The equation shows the relationship between the amount of money (y) remaining in Leigh's money box and the number of months (X)
Function 2
y = -9x + 60
Which statement explains which function shows a greater rate of change?
O Function 1 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $9 each month.
O Function 1 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $60 each month.
O Function 2 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $60 each month.
O Function 2 shows a greater rate of change, because Morgan spends $50 each month and Leigh spends -$9 each month.

Problem 1

We have two possible answers here.

Either AC = DF is needed, or AB = DE is needed

We can't use BC = EF, as that would be ASA. The sides cannot be between the marked angles. With AAS, the sides are not between the angles.

Note: AC pairs up with DF because both segments have an endpoint at an angle with one arc marking. AB pairs up with DE because one endpoint has a double arc marking.

==========================================

Problem 2

We have a pair of congruent sides (due to the tickmarks) and a pair of congruent angles. We need another pair of angles. We can't pick angle B = angle E, as that would give us ASA. So we must pick the other pair of angles

angle A = angle D

If angle A = angle D, then we have enough to use AAS.

Answer: E 265   M 272  P 277

Step-by-step explanation:

English 265

math 265+7=272

Physics 272+5=277

Answer:

x > 17

Step-by-step explanation:

Combine like terms,  We get:

2x > 34, or

x > 17

Answer:

10/7

Step-by-step explanation:

5x+2x=10

7x=10

x=10/7

Answer:

A

Step-by-step explanation:

Given

x² + 3x - 18

Consider the factors of the constant term (- 18) which sum to give the coefficient of the x- term (+ 3)

The factors are + 6 and - 3, since

6 × - 3 = - 18 and 6 - 3 = + 3, thus

x² + 3x - 18 = (x + 6)(x - 3) → A

Answer:

( x+6) ( x-3)

Step-by-step explanation:

x^2 + 3x - 18

What 2 numbers multiply to -18 and add to 3

6*-3 = -18

6+-3 = 3

( x+6) ( x-3)

Answer:

x = 4

Length = 19 feet

Width = 11 feet

Step-by-step explanation:

Area = Length x Width

Area = 209 ft²

Length = (4x + 3)

Width = (4x - 5)

Find:

x

Length

Width

Area = Length x Width

209 = (4x + 3) * (4x - 5)

209 = 16x² - 8x - 15

16x² - 8x - 15 = 209

16x² - 8x - 15 - 209 = 209 -209

16x² - 8x - 224 = 0

use quadratic equation to solve x:

      -(-8) + sqrt( -8² - 4 * 16 * (-224))

x =  --------------------------------------------

                   2 * 16

x = 4, x = -(7/2)   ----therefore use x = 4

solve for L:

Length = (4x + 3)

Length = (4 * 4 + 3)

Length = 19 feet

solve for W:

Width = (4x - 5)

Width = (4 * 4 - 5)

Width = 11 feet

check:

Area = Length x Width

209 = (4x + 3) * (4x - 5)

Area = Length x Width

209 = 19 * 11

209 = 209  ----- OK

Answer: Simplifying ratios is just like simplifying fractions. Think of ratios as fractions. You divide a number that both numerator and denominator can be divided by.

Example

5/10 = 1/2

How did we get 1/2? Simple! You divide the numerator and denominator by 5.

5/10÷5/5=1/2

You do the same for ratios but the only difference is instead of putting a fraction bar (/) you put a colon (:)

Let's try another example but with a ratio!

Example

5:10 = 1:2

How did we get 1:2? Simple! Again we divided by 5 just like we did with the fraction example! So really ratios are just like fractions!

5:10÷5:5=1:2

Remember

The fraction bar is /

The ratio bar is :

Ratios are just like fractions but the symbol can sometimes trick people.

Answer: The table on the top right corner

Answer: Answer in the steps

Step-by-step explanation:

x       y  

0      3

1        1

2        -1

3        -3

This a linear function because as the y values decrease by a constant amount the x values also increase by a constant amount.

Answer:

Step-by-step explanation:

Using the formula for calculating the simple interest expressed as;

Simple Interest = Principal * rate * time/100

Note that the principal is the amount he originally borrowed

I = PRT/100 ............ 1

Amount paid off A = Principal+Interest

A = P+I ............ 2

From equation 2; I = A-P......... 3

Substitute equation 3 into 1;

A-P = PRT/100

Given A = $440, R = 10%, Time = 1year

Substitute the given parameters into the resulting equation;

440 - P = P*10*1/100

440-P = 10P/100

440-P = 0.1P

440 = 0.1P+P

440 = 1.1P

Divide through by 1.1;

1.1P/1.1 = 440/1.1

P = $400

Hence the amount Mr Noel originally borrow is $400

Answer:

-1

Step-by-step explanation:

If i = √-1, then i^2 = -1.

Answer:

[tex]\bold{268=225+}l[/tex]

43

Step-by-step explanation:

Given that:

Total points scored in basketball season, T = 268

Points scored from right handed shots, R = 225

Points scored from left handed shots = [tex]l[/tex]

To find:

To write an equation to describe the situation and find the value of [tex]l[/tex] for left handed shots ?

Solution:

We know that the points can be scored in basketball either by right hand shots or by left hand shots.

In other words, we can say that:

Total points scored in basketball season = points scored from right handed shots + points scored from left handed shots

i.e.

[tex]T = R + l\\\Rightarrow \bold{268=225+}l[/tex]

So, the equation is:

[tex]\bold{268=225+}l[/tex]

Now, let us find the value of [tex]l[/tex] from the above equation:

[tex]l=268-225\\\Rightarrow \bold{l = 43}[/tex]

Number of points scored from left handed shots = 43

Answer:

It helps because it gets you thinking. Personally, it would motivate me because that process itself is very helpful. Brainstorm will get you your idea, you can decide if you want to do it or not, then you work on it, and because you have the right attitude towards whatever you are working on, you'll enjoy it!

Answer:

A. 27°

Step-by-step explanation:

Given that s is perpendicular to r, and <1 = 3x, <2 = 5x + 18, therefore:

m<1 + m<2 = 90°

3x + (5x + 18) = 90°

Solve for x using this equation

3x + 5x + 18 = 90

8x + 18 = 90

Subtract 18 from both sides

8x + 18 - 18 = 90 - 18

8x = 72

Divide both sides by 8

x = 9

Find m<1

m<1 = 3x

Plug in the value of x

m<1 = 3(9) = 27°

Hey there! I'm happy to help!

First, let's find the area of the total trapezoid. To do this, you add the top and bottom side, divide it by two, and then multiply by the height.

We add up the values that make up the top side so we can find find its length.

6.1+8.1+9.5=23.7

The bottom side is 8.1

We add the top and bottom sides.

23.7+8.1=31.8

We divide by 2.

31.8/2=15.9

We multiply by the height, which we can see is 6.2

15.9×6.2=98.58

Now, we find the area of the rectangle that isn't shaded.

6.2×8.1=50.22

We subtract this from the total area of the trapezoid to find the total area of the two shaded triangles.

98.58-50.22=48.36

Therefore, the shaded regions have a total area of 48.36 cm².

Have a wonderful day! :D

the answer x=8.5

if ur trying to solve for x

Answer:

The similarities are;

1) The tangent slope of the tangent graph and the cotangent graph are always the same sign through out

2) The period of each trigonometric ratio cot and tan is π/2

The differences are;

1) The sign of tangent function always positive while that of the cotangent function always negative

2) Where the value of cot x ranges from undefined to 0, the value of tan x ranges from 0 to undefined in the same domain

Step-by-step explanation:

Answer:

AC = 10sin40°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] , then

sin40° = [tex]\frac{AC}{10}[/tex] ( multiply both sides by 10 )

10sin40° = AC

The length of the side AC of the triangle is AC = 10 ( sin ( 40 )° )

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of ∠ABC = 40°

The height of the triangle AC = b

The base of the triangle BC = a

The hypotenuse of the triangle AB = 10 inches

Now , for a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

And , the trigonometric relation is

sin 40° = opposite side / hypotenuse

sin ( 40 )° = AC / 10

Multiply by 10 on both sides , we get

AC = 10 ( sin ( 40 )° )

Hence , the measure of the hypotenuse of triangle is AC = 10 ( sin ( 40 )° )

To learn more about triangle click :

https://brainly.com/question/16739377

#SPJ5

Answer:

Quantity of rice cooked in October = 71.3 kg

Step-by-step explanation:

Given:

Quantity of rice cooked per week = 16.1 kg

Number of days in a week = 7

Number of days in October = 31

Find:

Quantity of rice cooked in October

Computation:

Quantity of rice cooked in October = [Number of days in October / Number of days in a week] Quantity of rice cooked per week

Quantity of rice cooked in October = [31 / 7]16.1

Quantity of rice cooked in October = 71.3 kg

Answer:

75%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

I'm sure you meant "percent," not "present."

If 25% of the square is shaded, then the percent that is not shaded is 75%.

Answer:

Step-by-step explanation:

GO TO TIBET AND DO KHETI AS YOU DO IN "INDIA"

Answer:

Terrence farming, removing snow use stronger tools ,heavy machines, wait for the weathering of rocks

please mark as brainliest

Answer:

2/9

Step-by-step explanation:

5 dimes and 5 pennies = 10 coins

P( dime) = number of dimes / total

            =5/10 = 1/2

keep the dime

4 dimes and 5 pennies = 9 coins

P( penny) = number of penny / total

                 =4/9

P( dime, keep, penny) = 1/2 * 4/9 = 2/9

=================================================

Explanation:

There are 5+5 = 10 coins total, of which 5 are dimes. The probability of selecting a dime is 5/10 = 1/2.

The coin is not put back, so we have 10-1 = 9 coins overall. Of this, 5 are pennies. The probability of pulling a penny out is 5/9. Note how this is dependent on the first event above.

From here, multiply the two probabilities

(1/2)*(5/9) = 5/18

The rule used here is

P(A and B) = P(A)*P(B given A)

where A and B are the events "pulling out a dime on the first selection" and "pulling out a penny on the second selection"

Answer:

m = 3

Step-by-step explanation:

Given

[tex]5^{4m}[/tex] = [tex]5^{12}[/tex]

Since the bases on both sides are equal ( both 5) the equate the exponents.

4m = 12 ( divide both sides by 4 )

m = 3

Answer:

x= 8.4

Step-by-step explanation:

y=0.8

4x + 8y =40

4x + ( 8 x 0.8) = 40

4x + (6.4)  =40

4x = 40 - 6.4

4x = 33.6

x = 8.4

Answer:

$23

Step-by-step explanation:

Answer:

$23 is how much he will owe

Answer:

3.52x

Step-by-step explanation:

Let

Quantity of tickets=4

Price of tickets=x

Discount=12%

This means, you will pay 100% -12%

=88%

Total amount payable=discount (quantity * price)

= 88% ( 4 * x )

= 0.88 (4x)

= 3.52x

Complete question :

Alana drink 3 Liters of water yesterday Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.

Did Jada drink more or less water than Elena? Explain how you know

Did Lin drink more or less water than Elena? Explain how you know.

Answer:

Kindly check explanation

Step-by-step explanation:

Amount of water drank:

Elena = 3 litres

Jada's consumption = 3/4 times Elena's consumption,

Hence Jada's consumption = (3 * 3/4) = 9/4 litres = 2 1/4 litres

Lin drank twice as much water as Jada, Hence,

Lin's consumption = (2 * 9/4) = 18/4 litres = 4 1/2 litres

Did Jada drink more or less water than Elena?

Jada drank less than Elena.

Explain how you know:

Jada drank 2 1/4 litres compared to Elena, who drank 3 litres

Did Lin drink more or less water than Elena?

Lin drank more than Elena

Explain how you know.

Lin drank 4 1/2 litres, which is greater than the 3 litres drank by Elena.

Answer:

d=6 2/3 or 6.6666

Step-by-step explanation:

3(d+4)=32

3d+12=32

3d=32-12

3d=20

d=6 2/3 or 6.6666

Answer:

8t^3-36t^2+54t-27

Step-by-step explanation:

(2t-3)^3

(2t-3)(2t-3)(2t-3)

Multiply the first two terms

(4t^2 -6t -6t+9)(2t-3)

Combine like terms

( 4t^2 -12t +9) ( 2t-3)

Multiply

2t*( 4t^2 -12t +9) -3 ( 4t^2 -12t +9)

Distribute

8t^3 -24t^2 +18t-12t^2 +36t-27

Combine like terms

8t^3-36t^2+54t-27

Answer:

8t³ - 36t² + 54t - 27

Step-by-step explanation:

(2t - 3)³

(2t - 3)(2t - 3)(2t - 3)

FOIL the first two binomials - first - outer - inner - last

(2t - 3)(2t - 3)

= 4t² - 6t - 6t + 9

= 4t² - 12t + 9

multiply this polynomial by the last binomial

(4t² - 12t + 9)(2t - 3)

distribute 2t

2t • 4t² = 8t³

2t • -12t = -24t²

2t • 9 = 18t

distribute -3

-3 • 4t² = -12t²

-3 • -12t = 36t

-3 • 9 = -27

combine

8t³ - 24t² + 18t - 12t² + 36t - 27

simplify

8t³ - 36t² + 54t - 27