Answer:
(3x+1)(x+3) is the factorised form for the expression.
Step-by-step explanation:
:3
x
2
+
10
x
+
3
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
a
x
2
+
b
x
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
3
⋅
3
=
9
and,
N
1
+
N
2
=
b
=
10
After trying out a few numbers we get:
N
1
=
9
and
N
2
=
1
9
⋅
1
=
9
, and
9
+
(
1
)
=
10
3
x
2
+
10
x
+
3
=
3
x
2
+
9
x
+
1
x
+
3
=
3
x
(
x
+
3
)
+
1
(
x
+
3
)
(
3
x
+
1
)
(
x
+
3
)
is the factorised form for the expression.
is the factorised form for the expression.
What is the equation of the function that is graphed as line a? y= 2x - 1 y= -x y = 3x y= - x - 1
Answer:
y= - x - 1
Step-by-step explanation:
You can see it goes through -1 on both axis' and it's the opposite way, making it -x
PLEASE HELP WILL GIVE BRAINLIEST
Please explain too just so I can believe you. If someone else answers I will give you brainliest (if you are correct only)
Answer:
B. y = 3x + 1
Step-by-step explanation:
We can look at the table like a bunch of values, where (x) is what is inserted into the equation, and (y) is what comes out.
Now, simply insert the (x) values into each equation and see if they work out or not.
y = (1/3)(-1) + 1 does not equal -2, meaning this equation is defunct.
y = 3(-1) + 1 = -2; y = 3(0) + 1 = 1. This must be the equation as it works for the (x) values given. You can try the other equations, but a simple look at them is all you need to prove them false.
PLEASE HURRY !!!
B
c
Which statement is correct for AABC and AA'B'C'?
SABC - AA'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1 and then rotating it about the origin by 90 degrees
6
AABC - AA'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees
AABC - AA'BºC, because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees
AABC - AA'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 90 degrees
3
Answer:
2nd choice
Step-by-step explanation:
1. dilation factor: 1/2
2. rotation: about origin anti-clockwise 180°
Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
We have to find the statement which is correct for triangle ABC and triangle A'B'C'.
Let us find the coordinates of triangle ABC
A=(2, 2), B=(2, 10) and C=(8, 12)
After transformation the triangle A'B'C'.
Coordinates A' = (-1, -1), B(-1, 5) and C'(-4, 6)
The scale factor is 1/2.
A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size.
Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees.
Hence, Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ7
To linear functions are shown below. Which function has a greater rate of change?
HELP PLS use the original price and markup to find the retail price. original price $68 markup 20%
Answer: $81.60
Step-by-step explanation:
When we have an original price OP, and a markup of X% (this is how much increases the price with respect to the original price)
The retail price will be:
RP = OP + (X%/100%)*OP
RP = OP*(1 + X%/100%)
In this case, we have:
Original price = OP = $68
markup = X% = 20%
Replacing these in the above equation, we get:
RP= $68*(1 + 20%/100%) = $68*(1 + 0.20)
RP = $68*(1.20) = $81.60
Then the retail price of this particular item is $81.60
A famous monument is 300 ft tall. When it casts 210-ft shadow, a nearby tree casts a shadow that is 27 ft long. About how tall is the tree?
Answer:
38.57 feets
Step-by-step explanation:
Given that:
Height of monument, h = 300ft
Shadow of monument, s = 210 ft
Shadow of tree, s = 27ft
Height of tree, = x
Using the relation :
Height / shadow = height / shadow
Monument = tree
300 / 210 = h / 27
Cross multiply
300 * 27 = 210 * h
8100 = 210h
h = 8100 / 210
h = 38.57 feets
In gym class students were asked to form nine equal groups. If there were 16 students in each group, then how many total students were there? *
plzz help me helppppp I'm almost out of time
Answer:
$6.50 per bag of popcorn
Step-by-step explanation:
let a bag of popcorn be represented by p and a candy bar be b
28p + 40b= $282
17p + 20b= $160.50
this is an example of stimatanelous equations
so you have to double the second equation to give 34p + 40b =$321
subtract the equations to give one
6p =$39
divide $39 by 6 to give the value of one bag of popcorn = $6.50
Find the slope of the line that passes through (0, -5) and (3, -4)
Answer: I believe it is 2
slope=y2-y1/x2-x1
y2-y1= (0,-3)
x2-x1= (4,5)
m=5-(-3)/4-0
m=2
Which fraction is equivalent to -3/2
Answer:
Any fraction that will reduce to -3/2 will be equivalent to -3/2.
Examples:
-6/4
-24/16
Answer:
-6/4
Step-by-step explanation:
You can just multiply them by any factor. Remeber that what you do to the bottom you do to the top.
So,
-3/2 x 2
-6/4 (this is a fraction equivalent to it.
hope this heped :)
What is the degree of this Polynomial!!!!
Answer:
4
because it is the greatest power in the polynomial
A sandwich costs $4.75 and a piece of fruit costs $1.95. If you have a $20 bill, how much change will you get?
Answer:
$13.30
Step-by-step explanation:
i hope this helps :)
Answer:
$13.3
Step-by-step explanation: your total for the sandwhich and fruit together are 6.7. 20-6.7=13.3
At a wedding reception, the caterer served fishing chicken. The fish dinner cost $12 per person in the chicken cost $9 per person. The caterer charged 2544 total for the dinner. If 232 people went to the reception, how many people had fish how many had chicken.
Answer:
80 persons haf fish and 152 persons had chicken
Step-by-step explanation:
Given data
let the number of persons that had fish be x and chicken be y
so
12x+9y=2544------------------1
x+y= 232------------------------2
from 2
x= 232-y
substitute the value of x in 1
12(232-y)+9y=2544
2784-12y+9y=2544
2784-3y=2544
3y= 2784-2544
3y=240
y= 240/3
y=80
put y= 80 in 2
x+80= 232
x= 232-80
x=152
Hence 80 persons haf fish and 152 persons had chicken
Can anybody help me please?
Answer:
Well BStep-by-step explanation:
Just make the graph and compare them. Graph B. can be seen below
Answer: Well B
Step-by-step explanation:
Calculating, the rate was found out to be
y= 2.5x
Let y1= 0, y2= 10
x1= 0, x2= 4
(y2-y1)/(x2-x1) = (y- y1)/(x- x1)
(10-0)/(4-0) = (y-0)/(x-0)
10/4 = y/x
y= (10/4)x= 2.5x
PLS HELP ME pls???!! I’m
Answer:
13.5 centimeters
Step-by-step explanation:
Solution #1:
15 * 0.9 = 13.5
Solution #2:
15 * 0.1 = 1.5
15 - 1.5 = 13.5
Willow class has been practicing typing in the computer lab she can type 23 words per minute write an equation to find the W the number of words she will be after 9 minutes then solve
Answer:
(23)(9) = 207
Step-by-step explanation:
Hope this helped
Answer: 207
Step-by-step explanation:
in 1 min she can type 23 words
1 min = 23 words
9 min = x
x = 23 * 9
=> 207
5/8 of x is 1 1/4. what is x?
Step-by-step explanation:
5/8 of x is 1 1/4
5/8 x=1 1/4
5/8 x=5/4
x=5/4×8/5=2
Everything at a store is on sale for 25% off. The regular price of a jacket is $35.00. What is the discount price?
Answer:
$26.25
Step-by-step explanation:
35(1-0.25)
= 35(0.75)
= 26.25
Question 1 (1 point)
What is the solution to the equation
below?
5 + 6x = 2x - 7
Answer:
x = negative 3
Step-by-step explanation:
i just know lol
A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?
Answer:
30 times
Step-by-step explanation
Answer:
30
Step-by-step explanation:
The volume of the rectangular prism to the left is represented by the equation V = x ^ 4 + 11x ^ 3 + 34x ^ 2 + 5x - 75 Using what you know about these shapes, whose volumes are calculated using the formula V = lwh find the expression that represents the height (h). Length = x+5, Width = x+3
Answer:
[tex]h = x^2+3x-5[/tex]
Step-by-step explanation:
Given
[tex]V = x^4 + 11x^3 + 34x^2 + 5x - 75[/tex]
[tex]L = x + 5[/tex]
[tex]W = x + 3[/tex]
Required
Determine the height (h) of the prism
Volume is calculated as:
[tex]V =lwh[/tex]
Substitute values for V, l and w
[tex]x^4 + 11x^3 + 34x^2 + 5x - 75 = (x + 5) * (x + 3) * h[/tex]
Factorize the expression on the left-hand side
[tex](x+3)(x^3+8x^2+10x-25)= (x + 5) * (x + 3) * h[/tex]
Further, factorize:
[tex](x+3)(x+5)(x^2+3x-5)= (x + 5) * (x + 3) * h[/tex]
Divide both sides by (x+3)(x+5)
[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= \frac{(x + 5) * (x + 3) * h}{(x+3)(x+5)}[/tex]
[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= h[/tex]
[tex](x^2+3x-5)= h[/tex]
[tex]x^2+3x-5= h[/tex]
[tex]h = x^2+3x-5[/tex]
The height of the prism is [tex]x^2+3x-5[/tex]
Michael practiced his harmonica 3 times as long as Timothy did. Michael practiced for 126 minutes. Write an equation that represents the relationship between the amount of time Timothy practiced x and the amount of time Michael practiced.
Answer:
126 = 3x
Step-by-step explanation
find the length of NO
find the measure of
Answer:4-2+3 Step-by-step explanation:8
PLEASE i need help
Select all of the expressions that are equivalent to: 8 x 8 x 8 x 8 x 8
8 x 8^4
8^3 x 8^2
5(2^3)
(2^3)^5
8^5
8^3 / 8^2
8^4 / 8^2
Select all the expressions that are equivalent to
6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6
6^9
216 + 6^6
216 x 6^6
6^5 + 6^4
6^7 + 6^2
6^5 x 6^4
9^6
Pls help I have no idea what the answer is
Answer:
Step-by-step explanation:
x/5=5/2
x=25/2
x=12.5
On a map of hiking trails, 0.5 inch represents 1 mile. A trail is shown as 1.25 inches long on the map. How long is the actual trạil?
Answer:
2.5 miles
Step-by-step explanation:
Answer:
The actual trail length is 2.5 miles.
Step-by-step explanation:
Let's solve this. 0.5 inches on the scale = 1 mile. Since the trailer is 1.25 inches long on the scale, let's first multiply 0.5 by 2. You would get 1 inch on the scale, which would be 2 miles.
2 miles = 1 inch on the scale. But it says 1.25, so since 0.5 inches is 1 mile, then 0.25 inches is 0.5 miles. Add 2 miles and 0.25 miles, and you will get 2.5 miles.
The trailer length is 2.5 miles.
house a and house b are very similar houses located in different parts of the city.The graph shows the value of each house for the first part of the year?
The answer is 17,000 it is simple addition. Ur name says Ur in highschool. I am in sixth grade. I just solved it. Just do me a favor and try next time.
Tori bought 5 bricks. Altogether, the bricks weighed 58.35 pounds. How much did each brick weigh?
Answer:
6433333356789
Step-by-step explanation:
Answer:
the poounds is of number
Step-by-step explanation:
welcome to branly
I WILL GIVE BRAINLIEST!!!
Complete the statement.
Greater than, equal to, or less than?
Answer:
x is smaller than 10in so x<5
Step-by-step explanation:
1) Find the slope and the y-byintercept of the line that passes through the points (1,5) and (3,9)
Answer: slope= 2, y-intercept= 3