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3 years ago

Complete the equation of the line whose y-intercept is (0, -1) and slope is 4. (Khan academy)

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

5 0

Answer:

y = 4x - 1

Step-by-step explanation:

y = mx + b

Here m is slope and b is y-intercept

m = 4; b = -1

y = 4x - 1

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15. Scott and Tara were asked to find the

Dmitriy789 [7]

Answer:

Both Scott and Tara have responded correctly.

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

A=(1/2)[b1+b2]h

we have

b1=16 cm

b2=24 cm

h=8 cm -----> Note The height is 8 cm instead of 18 cm

substitute

A=(1/2)[16+24](8)

A=160 cm²

Verify Scott 's work

Note Scott wrote A = (1/2)(24 + 16)(8) instead of A = 2(24 + 16)(8)

Remember that the Commutative Property establishes "The order of the addends does not alter its result"

(24+16)=(16+24)

A = (1/2)(24 + 16)(8)=160 cm²

Verify Tara's work

Note Tara wrote A = (1/2)(16+24)(8) instead of A = (16 + 24)(8)

A = (1/2)(16+24)(8)=160 cm²

5 0

3 years ago

What is the slope of the line represented by the equation y = =-1/2 x+ 1/4?

Lemur [1.5K]

Answer:

-1/2

Step-by-step explanation:

y = mx + c is the standard form of the equation where m is slope. Comparing the question to the equation we get

m = -1/2

3 0

3 years ago

Divide, 24x^6 - 12x^3 divided by 4x^3 Simplify as much as possible

LekaFEV [45]

24x6=24-(12x3)-12 divided 4x3is 12
The awnser:0

Hope it help

3 0

3 years ago

Which equation does the graph of the systems of equations solve?

Viktor [21]

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

$\frac{1}{3}x+1=2x-4$

Subtract 1 from both sides

$\frac{1}{3}x+1-1=2x-4-1$

Simplify

$\frac{1}{3}x=2x-5$

subtract 2x from both sides

$\frac{1}{3}x-2x=2x-5-2x$

Simplify

$-\frac{5}{3}x=-5$

Multiply both sides by 5

$3\left(-\frac{5}{3}x\right)=3\left(-5\right)$

Simplify

$-5x=-15$

Divide both sides by -5

$\frac{-5x}{-5}=\frac{-15}{-5}$

Simplify

$x=3$

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

4 0

3 years ago

A block is set in motion hanging from a spring and oscillates about its resting position

coldgirl [10]

Answer:

t = 1.277 sec and t = 2.848 sec

Step-by-step explanation:

This problem is much more easily done by graphing it than by computing it using algebra.

The values of t we're looking for are the ones that make x = 0, so we want the solutions of $0.6sin(2t)+0.4cos(2t)=0$ on the interval [0, 3].

According to the graph, this is true when t = 1.277 seconds and t = 2.848 seconds.

8 0

3 years ago

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