Solve the function.
h(x)= 6x - 10
————-
X + 3


Help please

Answer:

[tex]a_{n}[/tex] = 60 - 15n

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 45 and d = a₂ - a₁ = 30 - 45 = - 15 , then

[tex]a_{n}[/tex] = 45 - 15(n - 1) = 45 - 15n + 15 = 60 - 15n

An equation for the nth term of the arithmetic sequence is aₙ=60-15n.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

The given arithmetic sequence is 45, 30, 15, 0,.....

Here, a=45 and d=30-45 = -15

Now, aₙ=45+(n-1)(-15)

aₙ=45-15n+15

aₙ=60-15n

Therefore, an equation for the nth term of the arithmetic sequence is aₙ=60-15n.

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Answer:

its B I think not for sure

Answer:

The answer is True

Answer:

c

Step-by-step explanation:

we add them which gets 440. afterwards we don't round since it's a profitable and stable amount

Answer:      imgurl=http%3A%2F%2Fwww.rasmus.is%2FIS%2FT%2FF%2FSu52k03_m01.gif&imgrefurl=http%3A%2F%2Fwww.rasmus.is%2Fuk%2Ft%2FF%2FSu52k03.htm&tbnid=0mYNOM8hE-8CkM&vet=12ahUKEwj4y9mb3NrvAhXNtFMKHZ9kCDEQMygIegUIARCjAQ..i&docid=Iv4G7-Ojzx0JrM&w=290&h=247&q=Which%20function%20does%20the%20graph%20represent%3F3%2C%2015)Of(x)%20%3D%20(x%20%2B%203)(x%20%2B%207)O%20f(x)%20%3D%20(x%20-%203)(x%20-%207)O%20f(x)%20%3D%203(x%20%E2%80%93%203)(x%20%E2%80%93%207)Of(x)%20%3D%2011(x%20%2B%203)(x%20%2B%207)&safe=active&ved=2ahUKEwj4y9mb3NrvAhXNtFMKHZ9kCDEQMygIegUIARCjAQ

Answer:

Step-by-step explanation:

x - 2.8 gal < 24.5 gal

x < 247.8 gal

Answer:

x < 27.3 gallons

Step-by-step explanation:

gallons in the tank before = x

x < 2.8+24.5

x < 27.3 gallons

The product is greater than  both factors but less than 1.

Answer:

You have a 2/3 chance

Answer:

2/3

Step-by-step explanation:

when you spin twice you either get a KK, KV, KH, VK, VV, VH, HK, HV, HH.

so the probability of getting a K and a K is 1/3 plus 1/3 to get your answer as 2/3.

Answer:

x = −2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(4x+6)=x−4

(3)(4x)+(3)(6)=x+−4(Distribute)

12x+18=x+−4

12x+18=x−4

Step 2: Subtract x from both sides.

12x+18−x=x−4−x

11x+18=−4

Step 3: Subtract 18 from both sides.

11x+18−18=−4−18

11x=−22

Step 4: Divide both sides by 11.

[tex]\frac{11x}{11}[/tex] = [tex]\frac{-22}{11}[/tex]

x = −2

Answer:

C. No Solutions

Step-by-step explanation:

Answer:

C) no solutions

Step-by-step explanation:

7a+5(a+3)=8a+4(a+2)

7a+5a+15=8a+4a+8

12a+15=12a+8

-8           -8

12a+7=12a

No solutions

Answer:

my answer is no because for a right angle triangle the sum of the squares of the other two sides is equal to the square of the longest side

3²+7²=9+49=58

(√57)²=57

57≠58 it's not a right angle triangle

assume the sides to be a,b and c

a=3 b=7 c=√57

by Pythagoras theorem

a²+b²=c²

3²+7²=√57²

but 58≠57

hope it's clear

Answer:

0.54m/s

Step-by-step explanation:

Speed = distance / time

5.4/10=0.54 m/s

Answer:

5 units

Step-by-step explanation:

Diameter = two times the radius so the answer is 5 units.

Question 1

D) relative pronoun

Question 2

A) subject pronoun

Question 3

C) reflexive pronoun

Question 4

B) object pronoun

Hope this helps :)

Step-by-step explanation:

hope it is helpful

The perimeter of the square is 70.8 meters.

To find the perimeter of a square, we need to know either the length of one side or the area of the square. In this case, we are given the area of the square as 313.29 m².

The formula for the area of a square is:

Area = side length²

We can rearrange this formula to solve for the side length:

Side length = √Area

Substituting the given area into the formula, we have:

Side length = √313.29 m²

Calculating the square root of 313.29, we find that the side length of the square is approximately 17.7 meters (rounded to one decimal place).

Since a square has four equal sides, the perimeter is simply four times the side length:

Perimeter = 4 * 17.7 m = 70.8 meters

As a result, the square's circumference is 70.8 metres.

for such more question on perimeter

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Answer: 152$

Step-by-step explanation:

255 x (1/3) = 85

85

110 of the coins are 50p

110 x .5 = 55

85 + 55 = 140

85 + 110 = 195 total coins

255 - 195 = 60

60 x .2 = 12$

140 + 12 = 152$

9514 1404 393

Answer:

Step-by-step explanation:

When Mai receives money, her account balance increases. The amount received can be represented by a positive number.

When Mai spends money, her account balance decreases. The amount spent can be represented by a negative number.

Answer:

2 yards

Step-by-step explanation:

1 yard = 3 feet

Answer:

2 yards

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The absolute value of any number will always be positive. Therefore the absolute value of a negative number is the opposite of the negative. Which is positive.

Answer:

$1452.6

Step-by-step explanation:

To obtain the cost of fencing round a triangular paddock, we obtain the perimeter. The perimeter of a triangle is given as :

Perimeter = a + b + c ; where a, b and c are the length of the three sides of the triangle.

The perimeter of the paddock in this scenario is :

(114 + 102 + 53) feets = 269 feets ; which are the lengths of the 3 sides of the triangular paddock.

Painting Cost per feet = $5.40

Cost per feet * number of feets

$5.40 * 269

= $1452.6

Step-by-step explanation:

pentagonal pyramid

cone

7

Answer:

x=74

y=37

z=25

Step-by-step explanation:

First, we can find y.

106 and 2y are supplementary angles. That means that when added together, they equal 180.

106+2y=180

2y=74

y=37

We can use this information to help us find x.

x and 2y are corresponding angles, which means that they are congruent.

2y=x

2(37)=x

74=x

Now, let's find z.

4z+6 is corresponding to the angle right above angle x. This means that (4z+6)+x=180.

Let's solve.

(4z+6)+74=180

4z+80=180

4z=100

z=25

Hope this helped!

Answer:

Step-by-step explanation:

#1

Substitute pairs of solutions and verify

(1, 7)

(2, -7)

Correct choice is D. Neither

#2

x- intercept: y = 0

y- intercept: x = 0

#3

x = -1 ⇒ find y:

Answer:

1. The answer is D , neither

Just insert 1&2 in the equation and then get -7 & -9 , which are wrong !

_____________

2. x-intercept : (-13/6 , 0)

y-intercept : (0,13)

_____________

Y=3

Just insert -1 as X in the equation & get the Y .

Step-by-step explanation:

Hope that was helpful .

Good luck .

Answer:

1/14

Step-by-step explanation: