MATHEMATICS HIGH SCHOOL

Help plsssssss:)))))))

Answers

Answer 1

Answer:

Answer:

x = -14

Steps:

Rewrite the equation as -8 = 6+x

Then move all terms not containing x to the right side of the equation.

x = -8-6

Afterwords subtrack.

x = -14.

hope this helps :)

Answer 2

Answer: answer is x= -14. hope this helped!

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The data set represents the number of rings each person in a room is wearing.0, 2, 4, 0, 2, 3, 2, 8, 6 What is the interquartile range of the data? 2 3 4 6
If j, k, and n are consecutive integers such that 0 < j < k < n and the units (ones) digits of the product jn is 9, what is the units digits of k?

How are transformations affected by specific values of a constant

Answers

Adding a constant term to the value of a function could either result to an upward or downward shifts. On the other hand, it may also shift to left or to the right. Functions play a role on transformation as it will display how the graph is moved around.

Given the sequence 5; 12 ; 21; 32; .... a determine the formular for the nth term of thw sequance . 2 determine between which two consecutive terms in the sequance the difference will equal 245 sketch the graph to represent the second difference

Answers

The nthterm for the sequence is 4n + n².

The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.

What is a sequence?

A sequence is a group of numbers where there is a relation between each consecutive value.

We have,

5, 12, 21, 32,

We see that,

The difference between the consecutive numbers is 7, 9, 11, 13, 15,

We can make a formula for the nth term.

4n + n²

Where n = 1, 2, 3, 4, ,,,,

Now,

Let the two consecutiveterms be n and (n +1).

4(n + 1) + (n + 1)² - 4n - n² = 245

4n + 4 + n² + 2n + 1 - 4n - n² = 245

4 + 2n + 1 = 245

2n + 5 = 245

2n = 240

n = 120

And,

n + 1 = 121

So,

The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.

Thus,

The nthterm for the sequence is 4n + n².

The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.

Learn more about sequence here:

brainly.com/question/10396151

#SPJ6

First difference
12-5 = 7
21-12 = 9
32-21 = 11

Second difference
9-11 = 2
11-9 = 2

second difference is constant so it could defined by quadratic formula,
u(x) = ax^2 + bx + c
because 2a = Second difference = 2
so a = 1
then u(x) = x^2 + bx + c

build equations from known values to find b and c
for x=1, u(1) = 5 = 1^2 + b(1) + c
b + c = 4 ...(1)

x=2, u(2) = 12 = 2^2 + b(2) + c
2b + c = 8 ... (2)

solve b = 4, c =0
so u(x) = x^2 + 4x ... formula for n term (i use x not n here)

difference between consecutive term is 245, we have
245 = u(x+1) - u(x)
245 = (x+1)^2 + 4(x+1) - (x^2 + 4x)
245 = x^2 + 2x + 1 + 4x + 4 - x^2 - 4x
245 = 2x + 5
x = 120
it's between term 120 and 121

graph is y=2

How do I solve this?

Answers

Work is attached..

:D

Numbers between 61 and 107 that is a multiple of 4,6, and 8

Answers

72 and 96. 72 is the answer once you multiply 18 by 4, 12 by 6, and 9 by 8. As for 96, you need to multiply 24 by 4, 16 by 6 and 12 by 8. If you divide 72 and 96 by 4, 6, and 8, you won't get any remainder for the answer - effectively making it a multiple of the three numbers.

Question 5Two similar triangles are shown in the diagram below, where
AABC - ADEF.
Based on the dimensions in the diagram, what is the
perimeter of AABC?
A-9 in.
B-10 in.
C-9.5 in.
D-10.5 in.

Answers

Answer:

Perimeter of ΔABC is 9.5 in.

Step-by-step explanation:

Given:

ΔABC $\sim$ ΔDEF

DE = 6 in.

EF = 5.25 in.

DF = 3 in.

AB = 4 in.

We need to find the Perimeter of ΔABC.

Solution:

First we will find the sides of ΔABC.

Now By Triangle similarity property which states that:

"When two triangles are similar the the ratio of their corresponding sides are equal."

From Above property we can say that;

$(AB)/(DE) =(BC)/(EF)=(AC)/(DF)\n\n(4)/(6)=(BC)/(5.25)=(AC)/(3)$

Now we will find BC and AC

$(4)/(6)=(BC)/(5.25)\n\nBC = (4*5.25)/(6)= 3.5 \ in$

Also;

$(4)/(6)=(AC)/(3)\n\nAC = (4*3)/(6) = 2 \ in$

Now In ΔABC

AB = 4 in

BC = 3.5 in

AC =2 in.

Now Perimeter of ΔABC can be calculated as sum of all sides.

Perimeter of ΔABC = AB +BC +AC = 4 + 3.5 + 2 = 9.5 in

Hence Perimeter of ΔABC is 9.5 in.

Below are two different functions, f(x) and g(x). What can be determined about their slopes?f(x) Alex earns 1600 dollars in 400 hours.
x
g(x)
1
−8
5
12
9
32

Answers

Answer:

As per the statement:

Below are two different functions, f(x) and g(x).

For f(x):

Alex earns 1600 dollars in 400 hours.

$\text{unit rate per hour} = (1600)/(400) = 4$ dollars.

Slope of f(x) = 4

Now, find the slope of g(x):

Formula for slope is given by:

$\text{Slope} = (y_2-y_1)/(x_2-x_1)$

From the given tables:

Consider two values (x, g(x)) i.e,

(1, -8) and (5, 12)

Then;

$\text{Slope} = (12-(-8))/(5-1)$

⇒ $\text{Slope} = (20)/(4) =5$

⇒Slope of g(x) = 5

$\text{Slope of g(x)} > \text{Slope of f(x)}$

Therefore, the function g(x) has faster slope.

f(x) = 1600/400 reduces to 4....the slope of f(x) is 4

g(x) :
(1,-8)(5,12)
slope = (12 - (-8) / (5 - 1) = (12 + 8)/4 = 20/4 = 5...slope of g(x) is 5

so g(x) has a greater slope then f(x)

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