Answer:
x = ±2 sqrt(3)
Step-by-step explanation:
3/4 x^2-4=5
Add 4 to each side
3/4 x^2-4+4=5+4
3/4 x^2=9
Multiply each side by 4/3
4/3 * 3/4 x^2 = 9 * 4/3
x^2 = 12
Take the square root of each side
sqrt(x^2) = ±sqrt(12)
x = ±sqrt(4*3)
x = ± sqrt(4) sqrt(3)
x = ±2 sqrt(3)
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[tex] \frac{3}{4} {x}^{2} - 4 = 5 \\ [/tex]
Add sides 4
[tex] \frac{3}{4} {x}^{2} - 4 + 4 = 5 + 4 \\ [/tex]
[tex] \frac{3}{4} {x}^{2} = 9 \\ [/tex]
Multiply sides by 4
[tex]4 \times \frac{3}{4} {x}^{2} = 4 \times 9 \\ [/tex]
[tex]3 {x}^{2} = 36[/tex]
Divide sides by 3
[tex] \frac{3 {x}^{2} }{3} = \frac{36}{3} \\ [/tex]
[tex] {x}^{2} = 12[/tex]
[tex]x = ± \: \sqrt{12} [/tex]
[tex]x = ± \: \sqrt{4 \times 3} [/tex]
[tex]x = ± \: \sqrt{ {2}^{2} \times 3 } [/tex]
[tex]x = ± \: 2 \sqrt{3} [/tex]
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What is the vertex of the graph of the function below?
y= x2 - 10x + 21
O A. (5,-4)
B. (3,0)
O C. (5,0)
OD. (3,-4)
Answer:
Step-by-step explanation:
A. (5,-4)
The vertex of the graph of the function is (5,-4).
The answer is option A.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the vertex of the function y = x² - 10x + 21,
We can use the formula:
x = -b/2a
where a is the coefficient of the x² term, b is the coefficient of the x term, and x is the x-coordinate of the vertex.
In this case,
a = 1 and b = -10, so:
x = -(-10)/(2 x 1) = 5
To find the y-coordinate of the vertex, we can substitute x = 5 into the function:
y = (5)² - 10(5) + 21 = -4
Therefore,
The vertex of the graph of the function is (5,-4).
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ejemplos de funciones exponenciales
Answer:
Un ejemplo de función exponencial es el crecimiento de bacterias. Algunas bacterias se duplican cada hora. Si comienza con 1 bacteria y se duplica cada hora, tendrá 2 veces más bacterias después de x horas. Esto se puede escribir como f (x) = 2x.
Step-by-step explanation:
Esto es de google ni siquiera voy a mentir
Be good peeps The adult height of a male is about 1.19
times his height at age 12. The adult height
of a female is about 1.07 times her height
at age 12. Predict how tall each of these
people were when they were 12.
a) an adult male 1.8 m tall
b) an adult female 1.8 m tall
1
Answer:
are you working with ratios, rates, and percents?
Step-by-step explanation:
Each morning, Joey leaves his house at 7:25 A.M. It takes Joey 10 minutes to walk to the bus stop. Joey rides the bus for 50 minutes and then walks 5 minutes to his office. What time does Joey arrive at work?
Answer:
8:30 AM
Step-by-step explanation:
10 minutes from 7:25 is 7:35, add 50 minutes and then that's 8:25. Add another five minutes, and then the time is 8:30
Four times the sum of a number x and a number y is equal to 20.
Answer:
4*(x+y)=20
Step-by-step explanation:
sum means add all together. and sum of a number means number added all together.
The given statement "Four times the sum of a number x and a number y is equal to 20" is written in the form of an expression as 4(x+y)=20.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "Four times the sum of a number x and a number y is equal to 20" can be written in the form of an expression as,
Sum of a number x and a number y → (x+y)Four times the sum of a number x and a number y → 4(x+y)Four times the sum of a number x and a number y is equal to 20 → 4(x+y)=20Hence, The given statement "Four times the sum of a number x and a number y is equal to 20" is written in the form of an expression as 4(x+y)=20.
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Let cos A = [tex]1/\sqrt{10}[/tex] with A in QI and find sin(2A)
9514 1404 393
Answer:
sin(2A) = 0.6
Step-by-step explanation:
A couple of trig identities are involved:
sin(α) = √(1 -cos(α)²)
sin(2α) = 2sin(α)cos(α)
__
First, we need to find sin(A):
[tex]\sin{(A)}=\sqrt{1-\dfrac{1}{(\sqrt{10})^2}}=\sqrt{\dfrac{9}{10}}=\dfrac{3}{\sqrt{10}}\\\\\sin{(2A)}=2\sin{(A)}\cos{(A)}=2\cdot\dfrac{3}{\sqrt{10}}\cdot\dfrac{1}{\sqrt{10}}\\\\\boxed{\sin{(2A)}=\dfrac{6}{10}=0.6}[/tex]
__
Alternate solution
Your calculator can also find this for you:
sin(2A) = sin(2·arccos(1/√10)) = 0.6
Answer:
hope this pic helps. enjoy
Liz works as a lifeguard at her community pool and at the beach on Saturday she worked at the pool for 6 hours and earned $46.50 on Sunday she worked at the beach for 5 hours and earn $46.25 how much more per hour did Liz Hernandez the beach then at the pool
Answer:DK
Step-by-step explanation:
Answer:
1.50
Step-by-step explanation:
You want to find how much more per hour Liz earned at the beach.
First, find the unit rate for each lifeguarding job.
At the pool, Liz earned $46.50 for 6 hours of lifeguarding.
$46.50÷6
6hours÷6
=
$7.75
1hour
At the beach, Liz earned $46.25 for 5 hours of lifeguarding.
$46.25÷5
5hours÷5
=
$9.25
1hour
Then, subtract the unit rates.
$9.25–$7.75=$1.50
Liz made $1.50 more per hour at the beach than she did at the pool.
What is the equation for the line in slope-intercept form? Enter your answer in the box.
Step-by-step explanation:
let eqn be y = mx + b.
m = (5 - (-11))/(0 - 4) = -4
sub (0, 5):
5 = -4(0) + b
b = 5
therefore, eqn is y = -4x + 5
Topic: coordinate geometry
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Answer:
the answer is y = -4x + 5
Step-by-step explanation:
i had the same question and got it correct :) good luck :D
Which of the following expressions demonstrates the distributive property?
Answer:
3(-8 + 1) = 3(-8) + 3(1)
At a store, 2 notebooks cost $6. Each notebook costs the same amount of money.
Select all that apply.
The store charges $3 per notebook.
The store charges $15 for 5 notebooks.
The store charges $13 for 9 notebooks.
The store charges $4 for 12 notebooks. Which statements are true?
Answer:
First Option
Step-by-step explanation:
6 divided by 2 = 3 per notebook
Answer:
The store charges $3 per notebook.
The store charges $15 for 5 notebooks.
What is 1.53 to the nearest tenth
Answer:
1.50
Step-by-step explanation:
The tenths place is the number to the exact right of the decimal, in this case it would be the 5. To round, you need to look to the number to the right of it, in this case it would be the 3.
There's this rule, there's also a rhyme, but I can't remember it atm, anyways it's 5 or higher you round up, 4 or lower you round down. So because it's a 3 you round down, which bascially means it stays the same.
When 0.575 is divided by 0.8, the quotient is
Answer:The quotient is 0.71875
Step-by-step explanation:
surface area of a cube is given as 480 square inches. how long is each edge?
Answer:
2880
Step-by-step explanation:
(Warning I may have this wrong, and in any way shape or form you get this question wrong i apologize)
There are 6 faces on a cube, and if each face is 480 square inches you must simply multiply 6x480.
Hope this helps :)
A bottle contains 60 fluid ounces of syrup. Each day, you use 3 1/4 fluid ounces of syrup from the bottle. Is there enough syrup in the bottle for 20 days? yes or no.
Answer:
no
Step-by-step explanation:
20*3.25grter than 60
Answer:
No.
Step-by-step explanation:
using syrup for 1 day = 3 1/4 = 13/4
using syrup for 20 days = 20 * 13/4 = 65 fluid ounces
It will 5 fluid ounces short from demand.
The degree received after completing a two-year program at a community college is called a....
HELP PLEASE
Answer:
It's choice D.
Consider the equation.
(b^6)^m=(b^6)^3*(b^5)^6
What is m?
Answer: m = 12
[tex](b^{4})^{m}=(b^{6})^{3}.(b^{5})^{6}\\\\<=> b^{4m}=b^{18}.b^{30} \\\\<=> b^{4m}=b^{48}[/tex]
=> 4m = 48
<=> m = 48/4 = 12
Step-by-step explanation:
PLZ HELP ME WITH MY PROJECT
tell me 10 things that you like about distance learning and the 10 things that you dislike about distance learning.
Things I like about distance learning are:
I get to sleep in a bit.My schedule is more flexible.I can work in different environments.I can have my pets with me while in class!Fewer group projects (I dislike most group projects as I do most of the work)I have more resources.I can ask my parents and siblings for help if needed.Fewer distractions.I can stay in comfy clothes all day.Fewer restrictions/ more freedom.Things I dislike about distance learning:
I don't get to see my friends every day.I get more headaches since I'm in front of a screen all day.It's harder to be motivated.It's easier to get behind on assignments.I don't get to meet new people (In-person ofc)It's harder to do classes like gym or art with online learning.Online school can be difficult if you have technology issues.I don't get to see my teachers.I can't do school sports and school-related activities.I'm an extrovert so I can't socialize.Hope this helps! Good luck on your project! :)
a cow heart beat 325 in 5 minutes. about how many times does a cow's heart beat in 2 minutes?
Answer:
130
Step-by-step explanation:
You can make a ratio - 325:5, then we can simplify it to 65:1, where we are comparing # of beats in 1 minute. Now, we can just multiply both sides by two, getting us 130:2, which is just 130 beats.
A movie theater currently seats 400 people.
After a renovation, the movie theater will have larger
seats, so it will only be able to seat 320 people.
What is the percent decrease in the number of seats? ,, i need help asap.
Answer: 20%
Step-by-step explanation: As a fraction, the decrease would be 80/400 as we should know. To find the percentage, you put 80/400 in simplest form which 1/5. And since a fraction is a division problem and you want to find the answer as a percentage, you divide 1 by 5 and get 0.20. To convert a decimal into a percentage, multiply the decimal by 100. This means move the decimal space twice to the right and put a % to get 20%.
hope this helped. have a great day!!
Marco bought a box of nails at a hardware store for $3.60. If the box contains 180 nails, the equation 3.60 = 180k can be used to determine the unit cost per nail. Which best describes k
Answer:
0.02
Step-by-step explaination
3.60 divided by 180 = 0.02
Answer:
0.2
Step-by-step explanation:
The box of nails is the cost of $3.60 and the nails inside the box contains 180k nails.
3.60 = 180k.
It wont make since to add or multiply because the number decreased now I have tried subtracting.. Still didn't work because its not in the answer choices. I tried diving and got 0.2.
I told you how I solved this question when I got it.
Helpp!!
3(x+2)+3x=36
Answer:
x=5
Step-by-step explanation:
Help pleaseeeeeeeeeeeeeeeeeeeeeee
Answer:
1/5 pound
I just did this on paper and got 1/5 pound (23/40)
Mya and three friends are going to dinner. The bill came to $124.56. If each person pays the same amount, how much would they pay?
each small square in the graph paper represents 1 square unit. tap picture.
Answer: The answer is 96 square units.
Step-by-step explanation:
(Because it's 8 square units long and 12 square units wide. L x W = Area)
So you have to do 12 x 8 and you should get the answer 96 square units.
Graph y = -2x + 5 and y
and y = - 1 2 - 3
Are the lines parallel, perpendicular, or neither?
A square has a side length of 2x^4 centimeters. Represent the area of the square using exponents.
Answer:
4x⁸
Step-by-step explanation:
To square 2x⁴, write it as (2x⁴)². By following exponent rules, you should know that you have to multiply the exponents. Therefore your answer would be 4x⁸ because the exponent also needs to apply to the coefficient.
Beverley has quarters and dimes in her pocket. She has 21 coins with a total value of $3.00. How many of each type of coin does she have? [?] quarters [ dimes Enter the number that belongs in the green box. Enter
Answer:
Step-by-step explanation:
If all 21 coins were dimes, she'd have $2.10. But she has 90 more cents than that. Now for each coin that's a quarter, not a dime, she has 15 cents more. 90/15= 6. So there are 6 quarters, and 21-6 = 15 dimes.
Now we do it backwards to see if it's right. 6 quarters is $1.50, 15 dimes is $1.50, add those together and you get $3. So it's right. 6 quarters, 15 dimes.
Beverley has quarters and dimes in her pocket.
There are 15 dimes and 6 quarters in her pocket.
1 Dime = $ 0.1
1 Quarter = $0.25
Let there be "D" dimes and "Q" Quarters.
So according to the given situation as there are total 21 coins which can be formulated in equation (1)
[tex]\rm Q + D = 21 .......(1) \\[/tex]
Also the total value of money is $3 which can be formulated in equation (2)
[tex]\rm 0.1 D + 0.25 Q = 3 .............(2)[/tex]
Equations (1) and (2) represents two linear equations with two variables
On solving equation (1) and (2) for Q and D we can get
D = 15 and Q = 6
So we can conclude that there are 15 dimes and 6 quarters in Beverley's pocket.
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Which integer is the smallest -6, 0, 3,6 -3,4 -4
Answer:
-6
I hope this helps!
Which of the following materials do not conduct electricity well?
( Answer correctly and ill give brainliest <3)
Answer:
The first one
Step-by-step explanation:
The plastic fork and knife
Please give brainiest
Answer:I believe it’s plastic, or the fork and knife (i’m assuming they’re plastic)
Step-by-step explanation:
PLS HELP ASAP #9 - What was the interest rate on a 3.5-year loan of $1000 if the maturity
value of the note was $1,297.50?
A. 9.5%
B. 7%
C. 5.8%
D. 8.5%
Answer:
......................
