Answer:
x^2 + -9 x + 18 = (x - 9) x + 18 = (x - 6) (x - 3) all three are alternanate forms.
Step-by-step explanation:
Expand the following:
(x - 6) (x - 3)
Hint: | Multiply x - 6 and x - 3 together using FOIL.
(x - 6) (x - 3) = (x) (x) + (x) (-3) + (-6) (x) + (-6) (-3):
x x - 3 x - 6 x - 6 (-3)
Hint: | Combine products of like terms.
x x = x^2:
x^2 - 3 x - 6 x - 6 (-3)
Hint: | Multiply -6 and -3 together.
-6 (-3) = 18:
x^2 - 3 x - 6 x + 18
Hint: | Group like terms in x^2 - 3 x - 6 x + 18.
Grouping like terms, x^2 - 3 x - 6 x + 18 = x^2 + (-3 x - 6 x) + 18:
x^2 + (-3 x - 6 x) + 18
Hint: | Combine like terms in -3 x - 6 x.
-3 x - 6 x = -9 x:
Answer: x^2 + -9 x + 18 = (x - 9) x + 18 =(x - 6) (x - 3)
what is the inverse of f(x) = -10x - 2
Answer:
f^-1(x)-(x/10)-(1/5).
Hope this helps!
Step-by-step explanation:
(See picture for explanation!)
Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
Answer:
The rate of change of the function at x = 0.6 is approximately -0.72
Step-by-step explanation:
The given information from the graph are;
Points (0, 0) and (1, -0.5)
We have that the graph is that of a cubic function, therefore;
f(x) = ax³ + bx² + cx + d
At f'(x) at (0, 0) and (1, -0.5) = 0 gives;
3ax² + 2bx + c = 0
∴ c = 0
Also
ax³ + bx² + cx + d = 0
d = 0
We have
3a(1)² + 2b(1) + 0 = 0
3·a + 2·b = 0..............(1)
a(1)³ + b(1)² + c(1) + d = -0.5
a + b + 0×(1) + 0 = -0.5
a + b = -0.5..........(2)
Multiplying equation (2) by 2 and subtracting it from equation (1) gives;
2 × (a + b = -0.5) = 2·a + 2·b = -1
3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1
a = 1
From
a + b = -0.5, we have;
1 + b = -0.5 = 0
b = -0.5 - 1 = -1.5
The equation becomes
f(x) = x³ - 1.5·x²
The rate of change of the function at x = 0.6 is therefore given as follows;
f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x
At x = 0.6, we have;
f'(0.6) = 3·(0.6)² - 3·(0.6)
f'(0.6) = 3×0.6² - 3×0.6 = -0.72
The rate of change of the function at x = 0.6 ≈ -0.72
Order the values from
least to greatest:
| -4|,|3|, 0,-1
Answer: -4, -1, 0, 3
resultado de
[tex](4 + 5 + 3) + 8 = [/tex]
Steps to solve:
(4 + 5 + 3) + 8
~Add everything in parenthesis
12 + 8
~Add
20
Best of Luck!
[tex] \huge \purple {\tt {(4 + 5 + 3) + 8 =? }} [/tex]
Solution:By using parenthesis, we get
[tex] \huge \purple {\tt {12 + 8 = 20}} [/tex]
Answer:[tex] \huge \purple {\tt {20}} [/tex]
A baby weighed 8 pounds at birth if she triples her weight by age 2 how much does she weight at age 2
Answer:
The answer is 24 pounds
Step-by-step explanation:
Tripling is another way of saying multiplying by 3, so when you multiply 8 and 3...you get 24
Among other ingredients, a recipe for paella calls for 3/4 pound of chorizo and 1/2 cups of rice. What is the unit rate of pound of chorizo to cups of rice in the recipe?
A. 3/10 pound of chorizo per cup of rice
B. 8/15 pound of chroizo per cup of rice
C. 1 7/8 pound of chorizo per cup of rice
D. 3 1/3 pound of chorizo per cup of rice
Christian's car used 15 gallons to travel 270 miles. How far can he travel on 11 gallons?
Answer:
198
Step-by-step explanation:
270/15 gives us 18, his miles per gallon. multiply that by 11, and you get 198.
One-half of a roll of wallpaper covers 1/10th of a wall. How many rolls of wallpaper are needed to cover half the wall? (a) 2/10 (b) 2 1/12 (c) 5 (d) 10
Answer:
2 1/2 rolls
Step-by-step explanation:
rolls : walls = (1/2) : (1/10) = ? : (1/2) = 5/2 : 1/2 (multiply by 5, since 1/2 = 5/10)
It takes 5/2 rolls = 2 1/2 rolls to cover half the wall.
Answer:
[tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall
The correct option is (b) 2 1/2
Step-by-step explanation:
To determine the number of rolls of wallpaper that are needed to cover half (1/2) the wall,
From the question,
One-half of a roll of wallpaper covers 1/10th of a wall.
Hence, we are to determine the number of rolls of wallpaper that are needed to cover 5/10th of the wall. (NOTE: 5/10th of the wall = 1/2 the wall)
Now,
First, we will find the part of the wall that will be covered by one roll of the wallpaper
If one-half of the roll of wallpaper covers 1/10th of the wall.
Then, one roll (two halves) will cover 2 × 1/10th of the wall
= 1/5th of the wall
Hence one roll will cover 1/5th of the wall
Now, for the number of rolls that will cover half (1/2) the wall
If one roll of the wallpaper covers 1/5th of the wall
Then, [tex]x[/tex] rolls of the wallpaper will cover 1/2 of the wall
[tex]x =\frac{1/2 \times 1}{1/5}[/tex]
[tex]x =\frac{5}{2}[/tex]
[tex]x =2\frac{1}{2}[/tex]
Hence, [tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall
A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this paper?
9x9 sudoko puzzle
——————————-
I done it
I attached it
Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width. Lyle can afford no more than 560 feet of fence. Write
an inequality to show that the perimeter of the dog pen can be no more than 560 feet.
2 (12 + w) + 2w < 560
(12 + 2) + w < 560
o 2(12 + w) + 2w< 560
0 (12+w) + w < 560
Answer:
2(2W+12) < 560
Step-by-step explanation:
Perimeter of a rectangular dog pen P = 2(L+W) where;
L is the length of the dog pen
W is the width of the dog pen
If Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width, then L = W+12
If Lyle can afford no more than 560 feet of fence, this means that the perimeter cannot be more than 560feet i.e P<560
The inequality to show that the perimeter of the dog pen can be no more than 560 feet is expressed as P < 2(L+W)
Substituting the given parameters;
2([W+12]+W)<560
2(2W+12)<560
Hence the inequality to show that the perimeter of the dog pen can be no more than 560 feet is 2(2W+12)<560
Solve by factoring x^4+6x^2-27=0
Answer:
Step-by-step explanation:
x^4+6x^2-27=0
The two factors you need to use for 27 is 9 and 3.
Since the middle term must be plus then the 9 is also plus.
(x^2 + 9)(x^2 - 3)
x^2 + 9 can't be factored in the real number system.
x^2 - 3 = 0
(x + sqrt(3))(x^2 - sqrt(3))
The full factoring answer would be
(x^2+9)(x + sqrt(3))(x^2 - sqrt(3))
I need help I turn this in in less than 20 min
The expression 14 to the power of 6 divided by 14 to the power of 4 is equal to
Answer:
[tex]14^{2}[/tex] [tex]or 196[/tex]
Step-by-step explanation:
[tex]14^{6}[/tex] ÷ [tex]14^{4}[/tex]
all you have to do it subtract
[tex]14^{6} - 14^{4}[/tex]
=
[tex]14^{2}[/tex]
which is equivalent as 196.
to solve [tex]14^{2}[/tex], it's just
14 × 14 = 196
1 2
A gallon of paint will cover 144 square feet of floor space. What are the dimensions of the largest square floor that the gallon of paint will cover?
Please Helppppp I will make u brainliest
what is the value of this expression when p=-2 and q=-1 [(p^2)(q^-3)]^-2
Answer:
Find the exact value using trigonometric identities.
Exact Form: 1/16
Decimal Form:
0.0625
Step-by-step explanation:
make r the subject of the formula t=[tex]\frac{r}{r-3}[/tex]
Answer:
[tex]\displaystyle r=\frac{3t}{t-1}[/tex]
Step-by-step explanation:
We are given the formula:
[tex]\displaystyle t=\frac{r}{r-3}[/tex]
And we are asked to make r the subject of the formula.
We can multiply both sides by r - 3. This reduces the denominator on the right-hand side:
[tex]t(r-3)=r[/tex]
Distribute:
[tex]rt-3t=r[/tex]
Subtracting rt from both sides yields:
[tex]-3t=r-rt[/tex]
Factoring:
[tex]-3t=r(1-t)[/tex]
Divide and simplify:
[tex]\displaystyle \begin{aligned} r & = \frac{-3t}{1-t} \\ \\ & = \frac{3t}{t-1}\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle r=\frac{3t}{t-1}[/tex]
An article was sold for Rs 30
at a loss of 24%, what would
have been sale price, had it
been sold at 17% loss.
Answer:
Rs. 32.77
Step-by-step explanation:
At a loss of 24% sale price = Rs. 30At a loss of 17% sale price = ?----------
Finding cost price:
Sale price = cost - lossIf cost = x:
x - 24% = 300.76x = 30x = 30/0.76x ≈ 39.48SP at a loss of 17%:
39.48 - 17% = 39.48*0.83 ≈ 32.77What is the absolute value of 2.5
☽------------❀-------------☾
Hi there!
~
The absolute value is the distance from 0 to 2.5. In this case the absolute value from 0 to |2.5| is 2.5
❀Hope this helped you!❀
☽------------❀-------------☾
If SLDG is an isosceles trapezoid, what is the value of x?
SD-x5
LG - 5x+21
O A. 26
O B. 23
O C. 13
O D. 18
O E. 24,5
O E Cannot be determined
Answer:
13
Step-by-step explanation:
Applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.
What is an Isosceles Trapezoid?An isosceles trapezoid has two congruent legs and two diagonals that are congruent.
Given:
SD = 8x - 5LG = 6x + 21Thus:
SD = LG
Substitute
8x - 5 = 6x + 21
Combine like terms and find x
8x - 6x = 5 + 21
2x = 26
x = 26/2
x = 13
Thus, applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.
Learn more about isosceles trapezoid on:
https://brainly.com/question/10187910
Question 3 1 pts Strawberries are on sale $7.00 for 3 pints. How much do they cost per pint?
Answer:
$2.33
Step-by-step explanation:
To find how much strawberries cost per pint, we would divide the seven dollars by 3 which will tell us how much each pint costs. Hope this helps, have a great day!
round 27.68 to the nearest tenth
Answer:
27.7
Step-by-step explanation:
For this problem, we will simply use standard rounding conventions to round the number to the nearest tenth.
If the number after the target, the hundreths place in this case, is between 0 and 4, we won't change the tenths place. If the number is between 5 and 9, we will increment the tenths place by one.
So for our number, 27.68, 8 is between 5 and 9 so we will increment the tenths place by one for the round.
Hence, our rounded answer for the nearest tenth is 27.7.
Cheers.
A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. How much has the polygon rotated after 7 minutes?
Answer:
42
Step-by-step explanation:
D-42 on EDG.
A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. The polygon has rotated 42 times after 7 minutes.
A polygon is known to be a plane figure with at least three equal sides and angles.
From the given information,
the sides of the polygon = 60 sidestime to complete a single rotation for 60 sides = 1 hourIn one full revolution, there are = 360°To estimate the revolution completed in 1 minute, we have:
[tex]\mathbf{= \dfrac{360 \ ^ 0}{60 \ ^ 0} }[/tex]
= 6° per minute
Now, to determine how much the polygon has rotated after 7 minutes, we have:
= (6° / minute) × 7 minutes
= 42°
Therefore, we can conclude that the polygon has rotated 42° in 7 minutes,
Learn more about polygon here:
https://brainly.com/question/3491511?referrer=searchResults
HURRRYYYYYYY!! WILL GIVE BRAINLIEST
Find the solution set for the open sentence with the given replacement set. w2+16=8w, {0, 2, 4, 8} 0 2 4 8
Answer:
It’s 4
Step-by-step explanation:
A roller coaster accelerates from an initial velocity of 5.0 m/s to a final velocity of 80
m/s during a 5 second time interval. At what rate does the roller coaster accelerate?
displacement
Velocity =
time
(n=4)
Acceleration =
final velocity – initial velocity
time
(
15 m/s2
15 m/s
-15 m/s2
17 m/s2
Answer:
15m/s^2
Step-by-step explanation:
u=5m/s
v=80m/s
a=?
t=5sec
now
a=v-u/t
a =80-5/5
a=75/5
a =15 ans
One day Freya eats 12 ice creams
in 6 hours and the second day she
eats 14 ice creams in 7 hours. How
many ice creams does Freya eat
per hour?
Answer:
she ate 2 ice creams per hour
Step-by-step explanation:
can someone please help me witch is the answer 20 points to the one who can answer first
First, let's find the slope.
Slope = (7 - (-3)) / (2 - 0) = (7 + 3) / 2 = 10 / 2 = 5
So far our equation looks like: y = 5x + b
Leta plug one of the points into our equation to find b.
-3 = 5(0) + b
Simplify.
-3 = b
The equation is: y = 5x - 3
Answer choice B is correct.
A pyramid has a square base with an area of 225 2. What is the perimeter of the base of the pyramid
Answer:
60 square unit
Step-by-step explanation:
side = √225.2 = 15
perimeter = side x 4
perimeter = 15 x 4 = 60 square unit
1. Find the slope of the line containing the points (9,6) (11,9).
Answer:
[tex]y=\frac{3}{2}x-\frac{15}{2}[/tex]
Step-by-step explanation:
Use the point-slope formula [tex]y-y_{1}=m(x-x_{1})[/tex]
First you have to find m with the formula [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
[tex]m = \frac{9 - 6}{11 - 9} = \frac{3}{2}[/tex]
Choose whichever point you want as [tex](x_{1}, y_{1})[/tex], in this case I'll choose [tex](9, 6)[/tex]
[tex]y - y_{1} = m(x - x_{1})\\y - 6 = \frac{3}{2} (x - 9)\\y - 6 = \frac{3}{2}x - \frac{27}{2} \\y = \frac{3}{2}x - \frac{27}{2} + 6\\y = \frac{3}{2}x - \frac{15}{2}[/tex]
A pitcher contains 19.25 cups of iced tea. You drink 1.25 cups of the tea each morning and 1.5 cups of the tea each evening. When will you run out of iced tea?
Answer:
Seven days
Step-by-step explanation:
From the information given, you know that you drink in a day 1.25 cups of the tea in the morning morning and 1.5 cups of the tea in the evening which is equal to:
1.25+1.5=2.75 cups a day
Now that you know the amount of cups that you drink in a day, you can divide the amount of cups in the pitcher by the amount of cups you drink in a day:
19.25/2.75= 7
According to this, the answer is that you will run out of iced tea after seven days.