Find the solutions to the equation below.
Check all the apply.
16x^2 - 64 = 0
A. x = 4
B. x = 2
C. x = -64
D. x = -2
E. x = -4
F. x = -8
Answers
Answer:
x = 2
x = - 2
Step-by-step explanation:
⇒ 1: Common Factor
16x² - 64 = 016(x² - 4) = 0⇒ 2: Use the sum-product pattern
16 (x² - 4) = 016 (x² + 2x - 2x - 4) = 0⇒ 3: Common factor from the two pairs
16((x² + 2x) + (-2x - 4) = 016(x(x+2)-2(x+2))=0I dont feel like adding more details.
- rewrite in factored form
16(x(x+2)-2(x+2))=0
16(x-2)(x+2)=0
- create seperate equations
16(x-2)(x+2)=0
x-2=0
x+2=0
- solve
*rearrange and isolate the variable to find each solution
x = -2
x = 2
Answer:
B.x=2
Step-by-step explanation:
[tex]16x ^{2} - 64 = 0[/tex]
[tex]16x ^{2} = 64[/tex]
[tex]4 ^{2} {x}^{2} = {4}^{3} [/tex]
[tex] {x}^{2} = \frac{4 ^{3} }{4 ^{2} } [/tex]
[tex]x^{2} = 4[/tex]
[tex] \sqrt{x ^{2} } = \sqrt{4} [/tex]
[tex]x = 2[/tex]
Related Questions
Bob had 50 cupcakes. he gave 1/5 of the cupcakes to his uncle,, 2/5 of them to his Grandpa. Bob kept the rest. how many cupcakes did each person get?
Answers
Answer:
Uncle=10, Grandpa=20, Bob=20
Step-by-step explanation:
Uncle: 50* 1/5 = 10
Grandpa: 50 * 2/5= 20
Bob: 50-(10+20)=20
Answer:
Uncle=10, Grandpa=20, Bob=20
Step-by-step explanation:
Uncle: 50* 1/5 = 10
Grandpa: 50 * 2/5= 20
Bob: 50-(10+20)=20
Step-by-step explanation:
Question 5 of 10
Factor the polynomial: x(3x + 5) - 4(3x + 5)
A. -4x(3x + 5)
B. (3x + 5)(x + 4)
C. 4x(3x + 5)
D. (3x + 5)(x-4)
HURRY PLEASE
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Take (3x + 5) common in there :
[tex]\qquad \tt \dashrightarrow \:x(3x + 5) - 4(3x + 5)[/tex]
[tex]\qquad \tt \dashrightarrow (3x + 5) (x - 4)[/tex]
So, choice D is correct
What are the solution to the equation below? 4x^2+ 9 = 25
Answers
that is the complete answer to the question
A babysitter charges a rate of $15 per hour. how long was the babysitter there if she makes $5
Answers
Answer:
20 mins.
Step-by-step explanation:
A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $5?
x = hours she babysat
Equation:
15x = 5
Divide to isolate x:
15x = 5
/15 /15
x = 1/3 hrs.
Now, we convert into minutes, since she didn't work for a whole hour, to earn the $15
We know that there are 60 mins. in an hour
60 * 1/3
60/3
20 mins.
Therefore, the babysitter was there for 20 mins.
Hope this helps!
Joe has 1500 minutes per month on her cell phone how many more minutes can she use if she already use 325 minutes
Answers
Answer:
1500-325
=1125
Step-by-step explanation:
1500 minutes minus 325 minutes is equal to 1125 minutes remaining
Two number cubes whose sides are numbered 1 through 6 are rolled on a table. The two numbers showing are added. If you repeat this process 300 times, how many times would you expect the two cubes to add to exactly 7? ASAP
Answers
Answer:
50 times.
Step-by-step explanation:
When the 2 number cubes are rolled once:
The possible outcomes for a total of 7 are:
1 and 6
6 and 1
2 and 5
5 and 2
3 and 4
4 and 3
= 6 outcomes.
The total of all possible outcomes = 6 * 6 = 36.
So Prob( total of 7 in one throw of teh 2 cubes) = 6/36 = 1/6.
For 300 throws you would expect the total of 7 to occur
1/6 * 300 = 50.
Answer:
Step-by-step explanation:
50 IS THE ANSWEr
Samir also picks pumpkins from his garden. He picked 6 7/10 kg, but 2.6 of pumpkins were spoiled and could not be used for decoration. How many kilograms of pumpkins were not spoiled? Write an equation that shows how you reached your answer.
Answers
Answer:
6.7kg - 2.6kg = 4.1kg
Step-by-step explanation:
6 7/10 is equal to 6.7. If we have 6.7kg of pumpkins, but we can't use 2.6kg, then we subtract to find the amount that we can use.
find the possible value of x
Answers
Given:
FigureTo find:
Possible values of xSolving:
Using triangle inequality theorem.
[tex] \large \tt x \: <9 + 6 \: \: \: \: \: \implies \: x \: <15[/tex]
Range = difference < x < Sum
[tex]\large \tt \implies9 - 6 < x \: <9 + 6[/tex]
[tex]\large \tt \implies3 < x < 15[/tex]
_____________________________________compute the probability of tossing a six-sided die and getting a number less than 3
Answers
Answer:
We can think of our denominator as 6 in our probability, because there are 6 total sides to this die.
Out of those 6 sides, they want to find out if we can roll a number less than 3.
First, let's find how many numbers there are on this die that are less than 3.
1 and 2, so there are 2 sides that contain numbers less than 3 on this die.
So there is a 2 out of 6 chance(2/6) which can be simplified to 1/3, of selecting a number less than 3 when rolling a die.
1/3 probability.
Convert this into a percent if you'd want:-
1/3 · 100
= 33.333... which can be rounded to a 33% probability.
Can someone help me do these i don't understand them?
Answers
Answer:
they are extension in computer
(17a ^ 3 * b ^ 2)/(15b ^ 3 * c ^ 2) * (18b ^ 4 * c ^ 3)/(8a ^ 2 * b * c ^ 2) =
Answers
Answer: (51ab^2)/(20c)
STEP
1
:
Equation at the end of step 1
((17•(a3))•(b2)) ((18•(b4))•(c3))
————————————————•————————————————
((15•(b3))•(c2)) ((23a2•b)•c2)
STEP
2
:
Equation at the end of step
2
:
((17•(a3))•(b2)) ((2•32b4)•c3)
————————————————•—————————————
((15•(b3))•(c2)) 23a2bc2
STEP
3
:
(2•32b4c3)
Simplify ——————————
23a2bc2
Dividing exponential expressions :
3.1 b4 divided by b1 = b(4 - 1) = b3
Dividing exponential expressions :
3.2 c3 divided by c2 = c(3 - 2) = c1 = c
Dividing exponents:
3.3 21 divided by 23 = 2(1 - 3) = 2(-2) = 1/22
Equation at the end of step
3
:
((17•(a3))•(b2)) 9b3c
————————————————•————
((15•(b3))•(c2)) 4a2
STEP
4
:
Equation at the end of step
4
:
((17•(a3))•(b2)) 9b3c
————————————————•————
((3•5b3)•c2) 4a2
STEP
5
:
Equation at the end of step
5
:
(17a3 • b2) 9b3c
——————————— • ————
(3•5b3c2) 4a2
STEP
6
:
17a3b2
Simplify —————————
(3•5b3c2)
Dividing exponential expressions :
6.1 b2 divided by b3 = b(2 - 3) = b(-1) = 1/b1 = 1/b
Equation at the end of step
6
:
17a3 9b3c
————— • ————
15bc2 4a2
STEP
7
:
Dividing exponential expressions :
7.1 a3 divided by a2 = a(3 - 2) = a1 = a
Dividing exponential expressions :
7.2 b3 divided by b1 = b(3 - 1) = b2
Dividing exponential expressions :
7.3 c1 divided by c2 = c(1 - 2) = c(-1) = 1/c1 = 1/c
Final result :
51ab2
—————
20c
6. Kayla is planning to buy a new phone. Rongers charges $0 for down payment plus $127 monthly fee. Fidoll charges $363 for down payment plus $94 monthly fee.
a) When will the two plans charge the same amount (the same number of months for both plans)?
b) If both plans are contracted for 2 years (24 months), which plan would you recommend to Kayla? Explain.
Answers
The two plans charge the same amount in 11 months.
The plan I would recommend if the plans are contracted for two months is the Fidoll plan.
When will the two plans charge the same amount?
The equation that represents the amount that would be paid by Kayla if she buys the phone from Rongers is : $127x
Where x represents the number of months
The equation that represents the amount that would be paid by Kayla if she buys the phone from Fidoll is : $363 + $94x
Where x represents the number of months
The two above equations would be equal when the plan charge the same amount: $363 + $94x = $127x
Combine similar terms
$363 = $127x - $94x
Add similar terms
$363 = $33x
Divide both sides by 33
x = 11 months
Which plan would be recommended if the plan is for 2 years?
Rongers: $127(24) = $3,048
Fidoll = $363 + $94(24) = $2619
I would recommend the Fidoll plan
To learn more about cost, please check: https://brainly.com/question/25879561
a picture on the walls jeremy's classroom has 4 right angles,4 sides of equal length,and 2 pairs of opposite sides that are parallel. what quadrilateral best describes the picture
Answers
Answer:
square
Step-by-step explanation:
A quadrilateral with four right angles will be a rectangle. A rectangle with sides of equal length is a square.
Jeremy's picture is a square.
solve for the missing side!
please be quick i will give brainlist
Answers
Answer:
15m
Step-by-step explanation:
You need to do the Pythagorean Theorem:
a^2 + b^2 = c^2
*(The ^ is meaning to a power or squared in this case)*
You are solving for c which is the hypothenuse!
12^2 + 9^2 = c^2
144+81 = c^2
225 = c^2 *(The opposite of squaring something is the square root)*
c= The square root of 225
That shall be simplified to 15
According to Pythagoras theorem
Base² + perpendicular ² = Hypotenuse ²
12² + 9² = H²
144 + 81 = H²
225 = H²
H = √225
H = 15
Hypotenuse = 15m
HOPE IT HELPS :)
10
10
U
U
g(x)
f(x)
8
10
-2
10-8
2
-108
--2
2
4
-8
- 10
If g(x) = f(x + k), what is the value of k?
Answers
Answer: -6
Step-by-step explanation:
The graph of g is the graph of f translated left 6 units.
a bank offers a savings account with a yearly simple interest rate of 2 percent. suppose you deposit 550 into savings account. how much simple interest will you earn in 4 years? in 4 years and 6 months.
I WILL GIVE YOU 30 IF YOU JUST HELP ME PLEASE?
Answers
Answer:
In 4 years you will get 44 and in 4 years and 6 months you will get 49.5
Step-by-step explanation:
550*0.02= 11 (yearly interest)
11*4 years= 44
11/12months=0.917
0.917*6 months= 5.5
44+5.5=49.5 (4 years and 6 months interest)
For which values of x is the expression undefined x-8/x-5
Answers
Answer:
x = 5
Step-by-step explanation:
Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0
x - 5 = 0
x = 5
I hope this helps!
PLS help me with this picture
Answers
Answer:
Collinear points: points that lie on the same straight line or in a single line
Coplanar points: three or more points which lie in the same plane
12. Point collinear with points E and G = C. Point Y
13. Point coplanar with points A, D and H = A. Point E
14. Point coplanar with points A, C and G = A. Point E
15. Point collinear with points B and D = B. Point X
[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]
•— ANSWER12. Point collinear with points E and G = C. Point Y13. Point coplanar with points A, D and H = A. Point E14. Point coplanar with points A, C and G = A. Point E15. Point collinear with points B and D = B. Point X•— EXPLANATIONCollinear points — Collinear points are points that lie on the same line.
Coplanar points — Any three points in space that lie on the same plane are called coplanar points.
[tex]\green{ - - - - - - - - - - - - - - - - - - }[/tex]
What is the vertex for this function?
y=2x^2−12x+16
(-2, 12)
(-2, 3)
(-12, 36)
(3, -2)
Answers
Answer:
Step-by-step explanation:
hello :
y=2x²−12x+16
y = 2(x²-6x+9-9)+16
y = 2(x-3)²-18+16
y = 2(x-3)²-2.....vertex -form when the vertex is : (3, -2)
Simple help me please and thank you !
Answers
Answer:
y=mx
Step-by-step explanation:
I actually dont know if this is wrong I am terribly sorry I just went off of my notes.
Maren is completing a wood working project. She needs 90 feet of wood. She has 8 pieces of wood that are each 6.2 feet long in her garage. How much more wood will she need to complete the wood working project?
Answers
Answer:
She needs 40.4 feet of wood.
Step-by-step explanation:
➾ She had 8 pieces of wood that are 6.2 feet each, so total length of wood she had = 8×6.2
= 49.6feet.
➾She needs total 90feet. of wood and she had already 49.6 feet of wood.
So, now wood she needed = 90-49.6
= 40.4feet.
____________________________
Hope it helps you:)
Answer:
She needs 40.4 feet of wood
Step-by-step explanation:
Given :-
Maren has 8 piece of wood which are 6.2 feet longShe needs total 90 feet of woodTo find:-
How much wood will she need moreSolution:-
Amount of wood she needs more :-
Wood she wanted to complete project — Wood she already have
by putting the value ,
90 feet — 8 × 6.2 feet
= 40.4 feet
Consider this graph of a standard normal curve.
What percentage of data is represented by the shaded area?
Enter your answer as a number, like this: 42%
Answers
In how many ways could you select 2 of the 6 possible different brands of
orange juice at the store?
Answers
Answer:
15 different ways you can select 2 of 6 brands of orange juice
Step-by-step explanation:
Brand 1
Brand 2
Brand 3
Brand 4
Brand 5
Brand 6
1. (B1, B2)
2. (B1, B3)
3. (B1, B4)
4. (B1, B5)
5. (B1, B6)
6. (B2, B3)
7. (B2, B4)
8. (B2, B5)
9. (B2, B6)
10. (B3, B4)
11. (B3, B5)
12. (B3, B6)
13. (B4, B5)
14. (B4, B6)
15. (B5, B6)
Determine the lateral and total surface area
of the regular triangular pyramid.
15 cm
13 cm
Lateral Surface Area
Total Surface Area
Answers
The areas of the square pyramid are the amount of space on it
The lateral surface area is 292.5 square cmThe total surface area is 354.85 square cmHow to determine the lateral surface area?The given parameters are:
Base (b) = 15 cm
Slant height (l) = 13 cm
The lateral surface area is calculated using:
L = 1.5bl
So, we have:
L = 1.5 * 15 * 13
Evaluate the product
L = 292.5
How to determine the total surface area?This is calculated using:
T = L + 0.25√3b^2
So, we have:
T = 292.5 + 0.25√3 * 12^2
Evaluate
T = 354.85
Hence, the total surface area is 354.85 square cm
Read more about areas at:
https://brainly.com/question/24487155
Joanne earns $3,000 per month at her job at the department store. If her taxes are 28 percent of her pay, what is her monthly take-home pay?
Answers
So 28 percent of 3000$ is
3000*28/100 where 3000*28 is equal to
84000/100
840$ is 28 percent of 3000$
So to fine the remaining amount of money after she pays that amount is
3000$-840$
Which is equal to 2160$
Find the quotient and the remainder of
64−133+32+3−12
-------------------------------
−2
Answers
Answer:
Below
Step-by-step explanation:
64-133+32+3-12= -46
-46/2= -23
There is no remainder
Help me please :(( ......
Answers
Answer:
1. Last years middle school and highschool softball teams.
2. I can't see the last option
3. Every girl at the local middle school.
4. A group of students at a college.
5. Survey the students selected blindly put of a box containing every students names.
Step-by-step explanation:
I hope these are correct. comment the last option for #2.
A drug prescription of 45 pills costs $427. 95. If each pill contains 3 mg of medication, what is the cost per milligrams?
Answers
Total milligrams
45(3)135mgCOST PER MG:-
TOTAL COST/total Mg427.95/1353.17$/pillsAnswer:
$3.17
Step-by-step explanation:
1 pill = 3 mg
⇒ 45 pills = 45 × 3 = 135 mg
45 pills = $427.95
⇒ 135 mg = $427.95
⇒ 1 mg = $427.95 ÷ 135 = $3.17
An automotive website would like to estimate the percentage of drivers who own their cars, rather than lease their cars. Which of these survey methods would not provide a convenience sample to estimate the percentage who own their cars?
a survey of adults at an auto parts store
a survey of all adults attending a car show
a survey of people in a car dealership
an online survey for sharing data about their cars
Answers
A survey of all adults attending a car show would not provide a convenience sample to estimate the percentage of drivers who own their cars, rather than lease their cars.
What is a survey?A survey is a research method used to gather information from a sample of individuals about their opinions, behaviors, experiences, or demographic characteristics.
This is because a car show attracts a diverse group of people, including car enthusiasts, potential car buyers, and families looking for entertainment.
Therefore, a survey of all adults attending a car show would provide a more representative sample of the population, compared to the other options listed, which are more likely to provide a convenience sample.
A survey of adults at an auto parts store, a survey of people in a car dealership, and an online survey for sharing data about their cars are more likely to provide a convenience sample because they are only capturing the opinions of people who happen to be present at a particular place or who choose to participate in an online survey.
To know more about the survey follow
https://brainly.com/question/18273502
#SPJ7
ANOTHER 1 HELP ME OUTT
Answers
Answer:
the last one
Step-by-step explanation:
(clustered around 1 and 3)
Answer:
The data are clustered from 1 to 3, so most teams won 1 to 3 games.
Step-by-step explanation:
There is only 1 dot at 8 and more near 1-3