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3 years ago

Systems of linear equations iready quiz

Mathematics

1 answer:

saw5 [17]3 years ago

7 0

Answer:

<h2>One solution.</h2>

Step-by-step explanation:

The given question is

<em>Does the following system have One Solution, No Solution, or Infinite Solutions. </em>

<em />

To solve this system, we just need to multiply the first equation by -1, and then sum those equations.

$-y = -4x - 8\\y = -5x + 3$

$0=-9x-5\\5=-9x\\x=-\frac{5}{9}$

Then, we use this value to find the other one

$y=4x+8\\y=4(-\frac{5}{9} )+8\\y=-\frac{20}{9}+8\\y =\frac{-20+72}{9} \\y=\frac{52}{9}$

As you can observe, the system of equations have a unique solution.

Therefore, the answer is one solution.

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3. Gavin deposited $1500 into his savings account that is compounded quarterly at an interest rate of 1.5%. How much money will

wolverine [178]

Answer:

$\$1,616.60$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=5\ years\\ P=\$1,500\\ r=1.5\%=1.5/100=0.015\\n=4$

substitute in the formula above

$A=1,500(1+\frac{0.015}{4})^{4*5}$

$A=1,500(1.00375)^{20}$

$A=\$1,616.60$

7 0

3 years ago

Read 2 more answers

HELP NOW PLEASE is say for each pair of angle in parts A thought D estimate the measure of each angle.

Mice21 [21]

Answer: A: V is an acute angle, so it is less than 90 degrees. I would say it's around 45 degrees.

B: K is also an acute angle, but it is fairly close to being 90 degrees, so I'd say around 80 degrees.

C: Q is an obtuse angle, so it is over 90 degrees but less than 180 degrees. I would say it's around 110 degrees.

D: Y is an obtuse angle. It is very close to 180 degrees. I would say it's around 160 degrees.

Step-by-step explanation:

3 0

3 years ago

A representative sample of a population of middle school students contains 45 boys and 25 girls. From this sample, 27 and 15 gir

lorasvet [3.4K]

$\frac{15}{70} = \frac{?}{350}$
$15 \times 350 \div 70 = 75$

8 0

3 years ago

Read 2 more answers

You are given a geometric sequence where a1 = 4 the common ratio is 6. Find the fifth term.

saw5 [17]

So given the formula 4 is going to be your first term 6 is the number you are multiplying/dividing! So 4x6 24 or -24

4 0

3 years ago

Please help<br> if x = 3 and y=-4 find x2 + y2 and x2 -y2

lions [1.4K]

1. Plug in the 3 in all the x’s that are in the equation:

(3)2 + y2 = for x2 + y2

(3)2 - y2 = for x2 - y2

This would get you for both equations..

6 + y2 = for x2 + y2

6 - y2 = for x2 - y2

2. Now let’s plug in the value of y which is -4:

6 + (-4)2 = for x2 + y2

6 - (-4)2 = for x2 + y2

This would get you for both equations...

-2 = x2 + y2

14 = x2 - y2

Hope this helped, have an awesome day!

6 0

3 years ago