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BabaBlast [244]
3 years ago
8

Can anyone help me with this?

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
3 0

Answer:  16y² - x²

Step-by-step explanation:  The - sign means a difference, so the choices with + signs are eliminated (though 64x² and 9 are squares)

10 is not a square so that one is eliminated (though the y² and the 4x² are squares)

16 is the square of 4, y² is the square of y, and x² is the square. That expression shows a difference of squares.

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Amira is painting a rectangular banner 2 1/4 yards wide in the cafeteria. The banner will have a blue background. Amira has enou
Dominik [7]

we know that

the area of the rectangular banner is equal to

A=W*h

where

W is the wide of the banner

h is the height of the banner

in this problem

W=2\frac{1}{4} \ yards=\frac{(4*2+1)}{4} =\frac{9}{4} \ yards

A=1\frac{1}{2} \ yards^{2} =\frac{(1*2+1)}{2} =\frac{3}{2} \ yards^{2}

In the formula of the area solve for h

A=W*h\\ \\ h=\frac{A}{W}

Substitute the values of W and A

h=\frac{\frac{3}{2}}{\frac{9}{4}}  \\ \\ h=\frac{2}{3} \ yards

therefore

the answer is

the height of the banner is \frac{2}{3} \ yards

4 0
3 years ago
Read 2 more answers
The expression LaTeX: -5t^2+40t
dlinn [17]

Answer:

8 seconds

Step-by-step explanation:

Given

h = - 5t² + 40t

When the object hits the ground then h = 0

Substitute h = 0 into the function and solve for t

- 5t² + 40t = 0 ← factor out - 5t from each term

- 5t(t - 8) = 0

Equate each factor to zero and solve for t

- 5t = 0 ⇒ t = 0

t - 8 = 0 ⇒ t = 8

t= 0 denotes the time of launch

t = 8 denotes the time it hits the ground

7 0
3 years ago
Write the equation of the line with slope = -3 and passes through (2,7)
andriy [413]

Answer:

Step-by-step explanation:

y - 7 = -3(x - 2)

y - 7 = -3x + 6

y = -3x + 13

6 0
3 years ago
Assumptions of a regression model can be evaluated by plotting and analyzing the ____________
Gala2k [10]

The assumptions of a regression model can be evaluated by plotting and analyzing the error terms.

Important assumptions in regression model analysis are

  1. There should be a linear and additive relationship between dependent (response) variable and independent (predictor) variable(s).
  2. There should be no correlation between the residual (error) terms. Absence of this phenomenon is known as auto correlation.
  3. The independent variables should not be correlated. Absence of this phenomenon is known as multi col-linearity.
  4. The error terms must have constant variance. This phenomenon is known as homoskedasticity. The presence of non-constant variance is referred to heteroskedasticity.
  5. The error terms must be normally distributed.

Hence we can conclude that the assumptions of a regression model can be evaluated by plotting and analyzing the error terms.

Learn more about regression model here

brainly.com/question/15408346

#SPJ4

4 0
2 years ago
PLZ HELP QUICK-------------->
sveticcg [70]
<h2>>>> Answer <<<</h2>

Let's check which polynomial is divisible by ( x - 1 ) using hit , trial and error method .

A ( x ) = 3x³ + 2x² - x

The word " divisible " itself says that " it is a factor "

Using factor theorem ;

Let;

=> x - 1 = 0

=> x = 1

Substitute the value of x in p ( x )

p ( 1 ) =

3 ( 1 )³ + 2 ( 1 )² - 1

3 ( 1 ) + 2 ( 1 ) - 1

3 + 2 - 1

5 - 1

4

This implies ;

A ( x ) is not divisible by ( x - 1 )

Similarly,

B ( x ) = 5x³ - 4x² - x

B ( 1 ) =

5 ( 1 )³ - 4 ( 1 )² - 1

5 ( 1 ) - 4 ( 1 ) - 1

5 - 4 - 1

5 - 5

0

This implies ;

B ( x ) is divisible by ( x - 1 )

Similarly,

C ( x ) = 2x³ - 3x² + 2x - 1

C ( 1 ) =

2 ( 1 )³ - 3 ( 1 )² + 2 ( 1 ) - 1

2 ( 1 ) - 3 ( 1 ) + 2 - 1

2 - 3 + 2 - 1

4 - 4

0

This implies ;

C ( x ) is divisible by ( x - 1 )

Similarly,

D ( x ) = x³ + 2x² + 3x + 2

D ( 1 ) =

( 1 )³ + 2 ( 1 )² + 3 ( 1 ) + 2

1 + 2 + 3 + 2

8

This implies ;

D ( x ) is not divisible by ( x - 1 )

<h2>Therefore ; </h2>

<h3>B ( x ) & C ( x ) are divisible by ( x - 1 ) </h3>
6 0
3 years ago
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