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3 years ago

15

Find the sum: −11−7−3+1+⋯+225

2 answers:

Sav [38]3 years ago

6 0

Step-by-step explanation:

-11-7-3+1+225

-21+1+225

-20+225

205

Oksana_A [137]3 years ago

4 0

Answer:

205

Step-by-step explanation:

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After being exposed to an electromagnetic shrinking machine, Joe's height decreased by 120120120 cm over 1.51.51, point, 5 secon

LuckyWell [14K]

Answer:It is given that Joe was being exposed to an electromagnet shrinking machine. Because of this his height started decreasing .

Given,

The decrease was at a constant rate per second.

In 1.5sec, the height is decreased by 120cm.

So,

Variation per second =

Change in each second would be with negative sign indicate's decrease .

Hence, Answer is “-80” .

Step-by-step explanation:

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2 years ago

Write an appropriate direct variation equation if y = 27 when x = 9

Yuri [45]

Y = kx where k is a constant

27 = k*9
k = 27/9 = 3

required variation is y = 3x

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3 years ago

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What is the following solution to |x+3|=12

vladimir1956 [14]

$|x|=a\iff x=a\ or\ x=-a\\==============================\\|x+3|=12\iff x+3=12\ or\ x+3=-12\ \ \ \ |subtract\ 3\ from\ both\ sides\\\\\boxed{x=9\ or\ x=-15}$

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3 years ago

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How do I simplify 7 to the power of 1

Savatey [412]

$\huge\boxed{7}$

Any number to the power of $1$ is itself. So, $7^1 = \boxed{7}$ .

Here are some more examples:

$382^1 = 382$

$0^1 = 0$

$\pi^1 = \pi$

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2 years ago

Please help! i dont understand

kvv77 [185]

QUESTION 1

The given inequality is

$y\leq x-3$ and $y\geq -x-2$ .

If (3,-2) is a solution; then it must satisfy both inequalities.

We put x=3 and y=-2 in to both inequalities.

$-2\leq 3-3$ and $-2\geq -3-2$ .

$-2\leq 0$ :True and $-2\geq -5$ :True

Both inequalities are satisfied, hence (3,-2) is a solution to the given system of inequality.

QUESTION 2

The given inequality is

$y\:>\:-3x+3$ and $y\:>\: x+2$ .

If (1,4) is a solution; then it must satisfy both inequalities.

We put x=1 and y=4 in to both inequalities.

$4\:>\:-3(1)+3$ and $4\:>\: 1+2$ .

$4\:>\:0$ :True and $4\:>\: 3$ :True

Both inequalities are satisfied, hence (1,4) is a solution to the given system of inequality.

Ans: True

QUESTION 3

The given inequality is

$y\leq 3x-6$ and $y\:>\: -4x+2$ .

If (0,-2) is a solution; then it must satisfy both inequalities.

We put x=0 and y=-2 in to both inequalities.

$-2\leq 3(0)-6$ and $-2\:>\: -4(0)+2$ .

$-2\leq -6$ :False and $-2\:>\:2$ :False

Both inequalities are not satisfied, hence (0,-2) is a solution to the given system of inequality.

Ans:False

QUESTION 4

The given inequality is

$2x-y\:$ and $x+y\:>\:-1$ .

If (0,3) is a solution; then it must satisfy both inequalities.

We put x=0 and y=3 in to both inequalities.

$2(0)-3\:$ and $0+3\:>\:-1$ .

$-3\:$ :True and $3\:>\:-1$ : True

Both inequalities are satisfied, hence (0,3) is a solution to the given system of inequality.

Ans:True

QUESTION 5

The given system of inequality is

$y\:>\:2x-3$ and $y\:$ .

If (-3,0) is a solution; then it must satisfy both inequalities.

We put x=-3 and y=0 in to both inequalities.

$0\:>\:2(-3)-3$ and $0\:$ .

$0\:>\:-9$ ;True and $0\:$ :True

Both inequalities are satisfied, hence (-3,0) is a solution to the given system of inequality.

Ans:True

3 0

3 years ago