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4 years ago

Last question for the day.. can anyone help wit #14 and either #10-13

Mathematics

2 answers:

fiasKO [112]4 years ago

8 0

Question 14 I think it is 2/5

masha68 [24]4 years ago

3 0

10. (5,8)(-3,7)
slope = (7 - 8) / (-3 - 5) = -1 / -8 = 1/8

11. (5,-2)(3,-2)...since both y values are the same, this line is a horizontal line with a 0 slope.

12. (-4,7)(8,-1)
slope = (-1 - 7) / (8 - (-4) = -8 / (8 + 4) = -8/12 = - 2/3

13. (6,-3)(6,4)....since both x values are the same, this line is a vertical line with a slope that is undefined

14. -2/5

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A class of 222 students went on a field trip. They took 9 vehicles, some cars and some me buses. find the number of cars and the

dusya [7]

Answer:

There were 3 cars and 9 buses used for the field trip.

Step-by-step explanation:

Let the number of cars be x

and Number of buses be y.

Total number of vehicles used = 9

Hence,

$x+y=9 \ \ \ \ equation \ 1$

Also

Each Car carries students = 4

Each Bus carries students = 35

Total Students = 222

Hence,

$4x+35y =222 \ \ \ \ equation \ 2$

Now multiplying equation 1 by 4 we get;

$4(x+y)= 4\times 9 \\4x+4y = 36 \ \ \ \ \ equation \ 3$

Now Subtracting equation 3 from equation 2 we get;

$4(x+y)= 4\times 9 \\[tex](4x+35y)-(4x+4y) =222-36\\4x+35y-4x-4y=186\\31y = 186\\y = \frac{186}{31} = 6$

Now y = 6

∴ x + y = 9 (Given)

x + 6 = 9

x = 9 - 6

x = 3

Hence, There were 3 cars and 9 buses used for the field trip.

3 0

3 years ago

Solve for f(-3) f(x)=5-x f(-3)= ? pls helpppp

RoseWind [281]

F(-3) = 8

Plug -3 into x and just solve it.

5 0

3 years ago

(7.9-5.1)x(0.2+0.8)=?

Aleks [24]

7.9-5.1=2.8 0.2+0.8=1 2.8 x 1=2.8

Hope I helped

4 0

4 years ago

Several terms of a sequence {an}n=1 infinity are given. A. Find the next two terms of the sequence. B. Find a recurrence relatio

s344n2d4d5 [400]

Answer:

A) $\frac{1}{1024},\frac{1}{4096}$

B) $\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) $\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

Step-by-step explanation:

1) Incomplete question. So completing the several terms: $\left \{a_{n}\right \}_{n=1}^{\infty}=\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},... \right \}$

We can realize this a Geometric sequence, with the ratio equal to:

$q=\frac{1}{4}$

A) To find the next two terms of this sequence, simply follow multiplying the 5th term by the ratio (q):

$\frac{1}{256}*\mathbf{\frac{1}{4}}=\frac{1}{1024}\\\\\frac{1}{1024}*\mathbf{\frac{1}{4}}=\frac{1}{4096}\\\\\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},\mathbf{\frac{1}{1024},\frac{1}{4096}}\right \}$

B) To find a recurrence a relation, is to write it a function based on the last value. So that, the function relates to the last value.

$\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) The explicit formula, is one valid for any value since we have the first one to find any term of the Geometric Sequence, therefore:

$\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

6 0

3 years ago

What is the meaning of an absolute value

storchak [24]

Answer:

"Absolute value" is the non-negative value of a number, disregarding whether or not it has a sign.

Step-by-step explanation:

"Absolute value" is the non-negative value of a number, disregarding whether or not it has a sign. It can be thought of as how far it is away from the number of 0, whether it's to the left or right. Absolute value of a number is written as |x|, where x = any number. Let's say x was -1. |-1| would be 1 because it's 1 away from 0. If x was just 1, then the number would stay the same.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0

2 years ago