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2 years ago

Simplify (2x2−4x+5)+(x2+3x−7)and put in standard form.

Mathematics

2 answers:

elena-s [515]2 years ago

6 0

Answer:

3x^2 - x - 2 (simplified)

3x^2 - x = 2 (standard form)

Step-by-step explanation:

Pavlova-9 [17]2 years ago

3 0

Answer:

$3x^2 - x - 2$

Step-by-step explanation:

<u>Step 1: Combine like terms</u>

$(2x^2- 4x + 5) + (x^2 + 3x - 7)$

$2x^2 - 4x + 5 + x^2 + 3x - 7$

$(2x^2 + x^2) + (-4x + 3x) + (5 - 7)$

$3x^2 - x - 2$

Answer: $3x^2 - x - 2$

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A 79-tooth gear drives a smaller gear which has 42 teeth. If the larger gear rotates at 316 rpm, what is the speed of the smalle

Tresset [83]

Answer:

594 rpm

Step-by-step explanation:

Two gears will have the same linear speed, so:

v₁ = v₂

ω₁ r₁ = ω₂ r₂

(316 rpm) (79) = ω (42)

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3 years ago

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notsponge [240]

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3 years ago

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Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!

astra-53 [7]

Answer:

9 years.

Step-by-step explanation:

Make x the number of years passed.

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6 0

3 years ago

What is the common ratio and explicit formula for -2,6,-18,54?

Snezhnost [94]

Answer:

The explicit formula for a given geometric sequence is of the form

$a_{4} =\frac{1}{(a_{1})^4}$

Step-by-step explanation:

Given sequence is ${\{-2,6,-18,54}\}$

Let $a_{1}=-2,a_{2}=6,a_{3}=-18,a_{4}=54$

To find the common ratio r:

$r=\frac{a_{2}}{a_{1}}$

$=\frac{6}{-2}$

$=-3$

Therefore r=-3

$r=\frac{a_{3}}{a_{2}}$

$=\frac{-18}{6}$

$=-3$

Therefore r=-3

Therefore common ratio is -3

Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is $a_{n}=a_{1}^{r-1}$ , where common ratio is r.

From given sequence we are having r=-3

Therefore the explicit formula for a given geometric sequence is of the form $a_{4} =a_{1}^{-3-1}$

$a_{4} =a_{1}^{-4}$

$a_{4} =\frac{1}{(a_{1})^4}$

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3 years ago

23 POINTS please help me

Arturiano [62]

Answer:

y = x + 2

Step-by-step explanation:

Each y variable is set to be two more than the x variable. This makes the the slope intercept form y = x + 2.

3 0

3 years ago