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ira [324]
3 years ago
15

Standard Form:

Mathematics
1 answer:
Maksim231197 [3]3 years ago
3 0

Answer:

y = (1/2)x - 3

Step-by-step explanation:

slope-intercept form: y =mx + b

m - slope,

b - y - intercept.

m = 1/2

b= - 3

y = (1/2)x - 3

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Find a • b. <br><br> a = 4i + 3j, b = -4i + 4j
sveta [45]
Hello,

I suppose a and b are vectors
and i and j unit's vectors

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\vec{a}\ .\  \vec{b}=(4\vec{i}\ +3 \vec{j}).(-4\vec{i}\ +4 \vec{j})\\&#10;=-16-3*4*0+4*4*0+12=-4
5 0
4 years ago
Helen and Rebecca baked some muffins in the ratio 2:5. After Helen baked another 12 muffins, the ratio become 1:2. How many muff
storchak [24]
<h3>Answer:  60 muffins</h3>

=========================================================

Explanation:

x = some positive whole number

2x = amount Helen baked initially

5x = amount Rebecca baked initially

Notice that the ratio 2x:5x reduces to 2:5 after dividing both parts by x.

So (2x)/(5x) = 2/5

Helen then bakes another 12 muffins, bumping the 2x up to 2x+12. The ratio is now 1:2, which means,

(amount Helen bakes)/(amount Rebecca bakes) = 1/2

(2x+12)/(5x) = 1/2

2(2x+12) = 5x*1 .... cross multiply

4x+24 = 5x

24 = 5x-4x

24 = x

x = 24

From here, we then can say,

  • Helen = 2x+12 = 2*24+12 = 48+12 = 60
  • Rebecca = 5x = 5*24 = 120

Helen baked 60 muffins and Rebecca baked 120 muffins. We see that 60:120 reduces to 1:2 after dividing both parts by the GCF 60.

Furthermore, note how

  • 2x = 2*24 = 48
  • 5x = 5*24 = 120
  • 48:120 reduces to 2:5 after dividing both parts by 24

This helps confirm we have the correct answer.

6 0
3 years ago
Please help me solve x by simplifying both sides of the equation then isolating the variable! Show work. I’ll give brainliest!
Delvig [45]

Answer:

x=-24

This is your answer

Step-by-step explanation:

-8+\frac{5}{6}x=-28\\\mathrm{Add\:}8\mathrm{\:to\:both\:sides}\\-8+\frac{5}{6}x+8=-28+8\\Simplify\\\frac{5}{6}x=-20\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{-120}{5}\\\mathrm{Simplify\:}\frac{5x}{5}\\\mathrm{Divide\:the\:numbers:}\:\frac{5}{5}=1\\=x

\mathrm{Simplify\:}\frac{-120}{5}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{120}{5}\\\mathrm{Divide\:the\:numbers:}\:\frac{120}{5}=24\\=-24\\x=-24

hope this helps :)

8 0
3 years ago
A plain flies x mph. How far can it go in y hours
Juli2301 [7.4K]
It can go (x)mph=Ym i hoped this helped and please make me brainiest.

7 0
4 years ago
How would ypu read 0.103
zubka84 [21]
Well, the first place behind the decimal place is tenths, and the second is hundredths, and the third is thousandths, so it would be three thousandths and one tenth
7 0
3 years ago
Read 2 more answers
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