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den301095 [7]
3 years ago
7

Write an equation of the line with the given slope and y-intercept. slope: -7 y-intercept: 2​

Mathematics
2 answers:
madreJ [45]3 years ago
8 0

Answer:

y= -7x+2

Step-by-step explanation:

dimaraw [331]3 years ago
8 0

Answer:

y = -7x + 2

Step-by-step explanation:

The y-intercept is 2. The slope is x which is -7.

Write the equation now.

-7x + 2.

~I hope I helped you! :)~

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A school has 600 students. If 5%<br> are absent, how many students are<br> absent?
qwelly [4]

Answer:

30 students are absent.

Step-by-step explanation:

5%=0.05

0.05*600=30

8 0
2 years ago
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What is the equation of the straight line that passes through (2,1) (5,7)
VMariaS [17]

Answer:

y = 2x - 3

Step-by-step explanation:

We are asked to find the equation of a straight line

Step 1: find the slope

( 2 , 1) ( 5 , 7)

x_1 = 2

y_1 = 1

x_2 = 5

y_2 = 7

Insert the values into the equation

m = (y_2 - y_1 )/ (x_2 - x _1)

m = (7 - 1 )/ (5 - 2)

m = 6/3

= 2

Step 2: substitute m into the equation

y = mx + c

y = 2x + c

Step 3 : sub any of the two points given into the equation

Let's use ( 2, 1)

x = 2

y = 1

y = 2x + c.

1 = 2(2) + c

1 = 4 + c

c = 1 - 4

c = -3

Step 4: sub c into the equation

y = 2x + c

y = 2x - 3

7 0
3 years ago
A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st
shutvik [7]

Answer:

Equation of movement y(t)

y(t)=sin(10t-\pi/2)

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

A=1\,inch

The period depends on the mass and the spring constant.

The formula for the period is:

T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s

The model y(t) for the movement of the mass-spring system is

y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)

8 0
3 years ago
7​% of ​$582 is how​ much?
ipn [44]

Answer:

$541.26

Step-by-step explanation:

Please let me know if this helps

Plz mark B R A I N L I E S T

5 0
3 years ago
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Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the so
Ymorist [56]

The 40 ml solution is said to be created from 10 ml and 30 ml solutions. In mixture problems, we equate the final mixture to its compositions given the concentration for each.  A 10 ml has 20% acid and the 30 ml has C (unknown). We can write the total liters for 10 ml as 10(.2) and 30(c) for the 30 ml. when two solutions were added, it should be equal to 40ml with 32% acid. Therefore, it should be written as 10(.2) + 30(c) = 40(.32). The answer is A

7 0
3 years ago
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