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Vanyuwa [196]
3 years ago
12

Which equation shows the line with m = 6 and Y - intercept = -3,

Mathematics
1 answer:
anzhelika [568]3 years ago
7 0

Answer:

y = 6x - 3

Step-by-step explanation:

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The area of a rectangle is w^2+4w=60 where w is the width. find the width.
Svetradugi [14.3K]

The width of rectangle is 6.

Step-by-step explanation:

Given,

Area of rectangle; w²+4w=60

As w is the width, we will solve the equation to find w.

w^2+4w=60

Subtracting 60 from both sides

w^2+4w-60=0

Factorizing the equation;

w^2+10w-6w-60=0\\w(w+10)-6(w+10)=0\\(w+10)(w-6)=0

Either,

w+10=0         => w=-10

Or,

w-6=0           =>w=6

As width cannot be negative, therefore

Width = 6

The width of rectangle is 6.

Keywords: area, rectangle

Learn more about area at:

  • brainly.com/question/1349456
  • brainly.com/question/1357167

#LearnwithBrainly

6 0
3 years ago
A person invests $2,740 in an account that earns 4.3% annual interest. Find when the value of the investment reaches $7,000. If
Juli2301 [7.4K]

So, to set up your equation is the hardest part. If you remember the basic format, you're set.

I(t) = P * (1+r%)^t

t= time and this will be our variable

Initial amount P = $2740

Rate = 4.3% which converts numerically into .043

I(t) = 7000

Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.


I(t) = $2740(1+4.3%)^t

I(t)=2740(1.043)^t

Now plug in for $7000 for I(t)

7000=2740(1.043)^t                 Divide both sides by 2740

7000/2740 = 2740/2740(1.043)^t

2.55474453=(1.043)^t

Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.

In your calculator you can set up:

ln(2.55474453)/ln(1.043) = t                 which is the method I prefer since it's much simpler

t=22.278528

but you can also graph it in your ti-84

with

y1=2.55474453

y2=(1.043)^x

and find where they intersect on the graph.

either way it'll be the same answer

3 0
2 years ago
What is the domain and range of the set of ordered pairs?​
Delvig [45]

Answer:

D) would be the answer

Step-by-step explanation:

Domain is always the set of x-coordinates in the pairs and the range is always the set of y-coordinates in the pairs.

D: 7, -2, 4, -9, 0

R: 3, -2, 1, 0, 7

Put them in order from least to greatest.

D: -9, -2, 0, 4, 7

R: -2, 0, 1, 3, 7

5 0
2 years ago
What is Australia constitution​
Daniel [21]

Answer :

The Australian Constitution is the set of rules by which Australia is run. It came into effect on 1 January 1901. This fact sheet summarises the key features of the Constitution and how it can be changed. Commonwealth of Australia Constitution Act, 1900: Original Public Record Copy (1900).

7 0
2 years ago
Juan was given a gift card for a coffee shop. Each morning, Juan uses the card to buy one cup of coffee. Each cup of coffee cost
Black_prince [1.1K]

Answer:

A=30-2x

Step-by-step explanation:

Cost of one cup of coffee=$2

The original amount of money on the gift card= $30

Juan's expenses in buying coffee, after x morning are \$2\times x.

The amount of money left, A, on the card = (Original amount) - (Total expenses)

A=30-2x

Hence, the equation for, A, the amount of money remaining on the card is

A=30-2x.

7 0
3 years ago
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