By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex].
How to find a solution of two functions by direct inspection
According to the table, the value of [tex]x[/tex] must be between 3 and 3.5. [tex]x[/tex] is the solution of [tex]f(x) = g(x)[/tex] if and only if [tex]f(x) - g(x) = 0[/tex]. Let suppose that [tex]x = 3.3[/tex], then:
[tex]3.3^{2}+13 = 3\cdot (3.3) + 14[/tex]
[tex]-0.01[/tex]
As we need only two decimals, approximation seems to be reasonable.
By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex]. [tex]\blacksquare[/tex]
RemarkStatement is incomplete and incorrectly formatted, correct form is presented below:
Cora is using successive approximations to estimate a positive solution to [tex]f(x) = g(x)[/tex], where [tex]f(x) = x^{2}+13[/tex] and [tex]g(x) = 3\cdot x + 14[/tex]. The table shows her results for different input values of [tex]x[/tex]:
x f(x) g(x)
0 13 14
1 14 17
2 17 20
3 22 23
4 29 26
3.5 25.25 24.5
To learn more on numerical methods, we kindly invite to check this verified question: https://brainly.com/question/19034634
Type
the correct answer in each box.
A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is
units. The point (-15, lies on this circle.
Answer:
radius = 17 units
equation of the circle =( x -h)^2 +(y -k) ^2 = r^2
or , (8 -(-7))^2 + (7-(-1))^2 = r^2
or, (8+7)^2 + (7 + 1)^2 = r^2
or, (15)^2 + (8)^2 =r^2
or, 225 + 64 = r^2
or 289 =r^2
or, 17^2 = r^2
or, r = 17 units
Please check the point by inserting centre(-7,-1) in place of (h,k ) and point in (x , y) and radius in r in the following equation
(x-h)^2 + (y - k)^2 = r^ 2.
Mark's father travels 463 miles every month for his job. How many miles does he travel in 8 months? A 3,204 miles B 3,284 miles 3,604 miles D 3.704 miles
Answer:
D 3,704
Step-by-step explanation:
Answer:
the answer is 3,704
Step-by-step explanation:
wouldn't you just multiply 483 by so the answer is 3,704
3 men go to a hotel, the room price is 15 dollars so each man pays 5 bucks, but then the receptionist realizes there is a discount so the room is only 10 dollars, so she hands back 5 dollars, so each man decides to take a dollar each and give the receptionist a 2 dollar tip, now if you add what I have said up, you will realize there is a dollar missing, please someone help me figure this out, its been in my mind for days now
Answer:
He might have dropped it.
Step-by-step explanation:
If the manager didn't have any 5 dollar bills then he could have given him 3 dollars in ones and one 2 dollar bill. 2 dollar bills are rare now, he wanted the 2 dollar bill to keep for himself and also dropped one of the single dollar bills.
396 divided by 11. Step by step explanation
Answer: 36
Step-by-step explanation: using long division you take 11 divide into 398 so first, 11 goes into 39, 3 times
you have 6 left, so keep the 6 and drop down the other 6
next 11 goes into 66, 6 times making it 396/11= 36
hope this helps
Answer:
36
Step-by-step explanation:
396 divided by 11 is equal to 36
36
11/[tex]\sqrt{396\\}[/tex]
- 33
066
- 66
0
A transformation is a of a figure to the or
Answer: change, position, shape
Step-by-step explanation:
A line has this equation: y = -8x + 8,
Write an equation for the parallel line that goes through (9,7)
[tex]=======================================[/tex]
parallel lines have the same slope; it means that if we have a line with a slope of -8, then the line parallel to the given line has the same slope (-8)
now, we are also given a point that the line passes through:
(9, 7)
we can use point-slope form:
[tex]\pmb{y-y1=m(x-x1)}[/tex]
[tex]\pmb{y-7=-8(x-9)}[/tex] (point-slope form)
now, convert to slope-intercept form, if necessary:
[tex]\pmb{y-7=-8x+72}[/tex]
[tex]\pmb{y=-8x+72+7}[/tex]
[tex]\pmb{y=-8x+79}[/tex]
[tex]================================[/tex]
note:-Hope everything is clear; if you need any more explanation, kindly let me know.
The diameter of a circle is 12 cm. Find the circumference to the nearest tenth}to the nearest tenth.
Answer:
multiple by pie or 3.14........
Answer:
38 or 37.7 when not rounded
Step-by-step explanation:
Given the Production Function Q = 72X + 15X 2 - X 3 , where Q =Output and X=Input (5 marks) a) What is the Marginal Product (MP) when X = 8? B) What is the Average Product (AP) when X = 6? C) At what value of X will Q be at its maximum? D) At what value of X will Diminishing Returns set in?
Answer:
a.) Marginal Product (MP) = 120
b.) Average Product = 126
c.) At x = 12, the output is maximum.
d.) After 5 levels of inputs diminishing returns set in.
Step-by-step explanation:
Given that,
Q = 72x + 15x² - x³
a.)
Marginal Product is equal to
[tex]\frac{dQ}{dx} = 72 + 30x - 3x^{2}[/tex]
At x = 8
MP = 72 + 30(8) - 3(8)²
= 72 + 240 - 192
= 120
∴ we get
Marginal Product (MP) = 120
b.)
Average Product is equals to
= [tex]\frac{Q}{x}[/tex]
= 72 + 15x - x²
At x = 6
Average Product = 72 + 15(6) - 6²
= 72 + 90 - 36
= 126
∴ we get
Average Product = 126
c.)
For Maximizing Q,
Put [tex]\frac{dQ}{dx} = 0[/tex]
⇒72 + 30x - 3x² = 0
⇒24 + 10x - x² = 0
⇒x² - 10x - 24 = 0
⇒x² - 12x + 2x - 24 = 0
⇒x(x - 12) + 2(x - 12) = 0
⇒(x + 2)(x - 12) = 0
⇒x = -2, 12
As items can not be negative
∴ we get
At x = 12, the output is maximum.
d.)
Now,
For Diminishing Return
[tex]\frac{d(MP)}{dx} = \frac{d^{2}Q}{dx^{2} } < 0[/tex]
⇒30 - 6x < 0
⇒-6x < -30
⇒6x > 30
⇒x > 5
∴ we get
For x > 5, the diminishing returns set in
i.e.
After 5 levels of inputs diminishing returns set in.
Plzzz I Need help ASAPPPPPPP
Answer:
1, 3, and 4 would be correct answers
Step-by-step explanation:
1.) -x - 2x - 3y - 2y + 1 + 1 = -3x -5y + 2
2.) -3x + 2y + 3y + 2 = -3x + 5y + 2
3.) -3x - y - y - y - y - y + 2 = -3x - 5y + 2
4.) -x - x - x - y - y - y - y - y + 1 + 1 = -3x - 5y + 2
5.) x + x + x + y + y + y + y + y + 1 + 1 = 3x + 5y + 2
Hope this helps!
- 7th Grade Work -
Please answer with an equation that would represent the situation.
A bagel shop offers a mug filled with coffee for $7.75, with each refill costing $1.25. Kendra spent $31.50 on the mug and refills last month. How many refills did Kendra buy?
Answer:
7.75+1.25x=31.50
Step-by-step explanation:
so in the end the answer is 19
Answer:
19 refills
Step-by-step explanation:
7.75+1.25x=31.50
Subtract the 7.75 on the other side..
1.25x=23.75
Then divide 1.25 from the 23.75
So, x which is the refills equal 19
If you solve this correctly I’ll give you brainliest!
PLEASE HELP ITS A TEST!!
Point A = (3, 4) Point B = (11,8)
Find the point on segment AB that is 3/4 of the distance from A to B
Answer:
b
Step-by-step explanation:
pls help pls for brainliest
Answer:
I think the answer could be C
Step-by-step explanation:
Sorry if im wrong
I need help please. Whatever you can with the 1st question
Find the area of the triangle.
A right triangle has a base of 7 meters and a height of 6 meters.
7 m 6m
Answer:
7 x 6 = 42, 42 divided by 2 (x 1/2) = 21 meters
Step-by-step explanation:
Formula of area of a triangle:
BH x 1/2
base x height x 1/2(basically just dividing by 2)
Answer:21 m2
Step-by-step explanation:
h= 6
b= 7
6x7= 42
42 divided by 2 = 21
Area= 21m
If 12 cans of cat food cost $40.00 then
how much would it cost for 60 cans ?
Answer:
$200.00
Step-by-step explanation:
because if you do a ratio:
12=40
60=?
60 divided by 12 is 5, and whatever you do to the top you must do to the bottom, so then you gotta do 40 times 5=200
What is -3y(y-8)(2y+1)=0
Step-by-step explanation:
(-3y^2+24y)(-6y^2-3y)
open the bracket and collect the like terms
-3y^2-6y^2+24y-3y
-9y^2+21y
A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?
Answer and Step-by-step explanation:
The answer is acute.
Acute angles are angles that have a degree that is less than 90 degrees.
Obtuse angles are angles that have a degree that is more than 90 degrees.
Right angles are angles that are 90 degrees.
Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.
#teatrmees #PAW (Plant And Water)
ABC has vertices at A(3.2), B(1.4), and C(2.7).
What will be the new vertices after a 90° counter clockwise rotation about the origin?
Answer:
A = 1,4
B = 2,1
C = -4,-5
Step-by-step explanation:
The 90 degree anticlockwise rotation around the origin (0,0) would over lap the y axis around 1 and due to this the formation would show C point at -4,-5
Plz help! No link plz! I need to finish fast!
K/-8 = -6
Can I have help on this.
Answer:
=48
Step-by-step explanation:
Answer:
k/-8=-6
k=-6*-8
k=48
Step-by-step explanation:
Need answer FAST!! (Something is incorrect in their work but I can’t figure it out) “Charlotte’s ice skates cost $30.45 less than her skateboard. Her ice skates cost $95.28. How much did her skateboard cost?”
Answer:
Skateboard costs 125.73$
Step-by-step explanation:
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x=28.9
Step-by-step explanation:
tan(61)=x/16
Which expression(s) result(s) in negative answer(s), when simplified?
Select ALL that apply.
-1+(-5)
2-(-4)
-3+2
+2
4+ (-2)
o 5-(-5)
06-(-1)
Which statement is true?
A) function is a relation where each output value is assigned to exactly one input value.
B) The domain of a function is the set of all output values, or y-values, for which the function is defined.
C)The range of a function is the set of all input values, or x-values, for which the function is defined.
D)To write the equation y = ax + b in function notation, substitute f(x) for y.
Answer:
D
Step-by-step explanation:
Answer: D
Step-by-step explanation:
A function is a relation where each input value is assigned to only one output value.
The domain of a function is the set of all input values, or x-values, for which the function is defined.
The range of a function is the set of all output values, or y-values, for which the function is defined.
Which A, B, & C are wrong. So D, is the one that makes the most sense.
In the figure, d || m. What is the value of x?
Answer:
x = 53
Step-by-step explanation:
The angle labeled with the expression "2x - 20 " and the angle with the measure of 86 degrees are opposite interior angles.
Opposite interior angles are congruent
This means that 2x - 20 = 86
This is our equation.
We now solve for x using basic algebra
2x - 20 = 86
step 1 add 20 to each side
-20 + 20 cancels out
86 + 20 = 106
now we have 2x = 106
step 2 divide each side by 2
2x / 2 = x
106 / 2 = 53
we're left with x = 53
Simplify 12 − 32 + (5 − 1)2.
A) 12
B) 18
C) 19
D) 97
12-32+[5-1]x2
-20+4x2
-20+8
=-12
The simplified form of the given expression is -12. Therefore, option A is the correct answer.
What is simplify?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
The given expression is 12-32+(5-1)2.
Here, 12-32+4×2
= -20+8
= -12
Therefore, option A is the correct answer.
Learn more about the simplification here:
brainly.com/question/2804192.
#SPJ6
find the surface area
9)A linear equation is graphed. What is the y-intercept of the linear
equation?
*
This is where the diagonal line crosses the vertical y axis.
The y intercept always occurs when x = 0. The location of the y intercept in (x,y) form is (0,-1)
what is the length of side c?
Answer:
try doing 18.1
Step-by-step explanation:
hope this helps