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4 years ago

How many solutions does this system have?

Mathematics

2 answers:

Korolek [52]4 years ago

6 0

Answer:

Option- one is correct.

The given system of equations have one solution that is (7,-21)

Step-by-step explanation:

Given system of equations are

$y=-3x\hfill (1)$

$-9x-4y=21\hfill (2)$

Now to the solution:

To solve the given system of equations using substitution method.

That is substitute equation(1) in equation (2) we get

$-9x-4(-3x)=21$ (here y=-3x)

$-9x+12x=21$

$3x=21$ (adding the like terms)

$x=\frac{21}{3}$

Therefore x=7

Now substitute x=7 in equation (1) we get

$y=-3x$

$y=-3(7)$

$y=-21$

Therefore the solution is (7,-21)

Therefore Option- one is correct.

The given system of equations have one solution that is (7,-21)

DedPeter [7]4 years ago

3 0

Answer:

One solution

Step-by-step explanation:

I took the quiz

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Jeff says the figure below is a rhombus. Is he correct? *

Pachacha [2.7K]

Answer:

yes it is

Step-by-step explanation:

it is quadrilateral

6 0

3 years ago

Read 2 more answers

7800 dollars is placed in an account with annual interest rate of 6.5. how much will be in the account after 29 years

Andru [333]

Answer:

Approx. $48,443.25, if rounding up to the hundredths place.

Step-by-step explanation:

For this problem, use the formula for compound interest:

a = p(1 + r/n)^nt

- P represent the initial amount placed in an account.

- R is the interest rate.

- N is the number of times the interest rate is compounded; If compounded once a year or annually, n would be equal to one.

- T is the amount of time.

So, based on the question, we can fill in some of the formula. "7800 dollars is placed in an account", "annual interest rate of 6.5", and "after 29 years" tell us what the variables above stand for within this problem.

I then filled in the formula (this is assuming the interest rate is 6.5%) :

a = 7800(1 + .065/1)^29

Now we solve-

1. First, solve within the parenthesis:

a = 7800(1.065^1)^29

2. Solve the exponent outside of the parenthesis:

a = 7800 * 6.21067245356

3. Multiply:

a = 48,443.245137768 or approx. $48,443.25

7 0

4 years ago

Pls helpppppp thanks!!!!!!!<br> :)

Lena [83]

Answer:

If i did this right the answer would be 69

I converted the inches to feet (might be my first mistake)

so i get 2.5 X 1 X 1 to get 2.5

i then multiply that by 62.4 to get 156

then 225-156 = 69

Step-by-step explanation:

7 0

3 years ago

Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4

fomenos

Answer:

x g(x)

1 −10

2 −12

3 −14

Step-by-step explanation:

Substitute the values and do the arithmetic.

Table values for x are 1, 2, 3. We only need to find g(1) to determine which table is the correct choice.

f(1) = 1 +4 = 5 . . . . . . . . . put 1 where x is and do the arithmetic

g(1) = -2·f(1) = -2·5 = -10 . . . . . matches the 3rd choice

6 0

3 years ago

Since the Great Recession of 2007–2009.

vaieri [72.5K]

Answer: C

The movement of the unemployment rate and inflation rate has been inconsistent with a stable Phillips Curve

Step-by-step explanation:

The Phillips curve is an economic model suggesting a negative relationship between the unemployment rate and inflation. The model, therefore, implies that a fall in unemployment should lead to an increase in inflation. However, there is a doubts among economists about whether the Phillips curve is an appropriate model to forecast inflation. The doubt is based upon the issues which presented itself during, and after, the Great Recession. During the Recession, the U.S faced a rise in the unemployment rate and according to predictions from the Phillips curve, the rise in the unemployment rate should have yielded a greater decrease in inflation. Much greater than the decrease the U.S. experienced. It

seems like the relationship between inflation and unemployment, once regarded reliable, has weakened. Researchers have been trying to understand why inflation has been behaving in this way.

6 0

3 years ago