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3 years ago

PLZ HELP!! Algebra is not my thing, 30 points!! 5x + 2 = 3x + 4(2x - 1)

Mathematics

1 answer:

ira [324]3 years ago

8 0

Answer:

$5x + 2 = 3x + 4(2x - 1) \\ 5x + 2 = 3x + 8x - 4 \\ 3x + 8x - 5x = 2 + 4 \\ 6x = 6 \\ \boxed{x = 1}$

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A teacher gave her class two exams; 60% of the class passed the second exam, but only 48% of the class passed both exams. What p

Levart [38]

The answer is the last one - 48%

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3 years ago

6) (after 2.3) Consider the infinite system of linear equations in two variables given by ax + by = 0 where (a, b) moves along t

Paraphin [41]

Answer:

Step-by-step explanation:

Given infinite system of linear equations is ax + by = 0

when (a,b) moves along unit circle in plane.

a) system having unique system (0, 0)

Since two of equation in thus system will be

$1.x+0.y=0\\x=0$

and

$0.x+1.y=0\\y=0$

It is clear that x = 0, y= 0 is the only solution

b) Linear independent solution in this system gives some set of solutions

$1.x+0.y=0\\\x=0$

and

$0.x+1.y=0\\y=0$

Vector form is

$\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I$

c) for this equation if add 0x +0y = 0 to system , Nothing will change

Because [0,0] satisfies that equation

d) If one of the equation is ax + by = 0.00001

where 0.00001 is small positive number

so, the system will be inconsistent

Therefore, the system will have no solution.

6 0

3 years ago

Chantal bicycles at a speed of 20 miles per hour and has already riden 45 miles when Trisha begins cycling. Trish bicycles at a

melomori [17]

Answer:

Chantal and Trisha will have both traveled 105 miles in 20 minutes.

Step-by-step explanation:

$y$ is distance in miles, $x$ is time in hours.

The two equations are:

$y = \frac{20}{x} + 45$

$y = \frac{35}{x}$

Set them equal to each other and solve for x:

$\frac{35}{x} = \frac{20}{x} + 45$

$\frac{35}{x} - \frac{20}{x} = 45$

$\frac{35-20}{x} = 45$

$\frac{15}{x} = 45$

$x = \frac{15}{45} = \frac{1}{3} hours = 20 minutes$

Plug that back into the equations to confirm this $x$ gives the same $y$ :

$y = \frac{20}{1/3} + 45 = 105 miles$

$y = \frac{35}{1/3} = 105 miles$

4 0

2 years ago

Can we combine different functions (quadratic, linear, exponential, cube root) into one piecewise function? If the answer is yes

yanalaym [24]

Answer: yes, because it is useful to describe changes in the behavior of the thing we are describing.

Step-by-step explanation:

A piecewise function f(x) is a function that is "different" depending on the range of the values of x, this is for example:

y = x -----> if x < 0

y = x^2 ----- if x ≥ 0

This is used to represent changes in the behavior of the thing we are describing.

For example, suppose an object that is moving with constant velocity, the velocity graph will be a constant line.

Now, the object suddenly, at a time t = t0 accelerates to a constant acceleration A, now the graph of the velocity is a linear graph with slope equal to A.

So this situation can be represent this with a piecewise function:

V(t) = c -----> if t < t0

V(t) = c + A*t -----> if t ≥ t0

So the answer is yes, we can.

8 0

3 years ago

Plsss help me pleaseee with right answers xoxo

kondaur [170]

Answer:

Step-by-step explanation:

503km

3hr

503/3

16.67

17 should be your average speed

Once you divide it you have to Round the number it gives you so you get a hole number and since 6 is higher then 5 it rounds to 17

if I'm right can I get brainliest please

5 0

3 years ago