f(x)=x^3- X-1; between 1 and 2
Answer:
Here's one way to do it.
Explanation:
Let
f
(
x
)
=
x
3
−
2
x
2
+
3
x
.
(Needed because the intermediate value theorem is a theorem about functions .)
Observe that the equation
x
3
−
2
x
2
+
3
x
=
5
has a root (a solution) exactly when
f
(
x
)
=
5
So the question now is to show that for at least one number
c
, in
[
1
,
2
]
, we get
f
(
c
)
=
5
.
f
is continuous on
[
1
,
2
]
(Because it is a polynomial and they are continuous everywhere.)
f
(
1
)
=
2
and
f
(
2
)
=
6
5
is between
f
(
1
)
and
f
(
2
)
, so
by the intermediate value theorem, there is at least one number
c
, in
[
1
,
2
]
, for which
f
(
c
)
=
5
.
That is, the original equation has a solution.
Step-by-step explanation:
my past Is about to be here What subjects do I need to start studying??? btw I'm a sphomore.
help plz and hurry and I’ll mark u Brainlyest
Answer:
O
4
8
12
Step-by-step explanation:
60,000 + 1,000 + 600 + 10 +1 =
Answer: 61,611
Step-by-step explanation:
I need help on what the answer is
Answer:
86 degrees
Step-by-step explanation:
Solve the question in the image please.
Answer:
Where's the image?
cause i can't solve the question without the image
Help asap please!!!
The graph represents the relationship between x and y. Four sections of the graph are labeled as A through D
Which section is the graph increasing linearly?
A section A
B section B
C Section C
D section D
Answer:
A
Step-by-step explanation:
look at the lines
A is going up and is linear
∠A and ∠B are supplementary. m∠A = (3x + 6), m∠B = (4x + 20). Find the measure of each angle.
Answer:
Step-by-step explanation:
3x + 6 + 4x + 20 = 180
7x + 26 = 180
7x = 154
x = 22
m<A= 3(22) + 6 = 66 + 6 = 72°
m<B = 4(22) + 20 = 88 + 20 = 108°
If
f(x) = ax + b,
where a, and b are constants, what is f(b)?
Select the correct answer below:
O f(b) = 2ab
O f(b) = ab + b
O f(b) = a + b
O f(b) = ab + a
< Previous
Answer:
f(b) = ab+ b
Step-by-step explanation:
Given f(x) = ax + b
To find f(b) plug b in for x.
f(b) = ab + b
1.
If f(x) =1/2 (2x – 3) + 4, what is the value of f(5)?
Answer:
[tex]f(5) =\frac{15}{2}\\\\f(5) =7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]f(x) =1/2 (2x - 3) + 4\\\\f(x)=\frac{1}{2} (2x -3)+4\\\\f(5)=?\\\\f(5)=\frac{1}{2} (2(5) -3)+4\\\\f(5) = \frac{1}{2}\times\:7+4\\\\f(5) =\frac{7}{2}+4\\\\f(5) =\frac{15}{2}\\\\f(5) =7\frac{1}{2}[/tex]
SOLVE 5( 2y-1)-2(2-y)+3(2y+9)=0
Answer:
y = -1
Step-by-step explanation:
5(2y−1)−2(2−y)+3(2y+9)=0
Step 1: Simplify both sides of the equation.
5(2y−1)−2(2−y)+3(2y+9)=0
(5)(2y)+(5)(−1)+(−2)(2)+(−2)(−y)+(3)(2y)+(3)(9)=0(Distribute)
10y+−5+−4+2y+6y+27=0
(10y+2y+6y)+(−5+−4+27)=0(Combine Like Terms)
18y+18=0
18y+18=0
Step 2: Subtract 18 from both sides.
18y+18−18=0−18
18y=−18
Step 3: Divide both sides by 18.
18y/18 = -18/18
Answer: y=−1
Find the average speed Distance:1,375km Time: 2 hours 5 minutes
Answer:
550km/h
Step-by-step explanation:
v (speed) = d/t
v = 1375/2.5
v =550
How many weeks in a year (52 total weeks in a
year) should Bobby Jo hit the first target? *
Answer:
Yes
Step-by-step explanation:
Answer:
no answer
Step-by-step explanation:
not enough info
Kim sold a house for 250,000$,and made a 2% commission.how much money did Kim make from commission for selling the house
Answer:
$5000
Step-by-step explanation:
250000*2%=5000
Make a number line and mark the points that represent the following values of x.
x squared=16
Please mark where this is suppose to go on the number line :)
Answer:
Positive 4
Step-by-step explanation:
4 squared is equal to 16 as 4 x 4 = 16. However, if it was -4 squared, it would equal -16.
Plss help mee
you need to show your work
At the school's fall bake sale, all of the pies were cut into 6 pieces, so each person who bought a piece bought 1/6 of a pie. Each slice of pie sold for $1.00. How much money did the school make if all eleven pies were sold? (In other words, find 11 divided by 1/6 .)
Answer: $66.00
Step-by-step explanation: If every 1/6 is 1 dollar then that means a whole pie is 6 dollars
6 * 11 = 66
Answer:
2 ⅓
Step-by-step explanation:
division is the same as a fraction
the dividend is the numerator and the divisor is the denominator
7÷3 is the same as 7/3
change 7/3 into a mixed number which is 2 ⅓
10! Or 10 factorial please
Answer:
3628800
Step-by-step explanation:
just use a calculator if you need these types of things
if you're using this for a equation then substitute with 10*9*8*...
Mary and Betty went apple picking. Each time Mary picked 3 apples Betty picked 5 apples. At home the girls found out that Betty collected 16 more apples than Mary. How many apples did each girl pick?
Answer: This is a college question?
Step-by-step explanation:
Mary picked 24 apples and Betty picked 40
Answer:
24 and 40
Step-by-step explanation:
there 16 apart from each other and simplyfy it you get a ratio of 3:5
what Is the remainder when the polynomial p(x) = 5x^3 + x^2 + 10 Is divided by (x + 2)?
Answer:
its not showing up on the screen
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 5 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 97? Mark has Number marbles to sell. Don has Number marbles to sell.
Answer:
Mark has 23 marbles, Don has 74 marbles
Step-by-step explanation:
Mark has x marbles, Don has y marbles
y = 5 + 3x
x + y = 97
so
x + (5 + 3x) = 97
4x = 97 - 5 = 92
x = 92/4 = 23
y = 97 - 23 = 74
A baseball measures approximately 74 mm in diameter. What is the volume of a baseball? (Round your answer to the nearest tenth if needed)
Answer:
As Per Given Information
Diameter of of baseball = 74 mm
We've been asked to find the volume of baseball .
As we know
Radius = Diameter/2
Radius = 74/2
Radius = 37 mm ( 1 mm = 0.1 cm)
Radius = 37/10 cm
Radius = 3.7 cm
Now let's calculate the volume of baseball
volume of baseball = 4/3 πr³
Put the given value we obtain
→ volume of baseball = 4/3 × 3.14 × (3.7)³
→ volume of baseball = 4/3 × 3.14 × 50.653
→ volume of baseball = 4/3 × 159.05042
→ volume of baseball = 636.20168/3
→ volume of baseball = 212.06
→ volume of baseball = 212 cm³ ( approx)
So, the volume of baseball is 212 cm³.
Solution:
We know that:
[tex]V_{Baseball} = \frac{4}{3} \pi r^{3} \\ \\ Diameter = 74 \space\ mm\\\\Radius = \frac{Diameter}{2}[/tex]
Finding the area of the baseball:
[tex]V_{Baseball} = (\frac{4}{3})( \pi )(r^{3})[/tex]
[tex]V_{Baseball} = [\frac{4}{3}][ 3.14 ][(\frac{74}{2}) ^{3}][/tex]
[tex]V_{Baseball} = [\frac{4}{3}][ 3.14 ][(37) ^{3}][/tex]
[tex]V_{Baseball} = [\frac{4}{3}][ 3.14 ][50653}][/tex]
[tex]V_{Baseball} = 212067.227 \space\ mm^{3} \space\ (Using\ calculator)[/tex]
Rounding the volume to the nearest tenth:
[tex]V_{Baseball} = 212067.227 \space\ mm^{3} = 212067.2 \space\ mm^{3}[/tex]
Thus, 212067.2 mm³ is the volume of the baseball.
Find the value of x, y, and z in the rhombus below.
Answer:
Step-by-step explanation:
Opposite angles of a rhombus are congruent, so [tex]6x+8=86 \longrightarrow x=13[/tex]
Also, adjacent angles of a rhombus are supplementary, so [tex]86+5z+4=86+7y+3=180 \longrightarrow y=13, z=18[/tex]
The first bus stop or a
bus route is 5 1/2 miies
from school. How many
yards is the first bus
stop from school?
Answer:
9680 yards
Step-by-step explanation:
There are 1760 yards in a mile. That times 5 is 8800. To get the full 5.5 just add half of what’s in a mile (880) and you get 9680 yards. :)
(a+b)=
pls tell the answer
Answer:
I'm Pretty sure a+b is what it says
A spinner with 12 equally sized slices has 12 yellow slices. The dial is spun and stops on a slice at random. What is the
probability that the dial stops on a yellow slice?
Write your answer as a fraction in simplest form.
Answer:
1/1
Step-by-step explanation:
The reason why is because the spinner has 12 slices and on that spinner there is 12 yellow slices meaning all the slices on the spinner are yellow.
This means it is a 100% chance to land on yellow but 100% aas a fraction is 100/100.
You can simplify 100/100 a hundred times to 99/99 to 98/98 you can keep doing it but it's lowest form is the lowest number besides zero and that is 1 so it's lowest form is 1 out of 1 or 1/1 or 100%.
Hope this helps have a great afternoon:)
What is the area of the figure?
96 ft 2
84 ft 2
40 ft 2
can't be determined
Answer:
What ever the length and width is you times them both I don't know if you exactly know that are now but I think it is C
Hope it helps have a great day:)
This double number line diagram shows the amount of flour and eggs needed for 1 batch of cookies.
How much flour is used with 12 eggs?
A person bought some articles at the rate of 5 per rupee (₹) and the same number of articles at the rate of 4 per rupee (₹). He mixed both the types and sold them at the rate of 9 for ₹2. In this business, he suffered a loss of ₹3. The total number of articles bought by him was:
a. 1090
b. 1080
c. 540
d. 545
Answer:
B. 1080Step-by-step explanation:
Lets assume the number of articles was x.
Half of the articles was bought at the price 1/5 rupee each and the other half was bought at the price 1/4 rupee each.
Cost of articles:
1/2x*1/5 + 1/2x*1/4 = 1/2x(1/5 + 1/4) = 1/2x(4/20 + 5/20) = 9/40xMoney made after sale is:
2/9x according to rateThe difference is 3 rupees:
9/40x - 2/9x = 381/360x - 80/360x = 31/360x = 3x = 3*360x = 1080Correct choice is B
The distribution of sample means consists of the____________ of all the possible ___________, __________ of a specific ___________ from a specific population.
Answer:
The distribution of sample means consist of the set of means of all the possible random samples of a specific size(n) from a specific population
PLEASE HELP IM CONFUSED HOW TO FACTORISE THESE
Answer:
c-(y-1)(y+1)
d-(x-8)(x+8)
g-(a-9)(a+9)
h-(x-y)(x+y)
k- -1(x-5)(x+5)
i- -1(b-1)(b+1)
o- (x-20)(x+20)
p- -1(y-30)(y+30)
Step-by-step explanation:
k(special)
-1(x^2-25)
-1(x-5)(x+5)
i
-1(b^2-1)
-1(b-1)(b+1)
(continue with same procedure for such)
c -difference of square
there are all difference of square