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marusya05 [52]
3 years ago
14

Show that the system has no solution. x + 2y = -4 y = -1/2x - 4

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

Step-by-step explanation:

TO show that this system has no solution, use the y value in the second equation and put it in for y in the first. Then solve.

x + 2y = -4

x + 2(-1/2x - 4) = -4

x  - x - 8 = -4

-8 = -4

Because this is an incorrect statement, we can tell there is no solution.

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Antuan deposited $2590 into a 3 year CD at an interest rate of 2.3% compounded quarterly.
lora16 [44]

Answer:

the interest rate is $183.89 =~ $ 184

Step-by-step explanation:

In this question, Antuan deposited $2590 into a 3 year CD (Certificate of Deposit)  at an interest rate of 2.3% compounded quarterly. We need to find the interest account earned after 3 years.

Formula used will be :

Interest = P ( 1 + r/n) ^ n ^ t - P

Where

P= Principal amount

r= interest rate (in decimals)

n= no of times the interest is compounded

t = no of years

Here we are subtracting P because we only need interest amount and not the future value.

Using this formula and finding the value will be:

P= $2590

r = 2.3 % or 0.023

n = 4

t = 3

Interest = 2590 * ( 1 - 0.023 / 4) ^ 4^ * ^ 3 - 2590

Interest= 2590 (1.071) -2590\\Interest= 2773.89 - 2590\\Interest= 183.89

So the interest rate is $183.89 =~ $ 184

7 0
3 years ago
Lucy has scored 19 , 20 , and 29 points in her three basketball games so far. How many points does she need to score in her next
Ipatiy [6.2K]

She needs 28 points. In her previous 2 games, she got 68 points. In order to average 24 points, you need 96 points in 4 games. 96-68=28

6 0
2 years ago
Quiz
Harman [31]

Answer:

h=-6 k=-30

Step-by-step explanation:

y=x^2+12x+6

\mathrm{The\:vertex\:of\:an\:up-down\:facing\:parabola\:of\:the\:form}\:y=ax^2+bx+c\:\mathrm{is}\:x_v=-\frac{b}{2a}

a=1,\:b=12,\:c=6

x_v=-\frac{b}{2a}

x_v=-\frac{12}{2\cdot \:1}\\

x_v=-6\\

\mathrm{Plug\:in}\:\:x_v=-6\:\mathrm{to\:find\:the}\:y_v\:\mathrm{value}

y_v=\left(-6\right)^2+12\left(-6\right)+6\\y_v=-30\\\left(-6,\:-30\right)

3 0
2 years ago
Write the inequality for the linear inequality graphed below. You can
romanna [79]

Answer:

 

Step-by-step explanation:

5 0
2 years ago
15=5x+45<br><br> What is the value of x?
nordsb [41]

15 = 5x + 45

15 - 45 = 5x

-30 = 5x

-30/5 = x

-6 = x

7 0
2 years ago
Read 2 more answers
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