Find the equation of the axis of symmetry for this function
F(x)= 5x^2 - 3x + 5

Answer:

9/10

Step-by-step explanation:

first you find the lowest common denominator. 1/2 becomes 5/10, 2/5 becomes 4/10. 5/10+4/10=9/10

Answer:

This is khan answear

Assign a number to each student, and use a computer program to generate 150150150 random numbers between 111 and 150015001500. Ask those students whose numbers are selected.

Step-by-step explanation:

Answer:

Assign a number to each student, and use a computer program to generate 150 random numbers between 1 and 150. Ask those students whose numbers are selected.

Step-by-step explanation:

Answer: irrational number

Step-by-step explanation:

4π is an irrational number.

The number 4π is an irrational number. An irrational number is a number that cannot be expressed as a fraction. In this case, 4π is the product of the rational number 4 and the irrational number π. Since π is an irrational number, their product, 4π, is also an irrational number.

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mixed fraction​​ [tex]16\frac{2}{3}[/tex]

Step-by-step explanation:

Decimal Form: 16.666667

Answer:

$103.75

Step-by-step explanation:

we know that

Karen earns $62.25 for working 9 hour

so

using proportion

Find out  how much she will  earn for working 15 hours

[tex]\frac{62.25}{9}\ \frac{\$}{h}=\frac{x}{15}\ \frac{\$}{h}\\\\x=62.25(15)/9\\\\x=\$103.75[/tex]

Answer:1440

Step-by-step explanation:

I’m guessing that’s cuz 300/15 is 60 then 60 times 24?

First, let's start by figuring out how much Kendra gets paid per day. To do this, we can divide 300 by 5. 300 / 5 equals $60 per day.

Next, we can take the amount she gets paid per day and multiply it by the number of days, 24. 24 * 60 = $1440.

At the rate of $60 per day, Kendra will get paid $1440 for working 24 days.

Hope this helps!! :)

Answer:

sales tax on a bottle of window cleaning solution = $0.1533

sales tax on a gel pen=$0.1925

Step-by-step explanation:

The price of bottle of window cleaning solution = $2.19

Sales tax =7%

Applying the tax, 7/100 * 2.19 = $0.1533

The price of a gel pen = $2.75

Applying the sales tax;

7/100 * 2.75 = $0.1925

The 7% sales tax on a $2.19 bottle of window cleaning solution and a $2.75 gel pen is around $0.35.

To calculate the 7% sales tax on a $2.19 bottle of window cleaning solution and a $2.75 gel pen, you first need to find the total cost of the items. Add $2.19 and $2.75 which equals $4.94. This is your base amount on which you will calculate the sales tax.

To get the tax amount, multiply the total cost by the tax rate as a decimal (7% = 0.07). So, $4.94 * 0.07 = $0.35 approximately. This will be the sales tax charged on these items.

Therefore, if you buy a window cleaning solution and gel pen, you would pay around $0.35 in taxes assuming a 7% sales tax.

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Answer:

1,7,49

Step-by-step explanation:

Answer: 7 squared

Step-by-step explanation:

49 = 1 x 49 or 7 x 7.

Factors of 49: 1, 7, 49.

Prime factorization: 49 = 7 x 7

which can also be written 49 = 7².

Answer: Slope: -1/4

Y-intercept: -8

Answer:Dante’s soccer team sells T-shirts to raise money for new equipment. For each T-shirt sold, the team raises $8. Parents also make a donation of $100 toward the equipment.

What is the equation that represents the total amount raised, y, if x T-shirts are sold?

Step-by-step explanation:

Answer:

3 seconds

Step-by-step explanation:

We have to give us the following function h (t) = - 16 * t ^ 2 + 48 * t + 3

Now, they tell us that the height is 3 feet, therefore replacing that value we have left:

3 = -16 * t ^ 2 + 48 * t + 3, operating cancels 3. And it would be:

-16 * t ^ 2 + 48 * t = 0

Removing common factor -16 * t, it would be:

(-16 * t) * (t - 3) = 0

We have two solutions:

-16 * t = 0 ---> t = 0

 t - 3 = 0 ---> t = 3

Because the time cannot be 0 seconds, the time it would take the ball in the air is 3 seconds.

The ball was in the air for 3 seconds.

To find how long the ball was in the air when the catcher caught it 3 feet above the ground, we need to solve for t in the equation -16t^2 + 48t + 3 = 3. Simplifying the equation, we get -16t^2 + 48t = 0. Factoring out 16t, we have 16t(-t + 3) = 0. Setting each factor equal to zero, we find two solutions: t = 0 and t = 3 seconds. Since we are only interested in the time the ball was in the air, we discard the solution t = 0 and conclude that the ball was in the air for 3 seconds.

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Answer:

[tex]\frac{2}{13}[/tex]

Step-by-step explanation:

In probability,

"OR" means "addition"

"AND" means "multiplication"

We want probability of A "OR" B, that means we find each individual probability and "ADD" them.

P(A) means P(choosing a 3 card):

There are 4 three-cards, 1 from each suit, and a total of 52 cards, so

P(A) = 4/52 = 1/13

P(B) means P(choosing a 7 card):

There are 4 seven-cards, 1 from each suit, and a total of 52 cards, so

P(B) = 4/52 = 1/13

Now,

P(A or B) = P(A) + P(B) = 1/13 + 1/13 = 2/13

The answer is  [tex]\frac{2}{13}[/tex]

Answer: 2/13

Step-by-step explanation:

Answer:

190 cm^2

Step-by-step explanation:

Base: 10 × 3 = 30 (×2 = 60)

Small faces: 5 × 3 = 15 (×2 = 30)

Larger faces: 5 × 10 = 50 (×2 = 100)

Add: 100 + 60 + 30 = 190

Answer:

-121

Step-by-step explanation:

-11² = -1 × 11² = -1 × 121 = -121

Answer:

If the negative is included in the square, that makes the number positive.

(-11)^2 = 121

If the negative is not included in the square, that makes the number negative.

-(11^2) = -121

Answer:

3+n

Step-by-step explanation:

Simple questions but it can be technical atimes, according to the question we are to solve in terms of n, simple...

The sum of 3 and n can be written as 3+n

This cannot be solved further because there are two different variables and it is impossible to add them together

Therefore the final answer is 3+n

But in case a value is given for n we can then substitute and solve further

Hope this will help you

Answer:

Step-by-step explanation:

n+3

3+n

Answer:5 1/3

Step-by-step explanation:

number = n

second number = s

6n + 3s = 27

2n + 1 = s

6n + 3(2n + 1) = 27

6n + 6n + 1 = 27

12n = 26

n = 26/12

n = 2 1/6

2(2 1/6) + 1 = s

4 1/3 + 1 = s

5 1/3 = s

Final answer:

To find the second number, we create a system of linear equations using the given information and solve for the variables. The solution shows that the second number is 5.

Explanation:

The student's question involves setting up a system of two linear equations and solving them to find the values of two unknown numbers.

Let the first number be x and the second number be y. We are given the following equations based on the problem:

6x + 3y = 27

y = 2x + 1

First, we can substitute the second equation into the first to solve for x:

6x + 3(2x + 1) = 27

6x + 6x + 3 = 27

12x + 3 = 27

12x = 24

x = 2

Now, substitute x = 2 into the second equation to find y:

y = 2(2) + 1

y = 4 + 1

y = 5

Therefore, the second number, y, is 5.

Answer:

1/243 for edge

Step-by-step explanation:

The simplified form of the quotient 3⁻¹ divided by 3⁴ is 1/243.

A quotient is defined as when dividing one number by another, the result is called the quotient.

To simplify the quotient 3⁻¹ divided by 3⁴, we can use the rule that says when we divide two exponential expressions with the same base, we can subtract their exponents.

So, we have:

3⁻¹ ÷ 3⁴

3⁻¹ divided by 3⁴ = 3⁻¹⁻⁴

Now, we can simplify the expression by subtracting the exponents:

3⁻¹⁻⁴ = 3⁻⁵ = 1/3⁵ = 1/243

So, the simplified form of the quotient 3⁻¹ divided by 3⁴ is 1/243.

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Answer:

-0.625

Step-by-step explanation:

The stock's value decreased by -0.625 each day over a period of four days, calculated by dividing the total decrease of -2.5 by the number of days.

The student's question pertains to finding the amount by which a stock's value decreased each day over four days, given that the total decrease was -2.5. To solve this problem, we use the concept of an arithmetic series, where each term changes by a constant difference. Since we know the total change in the stock's value was -2.5 over four days, we divide the total change by the number of days to find the daily change.

To calculate the change in stock value each day, we can use the formula:

Daily Change = Total Change / Number of Days

Plugging the values into the formula, we get:

Daily Change = -2.5 / 4 = -0.625

Therefore, the stock value decreased by -0.625 each day for the 4-day period.

Answer:

Option B, 1/4 (x - 5) = 13

Step-by-step explanation:

An inequality has a less than, greater than, less than or equal to, and greater than or equal to.  But, there are no equal signs allowed in a inequality.  That makes it an expression.

Answer:  Option B, 1/4 (x - 5) = 13

Answer:

B

Step-by-step explanation:

Answer:

16.75

Step-by-step explanation:

do pie times 4/3 times the radius and you will get your answer

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3} \\\\\\ V=\cfrac{256\pi }{3}\implies V\approx \stackrel{in^3}{268.08}[/tex]

Exterior Angle Property

Step-by-step explanation:

Interior Angle :

The angle formed with in the closed boundary of the triangle is called an interior angle.

In the given figure,  α ,  β and γ are interior angles.

Exterior Angles:

The angle formed outside the closed boundary of the triangle is called an exterior angle.

In the given figure,  γ' is an exterior angles.

Sum of the measures of the two non-adjacent interior angles  is EQUAL to  measure of an exterior angle of a triangle.

⇒   α +    β   = γ'

This property is known as " Exterior Angle Property"

Also, here angles  γ and γ' are making a linear pair.

γ +     γ'  =  180°

Given:

ABCD is a cyclic quadrilateral.

m∠C = 43°

To find:

The measure of ∠A.

Solution:

In cylic quadrilateral, opposite angles are supplementary.

⇒ m∠A + m∠C = 180°

⇒ m∠A + 43° = 180°

Subtract 43° from both sides.

⇒ m∠A + 43° - 43° = 180° - 43°

⇒ m∠A = 137°

The measure of ∠A is 137°.

Answer:

2/6<2/4

Step-by-step explanation:

We can start by simplifying the two fractions. 2/6=1/3 and 2/4=1/2. 1/3<1/2 so 2/6 is smaller than 2/4.

Answer:

45 in.

Step-by-step explanation:

6 x 8 = 48

.75 x 4 = 3

48 - 3 = 45

45 inches left

After cutting out four square corners, each with a side length of 3/4 inch from a 6 by 8 inches rectangular piece of paper, 45.75 square inches of paper is left.

To solve how much paper is left after the corners are removed, we need to calculate the total area of the paper and subtract the total area of the corners that were cut out.

The original dimensions of the paper are 6 inches by 8 inches, so its total area is:

Area of rectangle = width times length = 6 inches times 8 inches = 48 square inches.

Each corner is a square with a side of 3/4 inch, so the area of one corner is:

Area of one square corner = (3/4 inch) times (3/4 inch) = 9/16 square inches.

Since there are four corners:

Total area removed = 4 inches (9/16 square inches) = 9/4 square inches = 2.25 square inches.

Finally, subtract the area removed from the total area to find the remaining area:

Remaining area = Total area of rectangle - Total area removed

Remaining area = 48 square inches - 2.25 square inches = 45.75 square inches.

Therefore, after cutting out the corners, 45.75 square inches of paper is left.

Answer:

Final answer:

The probability of drawing a blue marble from a box containing 8 red, 9 blue, and 11 yellow marbles is calculated by dividing the number of blue marbles (9) by the total number of marbles (28), resulting in a probability of 9/28.

Explanation:

The question asks for the probability that a marble chosen randomly from a box is blue, given that the box contains 8 red marbles, 9 blue marbles, and 11 yellow marbles. To find this probability, you divide the number of blue marbles by the total number of marbles. Here's the calculation:

Therefore, the probability of drawing a blue marble from the box is 9/28.

Answer:

The correct answer is B. 3/8 = 9/24

Answer:

A. 5x + 2x - 4 = 2x2  <- Yes

x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4

B. x^2 - 6x - 7 = 2x    <- Yes

x = 4 + sqrt(23) or x = 4 - sqrt(23)

C: 5x^2 – 3x+ 10 = 2x2    <- Yes

x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)  

D . 2x^2 – 3x+ 10 = 2x^2 + 21x = -11/3     <- No

Step-by-step explanation:

Solve for x over the real numbers:

5 x + 2 x - 4 = 2 x^2

5 x + 2 x - 4 = 7 x - 4:

7 x - 4 = 2 x^2

Subtract 2 x^2 from both sides:

-2 x^2 + 7 x - 4 = 0

Divide both sides by -2:

x^2 - (7 x)/2 + 2 = 0

Subtract 2 from both sides:

x^2 - (7 x)/2 = -2

Add 49/16 to both sides:

x^2 - (7 x)/2 + 49/16 = 17/16

Write the left hand side as a square:

(x - 7/4)^2 = 17/16

Take the square root of both sides:

x - 7/4 = sqrt(17)/4 or x - 7/4 = -sqrt(17)/4

Add 7/4 to both sides:

x = 7/4 + sqrt(17)/4 or x - 7/4 = -sqrt(17)/4

Add 7/4 to both sides:

Answer: x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4

______________________________________________

Solve for x over the real numbers:

x^2 - 6 x - 7 = 2 x

Subtract 2 x from both sides:

x^2 - 8 x - 7 = 0

Add 7 to both sides:

x^2 - 8 x = 7

Add 16 to both sides:

x^2 - 8 x + 16 = 23

Write the left hand side as a square:

(x - 4)^2 = 23

Take the square root of both sides:

x - 4 = sqrt(23) or x - 4 = -sqrt(23)

Add 4 to both sides:

x = 4 + sqrt(23) or x - 4 = -sqrt(23)

Add 4 to both sides:

Answer: x = 4 + sqrt(23) or x = 4 - sqrt(23)

_________________________________________________

Solve for x:

5 x^2 - 3 x + 10 = 2 x^2

Subtract 2 x^2 from both sides:

3 x^2 - 3 x + 10 = 0

Divide both sides by 3:

x^2 - x + 10/3 = 0

Subtract 10/3 from both sides:

x^2 - x = -10/3

Add 1/4 to both sides:

x^2 - x + 1/4 = -37/12

Write the left hand side as a square:

(x - 1/2)^2 = -37/12

Take the square root of both sides:

x - 1/2 = 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)

Add 1/2 to both sides:

x = 1/2 + 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)

Add 1/2 to both sides:

Answer: x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)

________________________________________________

Solve for x over the real numbers:

2 x^2 - 3 x + 10 = 2 x^2 + 21

Subtract 2 x^2 + 21 from both sides:

-3 x - 11 = 0

Multiply both sides by -1:

3 x + 11 = 0

Subtract 11 from both sides:

3 x = -11

Divide both sides by 3:

Answer: x = -11/3

Answer: A. 5x + 2x - 4 = 2x2  <- Yes

x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4

B. x^2 - 6x - 7 = 2x    <- Yes

x = 4 + sqrt(23) or x = 4 - sqrt(23)

C: 5x^2 – 3x+ 10 = 2x2    <- Yes

x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)  

D . 2x^2 – 3x+ 10 = 2x^2 + 21x = -11/3     <- No

Solve for x over the real numbers:

5 x + 2 x - 4 = 2 x^2

5 x + 2 x - 4 = 7 x - 4:

7 x - 4 = 2 x^2

Subtract 2 x^2 from both sides:

-2 x^2 + 7 x - 4 = 0

Divide both sides by -2:

x^2 - (7 x)/2 + 2 = 0

Subtract 2 from both sides:

x^2 - (7 x)/2 = -2

Add 49/16 to both sides:

x^2 - (7 x)/2 + 49/16 = 17/16

Write the left-hand side as a square:

(x - 7/4)^2 = 17/16

Take the square root of both sides:

x - 7/4 = sqrt(17)/4 or x - 7/4 = -sqrt(17)/4

Add 7/4 to both sides:

x = 7/4 + sqrt(17)/4 or x - 7/4 = -sqrt(17)/4

Add 7/4 to both sides:

Answer: x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4

______________________________________________

Solve for x over the real numbers:

x^2 - 6 x - 7 = 2 x

Subtract 2 x from both sides:

x^2 - 8 x - 7 = 0

Add 7 to both sides:

x^2 - 8 x = 7

Add 16 to both sides:

x^2 - 8 x + 16 = 23

Write the left-hand side as a square:

(x - 4)^2 = 23

Take the square root of both sides:

x - 4 = sqrt(23) or x - 4 = -sqrt(23)

Add 4 to both sides:

x = 4 + sqrt(23) or x - 4 = -sqrt(23)

Add 4 to both sides:

Answer: x = 4 + sqrt(23) or x = 4 - sqrt(23)

_________________________________________________

Solve for x:

5 x^2 - 3 x + 10 = 2 x^2

Subtract 2 x^2 from both sides:

3 x^2 - 3 x + 10 = 0

Divide both sides by 3:

x^2 - x + 10/3 = 0

Subtract 10/3 from both sides:

x^2 - x = -10/3

Add 1/4 to both sides:

x^2 - x + 1/4 = -37/12

Write the left-hand side as a square:

(x - 1/2)^2 = -37/12

Take the square root of both sides:

x - 1/2 = 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)

Add 1/2 to both sides:

x = 1/2 + 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)

Add 1/2 to both sides:

Answer: x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)

________________________________________________

Solve for x over the real numbers:

2 x^2 - 3 x + 10 = 2 x^2 + 21

Subtract 2 x^2 + 21 from both sides:

-3 x - 11 = 0

Multiply both sides by -1:

3 x + 11 = 0

Subtract 11 from both sides:

3 x = -11

Divide both sides by 3:

Answer: x = -11/3

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Answer:

attatch a picture

line AB im assuming

Step-by-step explanation:

2cm=6ft.

Length=6cm=3×(2cm)=>3×6=18ft

Width=4cm=2×(2cm)=>2×6=12ft.

Answer: 3rd option, length=18ft, width=12ft

Answer:

(x - 2)² + (y + 3)² = 9

Step-by-step explanation:

(x - h)² + (y - k)² = r²

(x - 2)² + (y - (-3))² = 3²

(x - 2)² + (y + 3)² = 9

The equation of the circle is (x - 2)^2 + (y + 3)^2 - 9 = 0.

The correct option is (B).

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

As per the given data:

We are given the coordinates for the center of a circle and the measure of the radius of the circle. We have to find out the equation of the circle

The coordinates of the center of the circle (O) = (2, -3)

The radius of the circle = 3

The standard equation of the circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

By substituting (h, k) ⇒ (2, -3) and r = 3

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

= (x - 2)^2 + (y + 3)^2 = 9

The equation of the circle is (x - 2)^2 + (y + 3)^2 - 9 = 0.

Hence, The equation of the circle is (x - 2)^2 + (y + 3)^2 - 9 = 0.

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