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3 years ago

What is the best first step to write this linear equation in slope-intercept form?

Mathematics

1 answer:

attashe74 [19]3 years ago

6 0

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx+b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the statement we have the following equation:

$y- \frac {2} {3} x = 4$

To write the equation of the slope-intersection form we must add $\frac {2} {3} x$ to both sides of the equation:

$y- \frac {2} {3} x +\frac {2} {3} x = \frac {2} {3} x+4\\y = \frac {2} {3} x+4$

Answer:

The correct option is option C

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Mrs. Garcia is making bread using a total of 400 grams of gluten-free flour. The recipe calls

goldfiish [28.3K]

Answer:

280 grams of almond flour.

Step-by-step explanation:

She needs 70% of the flour to be almond flour

70/100*400 = 280

7 0

3 years ago

1/3log125/8-2log2/5+log80/125

morpeh [17]

Answer:

$3log2$

Step-by-step explanation:

Given

$\frac{1}{3} log( \frac{125}{8} ) - 2 log( \frac{2}{5} ) + log( \frac{80}{125} )$

Required

Solve

Apply logarithm rules

$log( \frac{125^{\frac{1}{3}}}{8^{\frac{1}{3}}} )- log( \frac{2^2}{5^2} ) + log( \frac{80}{125} )$

$log( \frac{5}{2}} )- log( \frac{4}{25} ) + log( \frac{80}{125} )$

Apply quotient rule

$log( \frac{5}{2} / \frac{4}{25} ) + log( \frac{80}{125} )$

$log( \frac{5}{2} * \frac{25}{4} ) + log( \frac{80}{125} )$

$log( \frac{100}{8} ) + log( \frac{80}{125} )$

Apply product rule

$log( \frac{100*80}{8*125} )$

$log( \frac{8000}{1000} )$

$log(8)$

Express 8 as 2^3

$log(2^3)$

$3log2$

8 0

2 years ago

1 : What postulate or theorem can be used to prove △PQR ~ △STU ??

Alika [10]

Answer:

#1 is the AA postulate

Step-by-step explanation:

It is the AA postulate because both triangles have congruent angles, making the triangles similar.

6 0

3 years ago

Kellie brought 8 towels and spent $39.60. each towel costs the same amount. write and equation that can be used to determine t,

Luda [366]

Since each towel costs the same amount, you need to divide the total cost by the amount purchased. t = $39.60/8 towels. Solved, your answer would be t = $4.95 per towel.

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2 years ago

A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. His

Mkey [24]

Answer:

0.143.

Step-by-step explanation:

The first step to take in answering this question is to take or determine the probability in each cases, multiply and sum them up. Therefore, let us delve right into the solution of this problem;

[a]. Historical data indicates that 20% of all potential purchasers select a day visit. Thus, the probability that potential purchasers selects a day visit = 0.20.

[b]. Historical data indicates that 50% choose a one-night visit. Thus, the probability that potential purchasers selects a one-night visit= 0.50.

[c]. Historical data indicates that 30% of all potential purchasers opt for a two-night visit. Thus, the probability that potential purchasers opt for a two-night visit = 0.30.

[d].Historical data indicates that 10% of day visitors ultimately make a purchase. Thus, the probability that a day visitors ultimately make a purchase = 0.1.

[e]. The probability for 40% of one-night visitors buy a unit =0.4

[f]. The probability for 40% of two nights decide to buy =0.4.

STEP ONE: Determine the probability that the visitor makes a purchase.

The probability that the visitor makes a purchase = [a] × [d] + [b] × [e] + [c] × [f]. = 0.2 × 0.1 + 0.5 × 0.4 + 0.3 × 0.4 = 0.02 + 0.02 + 0.12 = 0.14.

STEP TWO: Determine How likely is it that this person made a day visit.

0.2 × 0.1/ 0.14 = 0.1428571428571429

5 0

3 years ago