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bazaltina [42]
3 years ago
9

What is the result of subtracting the second equation from the first?

Mathematics
1 answer:
saul85 [17]3 years ago
7 0

Answer:

11x-8y=-9

Step-by-step explanation:

we have

8x-4y = -4 ----> First equation

-3x+4y=5 ----> Second equation

we know that

To subtract the 2nd equation from the first, negate all three of the second equation terms:  3x-4y=-5

and then adds this result with the first equation

8x-4y = -4\\3x-4y=-5\\-------\\8x+3x-4y-4y=-4-5\\11x-8y=-9

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Which point is the vertex of the quadratic function f(x) = x^2-6+8?
Free_Kalibri [48]

Answer:

Step-by-step explanation:

f(x)= x^2 - 6x + 8

a of s= 6/2 = 3

(3)^2 - 6(3) + 8

9 - 18 + 8

-9 + 8 = -1

(3, -1)

answer is B

7 0
3 years ago
the brain volumes ​(​) of 50 brains vary from a low of to a high of . use the range rule of thumb to estimate the standard devia
Sloan [31]

The estimated standard deviation from the range rule is 145.5 cm3.As it is 29.8 cm3 smaller than the exact standard deviation, we consider that the estimation is not accurate enough.

Generally, brain volumes which are smaller than 921.1 cm3 can be considered significantly low and bigger than 1417.5 cm3 can be considered significantly high. Hence, brain volume of 1457.5 cm3 is bigger than the expected maximum, so it can be considered significantly high.

The calculation goes like this,

According to the range rule, the standard deviation and range, or the distance between the maximum and smallest value, are roughly inversely proportional:

s=R/4

If we have a sample of 50 brains volumes, and they range from 910 cm3 to 1492 cm3, we can estimate the standard deviation as:

s=max-min/4

s=1492-910/4=582/4=145.5

The exact standard deviation is 175.3 cm3.The difference is 175.3-145.5=29.8 cm3, so the estimation is not accurate enough.

The range rule of thumb states that we should anticipate a maximum value that is approximately two standard deviations above the mean and a lowest value that is approximately two standard deviations below the mean. The expected ranges are as follows given our mean volume of 1169.3 cm3 and standard deviation of 124.1 cm3:

Min= M-2s=1169.3-2*124.1=921.1

Max=M+2s=1169.3+2*124.1=1417.5

The brain capacity of 1457.5 cm3 can be regarded as significantly high because it is higher than the predicted maximum.

To know about standard deviation click here :

brainly.com/question/23907081

#SPJ4

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1 year ago
What is the angle measure of an arc bounding sector with an area of 5pie square miles?
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if the diameter is 20, the its radius must be half that or 10.

\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=5\pi \\ r=10 \end{cases}\implies \begin{array}{llll} 5\pi =\cfrac{\theta \pi (10)^2}{360}\implies 5\pi =\cfrac{5\pi \theta }{18} \\\\\\ \cfrac{5\pi }{5\pi }=\cfrac{\theta }{18}\implies 1=\cfrac{\theta }{18}\implies 18=\theta \end{array}

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2 years ago
Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square increasing when the area of the
abruzzese [7]
The area of the square is increasing at the rate of 36(3/2)^(1/2).btw,i forget to add ^2 to `cm`

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3 years ago
I’ll mark as BRANLIEST!!<br><br> 30 POINTS!!
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