The graph of a function is shown on the grid.
Which ordered pair best represents the location of the y-intercept?

Answer:  Choice A.   4 times

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Explanation:

We'll be using this formula

[tex]m = \frac{f(b)-f(a)}{b-a}[/tex]

to compute the average rate of change (AROC) from x = a to x = b. Note how this is effectively the slope formula because y = f(x).

To start things off, we'll compute the AROC from x = 1 to x = 2.

[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(2)-g(1)}{2-1}\\\\m = \frac{5(2)^2-5(2)^1}{2-1}\\\\m = \frac{10}{1}\\\\m = 10\\\\[/tex]

Do the same for the AROC from x = 3 to x = 4.

[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(4)-g(3)}{4-3}\\\\m = \frac{5(2)^4-5(2)^3}{4-3}\\\\m = \frac{40}{1}\\\\m = 40\\\\[/tex]

The jump from m = 10 to m = 40 is "times 4", which is why choice A is the final answer.

Step-by-step explanation:

(i)

Using cos(a - b) = cos a cos b + sin a sin b

[tex]\frac{4}{5}[/tex] = cos a cos b + [tex]\frac{1}{5}[/tex]

cos a cos b = [tex]\frac{4}{5} -\frac{1}{5} = \frac{3}{5}[/tex]

(ii)

Using cos(a + b) = cos a cos b - sin a sin b

cos(a + b) = [tex]\frac{3}{5}-\frac{1}{5}=\frac{2}{5}[/tex]

(iii)

Using cot a = [tex]\frac{cos a}{sin a}[/tex]

[tex]=(\frac{cos A}{sin A} )(\frac{cos B}{sin B} )[/tex]

[tex]=\frac{cos A cos B}{sin A sin B}[/tex]

[tex]=\frac{\frac{3}{5} }{\frac{1}{5} }[/tex]  [tex]=\frac{3}{5}[/tex] × [tex]5[/tex]

= 3

please give me a brainliest answer

Answer:

20

Step-by-step explanation:

Let blank be x

[tex]\\ \sf\longmapsto \dfrac{3}{7}=\dfrac{x}{35}[/tex]

[tex]\\ \sf\longmapsto 7x=35(3)=105[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{105}{7}[/tex]

[tex]\\ \sf\longmapsto x=15[/tex]

Answer:

25,160

Step-by-step explanation:

17,000 x 0.04 = 680

Town gains 680 people every year.

After 12 years, town will have 25,160 people.

This could also be wrong because it may be 4%+ the added people from the previous number. However, I think it is 25,160.

Answer:

3w + x/z + y

That is simplest form

Answer:

m1 is 25 and m2 is 50

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

x+2x=75

Answer:

3/10 or 0.3

Hope this helps

the awnser is 0.3 .......................

The function is increasing where the slope is positive. The slope is positive from 4 to infinity.

Hope this helps!! :)

Answer:

198

Step-by-step explanation:

?/4        110/5

cross-multiply 4*110

440

divide 440/5

88 men

add total employees

110 women + 88 men = 198

Answer: 65

Step-by-step explanation:

Answer:

a1=5

d=9-5=4

a20=5+19×4=81

Answer:

It's between 0 and 1

Step-by-step explanation:

1/64 = 0.015625

Answer:

Angle of elevation= 180- (20- 55)

180- 75

105°

Answer:

x = 6

Step-by-step explanation:

All angles of a triangle equal 180

180 - 70 - 60 = 50

8x+2 = 50

x = 6

Answer:

x = 6

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

70 + 60 + 8x + 2 = 180 , collect like terms

132 + 8x = 180 ( subtract 132 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Answer:

y = 4

Step-by-step explanation:

The three lines means those segments are equal

4y+8 = 24

Subtract 8 from each side

4y+8-8 = 24-8

4y = 16

Divide each side by 4

4y/4 = 16/4

y = 4

I think it's 0.075 inch per year

Answer:

Your answer is C. or 0.075 inches per year.

Step-by-step explanation:

251-248 = 3 ( To figure out how much it grew )

2005 -1965 = 40   ( To figure out how long it took )

3/40 = 0.075

Answer:

it's a negative number. the answer would be

Step-by-step explanation:

-12

Step-by-step explanation:

the answer is in the image above

Answer: p = [tex]\frac{-n}{500} +68[/tex]

Step-by-step explanation:

Let n represent the number of shirts and p represent the price, the there is a linear relationship between n and p, then the model equation is given as:

p = mn + b, where

m = slope and b is the intercept

From the question, when n = 1000, p = $66

And, when n = 10,000 , p = $48

The formula for finding slope is given as:

m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

[tex]y_{1} = 66[/tex]

[tex]y_{2} = 48[/tex]

[tex]x_{1} = 1000[/tex]

[tex]x_{2} = 10000[/tex]

substituting the values,

m = [tex]\frac{48-66}{10000-1000}[/tex]

m = [tex]\frac{-18}{9000}[/tex]

m = [tex]\frac{-2}{1000}[/tex]

m = [tex]\frac{-1}{500}[/tex]

The linear equation thus becomes

p = [tex]\frac{-n}{500}+b[/tex]

To find the value of b, substitute  p = 66 and n =1000 into the equation

That is,

66 = [tex]\frac{-1000}{500}+b[/tex]

66 = -2 + b

68 = b

Therefore b = 68

The linear equation is therefore

p = [tex]\frac{-n}{500} +68[/tex]

First, raise the denominator (27) to the power of 1:

3^-(x-2) = 1/27^1

Next, use the negative exponent rule that is represented by the equation of 1/b^n = b^-n and then move 27 to the numerator:

3^-(x-2) = 27^-1

Rearrange the term so that both equations have the same base:

3^-(x-2) = 3^-3

Now when noticing how this has been completed, it is noticed that since both of these equations have the same bases, the only thing left to do is have the exponents equal one another. For now, ignore the bases and focus only on the two sets of exponents -(x - 2) and (-3). Lets make a new equation with only the exponents:

-(x - 2) = -3

Next, add the distributive property on the left side of the equation to remove the - sign outside (Note: Double negatives equal positive)

-x + 2 = -3

Subtract 2 from both sides:

-x = -5

Finally, it is asking for positive x not negative, so divide both sides by -1:

x = 5

So, the answer is A which is 5.

If 3-(x - 2) = 1/27 then the value of x is a) 5.

To solve for x, we'll follow these steps:

1. Distribute:

Distribute the negative sign into the parentheses:  

3 - (x - 2) = 1/27

3 - x + 2 = 1/27

Simplify:

5 - x = 1/27

2. Isolate x:

To solve for x, we need to get it alone on one side of the equation. Subtract 5 from both sides:

5 - x - 5 = 1/27 - 5

-x = -134/27

3. Multiply by -1:

To solve for x, multiply both sides by -1 to isolate x:

-1 * -x = -1 * -134/27

x = 134/27

4. Simplify:

[tex]x = \approx 4.9629[/tex]

Since none of the given options exactly match the calculated value, we can see that option a) 5 is the closest answer.

However, the precise solution is a fraction between 4 and 5, so none of the provided options is an exact match.

In summary, while none of the given options is an exact solution, the closest answer is a) 5.

To know more about Equation here

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Complete Question

Choose the correct answer from the given options:

If 3-(x - 2) = 1/27, what is the value of x?

a) 5

b) 3

c) -1

d) -5

Answer: [tex]\sqrt{73}[/tex] for number 7

Step-by-step explanation:

a²+b²=c²

3²+8²=c²

9+64=c²

[tex]\sqrt{73}=\sqrt{c^2}\\\sqrt{73}=c[/tex]

Answer:

300.104

Step-by-step explanation:

3x100=300

1x(1/10)=0.1

4x(1/1,000)=0.004

300+0.1+0.004=300.104

The statement that compares the distribution shapes is (C) Team A's scores are negatively skewed, and team B's are symmetric.

From the complete question (see attachment for box plots), we have the following highlights:

Hence, the statement that compares the distribution shapes is (C) Team A's scores are negatively skewed, and team B's are symmetric.

Read more about skewness at:

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Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

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The longest side measures :

Perimeter of a triangle is equal to sum of measures of its all three sides, that is :

and according to the question, the perimeter of the triangle is = 65 cm

so, let's equate both the expressions to find value of x :

The longest side of the Triangle is :

27cm

Step-by-step explanation:

(xcm) + (x+8cm) + ( x+ 12cm) = 65cm

Open Bracket

xcm + x+8cm + x+12cm = 65cm

3x+ 20cm = 65cm

Collect like terms

3x = 65cm - 20cm

3x = 45cm

Divide both sides by 3

3x/3 = 45cm/3

x = 15cm

The longest side of the triangle =( x+12cm)

= (15+12)cm= 27cm