This one is an interesting question.
Lets solve first the equation by isolation of the unknown x:
6x + 6 +2 = (3k / 5x )+3 +3
6x = (3k/5x) + 6 -6-2
6x = (3k/5x) -2
6x = (3k / 5x) - (10x / 5x)
6x = (3k-10x)/5x
6x*5x = 3k - 10x
30x² = 3k - 10x
30x² + 10x = 3k
30x² + 10x - 3k = 0
This is really interesting because this looks exactly like a polynomial function. So we know that there is no solution for a polynomial once the discriminant delta is strictly less than 0.
But delta = b² - 4ac where b = 10, a = 30 and c = -3k
So we need to solve delta < 0
100 - 4*30* (-3k) < 0
100 - 120*(-3)*k < 0
100 - (-360)k < 0
100 + 360k < 0
360k < -100
k < -100/360= -10/36
So there is no solution for all k strictly less than -10/36
Good luck
Are repeating decimals like 34.79 rational numbers?
Answer:
Yes. 34.79 is a rational number because it can be written as a fraction.
Step-by-step explanation:
Hoped this helped.
The quotient of a number, divided by 3, equals-8
Answer:
x / 3 = -8
Step-by-step explanation:
what is the vertex and axis of symmetry for the function f(x)=2(x+5)^2 -4
Order the rational numbers from least to greatest
-25/7
10/7
0/7
-2/7
6/7
-7/7
(i) Find i in terms of P and A.
(ii) If 2500 is invested 3 years ago has a present value of 2650, find the rate of interest, i (correct to one decimal place)
Answer:
See belowStep-by-step explanation:
Given formula:
[tex]A=P(1+i/100)^3[/tex](i)
Solve for i:
[tex]A/P=(1+i/100)^3[/tex][tex]\sqrt[3]{A/P}=1+i/100[/tex][tex]\sqrt[3]{A/P} -1=i/100[/tex][tex]i=100(\sqrt[3]{A/P} -1)[/tex](ii)
P = 2500, A = 2650, find i:
[tex]i =100(\sqrt[3]{2650/2500} -1)[/tex]i ≈ 2.0%A machine cuts a strip of carpet into 2 pieces. the length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (A, 13.5 B, 14 C, 20 D, 28) meters and the total length of the carpet is (A- 25.5, B- 26, C- 32, D- 40) meters
Answer:
The answer to the is 28 and 40! hope this helps love
Help will give Brainlest only true answers only please dont guess
Answer: 75%
Step-by-step explanation:
35% of 5 liters is 1.75 liters
1.75 liters + 8 liters = 9.75 liters (only juice)
(5 liters + 8 liters = 13 liters) (the whole thing)
So, 9.75/13 is 75%
Please help fast Find the volume of a right circular cone that has a height of 15-3 ft and a base with a
radius of 13.9 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
3095.6 ft³
Step-by-step explanation:
Volume cone = 1/3(πr²h)
= 1/3(π(13.9)²(15.3))
= 1/3(π(193.21)(15.3))
= 1/3(2956.113π)
= 985.371π ≈ 3095.6 ft³
-Chetan K
What is the vertex of Y=x^2+5x-7
Answer:
the vertex of this parabola is at (5/2, 47/4)
Step-by-step explanation:
Y=x^2+5x-7 is written in 'standard form' for a quadratic. Comparing this to
y = ax^2 + 5x - 7, we see that a = 1 and b = 5.
-b
The formula for the x-coordinate of the vertex is x = --------
5 2a
which in this case has the value x = ------- = 5/2
2(1)
Now use the quadratic formula to find the y-value of the vertex:
y = (5/2)^2 + 5(5/2) - 7, or
y = 25/4 + 25/2 - 7, or
y = 11.75 or 11 3/4
Thus the vertex of this parabola is at (5/2, 47/4)
Help me with this question
Answer:
Is it for a test
Step-by-step explanation:
Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it
Answer:
She could out 20 necklaces and 20 bracelets on display and she would make $600.
Step-by-step explanation:
$18 necklaces x 20= $360
$12 bracelets x 20 = $240
totalling $600
One evening, 2/3 of Mrs. Thorne’s students watched a reality television show. Of Mrs. Lombardo’s students, 4/5 watched the same reality show: Which teacher has more students watch the reality show?
Answer:
They both had the same amount of students watch the reality show.
Step-by-step explanation:
To find the number of students who watched the reality show in each teacher's class, just multiply the fraction by the total number of students per teacher.
For Mrs. Thorne's:
36 * (2/3) = 24 students
For Mrs. Lombardo's:
30 * (4/5) = 24 students
24 = 24 so they had an equal amount of students from each class watch the reality show.
Solve this equation by elimination method...
2x+7y=-17
3x+10y=-24
Please show work
I will give Brainliest :)
Answer:
x=2,y=-3
Step-by-step explanation:
detailed explanation showed in the image above
100 POINTS! Select the correct answer.
Which system of equations is represented by this graph?
Answer:
A
Step-by-step explanation:
Remember, the equation of slope-intercept is y=mx+b
We see that for A, that the first equation's slope is -2/3. That means we are going to move down two and left five. The reason why we are going down is that the slope is negative. We also know that our y-intercept is -4. So we first plot the point (0,-4). Then we move down two and left five. We apply the same knowledge with the second equation. When we plot both equations, we get the same exact graph as the picture.
simplify 12b+4b^2-10b
Answer:
4 b 2 + 2 b
Step-by-step explanation: hope it helps
f(x)=-2x^2-2x+10 f(x)=−2x 2 −2x+10 \text{Find }f(2) Find f(2)
Given that:
f(x) = -2x²-2x+10
f(2) = -2(2)²-2(2)+10
= -2(2*2) - 4 + 10
= -2(4) - 4 + 10
= -8 - 4 + 10
= -12 + 10
= -2 Ans.
Read more:
Similar Question
Given f(x) = 1/2x - 5, find f^-1(x) a. f^-1 (x) = -2x+10 b. f^-1(x) = 2x+5 c. f^-1(x) = 2x-10 d. f^-1(x) = 2x+10...
https://brainly.com/question/11148895?referrer
Domain and rangeeeeeee
Answer:
domain: -4 ≤ x ≤ 2
range: 2 ≤ y ≤ 6
Step-by-step explanation:
1.) solve for x: 4x+9=25
2.) solve for x: 5x+12=62
Answer:
1. x=4
2. x=10
Step-by-step explanation:
4x+9=25
Subtract 9 from both sides.
4x+9-9=25-9
>>4x=16
Then, divide 16 by 4.
x=16/4
>>x=4.
5x+12=62
Subtract 12 from both sides.
5x+12-12=62-12
>>5x=50
Divide 50 by 5.
x=50/5
x=10.
Hope this helps! Have a great day!
A binomial experiment has 4 trials in which p=0. 35. What is the probability of 1 success?.
Answer: 5798
Step-by-step explanation:
Probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].
What is probability?" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes.Probability is always less than or equals to one."
Formula used
For binomial experiment
Probability = [tex]^n C_r p^{r} q^{n-r}[/tex]
[tex]p =[/tex]success rate
[tex]q=[/tex] failure rate
[tex]p+q=1[/tex]
[tex]n=[/tex]Number of trials
[tex]r=[/tex] number of success
According to the question,
Total number of trials [tex]'n' =4[/tex]
Number of success [tex]'r' =1[/tex]
[tex]p = 0.35\\\\q = 1-0.35\\ \\\implies q = 0.65[/tex]
Substitute the value to get the required probability,
Probability [tex]= ^4C_1 (0.35)^{1}(0.65)^{4-1}[/tex]
[tex]=\frac{4!}{(4-1)!1!} \times\frac{35}{100}\times(\frac{65}{100})^{3} \\\\= 4 \times \frac{35}{100}\times \frac{274625}{1000000} \\\\= 0.384475[/tex]
≈ [tex]0.4[/tex]
Hence, probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].
Learn more about probability here
brainly.com/question/11234923
#SPJ2
(05.05)
Select the inequality that corresponds to the given graph. (5 points)
Answer:
3) 4x-2y (less than) -8
Answer:
Option 3: 4x - 2y < -8
Step-by-step explanation:
Given the graph of a linear inequality with a dashed line as its boundary line:
Quick Note:To start with, since the graph of the line is dashed, this means that the endpoints are not included as solutions.
Hence, we can easily rule out Option 4: 2x + 4y ≥ -16, since the solid boundary lines are used to represent linear inequalities with "≥" or "≤" symbols. Solutions:It will help to choose a test point that is not on the line, and substitute its values into the given inequality statements. Test points are used to verify whether it will satisfy the given inequality statement.
Let's use the point of origin as our test point, (0, 0). Substitute its values into the linear inequality statements in Options 1 through 3:
Option 1: 4x - 3y > -124x - 3y > -12
4(0) - 3(0) > -12
0 - 0 > -12
0 > -12 (True statement). Hence, the half-plane region that contains the test point must be shaded.
Since the point of origin is not a part of the shaded region in the given graph, then it means that the linear inequality in Option 1 is not the correct answer.
Option 2: x + 4y > 4x + 4y > 4
(0) + 4(0) > 4
0 + 0 > 4
0 > 4 (False statement). The half-plane region that doesn't contain the test point must be shaded. Hence, Option 2 may be a valid solution.
We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:
x + 4y > 4
x - x + 4y > - x + 4
4y > -x + 4
Divide both sides by 4 to isolate y:
[tex]\displaystyle\mathsf{\frac{4y}{4}>\:\frac{-x\:+\:4}{4} }[/tex]
y > -¼x + 1 ⇒ This is the slope-intercept form, where it has a negative slope of m = -¼. Hence, Option 2 is not a valid answer, as the graph has a positive slope.
Option 3: 4x - 2y < - 8
4x - 2y < - 8
4(0) - 2(0) < - 8
0 - 0 < - 8
0 < -8 (False statement). Thus, the half-plane region that doesn't contain the test point must be shaded.
We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:
4x - 2y < - 8
4x - 4x - 2y < -4x - 8
-2y < -4x - 8
Divide both sides by -2 to isolate y:
[tex]\displaystyle\mathsf{\frac{-2y}{-2}>\:\frac{-4x\:-\:8}{-2} }[/tex]
y < 2x + 4 ⇒ This linear inequality statement in slope-intercept form matches the given graph, as its line has a positive slope of 2.
Therefore, the correct answer is Option 3: 4x - 2y < -8.
please help me i don’t understand
Answer:
a
Step-by-step explanation:
A fourth of the product of 13 and a number M
Answer:
[tex]\frac{13m}{4}[/tex]
Step-by-step explanation:
"the product of 13 and a number M" should be written as 13m.
To get a fourth of the produce we would need to divide it by four.
A fourth of the product of 13 and a number M should be [tex]\frac{13m}{4}[/tex] .
Hope this helps.
If you want to save $4500 to go to the Super Bowl, how much will you need to invest in an account now with 6.25% APR, compounding continuously, in order to reach your goal in 4 years? (Round to the nearest dollar)
Given: p-q= pq/2.Express p in terms of q.
Here is ur perfect answer
Answer:
p = [tex]\frac{2q}{2-q}[/tex]
Step-by-step explanation:
p - q = [tex]\frac{pq}{2}[/tex] ( multiply both sides by 2 to clear the fraction )
2(p - q) = pq ← distribute parenthesis on left side
2p - 2q = pq ( subtract pq from both sides )
2p - pq - 2q = 0 ( add 2q to both sides )
2p - pq = 2q ← factor out p from each term on left side
p(2 - q) = 2q ← divide both sides by (2 - q)
p = [tex]\frac{2q}{2-q}[/tex]
The points (5, -5) and (7,r) lie on a line with slope - 1. Find the missing coordinate r.
Answer:
r = -7
Step-by-step explanation:
Slope = Change in y/Change in x
-1 = r - (-5) / 7 - 5
-1 = r + 5/ 2
-2 = r + 5
r = -7
-Chetan K
A painting is 15 in tall and 20 in wide. If it is reducted to a width of 4 in, then how tall will it be?
Jamall paid the rent well past the due date for the month of April May and June as a result he had been charge a total of $75 as a late fee how much does he have pay as late fee per month
Answer:
its In “Growing Up: Key Moments,” which piece of evidence best supports the author’s idea that challenging moments help people learn as they grow up?
Step-by-step explanation:
bc ez ez e yba better then aut
Shannon ran the race slower than Patti but faster than Phan. What might her time be?
Phan: 7.7
Daniel: 7.44
Patti: 7.1
Ida: 7.501
Maisha: 7.01
Ali: 7.941
Manuel: 7.332
Since she was slower than Patti but faster than Phan, the compound inequality that models her time t is:
[tex]7.1 < t < 7.7[/tex]
An inequality is said to be compounded if it includes two terms, for example:[tex]a < x < b[/tex]
Which has the following interpretation: x is more than a and x is less than b.In this problem:
Shannon is slower than Patti, hence her time is greater than 7.1.She is also faster than Phan, hence her time is less than 7.7.Then, the inequality is:
[tex]7.1 < t < 7.7[/tex]
A similar problem is given at https://brainly.com/question/24528399
HELP PLEASE ASAP WILL GIVE BRAINLIEST
Farmer Hopt started with some alabers on her farm. She had 90 alabers after 5 months. After 16 months, she had 167 alabers. Assume a constant rate of change.
Write an equation in slope-intercept form for total alabers, y, after x months.
Answer:
[tex]y= 11x+35[/tex]
Step-by-step explanation:
Let's find the slope first. It took hopt 11 months (from 5 to 16) to grow 77 trees. It means that each month he grew [tex]\frac{77}{11} = 7[/tex] trees.
At this point you can use the point-slope form and re-write the equation or, let's think about it. It's a direct proportion. If at month 5 she has 90 trees, one month earlier she had 11 less. two month earlier, 22 less. 5 month earlier, or at x = 0 (ie, our intercept!) she had 55 less trees, or 90-55 = 35 trees
The equation is then [tex]y= 11x+35[/tex]
please help. 15 points and brainliest if correct!
Answer:
2 and 3
Step-by-step explanation:
hope this helps!❄︎
