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masha68 [24]
2 years ago
7

What is the y-intercept of the function f(x) = –f(x) equals negative StartFraction 2 Over 9 EndFraction x plus StartFraction 1 O

ver 3 EndFraction.x + ?
–negative StartFraction 2 Over 9 EndFraction.
–negative StartFraction 1 Over 3 EndFraction.
StartFraction 1 Over 3 EndFraction.
StartFraction 2 Over 9 EndFraction.
Mathematics
2 answers:
satela [25.4K]2 years ago
6 0

Answer:

It is C

Step-by-step explanation:

lora16 [44]2 years ago
3 0

Answer: Third option

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

Given the function f(x):

f(x)=-\frac{2}{9}x+\frac{1}{3}

Since f(x)=y, you can rewrite it:

y=-\frac{2}{9}x+\frac{1}{3}

You can identify that:

m=-\frac{2}{9}\\\\b=\frac{1}{3}

Therefore, you can determine that the y-intercept of the given function is:

b=\frac{1}{3}

Observe that this matches with the third option.

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Sheldon is creating a graph to represent the trip he takes from his home to his favorite clothing store. In his graph, one unit
juin [17]

Answer:

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Step-by-step explanation:

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8 0
1 year ago
The volume inside of a sphere is V=4πr33 where r is the radius of the sphere. Your group has been asked to rearrange the formula
Semmy [17]

Answer:

Therefore,

r=\sqrt[3]{\frac{3V}{4\pi }}

is the required r

Step-by-step explanation:

Given:

Volume of inside of the sphere is given as

V=\frac{4}{3} \pi r^{3}

where r is the radius of the sphere

To Find:

r =?

Solution:

We have

V=\frac{4}{3} \pi r^{3}   ......Given

3\times V=4\pi r^{3} \\\\\therefore r^{3}=\frac{3V}{4\pi } \\\\\therefore r=\sqrt[3]{\frac{3V}{4\pi }} \textrm{which is the expression for r}

Therefore,

r=\sqrt[3]{\frac{3V}{4\pi }}

is the required r

5 0
1 year ago
a garden plot is to contain 240 sq. ft. if its length is to be 3 times its width,what should its dimensions be?
Nastasia [14]
W^2=80
W SQRT80
W=8.94 ANS.FOR THE WIDTH
L=3*8.94=26.83 ANS.FOR THE LENGTH
PROOF:
240=8.94*26.83
240=240

3 0
1 year ago
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th
Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

(a)

The bid should be greater than $10,000 to get accepted by the seller. Let bid x be a continuous random variable that is uniformly distributed between

$10,000 and $15,000

The interval of the accepted bidding is [ {\rm{\$ 10,000 , \$ 15,000}], where b = $15000 and a = $10000.

The interval of the provided bidding is [$10,000,$12,000]. The probability is calculated as,

\begin{array}{c}\\P\left( {X{\rm{ < 12,000}}} \right){\rm{ = }}1 - P\left( {X > 12000} \right)\\\\ = 1 - \int\limits_{12000}^{15000} {\frac{1}{{15000 - 10000}}} dx\\\\ = 1 - \int\limits_{12000}^{15000} {\frac{1}{{5000}}} dx\\\\ = 1 - \frac{1}{{5000}}\left[ x \right]_{12000}^{15000}\\\end{array}

=1- \frac{[15000-12000]}{5000}\\\\=1-0.6\\\\=0.4

(b)  The interval of the accepted bidding is [$10,000,$15,000], where b = $15,000 and a =$10,000. The interval of the given bidding is [$10,000,$14,000].

\begin{array}{c}\\P\left( {X{\rm{ < 14,000}}} \right){\rm{ = }}1 - P\left( {X > 14000} \right)\\\\ = 1 - \int\limits_{14000}^{15000} {\frac{1}{{15000 - 10000}}} dx\\\\ = 1 - \int\limits_{14000}^{15000} {\frac{1}{{5000}}} dx\\\\ = 1 - \frac{1}{{5000}}\left[ x \right]_{14000}^{15000}\\\end{array} P(X14000)

=1- \frac{[15000-14000]}{5000}\\\\=1-0.2\\\\=0.8

(c)

The amount that the customer bid to maximize the probability that the customer is getting the property is calculated as,  

The interval of the accepted bidding is [$10,000,$15,000],

where b = $15,000 and a = $10,000. The interval of the given bidding is [$10,000,$15,000].

\begin{array}{c}\\f\left( {X = {\rm{15,000}}} \right){\rm{ = }}\frac{{{\rm{15000}} - {\rm{10000}}}}{{{\rm{15000}} - {\rm{10000}}}}\\\\{\rm{ = }}\frac{{{\rm{5000}}}}{{{\rm{5000}}}}\\\\{\rm{ = 1}}\\\end{array}

(d)  The amount that the customer bid to maximize the probability that the customer is getting the property is $15,000, set by the seller. Another customer is willing to buy the property at $16,000.The bidding less than $16,000 getting considered as the minimum amount to get the property is $10,000.

The bidding amount less than $16,000 considered by the customers as the minimum amount to get the property is $10,000, and greater than $16,000 will depend on how useful the property is for the customer.

5 0
1 year ago
Jerry goes to the bank and borrows $9,000 for farm equipment. The simple yearly interest is 9.5% and he pays off the loan over a
creativ13 [48]
To solve this problem you must appply the formula for simple interest, which is:
 
 I = RxPxN
 
 I: Simple Interest.
 R:Rate (9.5$/100=0.095/12).
 P: The principal (P=$9000).
 N:number of periods (N=24).
 
 When you substitute these values into the formula, you obtain:
 
 I=RxPxN
 I=(0.095/12)x9000x24
 I=$1710
 
 Therefore, the monthly payment is:
 
 $1710/24=$71.25
 
 What is Jerry's monthly payment?
 
 The answer is: Jerry's monthly payment is $71.25

4 0
1 year ago
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