Type the correct answer in each box. Use numerals instead of words. This table represents function f. x -3 2 3 7 y -2 8 10 18 Complete this table to represent the inverse of function f. x -2 8 10 18 y Reset

Step-by-step explanation:

x - 3y = 6

3y = x - 6

y = 1/3 x - 2.

Here m is 1/3 and b is -2.

Step-by-step explanation:

In Quadrant II, cosine is negative.

We know that sin²x + cos²x = 1, so:

cosx = sqrt[1 - sin²x]

= sqrt[1 - (5/13)²]

= sqrt(144/169)

= -12/13 (since cosx is negative here)

The answer is -12/13. (B)

Option B is correct.

According to the given question

We have,  sin ∅ = 5/13

From the trigonometric identities we know that

[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1

substitute the value of sin∅ in the above identity

[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅  =1

⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅  =1

⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]

⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]

⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]

⇒cos∅ = ±[tex]\frac{12}{13}[/tex]

Since, ∅ is in quadrant II, then cos<0

⇒ cos∅ = -[tex]\frac{12}{13}[/tex]

Hence, option B is correct.

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Answer:

143 kg

I'm not sure but I think this is correct

Step-by-step explanation:

Answer:

Rs. 40

Step-by-step explanation:

Ravi paid the amount of Rs. 40 for the candies for her daughter's birthday.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

If the candies weighed 50 grams each, the total weight of the candies is 80 x 50 = 4000 grams.

To convert the weight from grams to kilograms, we divide by 1000. So, the total weight in kilograms is 4000 / 1000 = 4 kilograms.

If the price of candies was Rs. 10 per kilogram, the total cost for 4 kilograms is 4 x 10 = Rs. 40.

Therefore, he paid Rs. 40 for the candies.

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Answer:

Answer:

The largest is 25.

Step-by-step explanation:

If the first integer is x, the second is x+1 and the third is x+2.

When you multiply the largest by 4: (x+2)*4

It is 31 more than 3 times the smallest: (x+2)*4 = (x)*3+31

When you simplify you get : 4x+8 = 3x+31

Which means: x = 23

But since you want the largest you get: 23+2 = 25

The greatest of the three consecutive odd integers will be  [tex]19[/tex].

Integers are whole numbers that can be positive, negative and zero.

We have,

Let first integer [tex]= x[/tex]

Second integer [tex]= x+2[/tex]

Third integer  [tex]= x+4[/tex]

Now,

According to the question,

[tex]4(x+4) = 3(x)+31[/tex]

Simplifying;

[tex]4x+16=3x+31[/tex]

Taking [tex]x[/tex] variable on one side and constant on the other;

[tex]4x-3x=31-16[/tex]

[tex]x=15[/tex]

So,

Now substitute the value of [tex]x[/tex]  in every integer's equation,

i.e.

First integer [tex]= 15[/tex]

Second integer [tex]= 17[/tex]

Third integer  [tex]= 19[/tex]

So, the greatest of the three consecutive odd integers is [tex]19[/tex].

Hence, we can say that the greatest of the three consecutive odd integers will be  [tex]19[/tex].

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Answer:

A

Step-by-step explanation:

3x × 4 =12x

Mark me brainliest pls

and thank me

Answer:

I think it is A

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

5

Step-by-step explanation:

Given

28.95 + 34.05b ≤ 200 ( subtract 28.95 from both sides )

34.05b ≤ 171.05 ( divide both sides by 34.05 )

b ≤ 5.02349..

Thus 5 black inks were purchased

Answer:

a+(n-1)d is the formula to calculate

Answer:

-i

Step-by-step explanation:

Answer:

21 feet

Step-by-step explanation:

To solve this question, we would be using the proportion

Shadow /Height

From the question:.

Manny's shadow = 414 feet

Manny's Height = 512 feet

Height of the tree = ? = x

Shadow of the tree = 17 feet

Hence:

414/512 = 17/ x

Cross Multiply

414 × x = 512 × 17

x = 512 × 17/414

x = 21.024154589 feet

x ≈ Approximately = 21 feet

The height of the tree = 21 feet

The height of the tree is 21 feet.

Given that,

Based on the above information, the calculation is as follows:

[tex]414\div 512 = 17\div x\\\\414 \times x = 512 \times 17\\\\x = 512 \times 17\div 414[/tex]

x = 21.02

= 21 feet

Therefore we can conclude that the height of the tree is 21 feet.

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Answer:

8 hours

Step-by-step explanation:

520 miles divided by 65mph

Answer:

-1

Step-by-step explanation:

Remember, slope is rise/run

Start from a point on the line and count up and over until you reach another point on the line.

For example, start from (0,-2), count up and left until you get to (-2,0). This gets you 2/2, which reduces to 1.

Since the line represents a negative slope, the slope is -1.

Answer:

Step-by-step explanation:

let the number be x

20-x/2=10

40-x=20

40-20=x

x=20

Answer:

the answer is B

Step-by-step explanation:

your welcome

Answer:

y=3x-17

Step-by-step explanation:

Answer:

21x?

Step-by-step explanation:

I think so

Answer:

(0,1)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

A square has 4 sides, all of equal length. We can simply find the square root of the area to find the length and width, or length of each side. So to find the length, you find the square root of the area.

[tex] \sqrt{49} = 7[/tex]

Answer:

345

Step-by-step explanation:

The multiplying factor is 100% + 7% = 107% = 1.07

The number of bacteria after 5 months is

246 × [tex](1.07)^{5}[/tex]

≈ 345 ( to the nearest whole number )

Answer:

345 and brainliest pls

Step-by-step explanation:

Answer:

Ste(x−5)2=x2−10x 25

step-by-step explanation:

The standard form of a polynomial in one variable is a sum of terms in decreasing order of degree.

For brevity, terms with negative coefficients are usually written as subtractions rather than adding the additive inverses. That is, we would write  

x

2

−

3

x

+

2

rather than  

x

2

+

(

−

3

)

x

+

2

In order to express  

(

x

−

5

)

2

in standard form, we need to multiply it out, combining terms of like degree. We can use the FOIL mnemonic to help:

(

x

−

5

)

2

=

(

x

−

5

)

(

x

−

5

)

(

x

−

5

)

2

=

First



(

x

)

(

x

)

+

Outside



(

x

)

(

−

5

)

+

Inside



(

−

5

)

(

x

)

+

Last



(

−

5

)

(

−

5

)

(

x

−

5

)

2

=

x

2

−

5

x

−

5

x

+

25

(

x

−

5

)

2

=

x

2

−

10

x

+

25

Alternatively, we can recognise a pattern and use it.

For example:

(

a

+

b

)

2

=

a

2

+

2

a

b

+

b

2

(

a

−

b

)

2

=

a

2

−

2

a

b

+

b

2

So we could take the second of these and put  

a

=

x

,  

b

=

5

to find:

(

x

−

5

)

2

=

x

2

−

2

(

x

)

(

5

)

+

5

2

(

x

−

5

)

2

=

x

2

−

10

x

+

25

The standard form is: [tex]x^2+10x+25[/tex].

We expand the given expression.

[tex](x + 5)^2\\=x^2+2(x)(5)+5^2\\=x^2+10x+25[/tex]

So the standard form is: [tex]x^2+10x+25[/tex].

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Answer:

The triangles would match if you chose D

Answer:

You didn’t explain what we had to do....

Step-by-step explanation:

I’m not really sure...I’m sorry

Answer:

[tex]V=22\ \text{inches}^3[/tex]

Step-by-step explanation:

Given that,

Height of a triangular pyramid = 6 inches

The area of the base of the speaker is 11 square inches

We need to find the volume of the speaker.

The formula for the volume of triangular pyramid is given by :

[tex]V=\dfrac{1}{3}Ah[/tex]

A is area of base and h is height

[tex]V=\dfrac{1}{3}\times 11\times 6\\\\=22\ \text{inches}^3[/tex]

So, the volume of the speaker is [tex]22\ \text{inches}^3[/tex].

Answer:

72 in squared

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

The computation of the number of candies left in the bag is as follows:

Let us assume the cherry candies be c ;

And, grape candies be g

Now the ratio between them is 3:5

And, in the case when half of the candies are eaten and one cherry is also eaten so the ratio is

 (c - 1) ÷ (g ÷ 2) = 7 ÷ 6

After subsitution

It would be

(3 ÷ 5g - 1) ÷ (g ÷ 2) = 7 ÷ 6

Now after solving it,

g = 60

And, the c = 35

As the candies are half so it would be 30 now

So, the number of candies together is

= 35 + 30

= 65

Answer:

a

Step-by-step explanation:

it should be right

Answer:

the turning point is (-2,-1)

i dont know the turning point but i hope this helps

Step-by-step explanation:

Answer:

a) (-2 , -1)

b) (-1 , 0) and (-3 , 0)

Step-by-step explanation:

For part a)

We can find the coordinates of the turning point by seeing at the graph where it turns the other way or in simpler words the axis of symmetry so if see the graph the axis of symmetry is the line x = -2 so that means the turning point is (-2 , -1).

For finding the turning point mathematically we compare the equation to its standard form which is:

[tex]x^2+4x+3=a(x-h)^2+k[/tex]

where h is the x coordinate  and k is the y coordinate of the turning point of the equation (h , k) = (x , y).

so just solve the left side,

[tex]a(x-h)^2+k\\a((x)^2-2(x)(h)+(h)^2)+k\\a(x^2-2xh+h^2)+k\\\\ax^2-2ahx+ah^2+k=x^2+4x+3\\[/tex]

and so we compare the coefficients of x^2 on the right and left side we get

[tex]a=1[/tex]

if we compare the coefficients of x on the right and left side we get

[tex]-2ah=4\\-2(1)h=4\\-2h=4\\h=\frac{4}{-2}\\\\h=-2[/tex]

now we compare the constants on the right and left side we get

[tex]ah^2+k=3\\(1)(-2)^2+k=3\\(1)(4)+k=3\\4+k=3\\k=3-4\\k=-1[/tex]

so the turning point is (-2 , -1) proven mathematically and graphically as well

For part b)

Roots of the equation are also called as x-intercepts which means where the graph intersects/cuts the x-axis so if see the graph it cuts the x-axis at 2 points  firstly at -3 and then at -1 so the roots of the equation would be (-1 , 0) and

(-3 , 0) the y coordinate is zero when the points lies on the x-axis.

for mathematically solving the equation we would equate the equation to zero

[tex]y=x^2+4x+3\\x^2+4x+3=0[/tex]

Now solve it by either factorizing or by using the quadratic formula we would get two values for x those are the roots of the equation

we solve it by factoring

[tex]x^2+4x+3=0\\x^2+3x+x+3=0\\x(x+3)+1(x+3)=0\\(x+3)(x+1)=0\\x=-3\ ,\ x=-1\\[/tex]

proven mathematically as well as graphically.

Answer:

Ummmmm ehhhhhh

I need points for a hw

Answer:

The y-values from top to bottom are;

3, 5 , 7, 9, 11, 13, 15

Step-by-step explanation:

Here, we want to fill out the given table

Let us have an equation linking x and y

From the question, we can have this as;

y = 5 + 2x

When x = -1

y = 5 + 2(-1) = 3

when x = 0

y = 5 + 2(0) = 5

when x = 1

we simply add 2 to the previous

= 5 + 2 = 7

when x = 2

= 7 + 2 = 9

when x = 3

= 9 + 2 = 11

when x = 4

= 11 + 2 = 13

when x = 5

y = 13 + 2 = 15