;

f⁻¹(x) =  3 ((x) -5) / 5

f⁻¹(x) = 3 (x -5) / 5

The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.

Learn more on the inverse of a function here: brainly.com/question/29652632

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Answer:

The frequency is 3 more than expected

Step-by-step explanation:

There are 3 favourable outcomes: {2, 4, 6}

There are 6 possible outcomes: {1, 2, 3, 4, 5, 6}

probability of the number cube landing on an even number = favourable outcomes / possible outcomes = 3/6 = 1/2

If the cube is rolled 30 times, it is expected that in 1/2*30 = 15 times landed on an even number. The frequency: 18 is 3 more than expected

Answer:

x≥-4

Step-by-step explanation:

-8x≤36-4

-8x≤32

x≥32/-8 when divide by minus you flip  from≤ to ≥

x≥-4

Answer:

x ≥-4

Step-by-step explanation:

-8x+4 ≤ 36

Subtract 4 from each side

-8x+4-4 ≤ 36-4

-8x ≤ 32

Divide by -8 remembering to flip the inequality

-8x/-8 ≥ 32/-8

x ≥-4

Answer:

33.33 %

Step-by-step explanation:

Difference:

=> 27 - 18 = 9

%age Increase:

=> [tex]\frac{9}{27} * 100 %[/tex]

=> 33.33 %

Answer:

33.3 %

Step-by-step explanation:

3x-9≤12

3x≤21

x≤7

-5x+10≤20

-5x≤10

x≥-2

Answer:

X = 4

Step-by-step explanation:

First, You need to rewrite the expression to look like this

9 - 3x = 12

An inequality basically means equals and the next step is to subtract 9 from both sides so it would look like this

3x = 12

Then divide both sides by 3 to get

x = 4

Answer:

The answer is given below

Step-by-step explanation:

Let the number of passengers that boarded the bus at the interchange be x.

At the first  bus stop, 1/4 of the passengers alighted the bus and 6 people boarded the  bus.

Therefore The number of passengers when the bus left the first bus stop = [tex]x-\frac{1}{4}x +6=\frac{3}{4}x+6[/tex]

At the 2nd bus stop, 8/15 of the passengers alighted and 10 passengers  boarded the bus.

Therefore The number of passengers when the bus left the second bus stop

[tex]=\frac{3}{4}x+6-\frac{8}{15}( \frac{3}{4}x+6)+10=\frac{3}{4}x+6-\frac{8}{20}x-3.2+10\\\\=\frac{7}{20}x+12.8[/tex]

Given that there were 24 passengers on the bus when it left the  2nd bus stop

[tex]\frac{7}{20}x+12.8=24\\7x+256=480\\7x=480-256\\7x=224\\x=32[/tex]

Therefore 32 passengers boarded the bus at the interchange

Answer:

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

2x+2>10

2x>10-2

x>8/2

x>4

Answer:

x^2 - 10 = (p - 9)(x)

Step-by-step explanation:

Please indicate exponentiation with the symbol " ^ ":  p(x) = x^2 - 1.

To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:

(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)

Answer:

A

Step-by-step explanation:

Answer:

Reduce every dimension except thickness by 20%.

The requried new dimensions of the candy bar are approximately 3.4775 cm in length, 2 cm in width (maintained), and 2 cm in thickness.

To find the dimensions of the new candy bar after reducing the volume by 20%, we need to determine the reduction in length and width.

Let's start by calculating the original volume of the candy bar using the formula: volume = length × width × thickness.

Original volume = 13 cm × 7 cm × 2 cm = 182 cm³

Since the management wants to reduce the volume by 20%, we need to find 20% of the original volume and subtract it from the original volume.

20% of 182 cm³ = 0.2 × 182 cm³ = 36.4 cm³

Reduced volume = 182 cm³ - 36.4 cm³ = 145.6 cm³

Now, we need to determine the new dimensions while maintaining the 2 cm thickness.

Let's assume the reduction in length and width is x cm for both dimensions.

The new volume can be calculated using the formula:
volume = (length - x) × (width - x) × thickness.

Setting this equal to the reduced volume, we have:

(13 - x) × (7 - x) × 2 = 145.6

Simplifying and rearranging the equation, we get:

(91 - 20x + x²) = 72.8

x² - 20x + 18.2 = 0

Using the quadratic formula, we can solve for x:

[tex]x = \dfrac{-(-20)\pm \sqrt{(-20)^2- 4(1)(18.2)}} {2(1)}\\x = \dfrac{20 \pm \sqrt{400 - 72.8}} {2}\\x =\dfrac {20 \pm \sqrt{327.2}} {2}[/tex]

x ≈ (20 ± 18.09) / 2

Taking the positive value, we have:

x ≈ (20 + 18.09) / 2

x ≈ 19.045 / 2

x ≈ 9.5225

Since the dimensions cannot be negative, we discard the negative value.

Therefore, the reduction in length and width is approximately 9.5225 cm.

To find the new dimensions, we subtract this value from the original length and width:

New length = 13 cm - 9.5225 cm ≈ 3.4775 cm

New width = 7 cm - 9.5225 cm ≈ -2.5225 cm (discard as it is negative)

Therefore, the new dimensions of the candy bar are approximately 3.4775 cm in length, 2 cm in width (maintained), and 2 cm in thickness.

Learn more about dimensions here:

https://brainly.com/question/31154493

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Answer:

a) 1/3

b) 7/9

Step-by-step explanation:

The first part asks for the probability that Matt takes the red counter.

There are 6 red counters out of total 6+4+8 = 18 counters.

6/18

Simplify the fraction.

= 1/3

The second part asks for the probability that the counter is not blue.

The counters that are blue are 4. Not blue becomes 18-4 = 14. 14 red or green counters out of total 18.

14/18

= 7/9

Answer:

Total outcome =  6 + 4 + 8 = 18

a) Probablity that the counter is red = 6/18 = 1/3

b) Probablity that the counter is blue = 14/18 = 7/9

Answer:

12, -3.7, ⅓

(2nd, 3rd and 5th option)

Step-by-step explanation:

Constants are numbers without any variables with it.

x and y are the variables here.

-8 is the coefficient of y and hence it is not a constant.

*the value of a constant will not change

Note that the constant includes the symbol too, hence it is -3.7 and not 3.7.

Answer: 2nd 3rd and 5th option hope this helps  

Step-by-step explanation:

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 300, 70 800

Step-by-step explanation:

Greatest is always the number with the most digits.

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 330, 70 800

Step-by-step explanation:

To answer this I simply needed to know the orders of numbers from ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, tens of millions, and hundreds of millions. You must also know which digits hold the most value.

[tex]1\\10\\100\\1,000\\10,000\\100,000\\1,000,000\\10,000,000\\100,000,000[/tex]

Answer:

The correct option is:

14 inches

Step-by-step explanation:

The question is incomplete because the picture of the flap is not shown in the question nor the measurements are given. First lets complete the question. The figure was this question is attached below.

We can see that the bottom width of the trapezoid is 9 inches, the top width of the trapezoid is 5 inches, and it has a height of 2 inches.

The area of trapezoid is given as:

Area = ((Top width + Bottom width)/2) · h

Area = ((9+5)/2) · 2

Area = (14/2) · 2

Area = 7 · 2

Area = 14 inch²

Answer:

14

Step-by-step explanation:

Answer:  C

Step-by-step explanation:

f(x) = x²

g(x) has the same vertex as   f(x) but is wider so has a vertical stretch by a factor of (1/3).

g(x) = (1/3)x²

Answer:

x = 8

Step-by-step explanation:

Let us take the breadth as 'x'

breadth = x

length = 3 + x

perimeter = 38m

perimeter of a rectangle = 2 ( l + b )

= 2( x + x + 3 ) = 38

4x + 6 = 38

4x = 38-6

x = 32/4

x = 8

breadth = 8

length = 11

Answer:

A, B, D

Step-by-step explanation: