In a class of 38 students, 15 play hockey and twice as many play basketball. Each student in the class plays either hockey or basketball. How many students play both hockey and basketball?
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Answer:

8, 4, 0, -4, - 8, .........

Step-by-step explanation:

The n the term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and a₁₅ = - 48, then

8 + 14d = - 48 ( subtract 8 from both sides )

14d = - 56 ( divide both sides by 14 )

d = - 4

To obtain the progression subtract 4 from each term, that is

8, 4, 0, - 4, - 8, ......

Answer:

8, 4, 0, -4, -8, -12, -16, -20,...

Step-by-step explanation:

Arithmetic Progressions

The general term of an arithmetic progression (A.P.) is:

[tex]a_n=a_1+(n-1).r[/tex]

Where:

a1  = First term

an = Term number n

n   = Number of the term

r   = Common difference

We are given: a1=8, and a15=-48, n=15. Calculate r:

[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]

[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]

[tex]\displaystyle r=\frac{-56}{14}[/tex]

r = -4

We can get the terms of the progression by subtracting 4 to the previous term.

Thus, the first terms of the progression are:

8, 4, 0, -4, -8, -12, -16, -20,...

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

[tex](y-k)=n(x-h)^2[/tex]

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

[tex]\dfrac{1}{n}(y-k)=(x-h)^2[/tex]

[tex]p(y-k)=(x-h)^2[/tex]

where [tex]p=\dfrac{1}{n}[/tex], the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A, [tex]|-0.5|=0.5[/tex]

For option B, [tex]|5|=5[/tex]

For option C, [tex]|8|=8[/tex]

For option D, [tex]|-10|=10[/tex]

Since, the equation is option A has smallest value of |p|, therefore, the equation [tex](x+2)^2=-0.5(y+3)[/tex] represents the steepest parabola.

Hence, the correct option is A.

Answer:

D) [tex]1\frac{21}{40}m^2[/tex]

Step-by-step explanation:

We can first change the area of his garden into an improper fraction:

[tex]7\frac{5}{8} m^2 = \frac{61}{8}m^2[/tex]

Since Eric wants to split his garden into five equal sections, we divide the area of his garden by [tex]5[/tex]:

[tex]\frac{61}{8}\div 5 = \frac{61}{40}[/tex]

[tex]=1\frac{21}{40}m^2[/tex]

∴ The area of each new section is [tex]1\frac{21}{40}m^2[/tex]

Hope this helps :)

Answer:

y = 6x

Step-by-step explanation:

y = mx + b

Slope (m) = 6/1 up 6, right 1

Y-intercept (b) = 0

Answer:

{ (0,0),(1,4),(6,2)

Range = {0,2,4}

Answer:

here is the answer -(12)/(-3)

Step-by-step explanation:

PLEASE MARK BRAINILIEST!

ok so F (0) should be equaled to = 0

Answer:

f(0) = 5

Step-by-step explanation:

Note that [tex]a^{0}[/tex] = 4

To calculate f(0), substitute x = 0 into f(x), that is

f(0) = [tex]4^{0}[/tex] + 4 = 1 + 4 = 5

Answer:

300.33333

Step-by-step explanation:

Answer:

x equals 51

Step-by-step explanation:

1. Do the inverse operation of x/-3 which is multipulcation.

2. Multiply -17 by -3 to get the answer of 51.

Finish the equation by saying that x = 51, or 51 = x.

Answer:

X=51

Step-by-step explanation:

You would have to multiply 17 by 3.

10x3=30

7x3=21

then you add 30 and 21 which equals 51

Answer: 1.25 p , where  p= Weight of Jordan's dog

Step-by-step explanation:

Let p = Weight of Jordan's dog .

Given: Emmett apostrophe's dog with 25% more than Jordan star.

Then, weight (in pounds)  of Emmett apostrophe s dog  = p +25%  of p

= p +0.25 p  [We divide a number by 100 to remove %]

= p(1+0.25)

= p(1.25)

=1.25 p

Hence, the expression represents the weight in pounds of Emmett apostrophe's dog=1.25 p

9514 1404 393

Answer:

 142

Step-by-step explanation:

The first term of this arithmetic sequence is -10. The common difference is -8-(-10) = 2. The n-th term is ...

  an = a1 +d(n -1)

  an = -10 +2(n -1) = 2n -12

Then the 77th term is ...

  a77 = 2(77) -12 = 154 -12

  a77 = 142

The 77th term is 142.

Step-by-step explanation:

constant=7

coefficient=2

Answer:

Whats the code?

Step-by-step explanation:

Ill play with u

Answer:

Laxed (SIREN BEAT)" by Jawsh 685

Step-by-step explanation:

Answer:

i wanna say its 136 but im not completely sure

Answer:

No hablo espanol.

puedes escribir en ingles

Step-by-step explanation:

Answer:

PLEASE I NEED HELP ITS URGENT TOO!!!

Answer:

x = 1

Step-by-step explanation:

3x +2y = 15

y = 6x

Substitute y for 6x in 3x +2y = 15!

3x + 2(6x) = 15

3x + 12x = 15

Combine like terms

15x = 15

Divide both sides by 15

15x = 15

x = 1

Brainliest is much appreciated!

Answer: C

Step-by-step explanation:

The function is always increasing

The function is increasing when x>0 for the graph of [tex]y= \sqrt[3]{x}[/tex] as parent function.

" The graph is defined as the representation of relation between two variables on the coordinate plane."

According to the question,

Given graph of the  cube root parent function

For function [tex]y= \sqrt[3]{x}[/tex]

x = 0 ⇒ y = 0

x = 1 ⇒ y = 1

x = 8  ⇒ y = 2

x = 27 ⇒ y = 3

Therefore, for x>0, function [tex]y= \sqrt[3]{x}[/tex] is increasing.

Hence, Option(D) is the correct answer.

Learn more about graph here

https://brainly.com/question/20381610

#SPJ2

Answer:

Step-by-step explanation:

Given

To find

Substitute n with 1/3 and calculate

Answer: The answer is 1 sweetie

Step-by-step explanation: Given

f(n) = 3n

To find

f(1/3) =?

Substitute n with 1/3 and calculate

f(1/3) = 3*1/3 = 1

Answer:

2³

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , thus

[tex]2^{-2}[/tex]  × [tex]2^{5}[/tex] = [tex]2^{(-2+5)}[/tex] = 2³ [ = 8 ]

Answer:

senior ticket = $10     child's ticket = $8

Step-by-step explanation:

s = senior ticket

c = child's ticket

We need to write 2 equations, and we have 2 unknowns, s and c.

3s + 5c = $70

12s + 12c = $216

First solve for s using the first equation.

3s + 5c = 70    Subtract 5c from each side

3s + 5c - 5c = 70 - 5c

3s =  70 - 5c     Divide each side by 3

3s/3 =  (70 - 5c)/3

s = [tex]\frac{70 - 5c}{3}[/tex]

Now plug in s into the second equation.

12s + 12c = 216

12([tex]\frac{70 - 5c}{3}[/tex]) + 12c = 216

[tex]\frac{12}{3}[/tex] (70 - 5c) + 12c = 216

4 (70 - 5c) + 12c = 216

280 - 20c + 12c = 216

280 - 8c = 216  Add 8c to each side

280 - 8c + 8c = 216 + 8c

280 = 216 + 8c   Subtract 216 from each side.

280 - 216 = 216 - 216 + 8c

280 - 216 = 8c

64 = 8c   Divide each side by 8

64/8 = 8c/8

64/8 = c

8 = c

Now plug c into the first equation and solve for s.

3s + 5c = 70

3s + 5(8) = 70

3s + 40 = 70    Subtract 40 from each side.

3s + 40 - 40 = 70 - 40

3s = 70 - 40

3s = 30  Divide each side by 3

3s/3 = 30/3

s = 30/3

s = 10

So a senior ticket costs $10 and a child's ticket costs $8.

Answer:

Step-by-step explanation:

Answer:38

Step-by-step explanation:

Answer:

it is -6

Step-by-step explanation:

Answer:

5n-6= -2

Step-by-step explanation:

The difference of...... this means its asking us to subtract one number from another number

5 times a number...... that means 5n

6..... since it said DIFFERENCE, it would be -6

is -2........ this means the answer to the equation is -2

So the equation is 5n-6= -2

Hope this helps!

Answer:

4 - slope

2 - y - intercept

Step-by-step explanation:

The equation is in slope-intercept form.

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The '4' is the slope of the equation.

[tex]y=\boxed{m}x+b\\\\y=\boxed{4}x+2[/tex]

The '2' is the y-intercept.

[tex]y=mx+\boxed{b}\\\\y=4x+\boxed{2}[/tex]

Hope this helps.

Answer:

20n(5m+8)(m+4)

Step-by-step explanation:

240n×

​24

​

​2m+8m+16

​​ (m+4)

240n×

​24

​

​2(m+4m+8)

​​ (m+4)

240n×

​24

​

​2(5m+8)

​​ (m+4)

20n(5m+8)(m+4)