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Monica [59]
2 years ago
7

24. Find the area of the shaded region:

Mathematics
2 answers:
Monica [59]2 years ago
7 0

Answer:

A = 5x³ + 17x² - 35x - 30

Step-by-step explanation:

the shaded area (A) is calculated as

A = outer area - inner area

   = (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis

   = 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)

  = 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms

  = 5x³ + 17x² - 35x - 30

Fudgin [204]2 years ago
3 0

Answer:

5x^3+ 17x^2- 35x-30 Or x=-4.63 or 1.9

Step-by-step explanation:

Area of rectangle =L×B

for smaller rectangle :

after applying the formula, the equation becomes:

6x^2 - 3x

For bigger rectangle:

Applying the same formula, the equation becomes:

5x^3+ 23x^2- 38x- 30

Area of shaded region =

Area of bigger rectangle- Area of smaller rectangle

= 5x^3+17x^2 -35x-30

going further solving the above equation

Area of shaded region: -4.96 or 1.9

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ivann1987 [24]
For this case the first thing we must observe is that the mass increases 0.4 grams when the diameter increases 1 millimeter.
 Therefore, the slope of the line is given by:
 m = 0.4
 Thus, the function that best suits the table is given by:
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 For example, for x = 20 we have:
 f (20) = -4 + 0.4 (20)
 f (20) = -4 + 8
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 Answer:
 The function that is best represented by the scatter plot is: 
 f (x) = -4 + 0.4x
6 0
3 years ago
Read 2 more answers
Solve 7x2(x + 1) = 6x + 14<br> Ox=-12<br> Ox = 12<br> Ox= -16<br> Ox = 16
Evgen [1.6K]

\large\displaystyle\text{$\begin{gathered}\sf 7x-2(x+1)=6x+4 \end{gathered}$}

Use the distributive property to multiply −2 by x+1.

  • \large\displaystyle\text{$\begin{gathered}\sf 7x-2x-2=6x+14 \end{gathered}$}

Combine 7x and −2x to get 5x.

  • \large\displaystyle\text{$\begin{gathered}\sf 5x-2=6x+14 \end{gathered}$}

Subtract 6x on both sides.

  • \large\displaystyle\text{$\begin{gathered}\sf 5x-2-6x=14 \end{gathered}$}

Combine 5x and −6x to get −x.

  • \large\displaystyle\text{$\begin{gathered}\sf -x-2=14 \end{gathered}$}

Add 2 to both sides.

  • \large\displaystyle\text{$\begin{gathered}\sf -x=14+2 \end{gathered}$}

Add 14 and 2 to get 16.

  • \large\displaystyle\text{$\begin{gathered}\sf -x=16 \end{gathered}$}

Multiply both sides by −1.

  • \large\displaystyle\text{$\begin{gathered}\sf x=-16 \ \ \to \ \ \ Answer \end{gathered}$}

<h2>{ Pisces04 }</h2>
3 0
2 years ago
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Carnival T charges an entrance fee of $7.00 and $0.50 per ticket for the rides. Carnival Q charges an entree fee of $12.00 and $
FrozenT [24]

Answer:

$30

Step-by-step explanation:

Calculation for the tickets that must be purchased for Carnival T and Carnival Q to be the same

Based on the information given let x be the number of ticket to be purchased .

Carnival T entrance fee= $7.00

Ride= $0.50 per ticket

Carnival Q entree fee =12.00

Ride= $0.25 per ticket

Tickets=$7.00 + ($0.50* x) = $12.00 + ($0.25* x)

.25 x = 5.00

Hence:

x=$.25+$5.00

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Therefore the amount of tickets that must be purchased in order for the total cost at Carnival T and Carnival Q to be the same will be $30

3 0
3 years ago
I need help with this equation please!<br><br> 15- w/4 = 28
Luda [366]

Answer:

w= -52

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand  

15-w/4=28

Simplifying:

15-0.25w=28

We move all terms containing w to the left and all other terms to the right.  

-0.25w=+28-15

We simplify left and right side of the equation.  

-0.25w=+13

We divide both sides of the equation by -0.25 to get w.  

w= -52

Hope it Helps :) !!

8 0
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Round 6254 correct to 1 signature figure
Marizza181 [45]

Answer:

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Step-by-step explanation:

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  3. 6×10 3×

7 0
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