Question 24 (1 point)

Leanne has a gas card that has $150 on it. She spends $25 a week on gas. Write a recursive

rule that represents the amount of money she has on her gas card after the first week.

Step-by-step explanation:

(x+2)^(-1/5) - (x+2)^(-6/5)

Factor out (x+2)^(-1/5):

(x+2)^(-1/5) [ 1 - (x+2)^(-5/5) ]

(x+2)^(-1/5) [ 1 - (x+2)^-1 ]

(x+2)^(-1/5) [ 1 - 1/(x+2) ]

Common denominator:

(x+2)^(-1/5) [ (x+2)/(x+2) - 1/(x+2) ]

(x+2)^(-1/5) [ (x+2-1)/(x+2) ]

(x+2)^(-1/5) [ (x+1)/(x+2) ]

[tex](x+2)^{-\frac{1}{5}}-(x+2)^{-\frac{6}{5}}[/tex]

[tex]\dfrac{1}{(x+2)^{\frac{1}{5}}}-\dfrac{1}{(x+2)^{\frac{6}{5}}}[/tex]

[tex]\dfrac{1}{\sqrt[5]{x+2}}-\dfrac{1}{(x+2)\sqrt[5]{x+2}}[/tex]

[tex]\boxed{\dfrac{x+1}{\sqrt[5]{x+2}\cdot(x+2)}}[/tex]

Hope this helps.

r3t40

Answer:

D

Step-by-step explanation:

y = -0.2 x²

This has a negative sign, as opposed to y = x², so it will point in the opposite direction.

The leading coefficient (0.2) is less than 1.  This means the parabola is shrunk vertically, or stretched horizontally.  So the parabola is wider than y = x².

Final answer:

The graph of y = -0.2x² is wider than and opens in the opposite direction of the graph of y = x² due to the negative and smaller in absolute value coefficient.

Explanation:

The comparison of the graphs of y = -0.2x² and y = x² is affected by the coefficients of the x² term. In the case of y = x², the coefficient is positive (1), implying the graph is a parabola that opens upwards. On the other hand, the negative coefficient (-0.2) in y = -0.2x² indicates the graph is also a parabola but opens downwards.

Furthermore, the absolute value of the coefficient affects the width of the parabola. A coefficient smaller in absolute value than 1, such as -0.2, makes the parabola wider than the parabola of y = x², which is the standard case. Therefore, the graph of y = -0.2x² is wider than and opens in the opposite direction of the graph of y = x².

Answer:

A'(-1, -1)

Step-by-step explanation:

Dilation about the origin multiplies each individual coordinate value by the dilation factor.

A' = (1/3)A = (1/3)(-3, -3) = (-1, -1)

Answer:

(-1, -1)

Step-by-step explanation:

When you figure scale factor, it's always a number that's multiplied into the coordinates of the pre-image.  The coordinates of A are (-3, -3), so multiplying in the scale factor of 1/3 divides each of those coordinates by 3.  -3/3 = -1

Answer:

2

Step-by-step explanation:

Let x be the original number.

x/2 +11=12

Now solve for x

x=2

Answer:

The number was 2

Step-by-step explanation:

To solve this you would just have to work backwards using the inverses of operations previously used

First you would subtract 11 from 12:

12-11=1

Then you would multiply by 2:

1 x 2=2

Answer:

   A)  $257.83

Step-by-step explanation:

A spreadsheet or financial calculator will tell you the monthly payment on $11,000 at 5.9% annual rate for 4 years is ...

  $257.83

Answer:

  C. Has held several jobs in the last three years

Step-by-step explanation:

Stable employment is a positive with respect to creditworthiness. Changing jobs frequently is considered a negative.

__

The lack of credit history other than one credit card can also detract from Penny's creditworthiness. Lenders like to see that a few other lenders have extended you credit, and that all your payments have been "as agreed."

Answer:

X would be the unit of measure (weight) and Y would be the ammount. In a equation that would be, 2x = y.

Answer:

The values of both x and y will be greater than or equal to zero.

Step-by-step explanation:

We are given that

Cost of 1 pound of peaches=$2

If x represents the number of pounds of peaches bought.

Total cost of the peaches represented by y.

We have to find the the values of x and y which describes the best.

To find the total cost of peaches we will multiply the cost of one pound with total number of pounds of peaches.

If cost of  1 pound of peaches=$2

Cost of x pounds of peaches=[tex]2\times x=2x[/tex]

Therefore, the total cost of x pounds of peaches, [tex]y=2x[/tex]

Weight of a thing  is always greater than 0 or equal to .

The total cost of a thing   is always greater than or equal to zero.

Therefore,the values of both x and y will be greater than or equal to zero.

[tex]\displaystyle\\\sum_{n=3}^5(-2x-4n)=-2x-4\cdot3+(-2x)-4\cdot4+(-2x)-4\cdot5\\\sum_{n=3}^5(-2x-4n)=-6x-12-16-20\\\sum_{n=3}^5(-2x-4n)=-6x-48[/tex]

Answer:

P= 3

Q= -14

R= -5

Step-by-step explanation:

Just solve the equation on the right side, you'll get:

=3x^2 -15x +x -5

=3x^2 -14x -5

Now compare it to the equation on the left side,

The coefficient of x^2 on the left is "p", on the right that we just solved is 3.

Same for "q" which is the coefficient on the left, on the right it's -14.

And for "r" it's -5 from the equation on the right.

Expanding the right side of the equation (3x + 1)(x - 5), we get 3x^2 - 14x - 5. Matching coefficients, we find that p = 3, q = -14, and r = -5.

To solve for the values of p, q, and r that will make the equation px2 + qx + r = (3x + 1)(x - 5) true, we need to expand the right side and then compare coefficients. Expanding the right side, we have:

3x2 - 15x + x - 5

This simplifies to:

3x2 - 14x - 5

Now, we match the coefficients from the expanded form to the left side of the equation:

p must match the coefficient of x2, which is 3.

q must match the coefficient of x, which is -14.

r must match the constant term, which is -5.

Therefore, the correct values are:

A. p = 3

D. q = -14

E. r = -5

Answer:

(-8, 135°)

Step-by-step explanation:

(8, -45°) has magnitude 8 and direction -45°.

If we add 180° to the direction and change the sign of the magnitude, we'll have the same point.

(-8, -45° + 180°) = (-8, 135°)

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let x is the money deposit in the bank and y is the money deposit in stock fund.

Therefore,

x + y = 27000

x  = 27000 - y

The bank account will pay 2.4% annual interest.

[tex]\frac{2.4}{100}x+x=1.024x[/tex]

Stock fund pays 7.2% annual interest.

[tex]\frac{7.2}{100}y+y=1.072y[/tex]

Therefore,

1.024 x + 1.072 y = 1.06 × 27000

Substitute the x  = 27000 - y in above equation.

1.024 (27000 − y) + 1.072 y = 1.06 × 27000

27648 − 1.024 y + 1.072 y = 28620

0.048 y = 28620-27648

0.048 y = 972

y = 20250

Now, substitute the y = 20250 in x  = 27000 - y.

x = 27000 − 20250

x = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

Answer:

A. AE, EC

Step-by-step explanation:

Because you know that the bottom two angles are congruent, you can conclude that this is an isosceles triangle. This means that the sides are congruent.

Answer:

45

Step-by-step explanation:

So more than 3 people.

Families with 4 =245

Families with 5=125

Families with 6=66

Families with 7=10

Families with 8=4

Add up (this will be our numerator)

Add up all the frequency numbers to get your denominator.

So the answer is =450/1000=45/100=45%

Answer:

The percentage of the students scored an A in neither Math 101 nor English 101 is 55%

Step-by-step explanation:

* Lets study the meaning of or , and on probability

- The use of the word or means that you are calculating the probability

  that either event A or event B happened

- Both events do not have to happen

- The use the word and, means that both event A and B have to happen

* The addition rules are:

# P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen

  at the same time)

# P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they  

  have at least one outcome in common)

- The union is written as A∪B or “A or B”.  

- The Both is written as A∩B or “A and B”

* Lets solve the question

- There are 100 student enrolled in both math and English Exams

- 30% of them scored an A in Math

- 35% of them scored an A in English

- 20% of them scored an A in both

- To find the neither lets find either and then subtracted from the total

∵ P(A or B) = P(A) + P(B) - P(A and B)

∵ P(Math) = 30%

∵ P(English) = 35%

∵ P(Math ∩ English) = 20%

∴ P(Math ∪ English) = 30% + 35% - 20% = 45%

- To find the neither subtract either from the total

∵ The total of students who enrolled is 100

∴ The percentage of the students who enrolled is 100%

∴ The percentage of the students scored an A in neither Math nor

   English = 100% - 45% = 55%

* The percentage of the students scored an A in neither Math 101 nor

   English 101 is 55%

To find the percentage of students who scored an A in neither Math 101 nor English 101, subtract the percentage of students who scored an A in both subjects from the total percentage of students who scored an A in either subject.

To find the percentage of students who scored an A in neither Math 101 nor English 101, we need to subtract the percentage of students who scored an A in both subjects from the total percentage of students who scored an A in either Math 101 or English 101.

Given that 30% of the students scored an A in Math 101, 35% of the students scored an A in English 101, and 20% of the students scored an A in both subjects, we can calculate the percentage of students who scored an A in neither subject as follows:

Percentage of students who scored an A in neither subject = 100% - (Percentage of students who scored an A in Math 101 + Percentage of students who scored an A in English 101 - Percentage of students who scored an A in both subjects)

= 100% - (30% + 35% - 20%)

= 100% - 45%

= 55%

Answer:

4^ (r-s)

Step-by-step explanation:

When the bases are the same, and we are dividing, we subtract the exponents

x^a ÷ x^b = x^ (a-b)

4^r ÷ 4^s = 4^ (r-s)

Answer:

The answer is C.

Step-By-Step Explanation:

Once you combine the like terms of 5x^2-8x-7 and 2x^2-3x-7 you get 7^2-11x-5. Then you need to subtract x^2-9x-4 from 7^2-11-5x. Then you will get the answer which is C.

Answer:

  C.  6x² -2x -1

Step-by-step explanation:

You want the sum of ...

  (5x² -8x +2) + (2x² -3x -7) - (x² -9x -4)

Eliminating parentheses gives ...

  5x² -8x +2 +2x² -3x -7 -x² +9x +4

Grouping like terms, we have ...

  (5x² +2x² -x²) + (-8x -3x +9x) + (2 -7 +4)

Then combining like terms gives ...

  6x² -2x -1 . . . . matches choice C

Answer:

22.20 is the correct answer! Hope I helped.

The measure of angle A is 22.19°.

A triangle is a polygon with three sides, vertices, and angles.

The length of the sides of a triangle ABC is

AB = 12 cm

BC = 5 cm

CA = 9 cm

The angle of the law of cosines has to be used to determine the value of angle A

b² = a²+c² - 2 ac cos A

Substituting the values

5² = 12² + 9² -2 * 12 *9 cos A

cos A = 0.9259

A = 22.19°

Therefore, the measure of angle A is 22.19°.

To know more about Triangle

https://brainly.com/question/2773823

#SPJ2

Answer

93 boxes

Step-by-step explanation:

Week one= 3 boxes

Week two= 2×3=6 boxes

Week three= 2×6=12 boxes

Week four= 2×12=24 boxes

Week five= 2×24=48 boxes

Total number of boxes sold is the sum for boxes sold in week 1,2,3,4 and 5

[tex]T=3+6+12+24+48=93[/tex]

Answer:

Step-by-step explanation:

Week one= 3 boxes

Week two= 2×3=6 boxes

Week three= 2×6=12 boxes

Week four= 2×12=24 boxes

Week five= 2×24=48 boxes

Total number of boxes sold is the sum for boxes sold in week 1,2,3,4 and 5

T=3+6+12+24+48=93

[tex]\bf 4~~,~~\stackrel{4+5}{9}~~,~~\stackrel{9+5}{14}~~,~~\stackrel{14+5}{19}~~,~~\stackrel{19+5}{24}\qquad \impliedby \stackrel{\textit{common difference}}{d=5} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=4\\ d=5 \end{cases} \\\\\\ a_n=4+(n-1)5\implies a_n=4+5n-5\implies a_n=5n-1[/tex]

The answer, I think, is (1, -5);(4,3).

Answer:

1, −5); (4, 3)

Step-by-step explanation:

The starting point coordinates and the changes in x or y of each movement are given.  

Draw the given information in the coordinate plane to better visualize it. The truck starting coordinates are (−3, −8).

To find the vector that gives the translation (−3, −8)→(1, −5), subtract the x and y coordinates of the starting point from the x and y coordinates of the end point. The vector is: ⟨1 − (−3), −5 − (−8)⟩ = ⟨4,3⟩.

Therefore, the truck’s final position is (1, −5) and ⟨4, 3⟩ is the single translation vector that moves the truck from its starting position to its final position.

Answer:

P' (−11, 13), Q' (−17, −19), R' (23, 27)

Step-by-step explanation:

When we reflect a point across the x-axis, we negate the y-coordinates to obtain the image points.

The mapping for the reflection across the x-axis is

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

The vertices of the given figure are;

P(−11,−13), Q(−17,19), and R(23,−27)

We apply the rule to obtain:

[tex]P(-11,-13)\to P'(-11,13)[/tex]

[tex]Q(-17,19)\to Q'(-17,-19)[/tex]

[tex]R(23,-27)\to R'(23,27)[/tex]

The correct option is P' (−11, 13), Q' (−17, −19), R' (23, 27)

a = acceleration = dv/dt ~ delta v/ delta t.

a = ( 12 m/s - 6 m/s ) / ( 1 s ) = 6 m/s^2

Done.

Answer:

143

Step-by-step explanation:

Let x = original price

20% of the original price is .2x

We get 20 % off so we subtract it from the original price

x- .2 x

That is equal to 114.40

x-.2x = 114.40

Simplify

.8x = 114.40

Divide each side by .8

.8x/.8 = 114.40/.8

x = 143

The original price is 143

Answer:

143

Step-by-step explanation:

i got it right

Answer:

  29°

Step-by-step explanation:

  ∠1 ≅ ∠8

  3x+25 = 4x -17

  42 = x . . . . . . . . . . add 17-3x

Now, we can find the measure of ∠1:

  m∠1 = 3(42) +25 = 151

Angle 2 is the supplement to this, so has measure ...

  m∠2 = 180° -151° = 29°

Answer:  see graph

Step-by-step explanation:

I am assuming the question should read: y = |x + 1| - 4

You can graph this using transformations or by creating a table.

Transformations:

The parent function is y = |x|

The transformation is moving the graph 1 unit to the left and 4 units down - the vertex is moved from the origin to (-1, -4)

Table:

Choose x-values and solve for y

[tex]\begin{array}{c|c||c}\underline{\quad x\quad }&\underline{\quad y=|x+1|-4\quad }&\underline{Coordinate}\\-1&y=|-1+1|-4&(-1,-4)\\0&y=|0+1|-4&(0,-3)\\1&y=|1+1|-4&(1,-2)\end{array}[/tex]

Answer:

  (7, 9)

Step-by-step explanation:

The lines cross at point (7, 9). This is the solution.

__

If we assume the variables being graphed are x and y, then the solution is ...

Answer:

I think it's -13 and 3.i hope this answer helps

Answer:

The total area covered by students is 40 yd x 40 yd = 1600 yd^2

24 students covered 8 ft x 8ft  or (8 ft x 1 yd/3 ft)^2 = [(8/3) yard]^2 = (64/9) yd^2

Therefore, you need the amount of students per yard or 24 students/(64/9) yd^2

and multiply (students/yd^2)  x  (area covered by students) = number of total students present

Therefore:   number of students present = 24 students/(64/9) yd^2 x 1600 yd^2 = 5400 students

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

Step-by-step explanation:

The total number of orders for large is 27

the probability of ordering something hot is 22/27=0.8148

to convert to percentage, multiply by 100: 0.8148*100=81.48%. rounded = 81%

There are 27 people total who are buying large drinks. 22 of those large drinks are hot drinks.

To figure out what percentage 22 is of 27, divide 22 by 27.

22/27= .814... or 81% or 80%.

81% of large drinks bought are hot.

Hope this helps!

Answer:

D. y = one divided by eightx2

Step-by-step explanation:

The standard form of the equation of the parabola with a focus at (0, 2) and a directrix at y = -2 is y = one divided by eightx2.