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eimsori [14]
3 years ago
13

Find the x and y intercepts of the graph of the equation 1. 3x-4y=24 2. -6x+3y=12

Mathematics
1 answer:
deff fn [24]3 years ago
7 0

Answer:

Step-by-step explanation:

Recall the intercept form of the line

x/a + y/b = 1

has intercepts at (1,0) and (0,b)

#1. Divide by 24 to get x/8 + y/-6 = 1

The intercepts are at (8,0) and (0,-6)

#2 Divide by 12

x/-2 + y/4 = 1

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Jennifer went to the post office for stamps. She bought the same number of 8-cent stamps and 10-cent stamps. She also bought as
mamaluj [8]
Write it out as a set of equation:
Let x be number of 8 cent stamps, y be 10 cent stamps, and z be 2 cent stamps.
x=y
z=x+y
8x+10y+2z=440
Lets first solve for x:
from x=y and z=2x(from first equation) the last equation is
8x+10x+4x=440
22x=440
x=20
know that x=20, you also know that y=20 as well, since z=x+y, z=40.
So 20 8-cent stamps, 20 10-cent stamps, and 40 2-cent stamps.
5 0
3 years ago
Read 2 more answers
How do you write -4 1/5 as an improper fraction
jekas [21]
-21/5

Multiply 4 and 5, add 1
4 0
3 years ago
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If 2x − 4(x + 1) = −12, evaluate x2 − 1.
Vlad [161]
2x-4(x+1)=-13
1) we solve this equation:
2x-4(x+1)=-12
2x-4x-4=-12
-2x=-12+4
-2x=-8
x=-8/-2
x=4

2) we evalute x²-1
x²-1=4²-1=16-1=15

Answer: 15
6 0
3 years ago
Simplify <br>it was x there so u not confused​
Mariulka [41]

Step-by-step explanation:

here's the solution: -

=》

\frac{x {}^{6} }{ {x}^{4} }  \times  {x}^{2}

=》

\frac{x \times x \times x \times x \times x \times x}{x  \times x \times x\times \: x }  \times x \times x

=》

x \times x \times x \times x

=》

{x}^{4}

5 0
2 years ago
For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b
dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by H = 1,500e^{0.053t} where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute H=4,000 in our given formula and solve for t as:

4,000= 1,500e^{0.053t}

\frac{4,000}{1,500}=\frac{ 1,500e^{0.053t}}{1,500}

\frac{8}{3}=e^{0.053t}

e^{0.053t}=\frac{8}{3}

Take natural log of both sides:

\text{ln}(e^{0.053t})=\text{ln}(\frac{8}{3})

0.053t\cdot \text{ln}(e)=\text{ln}(\frac{8}{3})

0.053t\cdot (1)=0.9808292530117262

\frac{0.053t}{0.053}=\frac{0.9808292530117262}{0.053}

t=18.506212320

So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

2000+18.5=2018.5

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.

7 0
3 years ago
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