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3 years ago

Whats the slope and y-intercept of y=-3x+4?

Mathematics

2 answers:

Helga [31]3 years ago

7 0

Answer:

slope= -3. y intercept is 4

Step-by-step explanation:

the x value is slope and the y value is y intercept.

REMEMBER THIS!!! ITS SUPPPER IMPORTANT

Lisa [10]3 years ago

6 0

Answer:

$\boxed {\sf m= -3}}$

$\boxed {\sf b= 4}$

Step-by-step explanation:

The equation of the line is in slope intercept form or:

$y=mx+b$

where <em>m</em> is the slope and <em>b</em> is the y-intercept.

Essentially:

The coefficient to x, or number being multiplied is the slope
The number added or subtracted from the x term is the y-intercept

The line given is:

$y= -3x+4$

-3 is the coefficient of x and 4 is being added to -3x.

The slope (m) is -3 and the y-intercept (b) is 4.

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A diver from the university of Florida women’s swimming and diving team is competing in the NCAA Zone Championships. She is comp

Rzqust [24]

Answer: We can get all of the answers by looking at the parts of the graph.

1) The height of the board is about 10, that is all the way at the left.

2) The maximum height is 10.8 at the vertex of the graph.

3) The time at the vertex is 0.4 seconds.

4) The diver enters the water after 1.9 seconds, it is at the bottom right.

8 0

3 years ago

Read 2 more answers

Would you rather have a pound of quarters or a pound of dimes? Please explain

lana66690 [7]

A dime's mass is 2.268 grams and is worth 10 cents.
A quarter's mass 5.670 grams and is worth 25 cents.
a pound of quarters is theoretically worth the same as a pound of dimes. But there is a cutoff that must be reached because we cannot have fractions of coins... <span>Quarters are vastly more useful, so</span> I would prefer the quarters to dimes :)

6 0

4 years ago

According to einstein, nothing in the universe can move faster than which approximate speed? 1.0 × 107 m/s 1.0 × 108 m/s 3.0 × 1

Helga [31]

The speed of light is 3.0 ×108m/s.

We have ask about the theory of Albert Einstein,

According to einstein, nothing in the universe can move faster than light

<h3>What is the speed of the light?</h3>

Albert Einstein said that nothing travels faster than the speed of light, and the speed of light is

$3.0\times108 m/s$

So that the nothing can travels faster than the speed of light.

light travels with very high speed.

Therefore we get the correct option is 3.

That is the speed of light is 3.0 ×108m/s.

To learn more about the speed of light visit:

brainly.com/question/104425

4 0

2 years ago

Is 7 a solution for -7 = -56 + 7t yes or no

Neporo4naja [7]

Answer:

yes

Step-by-step explanation:

multiply 7x7 and you will get 49. Then do 49- 56 and you will get -7. So the statement is true.

5 0

3 years ago

Read 2 more answers

Divide 16x3 – 12x2 + 20x – 3 by 4x + 5.

nalin [4]

Answer:

$4x^2 - 8x + 15 - \frac{78}{4x+5}$

Step-by-step explanation:

<em>To solve polynomial long division problems like these, it's helpful to build a long division table. Getting used to building these can make problems like this much simpler to solve.</em>

Begin by looking at the first term of the cubic polynomial.

What would we have to multiply $4x + 5$ by to get an expression containing $16x^3$ ? The answer is $4x^2$ , since $(4x + 5) \times 4x^2 = 16x^2 + 20x$ .

This is the first step of our long division, and we write out the start of our long division table like this:

${ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,16x^3 + 20x^2\\$

On the left is the divisor. On top is $4x^2$ . In the middle is the polynomial we are dividing, and on the bottom is the result of multiplying our divisor by

The next step is to subtract the bottom expression from the middle one, like so:

${ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,0x^3 - 32x^2\\$

We are left with $-32x^2$ . The next thing to do is to add the next term of the polynomial we are dividing to the bottom line, like this:

Now we return to the beginning of the instructions, and repeat the process: namely, what would we have to multiply $4x + 5$ by to get an expression containing $-32x^2$ ? The answer is $-8x$ , and we fill out our long division table like so:

${ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2 - \,\,\,\,8x\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 - 40x\\$

Once again, we subtract the bottom expression from the one above it, and include the next term of the divisor, like so:

${ }\qquad{ }\qquad{ }\quad{ }4x^2 - \,\,\,\,8x \,+ 15\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{- 32x^2 - 40x}\\{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\,\,\,\,\,60x - 3\\$

And repeat. What do we multiply $4x + 5$ by to get an expression containing $60x$ ? The answer is 15. Our completed long division table looks like this: ${ }\qquad{ }\qquad{ }\quad{ }4x^2 - \,\,\,\,8x \,+15\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{- 32x^2 - 40x}\\{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\,\,\,\,\,60x - 3\\{ }\qquad{ }\hspace{3cm}\,\,\underline{60x + 75}\\{ }\hspace{4.3cm}\,\,-78$

Now, the expression at the top,

$4x^2 - 8x + 20x + 15$

is our quotient, and the last number, $-78$ , is our remainder.

Hence we arrive at the solution of

$\frac{16x^3-12x^2+20x-3}{4x+5} =4x^2 - 8x + 15 - \frac{78}{4x+5}.$

6 0

3 years ago