The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.
Given that,
The function is f(x)= (x-5)³(x+2)²
We have to find at which root does the graph function touch the x-axis.
We know that,
What is a function?Mathematical calculus' core component is functions. The unique forms of relationships are the functions. When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x.
Take the function
f(x) = (x-5)³(x+2)²
f(x) = 0 if a curve touches the x-axis.
⇒ (x - 5)³(x + 2)² = 0.
But if ab = 0
So, a=0 and b=0
⇒ (x - 5)³ = 0 and (x + 2)² = 0
⇒ (x - 5) = 0 and x + 2 = 0
⇒ x=5 and x=-2.
Therefore, The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.
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4. A sequence of transformations was applied to an equilateral triangle in a coordinate plane.
The transformations used were rotations, reflections, and translations. Which statement about
the resulting figure is true?
A. It must be an equilateral triangle with the same side lengths as the original.
B. It must be an equilateral triangle, but the side lengths may differ from the original
triangle.
C. It may be a scalene triangle, and all the side lengths may differ from the original triangle.
D. It may be an obtuse triangle with at least one side the same length as the original triangle.
Step-by-step explanation:
A It must be an equilateral triangle with the same side lengths as the original triangle
Erica had 30 dollars to spend on 3 gifts. She spent 10 7 10 dollars on gift A and 6 2 5 dollars on gift B. How much money did she have left for gift C?
PLZ HELP
I'm stuck on this :
Answer:
She went over her amount of money on her first two gifts so she has no money left for gift C.
Step-by-step explanation:
Gift A = 10 + 7 + 10 = 27
Gift B = 6 + 2 + 5 = 13
27 + 13 = 40
She went over her amount of money on her first two gifts so she has no money left for gift C???
Did you mean to put that many numbers for each gift or is there some kind of mistake in the question?
Pictures attached-- 100 points!! Assuming that any increase occurs in whole dollar amounts, what is the maximum possible increase that maintains the desired minimum revenue? Explain why this is true.
Answer:
Part A:
Cost: 10+x
Customers: 16 - 2x
Part B:
-2x^2+-4x+160 ≥ 130.
Part C:
$12
Part D:
$12 because it is greater.
Step-by-step explanation:
To know how to solve you do this
Put each number from part c like 13 is 3 and change the x
for example
-2(x)^2-4(x)+160
to
-2(3)^2-4(3)+160
Is it greater than ≥ 130 or equal to?
What evera is greater to is the answer.
Mark me BRAINLIETS PLS!!!!!!!!!!
Tammy bought yogurt and toppings at the frozen yogurt shop. She paid $7.80 for yogurt and toppings that weighed a total of 15 ounces. Which table represents the same relationship between cost in dollars, c, and ounces of yogurt and toppings, o? Group of answer choices
Step-by-step explanation:
zoom I'd - 9038735228 pwd -97cEeT I m getting bored wanna come for intresting talk
The relationship between cost in dollars, c, and ounces of yogurt and toppings, o is c = 0.52o
What is linear equation?An equation between two variables that gives a straight line when plotted on a graph.
Given that, Tammy bought yogurt and toppings at the frozen yogurt shop. She paid $7.80 for yogurt and toppings that weighed a total of 15 ounces.
Cost of 1 ounce of yogurt and toppings = 7.80/15 = 0.52
The equation for finding the cost c for o ounces of yogurt and toppings = c = 0.52o
Hence, The relationship between cost in dollars, c, and ounces of yogurt and toppings, o is c = 0.52o
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Please help it’s due today
Answer:
Angle A = 15°
use angle properties of triangle to solve this.
Step-by-step explanation:
Given Angle CBD = 30,
Angle ABC + Angle CBD = 180 (Sum of Angles on the same straight line)
Angle ABC + 30 = 180
Angle ABC = 180 - 30 = 150
Since Angle AB =~ BC,
Angle A = Angle C
Let angle A and C be x.
Angle A + Angle C + Angle ABC = 180 (Sum of Angles in a triangle)
[tex]x + x + 150 = 180 \\ 2x + 150 = 180 \\ 2x = 180 - 150 \\ 2x = 30 \\ x = 15[/tex]
Therefore Angle A = 15 degrees
Angelina got 19 out of 25 questions on her science test correct. What percentage did Angelina get on her math test?
Answer:
76%
Step-by-step explanation:
Convert the fraction 19/25 into decimal
19/25 = 0.766
Multiply the decimal by 100: 0.76 × 100 = 76%
Answer:
76%
Step-by-step explanation:
19/25×100
76%
In order for you to get the percentage, you multiply the fraction of gotten out of total to 100
List the sides of DEF in order from shortest to longest.
0.5w+3x,when w=6,x=5
Answer:
3 + 15 =
18
Step-by-step explanation:
0.5 x 6 =3
3 x 5 = 15
Please help me!! I suck at geometry. I don’t understand any of it at all
Answer:
use socartic for help
Step-by-step explanation:
What does "m" represent in y=mx+b
m represents the slope of the line
Answer:
M represent the slope.Step-by-step explanation:
Slope-intercept form:
y=mx+b
The m represents is the slope.
The b represents is the y-intercept.
Which decimals are greater than the one shown in this diagram? HALP
Answer:
0.4 > 0.27
Step-by-step explanation:
0.4 is more if you look at the diagram
Answer:
The sign is >. Some decimals that are greater are 0.60, 0.94, and 0. 65.
Solve for x x=___________
Answer:
I think you divide 150 of 30
Step-by-step explanation:
and is 5
Do these three segments make a right triangle? 16m, 30m, and 34m
Answer:
it is a right triangle
Step-by-step explanation:
i have no explanation my sister told me with no explanation sorry
Answer:
Yes, the three segments 16,30,34 make a right triangle.
Step-by-step explanation:
The three segments are the following 16,30, and 34.
We will use the Pythagorean Theorem to find out if the three numbers can make a right triangle.
- [tex]a^2+b^2=c^2[/tex]
When we have 3 numbers given, our largest number is the hypotenuse.
So 34 is our hypotenuse, so we substitute it as the c in our formula.
And our a^2 and b^2 are 16 and 30!
- [tex]16^2+30^2=34^2\\256+900=1156\\1156=1156[/tex]
Our formula verifies that the three segments provided can make a right triangle.
Please I need help ASAP
Answer:
A
Step-by-step explanation:
Consider the given circle with indicated diameter.
What is the circumference of the circle in terms of pi?
(C = id)
7
14
21
28
Answer:
a. C=7π
b. C=14π
c. C=21π
d. C=28π
Step-by-step explanation:
To find the circumference, you need to multiply the diameter (d) by π times i.e. C=πd.
2.Mauricio tanqueó su auto en una estación de gasolina. Si el galón costo $ 7.000 y él pagó 12.250 por el servicio, ¿Qué fracción indica la cantidad de galones que pagó Mauricio?
Answer:
4/7
Step-by-step explanation:
2.Mauricio llenó su auto en una gasolinera. Si el galón le costó $ 7,000 y él pagó 12,250 por el servicio, ¿qué fracción es la cantidad de galones que pagó Mauricio?
La fracción por la cantidad de galones que pagó Mauricio se calcula como:
Cantidad de galones / Cantidad total pagada por el servicio
= $ 7000 / $ 12,250
= 4/7
Por lo tanto, la fracción que es la cantidad de galones que pagó Mauricio es 4/7
ple help its EZ homework even if u only do 1 itl be gladly appreciated
Answer: Open the photo (sorry for taking so much space)
Step-by-step explanation:
The cost to make x T-shirts can be represented by the function C(x).
Complete the statement below about function C.
If C(10) = 50, then____ T-shirts cost $_____.
Answer:
$5
Step-by-step explanation:
Answer:
if c(10)=50, then 10 T-shirta cost $50
Help me plz I don’t understand it
Answer:
x = 11
Step-by-step explanation:
By intersecting chords theorem:
[tex]27(x + 5) = 24(x + 7) \\ 27x + 135 = 24x + 168 \\ 27x - 24x = 168 - 135 \\ 3x = 33 \\ x = \frac{33}{3} \\ x = 11[/tex]
It you tip 3.75 on a bill and your tip was 20% of the bill, how much was the meal before tip?
Answer: If 3.75 is 20% of the bill then $300 is the bill
What is the solution to this system of equations?
Answer:
(-2,2)
Step-by-step explanation:
Looking at your graph, the part were both lines intersect/meet is at point (-2,2). Since (-2,2) is the point of intersection, it is the solution to the equations.
Hope this helps ^-^
Can someone help me solve pleaseeeee? Asap
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{12x-4}{15x-5}[/tex] ← factorise numerator and denominator
= [tex]\frac{4(3x-1)}{5(3x-1)}[/tex] ← cancel (3x - 1) on numerator and denominator
= [tex]\frac{4}{5}[/tex]
Solve for h: V=1/3b^2h
Answer:
Step-by-step explanation:
The function ƒ(x) = 2x − 1 indicates:
a downward shift of 1 unit.
a shift of 1 unit to the left.
an upward shift of 1 unit.
None of these choices are correct.
Answer:
the function f(x) = 2x - 1 indicates:
a downward shift of 1 unit
as the y-intercept: (0, -1)
Solve for m angle DBC.
A clothing store is having a one
day sale offering 20% off all
merchandise. If Claudia spends
$99.84 on the day of the sale,
excluding sales tax, what would the
purchase have cost her at full price?
o saw this question om edge its b
Jensen has an above ground pool in the shape of a regular octagon. Opposite sides are 25 feet apart and each side is 10.4 feet long. It requires 7.5 gallons to fill one cubic foot. How much water is need to fill the pool with 3 feet of water.
A. 3900
B. 5850
C. 1560
D. 11700
Answer:
D
Step-by-step explanation:
To solve this question we can use the area formula for an octagon.
It is as follows:
A=2(1+√2)a^2
where "A" is the total area and "a" is the length of a side.
Plug in our side length a=10.4
A=2(1+√2)10.4^2
≈522.24268
Alternatively, you can split the octagon into 8 equal triangles.
The base of each triangle would be 10.4 and the height would be 12.5 since opposite sides are 25 feet apart. (25/2)
The area of a triangle would then be:
A=1/2bh
where "b" is base and "h" is height
A=125*10.4*1/2
=65
Since there are 8 we multiply that by 8 for the area of an octagon
65*8=520
The area of the octagon base is 520 square feet.
I'll use this value to do my calculations as it is more exact.
Now, using this area, we need to find the volume of the pool we are meant to fill.
To do this, we simply multiply the area of the base by the height.
520*3=1560
Now, we know that the volume of the pool is 1560 cubic feet.
Each cubic foot takes 7.5 gallons to fill.
1560*7.5=11700
Therefore, the pool takes 11700 gallons of water to fill.
2 Fat-free cottage cheese is sold in quantities of 125 g at R8,99.
Calculate the cost of the fat-free cottage cheese required in the recipe.
Answer:
R17.98
Step-by-step explanation:
Required in the recipe = 250 g Fat free cottage cheese ;
125 g Fat free cottage cheese = R8.99
For 250g Fat free cottage cheese ; 250 / 125 = 2 125 g fat free cottage cheese is required ;
1 125 g Fat free cheese =. R8. 99
2 125g fat free cottage cheese =. R8. 99 * 2
R8. 99 * 2 = R17.98
Charlotte works at an electronics store as a salesperson. Charlotte earns a 10% commission on the total dollar amount of all phone sales she makes, and earns a 4% commission on all computer sales. Charlotte had twice as much in computer sales as she had in phone sales and earned a total of $162 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Charlotte made and the dollar amount of computer sales she made. Define the variables that you use to write the system.
Answer:
I think it's 0.648
Step-by-step explanation:
10% of 4% of 162 = 0.648
Answer:
I think it's 0.648
Step-by-step explanation:
Can someone please help me with this question please help me.
James scored a total of 16 points during a basketball game. During the game, he made only free throws, worth 1 point each, and 3-point baskets. He made a total of 10 free-throws and 3-point baskets. Determine exactly how many free throws and how man 3-point basket James made during the game.
Answer:
x = 7 , y = 3 , or 7 free throws, and 3 3-pointers.
Step-by-step explanation:
James scored a total of 16 points during a basketball. Only free throws and 3-point baskets are used. Free throws = 1 point (x), 3-pointers = 3 points (y).
Set the equations:
16 = x + 3y
10 = x + y
First, isolate the variable x in the second equation. Divide y from both sides of the equation:
10 (-y) = x + y (-y)
x = 10 - y
Next, plug in 10 - y for x in the first equation:
16 = x + 3y
16 = (10 - y) + 3y
Simplify. Combine like terms:
16 = 10 - y + 3y
16 = 10 + (-y + 3y)
16 = 10 + 2y
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 10 from both sides of the equation:
16 (-10) = 10 (-10) + 2y
2y = 16 - 10
2y = 6
Next, divide 2 from both sides:
(2y)/2 = (6)/2
y = 6/2 = 3
Plug in 3 for y in one of the equations:
16 = x + 3y
16 = x + 3(3)
16 = x + 9
Isolate the variable, subtract 9 from both sides of the equation:
16 (-9) = x + 9 (-9)
x = 16 - 9
x = 7
x = 7 , y = 3 , or 7 free throws, and 3 3-pointers.
Plug in to check:
16 = x + 3y
10 = x + y
16 = (7) + 3(3)
16 = 7 + 9
16 = 16 (True)
10 = (7) + (3)
10 = 10 (True).
~
Answer:
x = 7 , y = 3 or 7 free throws, and 3 3-pointers.
Step-by-step explanation: