(1 point) Suppose that f(x) = 2x V3x + 4 (A) Find all critical values of . If there are no critical values, enter -1000. If there are more than one, enter them separated by commas. Critical value(s) = -1000 (B) Use interval notation to indicate where f(x) is increasing. Note: When using interval notation in WeWork, you use I for 0, -for-00, and U for the union symbol. If there are no values that satisfy the required condition, then enter "0" without the quotation marks. Increasing: (C) Use interval notation to indicate where f(x) is decreasing.

Answer:

c. 5

Step-by-step explanation:

1.5m = 1.5*100 cm = 150 cm

Divide 150 cm by 30 cm,

150/30 = 5

(a) For Rolling a dice the outcomes and probabilities are,

Outcomes = {1, 2, 3, 4, 5, 6}

Probability to get 1 on the face = p(1) = 1/6

Probability to get 2 on the face = p(1) = 1/6

Probability to get 3 on the face = p(1) = 1/6

Probability to get 4 on the face = p(1) = 1/6

Probability to get 5 on the face = p(1) = 1/6

Probability to get 6 on the face = p(1) = 1/6

(b) For Flipping a coin the outcomes and probabilities are,

Outcomes = {Head, Tail}

Probability of getting Head = 1/2

Probability of getting Tail = 1/2

(a) Here the event is Rolling a dice.

So the possible outcomes under the event rolling a dice are each of the face values on the dice.

So outcomes are = {1, 2, 3, 4, 5, 6}

Now, the probabilities are,

Probability to get 1 on the face = p(1) = 1/6

Probability to get 2 on the face = p(1) = 1/6

Probability to get 3 on the face = p(1) = 1/6

Probability to get 4 on the face = p(1) = 1/6

Probability to get 5 on the face = p(1) = 1/6

Probability to get 6 on the face = p(1) = 1/6

(b) Here the event is Flipping a coin.

So the possible outcomes under this event can be getting a Head or getting a Tail.

Outcomes = {Head, Tail}

Probability of getting Head = 1/2

Probability of getting Tail = 1/2

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Answer:

(-2, 4, 2)

Where x = -2, y = 4, and z = 2.

Step-by-step explanation:

We are given the system of three equations:

\(\displaystyle \left\{ \begin{array}{l} 4x -y -2z = -8 \\ -2x + 4z = -4 \\ x + 2y = 6 \end{array}\)

And we want to find the value of each variable.

Note that both the second and third equations have an x.

Therefore, we can isolate the variables for the second and third equation and then substitute them into the first equation to make the first equation all one variable.

Solve the second equation for z:

\(\displaystyle \begin{aligned} -2x+4z&=-4 \\ x - 2 &= 2z \\ z&= \frac{x-2}{2}\end{aligned}\)

Likewise, solve the third equation for y:

\(\displaystyle \begin{aligned} x+2y &= 6\\ 2y &= 6-x \\ y &= \frac{6-x}{2} \end{aligned}\)

Substitute the above equations into the first:

\(\displaystyle 4x - \left(\frac{6-x}{2}\right) - 2\left(\frac{x-2}{2}\right)=-8\)

And solve for x:

\(\displaystyle \begin{aligned} 4x+\left(\frac{x-6}{2}\right)+(2-x) &= -8 \\ \\ 8x +(x-6) +(4-2x) &= -16 \\ \\ 7x-2 &= -16 \\ \\ 7x &= -14 \\ \\ x &= -2\end{aligned}\)

Hence, x = -2.

Find z and y using their respective equations:

Second equation:

\(\displaystyle \begin{aligned} z&=\frac{x-2}{2} \\ &= \frac{(-2)-2}{2} \\ &= \frac{-4}{2} \\ &= -2\end{aligned}\)

Third equation:

\(\displaystyle \begin{aligned} y &= \frac{6-x}{2}\\ &= \frac{6-(-2)}{2}\\ &= \frac{8}{2}\\ &=4\end{aligned}\)

In conclusion, the solution is (-2, 4, -2)

Answer:

x = -2

y =4

z=-2

Step-by-step explanation:

4x−y−2z=−8

−2x+4z=−4

x+2y=6

Solve the second equation for x

x = 6 -2y

Substitute into the first two equations

4x−y−2z=−8

4(6-2y) -y -2 = 8  

24 -8y-y -2z = 8

-9y -2z = -32

−2(6-2y)+4z=−4

-12 +4y +4z = -4

4y+4z = 8

Divide by 4

y+z = 2

z =2-y

Substitute this into -9y -2z = -32

-9y -2(2-y) = -32

-9y -4 +2y = -32

-7y -4 = -32

-7y =-28

y =4

Now find z

z = 2-y

z = 2-4

z = -2

Now find x

x = 6 -2y

x = 6 -2(4)

x =6-8

x = -2

The zeros of the function F(x) = -(x+6)^2 - 49 are -6 - 7i and -6 + 7i.

To find the zeros of the function F(x) = -(x+6)^2 - 49, we need to find the values of x when F(x) = 0.
Step 1: Set the function equal to 0.
0 = -(x+6)^2 - 49
Step 2: Isolate the squared term.
49 = -(x+6)^2
Step 3: Divide both sides by -1 to remove the negative sign.
-49 = (x+6)^2
Step 4: Take the square root of both sides.
√(-49) = x+6
Since the square root of a negative number is a complex number (involving an imaginary unit 'i'), there are no real zeros for this function. The zeros are complex and can be written as:
Lesser x = -6 - 7i
Greater x = -6 + 7i
Your answer: The zeros of the function F(x) = -(x+6)^2 - 49 are -6 - 7i and -6 + 7i.

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Answer:

It’s a blank page sorry

Step-by-step explanation:

Answer:

x and y can be any two numbers greater than zero such that y is also greater than x

D.no more than 45

C.50 miles per hour

Step-by-step explanation:

Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .

Suppose we take y= 9 and x= 3 then

9/3 > 1

3>1

Also

3/9 < 1

1/3 < 1

x and y can be any two numbers greater than zero such that y is also greater than x

2. Total weight that can be carried is 3000 pounds.

The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.

The smaller machines weigh 60 pounds

The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.

3. Total distance = Speed * time

                           = 48 * (40/60) = 32 miles

New distance = 32+ 8= 40 miles

New time = 48 minutes

Speed = distance / time = 40/ 48/60=  50 miles per hour

Answer:9

Step-by-step explanation:

27 divided by 3

Answer:

9 feet represent 1 square

Step-by-step explanation:

27 divided by 3 is 9

Therefore, your answer is 9 feet ;)

Hope this helped!

Answer:

Perpendicular lines

Step-by-step explanation:

Brainliest plz

Hope this helped

Ty

Answer:

LN = 4.326

Step-by-step explanation:

dropping a perpendicular from point k to LM

call that point on line LM, point X

angle KLM = 47 degrees so angle NKL = 28 degrees

sin 47 = KX/8.9

KX = 6.509

angle LKX = 90-47-28 = 15 degrees

tan 15 = XN/6.509

XN = 1.744

cos 47 = XL/8.9

XL = 6.070

XL-XN=LN

LN = 6.070-1.744 = 4.326

Answer:

13.4

Step-by-step explanation:

use a^2+b^2=c^2

longest side=18 so c=18

other leg= 144

plug it in: 12^2+b^2=18^2

144+b^2=324

144+b^2=324-144

180 square root= 13.4

Answer:

(f + g)(x) = 2x² - 3 + 7x + 11 + 4x² = 6x² + 7x + 8

(f - g)(x) = 2x² - 3 + 7x - 11 - 4x² = -2x² +7x - 14

Answer:

f (3) equals -11

Step-by-step explanation:

f (x) = -4x + 1

For f(3), just substitute 3 in the place of x:-

f (3) = -4 x 3 + 1

f (3) = -12 + 1

Answer:

-11

Step-by-step explanation:

where x is out -3 so it would look like

-4(3)+1

which is -11

you do -4 * 3 first which = -12 than add one you will get -11

It is proved that LHS = RHS

i.e.,  (secθ−cosθ)(cotθ+tanθ) = tanθ secθ

Trigonometry is the branch of mathematics that studies the relationship between angles and the ratio of lengths. The field originated in the Hellenistic world in the 3rd century BC, from the application of geometry to the study of astronomy. The Greeks focused on calculating chords, while Indian mathematicians created the first known tables of values ​​for equational sine ratios, also called trigonometric functions.

According to the Question:

L.H.S = (secθ−cosθ)(cotθ+tanθ)

        = (1/ cosθ −cosθ)( cosθ/sinθ + sinθ/cosθ​ )

        = (1−cos²θ/ cosθ)( cos²θ +sin²θ / sinθcosθ)

since we know that:

sin²θ+cos ²θ = 1

=sin²θ/cosθ(1/sinθ cosθ)

​= sinθ/ cosθcosθ

​= tanθ secθ

= R.H.S

Complete Question:

Prove that:

(secθ−cosθ)(cotθ+tanθ) = tanθsecθ

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Answer:

(- 5, 1 )

Step-by-step explanation:

Given the translation rule

(x, y ) → (x - 2, y - 6 )

This means subtract 2 from the original x- coordinate and subtract 6 from the original y- coordinate, that is

(- 3, 7 ) → (- 3 - 2, 7 - 6 ) → (- 5, 1 )

Answer:

18

Step-by-step explanation:

if there were 30 carrots at first, and 10 were gone, then 2 after that

The equation would be 30 - 10 - 2 = 18

a) A non-trivial subgroup of U = Z₄+′′ is {1}. b) A non-trivial subgroup of U = G₂(r), ′′X ′′ is the subgroup generated by a prime divisor of r, denoted as <p>.

a) The group U = Z₄+′′ refers to the group of units modulo 4 under addition. The elements of this group are {1, 3}.

To find a non-trivial subgroup of U, we need to find a subset of U that is closed under the operation and satisfies the group axioms.

One example of a non-trivial subgroup of U is {1}, which consists of the identity element. This subset is closed under addition and satisfies the group axioms. It is non-trivial because it is not the entire group U.

b) The group U = G₂(r), ′′X ′′ represents the group of units in the ring G₂(r), where r is a positive integer greater than 2. The elements of this group are the positive integers less than r and coprime to r.

To find a non-trivial subgroup of U, we need to find a subset of U that is closed under the operation and satisfies the group axioms.

One example of a non-trivial subgroup of U is the subgroup generated by a prime divisor of r. Let p be a prime divisor of r. The subgroup generated by p, denoted as <p>, consists of all positive powers of p modulo r. This subset is closed under multiplication (which is the operation in this case) and satisfies the group axioms. It is non-trivial because it is a proper subset of U and contains at least two elements (1 and p).

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i think it should be -1.6

if you add 7 to 9 it'll be 16.

if you divide -10 by 16 it'll give you -16/10.

simplify it and you should get -8/5 or -1.6.

Answer:

-21x + 14

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

f(3) = 4

Step-by-step explanation:

Give x = 3 in the interval x ≥ 1 then f(x) = x + 1 , and

f(3) = 3 + 1 = 4

According to the unitary method, the lab technician can save money by blending 1.09 ounces of food x and 3.91 ounces of food y to meet the rabbits' nutritional needs.

First, let's determine the total minimum amount of each nutrient that the rabbits need per day. According to the requirements, the rabbits need a minimum of 24 g of fat, 36 g of carbohydrates, and 4 g of protein per day. Using a unitary method, we can find out how much of each nutrient is required per ounce of food:

For fat: 24 g ÷ 5 oz = 4.8 g/oz

For carbohydrates: 36 g ÷ 5 oz = 7.2 g/oz

For protein: 4 g ÷ 5 oz = 0.8 g/oz

Now we can compare these requirements to the nutrient content of food x and food y to determine the optimal blend. Let's use the variables x and y to represent the number of ounces of food x and food y, respectively, in the blend. We can set up the following equations:

8x + 12y = 4.8x + 7.2y + 24 (equation for fat)

12x + 12y = 7.2x + 4.8y + 36 (equation for carbohydrates)

2x + y = 0.8x + 0.8y + 4 (equation for protein)

We also know that the total amount of food in the blend should not exceed five ounces, so we can add the following constraint:

x + y ≤ 5 (equation for total food limit)

Now we can solve for x and y by using any method of solving a system of equations. In this case, it's easiest to use substitution. Let's use the equation for protein to solve for y:

2x + y = 0.8x + 0.8y + 4

1.2y = 1.2x + 4

y = x + 3.33

Now we can substitute y in the other equations:

8x + 12(x + 3.33) = 4.8x + 7.2(x + 3.33) + 24

20.67x = 22.62

x ≈ 1.09

12x + 12(x + 3.33) = 7.2x + 4.8(x + 3.33) + 36

21.99x = 26.61

x ≈ 1.21

Therefore, the optimal blend is 1.09 ounces of food x and 3.91 ounces of food y. Let's check if this blend meets the nutritional requirements:

Fat: (8 g/oz x 1.09 oz) + (12 g/oz x 3.91 oz) = 64.28 g > 24 g (minimum required)

Carbohydrates: (12 g/oz x 1.09 oz) + (12 g/oz x 3.91 oz) = 59.28 g > 36 g (minimum required)

Protein: (2 g/oz x 1.09 oz) + (1 g/oz x 3.91 oz) = 5.09 g > 4 g (minimum required)

As we can see, the optimal blend meets all the nutritional requirements and stays within the daily food limit of five ounces. The cost of the blend can be calculated as follows:

Cost of food x: 1.09 oz x $0.20/oz = $0.218

Cost of food y: 3.91 oz x $0.30/oz = $1.173

Total cost: $0.218 + $1.173 = $1.391

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Given that:

1. The brown family paid $170 for 3 children and 2 adults

2. The Rodriguez family paid $360 for 4 children and 6 adults

a. if x is the price of a child's ticket and y is the price of an adult's ticket, then the system of equations that models the situation would be:

Note that:

Equation (1) and (2) are the model equations for the Brown family and Rodriguez family respectively

b.

Note that, the red and blue line represents the first and second model equations respectively

c. The coordinates of the point intersection is:

d.

The coordinate of the point of intersection (30, 40) means that the price of a child's ticket for the Brown and Rodriguez family is $30, and the cost of an adult's ticket for the Brown and Rodriguez family is $40

Answer: 372 units²

Step-by-step explanation:

     We can use this formula to solve for the surface area:

Surface Area = 2lw + 2lh + 2hw

     We will substitute the known values and solve:

Surface Area = 2lw + 2lh + 2hw

Surface Area = 2(12)(3) + 2(12)(10) + 2(10)(3)

Surface Area = 372 units²

By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.

From the given figure ∠3≅∠5.

The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.

From the given figure, 46° + ∠3 =180°

⇒ ∠3 =134°

∠3 = ∠5 =134° (alternate interior angles)

By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.

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Answer:

option 4

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 4, - 1 ) → (4, - 1 )

(2, 6 ) → (- 2, 6 )

Answer:

h=-4

Step-by-step explanation:

Use the Distributive law:

1. -3(h+5) gives us -3h-15 then you add your two(2).

the whole of your left side of the equation will give you -3h-13

2. 4(h+6) gives us 4h+24 then you subtract nine(9).

the whole of the right side of the equation will give you 4h+15

3. equate the two like this:

-3h-13=4h+15

4. group like terms of each side:

-13-15=4h+3h

5. Add and Subtract

-28=7h

6. Decide both sides by 7 to make h the subject of the formula

7. Congratulations you got your answer as h=-4

Answer:

a. h = -4

Step-by-step explanation:

Answer:

Area of the base is 10.5 cm².

Step-by-step explanation:

Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases

Vertical height = 6 cm

Volume = 63 cm³

From the formula,

63 = Area of the triangular base × 6

Area of the base = \(\frac{63}{6}\)

                            = 10.5 cm²

Therefore, area of the base is 10.5 cm².

The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

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Answer:

hi so can you explain it better i will know what to do thanks i will let you know when i have it

Step-by-step explanation:

Answer:

both are parallel to each other

Step-by-step explanation: