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2 years ago

I need help on this.

Mathematics

1 answer:

andrew11 [14]2 years ago

3 0

To find the midpoint, add x1 and x2 then divide by 2, then add y1 and y2 and divide by 2.

Midpoint = (2a +2b /2 , 0 + 2c /2)

Midpoint = a+b, c

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The following graph represents a retirement savings account after the owner of the account begins withdrawing 5% each year.

Dmitry [639]

Answer:

Options 2 and 5 are true.

Step-by-step explanation:

We are given that,

The graph represents the amount in the savings account after the owner withdraws the money each year.

According to the options, we have,

1. As time increases, the amount of money in the savings account is decreasing. So, the function is an example of exponential decay.

2. Also, the initial amount of money in the account is 500,000 dollars.

3. After 10 years, the amount in the account is less than 300,000 dollars.

4. Now, the amount withdrawn by the owner is decreasing exponentially and so cannot be same each year.

5. Further, the y-intercept is the point when y= 500,000 dollars, which is the amount of money in the account when the owner started withdrawing.

Hence, we get that,

Options 2 and 5 are true.

6 0

2 years ago

Read 2 more answers

Angle math Hw. Pls help

timurjin [86]

Answer:

x = 45°

Step-by-step explanation:

We can tell that "x + 115" and 160° are vertically opposite angles, which means that they are equal. (Refer to image)

⇒ x + 115 = 160

⇒ x = 160 - 115

⇒ x = 45°

Learn more about vertically opposite angles: brainly.com/question/68367

<h3>Image:</h3>

6 0

1 year ago

Read 2 more answers

(60 points)

natka813 [3]

Answer:

Step-by-step explanation:

$2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56$

$5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}$

$6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}$

8 0

3 years ago

Which is smaller-21/35, 7/5

Paladinen [302]

Answer:

-21/35

Step-by-step explanation:

So, 7/5 is a postive number, since it doesn't have a negative - sign in front of it. On the other hand, -21/35 does. Knowing this, we can conclude that -21/35 is smaller than 7/5.

If you want another way of thinking about it, just guessing, what is 7/5? Well, 7 is bigger than 5, so it must be at least 1. On the other hand, with -21/35, the -21 doesnt look like its bigger than 35, so it must be smaller than 1.

Answer:

<u>-21/35 is smaller than 7/5 </u>

<u></u>

3 0

2 years ago

Read 2 more answers

The equation y=19x relates proportional quantities x and y.

lions [1.4K]

Answer:

the value of x is 4/19

Step-by-step explanation:

it is simple math. 4=19x divide 4 by 19

6 0

2 years ago