MATHEMATICS HIGH SCHOOL

Michael's checking account balance was $345. Michael withdrew $160 three times. What is his balance now?

Answers

Answer 1

Answer: 345-(160*3)= -135

Michael has negative 135 dollars in his account.

Answer 2

Answer:

Answer:

The answer is -135

Step-by-step explanation:

We can do 160 times 3 which is 480 for the 3 times he withdrew $160 from his total. (Withdraw means taking, so subtraction).

Then, we do 480 minus 354 which is -135.

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If f(x) = x3 – 2x2, which expression is equivalent to f(i)? A) –2 + i
b) –2 – i
c) 2 + i
d) 2 – i

Answers

Answer

d) 2 – i

Explanation

f(x) = x³ – 2x²

When x = i, we proceed as follows.

Note: i =

i² =(√-1)(√-1) = -1

i³ = (√-1)(√-1)(√-1) = -1(√-1) = -1i = -i

f(x) = x³ – 2x²

f(i) = i³ – 2i²

= -i – 2(-1)

= -i + 2

= 2 – i

Answer:

f(i)=2-i

d is the correct option.

Step-by-step explanation:

The given function is $f(x)=x^3-2x^2$

Substitute x = i, to find f(i)

$f(i)=i^3-2(i)^2$

We can rewrite this as

$f(i)=i^2\cdot i-2(i)^2$

Now, we know that $i^2=-1$ . Thus, we have

$f(i)=(-1)\cdot i-2(-1)$

On simplifying, we get

$f(i)=-i+2\n\nf(i)=2-i$

d is the correct option.

What Is 17/4 [fraction] as a mixed or a whole number please answer

Answers

so lets see the biggest counting number that has a factor of four, yet is less than 17 so
16 is divisible by 4 and less than 17 so
16/4 +1/4=17/4
16/4=4 so
4 and 1/4
1/4=.25 so
4.25

So, (as apologiabiology's brother)

We find out how many whole 4's would fit in 17. We get 4 4's with a remainder of 1.

So, 17/4 = 4 1/4 (four and one-fourth)

P.S. 17/4 cannot be written as a whole number without fractions.

4. Write an explicit formula for the sequence 6,2, -2, -6, -10.... Then find the 12th term

Answers

Answer:

-38

Step-by-step explanation:

general formula

a + (n-1)(d)

formula for this question

6 + (n-1)(-4)

find d

2-6=-2-2

-4=-4

d=-4

a=6 d=-4

12th term

T12= 6+(12-1)(-4)

= 6 + (-44)

=-38

hope this helps :)

What is the product of 0.9 and 6?

Answers

5.4
9*6 is 54 so 0.9*6 is 5.4

5.4 is your answer hop that helps

Solve equation using square root property
X2-8X+16=1

Answers

x^2-8x+16=1\\ \\x^2-8x+16-1=0\\ \\x^2-8x+15=0\\ \\\Delta = b^{2}-4ac = (-8)^{2}-4*1*15=64-60=4 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{8- \sqrt{4}}{2}=\frac{8-2}{2}= \frac{6}{2}=3\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{8+ \sqrt{4}}{2}=\frac{8+2}{2}= \frac{10}{2}=5\\ \\Answer : x=3 \ \ or \ \ x = 5

Lisa’s school requires each student to earn 75 hours of community service each year. Lisa has already earned 27 hours. She plans to earn the remainder of her hours by volunteering at a nursing home. If Lisa spends 2 hours at the nursing home per visit, which equation represents the number of visits, v, that Lisa will need to make to fulfill her community service requirement?

Answers

Answer:

Step-by-step explanation:

2v+27=75

2v=75 - 27

2v=48

v= 24 visits

So, she needs 24 visits

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