Which expression shows the factors of 9x2 3x − 2? a. (3x − 1)(3x − 2) b. (3x 1)(3x − 2) c. (3x 2)(3x − 1) d. (9x − 2)(x 1)

boat speed= 8 m/s

river current= 5 m/s

the resultant speed of the motorboat rounded to the nearest 10.

use pythagorean theorem.

let the unknown be "x".

[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]

[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]x = \sqrt{ {8}^{2} + {5}^{2} } [/tex]

[tex]x = \sqrt{64 + 25} [/tex]

[tex]x = 9.4 \: m |s[/tex]

hence, the resultant speed of the motorboat is 9.4 m/s

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

simplifying

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{45}[/tex] - 3[tex]\sqrt{20}[/tex] + 4[tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex] - 3(2[tex]\sqrt{5}[/tex] ) + 4[tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex] - 6[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]

= [tex]\sqrt{5}[/tex]

The inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.

Inequality is defined as a mathematical expression in which both sides are not equal and have mathematical signs that are either less than or greater than.

Let's suppose the total minutes of uses for cell phone is x

and total minutes of uses of for tablet is y

Cell phone cost $0.10 each minute and tablet cost $0.15 each minute.

Then total minutes will be:

x + y < 5000 (as it is given that the time will be less than 5,000 minutes on both of the devices)

And total cost = $450

0.10x + 0.15y ≤ $450

Thus, the inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.

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Answer:

3.08 percent

Step-by-step explanation:

if you do proportions, then it would go like this:

12/390 = x/100

(cross multiply)

390x = 1200

(divide both sides by 390 to get x by itself)

x = 3.07692307692

round and its about 3.08 percent

sorry if its wrong im only in 6th grade

Answer:

292,968

Step-by-step explanation:

Divide through the limand by the highest power of t :

[tex]\displaystyle \lim_{t\to\infty} \frac{t^3-t+2}{(2t-1)(t^2+t+1)} = \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)}[/tex]

(I distributed 1/t³ in the denominator as 1/t (2t - 1) and 1/t² (t² + t + 1).)

As to goes to infinity, these 1/tⁿ terms will converge to 0, and you're left with

[tex]\displaystyle \lim_{t\to\infty} \frac{1 - \frac1{t^2} + \frac2{t^3}}{\left(2-\frac1t\right) \left(1+\frac1t + \frac1{t^2}\right)} = \frac{1 - 0 + 0}{(2-0)(1+0+0)} = \boxed{\frac12}[/tex]

The percentage of the rectangle that will be beige is 15.5 percent

A rectangle is a quadrilateral having the four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.

The width of the "H" is 1/2 the distance form the top to the bottom of the "H" is 1/2

1/2 + 1/2 =

the side length of the "H" is 4

4 x 1/2 = 2

The demensions of the other 1/2 by 4 are the same, therefore,

2 + 2 = 4

The middle section is 1 by 1/2

1 x 1/2 = 1/2

The equation is 2 + 1/2 = 2 1/2

and converted to decimal form it is 4.5

The rectangle is 4 by 5

So 4 x 5 = 20

20 - 4.5 = 15.5 percent

Hence the percentage of the rectangle that will be beige is 15.5 percent.

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Answer:

D. Ray

Step-by-step explanation:

Point: A dot in an exact location or position on a plane surface.

Line: A straight line that goes on infinitely in both directions and has no endpoints.

Line segment: A line between two points on each end.

Ray: A line with one endpoint and extends in one direction infinitely.

Answer:

1/15 or 0.0666.. repeating

Step-by-step explanation:

1. Group all a terms on the left side of the equation

Add a to both sides

[tex]46a+\frac{5}{3}+a=\frac{24}{5}-a+a[/tex]

Group like terms:

[tex]46a+a+\frac{5}{3}=\frac{24}{5}-a+a[/tex]

Simplify the arithmetic:

[tex]47a+\frac{5}{3}=\frac{24}{5}-a+a[/tex]

Group like terms:

[tex]47a+\frac{5}{3}=-a+a+\frac{24}{5}[/tex]

Simplify the arithmetic:

[tex]47a+\frac{5}{3}=\frac{24}{5}[/tex]

2. Group all constants on the right side of the equation

[tex]47a+\frac{5}{3}=\frac{24}{5}[/tex]

Subtract [tex]\frac{5}{3}[/tex] from both sides:

[tex]47a+\frac{5}{3}-\frac{5}{3}=\frac{24}{5}-\frac{5}{3}[/tex]

Combine the fractions:

[tex]47a+\frac{5-5}{3}=\frac{24}{5}-\frac{5}{3}[/tex]

Combine the numerators:

[tex]47a+\frac{0}{3}=\frac{24}{5}-\frac{5}{3}[/tex]

Reduce the zero numerator:

[tex]47a+0=\frac{24}{5}-\frac{5}{3}[/tex]

Simplify the arithmetic:

[tex]47a=\frac{24}{5}-\frac{5}{3}[/tex]

Find the lowest common denominator:

[tex]47a=\frac{24\cdot 3}{5\cdot 3}+\frac{-5\cdot 5}{3\cdot 5}[/tex]

Multiply the denominators:

[tex]47a=\frac{24\cdot 3}{15}+\frac{-5\cdot 5}{15}[/tex]

Multiply the numerators:

[tex]47a=\frac{72}{15}+\frac{-25}{15}[/tex]

Combine the fractions:

[tex]47a=\frac{72-25}{15}[/tex]

Combine the numerators:

[tex]47a=\frac{47}{15}[/tex]

3. Isolate the a

[tex]47a=\frac{47}{15}[/tex]

Divide both sides by 47:

[tex]\frac{47a}{47}=\frac{\frac{47}{15}}{47}[/tex]

Simplify the division:

[tex]a=\frac{47}{15\cdot 47}[/tex]

Simplify the right side:

[tex]a=\frac{1}{15}[/tex]

hope this helps:)

Answer:

0.06 or 1/15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Use the slope-intercept form y=mx+by=mx+b to find the slope mm and y-intercept bb.Slope: 22y-intercept: (0,2)(0,2)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

to find the answer to this you sould divide the amount of pints by the number of bottles

18/8

which is also 2 2/8

so the answer is b

Answer:

The triangles are not similar

Step-by-step explanation:

You can make a ratio with the corresponding sides of the triangles. When triangles are similar, the ratios are equal.

These will be:

ED:BA = EF:BC = FD:AC

Now, to substitute the numbers and check whether the ratios are equal:

3/8 = 2/5

Already, we see that these ratios are not equal, therefore the two triangles aren't similar.

The horizontal asymptotes the the point where the horizontal line cutes the y-axis. The horizontal asymptotes of the function is y =7

The horizontal asymptotes the the point where the horizontal line cutes the y-axis,

Given the function

j(x) = 14x³+45/2x³+9

Since the powers of both numerator and denominator is the same, we will take the ratio of their coefficient as shown

y = 14/2

y = 7

Hence the horizontal asymptotes of the function is y =7

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The measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a standard-position angle determined by the point (x, y).

The point is (9, 12)

From the Pythagoras theorem, we can find the hypotenuse(h):

h  = √(9²+12²)

h = 15

cscθ = hypotenuse/opposite = 15/12 = 5/4

secθ = hypotenuse/adjacent = 15/9 = 5/3

Thus, the measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.

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Answer:

[tex]87.5\ miles[/tex]

Step-by-step explanation:

Step 1:  Determine how far

Rate of speed * total hours

[tex]\frac{25\ miles}{hour}*3.5\ hours[/tex]

[tex]87.5\ miles[/tex]

Answer:  [tex]87.5\ miles[/tex]

Answer:

(-3, -1.5)

Step-by-step explanation:

Given:

[tex]\boxed{\text{Midpoint of a line segment:} \ \huge\text(\dfrac{x_1 + x_2}{2} ,\dfrac{y_1 + y_2}{2} \text)}[/tex]

Substitute the endpoints of the line segment in the midpoint:

[tex]\implies \huge\text[\dfrac{-2 + (-4)}{2} ,\dfrac{6 + (-9)}{2} \text][/tex]

Simplify the coordinates in the midpoint:

[tex]\implies \huge\text[\dfrac{-2 - 4}{2} ,\dfrac{6 - 9}{2} \text] \implies \huge\text[\dfrac{-6}{2} ,\dfrac{-3}{2} \text]\implies \huge\text[-3 ,-1.5 \text][/tex]

Thus, the coordinate of the midpoint is (-3, -1.5)

Answer:

We are 90% confident that the population mean height of college football players is between 65.6 and 67.1 inches.

Step-by-step explanation:

90% Confidence interval means that out of 100 different samples, for example, 90 out of 100 confidence intervals with include the true mean value (average height).

The volume of the square pyramid will be equal to V = 648 square centimetres.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.

Given that:-

The volume will be calculated as:-

V = L  x  W  x  H

V = 9  x   9  x  8

V = 648 square centimters.

Therefore the volume of the square pyramid will be equal to V = 648 square centimetres.

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Using the Empirical Rule, it is found that Tariq scores between 80 and 140 in 99.7% of the games that he bowls.

It states that, for a normally distributed random variable:

In this problem, considering the mean of 110 and the standard deviation of 10, scores between 80 and 140 are within 3 standard deviations of the mean, hence Tariq scores between 80 and 140 in 99.7% of the games that he bowls.

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The option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.

The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

As we can see in the table, data is given, we can plot it in the graph by using the scale factor.

On the x-axis, scale: 1 unit = 1 week

On the y-axis, scale: 1 unit = 150 minutes

On the y-axis, 2 units = 300 minutes

On the y-axis, 3 units = 450 minutes

Thus, the option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.

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The model could be improved by using a step function.

The equation for the flowing rate of aamir is as follows y  =  -12x  +360

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

First of all let's write the slope-intercept form of the equation of a line, which is:

y   =  mx  +  c

So we just need to find to solve this problem.

Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:

Negative slope because Amir is descending. So:

y    =  -   12x  +  b

To find, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point. Therefore, substituting this point into our equation:

y  =  -12x  +  b

0  =   -12(30)   +  b

b   =   360

Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:

y  =  -12x  +360

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Answer:

11 meters per minute

Step-by-step explanation:

The rate at which Amir descended is equivalent to the rate of change of this relationship. In linear relationships, the rate of change is represented by the slope of the line. We can calculate this slope from any two points on the line.

Hint #22 / 2

Two points whose coordinates are clearly visible from the graph are

(

0

,

440

)

(0,440)left parenthesis, 0, comma, 440, right parenthesis and

(

40

,

0

)

(40,0)left parenthesis, 40, comma, 0, right parenthesis.

Now, to find the slope, let's take the ratio of the corresponding differences in the

�

yy-values and the

�

xx-values:

0

−

440

40

−

0

=

−

440

40

=

−

11

40−0

0−440

​

=

40

−440

​

=−11start fraction, 0, minus, 440, divided by, 40, minus, 0, end fraction, equals, start fraction, minus, 440, divided by, 40, end fraction, equals, minus, 11

The slope of the line is

−

11

−11minus, 11, which means that Amir descended at a rate of

11

1111 meters per minute.

The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to one hundred with a scale of ten and is titled Paprika in kilograms. The vertical axis is from negative three hundred to five hundred with a scale of one hundred and is titled Profit in dollars. The graph of the line is y equals eight x minus two hundred eighty.

The slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.

The slope of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It describes the direction of the line.

The standard form of the equation of a line can be given as,

y=mx+c

Here, c is the y intercept of the line and m is the slope of the line.

The equation of the line is given as,

4x-y+3=0

Rewrite the equation in the standard form as,

4x-y+3=0

4x+3=y

y=4x+3

Compare it with standard equation we get,

m=4

c=3

Thus, the slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.

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Answer:

[tex]\huge\boxed{\sf -\frac{1}{4} }[/tex]

Step-by-step explanation:

Given Fraction:

[tex]\displaystyle =-\frac{2}{8}[/tex]

Divide both numerator and denominator by 2 to simplify.

[tex]\displaystyle =-\frac{2 \div 2}{8\div 2} \\\\= -\frac{1}{4} \\\\\rule[225]{225}{2}[/tex]

Answer:

[tex]3\sqrt5[/tex]

Step-by-step explanation:

The pythagorean theorem is [tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.

so, [tex]3^2+6^2=c^2[/tex]

9 + 36 = 45

[tex]\sqrt45=\sqrt{c^2}[/tex]

c = [tex]3\sqrt5[/tex]

The best arrangement can be

So

So

TSA

Total cost

Answer:

An angle inscribed in a circle is half of the central angle 2 that subtends the same arc on the circle, according to the inscribed angle theorem. As a result, the angle does not change as the vertex of the circle is moved around.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Square root of 74 is 8.6.

Using the pythagoras theorem,

7²+x²(half)=8.6²

49+x²(half)=74

x²=25, x=5

Now we found the half of x, we are going to add the other side which is 5+5=10

Answer:

x= 1.74

Step-by-step explanation:

Area of triangle= ½ ×base ×height

We are given that the base is (x +4), the height is x and the area is 5.

5= ½(x +4)(x)

Multiply both sides by 2:

x(x +4)= 10

Expand:

x² +4x= 10

x² +4x -10= 0

Let's use the quadratic formula!

[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} }[/tex]

[tex]x = \frac{ - 4± \sqrt{ {4}^{2} - 4(1)( - 10)} }{2(1)} [/tex]

[tex]x = \frac{ - 4± \sqrt{56} }{2} [/tex]

x= 1.74 or x= -5.74 (reject)

(nearest hundredth)

Answer:

why don't u send the pictures so I can help u out