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Ahat [919]
3 years ago
11

In slope-intercept form, what is the equation of a line perpendicular to y = 2x+ 7 that passes through the point (5, 8)?

Mathematics
1 answer:
Masja [62]3 years ago
4 0

Find slope as negative reciprocal of 2 => m=-1/2

y=mx + b

8=5(-1/2) +b

b=21/2

y= -1/2x +21/2

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Find the domain of f/g
san4es73 [151]

Answer:

C. All real numbers except 3/4

Step-by-step explanation:

We are given

f(x)=3x^2+x^4+2

g(x)=4x-3

Firstly, we will find f/g

\frac{f}{g}=\frac{3x^2+x^4+2}{4x-3}

Domain:

We know that domain is all possible values of x for which any function is defined

so, we know that denominator of any function can not be zero

so, firstly we set denominator =0

and then we can solve for x

4x-3=0

Add both sides by 3

4x-3+3=0+3

4x=3

x=\frac{3}{4}

so, this function is defined for all values of x except at

x=\frac{3}{4}

Domain will be

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5 0
3 years ago
John is about to roll a six sided, fair number cube 60
sukhopar [10]

Answer:

No it is not a good prediction. Theoretical probability says that the answer would be 30 of the 60 (30/60) rolls would be even numbers.

Step-by-step explanation:

The probability of rolling an even number on a fair six sided die is 3/6 or 1/2 when simplified.

if john rolls the die 60 times, multiply the theoretical probability (1/2) by the number of rolls

(1 ÷ 2) x 60 = 30

∴ theoretical probability says that john would roll an even number 30 out of the 60 rolls

I hope this was helpful :-)

7 0
3 years ago
Read 2 more answers
Which statement best describes parallel lines?
Margaret [11]

Answer:

Step-by-step explanation:

Parallel lines have identical slopes and different y intercepts.

y = 3x + 2

y = 3x + 9

These lines are parallel with the same slopes (3) and different y intercepts (2 and 9)

7 0
2 years ago
What is 689 divided by 24
ozzi
28.7083333333...
But you could also round it up to 29.
3 0
3 years ago
Solve using the square root property.X^2=-12
Alla [95]

Answer:

x = ± 2i\sqrt{3}

Step-by-step explanation:

note that \sqrt{-1} = i

x² = - 12 ( take square root of both sides )

x = ± \sqrt{-12} = ± \sqrt{4(3)(-1)} = ± 2i\sqrt{3}

5 0
2 years ago
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