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2 years ago

The points on this graph represent a relationship between x- and y-values. Which statement about the relationship is true?

Mathematics

1 answer:

SpyIntel [72]2 years ago

6 0

Answer:

Option D...

Step-by-step explanation:

Need to proportional ..which leads only the rate of increase per increasing values ....

For eg.

x=2y

While giving values to y we have ..

y=1 =>x=2

y=2 =>x=4

. . . .

That the constant rate of increase will leads a straight path ....

No need to from or at origin ie., (0,0)

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Use the four-step definition of the derivative to find f'(x) if f(x) = −4x^3 −1.

guapka [62]

$\stackrel{de finition \textit{ of a derivative as a limit}}{\lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{[-4(x+h)^3-1]~~ - ~~[-4x^3-1]}{h} \\\\\\ \cfrac{[-4(x^3+3x^2h+3xh^2+h^3)-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{[-4x^3-12x^2h-12xh^2-4h^3-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{-4x^3-12x^2h-12xh^2-4h^3-1+4x^3+1}{h}\implies \cfrac{-12x^2h-12xh^2-4h^3}{h}$

$\cfrac{h(-12x^2-12xh-4h^2)}{h}\implies -12x^2-12xh-4h^2 \\\\\\ \lim\limits_{h\to 0}~-12x^2-12xh-4h^2\implies \lim\limits_{h\to 0}~-12x^2-12x(0)-4(0)^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \lim\limits_{h\to 0}~-12x^2~\hfill$

7 0

2 years ago

The price of a television was reduced from 250 to 200. by what percentage was the price of the television reduced

Murljashka [212]

Answer:

20%

Step-by-step explanation:

We can start by finding out how much the price of the television was reduced by.

250 - 200 = 50

Now, we need to know what percent of 250 is 50? Let x represent the percent of 250 that is 50. Using this, we can set up an equation:

<u /> $x\%\times 250=50$

Notice that a percentage can also be written as that number over 100.

$\frac{x}{100}\times250=50$

$\frac{250x}{100}=50$

Reduce the fraction (250 and 100 have a common factor of 10)

$\frac{25x}{10}=50$

Reduce the fraction again (25 and 10 have a common factor of 5)

$\frac{5x}{2}=50$

Multiply both sides by two

$5x=100$

Divide both sides by 5

$x=20$

Therefore the price of the television was reduced by 20%.

4 0

2 years ago

Find the y-intercept of the line who's equation is Y = 3.5 x- 0.4.

agasfer [191]

$\sf y=mx+b$

m is the slope
b is the y-intercept

so that means that the y-intercept of

$\sf y=3.5x + .4$

is $\sf .4$

$\bf{\huge{\boxed{y-intercept = .4}}}$

7 0

3 years ago

Read 2 more answers

Calculate the vertex of the quadratic function: <br> y= -4^2 + 8x -9

expeople1 [14]

Answer:

f(x)=8x-25

Step-by-step explanation:

6 0

3 years ago

Can someone help me with this question please.

ozzi

Answer:

x=88° a=+3 b=4a-3

Step-by-step explanation:

as triangles ADE and BCE are congruent by sss axiom

so correponding angles are equal

i.e<AED = <BEC

and <DAE =90-60

=30°

62°+x+30°=180°

therefore x=88°

5 0

4 years ago