Write the equation of the graph shown below in factored form. a graph that starts at the top left and continues down through the x axis at one to a minimum around y equals negative zero point six and goes up to cross the x axis two to a maximum around y equals zero point two and and then goes back down to a touch the x axis at three and then goes back up to the top right. f(x) = (x − 3)2(x + 2)(x − 1) f(x) = (x + 3)2(x − 2)(x + 1) f(x) = (x + 3)2(x + 2)(x + 1) f(x) = (x − 3)2(x − 2)(x − 1)
Answer:
(d) f(x) = (x − 3)^2(x − 2)(x − 1)
Step-by-step explanation:
In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.
A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...
f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice
Graph the solution to this inequality on the number line.
-16 > -4p
0
-10
-8
-6
-4.
-2
2.
4
6
CO
CO
8
10
0
Answer: Graph is below
=============================================================
Explanation:
We divide both sides by -4 to isolate p. This will flip the inequality sign.
-16 > -4p
-16/(-4) < -4p/(-4)
4 < p
p > 4
The graph has an open hole at 4 and shading to the right. See below.
The solution of the inequality - 16 > - 4p is shown in number line as given below in figure.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
The inequality is,
⇒ - 16 > - 4p
Now, Solve the inequality as;
⇒ - 16 > - 4p
Multiply by -1;
⇒ 16 < 4p
Divide by 4;
⇒ 4 < p
Thus, The solution of the inequality is,
⇒ 4 < p
And, This is shown in number line.
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Ms. Jackson wants to rent for a week. It will cost the weekly fee plus $0.30 per mile driven. Let m = the number of miles Ms. Jackson drives during the week.
c = cost
w = weekly fee
Equation:
c = 0.30m + w
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool? PLEASE HELP THE CORRECT ANSWER WILL GET BRAINLIEST ANSWER
Answer:
71/120
Step-by-step explanation:
Please help. Question a and b
1. A vendor at the farmer's market was selling a bag of 8 potatoes for $2.56. Another
vendor was selling a bag of 10 potatoes for $4.32. Which bag is the better deal?
Pls hurry
Answer:
8 potatoes for $2.56 is the better deal.
Step-by-step explanation:
unit price formula; cost ÷ quantity
2.56 ÷ 8 = $0.32
4.32 ÷ 10 = 0.432
round to the nearest hundredth
= $0.43
compare the answers
Answe 42.2
Step-by-step explanation:
The other vender because he got 42.2 dollar other got 20.48
Rafael runs 7 miles in 60 minutes. at the same rate, how many miles would he run in 24 minutes
Answer:
2.8 miles
Step-by-step explanation:
Speed of Rafael = 7 miles / 60 min = 7/60 miles/min
Time for next run = 24 min
Length of the next run = 7/60 miles/min *24 min = 2.8
Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip, she only drove 52 miles. Write and solve an equation to find the number of days veronica traveled.
Answer:
562 = 85x +52
x is the number of days
Veronica traveled for 7 days
Step-by-step explanation:
562 = 85x + 52
510 = 85x Subtract 52 on both sides
6 = x Divide by 85 to isolate x
Even though Veronica only had to drive 52 miles on the last day of her trip, it still counts as a day of driving. Hence, she traveled 7 days in total.
in a concert hall, there are 16 chairs in the first row, and each row has 4 more chairs than the previous row. there are 14 rows altogether. how many chairs are there in the concert hall?
How many fourth-fifths are in eight
Answer:
10
Step-by-step explanation:
8 ÷ 4/5 = 10
I hope this helps!!
6>2k+4
WONDERINGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Answer:
is it 1?
Step-by-step explanation:
If a cube has a volume of 1 cubic unit, how long is one of its edges?
Answer:
Step-by-step explanation:
If the volume of a cube is 64 cubic inches, Possible Answers: 2 in. 4 in. 9 in. 6 in. 8 in.
Find the area of the shape shown below.
Answer:
A = 15u²
Step-by-step explanation:
Area of a Trapezoid Formula:
[tex]\frac{h}{2}*(b_1+b_2)[/tex]
Plug in our values (h = 3, b1 = 7, b2 = 3)
[tex]\frac{3}{2}*(7+3)[/tex]
Now we evaluate
[tex]\frac{3}{2}*(10)[/tex]
[tex]\frac{30}{2} = 15[/tex]
What is the median of this set of data: 593, 588, 540, 434, 420, 398, 390, 375
A.564
B.420
C.427
D.394
Write and solve an equation for the following:
Answer:
x = 12
Step-by-step explanation:
The measures of ∠XYW and ∠WYZ would equal m∠XYZ.
[tex]3x + 2 + 72 = 110\\\rule{150}{0.5}\\3x + 74 = 110\\\\3x + 74 - 74 = 110 - 74\\\\3x = 36\\\\\boxed{x = 12}[/tex]
Hope this helps.
Plzzzz help mee plzzzzzzz
Answer:
A. 20%
Step-by-step explanation:
Hope it helps!
What is 10/11x11/12 in the fraction form
Answer:
83/100
Step-by-step explanation:
10/11x11/12 is 0.8333333....
Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.
Select the true statement about the proportions of the sides.
Answer:
Screenshot
Step-by-step explanation:
Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
What are Similar Triangles?Similar triangles have corresponding side lengths that are proportional in length.Similar triangles have same shape but are of different sizes.Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
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A line passes through (3,7) and (5,9). Write the equation of the
line in slope-intercept form.
Answer:
y = x+4
Step-by-step explanation:
First, we find the slope
m = (y2-y1)/(x2-x1)
m = ( 9-7)/(5-3)
= 2/2
=1
Slope intercept form of a line is y = mx+b where m is the slope and b is the y intercept
y = 1x+b
Using one of the points
7 = 1*3+b
7 = 3+b
4=b
y = x+4
Elizabeth lives on a straight road that goes east and west. She starts from a point 5.8 miles west of her home and drives a certain distance to the store. The store is more than 434 miles east of her home.
Let d represent the distance Elizabeth drove.
Which inequality represents this situation?
Answer:
−5.8+d>43/4
Step-by-step explanation:
The inequality represents the situation as −5.8+d>434.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Given that Elizabeth lives on a straight road that goes east and west. She starts from a point 5.8 miles west of her home and drives a certain distance to the store. The store is more than 434 miles east of her home.
The inequality will be written as the algebraic sum of the distance d and 5.8 is greater than the 434 miles.
Inequality: -5.8 > 434
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HELPPP
I NEED TO CHECK OFF ALL THE FUNCTIONS PLEASE HELP ME
Answer:
I'm not sure but I think it's everything outside of circular, graphic and reflective. I'm only unsure with the last one but since it's 4 point I would assume it's 4 answers.
8 is 16% of (blank) please help (:
Answer:
50
Step-by-step explanation:
8% of 100 is 8 now divide 100 by 2 since it is 16% and it is 8
I don't know what to do
Answer:
See answer below.
Step-by-step explanation:
P(v) = -4v³ + 12v² - 9v
Point (-5, -845) is not a point on the graph
P(-5) = -4(-5)³ + 12(-5)² - 9(-5)
P(-5) = 500 + 300 + 45
P(-5) = 800 + 45
P(-5) = 845 point (-5, 845) is a solution
Please help
Thank you
Answer:
m ∠JPN = 131°
Step-by-step explanation:
m ∠JPL = m ∠MPK Vertical angles are =
7x + 19 = 11x -17 Substitution
- 4x = -36 Algebra: Solving for x
x = 9 Algebra: Solving for x
m ∠JPL = 82° Substitution x = 9 into m ∠JPL = 7x +19
m ∠JPL + m ∠LPK = 180° Definition of linear pair/supplement
angles = 180°
82° + m ∠LPK = 180° Substitution
m ∠LPK = 98° Algebra
m ∠LPK = m ∠LPN + m ∠NPK Angle addition Theorem
PN bisects ∠LPK Given
m ∠LPN = m ∠NPK Definition of angle bisector
98 ° = 2 ( m ∠LPN) Substitution
m ∠LPN = 49° Algebra
m ∠JPN = m ∠JPL + m ∠LPN Angle Addition
m ∠JPN = 82° + 49° Substitution
m ∠JPN = 131° Addition
find the value of x when 6 - 4x +6x - 8x +6 , what is the vaule of x ?
=> 6- 4x +6x -8x +6 = 0
=> 12 -6x = 0
=> 6x = 12
=> x = 2
How do you write 6.6 × 100 in standard form?
Answer:
660
Step-by-step explanation:
Move the decimal point on the 6.6 right by 2 spaces, and left 2 spaces on the 100:
From 6.6 × 100
to 660. × 1.00
660
Would the point (4, -2) fall on the graph of y = -0.5x?
No
Yes
Functions can be represented on graphs and vice versa.
It is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex] i.e. the statement is Yes
The function of the graph is given as:
[tex]y = -0.5x[/tex]
To determine if the point (4,-2) will fall on the graph, we simply substitute 4 for x in the given function.
[tex]y = -0.5\times 4[/tex]
[tex]y = -2[/tex]
The y value for (4,-2) is -2, and the calculated y value for [tex]y = -0.5x[/tex] when x = 4 is -2.
Hence, it is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex]
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Can someone pls help me with this question?
Use the image below
Find the slope of the line in simplest terms.
Options:
1. 8
2. 4
3. 2
4. 1/2
Answer:
I think your anwser would be 4 im not sure
Step-by-step explanation:
Alice plants carrots in a rectangular garden bed. The garden bed has a width of 1.5
meters and an area of 6 square meters. Which equation and solution correctly represent
2, the length, in meters, of the rectangular garden bed?
Help
Answer:
4
Step-by-step explanation:
6 divided by x equals the width 1.5
or
x times 1.5 equals the area 6
then divide the 6 by 1.5 equals 4
I Hope I Helped YOU :)
someone please help me
Answer:
Area = 6cm^2
Step-by-step explanation:
Pythagorean Theorem = [tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]a^{2} + 3^{2} = 5^{2}[/tex]
or
[tex]a^{2} + 9 = 25[/tex]
Subtract 9 from 25.
25 - 9 = 16
Square root 16 to get 4.
a = 4
Now to find the area.
Area = 1/2(3*4)
12/2 = 6