A polynomial function has a zeros at -1,2,7 and all are multiplicity of 1 write a function in standard form that could represent this function

The product of 4xy and (y^2 + 2x) is calculated by distributing 4xy to the terms in the parenthesis, resulting in the answer 4xy^3 + 8x^2y.

The question is asking to calculate the product of 4xy and (y^2 + 2x). To solve it, you can distribute 4xy to the terms inside the parenthesis. This gives you:

Therefore, the product of 4xy and (y^2 + 2x) is 4xy^3 + 8x^2y.

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I think it is the first.I would choose that.

Answer:

9/6 and 3/2

Step-by-step explanation:

Let's remember the definition of "constant of proportionality":

The constant of proportionality is the constant value of the ratio k of two proportional quantities x and y; usually written y = kx.

In our case, x is the cups of milk and y is the cups of pancake mix. We need to find out k.

9 = k*6

9/6 = k

If we simplified the fraction, we have 3/2 (is equivalent to 9/6).

The correct answers are 3/2 and 9/6.

Answer: 13/1, 195/15, 130/10

Step-by-step explanation: The easiest way to solve this problem is to work your way though each of the options. 13/1 is the original reduced by 5, 195/5 is both multiplied by 3 and 130/15 is both multiplied by 2. The other two options do not have a way to multiply or divide them to get the original number.

Answer:

Step-by-step explanation:

65/5 is reduceable to 13/1.  So is 195/15.  So is 130/10.  All of these ratios are proportional to 13/1.

Answer:

81

Step-by-step explanation:

To evaluate substitute x = - 2 into the expression

4( - 2)² - 20(- 2) + 25

= (4 × 4) + 40 + 25 = 16 + 40 + 25 = 81

Answer:

  see attached

Step-by-step explanation:

A graphing calculator can easily show you a graph of these equations. (see attached)

__

If you want to graph them by hand, it is convenient to make use of the x- and y-intercepts. For an equation in standard form each of the intercepts is found by dividing the constant by the coefficient of the variable

  ax +by = c . . . . . . equation of a line

  x-intercept: c/a

  y-intercept: c/b

__

For the first equation, the intercepts are ...

  x-intercept: 6/3 = 2, point (2, 0)

  y-intercept: 6/1 = 6, point (0, 6)

For the second equation, the intercepts are ...

  x-intercept: 12/-3 = -4, point (-4, 0)

  y-intercept: 12/-4 = -3, point (0, -3)

In each case, the line can be drawn through the plotted intercept points.

Step-by-step explanation:

The prime factorization of 12 is

 12 = 2²×3

To find denominators suitable for your purpose, you need to group the factors

 {1, 2, 2, 3}

into two groups with different products that share at least one of the numbers that is not 1.

For example, your grouping could be (2, [2), 3], where a 2 is shared. That is, your denominators could be 2*2=4 and 2*3=6.

Another possible grouping is (1, [2), 2, 3], giving rise to denominators of 2 and 12.

Yet another is (1, [3), 2, 2], for denominators of 3 and 12.

Using the first grouping, a pair of mixed numbers matching your requirement might be

 1 3/4, 5 1/6

Answer:

B

Step-by-step explanation:

The volume (V) of a rectangular prism is

V = lbh

where l is the length, b the width and h the height

We are looking for 3 values that multiply together to give 10

Considering each of the options

A

100 × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = 25 ≠ 10

B

10 × [tex]\frac{1}{2}[/tex] × 2 = 10

C

5 × 2[tex]\frac{1}{2}[/tex] × 2[tex]\frac{1}{2}[/tex] = 31.25 ≠ 10

D

10 × 10 × [tex]\frac{1}{2}[/tex] = 50 ≠ 10

B is the only possible dimensions for the prism

Answer: y = −2

Step-by-step explanation:

* Hopefully this helps:) Mark me the brainliest:)

Answer:

D

Step-by-step explanation:

(0.5, 0) and (0, -2)

Answer:

The volume of the rectangular prism is [tex]V=442.341\ cm^{3}[/tex]

The surface area of the rectangular prism is [tex]SA=384.62\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

[tex]V=LWH[/tex]

substitute the values

[tex]V=(12.7)(8.1)(4.3)=442.341\ cm^{3}[/tex]

The surface area of the rectangular prism is equal to the area of its six faces

so

[tex]SA=2(8.1)(4.3)+2(12.7)(8.1)+2(12.7)(4.3)=384.62\ cm^{2}[/tex]

20; 3g*h. Hd. So, adding in the. Variables. Then 20

Answer:B) 10$

Usatestprep

Answer:

The equation in point slope form is y= 2/3x+13/3

Step-by-step explanation:

In order to find the equation you need to find the slope, to find the slope you need to graph the two points and use the rise over run method, after using this you can conclude that the slope (m) is 2/3.

To find the y intercept you should plug in one of the points into the point slope formula which is y=mx+b.

Using the first point I get the equation 5=2/3(1)+b, next you isolate the b to get the equation, -b=2/3-5

Then write all the numerators above the common denominator getting 2-15/3

With this you get -b=-13/3 and then you can divide both sides by -1 to get a positive b.

Plug all of these into y=mx+b getting y=2/3x+13/3

Answer:

0.1 repeating

Step-by-step explanation:

To write 5/45 as a decimal you have to divide numerator by the denominator of the fraction.  

We divide now 5 by 45 what we write down as 5/45 and we get 0.11111111111111  

divide 5 by 45 to find the decimal:

5 / 45 = 0.111 ( the one keeps repeating.

When a number in a decimal is repeating you put a line over it.

The answer would be 0.1 with a line over the one, which is the 3rd answer.

Answer:

79

Step-by-step explanation:

A square that has side length [tex]l=2 ft[/tex] has area [tex]2^2=4ft^2[/tex].

A circle that has a diameter 20 feet has area [tex]A=\frac{\pi d^2}{4}[/tex]

We substitute the diameter into the formula to obtain;

[tex]A=\frac{\pi \times 20^2}{4}=100\pi ft^2[/tex]

The number of squares that has area 4 feet square that can fit into a circle with area [tex]100\pi ft^2[/tex] is

[tex]=\frac{100\pi}{4}=25\pi=78.5398[/tex]

When we round to the nearest whole number; we have 79 squares.

Approximately 79 squares of size 2 ft by 2 ft can fit into a circle with a diameter of 20 feet.

To accurately determine how many 2ft by 2ft squares can fit into a circle with a diameter of 20 feet, let's perform a step-by-step calculation:

1. Calculate the area of the circle:

 [tex]\[ \text{Area of the circle} = \pi r^2 \][/tex]

  Given the diameter is 20 feet, the radius r is 10 feet:

[tex]\[ \text{Area of the circle} = \pi \times 10^2 = 100\pi \approx 314.16 \text{ square feet} \][/tex]

2. Calculate the area of one 2ft by 2ft square:

[tex]\[ \text{Area of one square} = 2 \times 2 = 4 \text{ square feet} \][/tex]

3. Calculate the theoretical maximum number of squares that can fit into the circle by dividing the area of the circle by the area of one square:

[tex]\[ \text{Theoretical number of squares} = \frac{\text{Area of the circle}}{\text{Area of one square}} = \frac{314.16}{4} \approx 78.54 \][/tex]

4. Round to the nearest whole number:

[tex]\[ \text{Rounded number of squares} = 79 \][/tex]

Answer:

? = 10

Step-by-step explanation:

26 - 4 = 12 + ?

22 = 12 + ?

10 = ?

Answer:

10

Step-by-step explanation:

Let the missing number be x.

Then,

26 - 4 = 12 + x

12 + x = 22

x + 12 - 12 = 22 - 12 ( subtract 12 from both sides to single x in LHS)

x        = 10

∴ the missing number is 10.

Hope this helped you :)

Answer:

See explanation

Step-by-step explanation:

1. Draw the dotted line y=-x. This line must be dotted, because the inequality y<-x is with sign < (without notion "or equal to"). Then shade the region that contains all values of y that are less than -x (bottom part that is shaded in red on the attached diagram).

2. Draw the solid line y=x-2. This line must be solid, because the inequality y≤x-2 is with sign ≤ (with notion "or equal to"). Then shade the region that contains all values of y that are less or equal to x-2  (bottom part that is shaded in blue on the attached diagram).

3. Their common part (region that is shaded in both red and blue colors) represents both inequalities.

It's this one, just did the test.

Answer:

Step-by-step explanation:

Look at the picture.

The formula of a slope:

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

From the graph we have the points (0, 4) and (-2, -2). Substitute:

[tex]m=\dfrac{-2-4}{-2-0}=\dfrac{-6}{-2}=3[/tex]

Answer:

-3

Step-by-step explanation:

Answer:

 2.1125 feet

Step-by-step explanation:

the vertex will be the maximum value of this parabola.  

the general form for a quadratic equation is:  ax² + bx + c, for this equation,

a = -0.2, b = 1.3, and c = 0

find the vertex by first using the formula x = -b/(2a)

x = -1.3/(2*-0.2)

  x = -1.3/-0.4

    x = 3.25

Now plug in that x value to find the actual maximum height

y = -0.2(3.25)² + 1.3(3.25)

    y = -0.2(10.5625) + 4.225

          y = -2.1125 + 4.225

                  y = 2.1125 feet

The maximum height the mouse can jump is approximately 2.1125 feet.

To find the maximum height the mouse can jump, you need to determine the vertex of the parabolic path because the vertex represents the highest point on the path. The equation of the path is given as:

y = -0.2x^2 + 1.3x

To find the vertex, you can use the formula:

x_vertex = -b / (2a)

Where "a" is the coefficient of the x^2 term, and "b" is the coefficient of the x term in the equation.

In your equation, a = -0.2 and b = 1.3. Plug these values into the formula:

x_vertex = -1.3 / (2 * (-0.2))

x_vertex = -1.3 / (-0.4)

x_vertex = 3.25

Now that you have the x-coordinate of the vertex, you can find the corresponding y-coordinate by plugging it back into the equation:

y = -0.2x^2 + 1.3x

y_vertex = -0.2(3.25)^2 + 1.3(3.25)

Calculate:

y_vertex = -0.2(10.5625) + 4.225

y_vertex = -2.1125 + 4.225

y_vertex = 2.1125

for such more question on height

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By setting up a system of equations and solving it, we find that Janet has 8 five dollar bills and 12 one dollar bills in her wallet.

The student's question requires solving a system of linear equations to find out how many of each type of bill Janet has.

To solve this problem, let's use two variables: x for the number of five dollar bills and y for the number of one dollar bills.

Janet has 20 bills in total which gives us the first equation x + y = 20.

She also has a total of $52, so the value of her five dollar bills plus the value of her one dollar bills equals 52, providing us our second equation 5x + y = 52.

To solve the system of equations, we can use substitution or elimination.

Let's use substitution by expressing y from the first equation: y = 20 - x.

Now we can substitute y in the second equation with 20 - x, which after simplification gives 5x + 20 - x = 52, and then 4x = 32.

Dividing by 4 gives us x = 8.

This means Janet has 8 five dollar bills.

Now we can substitute x back into y = 20 - x to find out y, which gives us y = 20 - 8 = 12.

So, Janet has 12 one dollar bills.

Final answer:

Janet has 8 five dollar bills and 12 one dollar bills in her wallet. This was determined by setting up a system of equations and solving for the number of $5 and $1 bills based on the given total number of bills and the total cash amount.

Explanation:

To solve the problem concerning the number of $5 and $1 bills Janet has, you can set up a system of equations. Let's indicate the number of $5 bills as f and the number of $1 bills as o. We're given two pieces of information: the total number of bills is 20, and the total amount of money is $52. This can be translated into two equations:

f + o = 20 (total number of bills)

5f + o = 52 (total amount of money in dollars)

To find out how many of each bill Janet has, subtract the first equation from the second one:

5f + o - (f + o) = 52 - 20

5f - f = 52 - 20

4f = 32

f = 32 / 4

f = 8

Janet has 8 five dollar bills. To find the number of one dollar bills, subtract 8 from the total number of bills:

o = 20 - 8

o = 12

Janet has 12 one dollar bills.

[tex] \cos(A) + \cos( B ) + \cos(C) \\ = 2 \cos( \frac{A + B}{2} ) \cos( \frac{ A- B}{2} ) + 1 - 2 { \sin }^{2} \frac{C}{2} \\ = 1 + 2\cos( \frac{\pi - C}{2} ) \cos( \frac{A - B}{2} ) - 2 { \sin }^{2} \frac{C}{2} \\ = 1 + 2 \sin \frac{C}{2} \cos( \frac{A - B}{2} ) - 2 { \sin }^{2} \frac{C}{2} \\ = 1 + 2 \sin \frac{C}{2} [ \cos( \frac{A - B}{2} ) - \sin \frac{C}{2}] \\ = 1 + 2 \sin \frac{C}{2} [ \cos( \frac{A - B}{2} ) - \cos( \frac{A + B}{2} )] \\ = 1 + 2 \sin\frac{C}{2} \times 2 \sin( \frac{ \frac{A + B}{2} +\frac{A - B}{2} }{2} ) \sin( \frac{ \frac{A + B}{2} - \frac{A - B}{2} }{2} ) \\ = 1 + 4 \sin \frac{A}{2} \sin \frac{B}{2} \sin \frac{C}{2}[/tex]

I think the answer is (C)?

Answer:

C

Step-by-step explanation:

The area (A) of a circle is calculated using the formula

A = πr² ← r is the radius = 17.5

A = π × 17.5² = π × 306.25 ≈ 962 m² → C

Answer:

4/6, 6/9, 8/12, 10/15

A fraction that is equivalent to [tex]\frac{2}{3}[/tex] is [tex]\frac{20}{30}[/tex]

Although these fractions have different numerators and denominators, they still have the same value because they equal each other.

To find the unit rate divide the total miles by the total hours:

225 / 4 = 56.25 miles per hour

Similar is when a figure has the same shape, but different size.

Answer: 3, 1, 2

Answer:

1,2, and 5

Step-by-step explanation:

This can be determined by looking at the graph

Answer:

The correct answer would be "Animals with shells and fish appeared on earth before land plants." and "Humans were the last to appear at this site."

Step-by-step explanation:

On the graph, it shows that the land plants were a little further ahead in time from the shelled animals and the fish, And the humans were shown last, even after the plants.

Answer: to find f(-4)

Answer:

A

Step-by-step explanation:

y = 4 is a horizontal line parallel to the x- axis with a slope of zero

A line perpendicular to it is a vertical line parallel to the y- axis

The equation of a vertical line is x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 2, 1) with x- coordinate - 2, hence

x = - 2 ← equation of perpendicular line → A

Answer:

A. [tex]x=-2[/tex]

Step-by-step explanation:

We are asked to find the equation that is perpendicular to line [tex]y=4[/tex] and passes through the point [tex](-2,1)[/tex].

We can see that our given equation is a horizontal line, which crosses y-axis at point [tex](0,4)[/tex].

Every vertical line is perpendicular to a horizontal line. We know that equation of a vertical line is in form [tex]x=a[/tex], which crosses x-axis at point [tex](a,0)[/tex].

Since we need to find the equation that passes through point [tex](-2,1)[/tex], so our required equation will pass x-axis at [tex]-2[/tex].

Therefore, our required equation would be [tex]x=-2[/tex] and option A is the correct choice.

Answer:

y=2x+(-7)

Step-by-step explanation:

y=2x+c

solve for c

-1=2(3)+c

-1=6+c

-6-1=c

c=-7

y=2x+(-7)

Answer:

[tex]\large\boxed{y+1=2(x-3)}[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

We have the slope m = 2 and the point (3, -1). Substitute:

[tex]y-(-1)=2(x-3)\\\\y+1=2(x-3)[/tex]

Answer:

C.

Step-by-step explanation:

You have to find the area by doing b×h=a.