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3 years ago

Could i have help??? There is 2 questions.

Mathematics

1 answer:

liberstina [14]3 years ago

6 0

First one:
3x+5<23
3x<18 (subtract 5 from both sides)
x<6
So A: less than 6 cars

Second one:
3(x-4)+5(2x+1)
3x-12+10x+5 (distribute)
So the answer is C

Hope this helps

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the angle theta is located in quadrant 1 and cos of theta is 3/8. what is the value of sin of theta ?

ra1l [238]

Answer: sin of theta = (√55)/8

Step-by-step explanation:

Cosine is the x-value divided by the hypotenuse. We now know that since cosine is 3/8, that the hypotenuse is 8. In order to find the third side of the triangle (which would be the v-value), we must use Pythagorean theorem. The third side is square root 55. Sine equals the y-value divides by the hypotenuse. We know both of those values, so Sine of theta = square root of 55 divided by 8.

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3 years ago

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4 years ago

PLEASE HELP!!<br><br> what is the explicit formula for this sequence -7, -4, -1, 2, 5

trasher [3.6K]

Answer:

The explicit formula for the given expression is $a_n=-10+3n$ .

Step-by-step explanation:

The given sequence is

-7, -4, -1, 2, 5

The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.

The first term of the given AP is -7 and the common difference is

$-4-(-7)=-4+7=3$

The explicit formula for an AP is

$a_n=a+(n-1)d$

Where, a is first term, d is common difference and n is number of terms.

Substitute a=-7 and d=3 in the above equation.

$a_n=-7+(n-1)3$

$a_n=-7+3n-3$

$a_n=-10+3n$

Therefore the explicit formula for the given expression is $a_n=-10+3n$ .

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3 years ago

6 grade math problem

lesya [120]

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Step-by-step explanation:

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3 years ago

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abruzzese [7]

Solution :

Given, the equation $y=-2x$ .

To graph the equation on the coordinate plane, we first need to derive the different points of the equation $y=-2x$ ,

$at\:\;x=0\Rightarrow y= -2(0)=0\\\\at\:\;x=1\Rightarrow y= -2(1)=-2\\\\at\:\;x=2\Rightarrow y= -2(2)=-4\\\\at\:\;x=3\Rightarrow y= -2(3)=-6\\\\at\:\;x=-1\Rightarrow y= -2(-1)=2\\\\at\:\;x=-2\Rightarrow y= -2(-2)=4\\\\at\:\;x=-3\Rightarrow y= -2(-3)=6$

The graph plotted using these points is shown in the figure,

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3 years ago