Answer: x= 1, [tex]\frac{1}{5\\}[/tex]
Step-by-step explanation:
The quadratic equation is
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
and
[tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
So we just need to sub in the proper numbers from the equation given, in this case, it would result in
[tex]x=\frac{6+\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]
and
[tex]x=\frac{6-\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]
Once we get this we can either manually simplify or use a calculator, using a calculator would result in the answers
x= 1, [tex]\frac{1}{5\\}[/tex]
A light aircraft travels 6 miles per hour less than three times the speed of a van. If the van can travel 72 miles in the same time it takes the aircraft to travel 204 miles, then what is the average speed of each?
Answer:
Van: 36 mph.
Plane: 102 mph.
Step-by-step explanation:
x = speed of van
y = common time value
(3x - 6) * y = 204 // plane
x * y = 72 // van
3xy - 6y = 204 // plane simplified
We can now substitute 72 for xy in the equation above.
3*72 - 6y = 204 --> 216 - 6y = 204
We now subtract 216 from both sides.
-6y = -12
We now divide both sides by -1 to get rid of the negative sign & then divide both sides by 6 to simplify.
y = 2
If x*y = 72, then x = 72/y = 72/2 = 36.
Thus, the speed of the van is 36 mph.
We can find the speed of the plane by using the equation from earlier, 3x - 6.
3x - 6 = 3*36 - 6 = 108 - 6 = 102.
x/5=13
how do you solve for x
Answer:
X=65
Step-by-step explanation:
X/5=13
X=13×5
=65
hope it helps!!!
help me solve this problem
Step-by-step explanation:
i don't get the question
THE STUDENTS ON THE SCHOOL NEWSPAPER ARE CONTRIBUTING MONEY FOR A GIFT FOR THEIR STAFF ADVISOR. THE COST PER STUDENT FOR THE GIFT VAIES INVERSELY AS THE NUMBER OF STUDENTS WHO CONTRIBUTE. iT WILL COST $6 PER STUDENT IF 12 STUDENTS CONTRIBUTE. HOW MUCH WILL IT COST PER PERSON IF 15 STUDENTS CONTRIBUTE
Answer:
ok
Step-by-step explanation:
Complete the slope-intercept form of this line.
y=-4x +
Answer:
It is y = -4x + 9
Step-by-step explanation:
General equation of a line:
[tex]y = mx + c[/tex]
For a y-intercept, c :
consider point (2, 1):
y is 1, x is 2 and m is -4
[tex]y = mx + c \\ 1 = (2 \times - 4) + c \\ 1 = - 8 + c \\ c = 1 + 8 \\ c = 9[/tex]
therefore, equation is:
[tex]y = - 4x + 9[/tex]
The complete form of the equation is y = - 4x + 9
The slope intercept form of the line is given as:
y = - 4x + c
Where c = intercept , we need to calculate, c
Take any given value of y and x and substitute into the equation, the solve for c
Take x = 1, y = 5
5 = - 4(1) + c
5 = - 4 + c
Add 4 to both sides
5 + 4 = - 4 + c + 4
9 = c
Hence, the complete form of the equation is y = - 4x + 9
Learn more : https://brainly.com/question/20976827?referrer=searchResults
-1 and 3 tenths plus 4 tenths
The answer you are looking for is -9/10, or -0.9.
Solution:
-1 3/10+4/10
-13/10+4/10
-9/10, or -0.9
Answer:
-0.9
Step-by-step explanation:
Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.
Answer:
7 DVDs
Step-by-step explanation:
Christine spent $29.50 in total, and $5 on the membership.
so the amount of money spent on DVDs is $29.50 - $5, or $24.50.
The number of DVDs she rent are $24.50 / $3.50 = 7 DVDs
Answer:
7 DVDs
Step-by-step explanation:
We can create an equation to found out how many DVDs she rents. Let d = number of DVDs she rents.
3.50d + 5 = 29.50
~Subtract 5 to both sides
3.50d = 24.50
~Divide 3.50 to both sides
d = 7
Best of Luck!
find the GCF from the two numbers and rewrite the sum using nthe distributive property
24 + 36
Answer:
The greatest common factor is 6.
Step-by-step explanation:
Greatest common factor is 6. If you use the distributive property then the answer would be 6(4) + 6(6) or 6(4+6). Then you distribute the 6 to each digit and should get 24+36.
Find any domain restrictions on the given rational equation x/x+4 + 12/x^2+5x+4 = 8x/5x-15
Answer:
x ≠ -4, -1, 3
Step-by-step explanation:
12/(x^2+5x+4) = 8x/(5x-15)
12/((x+1)(x+4)) = 8x/(5(x-3))
division by zero is undefined
There are 3 answers to your question. x= -1 x= 3 x= -4
Robins 15 18 27 30 cardinals 5 6 9 10 what’s the proportionality ratio of robins to cardinals
Answer:
3:1
Step-by-step explanation:
The Robins' numbers are 3 times the cardinal's numbers, so therefore when simplified, the ratio is 3 to 1, 3:1, or 3/1.
This cube and cuboid have the same volume. The length, width and height of the cuboid are all different whole numbers. Suggest what they might be. 4 cm 4 cm width 4 cm height length
Answer:
4hdunzkzmfindudjdkzmd
Note: Enter your answer and show all the steps you use to solve this problem in the space provided. 6 × 5 + 3 × 8
Make it simple, please
Answer:
54
Step-by-step explanation:
6x5=30
3x8=24
30+24=54
if f(x)=3x+8/2x-Aand f(0)=2.what is the value of a?
Answer:
[tex]a=-4[/tex]
Step-by-step explanation:
Since [tex]f(x)=\frac{3x+8}{2x-a}[/tex], we have
[tex]2=f(0)=\frac{3(0)+8}{2(0)-a}=-\frac8a[/tex]
Taking the reciprocal gives
[tex]-\frac a8=\frac12[/tex]
Then multiplying by [tex]-8[/tex] gives
[tex]a=\frac12(-8)=-4[/tex]
I need help with this problem please
Answer:
38
Step-by-step explanation:
10 + 4 + 2 + 9 = 25
That's the stuff we're given.
Now the other sides.
10 - 2 = 8,
9 - 4 = 5,
25 + 8 + 5 = 38
find the value of x
x = [?]
Answer
4
Step by step explanation
2/3=x/10-x
cross multiply
2(10-x)=3x
20-2x=3x
20=3x+2x
20=5x
x=4
Can anyone solve this linear equation with elimination method? Please its important!
If your destination is 60 miles away, how many mph do you have to travel, in order to get there in 15 minutes
Answer:
4 miles per hour
Step-by-step explanation:
Examine the tile pattern at right
b. The pattern grow by adding 1 tile above the tile and adding 1 tile at the right of the tile.
c. In figure 0, there will be 1 tile. We know this because in each successive figures a tile is added at the above and a tile is added to the right, so ineach preceeding figure the same is reduced. In figure 1, there are e tiles, so in figure 0, there will be 3-2 = 1 tile.
help plsss . 10 points !
Answer:
B
Step-by-step explanation:
(7×2)⁶
when we put a number to the power of something, we need to include the whole number. bit just a part of it.
so, it must be 7⁶×2⁶
just think about the simple example 6², which we could write as (2×3)².
would it be sufficient to e.g. square only one of the factors ?
6² = 36
but e.g. 2×3² = 18. so, that's really not it.
or add the two factors and then square them ?
2+3 = 5. 5² = 25. so, that's not it either.
or multiply the exponent in ?
2×3×2 = 12. so that's not it either.
no, it truly is you need to do the operation to all parts.
2²×3² = 4×9 = 36. yes, that fits.
therefore, B is the right answer.
The winning team's score in 5 high school basketball games was recorded. If the sample mean is 62.3 points and the sample standard deviation is 11.0 points, find the
98% confidence interval of the true mean.
A) 57.4 < µ < 67.2 B) 50.8 < µ < 73.8
C) 25.4 < µ < 99.2 D) 43.9 < µ < 80.7
Answer:
This is 3.747*11/sqrt(5)=18.4
the interval is (49.9,86.7), the SE added to and subtracted from the mean.
It is B
Thank You
what is the solution of linear equation of cosx(e^2y-y)=e^y sin2x
This is college? Woah I'm not advanced. Middle school!
Consider the set A with n(A) = 20. How many subsets could be formed from this set?
Answer:
There are [tex]2^{20}[/tex] subsets of [tex]A[/tex]
Step-by-step explanation:
Using the formula for the number of subsets of a given (finite) set, the number of subsets of [tex]A[/tex] is
[tex]2^{n(A)}=2^{20}[/tex]
The ratio of sugar to flour in Sydney's favorite recipe for chocolate chip cookies is 3 to 2. If Sydney used 20 tsp of flour, how many tsp of sugar did she use?
Answer:
30 tsp of sugar
Step-by-step explanation:
If 20 is 2 parts of the 5 parts then 1 part is 10
10x3 =30
30 to 20 = 3 to2
6.5 / (2.2 x 3.6 / 7.92)
(pls help)
Answer:
6.89
Step-by-step explanation:
Do what's in the parentheses first then the rest and I rounded. Hope this helps!
How to solve 3/7m=6 ?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m = 14[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'm'...}}}\\\\(\frac{3}{7}) m=6\\\\-------------\\\rightarrow (\frac{3}{7}m)7 = 6*7\\\\\rightarrow 3m = 42\\\\\rightarrow \frac{3m=42}{3}\\\\\rightarrow \boxed{m= 14}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
For what values of k will the equation 4x² + 8x + k = 0 have two complex solutions?
Answer:
k = -4x² - 8x
Step-by-step explanation:
Subtract 4x² from both sides of the equation.
8x + k = -4x²
Subtract 8x from both sides of the equation.
k = -4x² - 8x
Answer:
k > 4
Step-by-step explanation:
Using the discriminant to determine the nature of the solutions
• If b² - 4ac < 0 then the solutions are not real, that is they are complex
Given
4x² + 8x + k = 0
with a = 4, b = 8, c = k , then
8² - (4 × 4 × k) < 0
64 - 16k < 0 ( subtract 64 from both sides )
- 16k < - 64
Divide both sides by - 16, reversing the symbol as a result of dividing by a negative quantity.
k > 4
Any value of k greater than 4 will mean the equation has 2 complex solutions
what is four fifteenths times two thirds?
Answer:
Try 0.17? I hope it's right
Answer:
2 10/15 or 2 2/3 (simplified)
Step-by-step explanation:
To Multiply we need to get the same denominator for each fraction:
2 x 5 =10
3 x 5 =15
10/15
4/15 x 10/15 (or) 4 x 10 = 40/15
40/15 (also) = 2 10/15
2 2/3 (simplified version of 2 10/15)
Hope This Helps! :)
12.5 x 0.8
(without rounding and pls help me)
Answer:
That’s simple 10
Step-by-step explanation
Let me know if I’m correct
hope this helps
Rational or Irrational: -4 √81
Answer:
it is rational
Step-by-step explanation:
Answer:
it's rational number
I hope it's helps you
Select the variable for the number of miles traveled last month. Conduct a hypothesis test to determine whether the mean miles traveled last month equals 10,000. Use the .01 significance level. Find the p-value and explain what it means.
look it up dum dum this app got me a f+ >:(