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
I need help with finding the slope.
Answer:
The slope is -2
Step-by-step explanation:
Item 3 Solve. 7 2/5=2/3x−4 1/2 Enter your answer as a mixed number in simplest form in the box.
The simplified form of the expression 7 ²/₅ = (2/3) x - 4 ¹/₂ for the value of x is 357/20 or 17.85.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
7 ²/₅ = (2/3) x - 4 ¹/₂
Simplify the expression,
37/5 = (2/3)x - 9/2
37/5 + 9/2 = (2/3)x
(74 + 45) / 10 = (2/3)x
119 / 10 = (2/3)x
357/20 = x
x = 357 / 20
x = 17.85
The simplest form for the value of x, of the given expression, is 357 / 20.
To know more about Algebraic expression on:
https://brainly.com/question/19245500
#SPJ2
BOWLING A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3
represents the cost y of bowling x games. Interpret the parameters of the function.
Laura is training to run a race. She keeps track of the number of miles she runs. She has been training for 5 weeks, and she has run a total
of 40 miles. At what rate has she been running, in miles per week?
Answer:
8 miles per week!
Step-by-step explanation:
40 miles / 5 weeks = 8!
so it would be 8 miles per week.
i hope this helps!!
Find the circumference and the area of a circle with diameter 6 yd.
Use the value 3.14 for T, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
area = 28.27433
Circumference = 18.84956
Step-by-step explanation:
I hope that this helps!!
PLEASE HELP ME I REALLY NEED HELP
Answer:
no
Step-by-step explanation:
We expect you're supposed to answer, NO. This is because an angle and two sides are specified, where the angle is not between the two sides. There is no SSA theorem for congruence, so this specification is generally considered to be insufficient.
_____
Additional comment
The given information is enough to completely specify the given triangle. The reason this is true is that the given angle is opposite the longest of the given sides. A general SSA theorem cannot guarantee that will be the case, so there is no general SSA congruence theorem.
Provided that you have corresponding side and angle information for the other triangle, congruence can be determined (yes). A single triangle by itself cannot be shown congruent to anything.
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
[tex]x = \frac{3}{ \sqrt{2} } [/tex]
Step-by-step explanation:
[tex] {x}^{2} + {x}^{2} = {3}^{2} \\ 2 {x}^{2} = 9 \\ {x}^{2} = \frac{9}{2} \\ x = \frac{3}{ \sqrt{2} } \\ x = 2.121[/tex]
Katie's favorite deli has a salad bar where she can make her own salad. She has to pay $1 for the container and $3 per pound for the salad.
Write an equation that shows how the total cost, y, depends on weight of the salad in pounds, x.
Do not include dollar signs in the equation
Answer:
y = 3x + 1
Step-by-step explanation:
Answer: y = 3x + 1
Step-by-step explanation:
Following the y = mx + b theory, we can find the equation (see attached image) by plugging in two points of the hypothetical graph.
For one pound of salad, Katie will pay $4 ($3 for the salad, $1 for the container). Thus, the first point will be (1,4). For two pounds, Katie will pay $7. Thus, the second point will be (2,7).
Knowing that m (slope) = [tex]\frac{y_{2}-y_{1}}{x_{2}-{x_1}}[/tex], we can get the equation m = [tex]\frac{7-4}{2-1}[/tex], thus telling us that m = [tex]\frac{3}{1}[/tex], or 3. Plug in 3 for m, and you get y = 3x + b.
To solve for b, lets' use the second point (2,7). Plug in the coordinates and you get 7 = 3(2) + b, or 7 = 6 + b. Subtract 6 from both sides and you get b = 1.
Plug in 1 for b and you end up with y = 3x + 1
need desperate help thanks
Answer:
x = 158
y = 22
Step-by-step explanation:
A triangle's inside sides sum up to 180 degrees. So to find the angle y, just take 180 - the sum of the other two sides.
70 + 88 = 158
180 - 158 = 22
y = 22 degrees
Now, to find angle x, since x and y are next to each other on a straight line, it means they are supplementary angles. Supplementary angles add together to equal 180, so just substract y from 180 to get x.
180 - 22 = 158
x = 158 degrees
help lol
The FOIL method helps you remember how to multiply each term in one ____________ by each term in the other ____________.
The FOIL method helps you remember how to multiply each term in one binomial by each term in the other binomial.
What is FOIL method?FOIL is the standard method of multiplying two binomials.
The word FOIL is an acronym for the four terms of the product:
First (“first” terms of each binomial are multiplied together)Outer (“outside” terms are multiplied—that is, the first term of the first binomial and the second term of the second)Inner (“inside” terms are multiplied—second term of the first binomial and first term of the second)Last (“last” terms of each binomial are multiplied)We try to explain this using an example.
[tex]= (2x+1)(3x+ 5)\\\\=(2x * 3x) + (2x * 5) + (1* 3x) + (1 *5)\\\\= 6x^{2} + 10x + 3x + 5\\\\= 6x^{2} + 13x + 5[/tex]
Learn more about FOIL method here
https://brainly.com/question/27785127
#SPJ2
. You want to buy a book worth Php 220.50. You can buy it only by making a sacrifice of not buying a soft drink every day. If soft drinks in your school cost Php15.75, how many days do you need to save before you can buy the book? * A. 13 B. 14 C. 15 D. 16
Answer:
B-14
Step-by-step explanation:
Divide 220.50 by 15.75 and you will get 14
Hope it can help you lovelots
9. What are all the values for y?Plug in the x value into the equation to find 1 point
y. Equation is y=-2x + 1*
Answer: C
Step-by-step explanation: see picture
what could be the value of x in the equation x/2+ 15 =64
Answer:
x = 98
Step-by-step explanation:
[tex]\frac{x}{2}[/tex] + 15 = 64 ( subtract 15 from both sides )
[tex]\frac{x}{2}[/tex] = 49 ( multiply both sides by 2 to clear the fraction )
x = 98
5. Write the following numbers in order from least to greatest. 1.23; 1.2; 2.31; 3.2
3. At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each of Sherri's deposits was $10 more than each deposit Sheila made. Both sisters deposited the same amount in the end. How much did each sister deposit each time?
(a) Write an equation. Let x represent the amount of one of Sheila’s deposits.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
Step-by-step explanation:
x = one deposit of Sheila
x + 10 = one deposit of Sherri
so,
6x = 5(x + 10) = 5x + 50
x = 50
x + 10 = 60
so, as check, the original equation must be true for these values :
6×50 = 5×(50 + 10) = 5×60
300 = 300
correct.
Sheila deposited 6 times $50 every time. so, in total, she deposited $300.
Sherri deposited 5 times $50+$10 = $60 every time. so, in total, she too deposited $300.
The sum of two numbers is x . If one of the numbers is 12, what is the other?
Answer:
x - 12
Step-by-step explanation:
Given
12 + ? = x ( subtract 12 from both sides )
? = x - 12
The other number is x - 12
Old McDonald's 3 hens lay the same number of eggs one week. This gives Old McDonald's wife enough eggs for two recipes. One recipe requires 10 eggs and the other recipe requires 2 eggs. How many eggs did each hen lay?
How to figure out the absolute value.
Answer:
absolute value is the same number just positive and cha never be negative.
Twelve football teams are playing in a league. Each team played each of the other teams exactly once. How many matches were played in the league? *
1 point
a. 72
b. 66
c. 11
d. 132
Each team will play with 11 other teams. Hence each team plays 11 games. Hence a total of 11*12 =132 games but since each game involves two teams divide 132/2 = 66 so B
PLEASSEE HELP:Dits for khan
What is the constant of proportionality in the equation
y
=
1
2
x
y=
2
1
xy, equals, start fraction, 1, divided by, 2, end fraction, x?
The constant of proportionality in the equation y=1/2x
is 1/2
The direct proportionality between x and y is established by :
y α x
α = proportionality symbol
y = kx - - - (1)
Where;
y and x are the variables
k = proportionality constant
Comparing (1) with the equation given : y=1/2x y=kx
The value of k aligns with 1/2 in the given equation.
Therefore, the constant of proportionality, k in the equation is 1/2
Answer:
yo yo yo! here to help :) answer is 1/2
PLS HELP ASAP ILL GIVE BRAINLKEST
Answer:
Its the bottom one x>5
Step-by-step explanation:
the diameter of an iron ball used in putting the hot is 12cm the density of the iron is 7.89/cm3 calculate the mass of the ball in kg
Answer:
Step-by-step explanation:
radius r of iron ball r=12/2=6 cm
volume of iron ball=4/3 πr³
=4/3π×6³
=288 π cm³
≈288×3.14
=904.32 cm³
density=7.89gm /cm³(unit not mentioned)
mass of iron ball=904.32×7.89=7135.0848 gm.=7.135 kg
288π×7.89≈7138.703 ≈7.139 kg (if density is 7.89 gm/cm³)
The average age of kishan and dolma is 15 years and that of dolma and shaswat is 14 years .If kishan is 17 years old ,find the age of dolma and shaswat.
Help me to find answer
Answer:
dolma is 13 and shaswat is 15
Step-by-step explanation:
lets say kishan is k, dolma is d, and shaswat is 14. (k+d)/2 is 15 so k+d=30. (d+s)/2=14 so d+s=28. since k=17, d=13 and s=15
Solve for x then y.
y+10=-1/6(x-6)
Answer:
y= -x/6-9
x= -6y-54
Step-by-step explanation:
Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 13 miles?
Answer:
390 minutes I do believe.
Step-by-step explanation:
Write equation for the graph
Answer:
y = -4x + 4
Step-by-step explanation:
slope formula: y = mx + b
b is always y intercept which is when the line crosses through the y axis while the x coordinate is at 0. that would make it 4. now we find another point which would be (-1,8)
use change in y/change in x
we already have 2 points
(0,4)
(-1,8)
change in x: -1
change in y: 4
4/-1
slope: -4
how many times does 15 go into 142 please no links thank you 71 points
Seven less than one-third a number is greater than six more than one-fourth the
number.
Answer:
The number is 60
Step-by-step explanation:
Answer 15 and 16 and get 50 points
No link
Answer:
(1) x=5 (2) I think the answer to 16 is 3/5 but not 100% sure
Step-by-step explanation:
(1) 29=5x+4
Step 1: Flip the equation.
5x+4=29
Step 2: Subtract 4 from both sides.
5x+4−4=29−4
5x=25
Step 3: Divide both sides by 5.
5x /5 = 25 /5
x=5
Solve 6(x - 3) + 7 = -5.
The answer will be:- x = 1