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Mazyrski [523]
3 years ago
15

HELLPPPPPPP NO LINKSSS

Mathematics
1 answer:
REY [17]3 years ago
3 0

Answer:

(-3, 18) ; (-1, 6)

Step-by-step explanation:

y = x^2-2x + 3

y = -6x

-6x = x^2 - 2x + 3

x^2 + 4x + 3 = 0

(x+3)(x+1) = 0

x = -3

x = -1

Solution 1

x= -1

y = 6

Solution 2

x= -3

y = 18

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Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from rene
OverLord2011 [107]

Answer: (0.9460\ ,\ 0.9500)

Step-by-step explanation:

Given : Population mean : \mu=0.9480

Standard deviation : \sigma=0.0060

Sample size : n=35

Significance level : \alpha=1-0.95=0.05

Critical value = z_{\alpha/2}=\pm1.96

The confidence interval for sample mean is given by :-

\mu\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

i.e. 0.9480\pm (1.96)\dfrac{0.0060}{\sqrt{35}}

\approx0.9480\pm0.0020=(0.9480-0.0020\ ,\ 0.9480+0.0020)\\\\=(0.9460\ ,\ 0.9500)

Hence, the required interval=  (0.9460\ ,\ 0.9500)

4 0
3 years ago
Work out the volume of this prism.
aniked [119]

Answer:

Volume = 175 cm³

Step-by-step explanation:

We can picture this image as a whole rectangular prism, with a part that has been cut out of it.

Step 1: Volume of original prism

We are going to solve the volume of the original prism, with the dimensions of 9, 7, and 5

  • V = 9 * 7 * 5
  • V = 315

Step 2: Volume of part cut out

We are solving the volume of that part that has been cut out ( missing space)

  • V = 5 * (9-2) * (7-3)
  • V = 5 * 7 * 4
  • V = 140

Step 3: Total Volume

Now we just subtract the cutout part from the original volume

  • 315 - 140
  • V = 175

Volume = 175 cm³

Note, we could have also found the volume by splitting this shape into two prisms with dimensions (9 * 3 * 5) and (4 * 5 * 2). This way would also get us:

  • V = (9 * 3 * 5) + (4 * 5 * 2)
  • V = 135 + 40
  • V = 175

-Chetan K

7 0
2 years ago
What is the zero of g(x)=-x-7?<br> A. 7<br> B. 4<br> C. -7<br> D. 3
blsea [12.9K]

Answer:

I think it's A. 7

Step-by-step explanation:

4 0
3 years ago
If r is the remainder when the positive integer n is divided by 7, what is the value of r?
VashaNatasha [74]

Answer:

Step-by-step explanation:

Given that When n is divided by 21, the remainder is an odd number.

i.e. n=21m+k where m is an integer and k a positive integer <21

When n is divided by 28, the remainder is 3

n=28c+3, where c is a positive integer

This can be written as

n=4(7c)+3\\n=7(4c)+3

Since n is giving odd remainder when divided by 21,

we get r =3 as n is a multiple of 7 +3

7 0
3 years ago
The amount of gasoline remaining in the tank decreases with mileage driven. Identify the independent and dependent quantity in t
Soloha48 [4]
In the given sentence, 'The amount of gasoline remaining in the tank decreases with mileage driven' is the <em>mileage driven. </em>On the other hand, the dependent quantity in the given situation would be <em>the amount of gasoline. </em>This is because the amount of gasoline depends on the mileage driven. 
3 0
3 years ago
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