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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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According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will
dsp73

Answer: 0.31

Step-by-step explanation:

Let A denotes the event of Tampa Bay Buccaneers will score a touchdown on their opening drive and B denote the event that their defense will have 3 or more sacks in the game.

Given : P(A)=0.14     P(B) = 0.31     P(A or B)=0.14

Formula : P(A and B)= P(A) + P(B) - P(A or B)

Now, the probability that they will both score a touchdown on the opening drive and have 3 or more sacks in the game will be :-

P(A and B)= 0.14 + 0.31 - 0.14=0.31

Hence, the required probability : 0.31

7 0
2 years ago
Solve 5/3x + 1/3x = 13 1/3 + 8/3x then identify x.
belka [17]

After solving \frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x we get value of x = -20

Step-by-step explanation:

We need to solve the fractions and find value of x.

The given fraction is:

\frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x

Solving:

\frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x\\\frac{5}{3}x+\frac{1}{3}x=\frac{40}{3}+\frac{8}{3}x\\ Subtract\,\,\frac{8}{3}x\,\,on\,\,both\,\,sides:\\ \frac{5}{3}x+\frac{1}{3}x-\frac{8}{3}x=\frac{40}{3}+\frac{8}{3}x-\frac{8}{3}x\\Simplifying:\\ \frac{5x+1x-8x}{3}=\frac{40}{3}\\ \frac{-2x}{3}=\frac{40}{3}\\Multiply\,\,both\,\,sides\,\,by\,\,3\\-2x=40\\x=\frac{40}{-2}\\x=-20

So, After solving \frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x we get value of x = -20

Keywords: Solving fractions

Learn more about Solving fractions at:

  • brainly.com/question/2456302
  • brainly.com/question/1648978
  • brainly.com/question/13168205

#learnwithBrainly

3 0
2 years ago
I increase a number by 24% the answer is 6014 what number did I start with
miskamm [114]

Answer:

1443.36

Step-by-step explanation:

6014*.24=1443.36

Hope it helps

8 0
1 year ago
Omar and Caleb each had a repair made on their cars. The initial cost of each repair is $1,000. Omar and
nataly862011 [7]

Answer:

Caleb paid less than Omar by $12.

Step-by-step explanation:

The initial cost of each repair is $1,000.

One  coupon is for $80 off the repair cost. The other coupon is for 15% off the repair cost.

Case 1:

Omar uses the $80 off the repair cost coupon first. He then uses the 15% off the repair cost coupon on  the remaining balance.

Step 1: 1000-80=920

Step 2: 920-(0.15\times920)=782 dollars

Case 2:

Caleb uses the 15% off the repair cost coupon first. He then uses the $80 off the repair cost coupon on  the remaining balance.

Step 1: 1000-(0.15\times1000)=850

Step 2: 850-80=770 dollars

Now, comparing the values we can see that Caleb paid less.

He paid less by 782-770=12 dollars.

8 0
2 years ago
The course length of the Boston Marathon is about 4.2×104 meters. The course length of the Iditarod Trail Invitational ultra-mar
GREYUIT [131]

Answer:

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

Step-by-step explanation:

Let

x -----> the length of the Boston Marathon in meters

y -----> the  length of the Idita rod Trail Invitational ultra-marathon in meters

we have

x=4.2*10^4\ m

y=1.6*10^6\ m

we know that

To find out how many times as long is the course of the Idita rod Trail ultra-marathon as that of the Boston Marathon, divide the length of the Idita rod Trail Invitational ultra-marathon by the length of the  Boston Marathon

so

\frac{y}{x}

\frac{x}{y}=\frac{1.6*10^6}{4.2*10^4}

Remember that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents

\frac{1.6*10^6}{4.2*10^4}=\frac{1.6}{4.2}*(10^{6-4})=0.381*(10^{2})=38.1

therefore

The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.

5 0
2 years ago
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