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tatiyna
3 years ago
15

What is an equation of the line in slope intercept form? m = 4 and the y-intercept is (0, 5) (1 point)?

Mathematics
2 answers:
pishuonlain [190]3 years ago
4 0
The equation for this is y= 4x+5
Lapatulllka [165]3 years ago
3 0

Answer:

y=4x+5

Step-by-step explanation:

Mathematically, the slope m of a line is:

m=\frac{\Delta y}{\Delta x} = \frac{y-y_o}{x-x_o}

Therefore, if we know the slope m of the line and a point (x_o , y_o) we will be able to find its equation simply solving for y:

y-y_o=m(x-x_o)

Replacing the data provided by the problem:

y-5=4(x-0)\\\\y-5=4x\\\\y=4x+5

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one tank is filling at a rate of 3/4 per gallon per 2/3 minute .a second tank is at a 5/8 gallon per 1 half gallon per 1/2 minut
Bingel [31]
recall\ that\implies \cfrac{\frac{a}{b}}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\qquad thus
\\ \quad \\

\cfrac{\frac{3g}{4}}{\frac{2m}{3}}\implies \cfrac{3g}{4}\cdot \cfrac{3}{2m}\implies \cfrac{\square ?}{\square ?}
\\-------------\\
\cfrac{\frac{5g}{8}}{\frac{1m}{2}}\implies \cfrac{5g}{8}\cdot \cfrac{2}{1m}\implies \cfrac{\square ?}{\square ?}

so... you tells us, which filling rate is the bigger and thus faster one?

6 0
3 years ago
(2x² - 5x-3)/ (x-3)<br> DIvide the polynomials
Anika [276]

Answer:

2x + 1

Step-by-step explanation:

\frac{(2x² - 5x-3)}{(x - 3)}

Factor out 2x² - 5x-3

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

divide x - 3 by x - 3

=> 2x + 1

<em><u>Or another step</u></em>

Step by Step Solution

STEP

1

:

Equation at the end of step 1

STEP

2

:

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

6 0
2 years ago
Can I do 50 quizzes in 2 weeks? Each takes about 5 minutes
rodikova [14]
So.
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Let's get started with formulas.
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I KNOW you hate formulas!! So do I, but we have to use them. No "buts". 
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So, how many minutes are in 2 weeks?
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Search it up. For your convenience, it is 20,160 minutes.
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Well, I think you have your answer, since each quiz is 5 minutes, 5 times 50 (5 x 50) is 2,500 minutes.
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Yes, you can do 50 quizzes and MUCH MUCH more in 2 weeks.
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Hope I helped!!
8 0
3 years ago
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alexandr1967 [171]
822 hours. 10.25x822 is $8,425.50.


6 0
3 years ago
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