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professor190 [17]
3 years ago
13

What is the slope of the line?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0

Answer:

-3

Step-by-step explanation:

we take two points to find slope m

lets take ( 1, 4) and ( 2, 1)

then m=(1-4)/(2-1)

m=(-3)/(1)

m= -3

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Jim will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $ 59 and costs an addi
AveGali [126]

Answer:This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:

Plan I: Y=38+0.11X

Plan II: Y=49+0.07X

When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25

Step-by-step explanation:

6 0
2 years ago
Which equation has no solution?
Dmitry [639]

Answer:

A for sure

Step-by-step explanation:

4 0
2 years ago
a cd usally sells for 17.00 if the CD is 30% off and the sales tax is 8% what is the total price of the CD including tax
Ksenya-84 [330]

Answer:

$12.85

Step-by-step explanation:

First we need to find the sale price of the CD

Sale price = old price - old price * discount rate

                 = 17 - 17* .3

                 = 17 - 5.1

                 = 11.9

The sale price of the CD is 11.90

Now we need to find the tax

tax = sale price of cd * tax rate

      = 11.9 * .08

      = .95


The final cost of the CD is  sale price of CD plus the tax

Total cost = sale price of CD + tax

                 = 11.90 + .95

                    =12.85

3 0
3 years ago
Find dy/dx if y =x^3+5x+2/x²-1
stiks02 [169]

<u>Differentiate using the Quotient Rule</u> –

\qquad\pink{\twoheadrightarrow \sf \dfrac{d}{dx} \bigg[\dfrac{f(x)}{g(x)} \bigg]= \dfrac{ g(x)\:\dfrac{d}{dx}\bigg[f(x)\bigg] -f(x)\dfrac{d}{dx}\:\bigg[g(x)\bigg]}{g(x)^2}}\\

According to the given question, we have –

  • f(x) = x^3+5x+2
  • g(x) = x^2-1

Let's solve it!

\qquad\green{\twoheadrightarrow \bf \dfrac{d}{dx}\bigg[ \dfrac{x^3+5x+2 }{x^2-1}\bigg]} \\

\qquad\twoheadrightarrow \sf \dfrac{(x^2-1) \dfrac{d}{dx}(x^3+5x+2) - ( x^3+5x+2)  \dfrac{d}{dx}(x^2-1)}{(x^2-1)^2 }\\

\qquad\twoheadrightarrow \sf \dfrac{(x^2-1)(3x^2+5)  -  ( x^3+5x+2) 2x}{(x^2-1)^2 }\\

\qquad\pink{\sf \because \dfrac{d}{dx} x^n = nx^{n-1} }\\

\qquad\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-(2x^4+10x^2+4x)}{(x^2-1)^2 }\\

\qquad\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-2x^4-10x^2-4x}{(x^2-1)^2 }\\

\qquad\green{\twoheadrightarrow \bf \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}\\

\qquad\pink{\therefore  \bf{\green{\underline{\underline{\dfrac{d}{dx} \dfrac{x^3+5x+2 }{x^2-1}}  =  \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}}}}\\\\

7 0
2 years ago
Which is the graph of the line × -4y=20
Thepotemich [5.8K]
I can't really graph it here but:
Slope: <span><span>1/4</span></span>Y-Intercept: <span>−<span>5</span></span>
8 0
3 years ago
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