[tex]4x^2-25[/tex] is a difference of squares with a factor 2x+5
because when we factorize [tex]4x^2-25[/tex] we get [tex](2x-5)(2x+5)[/tex]
The expression is a difference of squares with a factor of 2x + 5 [tex]$4 x^{2}-25$[/tex].
What is the Difference of squares formula?Given:
2x + 5
To find:
The expression is a difference of squares with a factor of 2x + 5.
Step 1
The difference of squares formula is given by
[tex]$(a+b)(a-b)=a^{2}-b^{2}$$[/tex]
We have been given that one factor is 2x + 5.
Hence, [tex]$\mathbf{a}=\mathbf{2 x}, \mathbf{b}=\mathbf{5}$[/tex]
Step 2
It means that the other factor must be (a - b) = (2x - 5)
Hence, in order to expression, we can multiply the factors.
(2x + 5)(2x - 5)
Step 3
Using the difference of squares formula
(2x + 5)(2x - 5)
[tex]$&=(2 x)^{2}-5^{2} \\[/tex]
[tex]$&4 x^{2}-25[/tex]
The required expression exists [tex]$4 x^{2}-25$[/tex].
Therefore, the correct answer is [tex]$4 x^{2}-25$[/tex].
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Help!!! Please????????
Answer:
idk
Step-by-step explanation:
i dont know
what’s a negative about plus a positive
Answer:
Step-by-step explanation:
when adding a negative plus a positive, count forward the amount you're adding from the negative number. Like -5+2, -5--> -4--> -3
Someone please help me. ASAP
Answer:
x = 6
Step-by-step explanation:
we both know you dont wanna know how you just want the answer
Simplify to create an equivalent expression.
2(3y + 6) -3 (-4 - y)
Step-by-step explanation:
6y+12+12+3y
=9y+24
=3(3y+8)
The student government-collected data on club membership by grade level. Data on club membership are summarized in the table shown below.
Grade Level Club Membership No Club Membership Total
9 125 250 375
10 165 155 320
11 201 101 302
12 206 69 275
Total 697 575 1272
a.no, bc P(Club Membership) not equal to P(12)
b. no, bc P(Club Membership/Grade 12) not equal to P( Club Membership)
c.yes because P(Grade 12)= P(Club Membership)
d.yes because P(Grade 12/PClub Membership) = P(Grade 12)
Answer:
d.yes because P(Grade 12/PClub Membership) = P(Grade 12)
Step-by-step explanation:
What is the value of x?
Answer:
19
Step-by-step explanation:
Subtract 10 from both sides, making the equation 2x=38. X means what your multipying the number by which means it is 38/2 which is 19.
Answer:
x=16
Step-by-step explanation:
The two angles are complementary, which means they must add to 90 degrees.
∠T+∠V=90
We know that ∠T is 2x+10, and ∠V is 48. Therefore, we can substitute thesae values in.
2x+10+48=90
Combine like terms by adding 10 and 48
2x+58=90
Now, we have to solve for x. To do this, we must get x by itself.
Firs,t subtract 58 from both sides
2x+58-58=90-58
2x=32
Divide both sides by 2
2x/2=32/2
x=16
1. Calculate the slope between the two points (2,5) and (-3,-4).
To find the slope of thine that passes through these points, use the slope formula. It can be read as “slope equals the second y-coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate.”
So we have [tex]\frac{-4 - 5}{-3 - 2}[/tex] and this simplifies to -9/-5 or 9/5.
Remember, a negative divided by a negative is a positive.
Someone please help me. ASAP
Answer:
x=2
Step-by-step explanation:
4x+6=x+12
-x -x
3x+6=12
-6 -6
3x=6
/3 /3
x=2
Answer:
x=2
Step-by-step explanation:
4x+6 = x+12
Subtract x from each side
4x-x +6 =x-x+12
3x +6 = 12
Subtract 6 from each side
3x+6-6=12-6
3x = 6
Divide each side by 3
3x/3 =6/3
x =2
HELPP MEE FASTT I HAVE LESS THAN 10 MIN
Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.
Which describes the number of months it will take to pay off the debt? Select three options.
x + 15 + 35 = 155
35 x + 15 = 155
35 x = 155 minus 15
It will take 8 months to pay off the debt.
It will take 4 months to pay off the debt.
Answer:
35x + 15 = 155
35x = 155 minus 15
it will take 4 months to pay off the debt.
Hope this helps. Mark brainliest please!
Answer:
35x + 15 = 155
35x = 155 - 15
It will take 4 months to pay off debt
Step-by-step explanation:
Its mental so idk but trust me <3
The number of gold medals won by ten countries during the 1996 Olympics are given below. Use the data to make a stem and leaf plot. (9,16,9,15,20,13,7,26,9,44)
Answer:
0| 7, 9,9,9
1| 3,5,6
2| 0,6
3|
4| 4
Notation: For this case the first number represent the first digit and the second represent the second digit.
Step-by-step explanation:
For this case we have the following dataset given:
9,16,9,15,20,13,7,26,9,44
The first step is order the data on increasing way and we got:
7,9,9,9, 13,15, 16,20,26,44
And we can create the stem plot like this:
0| 7, 9,9,9
1| 3,5,6
2| 0,6
3|
4| 4
Notation: For this case the first number represent the first digit and the second represent the second digit
Handy Dandy Grocery is having a sale this week. If you buy a 5−pound bag of apples for the regular price, you can get another bag for $1.59. If you buy a 5−pound bag of oranges for the regular price, you can get another bag for $2.59. Handy Dandy Grocery Regular price 5−pound bag of apples 2.99 5−pound bag of oranges 3.99 Part 1 out of 2 Enter an addition equation to find the discount for apples. Use a for apples. Which fruit has a greater discount?
Answer:
apples have greater discount
Step-by-step explanation:
This is a proportional relation given by;
For apples, it's;
1.59/2.99 = x/100
Where x is the amount the second bag of apples cost in relation to the first, so:
x = 1.59 * 100/2.99
x = 53.18
So,let's now find the discount of the second bag of apples from;
Discount = 100 - 49.83 = 50.17% discount
Similarly, for oranges;
2.59/3.99 = x/100
x = 2.59 * 100/3.99
x = 64.91
So,let's now find the discount of the second bag of oranges from;
Discount = 100 - 64.91 = 35.09%
Since apples have discount of 50.17% and oranges have discount of 35.09%, thus apples have greater discount
Complete 8 for 15 points.
Answer:
756 is evenly divisible by 2, 3, 4, 6, and 9.
Step-by-step explanation:
756 is evenly distributed by the numbers (above).
756/2 = 378756/3 = 252756/4 = 189756/5 = 151.2 756/6 = 126756/8 = 94.5756/9 = 84 756/10 = 75.6 756/25 = 30.24Solve for the value of p.
2 x p = 34
Answer:
p = 34/2
p= 17
thank you.
Find the area of the kite
Answer:
32m2
Step-by-step explanation:
find one triangle.
A=1/2×base×height
1/2×8×3= 12m2
1/2×8×5= 20m,2
12+20=32m2
What two whole number integers would the square root fall in between ?
√(44)
4 and 5
6 and 7
5 and 6
8 and 9
Answer:
It would fall between 6 and 7
Step-by-step explanation:
A card is picked at random from the following set. What is P(9) ? Write your answer as a percentage in the box given below.
Answer:
25%
Step-by-step explanation:
The (not mentioned in the question) set is: 6 7 8 9.
There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:
P(9) = favorable outcome/total outcomes
P(9) = 1/4 = 0.25 or 0.25*100 = 25%
The permiter of a square with 12 inches and 2 semicircles are ...
The area of a square that is 12 inches and 2 semicircles are...
Answer:
12,14 .........................
The product of a number, x , and 18 113.4. Which equation and value of x represent this relationship
Answer:
The answer is..
18 = x (113.4)
x = 95.4
Step-by-step explanation:
The equation 18x = 113.4 represents the sentence " the product of a number, x, and 18 113.4." and the solution of the equation is the value of variable x is 6.29.
What is Algebra?Algebra is the estimation of mathematical representations, while logic is the manipulation of those symbols.
The given statement is "the product of a number, x, and 18 is 113.4"
According to the given question, translate the phrase into an algebraic form :
This relationship can be represented by the equation 18x = 113.4.
To find the value of x, we can solve this equation by dividing both sides by 18, which gives us x = 113.4/18 = 6.29.
Thus, the required equation is 18x = 113.4
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Which statements are true? Select three options. ∠F corresponds to ∠F'. Segment EE' is parallel to segment FF'. The distance from point D' to the origin is the distance of point D to the origin. The measure of ∠E' is the measure of ∠E. △DEF △
Answer:
Triangle DEF was dilated according to the rule DO,One-third(x,y)(one-third x, one-third y) to create similar triangle D'E'F'.
On a coordinate plane, (0, 0) is the center of dilation. Triangle F D E is dilated to create smaller triangle F prime D prime E prime. Triangle F D E has points (negative 9, 3), (negative 9, 9), (negative 6, 6). Triangle F prime D prime E prime has points (negative 3, 1), (negative 3, 3), and (negative 2, 2).
Which statements are true? Select three options.
right answer ∠F corresponds to ∠F'.
wrong answer Segment EE' is parallel to segment FF'.
right answer The distance from point D' to the origin is One-third the distance of point D to the origin.
wrong answer The measure of ∠E' is One-third the measure of ∠E.
right answer△DEF △D'E'F'
Step-by-step explanation:
Answer:
A, C, E
Step-by-step explanation:
EDU
£ represents 29 students in class
B represents students who have a brother
S represents students who have a sister
a) One student from the class is chosen at random. What is the probability that the student has a sister?
b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?
Answer:
a) One student from the class is chosen at random. What is the probability that the student has a sister?
S/£
b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?
BS/£²
Step-by-step explanation:
In the question, we are given the following values:
£ represents 29 students in class = Total number of students in the class.
B represents students who have a brother
S represents students who have a sister
The formula for probability = Number of events ÷ Number of possible outcomes.
a) One student from the class is chosen at random. What is the probability that the student has a sister?
Number of events = Number of students that have a sister = S
Number of possible outcomes = £ represents 29 students in class
The probability that the student has a sister = S/£
b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?
This is calculated as
The Probability of Students that have a brother and a sister = Probability of students that have a brother × Probability of student that have a sister.
Number of students that have a brother = B
Number of students that have a sister = S
The Probability of Students that have a brother and a sister = B/£ × S/£
= BS/£²
Answer:
a) 14/29
b) 4/11
Step-by-step explanation:
You forgot to add the Venn diagram
7+4+2x+X+3 =29
14 +3x= 29
3x = 15
X = 5
2*5=10
10+4=14
5+3=8
14/29
I hope this helps you :D
Have a good day
Find The Solution(s) to (x+3)square=49. check all the apply
Answer:
-10, 4
Step-by-step explanation:
(x+3)^2=49
Take the square root of each side
sqrt((x+3)^2)=±sqrt(49)
x+3 = ±7
Subtract 3 from each side
x+3-3 = ±7 -3
x = ±7 -3
x = 7-3 =4
and
x = -7-3 = -10
.
At 94°F, a certain insect chirps at a rate of 60 times per minute, and at 96°F, they chirp 66 times per minute. Write an equation in slope-intercept form that represents the situation.
Answer:
[tex] (x_1 = 94 , y_1 = 60)[/tex]
[tex] (x_2 =96 ,y_2 = 66)[/tex]
And we can estimate the slope with the following formula:
[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]
And we can find the intercept using the first point given for example:
[tex] 60 = 3*94 +b[/tex]
And solving for b we got:
[tex] b = 60 -282 = -222[/tex]
And the model would be given by:
[tex] y = 3x -222[/tex]
Step-by-step explanation:
For this case we can assume that the interest is find an equation for the times per minute with the temperature. So then the independent variable (x) would be the temperature and the dependent (y) the times per minute. We want to adjust a linera model like this one:
[tex] y = mx +b[/tex]
We have the following info given:
[tex] (x_1 = 94 , y_1 = 60)[/tex]
[tex] (x_2 =96 ,y_2 = 66)[/tex]
And we can estimate the slope with the following formula:
[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]
And we can find the intercept using the first point given for example:
[tex] 60 = 3*94 +b[/tex]
And solving for b we got:
[tex] b = 60 -282 = -222[/tex]
And the model would be given by:
[tex] y = 3x -222[/tex]
Answer:
Step-by-step explanation:
Let " x " denotes the temperature in degree Fahrenheit .
Let " y " denotes the chirp rate per minute .
We have given that at 94 degree Fahrenheit , chirp rate is 64 times per minute and at 96 degree Fahrenheit , it is 118 times per minute .
We write this information in coordinate form ( x,y) .
We have ( x₁ ,y₁) = ( 94 , 60 ) and ( x₂ , y₂) = ( 96,66) .
y₂ - y ₁ 66 - 60 6
Slope , m = ---------------------- = --------------------- = -----------
x₂ - x₁ 96 - 94 2
Slope , m = 6/2 = 3 .
Equation of line in slope intercept form is
y = m x + b where ' m' is slope and ' b ' is intercept .
Plug value of m , we get
y = 3 x + b .
To find value of b , we put ( 94 , 60 ) in place of x and y .
Put x = 94 and y = 60 , we get
60 = 3 * 94 + b
60 = 282 + b
60 - 282 = b
- 222 = b
Thus we get b = - 222 .
So the equation become
y = 3 x - 222 .
Equation in slope intercept form representing the situation isy = 3 x - 222Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Please Help!!!
Answer:
C=62 maybe
Step-by-step explanation:
3x=x+20
-x -x
2x=20
divide by 2
x=10
2*10=20+38=58
10+20=30
3*10=30
30+30=60+58=118
180-118=62
What is the approximate area of the shaded sector in the circle shown below?
A. 31.7 cm^2
B. 5.76cm^2
C. 2.88cm^2
D. 126.7cm^2
Answer:it’s 31.7 cm^2
Step-by-step explanation:
The approximate area of the shaded sector is 31.7 cm² (Option A).
To find the area of the shaded sector, we need to calculate the fraction of the entire circle that the sector represents and then multiply it by the area of the whole circle.
The formula to find the area of a sector is given by:
Area of sector = (θ/360) * π * r²
where θ is the central angle and r is the radius of the circle.
In this case, the radius (r) of the circle is given as 11 cm, and the central angle (θ) is given as 30 degrees.
Let's calculate the area of the shaded sector:
θ = 30 degrees
r = 11 cm
Area of sector = (30/360) * π * 11²
= (1/12) * π * 121
= π * 10.0833...
Now, we can approximate the value of π as 3.14:
Area of sector ≈ 3.14 * 10.0833...
≈ 31.7 cm²
Therefore, the approximate area of the shaded sector is 31.7 cm².
The correct option from the given choices is A. 31.7 cm².
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Anja collected data about the number of dogs 9th-grade students own. She created this histogram to represent the data and determined that it is skewed right. Which statement is true about Anja’s claim? She is incorrect; the histogram is skewed to the left because more data is on the left side. She is incorrect; the histogram is skewed to the left because there is more data on the right side. She is incorrect; the histogram is symmetrical because the right side is equal to the left side. She is correct; the histogram is skewed to the right because there is less data on the right side.
Answer:
D. She is correct; the histogram is skewed to the right because there is less data on the right side.
Step-by-step explanation:
I just did it on edge
Option D is correct. She is correct; the histogram is skewed to the right because there is fewer data on the right side.
How can you spot a skewed graph?
A skewed distribution is one in which one of the two sides is biased (either left or right). It's like a mountain tilting to one side (left or right).
Like the picture, a left skewed graph has an extended tail on the left side of the main peak. A right skewed graph features an extended tail on the right side of the main peak.
She is correct; the histogram is skewed to the right because there is fewer data on the right side.
Hence, option D is correct.
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Judith went shopping with $50 and spend $45. What percentage of her money did she spend?
Answer:
90%
Step-by-step explanation:
The percentage that she spent is the money spent over the total
45/50 *2/2
90/100
Percent means out of 100
90%
Answer:
She spent 90% of her money.
pls help me figure this out thanks
Answer:
7√3
Step-by-step explanation:
tan 60 = v/7
√3 = v/7
v=7√3
Answer:
[tex]4 \sqrt{5 \\ } [/tex]
Pls help me out with this stupid question
Answer:
138.248cm²
Step-by-step explanation:
Surface area=2πrh + 2πr²
Surface area=2x3.142x2x9+ 2x3.142x2²
Surface area=113.112+25.136
Surface area=138.248cm²
Answer:
Answer:
138.248cm²
Step-by-step explanation:
Surface area=2πrh + 2πr²
Surface area=2x3.142x2x9+ 2x3.142x2²
Surface area=113.112+25.136
Surface area=138.248cm²
"credit goes to unknown76th"
Step-by-step explanation:
A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters?
Answer:
1200 millimeters
Step-by-step explanation:
How much is House A worth after two years? Round your answer to the nearest dollar.
How much is House B worth after two years? Round your answer to the nearest dollar.
Answer:
see below
Step-by-step explanation:
Take the original value times the appreciation and add the original value
Do this for each year
House A
year 1:
new value = 125260+ 125260* .05
=125260 +6263
=131523
year 2:
new value = 131523+131523* .05
131523+6576.15
138099.15
Nearest dollar 138099
House B
year 1:
new value = 120160+ 120160* .06
=120160 +7209.60
=127369.6
year 2:
new value = 127369.60+127369.6* .05
127369.60+7642.18
135011.78
Nearest dollar 135012
Answer:
A: $138,099
B: $135,012
Step-by-step explanation:
A: growth rate: (100+5)/100 = 1.05
125260 × 1.05² = 138,099.15
B: growth rate: (100+6)/100 = 1.06
120160 × 1.06² = 135,011.776
