Determine whether the given function has a maximum or a minimum value. Then, find the maximum or minimum value
of the function.
fx) = x2 - 6x + 5

Final answer:

In logic and truth tables, shifting one line correctly while the other is shifted incorrectly will result in credit for the correctly shifted line.

Explanation:

True or False: If you shift one of the lines incorrectly and the other correctly, you will receive credit for the correctly shifted line. True

The statement is true in the context of logic and truth tables. When dealing with truth tables and logical operations, if one line is shifted correctly and the other incorrectly, credit is given for the line that was correctly shifted.

Answer:45 Degrees

Step-by-step explanation:

3x+x= 180

4x=180

x=45 Degrees.

Answer:

y = 1/2

Step-by-step explanation:

Step 1:  Solve for y

2y + 3 = 4y + 2

2y + 3 - 2 - 2y = 4y + 2 - 2 - 2y

1 / 2 = 2y / 2

1/2 = y

Answer:  y = 1/2

Step-by-step explanation:

2y + 3 = 4y + 2

-2y + 3 = 2

-2y = -1

2y = 1

y = 1/2

y = 0.5

Answer:

49

Step-by-step explanation:

88+(-39) is the same as 88-39 given the distributive property, so 88-39=49

Answer:

8n-6 = 34

Step-by-step explanation:

6 less than the product of 8 and a  number n is 34

less than means subtract from the next thing

 -6

product means multiply

8n

Now we have 8n-6

is means equals

8n-6 = 34

the value of n is 5.

Step-by-step explanation:

Given,

6 less than the product of 8 and a  number n is 34

To find the value of n

According to the problem,

n×8 - 6 = 34

or, 8n = 34+6

or, 8n = 40

or, n = 40÷8

or, n= 5

Hence, the value of n is 5.

Answer:

126

Step-by-step explanation:

The coefficient of 9(14)P = 9*14 = 126

Answer: 1/6 of a gallon per day

Step-by-step explanation: divide 1/2 by 3 and you get 1/6 .

The Tran family drinks milk at a rate of 1/6 gallon per day.

To find the rate at which the Tran family drinks milk, we can calculate the amount of milk consumed per day. First, determine how much milk they consume in 3 days: 1/2 gallon every 3 days. To find the daily consumption, divide the amount consumed in 3 days by 3:

\[\frac{1/2}{3} = \frac{1}{6} \text{ gallons per day}.\]

This means the Tran family drinks 1/6 of a gallon of milk every day. To express this rate in a more common unit, there are 128 ounces in a gallon. Therefore, the Tran family drinks:

\[\frac{1}{6} \times 128 = 21.\overline{3} \text{ ounces of milk per day}.\]

So, the Tran family drinks milk at a rate of approximately \(21.\overline{3}\) ounces per day.

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Answer:

P: (3,0)

Step-by-step explanation:

AB = (9,3)

⅔(9,3) = (6,2)

(-3,-2) + (6,2) = (3,0)

the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1 is (3,0).

P=(mx2​+nx1/m+n​​,my2​+ny1/m+n​​).

The formula can be derived by constructing two similar right triangles, as shown below. Their hypotenuses are along the line segment and are in the ratio m : n m:n m:n.

Here, given that,

Given the point A(-3,-2) and B(6, 1),

Let, (x.y) is the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1.

Using the formula we get,

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

P=(3,0)

hence, the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:1 is (3,0).

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Answer:

The first picture will have a solution a (3,4)

The second will have no solutions

The third picture will have a solution at (-4,-3)

Step-by-step explanation:

The solution is when the lines intersect you can tell in the first and third picture when they will and the second picture has parrell lines meaning they will never intersect

part a - b

part b- a

so ya thats all

The compound inequality that represents all the possible amounts of money Kyle could have in terms of x are :

4 + 2x < 56

4 + 2x ≥ 38

The least amount of money Lana could have is 17 dollars

Lana has x dollars.

Therefore,

Lana money = x  dollars

Kyle has $4 more than twice as much money as Lana.

Kyles money = 4 + 2x

Kyle does not have enough money to buy a video game that costs $56, but he has enough money to buy a textbook that costs $38.

Therefore,

4 + 2x < 56

4 + 2x ≥ 38

Hence, the least amount of money Lana could have is as follow:

4 + 2(17) ≥ 38

4 + 34 ≥ 38

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By definition, the area of a triangle is given by:

 A = (1/2) * (b) * (h)

 Where,

 b: base

 h: height

 The area of the original triangle is 3 mm² and is dilated by a factor of 6. We have then

 A = (1/2) * (6b) * (6h)

 A = (1/2) * (b) * (h) * (6) * (6)

 A = 3 * (6) * (6)

 A = 108 mm²

 answer

 The area of the dilated triangle is 108 mm²

When a triangle with an original area of 3 mm squared is dilated by a factor of 6, the new area is found by multiplying the original area by the square of the dilation factor. This results in a new area of 108 mm squared.

The question asks about the effect of dilation on the area of a triangle. Specifically, it asks for the new area if a triangle with an original area of 3 mm² is dilated by a factor of 6. When dealing with dilation, the area of a shape changes by the square of the dilation factor. This means that if the dilation factor is 6, the new area will be 62 times the original area. This calculation can be performed as follows:

Original area = 3 mm²

Dilation factor = 6

New area = Original area × (Dilation factor)2 = 3 mm² × 62

New area = 3 mm² × 36 = 108 mm2

Therefore, the area of the dilated triangle is 108 mm²

Final answer:

The exponential function that goes through the points (0,6) and (2,96) is y = 6 * 4^x, where 6 is the initial value (a) and 4 is the base growth rate (b).

Explanation:

The student is asking for an exponential function in the form y = ab^x that passes through the points (0,6) and (2,96).

To find this function, we must determine the values of 'a' and 'b'. Since the function passes through the point (0,6), if we substitute x = 0, we get y = a * b^0. Since any number raised to the power of 0 is 1, it simplifies to y = a. Therefore, a = 6.

Next, we substitute the second point (2,96) into the original equation with our known value for 'a': 96 = 6 * b^2. To solve for 'b', we divide both sides of the equation by 6, resulting in 16 = b^2. Finding the positive square root of 16 gives us b = 4.

Therefore, the exponential function is y = 6 * 4^x.

The exponential function that goes through the points [tex]\((0, 6)\)[/tex] and [tex]\((2, 96)\)[/tex] is [tex]y = 6 \times 4^x[/tex]

To find the exponential function in the form [tex]\( y = ab^x \)[/tex] that goes through the points [tex]\((0, 6)\)[/tex] and [tex]\((2, 96)\)[/tex], we need to determine the values of [tex]\(a\)[/tex] and [tex]\(b\)[/tex].

1. Use the point [tex]\((0, 6)\)[/tex]

When [tex]\( x = 0 \), \( y = 6 \).[/tex]

[tex]\[6 = ab^0\][/tex]

Since [tex]\( b^0 = 1 \)[/tex]

[tex]\[6 = a \times 1\][/tex]

Therefore, [tex]\( a = 6 \).[/tex]

2. Use the point [tex]\((2, 96)\)[/tex]

When [tex]\( x = 2 \), \( y = 96 \)[/tex]

[tex]\[96 = 6b^2\][/tex]

Solving for [tex]\( b^2 \)[/tex]

[tex]\[b^2 = \frac{96}{6} = 16\][/tex]

Taking the square root of both sides:

[tex]\[b = 4\][/tex]

Thus, the exponential function is:

[tex]\[y = 6 \times 4^x\][/tex]

To verify, we can check both points:

For [tex]\((0, 6)\)[/tex]

[tex]\[y = 6 \times 4^0 = 6 \times 1 = 6\][/tex]

For [tex]\((2, 96)\)[/tex]

[tex]\[y = 6 \times 4^2 = 6 \times 16 = 96\][/tex]

Answer:

Step-by-step explanation:

332 323 233

Answer:

233, 323, 332.

Step-by-step explanation:

Starting from 200 and count by 10 (200, 210, 220, 230.) 233 is the smallest number, repeat with each number.

Answer:

There is no solution

Step-by-step explanation:

1. y = 3/4x - 5

2. -3x + 4y = -20

-3x + 4(3/4x - 5) = -20

-3x + 3x - 20 = - 20

-20 = -20

The percent change in attendance from last year to this year is approximately 24% after rounding to the nearest whole percent.

To calculate the percent change in attendance, you can use the formula for percent change which is (new value - original value)/original value × 100%.

Last year, the attendance was 2376 people, and this year, it increased to 2950 people. Let's plug these numbers into the formula to find the percent change:

(2950 - 2376)/2376 × 100% = 574/2376 × 100% ≈ 24.16%.

When we round to the nearest whole percent, the percent change in attendance is approximately 24%.

Answer:

After 60 minutes. Least common multiple I think is the reason

Step-by-step explanation:

The probability of drawing a 3 or an even card from a 52-card deck is calculated by adding the probability of drawing a 3 (1/13) and the probability of drawing an even card (5/13), resulting in a total probability of 6/13.

In a standard 52-card deck, there are four 3's and twenty even cards (2, 4, 6, 8, 10 in each of four suits: hearts, diamonds, clubs, and spades). Therefore, the probability, p, of drawing a 3 or an even card is calculated by adding the probabilities of these two independent events.

First, calculate the probability of drawing a 3: P(3) = 4/52 = 1/13, as there are 4 cards with a 3 and 52 total cards.

Next, calculate the probability of drawing an even card: P(even) = 20/52 = 5/13, because there are twenty even cards in the deck.

Finally, add these probabilities: p(3 or even) = p(3) + p(even) = 1/13 + 5/13 = 6/13.

Note: We can add these probabilities directly because these are mutually exclusive events -- a card cannot simultaneously be a 3 and an even number.

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Answer:

A: She earns 10 dollers per houer

B: x*2=y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Manuela makes 10 dollar for each hour she/he works.

Every number the line goes through the multiple of 10. (Ex. 2, 4, 6, 8, are all met up with 20, 40, 60, 80 on the Y axis.)

Answer:

y = -4x - 3

Step-by-step explanation:

Step 1:  Plug into slope-intercept form

y = mx + b

y = (-4)x + (-3)

y = -4x - 3

Answer:  y = -4x - 3

Answer: -2 1/6 is greater than -2 5/6

Step-by-step explanation:

To know the greater value, convert the mixed fraction to a decimal, this gives:

-2 1/6 = -2.1667

-2 5/6 = -2.833

Please note that a less negative number is always greater than a more negative number.

-2.1667 is greater than -2.833

Therefore, -2 1/6 is greater than -2 5/6

I hope this helps, thank you.

Answer:is 30

Step-by-step explanation:

So u can say 5+5=10, well if the answer is 10 then 10+10= 20 and then if u add 10 to 20 you will get 30

Answer:

2080

Step-by-step explanation:

Step 1:  Multiply

65 × 32

60*30 + 60*2 + 5*30 + 5*2

1800 + 120 + 150 + 10

2080

Answer:  2080

Answer:

2080

Step-by-step explanation:

Answer:

25 Questions

Step-by-step explanation:

100% - 80% = 20%

20/5 = 4

Each question is worth 4 points.

100/4 = 25

if you multiply 4 points by 25 questions you get 100 points or 100%.

Hope it helps : )

Answer:

Sort a list of the students into a random order, then ask the first 353535 students on the list.

Step-by-step explanation:

Answer:

Sort a list of the students into a random order, then ask the first 353535 students on the list.

Answer

y = [tex]\frac{17}{2}[/tex]

Step-by-step explanation:

-10 + 2y = 7

Add 10 to both sides of the equation

2y = 7 + 10

Add 7 and 10

2y = 17

divide each term in 2y=17 by 2

[tex]\frac{2y }{2} = \frac{17}{2}[/tex]

Divide y by 7

y = [tex]\frac{17}{2}[/tex]

Hope this helps

Answer:

1

Step-by-step explanation:

Answer:

It is inaccurate. Her words translate to 10 minus x

Step-by-step explanation

she minuses x and gives it to desai

It is not correct. Her words translate to 10 minus x

Given that,

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To find the height of the vase, use the formula for the volume of a cone (V = (1/3)πr^2h) and solve for h. Given the base diameter and the volume of the vase, substitute the values into the formula to find the height. The height of the vase is approximately 4 inches.

To find the height of the vase, we can use the formula for the volume of a cone which is V = (1/3)πr^2h, where V is the volume, r is the radius of the base, and h is the height. Given that the base of the vase has a diameter of 6 inches, the radius is half the diameter, which is 3 inches. We also know that the volume of the vase is approximately 113 in.³. We can substitute these values into the formula to find the height:

V = (1/3)π(3^2)h

113 = (1/3)π(9)h

113 = (3/3)π(9)h

113 = (π)(9)h

h = 113 / (π)(9)

h ≈ 4 inches

Therefore, the height of the vase is approximately 4 inches.

Measure of ∠B is 110°

Step-by-step explanation:

In a parallelogram, opposite angles are equal.

⇒ ∠B = ∠D

⇒ ∠B = (5x + 10)°

Now, angles in a parallelogram are equal to 360°.

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ (3x + y)° + (5x + 10)° + (5y + 20)° + (5x + 10)° = 360°

⇒ 13x + 6y + 40° = 360°

⇒ 13x + 6y = 320°  ------ (1)

Also, adjacent angles in a parallelogram are supplementary.

⇒ ∠A + ∠D = 180°

⇒ (3x + y)° + (5x + 10)° = 180°

⇒ 8x + y = 170° ----------- (2)

13x + 6y = 320

48x + 6y = 1020  (After multiplying eq. 2 with 6 to make coefficients equal)

Subtract (2) from (1)

⇒ -35x = -700

∴ x = 20

⇒ (5x + 10)° = 100 + 10 = 110°

Answer:

110°

Step-by-step explanation:

Angle A = Angle C

3x + y = 5y + 20

3x = 4y + 20

Angle C + Angle D = 180

5y + 20 + 5x + 10 = 180

5x + 5y = 150

x + y = 30

x = 30 - y

3(30 - y) = 4y + 20

90 - 3y = 4y + 20

7y = 70

y = 10

x = 30 - 10

x = 20

Angle B = Angle D

= 5(20) + 10

= 110°