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3 years ago

25. Write an expression to represent the area of the shaded region in simplest form.

2 answers:

5 0

Are each of these one expression together or are they all one individual expression? I need to know so I can help you out.

Ulleksa [173]3 years ago

4 0

Answer:

Step-by-step explanation:

To determine what the area of the shaded region is, simply find the area of the large rectangle and subtract the product from the smaller one.

Since they are polynomials. Multiply one binomial to the other and first obtain the product, before subtracting the product of the smaller rectangle.

(5x + 2)(3x - 1) - (x)(x + 7)

15x^2 - 5x + 6x - 2 - x^2 - 7

14x^2 + x - 9.

I believe this would be the solution in standard form.

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Write in y=mx+b form

DENIUS [597]

Step-by-step explanation:

b =-4 (y-intercept)

x =0

m = 0 (the line doesn't have a slope)

y = mx + c

y = 0(0) + (-4)

y = - 4

7 0

3 years ago

The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested. However, the

kumpel [21]

Answer:

Check the explanation

Step-by-step explanation:

Let X denotes steel ball and Y denotes diamond

$\bar{x_1}$ = 1/9( 50+57+......+51+53)

=530/9

=58.89

$\bar{x_2}$ = 1/9( 52+ 56+....+ 51+ 56)

=543/9

=60.33

difference = d =(60.33- 58.89)

=1.44

$s^2=1/n\sum xi^2 - n/(n-1)\bar{x}^2$

s12 = 1/9( 502+572+......+512+532) -9/8 (58.89)2

=31686/8 - 9/8( 3468.03)

=3960.75 - 3901.53

=59.22

s1 = 7.69

s22 = 1/9( 522+ 562+....+ 512+ 562) -9/8 (60.33)2

=33295/8 - 9/8 (3640.11)

=4161.875 - 4095.12

=66.75

s2 =8.17

sample standard deviation for difference is

s= $\sqrt{[(n1-1)s_1^2+ (n2-1)s_2^2]/(n1+n2-2)}$

= $\sqrt{[(9-1)*59.22+ (9-1)*66.75]/(9+9-2)}$

= $\sqrt{1007.76/16}$

=7.93

sd = $s*\sqrt{(1/n1)+(1/n2)}$

= $7.93*\sqrt{(1/9)+(1/9)}$

=7.93* 0.47

=3.74

For 95% confidence level $Z (\alpha /2)$ =1.96

confidence interval is

$d\pm Z(\alpha /2)*s_d$

=(1.44 - 1.96* 3.75 , 1.44+1.96* 3.75)

=(1.44 - 7.35 , 1.44 + 7.35)

=(-2.31, 8.79)

There is sufficient evidence to conclude that the two indenters produce different hardness readings.

3 0

3 years ago

I need the answers for this question.

nadya68 [22]

Answer:

Step-by-step explanation:

7 0

3 years ago

(5x-25)+(3x+9)=180 please answer right now

jok3333 [9.3K]

Answer:

$x=24.5\\$

Step-by-step explanation:

So we have the equation:

$(5x-25)+(3x+9)+180$

Combine like terms:

$(5x+3x)+(-25+9)=180$

Add:

$8x-16=180$

Add 16 to both sides:

$8x=196$

Divide both sides by 8:

$x=24.5\\$

So, our answer is 24.5 :)

6 0

3 years ago

The hulk ran down wall street towards east to catch the villain. The villain was 3000 meters and it took the hulk 30 seconds to

anyanavicka [17]

Answer:

$\large \boxed{\text{100 m/s east}}$

Step-by-step explanation:

Velocity has both magnitude and direction.

The magnitude is the speed.

$\begin{array}{rcl}\text{Speed} & = & \dfrac{\text{distance}}{\text{time}}\\\\& = & \dfrac{\text{3000 m}}{\text{30 s}}\\\\& = & \textbf{100 m/s}\\\end{array}\\\text{ The velocity is $\large \boxed{\textbf{100 m/s east}}$}$

6 0

3 years ago

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