Solve each system of equations by graphing y=-1/2x+5 and y=3x-2

Answers

Answer 1

Answer: just make the equations equal to each other. -0.5x+5=3x-2. Solve for x and find that it is 2, via simple algebra. Since you know x is 2, sub it in in either equation to find y. y should be 4. So the point that fits both equation is (2,4). This shows that the two graphs of these lines will intersect at this exact point.

If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.

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How much would $100 invested at 8% interest compounded continuously be worth after 15 years?

Answers

The correct formula to use for continuous compounding is:
$A=Pe^(rt)$
where the exponential number e is the base of natural logarithms.
$A=100* e^{(0.08*15)=332.01$
So the amount after 15 years is $332.01

Answer:

$332.01 is correct via a p e x

Step-by-step explanation:

-\dfrac{1}{6} \times \left(-\dfrac{9}{7}\right)− 6 1 ×(− 7 9 )minus, start fraction, 1, divided by, 6, end fraction, times, left parenthesis, minus, start fraction, 9, divided by, 7, end fraction, right parenthesis

Answers

Answer:

$(3)/(14)$

Step-by-step explanation:

The even number of minus signs means the product will be positive. A factor of 3 can be removed to simplify the product. As usual, the numerator of the product is the product of numerators, and the denominator of the product is the product of denominators.

$-(1)/(6) * \left(-(9)/(7)\right)=(1\cdot 9)/(6\cdot 7)=(3\cdot 3)/(3\cdot 14)=\boxed{(3)/(14)}$

The answer to the expression $-(1)/(6) * \left(-(9)/(7)\right) - (1)/(6) * \left(-(9)/(7)\right)$ is 0.

In this expression, we have two terms that are identical: $-(1)/(6) * \left(-(9)/(7)\right)\) and \(-(1)/(6) * \left(-(9)/(7)\right)$ .

When we multiply a negative number by another negative number, the result is positive.

So, both of these terms become positive, and since they are identical, when we subtract one from the other, we get zero.

Now, let's provide a more detailed explanation.

When we multiply $-(1)/(6)\) by \(-(9)/(7)$ , we first multiply the numerators to get 9 and the denominators to get 42.

So, $-(1)/(6) * \left(-(9)/(7)\right) = (9)/(42)$ .

Now, we can simplify $(9)/(42)$ by dividing both the numerator and denominator by their greatest common divisor, which is 3.

So, $(9)/(42)$ simplifies to $(3)/(14)$ .

Therefore, the expression becomes $(3)/(14) - (3)/(14)$ , and when we subtract these two identical fractions, the result is indeed 0.

for such more questions on expression

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Can someone please help me, this is my last question I have been stuck on it for 30 minThe work of a student to solve a set of equations is shown:

Equation A: y = 15 − 2z
Equation B: 2y = 3 − 4z

Step 1: −2(y) = −2(15 − 2z) [Equation A is multiplied by −2.]
2y = 3 − 4z [Equation B]
Step 2: −2y = 15 − 2z [Equation A in Step 1 is simplified.]
2y = 3 − 4z [Equation B]
Step 3: 0 = 18 − 6z [Equations in Step 2 are added.]
Step 4: 6z = 18
Step 5: z = 3

In which step did the student first make an error?
Step1
Step 2
Step 3
Step 4

Answers

step 2
he didn't distribute
what he did:
-2(15-2z)=15-2z
that is obviously false

what should have happened is
-2(15-2z)=-30+4z
then add

-2y=-30+4z
2y=4-4z
0=-26
false
no solution
inconsitient, these lines ar paralell

anyway, step 2 is error

The mistake was made in step 2. In simplifying the equation, he has to distribute the -2 through the parentheses. Step 2 simplification should be

-2y = -30 + 4z

When the 2 equations are added, the resultant equation is 0 = -27 therefore it has no solution.

Write the improper fraction 33/10 as a mixed number

Answers

the answer is 3 3/10

hope this helps

Answer = 3 3/10

there’s 33 take away the ones that go to ten.

10 10 and 10 is 30. Therefore it’s 3 and 3/10

Use pi=3 calculate the length of a cicumference of a circle with a radius of 5cm

Answers

circumference=2pir
r=5
pi=3
circumference=(2)(3)(5)
circumfernce=6(5)
circufmerence=30

answer is 30cm

daniel is buhying a video game that costs 52.99. the sales tax is found by multiplying the cost of the video game by 0.07. how much is the sales tax for the video game? what is the total cost, including tax?

Answers

Answer:

sales tax for video games:

52.99*0.07=3.7093

total cost, including tax?

52.99+3.7093=56.6993=56.7

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