Evaluate b - 2a - c for a = -7, b = 3 and c = -9

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

- 11 - (- 17) = - 5 - (- 11) = 1 - (- 5) = 6

A recursive rule allows a term to be found by adding d to the previous term, thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6 with a₁ = - 17

Answer:

V = 3.5 m3

Step-by-step explanation:

length l = 1 m

width w = 2 m

height h = 1.75 m

volume V = 3.5 m3

Answer:

9. -2

10. 0

Step-by-step explanation:

It is not undefined because the slope of horizontal lines are 0

Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

Step-by-step explanation:

We assume that quantity of flour is proportional to butter.

Given : The recipe calls of [tex]1\dfrac14[/tex] cups of  flour  and [tex]\dfrac12[/tex] stick of butter.

Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex]      [tex]y_1=\dfrac{1}{2}[/tex]

For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

[tex]\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12[/tex]

Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

15/2 cups of flour!

Answer:

He spent $24 dollars

Step-by-step explanation:

Each of the piecrusts had 2 cup of flour he has 5 pies so all pies altogether equally 10 cups so he buys 2 bags for $24 dollars

Step-by-step explanation:

Number of gluten-free flour used for 5 pies= 2×5= 10 cups

cost of 4 cups of gluten-free flour = $12

cost of 1 cup = 12/4 = $3

Then,

cost of 10 cups of gluten-free flour = 3×10

= $30

Answer:

We have been given that the upstream speed is  and the down stream speed is .

Let the fisherman traveled a distance of x miles.

The total time of the trip is 6 hours.

Relations between speed (s), time (t) and distance (d) is  

Hence,  

Time upstream +  time downstream = 6

lcm = 10

=>  

Cross multiplying,  

x = 20 miles .. Answer.

Step-by-step explanation:

The correct answer would be; 20 miles.

[tex]MissJiao[/tex]

Answer:

translation

Step-by-step explanation:

Sliding: moving a shape without rotating or flipping it.

Answer:

it's x=50 hope this helps

Answer:

[tex]\frac{50}{5}[/tex] is the answer

Step-by-step explanation:

you would times 10 by 5 and you have your answer

Answer: 69%

Step-by-step explanation: 207/300 times 100 too divided by the bottom times 100

Answer:$220,290

Step-by-step explanation:

2,255 multiplied by 98 is 220,290

The total cost of Trisha’s parents new house is $220990.

Given that, Trisha’s parents bought a new house that has 2,255 square feet.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The price per square foot was $98.

So, the total cost of house = Number of square feet × The price per square foot

= 2,255 × 98

= $220990

Therefore, the total cost of Trisha’s parents new house is $220990.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

c^2 = 24^2 + 26^2

c = √576 + 676

c = √1252

c = 35.4 feet

The foot of the ladder is 35.4 foot away from the top of the ladder.

Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.

Let the distance we are looking for be D

26^2 = 24^2 + D^2

D^2 = 26^2 - 24^2

D^2 = 100

D^2 = 10^2

D = 10 feet

Step-by-step explanation:

The general form for a quadratic or cubic equation is:

y = a (x − h)ⁿ + k

If |a| is between 0 and 1, it's a vertical shrink.  If |a| is greater than 1, it's a vertical stretch.  If a is negative, there's a reflection over the x-axis.

h is the horizontal translation.  If h is positive, there's a translation to the right.  If h is negative, there's a translation to the left.  (Notice the expression in the parentheses is x − h, not x + h, so if it helps, rewrite the equation.)

k is the vertical translation.  If k is positive, there's a translation up.  If k is negative, there's a translation down.

f(x) = (x + 1)³ − 7

f(x) = 1 (x − -1)³ + -7

a = 1, h = -1, k = -7

This is y = x³ translated 1 unit to the left and 7 units down.

g(x) = -½ (x − 2)³

g(x) = -½ (x − 2)³ + 0

a = -½, h = 2, k = 0

This is y = x³ reflected over the x-axis, vertical shrink of ½, and translated 2 units to the right.

y = -(x − 4)³ − 2

y = -1 (x − 4)³ + -2

a = -1, h = 4, k = -2

This is y³ reflected over the x-axis, translated 4 units right and 2 units down.

Answer:

5

Step-by-step explanation:

Answer:

$46

Step-by-step explanation:

Answer:

x =30

Step-by-step explanation:

4x + 40 = 6x-20 (set them equals)

40= 6x-  20-4x

40+20=2x

2x=60

divide by 2

x=30

Answer:

the answer is x=7

Step-by-step explanation:

Answer:

Step-by-step explanation:

5.790/2.3=2.5173913

Answer:

2.51739130435

Step-by-step explanation:

Answer:

75 degrees

Step-by-step explanation:

Straight angles are 180, so since we already know one side (105 degrees). This means that 105+x=180

If you solve it you get 75

Answer:

y = 2(x-5) + 7

Step-by-step explanation:

Answer:

(x+2)(x+3)(x-3)

Step-by-step explanation:

Group and factor out the greatest common factor (GCF), then combine.

Hope this helps!!

Answer

Maximum point of (-2, 4)

Step-by-step explanation:

the maximum point in this case is the vertex because its the highest point of the graph

Answer:

the correct answer would be 13.75

Answer:

14:6, 21:9, 28:12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.

A: 196.20

B: 208.20

C: 1286.20

D: 1298.20

Answer:

Option 4

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

h(4)=-2(4)^2+4

-32+4=-28

Answer:

its B

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

it's quite simple actually. It's so simple I don't know how to explain.

Answer:

2 my nigher

Step-by-step explanation:

Answer:

3.4 or 3 and 2/5

Step-by-step explanation: