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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help plz ill give brainliest
Answer:
30 gallons
Step-by-step explanation:
find the 6 on the x axis, and it meets to the 30 on the y axis, therefore the answer is 30 gallons (sorry if this doesn't make sense or if it's incorrect)
NEED HELP! John wrote the numbers 678,901 and 67,890. How many times greater is the value of 7 in 678,901 than the value of 7 in 67,890?A. 10,000B. 1,000C. 100D. 10
Please help with #4!!
Answer:
I think if you want to enlarge it add 10 to all three sides to get the sides of 13 16 and 16
what is If 1/2 a pound of walnuts cost $3.25. home much is one pound of walnuts?
Answer:
6.50
Step-by-step explanation:
just do 3.25 times 2 hope it helps
−5(10) Helpppp please
Step-by-step explanation:
I will help you if you follow me
Answer:
-50
Step-by-step explanation:
all you do is -5 times 10
please help me
IF YOU DONT KNOW THE QUESTION, PLEASE DONT ANSWER IT FOR THE PONIS. I REALLY NEED IT
Answer:
As follows,
Step-by-step explanation:
1
3x^2y^-1
3x^2/y
2
∛2x^5y^3
2^(1/3)x^(5/3)y^(3/3)
2^(1/3)x^(5/3)y
3
5^(4/4)x^(1/4)y^(3/4)
∜5^4xy^3
Find the value of x.
Answer:
for this problem we use the sine function
[tex] \sin(x) = \frac{opp}{hyp} \\ \sin(38 ) = \frac{x}{100} [/tex]
multiply both sides of the equation by 100
[tex]100 \sin(38) = \frac{100x}{100} [/tex]
100 cancels on the right hand side of the equation
[tex]100 \sin(38) = x \\ x = 61.566\:ft[/tex]
Which best describes the graph of the function f(x) = 4(1.5)x?
Answer:
B
Step-by-step explanation:
Since this Equation isn't linear because of the squaring, we can eliminate A and C which imply linear functions. Then it's as easy as pluging in zero for the equation and seeing which one works, and you get an answer of B
Cat food costs $2.85 for five cans. Ben only wants to buy one can. How much will it cost?
Answer:
$0.57 for each can of cat food
Step-by-step explanation:
2.85/5 = 0.57 giving you the answer
Answer:
it would cost 0.57 cents!
Explanation:
you'd have to divide 2.85 by 5, because if it is that much for 5 cans, and he only wants to buy 1, you'd divide it by 5, to get 0.57 :)
3) if the cost of 1 pen is Rs.10, find the cost of 5 pen
Answer: 5 pens cost Rs.50
Explanation: Since 1 pen costs Rs.10, you will need to multiply the number of pens (1) and the cost of that number of pens (Rs.10) by the amount of pens you must find the cost for (5). Since 10 times 5 is 50, that means that 50 is the cost of 5 pens.
I hope this helps!
B: Josh starts off the weekend with $5,25 and earns $7.50 for each hour that he works. At
weekend he has $57,76. How many hours did he work?
PLEASE HELP I WILL GIVE BRAINLY THINGY
Answer:
23hrs
Step-by-step explanation:
Can someone explain how to write a fraction in simplest form? Example: 5/8-(7/8) I’ll mark as brainliest!!!!
Answer:
-2/8 or 1/4
Step-by-step explanation:
5/8-7/8, u sbtract the numerator then divide
subtract the numetrator=5-7=-2
divide= -2/8=-1/4
3(6d + 1) = ?
How do I see what the d = to multiply it 3x6d but it doesn’t shows what the d= does the d = 1 since it’s only 1 d? Or how do I simplify this
Answer:
18d+3
Step-by-step explanation:
start with 3(6d+1)
separate the problem into 3(6d)+3(1)
simplify to get your answer:
18d+3
Answer:
18d + 3
Step-by-step explanation:
3 ( 6d + 1 )
= ( 3 x 6d ) + ( 3 x 1 )
= 18d + 3
Part E
? Question
How would the situation change if the interest on Emma's credit card were compounded annually
rather than monthly, and she didn't make any payments toward the balance?
Select the correct answer from each drop-down menu.
After 4 years, Emma would owe approximately $ M for her original purchase of $300.
It would take around years for her balance to increase from $300 to $450.
Answer:
$525
2.9 years
Step-by-step explanation:
This question is about financial management. It is to be noted that it would take around 2.9 years for her balance to increase from $300 to $450.
What is the calculation for the above?Note that according to the question,
After 4 years, Emma would owe about $525 for her original purchase of $300.
The equation will be:
300 * (1 + x)[tex]^{4}[/tex] = 525 (This is based on the compound interest formula_
⇒ (1+x)[tex]^{4}[/tex] = 7/4 (If we divide both sides by 300)
Hence
x = 0.1502
= 15.02%
When the balance ups from $300 to $450,
We can state that:
300 * ( 1+ 15.02%) [tex]^{y}[/tex] = 450
⇒ Hence, y = 2.9 years.
Learn more about financial management at:
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25% of 94?
please explain!
Answer:
23.5Step-by-step explanation:
25% of 94
[tex] = 94 \times \frac{25}{100} [/tex]
[tex] = 94 \times \frac{1}{4} [/tex]
= 23.5 (Ans)
Answer:
25% of 94 is 23.5
Step-by-step explanation:
step 1: Convert the problem to an equation using the percentage formula: P% * X = Y.
step 2: take your percent then turn it into a decimal like 10% is 0.10
step 3: then multiply your decimal by your whole number like 0.10 * 65 to get your answer
plz give brain if this helps and is correct thx <(^w^)>
Write an equation for the line passing through
the points (4,-3) (-2, -6)
Answer:
y=1/2x-5
Step-by-step explanation:
By solving for slope, we get 1/2
We use the equation b=y-mx to find the y intercept
b= -5
Equation: y= 1/2x - 5
What is the value of x in the triangle below?
ModuleTwoPostAs...
a
>> Q
3x
T
V
8x - 30
R
15
45
6
18
Answer:
d
Step-by-step explanation:
Which of the following rational number between 3/7 and 7/8 ?
13/56
19/56
27/56
53/56
Answer:
Step-by-step explanation:
There are two ways to do this. You could use your calculator to find out the decimal numbers that are equivalent to the two given fractions. Then check which one of the givens falls between these two numbers. I wouldn't do it that way -- not when you are told that the answer has 56 as the denominator. So ...
The best way to do it is to change the two givens so that they have a denominator of 56
3/7 = 3*8/7*8 = 24 / 56
7*7 / 7*8 = 49 / 46
So you need a number that is between 49 and 24
There is only one 27 / 56
Could someone please help answer this thanks so much, please no spam, will give brainliest (homework help) thank you!
Answer:
x > -7
make sure to put the sign with the line under it because I can't type it
You need 520 mL of a 15% alcohol solution. On hand, you have a 65% alcohol mixture. How much of the 65% alcohol mixture and pure water will you need to obtain the desired solution?
You will need _____ mL of pure water and _____ mL of the 65% solution.
Answer:
400 ml, 120 mlStep-by-step explanation:
Alcohol content of 15% solution:
0.15*520 = 78 mlVolume of 65% solution containing 78 ml of alcohol:
78/0.65 = 120 mlRequired water volume to obtain 15% solution:
520 - 120 = 400 ml1. What is the constant of proportionality?
2. What is the equation?
Answer:
y = 1/3a
Step-by-step explanation:
y = ka
1 = 3k
k = 1/3
Confirm constant: (4-1)/(12-3) = 3/9 = 1/3
1 = 3(1/3) + b
1 = 1 + b
b = 0
y = 1/3x or 1/3a
Mike went to the store to buy shirts. The shirts were $45 each. The store was offering the following discount:
Buy 1 shirt at regular
price and get any 2
shirts of the same
price for 40% off!
Mike decided to buy 3 shirts. Not including sales tax, how much money did Mike save by buying the shirts at the discounted price?
$36
$54
$81
$99
Answer:
Mike saved 54 dollars
Step-by-step explanation:
because 40% of $45 is $18. so that makes the other 2 shirts 27 dollars a piece. so he saves a lot of money.
58
4 25
What is the mixed number of decimals
Answer:
fun fact : by reading what i just right u just lost 5 sec of your life
Step-by-step explanation:
K(–5, –9); rotation 180° about the origin, translation 3 units left
Answer:
Step-by-step explanation:
Rotate 180 degrees about the origin
X(x,y) ====> X'(-x,-y)
K(-5 , - 9) = K ' (- -5, - - 9)
K' (5,9)
3 Units Left.
y is unchanged.
x becomes x - 3
K'(5,9) ===>k" (5 - 3,9)
k"(2,9)
The leftward motion does not look done the same way as moving a parabola left. But you are just changing the x value to move a point left. You are not imposing other rules on the figure.
Plz help it’s due tonight!!!
Answer: AB≅EF, ∠B≅∠E, BC≅DE
Step-by-step explanation:
AB and EF are both marked with one line, making them congruent.
The same goes for BC and DE since they are marked with two lines.
Angles B and E are congruent because of the marking that is specified in both figures.
(sinα+cosα)^2−(sinα−cosα)^2
Answer:
Error
Step-by-step explanation:
The answer is Error u might want to ask ur teacher
Solve for x ... please help
Answer:
[tex]7x + 49 \degree = 2x + 94\degree \\ 7x - 2x = 94\degree - 49 \degree \\ 5x = 45\degree \\ x = \frac{45}{5} \\ x = 9 \\ check \\ 7(9) + 49 = 112\degree \\ 2(9) + 94 = 112\degree[/tex]
Determine if the sequence 0.2 comma 1 comma 5 comma 25 comma... is arithmetic or geometric. Then identify the next term in the sequence.
A
geometric; 125
B
arithmetic; 75
C
arithmetic; 125
D
geometric; 75
Answer:
The answer would be C.
Step-by-step explanation:
0.2 x 5 = 1
1 x 5 =5
5 x 5 = 25
So your next number in the sequence should be 125.
Can you help me please
Answer:
a. 8, 14, 20
x=5 when y=11
Step-by-step explanation:
Just subsititute the x in the equation with the number that represents x.
PLEASE ANSWER SO I DON’T FAIL THIS
Copy Z DEF to the line so that S is the
vertex.
This task will be complete when you have
constructed an angle with vertex S that is
congruent to ZDEF..
