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2 years ago

Please help me figure this out

Mathematics

2 answers:

katrin2010 [14]2 years ago

3 0

Step-by-step explanation:

standard form is given by Ax × By = C

hence the answer would be

5x + 8y = 24

comment if you still have any doubts :)

gladu [14]2 years ago

3 0

Answer:

5x + 8y = 24

Step-by-step explanation:

Given :

$y=-\frac{5x}{8} +3$

……………………

$y=-\frac{5x}{8} +3$

$\Longleftrightarrow 8\times y=8\times (-\frac{5x}{8} +3)$

$\Longleftrightarrow 8y=-5x+24$

$\Longleftrightarrow 5x+8y=24$

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What is the inverse of the function? f(x)=3x−1

Hatshy [7]

Answer:

The inverse is 1/3 (x+1)

Step-by-step explanation:

y = 3x-1

Exchange x and y

x = 3y-1

Solve for y

Add 1 to each side

x+1 = 3y-1+1

x+1 = 3y

Divide each side by 3

(x+1)/3 = 3y/3

1/3(x+1) =y

The inverse is 1/3 (x+1)

5 0

3 years ago

Matt and Trey are remodeling their gardens. Matt purchased 8 ferns and 1 rosebush for $35. Trey purchased 4 ferns and 3 rosebush

AlladinOne [14]

Answer:

Cost of a fern = $4

cost of a rose bush = $3

Step-by-step explanation:

Let cost of a fern in dollars be = $x$

Let cost of a rosebush in dollars be = $y$

Matt purchased 8 ferns and 1 rosebush for $35

Cost of 8 ferns in dollars will be = $8x$

cost of a rosebush in dollars is = $y$

Total cost of 8 ferns and 1 rosebush in dollars = $8x+y$

So, we have a Matt's equation as:

$8x+y=35$

Trey purchased 4 ferns and 3 rosebushes for $25.

Cost of 4 ferns in dollars = $4x$

Cost of 3 rosebushes in dollars = $3y$

Total cost of 4 ferns and 3 rosebush in dollars = $4x+3y$

So, we have a Trey's equation as:

$4x+3y=25$

The system of equations is :

A) $8x+y=35$

B) $4x+3y=25$

Solving the system by substitution method.

Rearranging equation A, to solve for $y$ in terms of $x$

Subtracting both sides by $8x$

$8x+y-8x=35-8x$

$y=35-8x$

Substituting value of $y$ we got from A into equation B.

$4x+3(35-8x)=25$

Using distribution.

$4x+105-24x=25$

Simplifying.

$-20x+105=25$

Subtracting both sides by 105.

$-20x+105-105=25-105$

$-20x=-80$

Dividing both sides by -20.

$\frac{-20x}{-20}=\frac{-80}{-20}$

∴ $x=4$

We can plugin $x=4$ in the rearranged equation A to get value of $y$

$y=35-8(4)$

$y=35-32$

∴ $y=3$

Cost of a fern = $4

Cost of a rosebush = $3

7 0

4 years ago

Consider the problem $minimize$ $f(x)=x^4-1$. solve this problem using newton's method. start from $x_0=4$ and perform three ite

stellarik [79]

F(x)=x⁴-1
f'(x)=4x³
Newton’s Method: x[n+1]=x[n]-f(x[n])/f'(x[n]); x[n+1]=x[n]-(x[n]⁴-1)/4x[n]³
x₁=3.00390625
x₂=2.26215...
x₃=1.7182...

X'=X-(X⁴-1)/4X³=X-X/4+1/4X³ is a symbolic way of writing the recursive formula, where X' represents the next iteration.
When X'≈X, -X/4+1/4X³≈0; so X/4≈1/4X³; X≈1/X³, so X⁴≈1 and X⁴-1≈0. But this is f(x)≈0. Hence Newton’s Method converges to a solution.
The rate of change is x[n+1]-x[n]=-(x[n]⁴-1)/4x[n]³=x[n]/4-1/4x[n]³ or symbolically -X/4+1/4X³.
Note that the method converges to one solution. A different x₀ will possibly converge to the solution x=-1.

5 0

3 years ago

Is it possible to construct a triangle with the following measures 6cm,6cm,12cm

mr Goodwill [35]

No, It's not possible to construct a triangle with the following measures 6cm, 6cm, and 12cm.

because, the sum of any two sides of a triangle should always be greater than the third side,

but here,

6cm + 6cm isn't greater than 12cm,

hence the triangle with these measures can't be formed.

4 0

3 years ago

Read 2 more answers