The graph f(x) = (x – 5) The x-axis is touched at -2 by 3(x + 2).
By examining the power of the factor, you may determine whether the graph will cross the x-axis or only touch it.
(x - 5)
3 is an odd number because it has a power of 3. A power of ODD indicates that the graph will pass through the x-axis.
(x + 2)
A power of 2, or even number, exists in the number 2. In the case of an EVEN power, the graph will contact the x-axis.
Set the factor equal to zero and solve to determine the location where it will touch the axis.
Subtract 2 from both sides so that (x + 2) = 0.
x = -2
The complete question is:-
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
A. -5
B. -2
C. 2
D. 5
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A cylindrical container of six rubber balls has a height of 18 centimeters and a diameter of 3 centimeters. Each ball in the container has a radius of 1.5 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number. - Could you help me with this?
Answer:
170 cm²
Step-by-step explanation:
Height of Cylindrical container = 18 cm ; diameter of cylindrical container = 6 cm.
Hence, radius of cylindrical container = 6/2 = 3 cm
Rubber balls = 3 each have a radius of 3 cm.
Volume of a cylinder = π r² h
V = 3.14 * (3cm)² * 18 cm
V = 508.68 cm³
Volume of rubber ball = 4/3 π r³
V = 4/3 * 3.14 * (3cm)³
V = 113.04 cm³
Volume of 3 rubber balls = 3 * 113.04 = 339.12³
Take the difference to obtain answer :
Volume of cylinder - Volume of rubber ball
508.68 cm³ - 339.12³
= 169.56 cm²
170 cm² (nearest whole number
At a movie theater, a large popcorn cost $8.00 and small drinks cost $3.75 each. If you
buy d drinks and a large popcorn, what expression would represent your bill?
Answer:
large popcorn: $8
small drink: $3.75
= $8 + $3.75
= $11.75
Answer:
$11.75d
Step-by-step explanation:
add 8.00 and 3.75
you get 11.75 since U don't know how much it is for the drink, then U put d 11.75 so when U find d, you'll know that U can add it with your sum.
HELP ME FIND THE OPPOSITE OF THIS PLEASE!!! I’ll mark brainliest
Answer:
-3p^7 + 8p
Step-by-step explanation:
OPPOSITE: having a position on the other or further side of something; facing something, especially something of the same type.
What are the roots of the quadratic?
a) -3 and 0
b) -3 and 1
c) -1 and 3
d) -1 and -3
10 points
2. You weigh six packages and find the weights to be 29, 19, 69, 24, 64,
and 59 ounces. If you include a package that weighs 219 ounces, which
will increase more, the median or the mean?
Answer:
mean
Step-by-step explanation:
mean of six packages = (29+19+69+24+64+59)/6 = 44 ounces
Median of these six packages (19,24,29,59,64,69) = (29+59)/2 = 88/2= 44 ounces
Now, if we includes a package that weighs 219 ounces
The new mean = (29+19+69+24+64+59+219)/7 = 69
New median (19,24,29,59,64,69, 219) = 59
Hence, we say that the mean increases more than the median
In the data set below, what is the mode? 9, 4, 9, 2, 8, 2, 1
Answer:
9 and 2
Step-by-step explanation:
both come out 2 times
I need help please i don’t understand
9514 1404 393
Answer:
no
Step-by-step explanation:
The dimensions will be those of a rectangular mirror if the diagonal measure is the hypotenuse of the right triangle with the given side lengths.
The Pythagorean theorem would require for some width w ...
w^2 +24^2 = 30^2
w^2 = 900 -576 = 324
w = √324 = 18
A rectangular mirror with a length of 24 inches and a diagonal of 30 inches will have a width of 18 inches, not 16.
__
The attachment shows that a width of 16 inches is not consistent with a right-angle corner.
_____
Additional comment
If you reduce the given numbers to lowest terms by dividing them by 2, they become 8, 12, 15. That is, the two shortest sides are even and the longest is odd. Any set of integer dimensions for a right triangle must have an even number of odd numbers (0 or 2). These numbers cannot be a Pythagorean triple, so cannot make a right triangle.
The theoretical probability of spinning a 9 is_?
Answer:
The theoretical probability of spinning a sum of 9 is 4/36 or 1/9.
Step-by-step explanation:
Answer: 0%
Step-by-step explanation:
38=-5t²+40t+25 how would I solve for "t"?
Answer:
Step-by-step explanation:
27 please I’ll try to give you brainliest
Answer:
Hexogen
Step-by-step explanation:
Somebody help me pleaseee ???
Answer:
Step-by-step explanation:
Please help me with this one
Answer:
Step-by-step explanation:
B two pairs of sides have the same slope.
I've done this before.
In a survey at a local university, 43% of students say that they get less than the recommended eight hours of sleep per night. In a group of 3500 students, how many would you expect get eight or more hours of sleep per night?
Answer:
1995
Step-by-step explanation:
Percent of students that get more than 8 hours of sleep = 100 -43 = 57%
Number of students that get more than 8 hours of sleep = 57% x 3500
0.57 x 3500 = 1995 students
Help i dont know how to do it, pls explain also how did you get ur answer so i can gain information how to do it next time. Thank you
What is the measurement of angle 2?
A- 20 degrees
B- 30 degrees
C- 70 degrees
D- 110 degrees
Answer:
∠ 2 = 70°
Step-by-step explanation:
∠ 2 and 70° are vertical angles and are congruent, then
∠ 2 = 70°
does anyone wanna do my iready IM GIVING 77 POINTS OR MORE. i have 240 points in total sooooo yeah i can give a lot. its 8th grade iready.
Answer:
YAY
Step-by-step explanation:
What is the area of a circle with a radius of 3 cm
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer......
A ≈ 28.27cm²Hope it helps!
Mark me brainliest pls......
Follow me! :)
Answer:
28.26
Step-by-step explanation:
Area of a circle:
A = πr²
A = 3.14(3²)
A = 3.14(9)
A = 28.26
PLZZ HELP!! ASAP
Two 3 digit numbers are formed using the same integers and when they are added the form another 3 digit number with the same integers, find the added number?
options
a) 954
b) 682
c) 488
d) 890
as for my ans is C...
can you correct me if im wrongX
Resuelva y responda a la pregunta: Andrés es mayor que su hermano Alex. Dentro de 3 años, la edad de Alex será la edad que tiene ahora Andrés y, dentro 9 años, la edad de Andrés será el doble de la edad que Alex tiene ahora. ¿Qué edades tienen los hermanos?
Answer:
Andrés tiene 15 años y Alex tiene 12 años.
Step-by-step explanation:
Como el enunciado dice que dentro de 3 años, la edad de Alex será la edad que tiene ahora Andrés puedes escribir una ecuación que indique que la edad de Andrés es igual a la edad de Alex más 3:
x=y+3, donde:
x es la edad de Andrés
y es la edad de Alex
Además, como se indica que dentro 9 años, la edad de Andrés será el doble de la edad que Alex tiene ahora puedes escribir una ecuación que indique que la edad de Andrés más 9 es igual a dos veces la edad de Alex:
x+9=2y
Ahora puedes reemplazar x=y+3 en x+9=2y y despejar y:
y+3+9=2y
12=2y-y
y=12
Finalmente, puedes reemplazar el valor de y en x=y+3 para encontrar el valor de x:
x=y+3
x=12+3
x=15
De acuerdo a esto, la respuesta es que Andrés tiene 15 años y Alex tiene 12 años.
which line has a constant proportionality of 4
Answer:
Line A
Step-by-step explanation:
Line A has a constant of proportionality (slope) of 4.
Find the value of n in the figure below. Assume that the lines are parallel. What is the answer????
Answer:
C
Step-by-step explanation:
75= to that equation
75-15=60/2=30
n=30
Please only answer this if ur not just guessing.
sally and belvedere are collecting shirt with a ratio of 4:10. if they collected 462 shirts altogether, how many shirts did sally collect?
Answer:
132
Step-by-step explanation:
the ratio for saly is 4 out of 14. so 4/14 is 0.28571429. and if you multiply that by the total collected shirts which is 462, you get 132 :)))
Help?!!!!!!!!!!!!!!!!!
Answer:
A.
Step-by-step explanation:
Divide 82 by 5.25 ([tex]5\frac{1}{4}[/tex] in decimal form). [tex]\frac{82}{5.25}=15.619047619047619047...[/tex], which can be rounded to 15.6 inches , so the answer is A. Hope this helps!
Please mark me as brainliest!NI -
16
2
Which of the following is equivalent to
O 6
08
O 12
O 64
Answer:B
Step-by-step explanation:
The equivalent expression is 8.
Option B is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
[tex](16^{3/2})^{1/2}[/tex]
This can be written as,
= [tex]16^{3/2 \times 1/2}[/tex]
= [tex]16^{3/4}[/tex] ______(1)
Now,
16 = [tex]2^4[/tex] ______(2)
Now,
From (1) and (2),
= [tex]2^{4 \times 3/4}[/tex]
= 2³
= 8
Thus,
The equivalent expression is 8.
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What is 1.154701 as a rational denominator?
Answer:
Convert to a mixed number by placing the numbers to the right of the decimal over
1000000
. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
1154701/1000000
Step-by-step explanation:
Please help, solve for x
Answer:
x = 7
Step-by-step explanation:
5(x + 5) = 10 x 6
5x + 25 = 60
5x = 35
x = 7
Simply by dividing 3/5 (-4/9) ???!!
EFGH is a parallelogram. Find m
Answer:
70°
Step-by-step explanation:
Sum of angles in a parallelogram is 360°
Opposite angles are equal
2(16x - 2) + 2(8x + 14) = 360°
32x - 4 + 16x + 28 = 360°
32x + 16x + 28 - 4 = 360°
48x + 24 = 360°
48x = 360 - 24
48x = 336
x = 7
m< E = 8x + 14
Substitute for x
= 8(7) + 14
= 56 + 14
= 70°
2.
For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.
A. yes; y = -1/3x
B. yes; y = x – 3.3
C. yes; y = –3.3x
D. no
Answer:
D. no
Step-by-step explanation:
im pretty sure its d. no
I need help with this question please
Answer:
D
Step-by-step explanation:
Hector took 1 hour and 25 mintues to finish the test. (D)!