(9,3) (0, 12) dtermine the slope of the line

Answer:

[tex]a_n=112\left(-\frac{1}{4}\right)^{n-1}[/tex]

Step-by-step explanation:

Geometric Sequences

There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.

In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

112, -28, 7, ...

It's easy to find out this is a geometric sequence because the signs of the terms are alternating. If it was an arithmetic sequence, the third term should be negative like the second term.

Let's find the common ratio by dividing each term by the previous term:

[tex]\displaystyle r=\frac{-28}{112}=-\frac{1}{4}[/tex]

Testing with the third term:

[tex]\displaystyle -28*-\frac{1}{4}=7[/tex]

Now we're sure it's a geometric sequence with r=-1/4, we use the general equation for the nth term:

[tex]a_n=a_1*r^{n-1}[/tex]

[tex]a_n=112\left(-\frac{1}{4}\right)^{n-1}[/tex]

Answer:6.5x=y

Step-by-step explanation:1- divide 19.50

2- get 6.5

3- add variable

4- get 6.5x=y

Answer:

1.) 3x = 19.50 (they got 6.5 and hour)  

2.) 70 adults

Step-by-step explanation:

Work for #2

[tex]\frac{14}{2}[/tex] [tex]\frac{490}{x}[/tex] then cross multiply. 14*x = 14x 490*2 = 980

So 980 = 14x (divide by 14)

x = 70

So 70 adults

Hope this helps!!!

Answer:

1. m∠1 = 45°

2. m∠1 = 129°

3. m∠1 = 37°

4. m∠1 = 88°

m∠2 = 42°

m∠3 = 113°

5. m∠1 = 62°

m∠2 = 45°

m∠3 = 24°

6. m∠1 = 128°

m∠2 = 52°

m∠3 = 47°

m∠4 = 133°

7. m∠1 = 41°

m∠2 = 85°

m∠3 = 95°

m∠4 = 85°

m∠5 = 36°

m∠6 = 50°

m∠7 = 107°

8. x = 9°

10. x = 5°

11. x = 7°

Step-by-step explanation:

1. m∠1 = 180° - (76° + 59°)  = 45°

m∠1 = 45°

2. m∠1 = 62° + 67°  = 129°

m∠1 = 129°

3. m∠1 = 152° - 115° = 37°

m∠1  = 37°

4. m∠2 = 42° (Alternate angles)

m∠1 = 180° - (50° + m∠2) = 180° - (50° + 42°) = 88°

m∠1 = 88°

m∠3 = 180° - (25° + 42°) = 113°

m∠3 = 113°

5. m∠3 = 73° - 49° = 24°

m∠3 = 24°

m∠2 = 118° - 73° = 45°

m∠2 = 45°

m∠1 = 180° - (73° + 45°) = 62°

m∠1 = 62°

6. m∠2 = 52° (Alternate interior angles)

m∠1 = 180° - 52° = 128° (The sum of angles on a straight line)

m∠1 = 128°

m∠3 = 47° (Alternate interior angles)

m∠4 = 180° - 47° = 133° (The sum of angles on a straight line)

m∠4 = 133°

7. m∠3 = 95° (Vertically opposite angles)

m∠2 = m∠4  (Vertically opposite angles)

m∠3 + 95° + m∠2 + m∠4 = 360° (The sum of angles at a point)

2 × 95° + 2 × m∠2 = 360°

m∠2 = (360° - 2 × 95°)/2 = 85°

m∠2 = 85° = m∠4

m∠2 = 85°

m∠4 = 85°

m∠1 = 360° - (85° + 140° + 90°) = 41°

m∠1 = 41°

m∠5 = 180° - 144° = 36°

m∠5 = 36°

m∠6 = 180° - (m∠5 + m∠3) = 180° - (36 + 95°) = 50°

m∠6 = 50°

m∠7 = 360° - (m∠4 - 38° - (180° - m∠6)) = 360° - (85° - 38° - (180° - 50°)) = 107°

m∠7 = 107° (Sum of angles in a quadrilateral)

8. (10·x - 11)° + (3·x - 2)° + (3·x + 1)° = 180°

Using an online application, we have;

(6·x - 12)° = 180°

x = (180 + 12)°/6 = 32°

x = 32°

9. (3·x - 5)° + (7·x + 5)° + 90° = 180°

Using an online application, we have;

10·x = 180° - 90° = 90°

x = 90°/10 = 9°

x = 9°

10. 151° = (11·x - 1)° + (20·x - 3)°

151° = 31·x - 4°

31·x = 151° + 4° = 155°

x = 155°/31 = 5°

x = 5°

11. (14·x - 13)° = (4·x + 13)° + (6·x + 2)°

(14·x - 13)° = (10·x + 15)°

(14·x - 10·x)° = (13 + 15)° = 28°

4·x = 28°

x = 28°/4 = 7°

x = 7°

1. 45°

2. 51°

3. 37°

4. 88°, 42°, 113°

5. 62°, 45°, 24°

6. 128 degrees, 52°,, 47°, 43° 83°

7. I have no clue

8. 12

9. 9

10. 5

11. 7

Answer:

The correct answer is -8 and 7

Hope you have a wonderfull day :)

Answer:

8.3 / 1

Step-by-step explanation:

Its simple... search it up

Answer:

7% of 500=7/100*500=35

Answer:

17.83 boxes

Step-by-step explanation:

Lets represent the number of boxes of books that can be brought up per time = x

From the question: The delivery person weighs 170lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1240lb.

Hence we have the Algebraic Expressions

170lb + 60 × x = 1240lb

170lb + 60x = 1240lb

Collect like terms

60x = 1240lb - 170lb

60x = 1070lb

x = 1070lb/60

x = 17.833333333

x = 17.83 boxes

Therefore, the delivery person can bring up 17.83 boxes per time

Answer:

q <= 1 or q >= 20

Step-by-step explanation:

3q + 2 / 4 <= 5

multiply by 4 to both sides

3q + 2 <= 5

substract 2 to both sides

3q <= 3

divide by 3 to both sides

q <= 1

q - 7 >= 13

add 7 to both sides

q >= 20

Answer:

7. Yes as far as I know it always is

8. It is possible but not always

9. 159.9 ft

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Something doesn't make sense. The time when his height is 0 is time t=0 and t=25.

The vertex would be halfway in between at time t=(0+25)/2 = 12.5 seconds.

But plugging that in, we get a height of:

3.90625 inches

I think you must have a typo... let's try this equation instead:

h(t) = (-0.25t)(t - 25)

In that case, the maximum at h(12.5) is 39.0625 inches.

Answer:

No, the function for his height has him just barely clearing 39 inches. He can't clear 42 inches.

10

No, according to the function for his height, he only just clears 39 inches. He is unable to jump 42 inches.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Something doesn't make sense. The time when his height is 0 is time t=0 and t=25.

The vertex would be halfway in between at time t=(0+25)/2 = 12.5 seconds.

But plugging that in, we get a height of:

3.90625 inches

h(t) = (-0.25t)(t - 25)

In that case, the maximum at h(12.5) is 39.0625 inches.

Therefore, the according to the function for his height, he only just clears 39 inches. He is unable to jump 42 inches.

To know more about an expression follow

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Answer: For G the answer is x=30, for H x is 30

Step-by-step explanation:

G. The square means 90 degrees and the equation would be 90+3x=180. Subtract 90 from both sides would give you 3x=90 and divide it by 3 would give you x=30

H. The two lines means that both sides are congruent and so 75x2=150 150+x=180 subtract 150 from both sides would give you x=30

Answer: he will eat 24 fries

Step-by-step explanation: just cuz

Answer: Choice C

We have an x axis reflection

[tex](x,y) \to (x,-y)[/tex]

The x coordinate stays the same while the y coordinate flips from positive to negative, or vice versa.

For example, point L is located at (-4,2) and it moves to L ' (-4, -2). The other points follow this same pattern.

Answer:

By looking at the sides. BC is the same as HJ and 3 is half of 6. That goes with the rest of the equation

AC = GJ

AB = HG

So then the change in BCA is Double of GHJ

Answer:

12

Step-by-step explanation:

x is almost always the number in the parentheses. y is always the answer. Hope this helps!

Answer:

Option D ( 2x-y = 6 )

Step-by-step explanation:

They have the same gradient and when x,y values are substituted in this equation, they are equal.

Answer:

d) 126

Step-by-step explanation:

I just answered this question and got it right

Answer:

126

Step-by-step explanation:

Got it right on the test.

Answer: the correct answer is C.

I took the quiz and got it right.

Answer:

im not sure but i think is c

Step-by-step explanation:

Answer:

What relationship??

Step-by-step explanation:

Answer:

x = 22.5

Step-by-step explanation:

Step 1: Write equation

2.4(x - 10) = 8 + 1.2x - 5

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

2.4(22.5 - 10) = 8 + 1.2(22.5) - 5

2.4(12.5) = 8 + 27 - 5

30 = 8 + 22

30 = 30

Answer:

x=22.5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2.4(x−10)=8+1.2x−5

(2.4)(x)+(2.4)(−10)=8+1.2x+−5(Distribute)

2.4x+−24=8+1.2x+−5

2.4x−24=(1.2x)+(8+−5)(Combine Like Terms)

2.4x−24=1.2x+3

2.4x−24=1.2x+3

Step 2: Subtract 1.2x from both sides.

2.4x−24−1.2x=1.2x+3−1.2x

1.2x−24=3

Step 3: Add 24 to both sides.

1.2x−24+24=3+24

1.2x=27

Step 4: Divide both sides by 1.2.

1.2x

1.2

=

27

1.2

x=22.5

Answer:

x=22.5

Answer: know side: 3

Unknown side: 5

Step-by-step explanation:

Answer: $25.92

Step-by-step explanation: Using proportions, I found what 8% of 24 is. 8/100 = x/24, as shown in the photo. 8 x 24 = 192. Divide by 100 for 1.92 and that is the tax. Add 1.92 to the original of 24 to get $25.92

Answer:

14/5 or 2.8

Step-by-step explanation:

Answer:

2.8 or 2 4/5

Step-by-step explanation:

Answer:

[tex]6\frac{3}{16}~,~3\frac{1}{16}[/tex]

Step-by-step explanation:

let the fractions be x and y,then

[tex]x+y=9\frac{1}{4}=\frac{37}{4}=\frac{74}{8}\\x-y=3\frac{1}{8}=\frac{25}{8}\\adding\\2x=\frac{74}{8}+\frac{25}{8}=\frac{99}{8}\\x=\frac{99}{16}=6\frac{3}{16}\\again ~subtracting\\2y=\frac{74}{8}-\frac{25}{8}=\frac{49}{8}\\y=\frac{49}{16}=3\frac{1}{16}\\[/tex]

Answer:

The length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

Step-by-step explanation:

She has 14 feet of edging to go around the collage.

14 feet = Perimeter of the triangle

The Perimeter of a Triangle = a + b + c where

a = smallest side

b = other side(second side)

c = Longest side

From the question, we are told that:

If the longest side is twice the smallest

c = 2a

The other side is four less than three times the smallest,

The other side = b

b = 3 × a - 4

b = 3a - 4

Hence,

P = a + b + c

14 = a + 3a - 4 + 2a

14 = a + 3a + 2a -4

14 = 6a - 4

Collect like terms

14 + 4 = 6a

18 = 6a

a = 18/6

a = 3ft

Therefore the smallest side = 3

The Longest side(c) = 2a

c = 2 × 3

c = 6ft

The other side(b) = 3a - 4

= 3(3) - 4

= 9 - 4

= 5 feet.

Therefore, the length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

Answer:

https://brainly.com/question/11536615

Step-by-step explanation:

Answer:

known facts:

The graph of y=f(x−a), a>0

y=fx-a, a>0  

can be obtained by shifting graph y=f(x)

y=fx, a units right side of x-axis. The graph of y=f(x)+a, a>0 y= fx+ a,a>0

can be obtained by shifting graph y=f(x)

y=fx, a units upwards along y-axis.

Adrienne said:

a vertical stretch by a factor of 4, a horizontal shift to the left 1 unit and a vertical shift down 3 units of the graph of the parent function f(x)=ex

f(x)=e^x

produce the graph of the function g(x)=4ex−1+3

g(x)=4e^x-1+3.

by the above known facts, it can be concluded that

Adrienne is not correct

Step-by-step explanation:

i hope this helps you, i'm still doing it but i have to go for a min, one sec! <3

the correct transformations for the function g(x) = 4eˣ - 1 + 3 from the parent function f(x) = eˣ are:

- Vertical Stretch by a factor of 4.

- Horizontal Shift to the Right 1 unit.

- Vertical Shift Down 3 units.

Adrienne's statement about the transformations applied to the parent function f(x) = eˣ is not entirely correct. Let's analyze the given function g(x) = 4eˣ - 1 + 3 and determine the correct transformations.

1. Vertical Stretch by a factor of 4: This transformation is correct. Multiplying the function by 4 causes a vertical stretch, which magnifies the y-values by a factor of 4.

2. Horizontal Shift to the Left 1 unit: Adrienne incorrectly mentioned a horizontal shift to the left. In the given function, g(x), there is no explicit horizontal shift. The -1 in g(x) = 4eˣ - 1 + 3 is actually a reflection of the graph across the y-axis, causing a horizontal shift to the right by 1 unit. So, there is a horizontal shift to the right by 1 unit, not to the left.

3. Vertical Shift Down 3 units: This transformation is correct. Adding 3 to the function shifts the graph vertically downward by 3 units.

Therefore, the correct transformations for the function g(x) = 4eˣ - 1 + 3 from the parent function f(x) = eˣ are:

- Vertical Stretch by a factor of 4.

- Horizontal Shift to the Right 1 unit.

- Vertical Shift Down 3 units.

Learn more about transformations here

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Answer:

n = -8

Step-by-step explanation:

Original Equation:

8n + 8 = -56

Subtract 8 from boths sides.

8n = -64

Divide both sides by 8

n = -8

Hope this helped :)

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Step-by-step explanation:

its -8

8n + 8 = 56

8n + 8 - 8 = 56 - 8

8=−64

8n/ 8 -= -64

8n / 8 = -64 / 8

simplified = n = - 8

n equals -8