The solution f(x) = -4x2 – 3x + 2 is x=-1.17 and x = 0.43
The correct option is (A)
What is Quadratic equation ?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given equation is :-4x²-3x+2
using the Quadratic Formula where
a = -4, b = -3, and c = 2
x = -b ±√b²-4ac/2a
= 3±√9+32/(-8)
= 3± √41/(-8)
x= 3/(-8) + √41/(-8) or x= 3/(-8)- √41/(-8)
x= -1.17 and x= 0.4253
Learn more about quadratic equation here:
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If 3x-y=12, what is the value of
[tex] \frac{8 ^{x} }{2^{y} } [/tex]
A) 2^12
B) 4^4
C) 8^2
D) The value cannot be determined for the information
Answer:
2¹² (Option A)
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
Any number having 0 as its exponent , the overall result will be 1. For e.g. :- [tex]a^0 = 1[/tex] (where 'a' is any number).Lets say there's a number 'a' having '- x' as its exponent , then - [tex]\frac{1}{a^{-x}} = a^x[/tex]__________________________________________________________
Lets put random values in place of x.
Let x be 0.
Putting x = 0 in the eqn. 3x - y = 12 gives the value of y.
[tex]=> 3 \times 0 - y = 12[/tex]
[tex]=> -y = 12[/tex]
[tex]=> y = -12[/tex]
So, we can conclude that by putting x = 0 , we get y = -12.
Now , putting x = 0 & y = -12 in [tex]\frac{8^x}{2^y}[/tex] gives -
[tex]=> \frac{8^0}{2^{-12}} = \frac{1}{2^{-12}} = 2^{12}[/tex]
Write the rational number in decimal form, rounded to
the thousandths:
Answer:
1.833
Step-by-step explanation:
Please help me with this!!
Answer:
transversal angle
Step-by-step explanation:
You prepare8 scoops of dog food for 4 dogs, and prepare15 scoops of dog food for 6 dogs. Is there a proportional relationship between the number of scoops and the number of dogs?
Choose the correct answer below.
Answer:
Is there a proportional relationship between the number of scoops and the number of dogs?
No.
Step-by-step explanation:
A proportional relationship is something like:
y = k*x
Here y can represent the number of scoops of dog food, and x the number of dogs.
First, we know that for 4 dogs he prepares 8 scoops of dog food, then:
8 = k*4
If the relationship is proportional, then we should have a similar equation for the case of 6 dogs, where he prepares 15 scoops of dog food:
15 = k*6
So if we have the same k in both equations, then there is a proportional relationship between the number of scoops and the number of dogs.
In the first equation we have:
8 = k*4
8/4 = k
2 = k
And in the second equation we have:
15 = k*6
15/6 = k
2.5 = k
The values of k are different, so no, there isn't a proportional relationship between the number of scoops and the number of dogs.
A triangle is shown.
What is the measure of angle x?
Solve the equation by completing the square.
g^2+3g=340
Answer:
g= -20,17
Step-by-step explanation:
i used symbolab plus i just worked this in class
OMG PLEASE HELP IF I DONT PASS THIS I FAIL MY CLASS! HELP! 30 POINTS SHOW WORK IF U NEED TO PLEASE! thank you too anyone(PRETTY PLEASE SHOW HOW YOU DID IT/can you show work)
Answer:
C seems right to me
Step-by-step explanation:
Which value is equivalent to (36)3?
A.
32
B.
33
C.O 39
318
Answer:
108
Step-by-step explanation:
36(3)=108
The correct answer is not on the answer choice.
Whichever answer is the closest to 108, choose it.
please help need answers ASAP!
Answer:
x=e³-5
Step-by-step explanation:
Solve the equation by rewriting in exponential form using the definition of a logarithm and simplifying.
This problem is attempting to TRICK you.
Nevada deposits $4000 in a savings account for 18 months.
The bank is paying 5% interest per year.
How much Interest will Nevada earn from the bank?
What will be the total balance in Nevada’s account after 18 months?
Answer:
nevada will earn $300 interest and the total balance after 18 months is $4,300.
Step-by-Step Explanation:
we use this following formula to find how much interest nevada has :
simple interest = principal * interest rate * time
since the amount of time is in months, we have to convert it into years. we use interest in years ONLY.
1 year = 12 months
1.5 years = 18 months
now that we have the correct values to use this formula in, we now substitute the numbers in.
simple interest = principal * interest rate * time
simple interest = $4,000 * 0.05 * 1.5
here, we converted the percentage rate into a decimal because obviously, you cannot directly multiply percentages by money or normal numbers.
simple interest = principal * interest rate * time
simple interest = $4,000 * 0.05 * 1.5
simple interest = $200 * 1.5 (we multiplied the first two values first so it's easier to get the final answer)
simple interest = $300
we now have to find the total balance on nevada's account after 18 months by using the following formula :
total amount = principal + simple interest
since we know the amount of principal and interest already, all we have to do is substitute the numbers in.
total amount = principal + simple interest
total amount = $4,000 + $300
total amount = $4,300
therefore, nevada's total balance on her account after 18 months is $4,300.
which sequence of transformations creates the function g(x) = .....
Step-by-step explanation:
f(x)= square root of x
g(x)= - square root of -1/2x+3
How many times larger is 3.6 x 106 than 720,000
Answer:
720,000 is 719,618.4 larger than 3.6 x 106
Step-by-step explanation:
Pretty simple question, but how the hell am I supposed to know whether to put an addition sign or a subtraction sign.
Answer:
you must remember + and + equal to minus
Karen is working on her math homework. She solves the equation b/7
= 35 and says that the solution is b = 5. Do you agree or disagree with Karen?
Answer:
disagree
Step-by-step explanation:
subtituting b with 5 we get 5/7=35. they are not equal do karen is not correct.
Answer:
No
Step-by-step explanation:
If the equation was 7b=35 then yes Karen would be correct. However the equation is b/7=35 which would get you b = 245
help help help help help help
Answer:
3
Step-by-step explanation:
I do not really know how to explain it but if you really need an explanation let me know.
Hope this helps :)
Find the unite rate 380 19
Answer:
i have no clue
thank you so much for the points have a good day and im super sorry
Step-by-step explanation:
Write the expressions in standard form. SHOW ALL STEPS! The sum of 9t – 13 and the opposite of 9t.
Answer:
-13
Step-by-step explanation:
Opposite of 9t = -9t
Taking the sum of 9t - 13 and -9t
Sum = 9t - 13 + (-9t)
Sum = 9t - 13 - 9t
Sum = 9t-9t - 13
Sum = -13
Hence the expression in standard form is -13
Help me pls thank you
Answer:
237 degrees
Step-by-step explanation
In an effort to catch a criminal; a superhero is going to leap over a building and take a shortcut down the ally. The function f(x)=−16x^2+150x gives the superhero's height in feet as a function of time. The building is 425 feet high. Will the superhero make it over the building?
A. Yes, the superhero always makes it!
B. No, the superhero can only jump half the height of the building
C. No, the superhero will crash into the building at 351 feet
D. No, the superhero can only jump 150 feet into the air
Answer:C
Step-by-step explanation:
I put it in Desmos calculator and he can only jump 351 ft high
It took Jonah three hours and 45 minutes to drive 240 miles. What was Jonah’s average speed in miles per hour?
Answer:
Step-by-step explanation:
Jonah drove 3 h and 45 min, or 225 minutes
He drove 240 miles
225 minutes...................................240 miles
60 minutes(1H)......................................? miles
(60*240)/225=64
he drove 64 miles per hour
Which expression can be used to find the volume
of the rectangular prism in cubic centimeters?
Image shows a prism with a base area of 245 square cm and a height of 85 cm.
A. 85 + 245 =
B. 85 x 85 x 245 = ?
C. 85 + ( 85 x 245 ) = ?
D. 85 x 245 = ?
Answer:
85x85x245
Step-by-step explanation:
find the value of given expression
[tex] \sqrt[3]{9 - 1} [/tex]
Answer:
2 ans ......
Step-by-step explanation:
Solution:
= ³√9-1
= ³√8
= 2 ans....
Answer:
[tex] \sqrt[3]{9 - 1} = \sqrt[3]{8 } = \sqrt[3]{ {2}^{3} } = + - 2[/tex]
What is the value of 703 x 85? Show all your work.
Answer:
59755
Step-by-step explanation:
basically you just do 703 x 85 on an calculator and thats the answer
2.
NEED HELP ASAP WILL GIVE BRAINLY
Answer:
47.04 square feet
Step-by-step explanation:
Anyone help ASAP pls!!
Answer:
Step-by-step explanation:
I need help? anyone know the answer?
Answer:
the answer you are looking for is B
Hi, I dont understand this. can anyone explain how to solve it ASAP?
What is the x-value of the solution to the system of equations?
5x + 4y = 8
2x − 3y = 17
a. −3
b. −2
c. 4
d. 5
Answer:
x=4, y=-3. (4, -3).
Step-by-step explanation:
5x+4y=8
2x-3y=17
--------------
2(5x+4y)=2(8)
-5(2x-3y)=-5(17)
---------------------
10x+8y=16
-10x+15y=-85
-----------------
23y=-69
y=-69/23
y=-3
5x+4(-3)=8
5x-12=8
5x=8+12
5x=20
x=20/5
x=4
es equivalente?
2 10
- y -
3 15
PLS help me
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Answer:
You would multiply (3 times 17) and then add 5. So the equation would look like this.
m=(3*17)+5 Step-by-step explanation:
Answer:
3x 17
do that first then add 5
Step-by-step explanation:
hope this helps
have a nice day/night
plz help!!!!!!!!!!!!!!!