The product of a binomial and trinomial is x^3+3x^2-x+2x^2+6x-2 which expression is equivalent to this product after it has been fully simplified?

Answer: B. 2=3x+10x^2

Step-by-step explanation:

The expression means the quadratic function equation.

B = 10x^2 + 3x -2 = 0

the equation is [-b ±√(b^2 -4ac)]/2a

b should be +3 to become -3 when it is plugged into the equation, and 'a' should be 10, and c should be -2.

Answer:B

Step-by-step explanation:

Ye you know me keep it a buck like 123 ye 2022 baby

Answer:

[tex]\large\boxed{\dfrac{x+5}{x^2}-\dfrac{2}{5x}=\dfrac{3x+25}{5x^2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x+5}{x^2}-\dfrac{2}{5x}=\dfrac{5(x+5)}{5x^2}-\dfrac{2x}{5x^2}\qquad\text{use the distributive property}\\\\=\dfrac{5x+25}{5x^2}-\dfrac{2x}{5x^2}=\dfrac{5x+25-2x}{5x^2}=\dfrac{3x+25}{5x^2}[/tex]

The difference between the rational expressions below will be,[tex]\frac{3x+25}{5x^2}[/tex]

Arithmetic is an area of mathematics involving the study of numbers and the different operations that can be performed on them.

The difference in the rational expression is found as;

[tex]=\frac{x+5}{x^2} -\frac{2}{5x} \\\\=\frac{5(x+5)}{x^2} - \frac{2x}{5x^2} \\\\\ = \frac{5x+25}{5x^2} -\frac{2x}{5x^2 }\\\\\ = \frac{5x+25-2x}{5x^2} \\\\ = \frac{3x+25}{5x^2}[/tex]

The difference between the rational expressions below will be,[tex]\frac{3x+25}{5x^2}[/tex].

To learn more about the arithmetic operation, refer to the link;https://brainly.com/question/25834626

#SPJ2

Answer:

f(n) = 2 + 3(n-1)

Step-by-step explanation:

Answer:

f(n) = 2 + 3(n-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you find the sum of a number you are adding two or more numbers together. therefore the only answer that you could use to get a sum of 5 when your first term is 12 would be -7

Answer:

14, 28, 42, 56, 70, 84, (etc.)

Step-by-step explanation:

14, 28, 42, 56, 70, 84, (etc.) are all multiples of 7. They're also even and have 2 digits.

Answer:     14  28  42  56  70  84

Step-by-step explanation: Hopes this helps

Answer:

$480+$48=$528

Step-by-step explanation:

his friend paid him $480 and 10% so,

=10/100*480

=1/10*480

=480/10

=$48

so,his friend paid him $480+$48=$528.

Answer:

-4

Step-by-step explanation:

Technically, the negative sign is treated as multiplying by -1, which is then separate from the 2.  This equation can also be rewritten as [tex]-1 * 2^2[/tex], which would be simplified to [tex]-1 * 4[/tex] and then [tex]-4[/tex].

It depends on how the parenthesis is like. -(2)^2 will equal -4 while (-2)^2 equals 4. But the answer will most likely be 4 because they tend to make sure to put parenthesis if they want the answer to be -4. (Calculators are programmed differently which is why you're getting mixed answers.)

Answer:

0.

Step-by-step explanation:

The nonpermissible replacement of the variable in an expression is the value of x that will make the denominator of the expression zero.

This problem will therefore be written as -5/3y≠0, and it can't be 0, so 0 is your non permissible replacement.

Hope this helps!

Answer:

2y + 3x = 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 2y = - 4 into this form

Subtract 3x from both sides

2y = - 3x - 4 ( divide all terms by 2 )

y = - [tex]\frac{3}{2}[/tex] x - 2 ← in slope- intercept form

with slope m = - [tex]\frac{3}{2}[/tex]

• Parallel lines have equal slopes, thus

y = - [tex]\frac{3}{2}[/tex] x + c ← partial equation of parallel line

To find c substitute (4, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - [tex]\frac{3}{2}[/tex] x + 5 ← in slope- intercept form

Multiply through by 2

2y = - 3x + 10 ( add 3x to both sides )

3x + 2y = 10 ← in standard form

The equation of the line parallel to 3x+2y= -4 goes through the point (4,-1).

The general equation of a straight line exists y = mx + c, where m is the gradient, and y = c exists the value where the line cuts the y-axis. This number c is named the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis stands y = mx + c.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 2y = - 4 into this form

Subtract 3x from both sides

2y = - 3x - 4 ( divide all terms by 2 )

y = -  x - 2 ← in slope- intercept form

with slope m = -

• Parallel lines have equal slopes, thus

y = -  x + c ← partial equation of parallel line

To find c substitute (4, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = -  x + 5 ← in slope- intercept form

Multiply through by 2

2y = - 3x + 10 ( add 3x to both sides )

3x + 2y = 10 ← in standard form.

To learn more about Equation of line refer to:

https://brainly.com/question/11552995

#SPJ2

Answer:

a + 2

Step-by-step explanation:

Given

[tex]\frac{a^2+3a+2}{a+1}[/tex] ← factor the numerator

= [tex]\frac{(a+1)(a+2)}{a+1}[/tex]

Cancel the factor (a + 1) on the numerator/denominator

= a + 2 ← quotient

Answer:

S>6

Step-by-step explanation:

Let us suppose the distance walked by Hanna and swati is represented by H and S.

And total distance travelled is D

D=H+S

D>14

H+S>14

Given H=8

8+S>14

S>6

Hence swati walked more than 6 miles

Answer: The percent of students have scored between 60 and 65 points is 34.13%

Step-by-step explanation:

Given : The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation of 5 points.

i.e. [tex]\mu=60\ \ \ \sigma=5[/tex]

Let x denotes the points obtained by students of a class in a test .

Now , the probability that the students have scored between 60 and 65 points :-

[tex]P(60<x<65)=P(\dfrac{60-60}{5}<\dfrac{x-\mu}{\sigma}<\dfrac{65-60}{5})\\\\= P(0<z<1)\ \ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\= P(z<1)-P(z<0.5)\ \ \ [\because\ P(z_1<Z<z_2)=P(Z<z_2)-P(Z<z_1)]\\\\=0.8413-0.5=0.3413[/tex]

[tex]=34.13\%[/tex]

Hence, the percent of students have scored between 60 and 65 points is 34.13%.

Answer:

What parabola tool?

Step-by-step explanation:

I went ahead and graphed the quadratic function however, you should learn how to graph it yourself the way they are asking you to using the "parabola tool", because I cant really show you my steps in graphing it since I don't know what your parabola tool is.

Sorry

The total amount that all three friends have is $84.

Let's assume that Ami, Jan, and Toy have x, y, and z dollars respectively. After the first redistribution, we know that:

x - a = 2(y + z)

y + a = 2(x + z)

z + a = 2(x + y)

where a is the amount of money that Ami gives to Jan and Toy.

Solving these equations, we get:

x = 5z - 4a

y = 5z - 6a

z = z

After the second redistribution, the new amounts are:

x + b = 2(y + c)

y - b + c = 2(x + c)

z + b + c = 2(x + y)

where b is the amount that Jan gives to Ami and Toy, and c is the amount that Toy gives to Ami and Jan.

Solving these equations, we get:

x = 14c

y = 11c

z = 6c

Finally, after the third redistribution, the new amounts are:

x + 2d = 2(y + 2d)

y + 2d = 2(x + 2d)

z - 2d + 2c = 2(x + y)

where d is the amount that Toy gives to Ami and Jan.

Solving these equations, we get:

x = 8d

y = 10d

z = 18d

Since we know that z = $36, we can solve for d and get d = $2. Therefore, the total amount that all three friends have is:

x + y + z = 8d + 10d + 36 = $84.

To know more about Equations here

https://brainly.com/question/30581870

#SPJ2

Answer:

[tex]\large\boxed{y=-\dfrac{7}{3}x+4}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept (0, b)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points:

(0, 4) → b = 4

and (3, -3)

Substitute:

[tex]m=\dfrac{-3-4}{3-0}=\dfrac{-7}{3}\\\\y=-\dfrac{7}{3}x+4[/tex]

Answer:

The correct answer option is D. 5.

Step-by-step explanation:

We are given the following expression where 4 is to be divided by a fraction 1/5:

[tex] 4 [/tex] ÷ [tex]\frac{1}{5}[/tex]

This can also be written as:

[tex]\frac{4}{\frac{1}{5} }[/tex]

Now to find the quotient of this, we will take the reciprocal of the fraction in the denominator to change it into multiplication.

[tex]4 \times \frac{5}{1}[/tex]

Therefore, ignoring the 1 in denominator, we can simply multiply 4 by 5.

Answer:

Hi there!

The answer is last one: 5

Step-by-step explanation:

When ever you are dividing a number by a fraction you always flip the fraction and multiply it, another way of saying it is multiplying by its reciprocal.

Answer:

A

Explanation:

In image A the image becomes smaller but doesn't change shape which is what dilation is supposed to be.

Answer:

Option A

Step-by-step explanation:

Answer:

The answer would be, both A. and B.

Answer:

both a and b

Step-by-step explanation:

Answer:

See attachment

Step-by-step explanation:

When the graph of the given function is flipped over the line [tex]y=x[/tex], the coordinates will swap.

The mapping for a reflection in the line [tex]y=x[/tex] is [tex](x,y)\to(y,x)[/tex].

We can observe that one portion of the graph is in the first quadrant [tex](x,y)[/tex]. When we flip this part we will get [tex](y,x)[/tex], which is still in the first quadrant.

Also, when we flip the portion of the graph in the second quadrant (-x,y), we will obtain (y,-x), which is standing for all coordinates in the fourth quadrant.

The image is shown in the attachment.

ANSWER

The system consists of parallel lines. Both lines have the same slope.

EXPLANATION.

The first equation is

[tex]y = \frac{1}{3} x - 4[/tex]

This equation is in the slope-intercept form.

The second equation is

[tex]3y - x = - 7[/tex]

We write this one too in slope-intercept form so that we can make comparison.

[tex] \implies \: y = \frac{1}{3} x - \frac{7}{3} [/tex]

We can see that both equations have slope

[tex]m = \frac{1}{3} [/tex]

This means the two lines are parallel.

The two lines have different y-intercepts.

Two parallel lines with different y-intercepts will never meet.

The lines will never intersect.

Answer:

The true statements are:

- The system consists of parallel lines

- Both lines have the same slope

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

  where a is the coefficient of x , b is the coefficient of y and

  c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

   solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

  a is the coefficient of x , b is the coefficient of y and c is the

  numerical term

* Lets solve the problem

∵ The system of equation is:

   y = 1/3 x - 4 ⇒ (1)

   3y - x = -7 ⇒ (2)

- Lets put equation (1) in the form of equation (2)

∵ y = 1/3 x - 4 ⇒ multiply both sides by 3

∴ 3y = x - 12 ⇒ subtract x from both sides

∴ 3y - x = -12

∴ Equation (1) is 3y - x = -12

∵ Equation (2) is 3y - x = -7

∵ The coefficients of x and y in the two equation are equal

∵ The numerical terms in the two equations are not equal

∴ The equations have no solution because their lines are parallel

∵ The parallel lines have same slope

* The true statements are

- The system consists of parallel lines

- Both lines have the same slope

Answer:

a=1, b = -3, c=-2

Step-by-step explanation:

The quadratic equation is in the form

a[tex]x^{2}[/tex] + bx +c = 0

Using the given equation

1[tex]x^{2}[/tex] -3x -2 = 0

We can see that

a=1  b=-3  c=-2

Answer:

about A+=+2000%281%2B+0.023%2F1%29%5E%281%2A18%29+=+2000%2A1.023%5E18= $3,011.56 thats my math

Step-by-step explanation:

Answer:

$3,698.50

Step-by-step explanation:

When making a compound interest rate this means that the interests generated are taken into consideration when creating new interests in the next period, now there are 4 quarterly periods on a year, this means there are 88 periods in the 22 years that the account will grow, you just have to do the math:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where n is the number of cycles per year and nt is the number of cycles over the years.

We just have to put the values into the formula:

[tex]A=500(1+\frac{.092}{4})^{22*4}[/tex]

[tex]A=500(1+\frac{.092}{4})^{88}[/tex]

[tex]A=$3,698.50[/tex]

Answer:

C

Step-by-step explanation:

x-4 is zero when x=4

so the one that contains the factor (x-4)

C

Answer:

if it was 102 when he woke

e up and lowered then it will be 99 degree fahrenheit then

Final answer:

Steve's temperature decreased by 3 degrees from the original 102 degrees F, which means his temperature two hours later was 99 degrees F.

Explanation:

The student's question involves a basic mathematical operation, specifically subtraction, used to determine a change in temperature over time. Steve originally has a temperature of 102 degrees Fahrenheit. After two hours, his temperature has decreased by 3 degrees.

To find the new temperature, we subtract the decrease from the original:
102 degrees F - 3 degrees F = 99 degrees F.

So, Steve's temperature two hours later would be 99 degrees Fahrenheit.

Answer:

m(h) = 5.25h

$11.81 for 2 hours and 15 minutes

Step-by-step explanation:

Answer:

[tex]\frac{16x^2+48x}{8x} = 2x+6\\\frac{56x^2-14x}{7x} = 8x-2\\\frac{18x^2+15x}{3x}=6x+5\\\frac{20x^2-32x}{4x}=5x-8[/tex]

Step-by-step explanation:

We will solve the division one by one:

[tex]\frac{16x^2+48x}{8x} = \frac{8x(2x+6)}{8x} = 2x+6\\\frac{56x^2-14x}{7x}=\frac{7x(8x+2)}{7x}=8x+2\\\frac{18x^2+15x}{3x} =\frac{3x(6x+5)}{3x} = 6x+5\\\frac{20x^2-32x}{4x}=\frac{4x(5x-8)}{4x}=5x-8[/tex]

a)

[tex]\dfrac{16x^2+48x}{8x}[/tex]

Since, both the terms in the numerator have a common factor as: 8x.

Hence, we take out common 8x from the numerator term and hence it could be written as:

[tex]\dfrac{8x(2x+6)}{8x}[/tex]

i.e.

[tex]=2x+6[/tex]

b)

[tex]\dfrac{56x^2-14x}{7x}[/tex]

Since, both the terms in the numerator have a common factor as: 14x.

Hence, we take out common 14x from the numerator term and hence it could be written as:

[tex]=\dfrac{14x(4x-1)}{7x}\\\\=2(4x-1)\\\\=8x-2[/tex]

c)

[tex]\dfrac{(18x^2+15x)}{3x}[/tex]

Since, both the terms in the numerator have a common factor as: 3x.

Hence, we take out common 3x from the numerator term and hence it could be written as:

[tex]=\dfrac{3x(6x+5)}{3x}\\\\=6x+5[/tex]

d)

[tex]\dfrac{20x^2-32x}{4x}[/tex]

Since, both the terms in the numerator have a common factor as: 4x.

Hence, we take out common 4x from the numerator term and hence it could be written as:

[tex]=\dfrac{4x(5x-8)}{4x}\\\\=5x-8[/tex]

Answer:

-4/3

Step-by-step explanation:

If the lines are parallel, they have the same slope.

Since the red line has a slope of -4/3, the green line will have a slope of -4/3

Answer:

13. part a

What Lenora did wrong is that when you multiply 2 terms, the exponents are added not multiplied. It would be 10x^4y^6

13. part b

2xy^4

when the terms are divided, the exponents are subtracted

Answer:

13. part a

What Lenora did wrong is that when you multiply 2 terms, the exponents are added not multiplied. It would be 10x^4y^6

13. part b

2xy^4

when the terms are divided, the exponents are subtracted

Step-by-step explanation:

Answer:

25 gallons.

Step-by-step explanation:

The container that holds the water for the football team is 1/2 full.

After pouring out 5 gallons of water, it is 3/10 full.

The proportion that was poured out is [tex]\frac{1}{2}[/tex] - [tex]\frac{3}{10}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]

[tex]\frac{1}{5}[/tex] of the water in the container is equal to 5 gallons

The container therefore holds: 1 × 5 ÷ [tex]\frac{1}{5}[/tex] = 5 × 5 = 25 gallons.

Final answer:

The total capacity of the container is calculated to be 25 gallons, found by using the information that 1/2 to 3/10 of the capacity equals a 5 gallon difference.

Explanation:

We have been given that the container is initially 1/2 full and becomes 3/10 full after pouring out 5 gallons of water.

To find out the total capacity of the container, we can set up a proportion where the difference between the two fractions (1/2 and 3/10) represents the 5 gallons removed.

First, we find a common denominator for the two fractions, which is 10. Now we can say:

The difference between 5/10 and 3/10 is 2/10, which equates to the 5 gallons poured out. Thus, 2/10 of the container's capacity is 5 gallons, and we can find the full capacity (10/10) by multiplying the 5 gallons by 5 (since 2 × 5=10).

So, the container's total capacity is 5 gallons × 5 = 25 gallons.