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3 years ago

Please need help ASAP!!!

Mathematics

1 answer:

Anarel [89]3 years ago

4 0

The range of a function is the value of y where it is defined
Note the coordinates of the 3 points:

A(-2,0)
B(2,4)
C(3,-3)
As described the range (values of y) are 0,4 & -3
Hence Range ={ y ∈ -3 ≤ y ≤ 4}

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Please help<br><br>numbers 42, 43, 44

Aleks [24]

<h3>Answer:</h3>

42. 29°

43. 3x³ +2x² -3x +10

44. 20a² +68a

<h3>Step-by-step explanation:</h3>

42. The right-angle corner tells you the two marked angles are complementary — they sum to 90°.

(-3x +20)° + (-2x +55)° = 90°

-5x +75 = 90 . . . . . . . . . . collect terms, divide by °

-5x = 15 . . . . . . . . . . . . . . . subtract 75

x = -3 . . . . . divide by the coefficient of x

The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...

(-3·(-3) +20)° = 29° = m∠BDC

___

43. The distributive property is useful for multiplying polynomials.

(x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)

= 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses

= 3x³ +2x² -3x +10

___

44. Area is the product of length and width, so this becomes a problem in multiplying polynomials.

area = (5a +17)(4a) = 20a² +68a . . . . area in square feet

3 0

3 years ago

The 13-foot string is arranged into a rectangle. Let L denote the length of the rectangle,

soldi70 [24.7K]

The expressions for the width, W, and area, A, of the rectangle in terms of L are:

W = $\frac{13}{2}$ - L
A = $\frac{13L - L^{2} }{2}$

The expression for the perimeter of a rectangle is given as:

P = 2(L + W)

where L is its length and W its width

a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

$\frac{13}{2}$ = L + W

So that;

W = $\frac{13}{2}$ - L

The required formula for the width as a function of L is: W = $\frac{13}{2}$ - L

b. Area of a rectangle can be expressed as;

A = L * W

substitute the expression for width in that of area to have

A = L * ( $\frac{13}{2}$ - L)

= $\frac{13}{2}$ L - $L^{2}$

A = $\frac{13L - L^{2} }{2}$

The expression for the area A is: A = $\frac{13L - L^{2} }{2}$

Visit: brainly.com/question/10452031

5 0

2 years ago

While walking between gates at an airport, you notice a child running along a moving walkway. Estimating that the child runs at

tekilochka [14]

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

<h3>How to estimate the speed of the moving walkway relative to the airport terminal?</h3>

Let x be the speed of the walkway.

(2.8 + x) = speed of child moving in direction of the walkway

(2.8 - x) = speed of child moving against the direction of the walkway

Travel time = distance/speed

Travel time of child moving in direction of walkway = 23/(2.8+x)

Total elapsed time given = 29s

23/(2.8 + x)+ 23 / (2.8-x) = 29

LCD = (2.8 + x)(2.8 - x)

$23(2.8 - x) + 23(2.8 + x) = 29(2.8 + x)(2.8 -x)$

simplifying the equation, we get

$23*2.8-23x+23*2.8+23x=29(2.8^2-x^2)$

$23(2.8+2.8)/29=2.8^2-x^2$

$x^2=(2.8)^2-(23*5.6)/29)=3.4$

$x=\sqrt{3.4}=1.84m/s$

Speed of walkway = 1.84 m/s

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

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4 0

1 year ago

What is the length of the missing side , x? 22, 11, x

yulyashka [42]

Answer:

Step-by-step explanation:

I say 33, because of the 11 times table

4 0

2 years ago

Amber has 5/2 pounds of salt dough for a project. she writes this equation to show 5/2. 5/2= 5×1/2

Alona [7]

If you would like to know whether or not what she wrote is accurate, it is.

Hope that helps!

3 0

3 years ago