All categories

3 years ago

Help? Only right answers get thanks and five stars.

Mathematics

2 answers:

lora16 [44]3 years ago

4 0

Slope: -3
y-intercept: (0,-2)

ddd [48]3 years ago

3 0

Answer:

*see picture for answer*

Step-by-step explanation:

So this is in y=mx+b form (slope intercept form) so this is easy

in y=mx+b m stand for slope

and b stands for y intercept

Slope means $\frac{rise}{run}$

*sorry for the terrible drawing*

Hope this helps! Have a nice day! Please consider making me Brainliest!

You might be interested in

Prove or disprove (from i=0 to n) sum([2i]^4) <= (4n)^4. If true use induction, else give the smallest value of n that it doe

ddd [48]

Answer:

The statement is true for every n between 0 and 77 and it is false for $n\geq 78$

Step-by-step explanation:

First, observe that, for n=0 and n=1 the statement is true:

For n=0: $\sum^{n}_{i=0} (2i)^4=0 \leq 0=(4n)^4$

For n=1: $\sum^{n}_{i=0} (2i)^4=16 \leq 256=(4n)^4$

From this point we will assume that $n\geq 2$

As we can see, $\sum^{n}_{i=0} (2i)^4=\sum^{n}_{i=0} 16i^4=16\sum^{n}_{i=0} i^4$ and $(4n)^4=256n^4$ . Then,

$\sum^{n}_{i=0} (2i)^4 \leq(4n)^4 \iff \sum^{n}_{i=0} i^4 \leq 16n^4$

Now, we will use the formula for the sum of the first 4th powers:

$\sum^{n}_{i=0} i^4=\frac{n^5}{5} +\frac{n^4}{2} +\frac{n^3}{3}-\frac{n}{30}=\frac{6n^5+15n^4+10n^3-n}{30}$

Therefore:

$\sum^{n}_{i=0} i^4 \leq 16n^4 \iff \frac{6n^5+15n^4+10n^3-n}{30} \leq 16n^4 \\\\ \iff 6n^5+10n^3-n \leq 465n^4 \iff 465n^4-6n^5-10n^3+n\geq 0$

and, because $n \geq 0$ ,

$465n^4-6n^5-10n^3+n\geq 0 \iff n(465n^3-6n^4-10n^2+1)\geq 0 \\\iff 465n^3-6n^4-10n^2+1\geq 0 \iff 465n^3-6n^4-10n^2\geq -1\\\iff n^2(465n-6n^2-10)\geq -1$

Observe that, because $n \geq 2$ and is an integer,

$n^2(465n-6n^2-10)\geq -1 \iff 465n-6n^2-10 \geq 0 \iff n(465-6n) \geq 10\\\iff 465-6n \geq 0 \iff n \leq \frac{465}{6}=\frac{155}{2}=77.5$

In concusion, the statement is true if and only if n is a non negative integer such that $n\leq 77$

So, 78 is the smallest value of n that does not satisfy the inequality.

Note: If you compute $(4n)^4- \sum^{n}_{i=0} (2i)^4$ for 77 and 78 you will obtain:

$(4n)^4- \sum^{n}_{i=0} (2i)^4=53810064$

$(4n)^4- \sum^{n}_{i=0} (2i)^4=-61754992$

7 0

3 years ago

What is a gradient of a line

Dennis_Churaev [7]

(slope) The higher the gradient<span> of a graph at a point, the steeper the </span>line<span> is at that point.</span>

4 0

3 years ago

Read 2 more answers

Do jakiej szkoły po podstawówce można iść bez matematyki (mniej ważna

Viktor [21]

Answer:

Gimnazjum?

Również twoje pytanie jest trudne dla ludzi, którzy mówią po angielsku ...

4 0

3 years ago

Read 2 more answers

A cylinder has a height of 12cm.

stich3 [128]

Answer:

the answer for your question is 1200pi

4 0

2 years ago

2.5 (8.6 ÷ 2 – 1.8)

Alina [70]

Answer:

6.25 is the answer

Step-by-step explanation:

work in the () first

2.5(8.6÷2-1.8)

2.5(2.5)

the multiply the two numbers and get 6.25

hope this helps

7 0

3 years ago

Read 2 more answers