Answer:
(5x – 3)(x - 3)
Step-by-step explanation:
Break the expression into groups
[tex]=\left(5x^2-3x\right)+\left(-15x+9\right)[/tex]
Factor out
[tex]=x\left(5x-3\right)-3\left(5x-3\right)[/tex]
Factor out common terms
[tex]=\left(5x-3\right)\left(x-3\right)[/tex]
Hence, Answer is (5x-3)(x-3)
~Lenvy~
The expression which is equivalent to 5x² - 18x + 9 is (5x – 3)(x - 3).
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
5x² - 18x + 9
We have to find the equivalent expression of this.
We have to factor this.
Using quadratic formula,
x = -(-18) ± √[(-18)² - (4 × 5 × 9)] / (2 × 5)
= (18 ± √144) / 10
= (18 ± 12) / 10
x = 3 and x = 3/5
So the expression can be factored as
(x - 3)(x - 3/5) = 0
(x - 3)(5x - 3) = 0
Hence the correct option is (5x – 3)(x - 3).
Learn more about Equivalent Expressions here :
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A pair of flip flops cost $30. How much will they cost after a 20% discount and 6.5% tax?
Answer: 22.44$
Step-by-step explanation:
1. 30 x 0.20 = 6
2. 30 - 6 = 24
3. 24 x 0.065 = 1.56
24 - 1.56 = 22.44$
8. Rita looks at the floor plan of a room that was drawn with scale factor 1 inch equals 4 feet. She multiplied the perimeter of the drawing by four and ordered that many feet of molding. She multiplied the area of the drawing by four and ordered that many square feet of carpeting. When the orders arrived, Rita had enough molding, but the carpet covered only of the room. Explain the error.
oshua wants to buy a flat-screen TV that costs $625. He saves $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?
Answer:
ten weeks
Step-by-step explanation:
62.50 multiped by 10 moves the decimal over 1 to the right which makes it 625 :)
Answer for brainliest
25 X 1 =
;)
The answer is 25
25x1 is 25
anything multiplied by 1 Is itself
The area enclosed by the graphs of y = 1/x, y = 1, and x = 3 is rotated about the line y = -1. Find the volume and show steps.
Answer:
9.852
Step-by-step explanation:
First, Graph all three functions and find where they intersect and the shape that they make through their intersection. Note that since the shape does not touch the y= -1 line, we will use the "washer" method (where the volume equals [tex]\pi\int\limits^a_b {R(x)\x^{2} - r(x)^{2} } \, dx[/tex].
The next step is to find a and b. Since the function that the area is going to be rotated about is a " y =" equations, the boundaries will be the x coordinates where the three functions intersect, b=1 for (1,1) and a=3 for (3,1).
Next we have to find R(x) and r(x). In this case, R(x) is the difference between the function furthest away from the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top), and r(x) is the difference between the function closest to the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top.
For this problem R(x) = 1 - (-1) and r(x) = 1/x - (-1) since when you look at the graph, Y = 1 is further from y = -1 than y = 1/x is, and both functions are on top of y = -1.
Finally plug in R(x) and r(x) and solve either using a calculator or through integration. If you solve through integration you should get [tex]\pi (-2ln(3) + \frac{16}{3} )[/tex].
pls solve this ,urgent no spam
Answer:
Question 3
Given expression:
[tex]\sf \left(\dfrac{-8}{9} \times \dfrac{1}{-5}\right)+\left(\dfrac{-8}{9} \times \dfrac{-7}{11}\right)[/tex]
Both parentheses share a common term.
To factor out a common term: ab + ac = a(b + c)
[tex]\textsf{Factor out the common term }\dfrac{-8}{9}[/tex]
[tex]\sf \implies\dfrac{-8}{9} \times \left(\dfrac{1}{-5}+\dfrac{-7}{11}\right)[/tex]
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Question 4
To calculate the amount of money Rajni had to begin with, sum the three amounts she spent:
[tex]\sf \implies total=10\frac14+25\frac34+16\frac12[/tex]
As [tex]\sf a\frac{b}{c}=a+\frac{b}{c}[/tex], then:
[tex]\sf \implies 10+\frac14+25+\frac34+16+\frac12[/tex]
Collect and sum the whole numbers:
[tex]\sf \implies (10+25+16)+\frac14+\frac34+\frac12[/tex]
[tex]\sf \implies 51+\frac14+\frac34+\frac12[/tex]
As [tex]\sf \frac14+\frac34=\frac44=1[/tex], then
[tex]\sf \implies 51+1+\frac12[/tex]
[tex]\sf \implies 52+\frac12[/tex]
[tex]\sf \implies 52\frac12[/tex]
3 friends share 6 pounds of grapes equally. Each pound has 40 grapes.
How many grapes does each friend get?
A.
20 grapes
B.
60 grapes
C.
80 grapes
D.
90 grapes
Answer:
C. 80 grapes
Step-by-step explanation:
6 / 3 = 2
Each person gets 2 pounds of grapes.
2 X 40 = 80
1 pound = 40 grapes
2 pound = 80 grapes
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]- 10(2) + y = 4[/tex]
[tex] - 20 + y = 4[/tex]
[tex]y = 24[/tex]
For x=1[tex] - 10( 1) + y = 4[/tex]
[tex] - 10 + y = 4[/tex]
[tex]y = 14[/tex]
For x=0[tex] - 10(0) + y = 4[/tex]
[tex]0 + y = 4[/tex]
[tex]y = 4[/tex]
For x=-1[tex] - 10( - 1) + y = 4[/tex]
[tex]10 + y = 4[/tex]
[tex]y = - 6[/tex]
For x=2[tex] - 10( - 2) + y = 4[/tex]
[tex]20 + y = 4[/tex]
[tex]y = - 16[/tex]
Answer:
-2 = -16
-1 = -6
0 = 4
1 = 6
2 = 16
Step-by-step explanation:
a dentist's office and parking lot are on a rectangular piece of land. The area (in square meters) of the land is represented by x^2 + x = 30
a. write a binomial that represents the width of the land
b. find the area of the land when the length of the dentists' office is 20 meters
hi! i need help finding the area of this shape! thank you
Answer: 7.5
Step-by-step explanation:
5x3 = 15 A = 1 half L x H
A = (3)(5)
A = 15
A = 15 x 1 half = 7.5
correct me if i am wrong.
HURRYYYYY 100 POINTS The movie theater has 25 1/2 cups of popcorn. There are 15 people who ordered popcorn. Each person who ordered popcorn will receive the same amount. How much popcorn will each person get?
Answer:
1.7
Step-by-step explanation:
25.5 divided by 15
2x-7/2 = x+3/3 please help me
Answer:
x=4.5
Step-by-step explanation:
2x− 7/2 =x+1
2x− 7/2- x=1
x-7/2=1
x= 1+7/2
x=2/2+7/2
x= 2+7 is numerator and 2 is the denominator
x= 9/2
9/2 = 4.5
Simplify.
Write without exponents.
Answer:
First one: 27
Second one: 1/8
Step-by-step explanation:
Hope this helps! :)
(150 Points If Ur right.) Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side RS. (ROUND PLEASE.)
Answer: 39.7
Step-by-step explanation:18/55 = 13/x you can get x by solving for it.
Find the surface area of the cube.
[tex]\rightarrow[/tex] Side(a) of the cube = [tex]\sf{\frac{1}{3}ft}[/tex].
To Find:-[tex]\rightarrow[/tex] Surface Area of the cube with side [tex]\sf{\frac{1}{3}ft.}[/tex]
Formula Used:-[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex]
Solution:-[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex] (putting the value of a from the above given)
[tex]\rightarrow[/tex] [tex]\sf{=\:6×(\frac{1}{3})^2}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\:6×\frac{1}{9}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{6}{9}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]
Therefore, surface area of the given square = [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]
__________________________________
Hope it helps you:)
Answer:
Step-by-step explanation:
there are 6 square faces of a cube.
if side=x
surface area=6x²
=6(1/3)²
=6/9
=2/3 square foot
If 12%of X is 306, what is X equivalent to?
Answer:
X = 2550
Step-by-step explanation:
Convert 12% to a decimal:
⇒ 12% = 12/100 = 0.12
12% of X is 306
⇒ 0.12X = 306
⇒ X = 306 ÷ 0.12
⇒ X = 2550
Answer:
2550
Step-by-step explanation:
Given expression: 12% of x is 306
We can make the following points of the expression:
1. The word "of" means multiplication (×).
⇒ 12% × x is 3062. The percent is always divided by 100 in fraction.
⇒ 12/100 × x is 3063. The word "is" means equal or equivalent.
⇒ 12/100 × x = 306Now, let's simplify the expression.
⇒ 12x/100 = 306
⇒ 12x = 306 × 100
⇒ 12x/12 = 306 × 100/12
⇒ x = 51 × 50 = 2550
Describe how
(2^3)(2^-4)
can be simplified.
Answer:
Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Step-by-step explanation:
your welcome
Jake is tiling his bathroom floor. He uses three green tiles for every white tile. Jake uses twenty four tiles in total. How many of them are green?
Answer: I think the answer is 18
A student buys batteries online. The batteries are sold in boxes of 24. Each order has a $5.00 shipping cost regardless of the number of batteries. The table shows the total cost for an order of different numbers of batteries. What is the total cost of an order of 144 batteries?
Answer:
You didnt give the chart so there for I can not give you a good answer
Step-by-step explanation:
Draw a pair of perpendicular lines
Answer:
+
perpendicular lines are lines that meet at a 90 degree angle
Step-by-step explanation:
What is the range? 6 7 8 7 10
Step-by-step explanation:
Range -6
Range is a higherd number
10-4=6
f(x)=−2x+3; Domain: {−1,0,2}
Find the range of the function for the given domain.
Answer:
Range: 1,3,7
Step-by-step explanation:
(-1,1),(0,3),(2,7)
2(-1)+3
2(0)+3
2(2)+3
Are these two triangles congruent?
A) SSS
B) SAS
C) Not Congruent
D) Other
I’ve tried different answers. Can someone please tell me what I’m missing? Thanks in advance.
Answer:
The angles are not congruent
Step-by-step explanation:
This is because the two triangles show angle angle angle and that does not prove triangle congruency.
Name:
24. Jason wants to walk the shortest distance to get from the parking lot to the beach.
Refreshment
Stand
40 m
Beach
30 m
Parking
Lot
Answer:
Beach parking lot is the right answer.
Step-by-step explanation:
the beach parking is near the beach refreshment stand.
pls mark branliest.
Jessica bought a $30 outfit for $17. What percent discount did she receive?
Around 57%
Step-by-step explanation:17 / 30 = .56666666...
Move two decimal places to the left;
56.66666...
Estimate: 57%
Answer:
43.33%
Step-by-step explanation:
30 - 17 = $13
% discount = 13*100 / 30
= 43.33%
250 lottery tickets were sold and there are 5 prizes on these ticket if Kunal has purchased one lottery ticket what is the probability that he wins a prize
Total number of tickets sold = 250
Number of prizes = 5
Number of favorable outcomes = 5
[tex]P(A)= \frac{no. of possible outcomes}{No. of total outcomes} [/tex]
[tex]P (getting \: a \: prize) = \frac{5}{250} =\frac{1}{150}[/tex]
Ali wants to surprise his wife Sara by presenting her some flowers, when he returns back from a work tour. He plans to spend exactly $24 on a bunch of exactly two dozen flowers. Sara loves lilies, roses and daisies. At the flower market they are selling lilies for $3 each, roses for $2 each, and daisies $0.50 each. How many flowers of each type can Ali buy?
Answer:
he can buy 8 of lilies and 12 of rose and 48 of daisies
Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
Suppose Ali buys x flowers of lilies, y flowers of roses, and z flowers of daisies.
According to the question
x+y+z = 24......(1)
3x+2y+0.5z = 24.......(2)
Here, we have three variables but only two equations.
2(2)-(1) gives, 5x+3y = 24......(3)
Since, x, y and z can take only integer values.
What are integers?Numbers that are not fractions called integers.
So, from (3) only x=3 and y=3 is possible
So, z= 24-x-y
z=24-3-3 = 18
So, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
Therefore, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
To get more about linear equations visit:
https://brainly.com/question/14323743
What the value of q?
Step-by-step explanation:
again ?
out of the total of 70°, 30° are taken by the first angle.
so, that leaves 70 - 30 = 40° for the second angle.
q = 40°
is there still something unclear about this ? please let me know.
To determine whether or not they have a certain disease, 80 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 10. The blood samples of the 10 people in each group will be pooled and analyzed together. If the test is negative. one test will suffice for the 10 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the disease); whereas, if the test is positive each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.
Assume the probability that a person has the disease is 0.09 for all people, independently of each other.
Compute the expected number of tests necessary for each group.
Expected number for each group:
1. Whats the answer for this X + 2x + 8 = X = 10 + 6
2. Whats the answer for this X + 3 + 2x = X + 10 + 3
3. Whats the answer for this 5x + 2 = 2x + 10 + 4
4. Whats the answer for this 2x + X + 4 = 4x + 1
Answer:
The first one is 11x=16, the second one is 4x=16, and the next one is 7x=12, and the last one is 3=1x hope this helps
Step-by-step explanation: