Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
f*(x)-(-x^2-3*x)=0
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
fx + x2 + 3x = x • (f + x + 3)
Equation at the end of step
2
:
x • (f + x + 3) = 0
STEP
3
:
Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2 Solve : x = 0
Solution is x = 0
Equation of a Straight Line
3.3 Solve f+x+3 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line f+x+3 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000
f-intercept = -3/1 = -3.00000
Calculate the X-Intercept :
When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000
x-intercept = -3/1 = -3.00000
Calculate the Slope :
Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -2.000/2.000 = -1.000
Geometric figure: Straight Line
Slope = -2.000/2.000 = -1.000
x-intercept = -3/1 = -3.00000
f-intercept = -3/1 = -3.00000
x = 0
Christina is paying back the $120 she borrowed from her parents. If she pays $15 per week, how long will it take her to pay the $120?
Answer:
8 weeks
Step-by-step explanation:
i just divided 120 and 15
Answer:
It's 8 weeks
Step-by-step explanation:
because you basically take 120/15= answer or amount due divided by amount payed per (time choice)= time taken
I hope this helped!
A motorcycle can go 75 miles using one gallon of gas. About how many gallons of gas will be used to go 200 kilometers?
(Note: 1 mile is approximately 1.6 kilometers.)
Group of answer choices
A. 1 gallon
B. 2 gallons
C. 3 gallons
D. 4 gallons
Answer:
option d
hope it will help u
Answer:
I think its 2 gallons I'm soooo sorry i got it wrong
Find the unknown sizes of angles:
Step-by-step explanation:
We have ,
x = y ( vertically opposite angles ) 3x = z ( ,, )As we know ,
Complete angle = 360° x + y + 3x + z = 360° x + x + 3x + 3x = 360° 8x = 360° x = 45°Hence ,
x = 45° y = x = 45° z = 3x = 45*3 = 135° 3x = 135°.Aurora has a cell phone plan that charges $65 for phone service
Answer:
interesting
Step-by-step explanation:
please help i reward brainliest ;)
Leila runs at 12 miles per hour. Find the number of miles she can travel if she runs for 3 more than t hours.
Answer:
If she runs for three hours, then she'll run 36 miles
Going at the speed she is going, Leila can travel a distance of 12(3 + t).
The distance that a person can travel is found by:
= Speed x time
The speed here is 12 miles per hour
Time = 3 more than t hours = (3 + t hours)
The distance Leila would have gone is therefore:
= 12 x (3 + t)
= 12 (3 + t)
In conclusion, as the question is not complete, the relevant expression to find the distance is 12 ( 3 + t)
Find out more at https://brainly.com/question/11317310.
one kilometer is 1000 meters complete the tables what is the interpretation of the constant of proportionality
Answer:
Step-by-step explanation:
Left side:
250=1/4 km (0.25)
12 meters=0.012
1 meter= 0.001
Right side: 5=5000 meters
20=20000 meters
Step-by-step explanation:
Left side: You divide each number by 1 km, and you should get the answer.
Right side: Do the same for the right side. But, instead of division, use multiplication.
Need help thank you !!!
Answer:
6 11/15
Step-by-step explanation:
So the equation is 6 9/10 - 1/6, you gotta have similar denominators to have an easy subtraction process. So 9/10 - 1/6. Both numbers go into 60. 10×6 so that becomes the new denominator. Now your numerator, the 9 is times 6 because the 10 gets times by 6 so 9 times 6 = 54. You got your first fraction done and you put I back with the whole number so 6 54/60. So 1/6 10 times 6 equals 60 so now 1/60 times the 1 by 10 whatever you do to the bottom you do to the top 1 times 10 is 10 so we got out second fraction 10/60 so now it's 6 54/60 - 10/60, 54 - 10 = 44 so your answer is 6 44/60 but we can simplify so 44 ÷ 2 = 22 and you do it to the bottom 60 ÷ 2 = 30 now we got 22/30 we can divide by 2 again and we get 11/15. Put it back with the whole number and we get 6 11/15
A=27.36+73.99+27.14-49.73
Answer:
78.76
Step-by-step explanation:
a triangle is equilateral if sides are the same length. true or false?
True
A triangle with all the three sides equal equilateral
Hope this helped you- have a good day bro cya)
642 x 115 worked out ?
Answer:
642x115=73830
Step-by-step explanation:
does that help?
Answer:
73,830 is your final answer
Step-by-step explanation:
Kate and Riley are reading the same book. Kate reads 1/3 page per minute, and Riley reads 3/4 page per minute. Kate has already read 70 pages, while Riley has read 30 pages. If they both resume reading together, eventually Riley will catch up to Kate.
(please show your working)
a. On what page will that occur?
b.How many minutes have they read when Riley catches up?
The window below has an area of 64 inches squared. What is the length of each side?
Answer:
The answer would be 8.
Step-by-step explanation:
What is the answer to this equation below and is it a one step or two step equation?
6x+8 = 59
express each of the following rational as adecimal 3/25
Answer:
3/25 as a decimal is 0.12
Step-by-step explanation:
i need help
2 x 3 + 4 - 6r2
A : -26
B : -22
C : -2
D : 10
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If m*n means m+7n, determine the value of 5*(1*3).
Answer:
159
Step-by-step explanation:
5*(1+7×3)=5*(22)
5*(22)=5+7×22=159
Please help complete the table to show the coefficents of each term in the expression
Answer:
In order from left to right
5,0,0,-4,0,0,8
Step-by-step explanation:
A coefficient is a number that comes before the variable in an equation. First of all, it is important to note that variables that are not present in the equation have a coefficient of 0. This is because 0 times a number is 0; therefore, if a variable is not present it must be multiplied by 0. Additionally, constants can be represented as [tex]x^0[/tex]. Any number raised to the power of 0 is 1. Thus, the coefficient of x^0 is 5 because 1*5=5. Finally, the numbers 8 and -4 appear before [tex]x^6[/tex] and [tex]x^3[/tex], respectfully. Since they come before variables in a term they must be coefficients.
Pls answer question thx
There is a total of 53 Yr 11 students. 18 in math 13 in science making 31 students, leaving 22 Year 11 students for english. 37 total students picked english, so that makes 15 the remaning amount which is put into the Yr12 students.
There are 100 students total. 53 of which are Yr 11 students leaving 47 to be Yr12 students.
12 Yr 12 students chose science, 15 Yr 12 kids chose english, leaving 20 Yr12 students to have chosen math.
12+15+20=47 Yr 12 students.
22+18+13=52 Yr 11 students.
15 Yr 12 students chose english.
20 Yr 12 students chose math.
12 Yr 12 students chose science.
There are 47 Yr 12 students total.
22 Yr 11 students chose english.
18 Yr 11 students chose math.
13 Yr 11 students chose science.
There are 53 Yr 11 students.
how to solve this problem
-3 1/3 x (-2 7/10)
Answer: 9
Step-by-step explanation:
-3 1/3 x (-2 7/10)
-3 = -3*(3/3) = -9/3
-3 1/3 = -10/3
(-2 7/10)
-2 = -2(10/10) = -20/10
-2 7/10 = -27/10
(-10/3)*(-27/10) = (270/30) = 9
There is a bag with only red marbles and blue marbles. The probability of only choosing a red marble is 5/8. There are 25 red marbles in the bag and each is likely to be chosen. How many marbles should there be in total?
25 red, 15 blue
======================================================
Work Shown:
b = number of blue marbles = unknown
r = number of red = 25
T = number total = 25+b
r/T = probability of getting red = 5/8
r/T = 5/8
25/(25+b) = 5/8
25*8 = 5(25+b) .... cross multiplication
200 = 125+5b
200-125 = 5b
75 = 5b
5b = 75
b = 75/5
b = 15
We have 15 blue marbles and 25 red marbles. This means there are T = r+b = 25+15 = 40 marbles total.
The proportion of red is r/T = 25/40 = (5*5)/(5*8) = 5/8 to help confirm we have the correct value for b.
The figure is a drawing of a field that will be planted with new grass. What is the area of the field?
a 36.0 ft2
b 292.5 ft2
c 1,296.0 ft2
d 270.0 ft2
Answer:
Step-by-step explanation:
do all number lines show only whole number
Answer:
no
Step-by-step explanation:
no because some numbers could be negative and most number lines also contain 0. whole numbers are positive, non decimal/fractional, real numbers
Help like rn. Like rn please I will mark brainiest but pls help.
Answer:
90
and
20
i think so ye
Step-by-step explanation:
Answer:
Nvm
Step-by-step explanation:
U don’t need help anymore?
There are 15 pieces of the same size candy in a bag. Four are banana flavored, three strawberry flavored, six cherry flavored, and two orange flavored. What would be the probability of picking an orange or a cherry flavored candy from the bag? Round to the nearest tenth.
The probability of picking an orange or a cherry flavored candy from the bag is [tex]\frac{8}{15}[/tex].
Given that, total number of candies=15, banana flavoured candies=4, strawberry flavoured candies=3, cherry flavoured candies=6 and orange flavoured candies=2.
We need to find out what would be the probability of picking an orange or a cherry-flavoured candy from the bag.
What is a probability formula?According to the probability formula, the likelihood that an event will occur is equal to the proportion of favourable outcomes to all outcomes.
The probability of an event[tex]=\frac{Number of favourable outcomes}{Total Number of outcomes}[/tex].
Now, the probability of picking an orange flavored candy from the bag [tex]=\frac{2}{15}[/tex]
The probability of picking a cherry flavored candy from the bag [tex]=\frac{6}{15}[/tex]
The probability of picking an orange or a cherry flavored candy from the bag [tex]=\frac{2}{15}+\frac{6}{15}=\frac{8}{15}[/tex].
Therefore, the probability of picking an orange or a cherry flavored candy from the bag is [tex]\frac{8}{15}[/tex].
To learn more about the probability visit:
https://brainly.com/question/11034287.
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Mr. Johnson is picking up 24 balls after recess and putting them in bins for the next class. He wants to put the same number of balls into each bin. What four different ways could he group the balls?
Which statement about the slope of a line is true?
Answer:
wheres the line
Step-by-step explanation:
(10 pages
In the diagram, KM bisects ZJKL.
If the mZJKM = (42 - 22) and m/LKM = (6x + 5), solve for x and find mZJKM.
V
M
K
mЛКМ
Submit
DO 9:27
DI
Answer:
90823
Step-by-step explanation:
because don't use this awnser
Answer:
********
Step-by-step explanation:
******** =(*******-****) *** */***
Consider triangle ABC where AB=X+5, BC=X-2, area is 30cm squared. Find X by solving X^2+3X-70=0, and find the perimeter.
Answer:
What the hell AC is not given so you can't find the Perimeter
Step-by-step explanation:
x^2+3x-70=0(x-7)(x+10)=0x-7=0x+10=0
x=7x=-10
AB=x+5
AB=12AB=-5
BC=x-2
BC=5BC=-12
Area of ABC = 30cm2
Perimeter of ABC = AB+BC+AC
MITHUN'S UNCLE IN AMERICA HAD SENT HIM 10 USA DOLLARS AS A GIFT. MITHUN USED 350 RUPEES FOR A SCHOOL TRIP. HOW MUCH MONEY WAS LEFT WITH HIM?
PLEASE ANSWER FAST WILL MARK AS BRAINLIEST AND THI QUESTION IS OF 50 POINTS
Answer:
He had $47 left from the school trip