What is 40.53 ounces converted to liters?

2y = x + 3 5y = x - 7 What is the solution set of the given system?

prohojiy [21]

<span>2y = x + 3 then x = 2y - 3
5y = x - 7 then x = 5y + 7

so
</span>2y - 3 = 5y + 7
2y - 5y = 7 + 3
-3y = 10
y = -10/3
y = -3 1/3

<span>2y = x + 3
</span>2 (-10/3) = x + 3
-20/3 - 3 =x
-29/3 = x
-9 2/3 =x
or
x = -9 2/3

solutions: x = -9 2/3 and y = -3 1/3

5 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLYIST!!! ♦♦♦♦♦

sveticcg [70]

Answer:

A. (3,1)

B. g(x)=|x-3|+6

C. h(x)=-|x-3|-6

Step-by-step explanation:

A. To graph the absolute value function f(x) = |x - 3| + 1, first graph the parent absolute value function y=|x| and then translate it 3 units to the right and 1 unit up (see green graph in attached diagram). The vertex of the function f(x) is at point (3,1).

B. The function g(x) translates f(x) 5 units up, so its equation is

g(x)=f(x)+5

g(x)=|x-3|+1+5

g(x)=|x-3|+6

Blue graph in attached diagram.

C. The function h(x) reflects g(x) over the x-axis, so the equation of the function h(x) is

h(x)=-g(x)

h(x)=-(|x-3|+6)

h(x)=-|x-3|-6

Red graph in attached diagram.

7 0

3 years ago

The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotation

a_sh-v [17]

The correct option is (c) h = 10sin(π15t)+35.

The equations can be used to model h, the height in feet of the end of one blade, as a function of time, t, in seconds is h = 10sin(π15t)+35.

<h3>How do windmills rotate?</h3>

The blades of a turbine, which resemble propellers and function much like an airplane wing, capture the wind's energy.

A pocket of low-pressure air develops on one side of the blade when the wind blows. The blade is subsequently drawn toward the low-pressure air pocket, which turns the rotor.

Calculation for the equation of the model height-

Let's now review each choice individually and select the best one.

The blade is horizontal at time t = 0. As a result, h = 35 at t = 0 is valid for all of the possibilities in this situation.

They accomplish two spins in a minute. The blades will so complete one rotation in 30 seconds. and they will complete a quarter rotation in 15/2 seconds. Because of this, the blade will be vertically up from time t = 0 to t = 15/2. Its height in this instance should be 35 + 10 = 45 ft. Let's now examine the available possibilities.

If we put t=15/2 in the options

Option (a) gives h = 25

Option (b) gives h = -10sin(15/2) + 35

Option (c) gives h = 45

Option (d) gives h = 10sin(15/2) + 35

Therefore, the correct equation is given in option c.

To know more about windmill, here

brainly.com/question/2031508

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The complete question is -

The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotations every minute. Which of the following equations can be used to model h, the height in feet of the end of one blade, as a function of time, t, in seconds? Assume that the blade is pointing to the right, parallel to the ground at t = 0 seconds, and that the windmill turns counterclockwise at a constant rate.

a) h = −10sin(π15t)+35

b) h = −10sin(πt)+35

c) h = 10sin(π15t)+35

d) h = 10sin(πt)+35

6 0

2 years ago

A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue

stepladder [879]

Answer:

$9$ right-handed gloves and $3$ left-handed gloves were sold.