I need step by step solution of this question.i will give brainliest to who gives step by step answer.​

Answer: y∈(-∞,3]

Step-by-step explanation:

[tex]y=-|x+1|+3[/tex]

Using the vertical angles theorem, the value of x = 2.

Given that angles A and B are vertical angles pair, based on the vertical angles theorem, both angles are congruent to each other.

Therefore:

m<A = m<B [vertical angles theorem]

m<A = (5x + 1)°

m<B = (4x + 3)°

Substitute

(5x + 1)° = (4x + 3)°

Solve for x

5x + 1 = 4x + 3

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

5x = 4x + 2

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

x = 2

Therefore, using the vertical angles theorem, the value of x = 2.

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Answer: It is likely B

Step-by-step explanation:

1. Subtract 6:
6 -6 + 3y < 9 -6

2. Divide by 3:
3y/3 < 3/3

3. Simplify:
y < 1

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

1. Subtract 3y:
4y -3y < 3y -3y + 2

2. Simplify:
y < 2

(i) So the answer is likely B

The derivative is f'(x) = 5.

The limit definition of the derivative tells us that the derivative of a function is f is

f' (x) = [tex]\lim_{h \to \0} 0[/tex] [tex]\frac{f(x+h)-f(x)}{h}[/tex]

For this, f(x) = 5x and f(x + h) = 5(x + h)

So:

f'(x) = [tex]\lim_{h \to \}0[/tex] [tex]\frac{5(x+h)-5x}{h}[/tex]

        = [tex]\lim_{h \to \}0[/tex] [tex]\frac{5x+5h-5x}{h}[/tex]

       = [tex]\lim_{h \to \}0[/tex] [tex]\frac{5h}{h}[/tex]

       = [tex]\lim_{h \to \}0[/tex] 5

       = 5

So, when f(x) = 5x , we see that its derivative is f'(x) = 5.

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If the upstairs switch is in the down position and the downstairs switch is in the up position, the light will be off

The given parameters are

Switches = 2 i.e. top and bottom

Also, we have:

When the upstairs switch is up and the downstairs switch is down, the light is turned on.

This means that the light is only on when the upstairs switch is up and the downstairs switch is down

Any other position of the switches, the light is off

From the question, we have

Upstairs switch is in the down position and the downstairs switch is in the up position

This is different from the required position to on the light

Hence, the light will be off

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Here is the completed table:

x       y            y/x

3       30          10 / 1

5       50           10 / 1

7        70           10 / 1

9       90             10 / 1

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s). The sign used to represent ratios are :.

The ratio of y to x : change in value of y / change in the value of x

(50 - 30) / (5 - 3) = 20 / 2 = 10 / 1

(70 - 50) / (7 - 5) = 20 / 2 = 10 / 1

(90 - 70) / (9 - 7) = 20 / 2 = 10 / 1

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The simplification of the expression ∛(1/16) × (-54/1) is -27√4/32.

Rationalization is the process of removing a radical as well as imaginary number from of the denominator of an arithmetic fraction. That is, in a fraction, remove the radicals so that the denominator just includes a rational number.

Now the expression is given as;

= ∛(1/16) × (-54/1)

= -54/ ∛16

Taking cube root of 16.

= -54/(4√4)

= -27/2(√4)

By the process of rationalization, multiply the numerator and denominator by the a radical that removes the radical from the denominator which is √4.

= -27×√4/2(√4×√4)

Simplifying the equation;

= -27√4/32

Therefore, the simplification of the expression is -27√4/32.

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Answer:

3/4 x 8 1/2 = 6.375

Answer:

18.48

7.39 divided by 0.4 is 18.475

rounded to hundredth is 18.48 because 5 or above you round up

Answer:2.909

Step-by-step explanation:hope this helps

the image of the point ( 0 , - 9 ) after a translation of right 5 units and down 1 unit will be ( 5 , - 10 ).

We are given a point:

( 0 , - 9 )

We will first translate it to the 5 units right.

So, we get that:

( 0 + 5 , - 9)

= ( 5 , - 9)

Now, we will translate it 1 unit to the down.

So, we get that:

= ( 5 , - 9 - 1)

= ( 5 , - 10 )

Image will become:

( 5 , - 10 )

Therefore, we get that, the image of the point ( 0 , - 9 ) after a translation of right 5 units and down 1 unit will be ( 5 , - 10 ).

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The Total amount to pay including the tax will be $132.52

In the given question, For the Total amount, we know that we have to add the Tax rate to the Principal amount. It is mentioned that the Principal amount P = $123.28 and the Tax rate is 7.5%. Firstly we have to calculate what amount of interest is to be charged upon the Principal amount. To calculate Interest we have the formula :

=>  I = (P * R)/100 , where I = Interest, P = Principal Amt, R = Interest Rate

=>  I = (123.28 * 7.5)/100   => I = 9.24

We get Interest amount = $9.24

To calculate the Total amount, We have the formula: T = P + I

where, T = Total Amount, P = Principal Amount, and I = Interest Amount

=>  T = 123.28 + 9.24  => T = 132.52

Hence, the Total Amount is $132.52

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The car with the speed of 50 Km/h travels the fastest.

We have given with three choices for selecting the fastest speed from them. The three choices are

First choice is 50 Km/h.

Second Choice is  car b travels a distance of d kilometers in h hours, based on the equation 55 h = d , h, equals, d.. So from this be can conclude that this car is moving with the speed of (1/55)km/h.

Third choice is  car c travels 135 kilometers in 3 hours. So from this be can conclude that this car is moving with the speed of (135/3) Km/h i.e., 45 Km/h.

So, from the given choices we can conclude that the car with the speed of 50 Km/h travels the fastest.

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The area of the actual park in square meters will be 54000m².

The length of the actual park will be:

= 180/6 × 10

= 300m

Width = 180m

Therefore, the area will be:

= Length × Width

= 300 × 180

= 54000 m²

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[tex]\sin^2\left(\frac{\pi }{6}-x \right)\implies \left[ ~~ \sin\left(\frac{\pi }{6}-x \right) ~~ \right]^2 \\\\\\ \stackrel{\textit{\LARGE Chain Rule}}{2\left[ ~~ \sin\left(\frac{\pi }{6}-x \right) ~~ \right]^1 \left[ ~~ \cos\left(\frac{\pi }{6}-x \right) ~~ \right] (-1)}\implies \boxed{-2\sin\left(\frac{\pi }{6}-x \right)\cos\left(\frac{\pi }{6}-x \right)}[/tex]

Answer:

2nd power

Step-by-step explanation:

3rd is cubed and 1st is: example 3^1 = 3

square root is √

Answer:

r = S/(2πh)

Step-by-step explanation:

S = 2πrh

divided by (2πh)

r = S/(2πh)

Answer: -15

Step-by-step explanation:

x=-5

g(-5)=3(-5)

g(-5)=-15

Step-by-step explanation:

1111111111111111111111

The value of x in the figure is 4

From the attached figure, we have the following parameters:

DE = x + 1

BC = 4x - 6

The triangles ADX and ABC are similar triangles

Based on the representation of the sides, we have:

BC = 2 * DE

So, we have

2 * (x + 1) = 4x - 6

Expand

2x + 2 = 4x - 6

Evaluate the like terms

2x = 8

Divide by 2

x = 4

Hence, the value of x in the figure is 4

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Answer:

yes

Step-by-step explanation:

-24 is. a whole number so it would be greater

Answer: Look at the explanation.

Step-by-step explanation: So first you move the 6x to the left side of the equal sign, then u turn it into a negative number. Next, you do 7x-6x=5. Which is 2x=5. And to find x you do 5÷2. Which is 2.5.

Hope this helps!

Answer:

x = -5

Step-by-step explanation:

Let's solve the problem,

→ 7x + 5 = 6x

→ 7x - 6x = -5

→ [ x = -5 ]

Hence, the answer is -5.

Answer:

-5

Step-by-step explanation:

Let's assume the you are moving horizontally along the number line. If you start at -4 and jump to -6, you have made 2 jumps to the left(-4;-5;-6). So halfway between them (the midpoint) is 1 jump (half of 2 jumps).

1 jump to the left of -4.... You land at -5.

Schweet!

The total cost of a Jalapeno is $ 9.24

Three friends ate at a restaurant and ate nachos for $19.95 and jalapeno poppers.

Three of them paid $9.73 each

So the total amount of money paid by three friends = 3×9.73

                                                                          = 29.19

Now we have to calculate the cost of jalapeno poppers

Therefore we have,

Total amount of money paid = cost of nachos + cost of jalapeno poppers

29.19 = 19.95 + cost of jalapeno poppers

The cost of jalapeno poppers =29.19 - 19.95

                                           = $9.24

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Answer: The cost is $9.24 for the peppers.

Step-by-step explanation: Just do math.

The best measure to determine the variability is mean which is equal to 69.48

We are given the data:

48, 55, 60, 61, 62, 63, 64, 65, 66, 66, 68, 70, 70, 71, 71, 72, 74, 74, 75, 76, 77, 77, 78, 79, 81 and 86​

The best measure to determine the variability is mean.

Total number of observations = 26

Sum of observations (S) will be:

S = 48 + 55 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 66 + 68 + 70 + 70 + 71 + 71 + 72 + 74 + 74 + 75 + 76 + 77 + 77 + 78 + 79 + 81 + 86​

S = 1809

Mean = Sum / total

Mean = 1809 / 26

Mean = 69.58

Therefore, the best measure to determine the variability is mean which is equal to 69.48

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Answer:

Step-by-step explanation:

Since zero of a polynomial function is a value of the variable at which the function's value is 0, 0=4(-1)^3+k(-1)^2-(-1)-1, for the given polynomial q(y)=4y^3+ky^2-y-1

simplifying the above gives: 0= -4+k+0

k=4

Answer:

What is the question

Step-by-step explanation:

We get the consecutive numbers as 257 and 258 from the equation 2 x + 1 = 515.

We are given that,

The sum of 2 consecutive numbers is 515.

Consecutive numbers:

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers. For example: 1 and 2 are consecutive numbers, 34 and 35 are also consecutive numbers.

Here let the first number be x

Second number will be:

x + 1

We need to find their sum:

x + x + 1 = 515

2 x + 1 = 515

2 x = 515 - 1

2 x = 514

x = 514 / 2

x = 257

x + 1 = 257 + 1 = 258

Therefore, we get the consecutive numbers as 257 and 258 from the equation 2 x + 1 = 515.

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