Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
Step-by-step explanation:
Remember, a quadratic function which has roots x = a, and x = b, can be written as:
p(x) = A*(x - a)*(x - b)
Where A is the leading coefficient. This is the factorized form of a quadratic.
We have the function:
f(x) = (x - 3)^2
Now, we could rewrite this as:
f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)
Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)
Then the only root of f(x) is x = 3.
Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:
A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
Classify the following triangle. Check all that apply. A. Scalene B. Right C. Acute D. Equilateral E. Obtuse F. Isosceles
Answer:
E and F
Step-by-step explanation:
The triangle given has two equal sides, and an obtuse angle that is more than 90° that measures 120°. The other two angles are of equal measure since their opposite sides are of the same length. Thus, this implies that it is an isosceles triangle because it has two equal base angles and two equal sides. It also implies that it is an obtuse triangle since one of it's angles is more than 90°.
Answer:
the correct answer is acute and scalene
At a real estate agency, an agent sold a house for $311,000. The commission rate is 4.6% for the real
ostate agency and the commission rate for the agent is 25% of the amount the real estate agency
goto How much did the agency make on the hous? How much did the agent cam in commission?
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Answer:
agency: $14,306agent: $3,576.50Step-by-step explanation:
The agency's commission was ...
0.046 × $311,000 = $14,306
The agent's commission was ...
0.25 × $14,306 = $3,576.50
__
The agency made $14,306; the agent earned $3,576.50.
What is the slope of the line below?
(5,5)
(5,-2)
A. zero
B. negative
C. undefined
D. positive
Answer:
Undefined
Step-by-step explanation:
Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.
35=7x. please help me fasttt
Answer:
x=5
Step-by-step explanation:
35 divided by 7 is 5, so in that case, 7 times 5 is 35.
¿Como se escribe 216 geados en minutos?
Answer:
I am so sorry but I do not understand Spanish
Please help ! 1. Kenken puzzle 3x3
Answer:
Step-by-step explanation:
can you guys please help me
9514 1404 393
Answer:
see below
Step-by-step explanation:
Each vertex has a single-letter label.
Each edge joins two vertices, and is named by naming those two vertices.
Each polygon is named by listing the vertices at its corners. It is a plane figure.
The base is the polygon opposite the point where all of the triangles come together.
__
16. figure: pentagonal pyramid ABCDEF
17. base: ABCDE
18. faces: ABF, BCF, CDF, DEF, AEF, ABCDE (the bottom face, or base)
19. edges: AB, BC, CD, DE, AE, FA, BF, CF, DF, EF
20. vertices: A, B, C, D, E, F
How many strikeouts per inning if there were 36 strikeouts in 60 innings
Answer:
0.6 strikeouts per inning
Step-by-step explanation:
36 strikeouts in 60 innings = 36/60 = 6/10 = 0.6
Answer: 0.6 strikeouts per inning
what is 5.3 x 5.3 x 5.3 x5.3 as a power?
The expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or [tex]{(5.3)}^4[/tex], which evaluates to 6241.03.which means
To express this expression as a power, we need to determine the exponent that represents the number of times 5.3 is multiplied by itself. In this case, 5.3 appears four times in the multiplication.
So, the expression can be rewritten as 5.3 raised to the power of 4, or [tex]{(5.3)}^4[/tex].
The formula for expressing a number multiplied by itself n times as a power is: [tex]a^n[/tex]
In this case, a is 5.3 and n is 4.
To evaluate the expression, we can simply multiply 5.3 by itself four times:
5.3 x 5.3 x 5.3 x 5.3 = 6241.03
Therefore, 5.3 x 5.3 x 5.3 x 5.3 can be expressed as [tex]{(5.3)}^4[/tex], which is equal to 6241.03.
In summary, the expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or [tex]{(5.3)}^4[/tex], which evaluates to 6241.03.
Learn more about exponentiation and powers here:
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Rodrigo acelera su bicicleta a razón de 0.9m/s2 bajo la acción de una fuerza de 94N ¿Cuál es la masa de ambos?
Answer:
no entiendo español
Step-by-step explanation:
no entiendo español
Find the slope, I don't know how though.
Answer:
slope is -2
Step-by-step explanation:
There
are five marbles in
a bag. Three are green and
two are yellow. You draw a
marble, replace it, and then
Draw another. What is the
probability of choosing two
yellow marbles?
Answer:
like 20 percent
What is the measure of the missing angle
in the triangle below?
38
A 58°
B 52°
C 48°
D 42°
Answer:
B. 52°
Step-by-step explanation:
x + 38 + 90 = 180
x + 128 = 180
x = 180 - 128
x = 52°
118.4 divided by 6.4 STEP BY STEP EXPLANATION PLS.
Answer: 18.5
Step-by-step explanation: Steps are down.
1. Move the decimal point all the way to the right.
2. Put a decimal point in the quotient exactly as the one in the dividend.
3. Divide the tens column by the divisor.
4. Multiply the divisor by the quotient.
5. Subtract the product by the divisor.
6. Bring down what's left, then repeat.
The amount of miles a car travels and the gas remaining in the gas tank
A. Positive association
B. Negative association
C. No association
Answer:
B. Negative association
Step-by-step explanation:
As the car travels more miles, the gas in the tank will decrease.
1 What is the value of this expression?
2 +4² x 4 - 12
Tell Me If Somethings wrong with my answer!
Answer:
54
Step-by-step explanation:
pedmas rule
2+16*4-12
2+64-12
66-12=54
Diego has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a bake sale. He wants to make the greatest number of bags that have all three cookie flavors and the same number of each flavor per bag. How many bags can he make without having any cookies left over? How many vanilla cookies will be in each bag?
Answer:
48 bags max if all 3 flavors must be in the bag. One flavor each in the bag.
I don't understand the other questions since the number of cookies per is not given nor the flavor mix
A right triangle and some of its measurements are shown in this diagram. Based on the measurements shown in the diagram, what is the value of T? HELP HELP GOD IMMA FAIL PLZ THIS IS URGENT
Answer:
t = 6√3 mm
Step-by-step explanation:
The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2
The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm
t = side opposite the 60° angle = 6√3 mm.
The value of T is 6√3.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
Hypotenuse = 12 mm
Using Trigonometry
sin 60 = P/H
√3/2= P/12
12√3/2= P
P= 6√3
Thus, the value of T is 6√3.
Learn more about Trigonometry here:
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What is 5% of 40? Need help please.
Answer:
it is 2
Step-by-step explanation:
set up and solve a quadratic equation to work out the value of x
What is the distance from Mto N?
4
N(2,3)
3
2
1
5 4 3 2
1
1 2
3 4 5
2
-3
4
M-4.-5)
A. 14 units
B. 100 units
C. 10 units
D. 2 units
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Answer:
C. 10 units
Step-by-step explanation:
The distance MN can be found using the distance formula.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((2 -(-4))² +(3 -(-5))²) = √(6² +8²) = √100 = 10
The distance from M to N is 10 units.
29 mm
가
120 mm
D
What is the perimeter?
millimeters
HELP PLS IM CRYING I NEED IT PLSS ANSWER IT PLSSSSS
Answer:
C) 4k-24
A)10x+15x
Step-by-step explanation:
If AD = 21, BF = 8, and DF = 8, what is the value of AB?
Answer:
AB would be 21
Step-by-step explanation:
Sides BF and DF equal 8, because triangles BFC and DFC are both right triangles and they have two equal sides (hypotenuses are equal and both triangles share side FC), triangles BFC and DFC are congruent triangles, which means side DC is equal to BC. Since right triangles ADC and ABC share side AC and BC = DC, they are congruent triangles, meaning AB will equal AD, which is 21.
Margarita's gross paycheck last week was $204.75 from working 21 hours. What is her hourly pay rate?
Answer:
$9.75
Step-by-step explanation:
This problem requires division. All factors are already provided in the problem, so all you have to do to solve this is divide 204.75/21, and get your answer! Hope this helps :)
Pls help me ASAP I will give brainliest
Answer:
[tex]y = 40000(1.02)^8[/tex]
Step-by-step explanation:
Given
[tex]a = 40000[/tex] -- Initial population
[tex]r = 2\%[/tex] --- Rate
Required
Determine the population in 8 years
The question shows an exponential distribution and the final population will be calculated using:
[tex]y = a(1 + r)^x[/tex]
Where x is the number of years.
So, we have:
[tex]y = 40000(1 + 2\%)^8[/tex]
Convert % to decimal
[tex]y = 40000(1 + 0.02)^8[/tex]
[tex]y = 40000(1.02)^8[/tex]
(b) is correct
Find the simple interest you are investing $200 with a 5.2% interest rate of 3 years
Answer:
Step-by-step explanation:
Simple interest is
I=Prt, where I= interest, P=principle (initial value), r=interest rate, t=time
I=200(0.052)3
I=$31.20
Answer:
3,120
Step-by-step explanation:
Simple Interest= PRT / 100
= 200*5.2*3
= 1,040*3
= 3,120
Hope it is useful
I am having an issue in figuring out how the answer is 247,700.
Answer:
its 1,108,582
Step-by-step explanation:
u add them to get how much it fits
2. What is the value of the number in the thousandths place of 1079.483?
Answer:
3
Step-by-step explanation:
Answer:
9000
Step-by-step explanation:
. Suppose that 10 students of a class of 50 undergraduates are chosen for a behavioral experiment. The total class consists of 15 freshmen, 18 sophomores, 10 juniors, and 7 seniors. If all students are equally likely to be picked, determine the probability of the group contains exactly seven seniors and three juniors.
Answer:
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
7 seniors, from a set of 7.
3 juniors, from a set of 10. So
[tex]D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120[/tex]
Total outcomes:
10 students froms a set of 50. so
[tex]T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{120}{10272278170} \approx 0[/tex]
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
