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NISA [10]
3 years ago
7

I need help With what the answer is

Mathematics
1 answer:
Marina CMI [18]3 years ago
7 0

Answer:

OPTION C: y = 2x² + 1

Step-by-step explanation:

To identify the function substitute the values of 'x' and 'y' and compare LHS and RHS.

OPTION A: y = -(5x + 1)

When x = -2, y = 9

Therefore, LHS = 9

RHS = -(5(-2) + 1) = -(-10 + 1) = 9

So, LHS = RHS.

Now, we check for the second pair. i.e., (x, y) = (-1, 3)

LHS = 3

RHS = -(-5 + 1) = -(-4) = 4

LHS $ \ne $ RHS

So, this option is eliminated.

OPTION B: y = - 4x + 1

Like OPTION A, substitute x = -2 and y = 9.

LHS = 9

RHS = - 4(-2) + 1 = 9

LHS = RHS

Now for the second pair: (-1, 3)

LHS = 3

RHS = -4(-1) + 1 = 4 + 1 = 5

We see LHS $ \ne $ RHS.

So, this option is eliminated as well.

OPTION C: y = 2x² + 1

Substituting the first pair: (-2, 9)

LHS = 9

RHS = 2(4) + 1 = 9

So, LHS = RHS

Now For the second pair: (-1, 3)

We have LHS = 3

RHS = 2(1) + 1 = 3

LHS = RHS.

The third pair: (0, 1)

LHS = 1

RHS = 2(0) + 1 = 1

For the pair: (1, 3)

LHS = 3

RHS = 2(1) + 1 = 3

Again, LHS = RHS

For the pair: (2, 9)

LHS = 9

RHS = 2(4) + 1 = 9

Since, for all the pairs we have LHS and RHS equal, we con conclude that this is the correct representation of our function.

Similarly, substitute OPTION D. The option can be eliminated in the second pair itself.

So, the answer is OPTION C.

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sukhopar [10]

Answer:

4  (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is  (9 x + 11).

Step-by-step explanation:

Here, given The perimeter of the square  = (36 x+44)

Now,as we know :

PERIMETER OF SQUARE = 4 x ( SIDES)

Simplifying the perimeter expression.

Take 4 common out of the expression (36 x+44), we get:

(36 x+44) =  4 (9 x + 11)

⇒ Perimeter of the square  =  4 x  (9 x + 11)

⇒4 x ( SIDES) = 4 x (9 x + 11)

⇒ Each Side = (9 x + 11)

Hence, 4 x (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is  (9 x + 11).

5 0
3 years ago
5.7kg in grams convert
dimaraw [331]

Answer:

5700 grams

Step-by-step explanation:

1 kg = 1000 grams

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hope it helps!

5 0
3 years ago
In a study, researchers wanted to measure the effect of alcohol in the development of the hippocampal region in adolescents. The
lbvjy [14]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Sample size, n = 30

Tcritical value = 2.045

Null hypothesis :

H0: μ = 9.08

Alternative hypothesis :

H1: μ≠ 9.08

Sample mean, m = 8.25

Samole standard deviation, s = 1.67

Test statistic : (m - μ) ÷ s/sqrt(n)

Test statistic : (8.25 - 9.08) ÷ 1.67/sqrt(30)

Test statistic : - 0.83 ÷ 0.3048988

Test statistic : - 2.722

Tstatistic = - 2.722

Decision region :

Reject Null ; if

Tstatistic < Tcritical

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-2.722 < - 2.045 ; We reject the Null

Using the α - level (confidence interval) 0.05

The Pvalue for the data from Tstatistic calculator:

df = n - 1 =. 30 - 1 = 29

Pvalue = 0.0108

Reject H0 if :

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4 0
2 years ago
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,
Romashka-Z-Leto [24]

Answer:

radius   x  = 3 ft

height   h = 23,8  ft

Step-by-step explanation:

From problem statement

V(t)  = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c)  = π*x²*h       area of cylinder = area of base + lateral area

                                              A(c)  = π*x²  +   2*π*x*h

V(h) = (2/3)*π*x³   area of hemisphere   A(h)  =   (2/3)*π*x²

A(t)  =  π*x²  +   2*π*x*h +   (2/3)*π*x²

Now A as fuction of x    

total volume   505  = π*x²*h  +  (2/3)*π*x³

h = [505 - (2/3)* π*x³ ]  /2* π*x    

Now we have the expression for A as function of x

A(x) =  3π*x² + 2π*x*h     A(x) = 3π*x² + 505  - (2/3)π*x³

Taking derivatives both sides

A´(x) =  6πx -  2πx²              A´(x) =  0         6x  - 2x²  = 0

x₁  =  0  we dismiss

6 - 2x = 0

x = 3     and   h = [505 - (2/3)* π*x³]/2* π*x

h  =  (505 - 18.84) / 6.28*3

h  = 23,8  ft

7 0
3 years ago
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stealth61 [152]
No because 5/10 is half but 1/6 is not
5 0
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