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3 years ago

Let f(x) = -2x + 6 and g(x) = 5x - 7.

Mathematics

1 answer:

siniylev [52]3 years ago

7 0

Answer:

a) 3x - 1

Step-by-step explanation:

f(x) + g(x)

(-2x + 6) + (5x - 7)

Drop the parentheses

-2x + 6 + 5x -7

5x and -2x can be combined as well as 6 and -7

So, 3x -1

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A circle has a sector with area 27 and central angle of 120

Alex_Xolod [135]

Answer:

81π

Step-by-step explanation:

-The sum of central angles in a circle add up to 360°.

-Let x be the area of the circle.

-Given the area of a 120° is 27π, the circles area can be calculated as:

$A=27\pi\\\\120\textdegree=27\pi\\360\textdegree=x\\\\\therefore x=\frac{360\textdegree\times 27\pi}{120\textdegree}\\\\=3\times 27\pi\\\\=81\pi$

Hence, the area of the circle is 81π

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2 years ago

I’m taking a college algebra test tomorrow and I am super scared. Any advice? Thank you!!

Naily [24]

Answer:

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Step-by-step explanation:

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2 years ago

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densk [106]

Answer:

No factors.

3 - x^2 is prime.

Step-by-step explanation:

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2 years ago

Lines and triangles practices

Marianna [84]

<1 = 123
60 + 63 = 123
180 - 123 = 57
180 n- 57 = 123

Triangle angle-sum theorem
Alternate exterior angles theorem (?)
Same side interior angles theorem

idk what the last one is about sorry

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3 years ago

3. A jet traveled at an average speed of 681 kilometers an hour. At that rate, how far did the jet go in 7 1/4 hours?

Burka [1]

$\stackrel{mixed}{7\frac{1}{4}}\implies \cfrac{7\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{29}{4}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} K ms&hours\\ \cline{1-2} 681 & 1\\ x& \frac{29}{4} \end{array} \implies \cfrac{681}{x}=\cfrac{1}{~~ \frac{29}{4}~~}\implies \cfrac{684}{x}=\cfrac{4}{29} \\\\\\ 19836=4x\implies \cfrac{19836}{4}=x\implies 4959=x$

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2 years ago