What are the zeros of f(x) = (x − 5)(x − 4)(x − 2)?

Step-by-step explanation:

Hours of work- Alvin: 6 hours Theodore: 4.5 hours Simon: 1.25 hours

Answer: 36x41=1476

I hope I helped.

Answer:

36×41=1476

Step-by-step explanation:

Mental math :D

Answer:

12.I know that whole numbers go inside the integers circle, and that natural numbers (counting numbers) go inside the whole numbers circle. The irrational numbers circle is in its own category.]

13. It is true that 5 to the 2nd power is 25. So I guess you should just prove that it is true? The way they phrased the question was awkward.

Please mark brainliest! I would really appreciate it! :)

Answer:

Area of the walkway = 8x + 24

Step-by-step explanation:

Area of the total backyard = [tex]l\times b[/tex]

Area of total backyard = [tex](x+6)\times (x+4) = x^{2} +10x + 24[/tex]

Now, Area of the rectangular garden = [tex]l\times b[/tex]

Area of the rectangular garden = [tex]x (x+2) = x^{2} + 2x[/tex]

Now area of the walkway poured with concrete = Area of the backyard - Area of the rectangular garden

= [tex](x^{2} +10x +24) - (x^{2} +2x)[/tex]

= [tex]x^{2} + 10x +24 - x^{2} -2x[/tex]

= 8x + 24  

Answer:

Using the graph as your guide, complete the following statement.

The discriminant of the function is

Step-by-step explanation: Remember a parable of the form f(x) = a[tex]a x^{2} + bx + c[/tex], satisfy:

(1) has only one root if and only if [tex] b^2 - 4ac = 0[\tex]

(2) has two real roots if and only if  [tex] b^2 - 4ac > 0[\tex]

(3) has two complex roots if and only if  [tex] b^2 - 4ac < 0[\tex].

The number b^2 - 4ac is called the discriminant of the parable f(x).

From the graph we can see that the parable has only one root approx in x =1. Thus from point (1) we can conclude that the discriminant should be zero.

PD: a root of a polynomial f(x) is a number a such thast f(a) =0.

The answer is A.

Answer: The answer is A because the vertex lies on the x axis which makes it zero.

Answer= A

Answer:

+ 1 or - 1

Step-by-step explanation:

[tex]\sqrt{1}[/tex] = ± 1

Since 1 × 1 = 1 and - 1 × - 1 = 1

Answer:

4000×.06×2 which is 480

Step-by-step explanation:

You must times the money by the ir and then the year. Or money times the year then ir, it wouldn't really matter as long you times the three of them together

Answer:

x = - 6

Step-by-step explanation:

Reading from y = 6 on the y- axis

There are 2 points where y = 6 intersects with the graph, that is

x = - 2 and x = - 6

Answer:

111÷125

Step-by-step explanation:

0.888 as fraction is 888÷1000

Divide by 2 u get

444÷500 furher divide by 2

222÷250

and last divide

111÷125 and u cant change into more lower fraction so the answer is 111÷125

The required fraction of the number 0.888 is 111 / 125.

Given that,
To determine the  0.888 as a fraction, in simplest form.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
Given number = 0.888
Fraction = 0.888 = 888 / 1000
Faction = 111 / 125

Thus, the required fraction of the number 0.888 is 111 / 125.

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Answer:

9(x + 7)= 27

9x + 63 = 27

9x = -36

x = -4

Step-by-step explanation:

divide exponent by 4

since the remainder is zero, the equation can be rewritten as i^0 and any number to the 0 power is 1

Answer:

1

Step-by-step explanation:

The pattern of imaginary numbers taken to exponents goes as thus:

i^1= i

i^2= -1

i^3= -i

i^4= 1

To solve this problem, divide the exponent by 4:

32/4= 8

Now rewrite i^32 as (i^4)^8  

(When exponents are raised by an exponent you multiply them together)

i^4=1, this is your answer

Answer:

Step-by-step explanation:

[tex]i=\sqrt{-1}\to i^2=-1\\\\(5+3i)-(5+3i)(5-5i)\qquad\text{distribute}\\\\=(5+3i)(1-(5-5i))=(5+3i)(1-5-(-5i))=(5+3i)(-4+5i)\\\\\text{use}\ FOIL:\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(5)(-4)+(5)(5i)+(3i)(-4)+(3i)(5i)\\\\=-20+25i-12i+15i^2=-20+13i+15(-1)\\\\=-20+13i-15=-35+13i[/tex]

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

If these 3 points are collinear, then we can find the slope of the linear function using any 2 of those points.  Suppose we use (-4, 3) and (0, 1):  

As we move from (-4, 3) to (0, 1), x increases by 4 and y decreases by 2.  Hence, the slope of this lilne is m  = rise/run = -2/4, or m = -1/2.

Using the slope-intercept formula y = mx + b and replacing y with 1, x with 0 and m with -1/2, we get:

1 = (-1/2)(0) + b, or b = 1.  Then the desired equation is y = f(x) = (-1/2)x + 1

Answer:

B

Step-by-step explanation:

Answer:

Most often people wear a helmet when riding a bike.

Answer:

.04

i think

hope that helps

Answer:  The required simplified value is 0.04.

Step-by-step explanation:  We are given to simplify the following :

[tex]E=5^{-2}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following property of exponents :

[tex]a^{-n}=\dfrac{1}{a^n}.[/tex]

The simplify of (i) is as follows :

[tex]E\\\\=5^{-2}\\\\=\dfrac{1}{5^2}\\\\=\dfrac{1}{25}\\\\=0.04.[/tex]

Thus, the required simplified value is 0.04.

Answer:

C.  (x + 3)^2 + (y - 4)^2 = 9.

Step-by-step explanation:

The general form of a circle with center (a,b) and radius r is:

(x - a)^2 + (y - b)^2 = r^2

So substituting the given values the equation of our circle is:

(x - (-3)^2 + (y - 4)^2 = 3^2

(x + 3)^2 + (y - 4)^2 = 9.

Answer:

190,080 inches

Step-by-step explanation:

Inches converted into miles. 3 miles will equal to 190080 inches according to the conversion.

Hope this helped!

Nate

Answer:

If a triangle has side lengths 3, 4, and 5 units, then its area is 6

Step-by-step explanation:

Deductive reasoning represents an important form of logical reasoning in which a conclusion is based on the concordance of multiple premises that are generally assumed to be true

we have

If a triangle has side lengths 3, 4, and 5 units, then its area is 6

we know that

1) If triangle has side lengths 3, 4 and 5, then is a right triangle because satisfy the Pythagoras Theorem

2) All right triangles have an area equal to one  half the product of the two smaller side lengths

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

substitute the values

[tex]A=\frac{1}{2}(3)(4)[/tex]

[tex]A=6\ units^2[/tex]

therefore

The statement is valid based on deductive reasoning

Final answer:

A valid statement derived from deductive reasoning is that a right triangle with side lengths of 3, 4, and 5 units has an area of 6 square units. This is consistent with the properties of right triangles and the formula for the area of a triangle.

Explanation:

Based on deductive reasoning and the properties of right triangles, we can make a valid statement regarding the triangle with side lengths of 3, 4, and 5 units. Since the sum of the squares of the two smaller sides (3² + 4²) equals the square of the longest side (5²), by the Pythagorean theorem, this is a right triangle. Additionally, the area of a right triangle is given by A = (base × height) / 2, therefore, if we take the two shorter sides as the base and height, the area of this triangle would be (3 × 4) / 2 = 6 square units.

The valid statement based on the given information is that if a triangle has side lengths 3, 4, and 5 units, then its area is 6 square units. The other statements about polygons, perimeters, and other triangles' side lengths are not necessarily valid based on the given information alone.

Answer: The acute angle is the small angle which is less than 90°. If you choose the larger angle you. will have a Reflex Angle instead: The smaller angle is an Acute Angle, but the larger angle is a Reflex Angle.

Step-by-step explanation: An angle that is exactly 90 degrees is called a right angle. Angles greater than 90 degrees and less than 180 degrees are called obtuse angles. An angle that is exactly 180 degrees is called a straight angle. butt

Answer:

Step-by-step explanation:

Ok so supplementary angles add up to 180°. If A and B add up to 180, then they can be added together to be solved. x+2x-30=180 would be your equation. From here you must balance the variable values on one side and numerical values on the other side. This can simply be done by adding 30 to both sides. Not the -30 is gone but 180 increased by 30 degrees to 210. next, combine like terms on the x side to get 3x. (2x+x=3x). set 3x equal to 210 and divide both sides to lose the 3 in front of the x value. 210/3 is equal to 70, making x=70! This may be hard to follow, so comment below if you need a broader explanation. Have good day!

[tex]\bf \begin{array}{ll} \stackrel{term}{n}&\stackrel{-6+(n-1)\frac{1}{5}}{value}\\ \cline{1-2} 1&-6+(1-1)\frac{1}{5}\\ &-6+0\\[1em] &-6\\[1em] 4&-6+(4-1)\frac{1}{5}\\ &-6+\frac{3}{5}\\[1em] &\frac{-27}{5}\\[1em] 10&-6+(10-1)\frac{1}{5}\\ &-6+\frac{9}{5}\\[1em] &\frac{-21}{5} \end{array}[/tex]

Answer with Step-by-step explanation:

We are given a arithmetic sequence as:

[tex]A(n)=-6+(n-1)(\dfrac{1}{5})[/tex]

We have to find the first, fourth and tenth term

First term:

n=1

[tex]A(1)=-6+(1-1)(\dfrac{1}{5})[/tex]

A(1)= -6

Fourth term:

n=4

[tex]A(4)=-6+(4-1)(\dfrac{1}{5})[/tex]

[tex]A(4)=-6+\dfrac{3}{5}[/tex]

[tex]A(4)=-\dfrac{27}{5}[/tex]

Tenth term:

n=10

[tex]A(10)=-6+(10-1)(\dfrac{1}{5})[/tex]

[tex]A(10)=-6+\dfrac{9}{5}[/tex]

[tex]A(10)=-\dfrac{21}{5}[/tex]

Answer:

Step-by-step explanation:

Two lines are perpendicular if the first line has a slope of [tex]m[/tex] and the second line has a slope of [tex]\frac{1}{-m}[/tex].

With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:

[tex]5x - 2y = -6[/tex]

[tex]-2y = -5x - 6[/tex]

[tex]y = \frac{5}{2}x + 3[/tex]

We now know that [tex]m = \frac{5}{2}[/tex] for the first line, which means that the slope of the second line is [tex]m = \frac{-2}{5}[/tex]. With this, we have the following equation for our new line:

[tex]y = \frac{-2}{5}x + C[/tex]

where [tex]C[/tex] is the Y-intercept that we now need to determine with the coordinates given in the problem statement, [tex](5, -4)[/tex]:

[tex]y = \frac{-2}{5}x + C[/tex]

[tex](-4) = \frac{-2}{5}(5) + C[/tex]

[tex]-4 = -2 + C[/tex]

[tex]C = -2[/tex]

Finally, we can create our line:

[tex]y = \frac{-2}{5}x - 2[/tex]

[tex]5y = -2x - 10[/tex]

[tex]2x + 5y = -10[/tex]

Answer:

a,b,d

Step-by-step explanation:

took test on edu

Answer:

28.3 that's the answer

Step-by-step explanation:

Step-by-step explanation: Exponential form contains a base and an exponent. The base is the number that is multiplied so in this case, 2 is the base. Next we write the exponent which is the number of times that the base is multiplied. Since 2 is multiplied 4 times, the exponent is 4.

So in exponential form, 2 x 2 x 2 x 2 can be written as [tex]2^{4}[/tex].

The  expression 2 x 2 x 2 x 2 can be written in exponential form as [tex]2^{4}[/tex]

In a variety of mathematical applications, such as scientific notation, computations using powers, and illustrating development or decay processes, exponential form is frequently used. A base and an exponent are both present in exponential form. The multiplied number, in this example 2, is known as the base. The exponent, which represents the number of times the base has been multiplied, is then written. The exponent is 4 since 2 has been multiplied 4 times.

Then we can see that there are four 2s then we can write in exponential as 2 x 2 x 2 x 2 =[tex]2^{4}[/tex]

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[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-5)^2+(y+6)^2=42\implies [x-\stackrel{h}{5}]^2+[y-(\stackrel{k}{-6})]^2=(\stackrel{r}{\sqrt{42}})^2~~ \begin{cases} \stackrel{center}{(5,-6)}\\\\ \stackrel{radius}{\sqrt{42}} \end{cases}[/tex]

Answer:

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have:

[tex](x-5)^2+(y+6)^2=42\\\\(x-5)^2+(y-(-6))^2=42[/tex]

Therefore

[tex]h=5,\ k=-6,\ r^2=42\to r=\sqrt{42}[/tex]

Answer:

(i)23.77kg

(ii)(ii) the inequality 20≤t≤48 means the weight of the dogs determined is for dogs that have the age of 20 weeks or less to the age of 48 weeks not more.

(iii)44 weeks

(iv)0.92

(v)Attached

(vi)The value of weight will be negative,which is unrealistic.

Step-by-step explanation:

(i)Given that the weight is modeled by the equation;

w = 0.92t−0.15 (20 ≤ t ≤ 48)

then substitute the value of t in the equation given that t=26 weeks

w=0.92*26-0.15=23.77kg

(ii) the inequality 20≤t≤48 means the weight of the dogs determined is for dogs that have the age of 20 weeks or less to the age of 48 weeks not more.

(iii)Apply the equation for weight

w=0.92t-0.15

40=0.92t-0.15

40+0.15=0.92t

40.15=0.92t

40.15/0.92=t

43.6⇒⇒44 weeks

(iv) Here , write the equation in slope intercept form of y=mx+c where m is the slope and c is the y-intercept

w=0.92t-0.15

y=mx+c

m=0.92

(v)sketch attached

(vi)

At birth, t=0 hence to find weight

w=0.92t-0.15

w=0.92*0-0.15

w=0-0.15

w=-0.15

The model cannot be extended to model accurately the dog's weight at birth because you will get a negative value for weight which is not realistic.

Answer:

Find the volume of the sphere where its diameter is 15 inches. Take π=3.14.

Step-by-step explanation:

Alright, since we are finding the volume of a sphere, we will be using the following volume formula:

the formula for the volume of a sphere

where π is a number that is approximately equals to 3.14 (or use the number given to you) and r is the radius of the sphere.

Note that, to use the formula, we need the value of the radius. Since the radius is half of the diameter, we can find the value of the radius by dividing 15 with 2. This is shown below:

Answer:

I think the answer would be 30

sorry if it is wrong

Step-by-step explanation:

Answer:x-coordinate of T: from -9 to 2, there's 11 units, so you add 11 to 2 to find the x-coordinate of T, which is 13.

y-coordinate of T: from 4 to -1 there's -5 units, so you subtract 5 from -1 to find the y-coordinate of T, which is -6.

Step-by-step explanation:

Answer:

y = -3x - 27

Step-by-step explanation:

0 = -3[-9] + b

-27 = b

y = -3x - 27

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES]:

⅓ → -3

I am joyous to assist you anytime.