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soldier1979 [14.2K]
3 years ago
11

Graph the system of equations. {2x - y =4 {x - y = -2

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0

Answer:

See attachment

Step-by-step explanation:

The given system is

2x-y=4

x-y=-2

We write the system in slope-intercept form:

y=2x-4

y=x+2

The first equation has slope of 2 and y-intercept at (0,-4)

When y=0, x=2.

We plot (0,-4) and (2,0) to graph this first equation.

The second equation has a slope of 1 and a y-intercept at (0,2)

Also when y=0, x=-2.

We plot (0,2) and (-2,0) and draw a straight line through them.

The graph of the system is shown in the attachment.

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Please HURRY ASAP answer all and I will give you brainliest !!!
Molodets [167]

Answer:

A i think

Step-by-step explanation:

8 0
3 years ago
Frank is lending $1,000 to Sarah for two years. Frank and Sarah agree that Frank should earn a real return of 4 percent per year
Montano1993 [528]

Answer:

nominal rate of interest is 31.7 %

Step-by-step explanation:

given data

payment = $1000

time = 2 year

rate = 4%

CPI = 100

CPI final yer = 127.7

to find out

nominal rate of interest

solution

we know nominal rate of interest formula that is

nominal rate of interest = real interest rate + inflation rate    .........1

so here inflation rate is express as

inflation rate = ( CPI final year - CPI )  / CPI  × 100    ...........2

put here value

inflation rate = ( 127.7 - 100 )  / 100  × 100

inflation rate is 27.7 %

so from equation 1

nominal rate of interest = real interest rate + inflation rate

nominal rate of interest = 4% + 27.7%

nominal rate of interest is 31.7 %

7 0
3 years ago
Tina says that 3.4 x 105 is greater than 8.25 x 104. Is she correct? Justify your answer.
Anna71 [15]

Answer:

No, Tina is not correct since 3.4 × 105 = 357 and 8.25 × 104 = 858

6 0
3 years ago
Read 2 more answers
Let f(x) = 3 * sqrt(x) + 7. Define g$to be the inverse of f.
aliina [53]

By using the definition of inverse functions, we will see that:

g(g(f(f(f(36))))) = f(36) = 25.

<h3>What are inverse functions?</h3>

Two functions f(x) and g(x) are inverses if:

f( g(x) ) = x

g( f(x) ) = x

Then we can rewrite:

g(g(f(f(f(36)))))

First, we can see that:

g(f(f(f(36)))) = f(f(36))

Replacing that in our expression, we get:

g(g(f(f(f36))))) = g(f(f(36)))

And the above expression is equal to f(36), to be sure of that, let's replace:

u = f(36)

Then we can rewrite:

g(f(f(36))) = g(f(u))

And by definition, the above thing is equal to u:

g(f(u)) = u = f(36).

Finally, we conclude that:

g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25

If you want to learn more about inverse functions, you can read:

brainly.com/question/12220962

4 0
2 years ago
A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet f
Pie

Answer:

78.5°

Step-by-step explanation:

We solve for the above question, using the formula for the Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

Adjacent = The distance between the house and the base of the ladder = 4 feet

Hypotenuse = Length of the Ladder = 20 feet

Hence,

cos θ = 4/20

θ = arc cos(4/20)

θ = 78.463040967°

Approximately = 78.5°

Therefore, the angle that the ladder makes with the ground is 78.5°

6 0
2 years ago
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