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jeyben [28]
3 years ago
7

What is the slope of the line described by the equation below?

Mathematics
2 answers:
KatRina [158]3 years ago
8 0

Answer:

-1

Step-by-step explanation:

See Image below:)

horrorfan [7]3 years ago
3 0

Answer:

-1

Step-by-step explanation:

You might be interested in
Chelsey wants to join a fitness club. She has a coupon that will give her $12.50 off the monthly rate for the first 6 motnhs. Wi
MAVERICK [17]

Answer:

Your answer is 10

Step-by-step explanation:

So if you have to pay 55 out front and then continue to pay 19.50 monthly the equation will look like this:

19.50*m + 55 = x

(M stands for month)

She has 250 dollars to spend so add that in for x

19.50*m + 55 = 250.  

Use inverse operations.

250-55 and 55-55

19.50*m = 195

195/19.50 and 19.50/19,50

m=10

Your answer is 10

7 0
3 years ago
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink
ddd [48]

Answer:

Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.

Step-by-step explanation:

Let, the company make x liters of drink A

The company makes drink B of (80+x) liter. Since the company make 80 more liters of Drink B than liters Drink A .

Given drink A contains 20% real fruit.

Therefore x liters of drink A contains =\frac{20}{100}\times x liters=\frac{x}{5} liters real fruit.

Drink B contains 5% real fruit juice.

(80+x) liters of drink B contains =\frac{5}{100}\times (80+x) liters =\frac{80+x}{20} liter real fruit.

The company used 56.5 liters of real fruit juice to make Drink A and Drink B.

According to the problem,

\frac{80+x}{20}+\frac{x}{5}= 56.5

\Rightarrow \frac{80+x+4x}{20}=56.5

⇒80+5x = 56.5×20

⇒80+5x=1130

⇒5x=1130-80

⇒5x=1050

\Rightarrow x=\frac{1050}{5}

⇒x=510

Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.

                                                           

4 0
3 years ago
1. Is -7+9=-9+7 true, false, or open? (1 point)
Nadusha1986 [10]
1. Is false

It is false because -7+9 equal 2 and -9+7 equal -2
8 0
4 years ago
Read 2 more answers
Which pair of fractions is equivalent to the pair 3/5 and 2/7
s2008m [1.1K]

Answer:

\frac{21}{35} and \frac{10}{35}

Step-by-step explanation:

21/35 and 10/35. This pair of fractions is equivalent to this pair: 3/5 and 2/7.

5 0
3 years ago
Find the general solution to the homogeneous differential equation. d2ydx2−1dydx−30y=0 d2ydx2−1dydx−30y=0 Use c1c1 and c2c2 in y
lukranit [14]

Answer:

The general solution of second order homogeneous differential equation is y(x)=c_1e^{6x}+c_2e^{-5x}

Step-by-step explanation:

To find the general solution of this second order homogeneous differential equation \frac{d^2y}{dx^2}-\frac{dy}{dx}-30y=0 we are going to use this Theorem:

<em>Given the differential equation a \ddot{y}+b\dot{y}+cy =0, a\neq 0, consider the quadratic polynomial ax^2+bx+c, called the</em><em> characteristic polynomial.</em><em> Using the quadratic formula, this polynomial always has one or two roots, call them r and s. The general solution of the differential equation is:</em>

<em>(a) \ds y=Ae^{rt}+Be^{st} if the roots r and s are real numbers and r\not=s.</em>

<em>(b) \ds y=Ae^{rt}+Bte^{rt}, if r=s is real.</em>

<em>(c) \ds y=A\cos(\beta t)e^{\alpha t}+B\sin(\beta t)e^{\alpha t}, if the roots r and s are complex numbers \alpha+\beta i and \alpha-\beta i</em>

Applying the above Theorem we have:

\mathrm{Substitute\quad }\frac{d^2y}{dx^2},\:\frac{dy}{dx}\mathrm{\:with\:}\ddot{y},\dot{y}

\ddot{y}-\dot{y}-30y=0

The characteristic polynomial is x^2-x-30 and we find the roots as follows:

\mathrm{Break\:the\:expression\:into\:groups}

\left(x^2+5x\right)+\left(-6x-30\right)

\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+5x\mathrm{:\quad }x\left(x+5\right)

\mathrm{Factor\:out\:}-6\mathrm{\:from\:}-6x-30\mathrm{:\quad }-6\left(x+5\right)

\mathrm{Factor\:out\:common\:term\:}x+5

\left(x+5\right)\left(x-6\right)

The roots of characteristic polynomial are r=-5 and s=6

Therefore the general solution of second order homogeneous differential equation is y(x)=c_1e^{6x}+c_2e^{-5x}

5 0
4 years ago
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