A polynomial function can be written as (x + 2)(x + 3)(x − 5). What are the x-intercepts of the graph of this function? (1 point) (2, 0), (3, 0), (−5, 0) (−2, 0), (−3, 0), (5, 0) (2, 0), (3, 0), (5, 0) (−2, 0), (−3, 0), (−5, 0)

- This is what it is in vertex form, (-1/4,-1/2).

Answer:

9

Step-by-step explanation:

The coefficient is the number directly next to the variable, in this case, the variable being y, and the number being 9.

In the question:

9y + 5,

9 is the coefficient

y is the variable

5 is a constant (does not change).

Note that the coefficient and constant cannot change, but the value of the variable (y) can vary (hence the name).

~

The coefficient in the expression is 9.

The coefficient of a term in an algebraic expression is the number that is multiplied by the variable in the term.

To find the coefficient of a term, you can follow these steps:

1. Identify the variable in the term.

2. Look for the number that is multiplied by the variable.

3. That number is the coefficient of the term.

In the expression 5+ 9y, the variable is y. The number that is multiplied by y is 9.

Therefore, the coefficient in the expression is 9.

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The length of the hypotenuse of a right triangle formed inside the unit circle with a radius of 1 is simply 1.

The expression equal to the length of the hypotenuse of a right triangle formed inside the unit circle, with a radius of 1, can be found using the Pythagorean theorem. In a unit circle, the hypotenuse of any right triangle formed by a radius will always have a length of 1, because the radius of a unit circle is 1 by definition. So, the expression you are looking for is simply 1, since the hypotenuse in this case is the radius of the circle.

Answer:

Income tax

Step-by-step explanation:

The more money someone earns, the higher their income, and the more government expects them to pay in taxes.

Answer:

Dependent variable is a response variable

Step-by-step explanation:

Search up definition for response variable and it literally saids it's another word for dependent variable haha

Answer: Y

Step-by-step explanation:

A p e x

Answer:

3.28084

hope this helps

Answer:

3.28

Step-by-step explanation:

1 cm = 0.0109361 yards

Multiply by 300

300 cm = 3.28083 yards

Answer:

252 cm²

Step-by-step explanation:

Area of a rectangle is width times length:

A = WL

If the width and length increase by a factor of 1.5:

A = (1.5 W) (1.5 L)

A = 2.25 WL

So the area increases by a factor of 2.25.

2.25 × 112 cm² = 252 cm²

Answer:

[tex]r=\frac{9\cos \theta}{\sin^2 \theta}[/tex]

Step-by-step explanation:

The given equation in rectangular coordinates is;

[tex]y^2=9x[/tex]

We use the relation;

[tex]x=r\cos \theta[/tex]

and

[tex]y=r \sin \theta[/tex]

This implies that;

[tex](r \sin \theta)^2=9(r \cos \theta)[/tex]

[tex]r^2 \sin^2 \theta=9r \cos \theta[/tex]

Divide through by r to get;

[tex]r \sin^2 \theta=9\cos \theta[/tex]

Divide both sides by [tex]\sin^2 \theta[/tex]

[tex]r=\frac{9\cos \theta}{\sin^2 \theta}[/tex]

Answer:

[tex]cos(A) =\frac{3}{5}=0.6[/tex]

Step-by-step explanation:

By definition the cosine of an angle is the quotient between the side adjacent to the angle and the hypotenuse.

In other words:

[tex]cos (A) = \frac{adjacent}{hypotenuse}[/tex]

In this triangle the length of the side adjacent to the angle A is 30, and the length of the hypotenuse is 50

So:

[tex]cos(A) = \frac{30}{50}[/tex]

Simplifying we have that:

[tex]cos(A) = \frac{3}{5}=0.6[/tex]

Answer:

Final answer is [tex]\cos\left(A\right)=\frac{3}{5}[/tex].

Step-by-step explanation:

Using given information in the picture, we need ot find the missing value of Cos(A).

Apply formula of cosine function which is :

[tex]\cos\left(A\right)=\frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos\left(A\right)=\frac{30}{50}[/tex]

[tex]\cos\left(A\right)=\frac{3}{5}[/tex]

Hence final answer is [tex]\cos\left(A\right)=\frac{3}{5}[/tex].

Answer: 6

Step-by-step explanation:

The circumference is always x2 of the radius

Answer:

A firm determines its profit by subtracting "Total Cost" from "Total Revenue".

Step-by-step explanation:

Given statement is "A firm determines its profit by subtracting _____ from ______. Now we need to fill the blanks with suitable words.

We know that there are some initial costs associated with production of any product. So to get the profit, we need to subtract the cost that that is spent during production of the product from total sales.

Hence final answer can be written as:

A firm determines its profit by subtracting "Total Cost" from "Total Revenue".

Answer:

8:20

Step-by-step explanation:

It says brown tiles to total tiles.

12+8=20

Final answer:

The ratio of 12 brown tiles to 20 total tiles is 3:5, indicating that for every 3 brown tiles, there are 5 total tiles in that section.

Explanation:

To compare the number of brown tiles to the total number of tiles in one section, use the ratio:

12 brown tiles : 20 total tiles = 12 : 20 = 3 : 5

This ratio simplifies to 3:5, showing that for every 3 brown tiles, there are 5 total tiles in that section. The ratio of 12 brown tiles to 20 total tiles is 3:5, indicating that for every 3 brown tiles, there are 5 total tiles in that section.

The line perp. With this equation is y=-5/3+4x

Answer:

4/10= 0.4

3 1/10= 3.1

7/10= 0.7

6 5/10= 6.5

9/10= 0.9

Step-by-step explanation:

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=12\\ h=6 \end{cases}\implies V=\pi (12)^2(6)\implies \stackrel{\textit{volume of A}}{V=864\pi }[/tex]

so their difference is 864π - 648π = 216π.

if we take 864π to be the 100%, what is 216π off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 864\pi &100\\ 216\pi &x \end{array}\implies \cfrac{864\pi }{216\pi }=\cfrac{100}{x}\implies 4=\cfrac{100}{x} \\\\\\ 4x=100\implies x=\cfrac{100}{4}\implies x=25[/tex]

Answer:

A- y=0.5x+3

Step-by-step explanation:

Answer:

The answer is 9/11.

Step-by-step explanation:

To find the answer you'd first add up how many patients you have:

80+10+20 = 110.

Now find out that how many patients are taking a real drug, which is represented by 80+10 = 90.

So, the probability of a patient NOT getting a placebo is 90/110

Simplified would be 9/11

Thus the answer is 9/11....

It is -1, you first make the -1 positive but then the negative sign outside makes that 1 turn -1

The value of the absolute numerical expression will be negative 1.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The expression is given below.

⇒ - |- 1|

If the mode is removed, then the value inside the mode comes out to be positive. Then the value of the expression will be calculated as,

⇒ - |- 1|

⇒ - (1)

⇒ - 1

The value of the absolute numerical expression will be negative 1.

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X^2+4x+4+12x+24-14=0

x^2+16x+14=0

x= -16 ± √(16)^2-4(1)(14) /2(1)

=-16± √200   /2

-16 ± 2√50    /2

-16 ± 10√2   /2

-8 ± 5√2  

Answer: A) x=-8±5[tex]\sqrt{2}[/tex]

Step-by-step explanation: to find the solutions of the given equation, we need to use the substitution u=x+2, so the equation would now be:

[tex]u^{2} +12u-14=0[/tex]

the quadratic formula is:

u=(-b±[tex]\sqrt{b^{2}-4ac }[/tex])/2a

in this case a=1;  b=12;  and c=-14

so replacing the values it remains:

u=(-12±[tex]\sqrt{12^{2}-4*1*(-14) }[/tex])/2*1

u=(-12±[tex]\sqrt{144+56}[/tex])/2

u=(-12±[tex]\sqrt{200}[/tex])/2              

we can write 200 as 100*2 and the square root of 100 is 10:

u=(-12±10[tex]\sqrt{2}[/tex])/2

u=-6±5[tex]\sqrt{2}[/tex]

and finally:

x=u-2

x=-6±5[tex]\sqrt{2}[/tex]-2

x=-8±5[tex]\sqrt{2}[/tex]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]2x-5 < 15[/tex]

Solve for the inequality

Adds 5 both sides

[tex]2x < 15+5[/tex]

[tex]2x < 20[/tex]

Divide by 2 both sides

[tex]x < 20/2[/tex]

[tex]x < 10[/tex]

The solution is the interval ------> (-∞,10)

All real numbers less than 10

In a number line , the solution is the shaded area at left of x=10 (open circle)

The graph in the attached figure

Answer:

To have an infinite number of solutions, the equations must graph the same line. That means the equations must be equivalent. To form an equivalent equation, use the properties of equality to rewrite the given equation in a different form. Add, subtract, multiply, or divide both sides of the equation by the same amount.

A system of two linear equations in two variables has an infinite number of solutions if the slope and y-intercept of the two lines is same.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line. If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that the equation is,

y = 2/3 x - 5

If the slope and y-intercept of the two lines are the same, a system of two linear equations in two variables has an infinite number of solutions.

The equations must graph the same line if there are infinitely many solutions. Therefore, the equations must be equal. The above equation may be rewritten in a different way using the equality principles to create an equivalent equation. Both sides of the equation should be increased, decreased, multiplied, or divided by the same quantity.

Thus, system of two linear equations in two variables has an infinite number of solutions if the slope and y-intercept of the two lines is same.

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ANSWER

10.9

EXPLANATION

We use the Altitude Theorem to determine the value of h.

According to the Altitude Theorem, the height, h is equal to the geometric mean of the two segment created by the leg of the altitude on the hypotenuse.

This implies that:

[tex] h= \sqrt{MP \times PO} [/tex]

That's,

[tex]h= \sqrt{(24- 7)7} [/tex]

[tex]h= \sqrt{17 \times 7} [/tex]

[tex]h= \sqrt{119} [/tex]

[tex]h= 10.9[/tex]

to the nearest tenth.

Answer:

The second one.

Step-by-step explanation:

The slope of the graph, -1/3, is going down from left to right because it is negative, so it is decreasing. Slope is the rise over run, so because the slope is -1/3 look for lines that go down 1 unit and across 3 at the same time (from one corner of a square to the other). Then, because your y-intercept is a 5, just look for your line to cross the y-axis at 5. And that's it.

The second graph is the graph of the linear equation y = - 1/3x + 5.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The given linear equation is  y = - 1/3x + 5

We need to select the graph of the equation.

The slope of the line is -1/3

y intercept is 5.

Let us find few points to determine the graph.

if x=0, then y=-1/3(0)+5=5

So (0, 5) is one of the point

if x=1, then y=-1/3(1)+5

=14/3

(1, 14/3)

if x=2, then y=-1/3(2)+5

=13/3

(2, 13/3)

if x=3, then y=-1/3(3)+5

(3, 4) is point.

Now let us check these points which satisfy the graph.

Hence, the second graph is the graph of the linear equation y = - 1/3x + 5.

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The correct answers are:

A. P = 58 and Q = 78

C. P = -78 and Q = -52

D. P = 58 and Q = -78

To determine which values of P and Q result in the equation Px + 52 = Qx - 78 having exactly one solution, we need to ensure that the coefficients of x on both sides are not equal. This means P should not be equal to Q.

The given equation is:

Px + 52 = Qx - 78

First, let's rearrange the terms to isolate x:

Px - Qx = -78 - 52

(P - Q)x = -130

For this equation to have exactly one solution, P - Q must be non-zero. Therefore, P - Q.

Let's evaluate each option:

A. P = 58 and Q = 78

- P - Q = 58 - 78 = -20

- Since -20 is not zero, this pair results in exactly one solution.

B. P = 52 and Q = 52

- P - Q = 52 - 52 = 0

- Since 0 is zero, this pair does not result in exactly one solution.

C. P = -78 and Q = -52

- P - Q = -78 - (-52) = -78 + 52 = -26

- Since -26 is not zero, this pair results in exactly one solution.

D. P = 58 and Q = -78

- P - Q = 58 - (-78) = 58 + 78 = 136

- Since 136 is not zero, this pair results in exactly one solution.

Answer:

See below

Step-by-step explanation:

(1) Create a table containing a few values of x and y

I chose x = -5, 0, and 5.

[tex]\begin{array}{rcc}& \mathbf{y = x + 6} & \mathbf{y = 3x - 2}\\\mathbf{x} & \mathbf{y} & \mathbf{y}\\-5 & 1 & -17\\0 & 6 & -2\\5 & 11 & 13\\\end{array}[/tex]

(2) Plot your points

Draw dots at the coordinates of each point ( Fig. 1).

(3) Draw the graph

Draw smooth lines through the points for each function.

Extend the lines in both directions to the edges of the plot area.

Your graphs should look like Fig. 2.

(4) Plot the solution

Note where the lines cross.

They appear to intersect at (4, 10).

Plot the point, and the finished graph should look like Fig. 3.

Answer:

(2, 4)

Step-by-step explanation:

Both equations have been solved for y, so to find x we need only set the equations = to each other:    y=-x+6   =  y=3x-2

Combining like terms, we get 4x = 8, and x = 2.  Substituting 2 for x in y = 3x -2, we get y = 3(2) - 2 = 4.

The solution is (2, 4).  If you were to graph these two lines, you'd find that they intersect at (2, 4).

You can FOIL (First, Outside, Inside, Last)

(3z+1)(4z+2)

First

(3z+1)(4z+2)

3z * 4z

[tex]12z^{2}[/tex]

Outside

(3z+1)(4z+2)

3z * 2

6z

Inside

(3z+1)(4z+2)

4z * 1

4z

Last

(3z+1)(4z+2)

2*1

2

Combine all the products of FOIL together

[tex]12z^{2}[/tex] + 6z + 4z + 2

Combine like terms

[tex]12z^{2}[/tex] + 10z + 2

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer: The answer is A

Step-by-step explanation: When you add 1/2+1/5+1/3 it equals 31/30 which when converted is equal to 1.033 which is less than 1 1/2.

Answer:

I think it may be C) 5.5

Step-by-step explanation:

well the question doesn't really give us anything to work with to find the exact answer but if we look at the triangle logically then we will figure out that JZ is smaller than JS. and if JS is 8.7 then we can't have JZ being longer than JS so option D is out. and the other two options are way too short to be the length of JZ. Therefore we have option C as our winner

Hope this helps

Answer:

135 square ft.

Step-by-step explanation:

To solve this equation, you need to find the area of this rectangle. Area is always base x height, or in this case, length x width. Now you multply your length, 15', by your width, 9', to get your answer, 135 square feet. When you multiply two measurments of the same unit together, you get square (units), which simply means that you multiplied two of the same unit of measurment together.

Answer:

64

Step-by-step explanation:

115 - 51 = 64

Answer:

66

Step-by-step explanation:

put them in order from least to greatest.

51, 51, 56, 58, 68, 72, 90, 101, 101, 111, 114, 115, 117

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is...

117-51=

66