Help! write the function for the given graph

if the lenght of a rectangle is (2x - 8) cm and the with is (x - 2) cm and the perimeter is 84 cm what is the value of the lengt

Oxana [17]

Answer:

Step-by-step explanation:

Perimeter = 84 cm

2*(length + width) = 84

2* (2x - 8 + x - 2) = 84

2*(2x + x - 8 - 2) = 84 {bring like terms together}

2*(3x - 10) = 84 {add/ subtract like terms}

Divide both sides by 2

$\frac{2*(3x-10)}{2}=\frac{84}{2}\\\\$

3x - 10 = 42

3x - 10 +10 = 42 + 10 {add 10 to both sides}

3x = 52

Divide by 3,

$\frac{3x}{3}=\frac{52}{3}\\$

x= 17 1/3

Length = 2x - 8

$=2*\frac{52}{3}-8\\\\=\frac{104}{3}-\frac{8*3}{1*3}\\\\=\frac{104}{3}-\frac{24}{3}\\\\=\frac{104-24}{3}\\\\=\frac{80}{3}\\\\=26\frac{2}{3}$

6 0

4 years ago

As a salesperson at Roaring Waves Beach Supplies, Carissa receives a monthly base pay plus commission on all that she sells. If

Pani-rosa [81]

Base pay + (rate * sales) = total pay

b + r(400) = 388
b + r(700) = 454

b = 388 - 400r
now sub into 2nd equation
388 - 400r + 700r = 454
-400r + 700r = 454 - 388
300r = 66
r = 66/300
r = 0.22...22% is the rate

substitute for r
b + 400r = 388
b + 400(0.22) = 388
b + 88 = 388
b = 388 - 88
b = 300

so ur equation is : y = 0.22x + 300
y = 0.22(2600) + 300
y = 572 + 300
y = 872......so her salary when selling $2600 worth of stuff is $872

6 0

3 years ago

Find the range of f(x) = –x + 4 for the domain {–3, –2, –1, 1}.

marishachu [46]

Answer:

$\boxed{ \{7, 6, 5, 3 \} }$

Step-by-step explanation:

The domain is all possible values for x.

The range is all possible values for f(x) or y.

The domain given is {-3, -2, -1, 1}.

Plug x as {-3, -2, -1, 1} and find the f(x) or y values.

$f(-3)=-(-3)+4=7\\f(-2)=-(-2)+4=6\\f(-1)=-(-1)+4=5\\f(1)=-(1)+4=3$

The range is {7, 6, 5, 3}, when the domain is {-3, -2, -1, 1}.

5 0

3 years ago

Solve for (0,2π] 2cos ß * sin ß = cos ß

Temka [501]

Given :

An equation, 2cos ß sin ß = cos ß .

To Find :

The value for above equation in (0, 2π ] .

Solution :

Now, 2cos ß sin ß = cos ß

2 sin ß = 1

sin ß = 1/2

We know, sin ß = sin (π/6) or sin ß = sin (5π/6) in ( 0, 2π ] .

Therefore,

$\beta = \dfrac{\pi}{6}\ or\ \beta = \dfrac{5\pi}{6}$

Hence, this is the required solution.

4 0

3 years ago

Newborn males have weights with a mean of 3272.8 g and a standard deviation of 660.2 g. Newborn females have weights with a mean

Maksim231197 [3]

The correct option is: a female who weighs 1500 g

Explanation

Formula for finding the z-score is: $z= \frac{X-\mu}{\sigma}$

Newborn males have weights with a mean $(\mu)$ of 3272.8 g and a standard deviation $(\sigma)$ of 660.2 g.

So, the z-score for the newborn male who weighs 1500 g will be.......

$z(X=1500)=\frac{1500-3272.8}{660.2}=-2.685... \approx -2.69$

According to the normal distribution table, $P(z=-2.69)=0.0036 = 0.36\%$

Now, newborn females have weights with a mean $(\mu)$ of 3037.1 g and a standard deviation $(\sigma)$ of 706.3 g.

So, the z-score for the newborn female who weighs 1500 g will be.......

$z(X=1500)=\frac{1500-3037.1}{706.3}=-2.176... \approx -2.18$

According to the normal distribution table, $P(z=-2.18)=0.0146 = 1.46\%$

As we can see that the probability that a newborn female has weight of 1500 g is greater than newborn male, so a newborn female has the weight of 1500 g that is more extreme relative to the group from which he came.

5 0

3 years ago