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2 years ago

Find (fog)(x) and (gof)(x) f(x) = 8x-5, g(x) = 10 - 2xhelp please

Mathematics

1 answer:

igomit [66]2 years ago

8 0

Answer:

$(fog)(x) = f( \: g(x) \: ) \\ = 8(10 - 2x) - 5 \\ = 80 - 16x - 5 \\ = - 16x + 75$

$(gof)(x) = g( \: f(x) \: ) \\ = 10 - 2(8x - 5) \\ = 10 - 16x + 10 \\ = - 16x + 20$

I hope I helped you^_^

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Three students have started a fence-painting business. Working together, Pragnesh and Qazi can paint the fence in 2 hours. Simil

vlada-n [284]

Answer: 55.4 mins

Step-by-step explanation:

pragnesh and qazi = 2hrs

pragnesh and roghui = 3hrs

qazi and roghui = 4hrs

this means for every 1 hour they wold paint.

pragnesh and qazi = $\frac{1}{2}$ half of the fence

pragnesh and roghui = $\frac{1}{3}$

qazi and roghui = $\frac{1}{4}$ quarter of the fence

time taken when they all work together

= $\frac{1}{2}$ + $\frac{1}{3}$ + $\frac{1}{4}$

= $\frac{13}{12}$

= $\frac{12}{13}$

= 0.9231 × 60(mins)

= 55.4 mins

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2 years ago

Niko uses 12 marshmellows and 8 gram crackers to make 4 smorse how many will he need to make 3

maxonik [38]

He will need 36 Marshmellows And 24 Gram Crackers to make 12 Smorse :)

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3 years ago

80% of Vanessa's final grade is based on the average score of her quizzes, which is 73.

Misha Larkins [42]

80% of quizzes + 20% of final = final grade

80% * 73 + 20% * x = 70

0.8 * 73 + 0.2x = 70

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3 years ago

Will give brainiest Find the equation of the straight line parallel to the y-axis and passes through the point (-2, 3). _____

IrinaVladis [17]

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Step-by-step explanation:

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2 years ago

You are applying for an 80/20 mortgage to buy a house costing $145,000. The first (80%) mortgage has an interest rate of 4.75%,

babymother [125]

Answer:

$291,016.80

A is correct.

Step-by-step explanation:

You are applying for an 80/20 mortgage to buy a house costing $145,000.

Loan Formula:

$EMI=\dfrac{P\cdot r}{1-(1+r)^{-n}}$

Case 1:

Loan amount, P = 80% of 145000 = $ 116,000

Rate of interest, r = 4.75% = 0.0475

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

$EMI=\dfrac{116000\cdot \frac{0.0475}{12}}{1-(1+\frac{0.0475}{12})^{-360}}$

$EMI=605.11$

Total payment for case 1: 605.11 x 360 = $217,839.60

Case 2:

Loan amount, P = 20% of 145000 = $ 29,000

Rate of interest, r = 4.75% = 0.07525

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

$EMI=\dfrac{29000\cdot \frac{0.07525}{12}}{1-(1+\frac{0.07525}{12})^{-360}}$

$EMI=203.27$

Total payment for case 1: 203.27 x 360 = $73,177.20

Total amount of the mortgage = $217,839.60 + $73,177.20

= $291,016.80

Hence, The total amount of the mortgage is $291,016.80

3 0

2 years ago

Find (fog)(x) and (gof)(x) f(x) = 8x-5, g(x) = 10 - 2xhelp please ​

Find (fog)(x) and (gof)(x) f(x) = 8x-5, g(x) = 10 - 2xhelp please