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3 years ago

What is the y-intercept in the equation y=45x+65

Mathematics

2 answers:

brilliants [131]3 years ago

7 0

65 is the y-intercept

goldenfox [79]3 years ago

5 0

Answer:

Step-by-step explanation:

hello

The linear function is defined by the equation f (x) = mx + b or y = mx + b called the canonical equation, where m is the slope of the line and b is the intercept with the Y axis

step 1

compare the equations

y=45x +54 and y=mx+b

we can deduce

m=45 and b=65

b is the intercept with y axis

so intercept is 65

step 2

additionally we can check it by doing x = 0, when x = 0 is when the line intercepts the y axis

y(0)=intercept

Y(0)=45(0)+65

y(0)=65= intercept

so intercept is 65

Have a great day.

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Area is whatever 125x150 equals

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kodGreya [7K]

Step-by-step explanation:if you like it press thank you ❤❤❤

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x=2+3y 4(2+3y) + 7y= -9

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8+12y + 7y= -9

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8+12y+14y = -9

8+12y+14y= -18

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3 years ago

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3 years ago

Mark has $6.35 in quarters and dimes. He has 5 more than twice as many dimes as quarters. How many quarters does Mark have?

sukhopar [10]

Answer:

Mark has 12 quarters

Step-by-step explanation:

I did all of it, nickles, dimes, and of course, quarters..

So, Let +n+ = the number of nickels he has

Let +d+ = the number of dimes he has

Let +q+ = the number of quarters he has

given:

(1) +q+=+2n+

(2) +d+=+n+%2B+3+

(3) +5n+%2B+10d+%2B+25q+=+420+

( the units for this equation is cents , for instance,

$4.20 is 420 cents

All you have to do is substitute (1) and (2) into (3)

so that the only variable is +n+, then solve

(3) +5n+%2B+10%2A%28+n+%2B+3+%29+%2B+25%2A%282n%29+=+420+

(3) +5n+%2B+10n+%2B+30+%2B+50n+=+420+

(3) +65n+%2B+30+=+420+

Subtract +30+ from both sides

(3) +65n+=+390+

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And since

(2) +d+=+n+%2B+3+

(2) +d+=+6+%2B+3+

(2) +d+=+9+

Also, since

(1) +q+=+2n+

(1) +q+=+2%2A6+

(1) +q+=+12+

: Mark has 6 nickels, 9 dimes, and 12 quarters

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3 years ago

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Aleksandr-060686 [28]

Hi there! :)

Answer:

1,800 mg of codeine is needed to prepare 120 mL of a cough syrup with a codeine concentration of 15 mg/mL.

Step-by-step explanation:

The concentration of codeine in the cough syrup is 15mg/ml, which means that for 1 mL of the cough syrup there is 15mg of codeine.

You want to know how much codeine there would be in 120mL of cough syrup.

In order to answer your question, you'll need to use the cross product method:

1 mL → 15 mg

120 mL → X mg

(15 × 120) ÷ 1 = X mg

1,800 ÷ 1 = X mg

1,800 = X mg

There you go! I really hope this helped, if there's anything just let me know! :)

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3 years ago