Answer:
22
Step-by-step explanation:
Simplify the expression
Select all the points of intersection between the graphs
of the functions f(x) = (x + 5)(x - 2) and
g(x) = (2x + 1)(x - 2).
Answer:
f(x)=(x+5)(x-2)
g(x)=(2x+1)(x-2).
x=10x+2
x=3x-2
x=12×+1
x=13
A function is defined as a relation between a set of inputs having one output each.
The point of intersection between the function f(x) and g(x) is x = 4.
What is a function?A function is defined as a relation between a set of inputs having one output each.
We have,
f(x) = ( x + 5 ) ( x - 2 )
g(x) = ( 2x + 1 ) ( x - 2 )
To find the points of intersection between the two functions we must equal the function.
f(x) = g(x)
( x + 5 ) ( x - 2 ) = ( 2x + 1 ) ( x - 2 )
( x - 2 ) gets canceled
x + 5 = 2x + 1
5 - 1 = 2x - x
4 = x
x = 4
This means that at x =4 the function f(x) and g(x) intersect.
we can see that at x = 4 both the functions have the same value.
f(x) = ( x + 5 ) ( x - 2 ) = ( 4 + 5 ) ( 4 - 2 ) = 9 x 2 = 18
g(x) = ( 2x + 1 ) ( x - 2 ) = ( 2 x 4 + 1 ) ( 4 - 2 ) = ( 8 + 1 ) ( 4 - 2 )
= 9 x 2
= 18
Thus the point of intersection between the function f(x) and g(x) is x = 4.
Learn more about functions here:
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Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer.
2x+65=4x−3
Answer:
x=7/6
Step-by-step explanation:
subtract the 4x from both sides of the equation
(2x+6)-4x=4x-3-4x
find common denominator
(2x+6)/5+(5(-4)x)/5=4x-3-4x
then combine fractions
(2x+6+5(-4)x)/5=4x-3-4x
then multiply the 5&4
(2x+6-20x)/5= 4x3-4x
combine terms
(-18x+6)/5= -3
then multiply everything by 5
-18x+6= -15
subtract the 6 from both sides
-18x= -21
divide -21 by -18
(-21)/(-18)=x
find greatest common multiple (3) and solve
x = 7/6
The graph shows a scuba diver's ascent over time. Use the graph to write an equation in slope-intercept
form that represents the diver's depth over time.
Answer:1/2 (1 over 2)
Step-by-step explanation:
Answer:
get it from some else pllease
Step-by-step explanation:
type this in
The graph shows a scuba diver's ascent over time. Use the graph to write an equation in slope-intercept form that represents the diver's depth over time.
make q the subject of the formula 5(q+p)/2 = 3 + 4p
Answer:
q = [tex]\frac{6+3p}{5}[/tex]
Step-by-step explanation:
[tex]\frac{5(q+p)}{2}[/tex] = 3 + 4p ( multiply through by 2 to clear the fraction )
5(p + q) = 6 + 8p ← distribute parenthesis on left side )
5p + 5q = 6 + 8p ( subtract 5p from both sides )
5q = 6 + 3p ( divide both sides by 5 )
q = [tex]\frac{6+3p}{5}[/tex]
Helppp meeee pleaseeee !
Answer:
51.2 degrees Celsius
Step-by-step explanation:
Rearrange x = 3g + 2 to make g the subject.
Answer:
In order to make g as the subject, we have only g on the left side and rest of the terms are denoted on the right. So, we consider it as X=3g+2 and switch to other side's 3g+2=x. It has to divide both sides by 3 and literally consider for g=1/3x-2/3 and therefore answer is g=1/3X-2/3.
6 3/4 ÷1 1/8
HELP ME PLEASE
Answer: 6
Step-by-step explanation:
is 0.001 a rational or irrational number
Answer:
rational number
Step-by-step explanation:
A rational number cannot be divisible by multiple factors. (hint. every number is divisible by itself and 1)
(Due in 20 minutes!)
Write an equation of the line in point-slope form that passes through the given points in the table. Then write the equation in slope-intercept form.
Answer:
[tex]y=\frac{1}{2} x-40[/tex]
Step-by-step explanation:
Slope interccept form: y=mx+b
(m= the slope, b= the y-intercept (the y value when x=0))
for every 2 x-values the y-value increases by 1. Slope is written as [tex]\frac{rise}{run}[/tex] or [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}}[/tex] which is the change in the y-values divided by the change in x-values. You can find the slope by plugging in points.
[tex]\frac{(-42)-(-41)}{(-2)-(-4)} =\frac{1}{2\\}[/tex] so now you have [tex]y=\frac{1}{2}x+b[/tex]
b is whatever the value of y is when x=0. According to the table when x=0 then y=-40. The final equation is [tex]y=\frac{1}{2} x-40[/tex]
Solve the math problem
Answer:
x = 52°Step-by-step explanation:
The 124° angle is exterior to the given triangle.
The exterior angle is the sum of non- adjacent interior angles:
x + 72 = 124x = 124 - 72x = 52°Sum.of two interiors=Exterior
x+72=124x=124-72x=52°Can someone help me do this i need helpppp
classify -0.25 as rational or irrational. explain.
Answer:
Rational
Step-by-step explanation:
Rational numbers include fractions and decimals that end or have a pattern. Irrational numbers, however, do not end and have an arbitrary pattern. -0.25 is rational because it is a terminating decimal which means it ends.
Examples of irrational numbers include:
√2 , -√101 , π (pi)
Examples of rational numbers include:
-0.89 , √16 , 1/3
i hope this helps :)
Plz help it’s due tonight!!!
Please solve the math problem... I will mark you brainliest
Answer:
the answer is 140
........
−3/5−(−2/5)=
What is the sum to this problem hurry fast awnser plz
[tex] \frac{ - 3}{5} - ( \frac{ - 2}{5} ) \\ = \frac{ -3 }{5} + \frac{2}{5} \\ = \frac{ - 3 + 2}{5} \\ = \frac{ - 1}{5} [/tex]
Answer:
[tex] - \frac{3}{5} - ( - \frac{2}{5} )[/tex]
[tex] - \frac{3}{5} + \frac{2}{5} [/tex]
[tex] \frac{ - 3 + 2}{5} [/tex]
[tex] - \frac{ 1}{5} [/tex]
vx-w=2
rearrange it and make x the subject
Answer:
[tex]vx - w = 2 \\ vx = 2 + w \\ x = \frac{2 + w}{v} [/tex]
2x+20=12x by first subtracting 20 from each side what property allows you to do so does it help you get closer to finding a solution what is a better first step
Answer:
Step-by-step explanation:
2x+20=12x
We can subtract 2x from both sides:
2x+20-2x=12x-2x
20=10x
20/10=x
x=2
Square root of 7921....
Answer:
89
Step-by-step explanation:
Find the values of a through e that make these two relations inverses of each other.
Answer:
what are we finding the values of there should be a picture or something
Step-by-step explanation:
If <1 and <2 are complementary angles, and m<1 = 74", find m<2
what’s the answer?
Answer:
m<2=16
Step-by-step explanation:
How do I solve this. Plz do step by step explanation so I can solve these kind of problems in the future. Thanks
Find the values of x and y that maximize or minimize the objective function for each graph.
And Plz don't make me download any thing.
Answer:
very hard
this is a really hard problem but ignore the graph and pay attention to the numbers
Step-by-step explanation:
A hand held digital music player was marked down 1/4 of the original price.
If the sales price is $128.00, what was the original price?
Answer:
A) you would divide $128 by 4, getting $32. then add that to the original price, being $160.
B) you would divide $160 by 2, getting $80, then add those two together in order to find what it was marked up to, is $240. hopeful, this helps
Step-by-step explanation:
HELP ASAP PLEASE DUE TOMORROW!!! THANK YOU :)
Answer:
-155.15
-223.75
Step-by-step explanation:
Transaction 1 was a deposit of 360. The account had nothing in it before that deposit. After the 360 deposit the balance is 360.
Transaction 2 is -22.50. That means 22.50 was withdrawn (taken out) from the account. The balance after transaction 2 is 360 - 22.50 = 337.50.
Before transaction 3 takes place, the balance is 337.50.
After transaction 3 takes place, the balance is lower. It is now 182.35.
The amount of money taken out in transaction 3 is 337.50 - 182.35 = 155.15. Transaction 3 is -155.15.
The balance after transaction 3 is 182.35. The balance after transaction 4 is -41.40 which is lower than 182.35, so transaction 4 is again withdrawing money from the account.
The amount of transaction 4 is:
182.35 - (-41.40) = 223.75
Transaction 4 is: -223.75
Answer:
-155.15
-223.75
12x-2=12x solve for x or is it no solution
12x - 2 = 12x
Step 1:
12x - 12x = 0
Step 2:
Bring down your -2 and your x
Answer:
x = -2
( BRAINLIEST QUEATION)
Before Ahmed started to diet. his mass was 108kg. His mass now is 88kg. What percentage of his original mass has he lost?
Answer:
Step-by-step explanation:
Weight decreased = 108 - 88 = 20 Kg
Percentage decrease = [tex]\frac{20}{108}*100[/tex]
= 18.52%
The graph of a linear function f passes through the point (3, -10) and has a slope of -5. What is the zero ?
A. 1
B. -1
C. 5
D. -5
Really need help.
Answer:A
Step-by-step explanation:
if f(x)=2x^2+12 , what is f(3)
Answer:
f(3) = 30
Step-by-step explanation:
f(3) = 2(3)^2 + 12 = 30
Determine the number of lines of symmetry for each figure.
Answer:
1) 6
2)0
3)1
The lines of symmetry are like the line that are the perfect half
How does a sequence of translations , relections , and rotations result in congreunt figures
Answer:
if the size (and shape) of the figure doesn't change then it's congruent
Step-by-step explanation:
Use your graphing calculator to solve the equation graphically for all real solutions
23 – 6x2 + 4x + 16 = 0
Solutions: 2 =