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labwork [276]
3 years ago
12

Eight times a number plus five another number is -13. The sum of the two numbers is 1. What are the numbers?

Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0
Eight *(a number) plus 5*(another number) is -13.

translates to:

8(x) + 5(y) = -13

The sum of (the number) and (the other number) is 1.

translates to:

(x) + (y) = 1


We have a system of two equations involving two unknowns: x and y.

\rm 8x+5y=-13\\
~~x+~~y=~~~~1

We can easily solve the system using Substitution or Elimination. Let's use Elimination this time.

We'll multiply the second equation by -8 so that the x's match up.

\rm ~~~8x+5y=-13\\ -8x-8y=-8

When we add the equations together, the x's will fall out of the equation, summing to zero. The 5y and -8y will sum to -3y and the right hand side will sum to -21.

\rm -3y=-21

Divide by -3,

\rm y=7

Plug back into one of your original equations to find the value of x,

\rm x+y=1\\
x+7=1

Subtract 7,

\rm x=-6
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riadik2000 [5.3K]

Answer:

f(n) = 2n - 3 describes the arithmetic sequence,

-1, 1, 3, 5, 7, 9, 11, 13,.......

Step-by-step explanation:

Function:

A function is like a machine that gives an output for a given input.

A function has an independent variable which is called the input of the function.

The output for a given input is called the dependent variable.

Here. 'n' is the independent variable

f(n) is the function dependent variable i.e function of n as an output.

For Arithmetic sequence

a_{n}= a_{1} + (n-1)d

Where

a_{n} = nth number of the sequence.

a₁ = First term

d = common difference = a₂ - a₁ = a₃ - a₂ = so on

For a function which describes Arithmetic sequence,

a₁ = -1

d = 1 - -1 =2

∴ f(n) = a₁ + (n -1 )d

substituting the values we get

∴ f(n) = -1 +(n-1)2

using distributive property

∴ f(n) = - 1 +  2n - 2

∴ f(n) = 2n - 3  ..........is the required function

7 0
3 years ago
PLEASE HELP! WILL GIVE BRAINLIEST
kiruha [24]

Answer:

73

Step-by-step explanation:

Angle JID is supplementary to Angle JIH so:

180- Angle JIH= Angle JID

180-107=73

Angle JID is opposite to Angle AJF(angle x)

Opposite angles are always equal

Angle JID=Angle AJF(x)

73=Angle AJF(x)

8 0
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Answer:

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Step-by-step explanation:

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In this month spider ate 10 bugs.

Step-by-step explanation:

Given,

The spider ate 25% more bugs than last month.

It ate 8 bugs in last month.

To find the number of bugs it ate this month.

<u>Solution</u>

It ate more bugs = 8×25%

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