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3 years ago

Please help with this

Mathematics

1 answer:

omeli [17]3 years ago

4 0

Answer:

$y = \frac{1}{8} x - 3$

Step-by-step explanation:

Formula for straight lines:

$y = mx + b$

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

$- 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3$

Substitute b into original formula

$y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3$

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The real numbers $x$ and $y$ are such that \begin{align*} x + y &= 4, \\ x^2 + y^2 &= 22, \\ x^4 &= y^4 - 176 \sqrt{

tamaranim1 [39]

You get everything you need from factoring the last expression:

$x^4-y^4=-176\sqrt7$

The left side is a difference of squares, and we get another difference of squares upon factoring. We end up with

$x^4-y^4=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)$

Plug in everything you know and solve for $x-y$ :

$-176\sqrt7=(x-y)\cdot4\cdot22\implies x-y=\boxed{-2\sqrt7}$

4 0

3 years ago

Read 2 more answers

A group of 485 people take a canoe trip. They fill up all avalible canoes that each hold 3 people with 273 people. The rest of t

Jobisdone [24]

Answer:
3c=273
c=91
2c= 212
C= 106
c= 91+ 106= 197
so they will need 197 canoes total

Why:
So first you have to determine a set variable to represent the number of canoes, I chose C. Then you make an equation to represent the number of canoes 273 people will use if they group into 3's, from this I got 3c=273. Solve for C and get 91.
The remainder of the group which is 485-273= 212 will use canoes in groups of 2's. To represent this, 2c=212. Solve for C and get 106. Combine 106 and 91 to get the total number of canoes.

4 0

3 years ago

Read 2 more answers

Need help!!!! Pleaseeeee

Amanda [17]

Answer:

for #2 I'm pretty sure he makes $10 per hour

6 0

2 years ago

Simplify 30 – 5(15 - 10). A. -55B. 125C.20D.5

Harrizon [31]

Simplify : 30 – 5(15 - 10).

Apply BODMAS :

B- Brackets

O-Of

D-Division

M-Multiplication

A-Adition

S-Subtraction

$\begin{gathered} 30-5(15-10) \\ 30-5(5) \\ 30-25 \\ 5 \end{gathered}$

Answer : D) 5

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1 year ago

C) Parbati buys a mobile for Rs 6,300 and sells it to Laxmi at 15% profit. How much

Leni [432]

Answer:

Rs. 7245

Step-by-step explanation:

Given parameters:

Cost price = Rs. 6300

Percentage profit = 15%

Unknown:

Selling price = ?

Solution:

If profit is made on a trade, the selling price is higher than the cost price.

Profit = Selling price - Cost price

To find the selling price simply;

Selling price =( 1 + $\frac{15}{100}$ ) x cost price

Selling price = 1.15 x 6300 = Rs. 7245

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3 years ago