Multiply out the brackets and simplify where possible: 3(2x+5)-2(x-1)

Answers

Answer 1

Answer: 3(2x+5)-2(x-1) = 3x2x+3x5-2(x-1) = (6-2)x+3x5+2= 4x+17.

Hope this helps.

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Michelle wants to make a long-term investment. She wants to triple an initial investment of$2,000. If she invests at a simple interest rate of 12% per year, approximately how long will it
take her principal to triple?

Answers

Answer:

It will take approximately 17 years

Step-by-step explanation:

Let the initial investment be x

The investment plus the principal yields 3x

The interest is thus 3x-x = 2x

Formula for simple interest is;

I = PRT/100

R is rate = 12%

T is time = ?

x =$2,000 which is the principal

2x = x * 12 * T/100

2 = 12t/100

12t = 200

t = 200/12

t = 16.67 which is approximately 17 years

A science class planted a tree in the school courtyard that was 6 inches tall. It is growing 4 inches eachweek. Write a function rule for the height, h, of the tree based on the weeks, w, since it was planted.
(1 point)
h = 6w + 4
h = 4w + 6
h = 4w
h = 4w – 6

Answers

h = 6 + 4*weak

.,.,.,.,

A hallway measuring 90 feet x 7 feet requires 1/2 a fluid oz of cleaning solution per sq ft. How much cleaning solution is needed to clean the hallway?

Answers

You want area of the floor to know how many square feet you have 90x7=630 630sq. ft of floor and it takes 1/2 an oz to clean one of them 630(1/2)=315oz

1. 350 is 70% of what number? A) 500. B) 420. C) 245. D) 280
2.What percent of 64 is 24?
A) 267%. B) 62.5%. C) 40%. D) 37.5%
3.What percent of $6.50 is $2.60?
A) 25%. B) 40%. C) 90%. D) 250%

4.20% of 140 is what number? A) 280. B) 120. C) 28. D) 12

Answers

All the solutions are,

1) 350 is 70% of number 500.

2) 37.5% of 64 is 24.

3) 40% of 6.5 is 2.60.

4) 20% of 140 is 28.

Now, We can simplify all the equation as,

1) Let us assume that a number = x

Hence, We get;

350 = 70% of x

Solve for x,

350 = 70x/100

350 = 7x/10

3500 = 7x

7x = 3500

x = 500

So, 350 is 70% of number 500.

2) Let us assume that, x% of 64 is 24.

Hence, We get;

⇒ x% of 64 = 24

Solve for x;

⇒ x/100 × 64 = 24

⇒ 64x = 2400

⇒ x = 2400 / 64

⇒ x = 37.5%

Hence, 37.5% of 64 is 24.

3) Let us assume that, x% of 6.5 is 2.60

Hence, We get;

x% of 6.5 = 2.6

x/100 x 6.5 = 2.6

6.5x = 260

x = 260/6.5

x = 40

Hence, 40% of 6.5 is 2.60.

4) Let us assume that a number = x

Hence, We get;

20% of 140 = x

20/100 x 140 = x

2800 = 100x

x = 2800 / 100

x = 28

Hence, 20% of 140 is 28.

Learn more about the percent visit:

brainly.com/question/24877689

#SPJ6

Answer:

1. A 500

2. D 37.5

3. B 40%

4.C 28

Step-by-step explanation:

Pretty please help guys!!

Answers

For #1:

y = x + 4

Parallel lines have the SAME slope, this equation is in the form of y = mx + b, where 'm' is the slope. So the slope here is 1.

To find the equation of a line that passes through (2, 2) and has a slope of 1, we can plug it into point-slope form:

y - y1 = m(x - x1)

Where 'y1' is the y-value of the point, 'x1' is the x-value of the point, and 'm' is the slope.

y - 2 = 1(x - 2)

Distribute 1 into the parenthesis:

y - 2 = x - 2

Add 2 to both sides:

y = x

So your equation is y = x.

IGreen's answer is elegant and totally correct, but I'm guessing that you'll get
confused when you try to dig through it. Allow me to present a simpler method,
if I may:

-- In your picture, we can only see 1, 3, and 5. We can't see enough of 2, 4,
or 6 to work on them.
But ALL six of the problems on this page are examples of the same thing:
Write the equation of a line when you know the slope and one point on the
line. That's it !

Rules to use:

-- The slope-intercept form of the equation of a line is

   y = (slope) x + (intercept)

-- When two lines are parallel, they have the SAME slope.

-- When two lines are perpendicular, their slopes are negative reciprocals.
. . . . . 'negative' means the opposite sign
. . . . . 'reciprocal' means flip a fraction over, or take 1 / (a whole number).
negative reciprocal of 3/4 is (- 4/3)
negative reciprocal of -2 is (+ 1/2)
etc.

And now you're ready to solve all six problems.

#1). through (2,2) and parallel to [ y = x + 4 ] .

"parallel" means the new line has the same slope as [ y = x + 4 ] .
What is the slope of [ y = x + 4 ] ? It's the '1' that's not written next to 'x'.
So the new line is going to be [ y = 1x + b ].
All you need to find is 'b'.

Whatever equation you find for the new line, it'll be true for every point on
the line.
You already know one point on the new line ... (2,2) ... The equation must be
true for this point. Write this point into the new equation:

   y = 1x + b

   2 = 1(2) + b

   2 = 2 + b

What is 'b' ? Subtract 2 from each side, and you have

   0 = b .

So the equation of the new line is [ y = x + 0 ] or just [ y = x ].

That's how to do them when the new line is parallel to a given line.
Now do one where the new line is perpendicular to a given line.

#5). through (1, -5) and perpendicular to [ y = -1/8 x + 2 ].

What's the slope of the new line ? In order to be perpendicular to this one,
the slope of the new one must be the negative reciprocal of -1/8 .
The negative of -(anything) is +.
The reciprocal of 1/8 is 8 .
So the slope of the new line is +8 .
The equation of the new line is . . . [ y = 8x + b ].
How to find 'b' ?
Take the point you know on the new line (1, -5), and write it into this equation:

   -5 = 8(1) + b

Squeeze 'b' out of this, and you have the equation of your new line.

All of the other problems on the page are just like these. All together,
on the whole page, there are 4 problems where the new line is parallel
to the given line, and two problems where the new line is perpendicular
to the given one. You should be able to whip out all six in about 15 minutes.

Good luck.

Write the vertex form equation for this parabola: Focus (3,-9), Directrix X=-3

Answers

Y=KX+M
-9=(-3/9)*-3+m
-9=1+M
M=-10

Y=(-3/9)-10 is the answer

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