Answer:
[tex] {(x - 3)}^{2} + 4(x - 3) \\ = (x - 3)((x - 3) + 4) \\ (x - 3)(x - 3+ 4) \\ = (x - 3)(x + 1)[/tex]
(x - 3) is common factor
Imagine you are multiplying or dividing each term by the common factor
[tex] {(x - 3)}^{2} + 4(x - 3) \\ \frac{{(x - 3)}^{2}}{(x - 3)}+(x-3)4\frac{(x - 3)}{(x - 3)}\\(x-3)((x-3)+4)[/tex]
multiply ( 2 4/5 ) x ( -5 2/3 )
( -10 8/15 )
( -15 13/15 )
( 10 8/15 )
( 15 13/15 )
Answer:
Step-by-step explanation:
First turn the mixed fractions into improper fractions
--> ([tex]\frac{2*5+4}{5}[/tex]) × ([tex]\frac{-5*5+4}{3}[/tex])
[tex]\frac{14}{5}[/tex]×[tex]\frac{-17}{3}[/tex]
Then multiply. the answer becomes −15 13/15
Find the value of X, rounded to the nearest tenth.
A. 31.8
B. 31.4
C. 10.3
D. 10.7
Answer:
31.4
Step-by-step explanation:
x=18/sin35
x= 31.38
=31.4(nearest tenth )
why there is 60 minutes in a hour ?
▪︎no need spams
▪︎ans should be well explained
▪︎if u don't know pls don't ans
Answer:
Time is not measured in metric units. By the way - The metric system dates back to the late 18th century. Thousands of years after people measured time in multiples of 60.
What is the value of each number in 8,236,014,597?
Answer:
8= 8 Billion,2 = 2 Hundred Million, 3 = 30 Million , 6 = 6 Million , 0 =Hundred Thousands , 1 = 10 Thousand , 4 = 4 Thousand , 5 = 5 Hundreds , 9= 9 Tens, and 7 = 7 Ones
Step-by-step explanation:
Write an equation of the parabola in vertex form. (-2, 6) (-1, 3)
An equation of the parabola is y=
The equation of the parabola is y = -3(x + 2)^2 + 6
How to determine the parabola equation?From the graph, we have:
Vertex, (h,k) = (-2,6)Point (x,y) = (-1,3)A parabola is represented as:
y = a(x - h)^2 + k
Substitute (h,k) = (-2,6)
y = a(x + 2)^2 + 6
Substitute (x,y) = (-1,3)
3 = a(-1 + 2)^2 + 6
Evaluate
3 = a + 6
Subtract 6 from both sides
a = -3
Substitute a = -3 in y = a(x + 2)^2 + 6
y = -3(x + 2)^2 + 6
Hence, the equation of the parabola is y = -3(x + 2)^2 + 6
Read more about parabola at:
https://brainly.com/question/1480401
#SPJ1
The function f(x)=x−−√ is reflected over the x-axis, translated 4 units down and 5 units to the left, then vertically stretched by a factor of 3. Which equation best represents the new function created?
Answer:
U dry aint put a answer
Step-by-step explanation:
Transformation involves changing the position of a function.
The equation of the new function is: [tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]
The function is given as:
[tex]\mathbf{f(x) = \sqrt x}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{f'(x) = -\sqrt x}[/tex]
The rule of translation, 4 units down and 5 units left is:
[tex]\mathbf{(x,y) \to ( x + 5,y-4)}[/tex]
So, we have:
[tex]\mathbf{f"(x) = -\sqrt{x + 5} - 4}[/tex]
The rule of vertical stretch by a factor of # is:
[tex]\mathbf{(x,y) \to (x,3y)}[/tex]
So, we have:
[tex]\mathbf{g(x) = 3(-\sqrt{x + 5} - 4)}[/tex]
[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]
Hence, the equation of the new function is:
[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]
Read more about transformation at:
https://brainly.com/question/13801312
True or False
a = 6 is a solution to the inequality below:
a/2 < 4
( The < is underlined)
A Spanish teacher informed her class that she would be giving 4 quizzes each month. Write an equation that shows the relationship between the number of months elapsed, x, and the total number of quizzes, y.
Answer:
y = 4x
Step-by-step explanation:
Since there are going to be four quizzes a month (x), we know that we will multiply the number of months (x) by the number of quizzes (4). However, because we don't know how many months there are, we can define the months as (x), and instead put the total (y) is equal to the number of quizzes per month (4), multiplied by the number of months (x). Out final result is
(y = 4x)
a plane is a BLANK figure. The intersection of two planes that do not coincide (if it exists) is a BLANK.
Answer: blanck
Step-by-step explanation:
A robot begins at point A travels 4 meters west, then turns and travels 7 meters south, reaching point B. What is the approximate straight-line distance between points A and B
Answer:
Approximately 8 meters
Step-by-step explana
OK SO this is my report card, not my final. I have 2 more coming out so all three add up to my final. how much would i need in my classes to have an average of 90 smt for my FINAL report card?? pls send help
Answer:
Step-by-step explanation:
70% or more 70% is most likely a b-
Two numbers multiply to be -7 and add to be 6. What are the numbers?
Answer:
-1 and 7
Step-by-step explanation:
-1 x 7 = -7
-1 + 7 = 6
Both outcomes are true with these two numbers.
How many groups of 24 can we make with 324 foil beads?
Answer:
13.5
Step-by-step explanation:
324/24=13.5
Can anyone please help me with this?
Answer:
m∠QPT = 110°
Step-by-step explanation:
1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.
This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.2. (Solving)
Step 1: Combine like terms.
[tex]6x + 20 = (x+4x)+(40-5)[/tex] [tex]6x + 20 = 5x + 35[/tex]Step 2: Subtract 20 from both sides.
[tex]6x + 20 - 20 = 5x + 35 - 20[/tex] [tex]6x = 5x +15[/tex]Step 3: Subtract 5x from both sides.
[tex]6x - 5x = 5x +15 - 5x[/tex] [tex]x = 15[/tex]Step 4: Check if solution is correct.
[tex]6(15)+20=(15)+40+4(15)-5[/tex] [tex]90 + 20 = 15 + 40 + 60 - 5[/tex] [tex]110 = 55 + 60 - 5[/tex] [tex]110 = 115 - 5[/tex] [tex]110 = 110[/tex]3. Now, let's plug in 15 for 6x + 20:
[tex]6(15)+20[/tex] [tex]90+20[/tex] [tex]110[/tex]Therefore, m∠QPT = 110°.
G.
G
7 cm
8 cm
-
Find volume
Step-by-step explanation:
The volume = [tex](\frac{22}{7} )(7^{2} )(8)[/tex]
= 1232
please give me a brainliest answer
ORDER THE NUMBERS FROM GREATEST TO LEAST.
1. 7 ⁶/¹¹ , –7.6 , 7.34 (3&4 repeating), 7 ⁴/⁵
2. –10 ¹/⁵ , 10.19 , –10 ²/¹¹ , –10.20 (20 repeating)
Answer:
1) 7 4/5, 7 6/11, 7.34, -7.6
2) 10.19, -10 2/11, -10 1/5, -10.202020
Step-by-step explanation:
1) 7 4/5, 7 6/11, 7.34, -7.6
2) 10.19, -10 2/11, -10 1/5, -10.202020
The number of women elected to the us house of representatives has increased nearly every congress since 1985 in ths 99th Congress to beginning in 1985 there were 22 female representatives in the 109th Congress beginning in 2005 there were 68 female representatives write a linear eauation that models the number of female members lf the house of representatives x years after 1985
Answer:
y = 2 · 3 x + 22
Step-by-step explanation:
Analysis: Number of female representatives in 1985 = 22
This can be represented by the point (0,22).
Number of representatives in 2005 = 68.
This can be represented by the point (2205-1985,68)
= (20,68)
Slope of the line : [tex]\frac{68-22}{20-0} =\frac{46}{20} =\frac{23}{10} =[/tex] 2 · 3
∴ Equation of the line : y = mx + c
⇒ 22 = 2 · 3 (0) + c
⇒ C = 22
∴ y = 2 · 3 x + 22
What is the decimal equivalent of 2
- ?
3
Answer:
.666
Step-by-step explanation:
Factor Completely. (and please show work)
4x^2 - 8x +3
Step-by-step explanation:
=>4x²-8x+3
=> 4x²-2x-6x+3
=> 2x(2x-1)-3(2x-1)
=>(2x-1)(2x-3).
hope this helps you.
Please do 17-20! No work needed, please do fast this is due soon! Thank you!!
*What you should know*
Point slope form,
y-y1=m(x-x1)
Parallel lines have the same slope.
1. Points (4,2)
y=2
x=4
m=-3/4
substitute this information into the point-slope form formula,
》y-2=-3/4(x-4)
2.
y=-3
x=-3
m=7/3
》y-(-3)=7/3(x-(-3))
3.(-4,0)
y=0
x=4
m=3/4
》y-0=3/4(x-4)
4. (-1,4)
y=4
x=-1
m=-5
》y-4=-5(x-(-1))
brianlist me?
Jane bought a shirt for $27, a skirt for $32, and a pair of shorts for $14. Choose the answer that is the best estimate for the total cost of these items.
Answer:
70
The answer is 70
Please help meh i dont know the answer
Answer:
3 inches
Step-by-step explanation: An equilateral triangle means all 3 sides are the same length.
A square also have the same length for all 4 sides.
So each side of the square is 6cm, to find the perimeter you do 6*4=24.
then divide the square's perimeter by 3 since triangle have 3 sides. 24/3=8
so each side of the triangle will be 8cm
I need help with my math, please?
Answer:
Step-by-step explanation:
Consider the two linear expressions.
−(−12−6x−3) and 3.5−6x
Are the two linear expressions equivalent?
Drag a word or phrase to the box to correctly complete the statement.
Answer:
Your answer is not equivalent :D
Answer: Not Equivelant
Step-by-step explanation: K12 test
3. Write the explicit definition for the sequence given
Answer: You did not give a sequence so I cannot help you.
Step-by-step explanation: try to copy and paste the entire sequence.
9×8 break up into expressions
What is the ‘angle’ZQPT?
GIVING BRAINLIEST PLS FAST
Answer: is not a full square
Step-by-step explanation:
Just look at the degree ; if it were a multiple of two , then the number would be a full square ; but as we see , 9 is not a multiple of two , from which it is not a full square
8 in
10 in
This is what we have to do some hlep
Answer:
12 in
Step-by-step explanation:
This is a answer can get better and than you do as long before I go home.
What is 0.00000008 in scientific notation?
Answer:
The answer to this question is 8×10−8. I hope this helps you! :D
Answer:
8*10^-8
[tex]ie.8 \times {10}^{ - 8} [/tex]