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2 years ago

(_+10)(_+-1)= 11x^2+17x-10 in factored form

Mathematics

1 answer:

Sever21 [200]2 years ago

4 0

Answer:

The factored form will be:

$11x^2+17x-10=\left(11x-5\right)\left(x+2\right)$

Step-by-step explanation:

Given the expression

$11x^2+17x-10$

Breaking the expression into groups

$=\left(11x^2-5x\right)+\left(22x-10\right)$

factoring out x from 11x²-5x

11x²-5x = x(11-5)

factoring out 2 from 22x-10

22x-10 = 2(11x-5)

so the expression becomes

$=x\left(11x-5\right)+2\left(11x-5\right)$

factoring out common term 11x-5

$=\left(11x-5\right)\left(x+2\right)$

Therefore, the factored form will be:

$11x^2+17x-10=\left(11x-5\right)\left(x+2\right)$

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This table shows temperatures in an Arctic city during

ioda

According to the temperature changes, it is found that:

On Tuesday, the temperature at Noon was of -28.5 ºF.

On Wednesday, the temperature at Midnight was of -5.5 ºF.

On Thursday, the change was of -11.8 ºF.

On Friday, the temperature at Noon was of -4.5 ºF.

<h3>What is the temperature change?</h3>

The temperature change during a period is given by the temperature at the end of the period subtracted by the temperature at the start of the period.

On Tuesday:

At the start of the period, the temperature was of -17.5 ºF.

The change was of -11 ºF.

Hence:

$-11 = T_N - T_M$

$-11 = T_N + 17.5$

$T_N = -28.5$

On Tuesday, the temperature at Noon was of -28.5 ºF.

On Wednesday:

At the end of the period, the temperature was of 10 ºF.

The change was of 15.5 ºF.

Hence:

$15.5 = 10 - T_M$

$T_M = -5.5$

On Wednesday, the temperature at Midnight was of -5.5 ºF.

On Thursday:

At the end of the period, the temperature was of -24 ºF.

At the start of the period, the temperature was of -12.2 ºF.

Hence:

$C = -24 - (-12.2) = -24 + 12.2 = -11.8$

On Thursday, the change was of -11.8 ºF.

On Friday:

At the start of the period, the temperature was of -21.8 ºF.

The change was of 17.3 ºF.

Hence:

$17.3 = T_N - T_M$

$17.3 = T_N + 21.8$

$T_M = -4.5$

On Friday, the temperature at Noon was of -4.5 ºF.

You can learn more about change at brainly.com/question/24313700

8 0

2 years ago

G=x-c/x. for x how do yoy make this an equation for x? help

zzz [600]

1.
$\displaystyle \text{if }\quad G=x- \frac{C}{x} \\\\$

$x \neq 0$

Multiply both sides by x:

$\displaystyle Gx=x\bigg(x- \frac{C}{x}\bigg )\\\\Gx=x^2-C$

Subtract from both sides Gx:
$Gx-Gx=x^2-C-Gx\\x^2-Gx-C=0$

Then solve this equation:

$\displaystyle x^2-Gx-C=0\\\\x_{1,2}= \frac{G\pm \sqrt{G^2+4C} }{2}$

2.
$\displaystyle\text{if}\quad G= \frac{x-C}{x}$

$x \neq 0$

Multiply both sides by x:

$Gx=x-C$

Subtract from both sides Gx:

$x-C-Gx=0$

Then solve this equation:

$\displaystyle x-Gx-C=0\\x(1-G)=C\\x= \frac{C}{1-G}$

7 0

2 years ago

Which of the following scenarios MUST represent two independent events?

egoroff_w [7]

Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%

Step-by-step explanation:

Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:

P(A)∩P(B)

thus from the example, independent events will be:

P(blue)=70%, P(green)=30%, P(blue and green)=21%

Because:

P(blue)∩P(green)=0.7×0.3=0.21=21%

7 0

2 years ago

What is 245,893 in scientific notation

s2008m [1.1K]

The goal of writing a number in scientific notation is to have a decimal number, with one digit to theleft of the decmial point, followed by a × 10to some power.

To format your number in this way, we'll divide the 245,893 by 10, 2time(s), making it a 2.45.
We do this, because each division by 10 moves the decimal point to the left one digit.
But in order to keep our number the same number, we must have a × 102next to the 2.45.

So, the final answer is 2.45 × 102 (: Hope im right!

3 0

2 years ago

Emade

torisob [31]

Answer:

666 divided by 6 is 111. So, they would need 111 vans.

3 0

3 years ago

Read 2 more answers