Answer:
x=2, x=-2, and x=-1
Step-by-step explanation:
Function: f(x)=(x-2)(x+2)(x+1)²
We can solve each one of the zeros by making the expressions (the ones in the parentheseis) equal zero.
So we have three equations:
1.(x-2)=0
2.(x+2)=0
3.(x+1)²=0
Solve.
1.x-2=0
x=2
2. x+2=0
x=-2
3. (x+1)²=(x+1)(x+1)=0
(x+1)=0
x=-1
(x+1)=0
x=-1
Since those two were the same we can just say x=-1 once.
Here are the three zeros:
x=2, x=-2, and x=-1
hope this helps!
Select the graph that correctly represents ƒ(x) = –2(x + 4)2 – 1.
The graph that correctly represents f(x) = –2(x + 4)² is graph (B).
What is a graph?A graph is a diagram that depicts the connections between two or more objects. A pie chart is a type of graph. In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to connected and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other types of graphs.So, graph of: f(x) = –2(x + 4)²
Then,
f(x) = -2(x + 4)² f(x) = (-2x - 8)²Now, plot (-2x - 8)² on the graph.
(Refer to the graph attached below)
Therefore, the graph that correctly represents f(x) = –2(x + 4)² is graph (B).
Know more about graphs here:
https://brainly.com/question/19040584
#SPJ1
What constant acceleration is required to increase the speed of a car from 23 mi/h to 51 mi/h in 5 seconds? (Round your answer to two decimal places.)
Answer:
337.35 mi/h^2
Step-by-step explanation:
Given the equation;
v= u +at
v= final velocity = 51 mi/h
u= initial velocity = 23 mi/h
t = time = 5 mins or 0.083 hours
a = acceleration, the unknown
51 = 23 + 0.083a
51 - 23 = 0.083a
a= 51 - 23/0.083
a= 337.35 mi/h^2
Triangle ABC is dilated by a factor of 2 with the center of dilation at the origin to form triangle A′B′C′. What are the coordinates of triangle A′B′C′?
Question 2 options:
A)
A′ (0, 4), B′ (4, 0), C′ (16, 16)
B)
A′ (4, 0), B′ (0, 4), C′ (8, 8)
C)
A′ (0, 4), B′ (4, 0), C′ (8, 8)
D)
A′ (0, –4), B′ (–4, 0), C′ (–8, –8)
Answer: c
Step-by-step explanation: I got it right on the test
A′ (0, 4), B′ (4, 0), C′ (8, 8)
What is the length of side AD?
What is the measure of
What is the measure of
Answer:
11 in
Step-by-step explanation:
as itis parallelogram equal sides
A landscape architect used the entire length of a 144 foot rope to lay out a flowerbed in the shape os a square. In another area, e used the entire length of the same rope to lay out a second flower bed in the shape of a circle
Answer:
Perimeter of square = 80 feet Circumference of circle = 80 feet
How many square feet greater is the area of one of the flower beds than the other? (use 3.14 for pi)
Step-by-step explanation:
What is the equation of y = x 3 y = x 3 with the given transformations? vertical stretch by a factor of 3, horizontal shift 4 units to the right, vertical shift 3 units down
Answer and Step-by-step explanation: In math, a graph, function or equation can be alterated - by shifting, reflecting, stretching or compressing - without losing its original shape. For example, a quadratic function maintains its parabolic shape when shifted.
When an equation is transformed vertically, it means its y-axis is changed. When it is horizontally, its x-axis is modified.
For equation [tex]y=x^{3}[/tex]:
Vertical stretch by a factor of 3:This means the exponential equation will be multiplied by a constant, in this case 3. Then, the new equation is
[tex]y=3x^{3}[/tex]
Horizontal shift 4 units to the right:When an equation is shifted, it's added a constant to it. As it is horizontal, it means it is added to the x and because it is to the right, it is a plus symbol:
[tex]y=x^{3+4}[/tex]
Vertical shift 3 units down:Vertical shift means the equation is 3 units "below" the original equation, so:
[tex]y=x^{3}-3[/tex]
Given a Segment AB find the midpoint; B = 30 and A = 10
Answer:
The midpoint is at 20
Step-by-step explanation:
The midpoint of a segment
Given a segment in the number line with endpoints A(xa) and B(xb).
The midpoint coordinate is calculated as follows:
[tex]\displaystyle xm=\frac{xa+xb}{2}[/tex]
We are given the coordinates xa=10 and xb=30, thus the coordinate xm of the midpoint M is at:
[tex]\displaystyle xm=\frac{10+30}{2}[/tex]
[tex]\displaystyle xm=\frac{40}{2}[/tex]
xm = 20
The midpoint is at 20
When a numerator equals zero, a ratio is what?
Answer:
A numerator is allowed to take on the value of zero in a fraction. Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero. all have a fraction value of zero because the numerators are equal to zero.
Ano ang sagot o product ng 5 at 5 ? A. 15 B. 20 c. 25 D. 25
Help plssssssssssssssss
Answer:
C, 2(x-3) = 22
Step-by-step explanation:
2(x-3) = 22
2((14)-3) = 22
2(14-3) = 22
2(11) = 22
22 = 22
What is the factored form of the expression 9x2 + 6x + 1?
Answer:
(3x+1)^2
Step-by-step explanation:
What is the equation of a line with slope 5 that contains points (-2,-3)
Answer:
y-(-3) = 5(x-(-2)
y+3 = 5x+10
y = 5x+10-3
y= 5x+7
does the point (0,-4) lie on the line
Answer: Yes.
Step-by-step explanation: Because if it is 0 on the x axis then no matter what the Y number is it will be on the line.
The average person that weighs 150 pounds has approximately 4.5 liters of blood in their body. Based on that same scale, supposedly how many liters of blood would a 250 pound person have?
Answer:
First you find how many pounds for 1 litre of blood. Trick is if you divide x by y, the answer you get will follow the unit of x. So if you divide 150 pounds by 4.5 litres, the answer will be 33.33 pounds per litre. So how many 33.33... is there in 250? Just divide 250 by 33.333 or (150/4.5), you'd get 7.5. That means for there's 7.5 parts of 33.333 pounds in 250 pounds. And if 33.333 pounds is equal to 1 litre of blood, you get 7.5 liter!
Look at the black points on the graph. Fill in the
missing coordinates for y = 2^x.
(0,_) and (_,32)
Answer:
(0,1) and (5,32)
Step-by-step explanation:
Edg.2020
Answer:
Step-by-step explanation:
A lab scale weighs 3 pounds, 5 ounces. Which of the following is the scale weight in (oz)?
a. 35 oz
b. 53oz
c. 41
d. 29oz
Answer:
53 ounces
Step-by-step explanation:
We know that,
1 pound = 16 ounce
3 pounds = 48 ounces
We need to find the weight in 3 pounds, 5 ounces.
3 pounds, 5 ounces = 48 ounces+ 5 ounce
= 53 ounces
So, the scale weight is 53 ounces. Hence, the correct option is (b).
A minor arc will have a measure that is
OA. more than 180°
O B. equal to 180°
OC. less than 180°
Best answer gets Brainliest!!!
Using the inverse trig functions, find the measure of angle Z to the nearest degree.
1. 19 degrees
2. 90 degrees
3. 20 degrees
4. 71 degrees
Answer:
4
Step-by-step explanation:
because y is 90 and x is 20 so z is 71
make a math card game
Answer:
Use Close Call to practice two-digit addition or subtraction. The best math card games are simple at heart. To play Close Call, each player deals themselves four cards then determines how to arrange them so they make two two-digit numbers that add up as close as possible to 100 without going over.
HELP ASAP will give brainly Which of the following lists is in order from smallest to largest?
, 0.04, 25%
0.04, 25%,
, 25%, 0.04
25%, 0.04,
Answer:
0.04, 25%Step-by-step explanation:
25% = 0.25 > 0.04
Therefore the order from smallest to largest is:
0.04, 25%Sue walked 3.38 miles. Alex walked five times as many miles as Sue. Dan walked 4.68 miles more than Alex. How far did Dan walk
Answer:
21.58 miles
Step-by-step explanation:
First let's find how many miles Alex walked.
It said "Alex walked five times as many miles as Sue" so lets multiply 3.38 with 5: 3.38 x 5 = 16.9
So, Alex walked 16.9 miles. Now we can find Dan's.
It said "Dan walked 4.68 miles more than Alex" so lets add 4.68 to 16.9: 16.9 + 4.68 = 21.58
So Dan walked 21.58 miles
Can someone check this thanks
Answer:
That is correct! Good boy, you get a treat. :)
Step-by-step explanation:
Chris can type 490 words in 7 min how many works can he type PER min
You get 14 points
PLEASE HELP ASAP!!! I WILL GIVE BRAINLIEST :)
Part 1: Answer the following questions (20 points)
1. Name and describe the components needed to make a complete circuit.
2. Compare and contrast a series and parallel circuit. Give at least one way that they are alike and one way that they are different.
3. Ohm's law is represented by the equation I = V/R. Explain how the current would change if the amount of resistance decreased and the voltage stayed the same.
4. Define resistance and describe what would happen to a light bulb if the voltage increased but the resistance stayed the same.
Part 2: Design your own circuit (40 points)
Design a circuit and draw a circuit diagram using the proper symbols. Your circuit must contain a battery, a light bulb (if you would like to substitute another item that uses electrical power you may), a switch, an ammeter, and a resistor. After you draw your circuit, complete the questions which ask you to describe the circuit that you have created. You may hand draw the circuit and scan or fax the worksheet to submit for grading. Or you may use a draw/paint program to create your circuit in the space provided.
You will be awarded points as follows:
Circuit contains all required parts – 5 parts (1 point each) 5 points
Circuit is properly constructed and would work 5 points
Symbols are correct and properly placed – 5 total (1 point each) 5 points
Question 1 explanation 5 points
Question 2 explanation 5 points
Question 3 explanation 5 points
Question 4 explanation 5 points
Question 5 explanation 5 points
Total point value 40 points
Circuit Diagram:
Question 1: Is the circuit you created a parallel, series or a series/parallel circuit? Support your answer with a description of this type of circuit.
Question 2: What is the purpose of the resistor in your circuit?
Question 3: How does the switch work?
Question 4: Describe the path of the electric current through your circuit.
Question 5: Explain how your battery works. (You may want to look at the Electric Current lesson) What are some possible materials you could use to make your battery?
Answer:
Part 1: Answer the following questions (20 points)
1. Name and describe the components needed to make a complete circuit.
. battery
. connecting wire
. resister
. voltmeter
. ammeter
2. Compare and contrast a series and parallel circuit. Give at least one way that they are alike and one way that they are different.
They both give off electricity energy, and they are different because they don't release the same amount of energy
3. Ohm's law is represented by the equation I = V/R. Explain how the current would change if the amount of resistance decreased and the voltage stayed the same.
In accordance with the law, if r became smaller, and V stayed the same, the current would increase. The increases would be inversely proportional to the resistance, if the resistance was halved, the current would double.
4. Define resistance and describe what would happen to a light bulb if the voltage increased but the resistance stayed the same. The resistance of a conductor is the ratio of the voltage
between its ends to the current through it
Step-by-step explanation:
Sin(x/7)sin(x/7)=1/2[1- cos (2x/7)] true or false plzzzzz hello am struggling
Using a trigonometric identity, it is found that the statement is False.
What is the trigonometric identity used in this question?It is for the sine squared, given by:
[tex]\sin^2{x} = \frac{1 - \cos{(2x)}}{2}[/tex]
In this problem, the equality given is:
[tex]\sin{\left(\frac{x}{7}\right)} = \frac{1 - \cos{\left(\frac{2x}{7}\right)}}{2}[/tex]
Since the left side does not have the sine squared, the identity is not valid and the statement is False.
More can be learned about trigonometric identities at https://brainly.com/question/24496175
Answer:
True
Step-by-step explanation:
Just took the quiz
Kate bought $23.40 worth of two types of bird seed. Thistle bird seed sells for $1.60 per pound and wild bird seed sells for $0.95 per pound. If she bought 12 pounds of wild bird seed, write and solve a linear equation to find the amount of thistle bird seed she purchased.
Answer:
Ax+By=C and 7.5 lb of Thistle
Step-by-step explanation:
time in hours which is greater 5 1/3, 5 3/5, 5 2/3, 5 2/5
Define the opposite and the absolute value of -15.
Answer:
|-15| is 15
Step-by-step explanation:
Help!!!!!!?!!!!!!!!!!??????????
Step-by-step explanation:
A value is excluded when it makes the rational expression undefined. (such as making the denominator 0, etc.)
For example when x = 8, (x - 8) at the denominator will become 0 and make it undefined.
The correct options are the 3rd and 4th ones.