How much is b in the equation
y = 3/4 x + 1

The expressions that could represent the length and width are (x - 2) units and (x - 7) units respectively.

To find the expressions that represent the length and width of the rectangle, we need to factor the given expression.

x² - 9x + 14 = (x - 2)(x - 7)

The length and width of the rectangle are represented by two factors of the expression.


To find the length and width of the rectangle, we need to understand the formula for the area of a rectangle, which is length multiplied by width. The given expression x²-9x+14 represents the area of the rectangle. To find the expressions that represent the length and width, we need to factor the given expression.

We can do this by finding two numbers that multiply to 14 and add up to -9. These numbers are -2 and -7. Therefore, we can factor the given expression as (x - 2)(x - 7). From this, we can see that the length of the rectangle is represented by the factor (x - 2) units and the width is represented by the factor (x - 7) units.

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Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

The Radical Form is \(185x^3y^4\).

What is the Radical Form?

If n is a positive integer that is greater than 1 and 'a' is a real number then,

 \(n\sqrt{a} = a1n\)   where n is called the index, a is called the radicand, and the symbol \(\sqrt{}\) is called the radical. The left side of this equation is often called  The radical form and the right side is often called the exponent form.

Now, The question is :

The Expression is : (5x3y4)37

Convert to Radical form by using the formula :

\(a^\frac{x}{n} = \sqrt[n]{a^x}\)

(5x3y4)37 = \(185x^3y^4\)

Therefore, The Radical Form is \(185x^3y^4\)

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A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the selling price of the computer notebook be represented by x.

Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.

Also, the saving she made by buying this week will be $150, therefore, we can write,

x-0.84x = $150

0.16x = $150

x = 937.5

Hence, the regular selling price of the computer notebook will be $937.5.

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Answer:

30+13=43

Step-by-step explanation:

when you increase 30 by 13 you end up with 43

We use the point estimate, margin of error, and desired degree of confidence to determine the confidence interval for a proportion (p) based on the normal distribution.

The sample size (n) in this instance is 130, and the point estimate (p) is 0.7. We must compute the confidence interval and the margin of error.

The proportion that has been provided as the point estimate is p = 0.7.

We employ the following formula to determine the margin of error:

Margin of Error is equal to z * (p(1-p)/n).

The z-value corresponding to this confidence level for a 95% confidence level is roughly 1.96.

Using the formula's given values as substitutes, we obtain:

Margin of Error is calculated as 1.96 * (0.7(1-0.7)/130) 0.064.

About 0.064 of an error is allowed.

To determine confidence

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Answer:

if nth term of the AP 3,10,17.... is same as the nth term of the AP 63,65,67.... find n.

Step-by-step explanation:

please solve this also it's hard for me

Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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Answer: The solutions to the equation 3(x-5)(2x+3) = 0 are x = 5 and x = -3/2.

Step-by-step explanation: So, we have:

3(x-5)(2x+3) = 0

Using the zero product property, we can set each factor equal to zero:

x - 5 = 0 or 2x + 3 = 0

Solving for x in each equation, we get:

x = 5 or x = -3/2

Therefore, the solutions to the equation 3(x-5)(2x+3) = 0 are x = 5 and x = -3/2.

Answer:

The value of the machinery after 5 years is $236.20

Step-by-step explanation:

Generally, we have the depreciation exponential expression as;

V(t) = I (1 - r)^t

V(t) is the value of the machinery at a point in time

I is the initial value or the cost of the machinery when bought which is $400

r is the rate of decrease which is 10% and is same as 10/100 = 0.1

t is the time which is 5 years

Substituting these values;

V(5) = 400( 1 - 0.1)^5

V(5) = 236.196

to the nearest vent, this is $236.20

Students raised $225 in the first week and $90 in the second week.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a student club has a goal to raise $750 to buy new books for a library.

In the first week, the club raised 30% of its goal.

Now, 30% of 750

= 30/100 ×750

= 3×75

= $225

In the second week, the club raised 12% of its goal.

Now, 12% of 750

= 12/100 ×750

= 0.12×750

= $90

Hence, students raised $225 in the first week and $90 in the second week.

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Answer: -17

Step-by-step explanation:

-8+-9=-17

(っ◔◡◔)っ ♥ Answer:

⁎   -17        

Explanation:

-8 + ( -9 )

Parenthesis Multiplies the Negative ( - ) and Positive ( + ) which Is Negative ( - ). The the equation would be re-written as :  -8 - 9. Staring for -8 you going back (Because of subtraction) 9 times and you get -17 :D

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Answer:

1)X+4=2x-17+10

X. =2x-7-4

11=X

DF=11+4

=15

2)FH~

11x+71=12x+32

12x-11x =71-32

X=39

FH=(11×39)+71+(12×39)+32

=1000

3)57+39+8x-12=180

8x+84-84=180-84

8x=96

X=12

4)11x+2=68

11x=66

X=6

5)114+X+37+X=139

2x+151. -151=139-151

X=-6

Answer:

1. x=11

2. x=39

3. x= 12

4. x=6

5. x=-6

Step-by-step explanation:

1. x+4= 10+2x-17

FG=GH

x+4=2x-7

11=x

2. 11x+71=12x+32

subtract from both sides

39=x

3. All angles of a triangle add to 180.

39+57+(8x-12)=180

96+(8x-12)=180

8x-12=84

8x=72

divide both sides by 8

x=9

4. Vertical angles are equal

68=11x+2

66=11x

divide

6=x

5. (114+x)+(37+x)=139

Add like terms

151+2x=139

subtract

2x=-12

x=-6

Answer:

a = r + d - c

Step-by-step explanation:

a + c = r + d

You want a alone on the left side. c is being added to a.

To get rid of the c, you must subtract c from the left side, but the rule of equations is that you must do the same operation to both sides of the equation. We subtract c from both sides of the equation.

a + c - c = r + d - c

c - c = 0, so the c is eliminated from the left side.

We now have

a + 0 = r + d - c

a = r + d - c

Answer:

a = r + d - c

Step-by-step explanation:

All we do is transpose c to the other side to isolate a.

The average rate of change of height is

(a).

From 0 seconds to 2.3 seconds

and

Therefore,

(b).

From 4.6 seconds to 11.5 seconds we have

and

Therefore,

Hence, (a). 40m/s and (b). -20m/s.

Answer:

Step-by-step explanation:

Initial value is x, current value is $13600, price reduction by 15%.

Answer:

Equation of the line: y= 2x-8

Graph is attached.

Step-by-step explanation:

First, start by inputing the given points into slope equation: \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

\(m=\frac{8-4}{8-6} }\)

Simplify.

\(\frac{4}{2} =2\)

Then, substitute the slope for m in y=mx+b.

y=2x+b

Find b by substituting one of the points for x and y.

4=2(6)+b

Solve for b.

4=12+b

b=-8

Then substitute b into y=2x+b.

Answer: y=2x-8

Answer:

Step-by-step explanation:

Problem 2:

Count the blocks.

You can find 1 1000 block

You can find 2 100 block

You can find 3 10 block

You can find 6 1 block.

Together it is 1236.

Problem 3:

Expanded notation is the number listed in groups of base 10. To solve, just put the number of blocks and the block number.

(1 x 1000)+(2 x 100)+(3 x 10) + (6 x 1)

Problem 4:

Find the number between the clues.

Since A is close to 100 and less than 100, you could put 75, which is close to 100 but not quite enough.

Since B is pretty close to a 100 but greater than 100, you could put 110.

Since C is in the middle of both 100 and 200, you could put 150 because it's in the middle of both numbers.

Since D is in between C which is 150 and 200, you could put 175 as that is half of both numbers.

Since E is close to 200 but bigger than D which is 175, you could put 180.

Answer:

1/2

Step-by-step explanation:

if you multiply each number by 1/2 you receive the next number in the sequence

Answer:

\(y = -\frac{5}{3}x-7\)

Step-by-step explanation:

We are given three coordinates. First, we have to find the slope. We can do this by counting the slope of two points which we will do for simplicity's sake.

\(\frac{rise}{run}\) gives us \(-\frac{5}{3}\) which we will use as the slope.

Looking at the graph, the y intercept of the equation is -7, so our equation would be \(y=-\frac{5}{3}x-7\)

The equation that provides the number of years since the car was purchased in terms of its value is (v/2000) - 8.5

In algebra questions, values that are ambiguous or subject to change are represented by letters or symbols.

When it comes to solving for an unknown variable, algebra becomes very useful.

For example, how much money will I save if item retailing for $20 is offered at a 10% discount?

Savings = Full Price * Discount = $20 * 10% = $2

or I spent $30 on items, with each item costing $5, how many items should I have?

Total = No. Items * Item Price

$30 = No. Items * $5

No. Items = Total / Item Price

No. Items = 6

Let the number of years = t

v = 17000 - 2000t

Value = 17000 by row/year

(v - 17000)/2000 = t

Therefore,

t = (v/2000) - 8.5

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The cost to print 50 photos is $12.50

What is proportion?

The proportion formula is used to determine whether or not two ratios or fractions are equal.

We can use a proportion to find the cost to print 50 photos based on the cost to print 20 photos. Since Ms. Morris charges $5.00 to print 20 photos, we can set up the proportion:

\(\frac{cost \ of \ 20\ photos}{number \ of\ photos } =\frac{cost \ of \ 50 \ photos}{number\ of \ photos}\)

Plugging in the given values, we get:

$5.00 / 20 photos = x / 50 photos

Simplifying, we can cross-multiply to get:

20 photos * x = $5.00 * 50 photos

Multiplying and simplifying further, we get:

20x = $250.00

Dividing both sides by 20, we get:

x = $12.50

Therefore, the cost to print 50 photos is $12.50.

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The soil productivity is 7.5 tons per hectare.

The teacher asks Marvin to calculate soil productivity. The following data are given: "The farmer Mahlzahn owns 8 hectares of land. With this land he has a potato yield of 60 tons."

Yield per hectare = Total yield / Total land area Yield per hectare

= 60 tons / 8 hectares

Yield per hectare = 7.5 tons per hectare

Therefore, the correct answer would be 7.5 tons per hectare.

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Answer:

3x+1=2x+40

We move all terms to the left:

3x+1-(2x+40)=0

We get rid of parentheses

3x-2x-40+1=0

We add all the numbers together, and all the variables

x-39=0

We move all terms containing x to the left, all other terms to the right

x=39

Step-by-step explanation:

Answer:

x = 48

Step-by-step explanation:

Original equation:

1/3x + 1/2x = 40

Add 1/3x to 1/2x

5/6x

Equation Now:

5/6x = 40

Divide both sides by 5/6

x = 48

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Answer:

F(t) = 1.8 - 0.04t

Step-by-step explanation:

Given that :

Length of trail = 1.8m

Walking speed = 0.04 miles per minute

Distance left, t minutes after one statues walking :

Total distance covered after t minutes = speed * time = 0.04t

Distance left after t minutes :

Initial distance - distance covered

Hence,

F(t) = 1.8 - 0.04t

By dividing the annual percentage rate (APR) by the number of billing cycles per year, the periodic interest rate = 73.89%

The periodic interest rate is the interest rate that is applied to your credit card balance on a periodic basis, usually on a monthly or daily basis. It is calculated by dividing the annual percentage rate (APR) by the number of billing cycles in a year.

The periodic interest rate would be calculated as follows:

Periodic interest rate = APR / number of billing cycles per year

Periodic interest rate = APR / number of billing cycles per year

Since the billing cycle is 31 days long, there are approximately 12/31 = 0.387096774 billing cycles per year. Therefore, the periodic interest rate would be:

Periodic interest rate = 28.53% / 0.387096774 = 73.89%

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The center of gravity (x¯, y¯) of the wire is approximately (2.546, 2.546).

To find the center of gravity (x¯, y¯) of the wire, we can use the concept of geometric centroids. For a quarter of a circle in the first quadrant, the center of gravity will coincide with the centroid of the quarter-circle.

The centroid coordinates (x¯, y¯) of a quarter-circle with radius R can be found using the following formulas:

x¯ = (4R)/(3π)

y¯ = (4R)/(3π)

In this case, the radius of the quarter-circle is 6. Plugging this value into the formulas, we get:

x¯ = (4 * 6) / (3 * π)

= 24 / (3 * 3.14159)

≈ 2.546

y¯ = (4 * 6) / (3 * π)

= 24 / (3 * 3.14159)

≈ 2.546

Therefore, the center of gravity (x¯, y¯) of the wire is approximately (2.546, 2.546).

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Answer:

D 7.42

Step-by-step explanation:

y = k x

40.81 = k ( 5.5)

k = 40.81/5.5 =