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kap26 [50]
3 years ago
8

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

t to x from the first equation is substituted into the second equation. x + 4y = −9 2x + 5y = −6
2x + 5(4y − 9) = −6 2x + 5(−4y − 9) = −6 2(4y − 9) + 5y = −6 2(−4y − 9) + 5y = −6
Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

The new equation after the expression equivalent to x from the first equation is substituted into the second equation is: 2(-4y-9)+5y=-6

Step-by-step explanation:

We will solve the initial steps for substitution method for finding the correct answer

Given equations are:

x+4y = -9\ \  \ \ Eqn1\\2x+5y=-6\ \ \ Eqn2

From equation one

x+4y = -9\\x+4y-4y = -9-4y\\x = -4y-9

Putting x = -4y-9 in equation 2

2(-4y-9)+5y=-6

Hence,

The new equation after the expression equivalent to x from the first equation is substituted into the second equation is: 2(-4y-9)+5y=-6

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/726990
  • brainly.com/question/725998

#LearnwithBrainly

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7. A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. What is the effective
Elina [12.6K]

Answer:

The effective interest rate, rounded to the nearest tenth, is 0.1%.

Step-by-step explanation:

The banker's rule is the simple interest formula.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly) and t is the time, in years.

The effective interest rate is given by the following formula:

E_{IR} = \frac{E}{P}.

In this problem, we have that:

A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. We consider that the year has 360 days. This means that P = 6200, I = 0.0884, t = \frac{40}{360} = \frac{1}{9}.

So

E = 6200*0.0884*\frac{1}{9} = 60.9

The effective interest rate is

E_{IR} = \frac{E}{P} = \frac{60.9}{6200} = 0.0098 = 0.001

The effective interest rate, rounded to the nearest tenth, is 0.1%.

8 0
3 years ago
35. Explain the difference between the reciprocal of x^2
Scorpion4ik [409]

Answer:

As you can see, the difference between the reciprocal of x^2 and the inverse of   x^2 is that \frac{1}{x^2} =x^{-2} and \sqrt{x} =x^{\frac{1}{2}.

Step-by-step explanation:

First lets find both the reciprocal of x^2 and the inverse of

Recall that the reciprocal of a value is where you take a fraction and swap the places of the terms. In the case of x^2, 1 is the denominator, so

\frac{x^2}{1} =\frac{1}{x^2}

To find the inverse of a function, you first need swap the locations of x and y in the equation

y=x^2\\\\x=y^2

Now, you need to solve for y

y^2=x\\\\y=\sqrt{x}

Now, lets rewrite each of these to better compare them

\frac{1}{x^2} =x^{-2}\\\\\sqrt{x} =x^{\frac{1}{2}

As you can see, the difference between the reciprocal of x^2 and the inverse of

7 0
2 years ago
The stem-and-leaf plot shows the ages of people at a family reunion.
klio [65]

Answer:

1) 11

2) 4

Step-by-step explanation:

1) It is 11 because in the first row we ignore the 0 since it is referring to the first digit, so the first row has 7. In the second row, we ignore the one so it would be 4 because the 9, or would be 19, is above 18.

2) It is 4 because there is one person over 65. In the second row we ignore the 7 and there are 3 people in the 7 row.

5 0
2 years ago
7-0.3×&gt;4<br>solve for x​
Troyanec [42]

Answer:

x<10

Step-by-step explanation:

Add '-7' to each side of the equation.

7 + -7 + -0.3x = 4 + -7

Combine like terms: 7 + -7 = 0

0 + -0.3x = 4 + -7

-0.3x = 4 + -7

Combine like terms: 4 + -7 = -3

-0.3x = -3

Divide each side by '-0.3'.

x = 10

Simplifying

x = 10

4 0
3 years ago
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Monica [59]

Answer:

x=14.02

Step-by-step explanation:

Use b=\sqrt{c^2-a^2} to solve for the missing side in the triangle. You will get a rounded answer of 8.49. Then you multiply that by 2 and subtract that value from 31. Then that will be your answer.

5 0
2 years ago
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