Complete the square to determine the minimum or maximum value of the function defined by the expression.

x2 + 4x + 3
A) maximum value at 1
B) minimum value at 1
C) maximum value at −1
D) minimum value at −1

Answer:

9 students ride the bus.

Step-by-step explanation:

First you take the amount of students which is 24 and divide the denominator which is 8. then you would get 3, meaning 1/8 = 3 students. Now you would multiply the 3 students making one 8 by three ( because there are 3/8 students taking the bus, and you would get 9 students.

Final answer:

To find how many students ride the bus in Ms Mull's class, multiply the fraction of bus riders (3/8) by the total number of students (24), resulting in 9 students who ride the bus.

Explanation:

The question asks to determine how many students in Ms Mull’s class ride the bus, given that 3/8 of the students use the bus and there are 24 students in total. To find the number of students who ride the bus, multiply the total number of students by the fraction that represents the bus riders.

Identify the total number of students: 24.

Calculate 3/8 of 24:
(3/8) × 24.

Multiply: 3 × 3 = 9 (since 24/8 = 3).

Conclude that 9 students in Ms Mull’s class ride the bus.

Answer:

76

Step-by-step explanation:

Given that in one morning, a diner chef had 176 breakfast orders.

Now, a circular graph shows the types of orders and it shows that 43% of the total labeled as the Eggs order.

We have to find the number of orders were there for eggs.

Now, it will be 43% of total breakfast orders i.e. 176.

Hence, it was [tex]176 \times \frac{43}{100} = 75.68[/tex] ≈ 76 (Answer)

To find the quantity of egg orders, we multiply the total number of orders (176) by the percentage of orders for eggs (43%). The result, 75.68, is rounded to the nearest whole number to get 76 orders.

The question is about calculating a certain percentage of the total number of breakfast orders. Given that the total number of orders is 176 and the percentage of orders that were for eggs is 43%, we can calculate the number of egg orders by multiplying 176 by 43% (or 0.43 as a decimal).

To calculate this, take the total number of breakfast orders and multiply it by the percentage of orders that were for eggs. In this case, that would be 176 (the total orders) multiplied by 0.43 (the percentage of orders made up of eggs).

Here's how to calculate it: 176 * 0.43 = 75.68 Because we can't really have a fraction of an order, we'll round to the nearest whole number, which gives us 76 orders.

Therefore, the answer is c) 76.

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Answer:

Baked Potato

Step-by-step-explanation:

      Go ahead to the nearest grocery or supermarket, and buy a plain potato, go back home and take the plastic off of it, put it in the microwave on it's side for around 6 or 7 minutes, depending how burnt you like it, 6 is normal, 7 is a little bit burnt. Take it out with an oven mitt, as it will be very hot, and flip it over on the other side and put it in the microwave on the side for that many minutes as you did before. After the timer, take it out with something on your hands to protect them, then slit the middle with a knife, and add some butter and mash it around, and enjoy!

Answer:

Cuba

Step-by-step explanation:

Answer:

200.52 m²

Step-by-step explanation:

A = 12² + π·6²/2

= 144 + 36π/2

= 144 + 18×3.14

= 144 + 56.52

= 200.52 m²

Final answer:

The volume of the refrigerator is factored by dividing with the given height, resulting in a quadratic polynomial that provides the other two dimensions. Upon factoring, we discover that the other dimensions are x - 6 and x + 1, corresponding to option D.

Explanation:

The volume of the refrigerator is given by the polynomial [tex]x^3 - 3x^2 - 16x - 12[/tex]. To find the other two dimensions of the refrigerator, we need to factor this polynomial using the given height of the refrigerator, which is x + 2. The goal is to divide the volume polynomial by the height polynomial to get the product of the remaining two dimensions.

We proceed with polynomial division or factoring:

Divide the volume polynomial by x + 2 using synthetic division or long division.

The result should be a quadratic polynomial that further factors into the product of two linear factors corresponding to the unknown dimensions.

Factor the quadratic polynomial to find the two missing dimensions.

In this case, the volume polynomial [tex]x^3 - 3x^2 - 16x - 12[/tex] can be divided by x + 2 to yield [tex]x^2 - 5x - 6[/tex], which can then be factored into (x - 6)(x + 1). Hence, the other two dimensions are x - 6 and x + 1, making option D correct.

Answer:

Step-by-step explanation:

The equation is:

          [tex]P = PV\times \frac{i}{1-(1 + i)^{-n}}[/tex]

Where,

For example, to calculate the montly payment of a $30,000 loan to be paid in 10 years, at 8% compounded monthly, you use>

Hence, n represents number of periods over which interest is calculated on the loan.

Answer:

to sum it up its A

Step-by-step explanation:

Answer:235/3

Step-by-step explanation:

Two hundred and thirty five over three as an imperfections fraction

Answer:

235/3

Step-by-step explanation:

78 * 3 from denominator which equals 234 + 1 from the numerator.

Answer:

a. Triangular prism

b. (Perimeter of base×height) +2(base area)

c. Total surface area

[tex] = 11(3 + 4 + 5) + 2( \frac{1}{2} )(3)(4) \\ = 11(12) + 3(4) \\ = 132 + 12 \\ = 144 \:{cm}^{2} [/tex]

The reason why we multiply the perimeter of the base by the height is because we are trying to find the area of each of the rectangular sides of the prism. (length×breadth)

Answer:

look down + pls give me brainiest

Step-by-step explanation:

Let x = number of people when she got on.

x -4+3 -5+1 -1 = 4

x -6 = 4

Solve for x to get x=10.

So there were 10 people when Paulina got on (including herself).

Answer:

store A

Step-by-step explanation:

Answer:

y=4x-1

Step-by-step explanation:

4x-y=1

4x=y+1 then negative Y becomes positive after going to the other side of the equal sign.

4x-1=y the positive 1 becomes negative after going to the other side of the equal sign.

Answer:

y = 4x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

4x - y = 1 ( subtract 4x from both sides )

- y = - 4x + 1 ( multiply through by - 1 )

y = 4x - 1 ← in slope- intercept form

Answer:

The correct answer is 1 and 1/2  

Trust Me

Answer:

The correct option is A

Step-by-step explanation:

quiz

Answer:

A: -0.3 and C: 1/6

Step-by-step explanation:

Step 1. Since 1/6 is positive it is greater than all negative numbers including -0.33

Step 2. -0.33 and -0.3 have the same numbers they are both negative but in -0.33 there are more hundred.

-0.3 >- 0.33

Step 3. -3/9= 0.33333..... -0.33 and -3/9 have the same number of units, tenths  and hundredths and both are negative but, -3/9 has more thousandths, so it's farther below 0.

-3/9 < -0.33

Final Step 4. -0.3 and 1/6 are greater than-0.33

The correct options are A.-0.3 and C. 1/6

In mathematics, an interval can be defined as a set of real numbers that contains all real numbers lying within any two specific numbers of the set R.

Given here: -0.33  which is equivalent to -1/3

The numbers greater than -1/3 lie in the interval (-1/3, ∞)

Clearly out of the given options only -0.3 and 1/6 lie in this interval.

Hence, The correct options are A.-0.3 and C. 1/6

Learn more about intervals here:

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Answer:

x=17/3, y=59. (17/3, 59).

Step-by-step explanation:

y=6x+25

y=12x-9

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

6x+25=12x-9

12x-6x-9=25

6x-9=25

6x=25+9

6x=34

x=34/6=17/3

y=12(17/3)-9=4*17-9=68-9=59

Answer:

-12/13

Step-by-step explanation:

Final answer:

To simplify the expression 24 - 4.57 + (-4.62), add the negative numbers together and then subtract the sum from the positive number, resulting in a simplified answer of 14.81.

Explanation:

The question involves simplifying an expression, which is a basic arithmetic operation in mathematics. We are given the expression 24 - 4.57 + (-4.62). To simplify, we need to combine like terms and perform the addition and subtraction.

First, let's combine the positive and negative numbers separately:

Positive number: 24

Negative numbers: -4.57 and -4.62

We add the negative numbers together: -4.57 + (-4.62) = -9.19

Now, we subtract this sum from the positive number:

24 - 9.19 = 14.81

Therefore, the simplified result of the expression 24 - 4.57 + (-4.62) is 14.81.

Answer:

answer is b

Step-by-step explanation:

look at the picture

Yo sup??

slope=y2-y1/x2-x1

just take any value of x1 x2 y1 and y2

let x1,y1=2,1

and

x2,y2=4,-2

plugging in the values

slope=-2-1/4-2

=-3/2

therefore your answer is option 2

Hope this helps

Answer:

[tex]Speed\ of\ car=38\ km/h[/tex]

Step-by-step explanation:

Distance Covered by Horse:

[tex]Speed\ of\ horse=50\ km\h=50\times \frac{1000}{60}\ meter/ minute\\\\Speed\ of\ horse=\frac{2500}{3}\ meter/minute\\\\Distance\ covered\ in\ 4\ minutes=speed\times time=\frac{2500}{3}\times 4\\\\Distance\ covered\ in\ 4\ minutes=\frac{10000}{3}\ meters\\\\[/tex]

Distance covered by Car:

[tex]Let\ speed\ of\ car=x\ meter/minute\\\\time=4\ minutes\\\\Distance\ covered=speed\times time=4\times x=4x[/tex]

[tex]Distance\ covered\ by\ horse=Distance\ covered\ by\ car+800\\\\\frac{10000}{3}=4x+800\\\\4x=\frac{10000}{3}-800\\\\4x=\frac{7600}{3}\\\\x=\frac{7600}{3\times 4}\ meter/minute\\\\x=\frac{7600}{3\times 4}\times \frac{60}{1000}\ km/h\\\\x=38\ km/h[/tex]

Final answer:

Jones' horse travels at 833.33 meters per minute, and in 4 minutes it covers 3333.32 meters. The car travels 2533.32 meters in the same time, giving it a speed of 633.33 meters per minute or 38 km/h.

Explanation:

To find out how fast the car was moving, we can begin by converting Jones' speed into meters per minute because the distance is given in meters and time in minutes. Jones moves at 50 km/h which is approximately 833.33 meters per minute (since 50,000 meters in 60 minutes).

Jones catches up to the car in 4 minutes, which means he covers the 800-meter gap plus however far the car travels in that same time. In 4 minutes, Jones travels 4 minutes * 833.33 meters/minute = 3333.32 meters. Therefore, the car must have traveled 3333.32 meters - 800 meters = 2533.32 meters in 4 minutes.

We can then calculate the car's speed by dividing the distance it traveled by the time it took: 2533.32 meters / 4 minutes, which gives us 633.33 meters per minute. To convert this back into kilometers per hour, we multiply by 60 minutes and divide by 1000 meters to get the speed of the car in km/h. This results in 38 km/h as the car's speed.

The coordinates of P' is [tex](7,-11)[/tex]

Explanation:

The coordinates of Point P is [tex](4,-9)[/tex]

It is given that the point P is translated according to the rule,

[tex]$(x, y) \implies(x+3, y-2)$[/tex]

Now, substituting, the values for x and y, we get,

[tex](4,-9)\implies(4+3,-9-2)[/tex]

Adding the values, we get,

[tex](7,-11)[/tex]

Thus, the coordinates of P' is [tex](7,-11)[/tex]

Answer:

Divide each side of the equation by 2.

Step-by-step explanation:

(I took the test so i know its right) Basically, when doing the this by completing the square we need y^2 by itself, so we divide 2y^2-16y=6 by two first.

Answer:

Divide each side of the equation by 2.

Step-by-step explanation:

2y² – 16y = 6

Divide both sides by 2

y² - 8y = 3

Answer:

is 24 a b c and d?

Step-by-step explanation:

Answer:

7/6 (= 1 1/6)

Step-by-step explanation:

5(3-2y)+4y=8   (by PEDMAS, expand distribute parenthesis first)

3(5) -2y(5) + 4y = 8

15 - 10y + 4y = 8

15 - 6y = 8   (subtract 15 from both sides)

-6y = 8 - 15

-6y = -7  (divide both sides by -6)

y = -7 / -6 = 7/6 = 1 1/6

Answer:

y = 10.5

Step-by-step explanation:

5 x (3 - 2y) + 4y = 8

5 x (3 + -2y) + 4y = 8

15 + -10y + 4y = 8

15 + -6y = 8

(15/6) (-6y/+6)

 2.5        Y

-Y + 2.5 = 8

10.5 - 2.5 = 8

Final answer:

To find the area of a circle with a radius of 7 units, use the formula A = πr². Substitute 7 for r to get A = π(7²), which calculates to approximately 153.93804 square units. We round it to 150 square units, to match the significant figures of the radius.

Explanation:

The expression representing the area of a circle with a radius of 7 units is A = πr², where 'A' is the area and 'r' is the radius of the circle. To solve for the area with a radius of 7 units:

Substitute the radius (7 units) into the expression: A = π(7²).

Square the radius: 7² = 49.

Multiply by π (approximately 3.14159): A = π(49) or A ≈ 3.14159 × 49.

Calculate the area, which gives approximately 153.93804 square units.

Since the radius is given in two significant figures, you should express the area in two significant figures: A ≈ 150 square units.

Answer:

x=-11/6, y=7/6. (-11/6, 7/6).

Step-by-step explanation:

-2x+2y=6

4x+2y=-5

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

2(-2x+2y)=2(6)

4x+2y=-5

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

-4x+4y=12

4x+2y=-5

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

6y=7

y=7/6

4x+2(7/6)=-5

4x+14/6=-5

4x=-5-14/6

4x=-30/6-14/6

4x=-44/6

x=(-44/6)/4

x=(-44/6)(1/4)

x=-44/24

simplify

x=-11/6