Answers
Answer:
Hans has done a mistake in the second step.
The correct answer is:
5x^2+13x-6=0
5x^2+15x-2x-6x=0 - 5. -6=-30 -30=15. -2
5x(1+3x)-2x(1+3x)=0
(5x-2x)(1+3x)=0
5-2x=0 1+3x=0
x=5/2 x=-1/3
Related Questions
Select the correct answer.
What is the exact solution to the system of equations shown on the graph?
OA (-1.4)
oc (-1,63)
OD. (-1,43)
Answers
Answer:
[tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]
Step-by-step explanation:
To find the exact solution, find the equation for each line. And solve for x and y.
To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.
✍️Equation 1 for the line that slopes upwards from left to your right:
Slope = [tex] m = \frac{rise}{run} = \frac{2}{1} = 2 [/tex]
b = the point at which the y-axis is intercepted by the line = 7
Substitute m = 2 and b = 7 in y = mx + b
Equation 1 would be:
✔️y = 2x + 7
✍️Equation 2 for the line that slopes downwards from left to your right:
Slope = [tex] m = \frac{rise}{run} = -\frac{3}{1} = -3 [/tex]
b = the point at which the y-axis is intercepted by the line = 1
Substitute m = -3 and b = 1 in y = mx + b
✔️Equation 2 would be:
y = -3x + 1
✍️Solve for x and y:
✔️To solve for x, substitute y = -3x + 1 in equation 1.
y = 2x + 7
-3x + 1 = 2x + 7
Collect like terms
-3x - 2x = 7 - 1
-5x = 6
Divide both sides by -5
[tex] x = \frac{6}{-5} = -1\frac{1}{5} [/tex]
✔️To solve for y, substitute x = -1⅕ in equation 2.
y = -3x + 1
[tex] y = -3\frac{-6}{5} + 1 [/tex]
[tex] y = \frac{18}{5} + 1 [/tex]
[tex] y = \frac{18 + 5}{5} [/tex]
[tex] y = \frac{23}{5} [/tex]
[tex] y = 4\frac{3}{5} [/tex]
✅The exact solution would be: [tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]
carrie and joel plan to sell apple pies at the county fair for $6 each. the ingredients they used cost $3.75 per pie. they rent an oven for $54 to keep the pies hot throughout the day. how many pies must carrie and joel sell in order to break even?
Answers
Answer:
24 pies
Step-by-step explanation:
Let x represent the number of pies and set up an equation:
6x = 3.75x + 54
Solve for x:
6x = 3.75x + 54
2.25x = 54
x = 24
So, Carrie and Joel have to sell 24 pies to break even
How many solutions does 4-3x=-4+3x
Answers
Answer:
no
Step-by-step explanation:
Reason: if we solve for this we end up with the x values equaling to zero. This leaves us with 4 = - 4. This is not true because 4 isn’t equal to -4. If they were equal they would be the same value.
Hope this helps
Which pair of angles shares ray as a common side?
Answers
Answer:
Step-by-step explanation:
adjacent angles share a ray
they also have a common vertex
The sum of a number times 9 and 20 is at least 28.
Translate the sentence into an inequality
Answers
Answer:
9x+20>=28
Step-by-step explanation:
x is the number
-41 + 22 negative or positive
Answers
Answer:
-19
Step-by-step explanation:
A pet store has 115 fish that need to be placed into fish tanks. Each tank hold 6 fish. How many tanks does the store for the fish
Answers
Answer:
19.1, rounded= 19
Step-by-step explanation:
115 divided by 6 = 19.1
Answer:
20 tanks
Step-by-step explanation:
Number of tanks = Total fish ÷ Number of fish that a tank can hold
= 115 ÷ 6
= 19 [tex]\frac{1}{6}[/tex]
= 20 tanks
Sequences and series
Answers
===========================================================
Explanation:
The sequence is not arithmetic because the distance between adjacent terms keeps increasing. For instance, the gap from 0.4 to 1.6 is 1.6-0.4 = 1.2, while the gap from 1.6 to 6.4 is 6.4-1.6 = 4.8. There is no common difference, so we can rule out choices A and B.
To check if we have a geometric sequence, divide each term by its previous term
(term2)/(term1) = (1.6)/(0.4) = 4
(term3)/(term2) = (6.4)/(1.6) = 4
(term4)/(term3) = (25.6)/(6.4) = 4
Each time we get 4 as a result, so this sequence is geometric and the common ratio is r = 4.
Put another way: each new term is found by multiplying the previous term by 4.
0.4*4 = 1.6
1.6*4 = 6.4
6.4*4 = 25.6
This all leads to D being the answer.
Side note: the nth term of this geometric sequence is [tex]a_n = 0.4*(4)^{n-1}[/tex] where n is a positive integer and starts at n = 1.
What does a function and a non-function mean?
Answers
Answer:
A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.
Step-by-step explanation:
Side Panel Expand side panel 7.01 Discussion: Sequences and Modeling with Functions Think about Pascal's triangle. Many numerical sequences exist in this triangle. Research/explore the triangle. Give an explicit or recursive rule or explanation for the sequence you found. For example, the sum of the diagonals gives the Fibonacci sequence. Give an example of where in the triangle your sequence is located.
Answers
Answer:
The sum of the triangle gives us the Fibonacci sequence. The sequence starts with 0 and 1, then adds along the road, such as 3+5=8, and 5+8=13.
It's a pattern going along while adding sequences together.
i hope this helps, it's not the best, but it works! :)
a que altura de cada molde quedara el litro de cera liquida?
Answers
Answer:
litros. TODO Cm. Calcula el volumen de cada figura compuesta. Redondea al ... Encuentra la altura h del recipiente a la décima más cercana. ... cubierto, haciendo que el nivel del agua suba 2 pulg.
find the area of those circles
Answers
Answer:
4pi
Step-by-step explanation:
Area of a circle is pi (r^2)
Radius is 2, 2 squared is 4, 4 times pi is 4pi.
what type of solution would you get for -5=-5
A. one solution
B. no solution
C. infinite
Answers
Answer:
c
Step-by-step explanation:
Since -5 is always equal to -5
Can someone help me please
Answers
Answer:
B
Step-by-step explanation:
210/3.5=60 60*8.5=510 Add the first fence post to get 518.50
Answer:
B
Step-by-step explanation:
✨Hope it helps✨
What is an equation of the line that passes through the point (1,-3) and is perpendicular to the line x+3y=21?
Answers
Answer:
x + 3y =21 equation 1
let the equation perpendicular to X + 3y = 21 be
3x - y + k = 0 equation 2
since the point ( 1 , -3 ) passes through equation 3x - y +k =0
3× 1 - (-3) + k = 0
or, 3 + 3 + k = 0
or, 6 + k =0
or, k = -6
now,
putting the value of k in equation 2
3x - y + k = 0
or, 3x -y -6=0
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!!
Answers
Answer:
No relationship
Step-by-step explanation:
Answer:
B. The number of vertices equal the number of isosceles triangles.
Step-by-step explanation:
1st figure:
No. of vertices: 4
No. of isosceles triangles: 4
2nd figure:
No. of vertices: 5
No. of isosceles triangles: 5
3rd figure:
No. of vertices: 6
No. of isosceles triangles: 6
Thus, the number of vertices equal to the number of isosceles triangles.
Natalie walked 3\5 mile in 1\2 hour. How fast did she walk, in miles per hour?
Answers
ps can u make me brainsh** think pls
Answer:
The answer is 6/5
Step-by-step explanation:
( 3 /5 )( 2 /1 )
(3)(2) /(5)(1)
6 /5
Hope this helps!
You work in a hospital, and instructions for an instrument state that it should be cleaned in the sterilizer for two hours. The sterilizer requires cleaning time be entered in minutes. How many minutes do you set for the sterilizer?
Answers
Answer:
120 mins
Step-by-step explanation:
number of minutes in an hour = 60
number of hours = 2
total number of minutes = 60 x 2 = 120
Answer:
120 minutes
Step-by-step explanation:
an hour is 60 minutes and if you put them in for 2 hours you multiply 2×60 and your answer is 120
Show your work!!!! MUST SHOW WORK
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4 3/8-(-5 7/8)=
Answers
Answer:
10 1/4
Step-by-step explanation:
okay so the equation 4 3/8-(-5 7/8) needs to be simplified to a answerable equation by changing -(-5 7/8) to + 5 7/8
the reason for this is because when two subtraction signs are like this -(- it turns the number into a positive and we add instead of subtract.
4 3/8 + 5 7/8 = 9 10/8 = 10 2/8 = 10 1/4
I hope this helps you
what is the value of k in the following equation?
12+k/22=13
Answers
This is the answer
Hope it helps
Answer: k=22
Step-by-step explanation:
12+k/22=13
-12 -12
k/22=1
k=1*22
k=22
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9.
What is the original number?
-4
-30
4
30
Answers
Answer:
regular 4 is correct
Step-by-step explanation:
Answer:
C. 4
Step-by-step explanation:
What is the answer for the equation (2+3x)4
Answers
Answer:
8+12x
Step-by-step explanation:
Answer:
8+12x
Step-by-step explanation:
Jennyra charges $8 per hour for each babysitting job she works. Write an expression to show the number of hours she works.
Answers
Answer:
8 times x
Step-by-step explanation:
x being the number of hours
math sucks ugh need more help
Answers
Answer:
3 is the correct answer
Step-by-step explanation:
I believe this is correct.
Hope this helps!
Answer:
3) the vertex is moved to the left 7 units
Step-by-step explanation:
When a number is inside the () and is being added or subtracted it goes to the opposite of the sign if it is + it goes left if it is - it goes right however with linear functions it is + right - left
Nancy has $200 and spends $10 each week. Which function rule describes the situation?
Answers
Answer:
f(d) = 200 – 10d
Step-by-step explanation:
I just looked it up sorry if its wrong lol
Answer:
f(d)=200-10d
Step-by-step explanation:
Because she is spending money every week, That means he money is decreasing.
Volume
03020020203tagmineyhi
Answers
The ratio of the measures of the sides of a triangle is
1:15:3. If the perimeter of the triangle is 152 yards,
find the length of the longest side.
Answers
Answer:
The length is 120 yards
Step-by-step explanation:
Here, we want to find the length of the longest side
The longest side ratio is 15
Add up all the ratio,
We have 1 + 15 + 3 = 19
So the length will be;
15/19 * 152
= 120 yards
Solve
I need it really quickly
Answers
3x = 30 <=>
x = 10
I am selling raffle tickets. It cost $155 to print the tickets and I want to make at least a $2,500 profit how much money do I need to raise to cover the cost of the printing and meet my goal
Answers
Answer:
Step-by-step explanation:
You need $2500 plus the amount to print the tickets. So 2500+155= $2655.
$155 will break even and then the $2500 will be the profit.
2. Next she needs to find her maximum heart rate m by subtracting her age a from 220. Write an
equation she can use.
Answers
Answer:
220 - a = m
Step-by-step explanation:
a is her age