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
hjjhhhhhhjjjjjjjjhjjhhhhh hhhhhj h
Answer:
YASSSSSSSS
Step-by-step explanation:
Answer:
dnbdjdndh hdhdhbdjf
xnxnxnnxnxnfnf
ndndndndjf
find the 10th and 21st terms of -3,1,5,9
Answer:
33, 77
Step-by-step explanation:
-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77
Answer:
The 10th Term is; 33.
The 21st Term is; 77
Step-by-step explanation:
You need to add 4 each time to get a term. The first term is -3 so -3+4=1. Then 1+4=5, and 5+4=9 and so on.
-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77
Leticia spends $18.45 on a shirt. She spends at least $3.00 more than Humberto spends. If h represents the amount Humberto spends, which symbol can be used to complete the inequality below to represent this situation?
18.45 blank 3 + h
>
<
Greater-than-or-equal-to
Less-than-or-equal-to
Answer:
>
Step-by-step explanation:
28.45 >3+hgydnjsjsjjsjkso
Where did we get one?
Answer:
The -1 came from factoring.
The equation is multiplied by 8 because 8 could be pulled from 16x-8.
16 can be divided by 8 2 times and 8 can only divided by 8 once.
so factoring it makes the equation 8(2x-1)
May I please receive help?
Answer:
Line 1 and 2 are neither
Line 1 and 3 are parallel
Line 2 and 3 are neither
Step-by-step explanation:
y = ⅗x -6
10x-6y=6
5y=3x+6
-6y= -10x + 6
y= -10/-6x +6
y= 5/3x+6
5y= 3x+6
y=⅗x+6
8 kg of potatoes and 5 kg of carrots cost $28 whereas 2 kg of potatoes and 3 kg of carrots cost $11.20. Find the cost of 1 kg of each item.
also give the explanation.
Answer:
Step-by-step explanation:
Cost of 1 kg of Potatoes = $ 2
Cost of 1 kg of Carrots = $ 2.40
Let the cost of 1 kg of Potatoes = x
Let the cost of 1 kg of Carrots = y
ATQ , 8x + 5y = 28 - 1)
2x + 3y = 11.20 - 2)
Multiplying 2) by 4
8x + 12y = 44.80 - 3)
Applying Elimination method in 1) and 3)
8x + 5y = 28.00
8x + 12y = 44.80
0 + -7y = - 16.80
y = 16.8/7
y = 2.4
Putting the value of "y" in 1)
8x + 5(2.4) = 28
8x + 12 = 28
8x = 16
x = 16/8
x = 2
HELP PLS " A circle’s circumference is approximately 76 cm. Estimate the area of the circle"
Answer: if the circumference is 76 the area is 38
Step-by-step explanation:
Can someone tell me the answer to this?
Answer choice B is incorrect
Answer:
B) or C)
Step-by-step explanation:
A group of 15 people dines at your restaurant, and their total bill is $315. They decide to split the bill evenly between each person, and each person presents a coupon for $5 off their meal. How much does each diner pay?? $16 $21 $26 $48 $54
The difference between 13 and a number is 4 more than twice the number
Answer: 3
Step-by-step explanation:
Let the number be 'a'.
Since the difference between 13 and a number is 4 more than twice the number, then 13 - a = 2a + 4
⇒ 13 - a = 2a + 4
2a + a = 13 - 4
3 a = 9
a = 3
∴ the number is 3I don’t get this question at all
Answer:
-12
Step-by-step explanation:
Answer:
-8(-4+x)
Step-by-step explanation:
This is because the value of all the numbers never changes. Because
"-8(x-4)= -8x+32" and "-8(-4+x)= 32-8x" are equal, this would be the only correct answer.
Hope this helps! :)
Which of the following best describes the line passing through (0, 1) with a slope of
-1/2?
Answer:
I would say A,B, or D
Step-by-step explanation:
4.
Is the relationship shown by the data linear? If so, model the data with an equation.
A. The relationship is linear; y + 2= -5/4(x + 9).
B. The relationship is not linear.
C. The relationship is linear; y + 2= 4/5(x + 9).
D. The relationship is linear; y + 9= -4/5(x + 2).
Answer:
D. The relationship is linear; y + 9= -4/5(x + 2).
Step-by-step explanation:
yes its linear because the x values increase by a constant value 4 and the y values by a constant value -5.
one general form for a linear equation is
y - y1 = m(x - x1) m = slope and (x1,y1) is a point on the line
from the data the slope iis (-7-(-2)) / (-5-(-9) = -5 / 4
so using the point (3, -17):-
y - (-17) = (-5/4) ( x - 3)
y + 17 = -5x/4 + 15/4
4y + 68 = -5x + 15
4y = -5x - 53
thats the equation of the line
Two sides of a triangle have lengths 6 and 16. Which inequalities represent the possible
lengths for the third side, x?
Answer:
22 > x > 10
Step-by-step explanation:
By the triangle inequality, the length of the 3rd side must be less than the sum of the two other sides and greater than the positive difference of the other two sides. Thus, 6 + 16 > x > 16 - 6
22 > x > 10
guys pls help me!!!!!!!
Answer:
36°
Step-by-step explanation:
it's the same as the given number.
lines l, m, and n are parallel to each other and the same line is intersecting all three of them. since the 36° angle is in the same placement as the x° angle, they are the same.
have a lovely day <3
If PS= RS= 38 and PQ, what is QR?
a)83
b)64
c)38
d)46
Answer:
first of all tell in the clear manner that anyone can easily understand
Answer:
C is your answer
An oil tanker can be emptied by the main pump in 5 hours. An auxiliary pump can empty the tanker in 7 hours. If the main pump is started at 7 PM, when should the auxiliary pump be started so that the tanker is emptied by PM?
Suppose you have entered 103 -mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 5 miles per hour, and during your bicycle race, your average velocity is26 miles per hour. You finish the race in 8 hours. What is the distance of the run? What is the distance of the bicycle race?
Answer:
so the answer will be 1
Step-by-step explanation:
An oil tanker can be emptied by the main pump in 5 hours.
An auxilary pump can empty the tanker in 14 hours.
If the main pump is started at 7pm, when should the auxilary pump be started
so that the tanker is emptied by 11pm?
:
Let t = no. of hrs to run the Aux pump
:
The main pump will run 4 hr (7 - 11 pm)
:
Let the completed job = 1; (an empty Tanker)
:
The shared work equation
4%2F5 + t%2F14 = 1
Multiply equation by 70 to get rid of the equation, results:
14(4) + 5t = 70
56 + 5t = 70
5t = 70 - 56
5t = 14
t = 14%2F5
t = 2.8 hrs to run the aux pump
:
2.8 hr = 2 + .8(60) = 2 hrs 48 min
:
Subtract 2:48 from 11:00 = 8:12 PM start the aux pump
;
;
Check solution
4/5 + 2.8/14 =
.8 + .2 = 1
Directions: Find the specified term of the geometric sequences given the first term and the common ratio.
Step-by-step explanation:
As you know
[tex] a_{n} = a_{1} \times {r}^{n - 1} [/tex]
1.
[tex]3 \times {3}^{4} = {3}^{5} \\ 3 \times {3}^{6} = {3}^{7} \\ 3 \times {3}^{8} = {3}^{9}[/tex]
2.
[tex]2 \times {2}^{4} = {2}^{5} \\ 2 \times {2}^{6} = {2}^{7} \\ 2 \times {2}^{8} = {2}^{9}[/tex]
3.
[tex] - \frac{1}{2} \times {( - 6)}^{4} = { \frac{ - 1}{2} } \times {6}^{4} \\ - \frac{1}{2} \times {( - 6)}^{6} = { \frac{ - 1}{2} } \times {6}^{6} \\ - \frac{ 1}{2} \times {( - 6)}^{8} = { \frac{ - 1}{2} } \times {6}^{8} [/tex]
The function f(x)= 3x + x2 + 2x rises as x grows very small. As x goes to negative
infinity, f(x) goes to infinity.
True
False
Answer:
.
Step-by-step explanation:
3x + x^2 + 2x
= x^2 + 5x
As x goes to negative infinity,
x^2 is always positive and will be higher than 5x as x increases so
f(x) goes to infinity
Find f(0), f(3), and f(5) for the following function: f(x) = 3x + 1
f(0) =
f(3) =
f(5) =
Answer:
1, 10, 16
Step-by-step explanation:
Substitute the given values of x into f(x)
f(0) = 3(0) + 1 = 0 + 1 = 1
f(3) = 3(3) + 1 = 9 + 1 = 10
f(5) = 3(5) + 1 = 15 + 1 = 16
Graph the following features:
Y-intercept = -2
Slope = 1
Answer:
Follow the steps below!
Step-by-step explanation:
If you're provided with a graph then use that, but if not, draw it with a scale of 1 unit per 1 tick and all four quadrants.
Start at -2 on your y-axis (two ticks down from the origin the vertical line) and draw a dot or cross. Then, go to the right one tick and up one tick and draw another dot or cross. If you do this again, you should have made a mark on the x-axis (horizontal line). All you need to do is draw a straight line connecting the points you plotted with arrows on the end. You can use a ruler or other straight edge if straight lines are a challenge to draw.
Twelve boys collected 16 aluminum cans each. Fifteen girls collected 14 aluminum cans each. How many more cans did the girls collect than the boys
Answer:
18
Step-by-step explanation:
The boys collected:
12 · 16 = 192
The girls collected:
15 · 14 = 210
So the girls collected 18 more cans more than the boys.
(Integers calculation)
The slope of a line is 0, and the y-intercept is 6. What is the equation of the line written in slope-intercept form?
A. Y = x + 6
B. Y = 6x
C. Y= 6
Answer:
C
Step-by-step explanation:
slope('m") = 0 y-intersect ("b") = 6
y= mx + b
y = 0x + 6
y = 6
–3.8p + 4.5p − 6.67 = –9.57 + 0.2p how do u solve p?
Answer: p = - 5.8
Step-by-step explanation:
0.7p - 0.2p = -9.57 + 6.67
0.5p = -2.9
p = [tex]\frac{-2.9}{0.5}[/tex]
p = - 5.8
please give me a brainliest answer
plz help....................
[tex]x + 18 = 54 \\ = > x = 54 - 18 \\ = > x = 36[/tex]
Answer:Option A. x = 36
Hope it helps
ray4918 here to help.
_____________
[tex] \: [/tex]
Step by step :x + 18 = 54
x = 54 - 18
x = 36✔ (A.)
50 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5
find the zeroes of the function...
Answer is in picture below
:)
what is the sum of the interior angles of an equilateral triangle?
Answer:
180°is the sum of the interior angles of an equilateral triangle
Which expression(s) are equivalent to -12.48 Show me how to do it pls
-416 x 0.3.
-3 x 41.6.
-4.16 x 3
All of the above
Answer:
C. -4.16 x 3Step-by-step explanation:
Find the values of expressions and compare with -12.48:
-416 * 0.3 = -124.8 ≠ -12.48, No-3 * 41.6 = -124.8 ≠ -12.48, No-4.16 * 3 = - 12.48, Yes#1
-416(0.3)-12.48Yes
#2
-3(41.6)-124.8No
#3
-4.16(3)-12.48Yes
99999999999999999+99999999999999
Answer:
1.001e+17
Step-by-step explanation:
help please because I feel like my brain is gonna rot from this (please look at the image)
Answer:
124.3
Step-by-step explanation:
42.15+20.00=1/2x
62.15=1/2x
62.15*2
124.3 is the total of her paycheck.
42.1<20.00+x