Answer:
2x + 1
Step-by-step explanation:
[tex] \frac{(2x² - 5x-3)}{(x - 3)} [/tex]
Factor out 2x² - 5x-3
[tex] \frac{(2x + 1)(x - 3)}{x - 3} [/tex]
divide x - 3 by x - 3
=> 2x + 1
Or another step
Step by Step Solution
STEP
1
:
Equation at the end of step 1
STEP
2
:
2x² - 5x - 3/ x - 3
Trying to factor by splitting the middle term
2.1 Factoring 2x² - 5x - 3
The first term is, 2x² its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .
-6 + 1 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1
2x² - 6x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(2x+1) • (x-3)
Which is the desired factorization
Canceling Out :
2.2 Cancel out (x-3) which appears on both sides of the fraction line.
Final result :
2x + 1
Jolon used the slope-intercept form to write the equation of a line with slope 3 that passes through the point (5, –2). His work is shown below.
Step 1: Negative 2 = 3 (5) + b
Step 2: negative 2 = 15 + b
Step 3: Negative 2 + 15 = 15 + 15 + b
Step 4: Negative 13 = b
Step 5: y = 3x – 13
Analyze the steps. In which step did the Jolon make an error?
He switched the x- and y- values in step 1.
He multiplied incorrectly in step 2.
He added 15 to both sides in step 3.
He forgot to add the b-value in step 5.
Answer:
c
Step-by-step explanation:
The graph of a linear relationship passes through (0, 3), and (3,9). Which is an
equation for this linear relationship? *
Answer:
C y=2x+3
Step-by-step explanation:
Answer:
C y=2x+3
Step-by-step explanation:
Mr. Tan's rectangular swimming pool has an area of (81x2 - 144y2) square feet. What are the dimensions of his pool?
Answer:
The pool dimensions are thus (9x - 12y)(9x + 12y)
Step-by-step explanation:
(81x^2 - 144y^2) is the difference of two squares. Note that you must indicate exponentiation with " ^ ."
Factoring the difference of two squares: a^2 - b^2 = (a - b)(a + b)
Thus, (81x^2 - 144y^2) =
The pool dimensions are thus (9x - 12y)(9x + 12y)
Area of rectangle is Length times of Breadth. The pool dimensions are (9x - 12y) and (9x + 12y) when area of rectangular swimming pool is (81x2 - 144y2)
area of Mr. Tan's rectangular swimming pool is (81x^2 - 144y^2), we need to find the area of rectangle.
What is area of rectangle?Area of rectangle= Length*Breadth
The given area of Mr. Tan's rectangular swimming pool is (81x^2 - 144y^2),
(81x^2 - 144y^2)=Length * Breadth
We know that (a+b)(a-b)=a^2-b^2
So,
The factors of (9x^2-12y^2) is (9x+12y) and (9x-12y)
(9x^2-12y^2)=(9x+12y)(9x-12y)
=Length * Breadth
where length and breadth are two dimensions of rectangle
Therefore (9x+12y) and (9x-12y) are two dimensions of rectangle.
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I need help on this
Answer:
Rate of change is slope
To calculate slope its
y2 - y1 / x2- x1 = slope
Just choose 2 random sets from the table.
I’m gonna go with (0,-10) and (2,20)
Now calculate slope
20 - (-10) / 2 - 0
Solve.
30 / 2
30/2 = 15
Rate of change is 15
Pamela is 6 years younger than Jiri. The sum of their ages is 64. What is Jiro's age?
Let's use j to represent Jiri's age.
If Pamela is 6 years younger that Jiri, her age can be represented by j - 6.
Since the sum of their ages is 64, we can setup the equation j + (j - 6) = 64.
Simplifying on the left, we have 2j - 6 = 64.
Adding 6 to both sides, we have 2j = 70.
Dividing both sides by 2, we have j = 35.
So Jiri is 35 years old and Pamela is 6 years younger or 29 years old.
what is the unit price at the print shop?
please check my answer. and if its wrong please tell me the correct answer and the way to do it..
I think it is none of the above, I am not sure though.
I am getting the answer= 15%
Since:
Total no. of students= 20
No. of students skateboarding= 3
Percentage= 3/20 X 100
= 15%
Find slope and y intercept
Answer:
slope is 1/4； y intercept is -2
Step-by-step explanation:
read your textbook carefully
you note that you are given two point the x-intercept and y-intercept:
(8,0) and (0,-2) respectively.
before doing exercise, you need to know what is the slope formula (read your book).
slope formula is the change in y over the change in x.
or you can perceive that slope mean when x move forward one unit, what is change in y( how many units the y move).
Hope help( read your textbook carefully)
which eqaution dosen't belong
Answer:
you need more info please
Step-by-step explanation:
If a snail moves 1 1/2 feet in 3 3/4 hours, what is its speed in feet per hour? Show you
simplify your answer.
Answer:
2/5 feet an hour
Step-by-step explanation:
d=vt
1 1/2 or (3/2)=v(3.75hours or 15/4)
divide both sides by 3.75hours
0.4f/h=velocity/speed
or in fractions 2/5
The speed of the snail in feet per hour will be 0.40 feet per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
If a snail moves 1 1/2 feet in 3 3/4 hours.
Convert the mixed fraction number into a decimal number. Then we have
1 1/2 feet = 1 + 0.5 = 1.5 feet
3 3/4 hours = 3 + 0.75 = 3.75 hours
Then the speed of the snail in feet per hour will be given as,
S = 1.50 / 3.75
S = 0.40 feet per hour
The speed of the snail in feet per hour will be 0.40 feet per hour.
More about the speed link is given below.
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Pls help me on this problem I’m confused
1 cup = 8 ounces
64 ÷ 8 = 8
he adds two sets of 8 cups of grape juice so 16 total
20 cups of ginger ale + 16 cups of grape juice
36 cups total
Answer:
36 cups
Step-by-step explanation:
8 oz = 1 cup
64 oz / 8 oz = 8 cups
8 cups + 8 cups (due to 2 bottles of 64 oz)
16 cups+ 20 cups
36 cups
what is the domain of the function?
what is the range of the function?
is this relation a function?
yes or no
Answer:
no
Step-by-step explanation:
Tickets to the zoo cost $12 for adults and $8 for children. The school has a budget of $240 for the field trip. An equation representing the budget for the trip is 240=12x+8y. Let 'x' by the number of adults and 'y' be the number of children. Here is a graph of this equation:
Select all the true statements (select 2)
Tickets to the zoo cost $12 for adults and $8 for children. The school has a budget of $240 for the field trip. An equation representing the budget for the trip is 240=12x+8y. Let 'x' by the number of adults and 'y' be the number of children. Here is a graph of this equation:
Select all the true statements (select 2)
If 16 adults go to the zoo, then 9 students can go.
If 8 more adults go to the zoo, that means there will be room for 12 fewer students.
If no adult chaperones were needed, 30 students could go to the zoo.
If ten students go to the zoo, then 15 adults can go.
Answer:
if no adult ones went, 30 students could go.
Step-by-step explanation:
If the cost of the student was 8, and there were 30 students going theoretically, this would be the most logical answer, since 8 multiplied by 30 is exactly 240
Four boys and five girls enter a contest at a local sports venue. A randomly chosen winner will be awarded a free ticket to a sporting event, a free T-shirt, a free water bottle, or a free autographed poster. What is the probability that a boy will win a free T-shirt
Answer:
4/9 or 45%
Step-by-step explanation:
There are 9 people in total, 4 boys so its 4/9, or 0.44444(repeating)
Round up to get 45%.
Answer:
4/9
Step-by-step explanation:
Can someone help me
Answer:
yes I can help you with this work
Solve for p.
p-3.1/6.7 = 4.5/5
Answer:
[tex]5x - 15.5 = 6.7 \times 4.5 \\ 5x = 30.15 - 15.5 \\ 5x = 14.65 \\ 2 .93[/tex]
What should be added to 4c (– a + b + c) to obtain
3a (a + b + c) – 2b(a – b + c)?
Step-by-step explanation:
here hope it is helpful
the writing is not mine so yeah
A builder buys some new tools for his business costing £1200. The store offers 5% trade discount. How much do the new tools cost after the discount?
Answer:
£1140
Solving steps:
Question: A builder buys some new tools for his business costing £1200. The store offers 5% trade discount. How much do the new tools cost after the discount?
Find: How much do the new tools cost after the discount?
Solution:
Step 1: find the value of the percentage
=> £1200 × 5/100
=> 1200/1 × 5/100
cancel the 0 of the denominators of 100 and 1200
=> [tex] \frac{12}{1} \times \frac{5}{1} [/tex]
=> [tex] \frac{60}{1} [/tex]
=> [tex]60[/tex]
Step 2: Substract the value which is 60 to 1200
=> 1200 - 60
Substract 60 from 1200
=> 1140
therefore after discount it cost £1140
What is the value of b?
Answer:
b = 26
Step-by-step explanation:
As angles I and K are equal in the triangle, the sides opposing them should also be of the same length. Therefore, the value of b is equal to the side of the other side's measure, which is equal to 26.
(2x-45)
nearpod is very difficult for me, my apologies
I WILL GIVE BRAINIEST TO WHO ANSWERS THIS!!!!!!!!! In each term, a new row of dots is added. Write the next 3 terms in the pattern.
read closely
An image of a pattern. Term one has fifteen dots in a triangle form, term two has twenty-one dots in a triangle form, term three has twenty-eight dots in a triangle form, the fourth term has thirty-six dots in a triangle form.
Answer:
42 48 56
Step-by-step explanation:
The triangles keep adding 6 6 8 so the answer should be that.
Whats x divided by negative 3?
Answer: -1/3
Step-by-step explanation:
Answer:
-[tex]\frac{x}{3}[/tex]
Step-by-step explanation:
If six model cars cost $12 what is the price for the model cars
Answer:
72 dollars
Step-by-step explanation:
all you do is multiply
A softball team hopes to win at least 3 games
for every 2 lost during the season. If there are
45 games scheduled, how many games can the
team lose and still achieve its goal?
Answer:
y=27
x=18
Step-by-step explanation:
x-games won
y-games lost
x+y=45
3x=2y
x=45-y
3(45-y)=2y
135-3y=2y
135=3y+2y
135=5y
y=27
x=(45-27)
x=18
What are the solutions for the equation 2cos0+1=0 ?
Answer:
2cos0=-1
cos0=-1/2
proved
If you earn $12 an hour and you work 40 hours a week, how much do you earn
a month? APEX
Answer:
160
Step-by-step explanation:
there are 4 weeks in a month and 40 * 4 is 160
write an expression where you multiply a decimal by 100 in a complete sentence describe which direction and how many places does the decimal move??
Answer:
When you multiply a a decimal number by the integer 100 the decimal shifts only two places to the right.
Step-by-step explanation:
please help me guys
Step-by-step explanation:
midpoint : it is the point in the middle marking half of the total distance.
therefore,
1)
EV = LE = LV/2
10 = 5m
m = 2
2)
LR = RO = LO/2
n + 4 = 12
n = 8
3)
LER and LVO are similar triangles. that means they have the same angles, and the ratio of one corresponding pair of lines or sides between both triangles is the same for all corresponding line pairs.
we know e.g. LE/LV = 1/2.
the same ratio applies then to ER/VO = 1/2 = 18/20p.
18/20p = 1/2
18 = 20p/2
2×18 = 20p
36 = 20p
p = 36/20 = 9/5 = 1.88888888888...
4)
VL = 2×EL = 2×10 = 20
5)
LO = 2×RO = 2×12 = 24
6)
as we have already calculated for 3) :
VO = 36
7)
36 + 20 + 24 = 80
8)
10 + 12 + 18 = 40
9)
remember, the and angles in similar triangles.
LVO = 52°
10)
all angles around a single point in one side of a line are together 180°.
in this case there are 2 angles around E : LER and VER.
VER = 180 - LER = 180 - 52 = 128°
Step-by-step explanation:
please mark me as brainlist please
HI will someone please help
Answer:
it would be 90, if you add 60 and 30 together you get 90! :')
Step-by-step explanation:
Jack and Jill each planted flowers in their garden. Jack spent $41 on 4 daylilies and 7 roses Jill spent
$81 on 12 daylilies and 7 roses.
How much do the daylilies cost?
How much do the roses cost?
Jack and Jill added tulips to their garden. Jack added 10 tulips to bring his total to $51. Jill added 8 tulips
to her garden to bring her total to $89. Their friend Tanya also decided to plant a garden. She spent $71
on 4 daylilies, 14 roses, and 9 tulips.
How much to tulips cost?
Answer:
the daylilies cost: $5
The roses cost:$3
The tulips cost:$1
Step-by-step explanation: