Answer:
9x2 – 25 = (3x – 5)(3x + 5)
Step-by-step explanation:
(3x – 5)(3x + 5)
= 9x² + 15x - 15x - 25
= 9x² - 25
Final answer:
The correct equation is 9x² – 25 = (3x – 5)(3x + 5), as it is the factored form of the difference of squares, where 9x² is the square of 3x and 25 is the square of 5.
Explanation:
The equation we are considering is 9x² – 25. We need to determine which of the provided options is a true equality. The equation 9x² – 25 is a difference of squares, which factors as (a² – b²) = (a – b)(a + b). In this case, a is 3x and b is 5 because (3x)² = 9x² and 5² = 25.
Thus, the factored form of the equation 9x² – 25 is (3x – 5)(3x + 5). So, the correct equation from the given options is 9x² – 25 = (3x – 5)(3x + 5).
Which prism has a volume of 5 cubic units?
1 and one-half units by 3 units by 1 unit
2 units by 2 units by 1 and one-half-units
1 and one-fourth units by 4 units by 1 unit
2 units by 1 unit by 2 units
Answer:
Step-by-step explanation:
5=1 1/4*4*1=1.25*4*1
so 1 and one fourth units by 4 units by 1 unit
The prism has a volume of 5 cubic unit is option (C) [tex]1\frac{1}{4}[/tex] unit, 4 unit and 1 unit
What is Volume?Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface
What is Prism?A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.
Here,
Volume of prism = l × w × h
Option 1
Volume = [tex](1\frac{1}{2})(3)(1) =\frac{9}{2}[/tex] cubic units
Option 2
Volume = [tex](2)(2)(1\frac{1}{2})=6[/tex] cubic units
Option 3
Volume = [tex](1\frac{1}{4})(4)(1)=5[/tex] cubic units
Option 4
Volume = [tex](2)(1)(2)=4[/tex] cubic units
Hence, The prism has a volume of 5 cubic unit is option (C) [tex]1\frac{1}{4}[/tex] unit, 4 unit and 1 unit
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Solve for u:
-10.74=u-(−11)
Answer:
u= 0.26
Step-by-step explanation:
Answer:
-21.74Step-by-step explanation:
Solve for u by simplifying both sides of the equation, then isolating the variable.
which table represents a function? Help plz
Answer:
Top left box
Step-by-step explanation:
In a function the values cannot repeat
The student council spent $187.55 for their dance. Advance tickets brought in $202.75, and door sales totaled $116. About how much profit did the student council realize?
A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. Which compares the modes of the data? The mode for the students is 2 and the mode for the teachers is 4. The mode for the students is 0 and the mode for the teachers is 1. The mode for the students is 4 and the mode for the teachers is 8. The mode for the students is 2 and the mode for the teachers is 1.
The correct option is The mode for the students is 2 and the mode for the teachers is 4.
To determine the mode of a data set, one must identify the number(s) that appear most frequently. In the dot plot for the students, the number of siblings that appears most frequently is 2, as there are 7 dots above the number 2 on the number line. This makes 2 the mode for the students' data.
For the teachers' data, the number of siblings that appears most frequently is 4, with 5 dots above the number 4 on the number line. Therefore, 4 is the mode for the teachers' data.
Comparing the modes of the two data sets, we have:
- Mode for students: 2
- Mode for teachers: 4
The other options provided do not accurately reflect the modes of the data sets based on the given dot plots.
Problem
A knitting pattern for a shawl calls for 8
stitches in the first row. Each row after that
has 2 more stitches than the previous row.
The explicit rule ax = 8 + (k − 1)2 gives the
number of stitches in the nth row row.
Answer:
The n row has [tex]2n+6[/tex] stitches.Step-by-step explanation:
The given expression is
[tex]a_{k}=8+(k-1)2[/tex]
Where [tex]d=2[/tex] and [tex]a_{1}=8[/tex].
The number of stitches in the n row are expressed as
[tex]a_{n} =8+2n-2\\a_{n} =2n+6[/tex]
Therefore, the n row has [tex]2n+6[/tex] stitches.
Notice that the result is an expression, that is beacuse the problem is asking for a general solution, it's asking for the n row, which refers to certain row in general terms.
Answer:
1st question: C
2nd : 8
3rd : 46
4th : 540
I need help like now
Answer for brainliest !!!!! ASAP NOW REALLY EASY
Answer: I believe the answer is 14.04
Step-by-step explanation:
When you divide 3.24 into 3 it gives you 1.08 then multiply it by 13 to get 14.04
Answer:
14.04
Step-by-step explanation:
You have 3 apples. Those 3 apples cost 3.24. He also wants to buy 13 MORE. You find the answer for doing a diagram like this:
A- 3 A- 13
$- 3.24 $- ?
Step 1. Do the diagram and fill it out.
Step 2. Multiply 13 and 3.24
(You get 42.12)
Step 3. Divide the answer (42.12) by 3
(You get 14.04)
And thats how you get the answer.
Please answer this correctly
Answer:
3 PM
Step-by-step explanation:
1.30 + .30 + 1 =
3
Answer:
3:00 pm
Step-by-step explanation:
Time spent video games 30 minutes
Time spent homework 1 hour
Total time 1 hour 30 minutes
Starting at 1 :30
Add 1 hour 30 minutes
1:30
+1:30
--------------
2:60
But 60 minutes is 1 hour so change the 60 minutes to 0 and add 1 hour
3:00
We started at pm we did not pass over 12 so we are still at pm
3:00 pm
Which expression is equivalent to the following expression? 2(x + 7)
a. 2x + 7
b. 2x + 9
c. 2x + 14
d. x + 14
Answer:
C
Step-by-step explanation:
Use distributive property. distribute the 2 into both numbers by multiplying them both by 2 and you get 2x + 14
Answer:
I believe the answer is (C) 2x+14.
You have to distribute the 2 and multiply it to the x and the 14.
Step-by-step explanation:
Multiply the x by the 2 to get 2x
multiply the 7 by the 2 to get 14
so the equation is: 2x + 14
I hope this is correct.
(5 + 4 – 2) × (–2) = ?
Question 7 options:
A)
–22
B)
–14
C)
22
D)
14
Answer:
B. -14
Step-by-step explanation:
(5 + 4 – 2) × (–2)
7x(-2)
=-14
Find the value of x in the figure.
image
A.
10
C.
16
B.
12
D.
14
Answer:
X = 12
Step-by-step explanation:
42 + 48 = 90 degree angle
4 x 12 = 48
Huilan is years younger than Thomas. The sum of their ages is 81. What is Thomas's age?
Answer:
Step-by-step explanation:
Let x = the age of Thomas
Let x + 6 = the age of Huilan
x + x + 6 = 70
2x + 6 = 70
2x = 64
x = 32 years
x+6 = 38 years
When working with rational expressions, restricted values are values of your variable that results in an undefined rational expression. Given the following rational expressions: 2x+4/x^2−x−6 and 2/x−3 Determine whether the rational expressions are equivalent and explain your answer. Determine the values that would make the rational expressions undefined. Are these values the same or different? Explain.
Answer:
See below
Step-by-step explanation:
2x+4 / x^2-x-6
= 2(x+2)/(x-3)(x+2)
= 2/(x-3)
So the 2 expressions are equivalent
The values of x which make the expressions undefined are those values which make the denominators 0
For 2x+4/ x^2-x-6 they are X=3 and x= -2.
For 2/x-3 they are x =3.
Heeeeeeeeeeeeellllllllllllp
Answer:30
Step-by-step explanation:add all the sides
A triangle has side lengths of 14 cm and 6 cm. Which could be the value of the third side, 27cm or 17cm
Answer:
17
Step-by-step explanation:
i think it was like the hypotenuse should be shorter than the other two sides sum.
Find the common difference: -18, -23, -28, -33, ..
Answer:
5
Step-by-step explanation:
Between each number there is a change of 5 in the negative direction
Answer:
5
Step-by-step explanation:
An electronics store sends an email survey to all customers who bought tablets. The previous month, 570 people bought tablets. Surveys were sent to 300 of these people, chosen at random, and 138 people responded to the survey. Identify the population and the sample.
Group of answer choices
The population is 570. The sample is 138.
The population is 570. The sample is 300.
The population is 300. The sample is 138.
The population is 138. The sample is 570.
The population is 138. The sample is 300.
The population is the entire group of customers who bought tablets, totaling 570 people. The sample is the subset of 300 customers who were randomly chosen to receive the survey.
Explanation:In the given scenario, an electronics store has conducted a survey among its customers who purchased tablets. To identify the population and the sample in this context, we look at the definitions of each term. The population is the entire group that is the focus of the study, while the sample is a subset of the population that is surveyed to represent the whole.
The population in this case includes all the customers who bought tablets during the previous month, which totals to 570 people. The sample is the group of customers who were selected to receive the survey. Since surveys were sent to 300 of these customers at random, the sample size is 300.
Therefore, the correct identification is: The population is 570. The sample is 300.
using the line of best fit as a guide, predict the number of weeks of practice it would take for someone to type 80 words per minute.
Answer:
8 weeks
Step-by-step explanation:
What value is 1/3 (4a + 1) = 1/2a
Answer:
a = -2/5 = -0.400
Step-by-step explanation:
Which value of b would make x²+bx-30 factorable?
A. -31
B. -17
C. 11
D. 13
Answer:
D. 13
Step-by-step explanation:
well since it's a quadratic equation, it can be written in the form of ax²+bx+c=0. So we have a=1, b=b and c= -30. Also the roots are given by the equation-
x= -b±[tex]\sqrt{b^{2}-4ac}[/tex] /2a. So all I did was put the number from the choices which would satisfy the sqrt part and that turned out to be 13 since [tex]\sqrt{13^{2}-4*1*(-30)[/tex] = [tex]\sqrt{289}[/tex] = 17. So b=13.
Estimate a 15% tip on a dinner bill of $38.43 by first rounding the bill amount to the nearest ten dollars.
Answer:
$6
Step-by-step explanation:
First round up to $40 and then (40/100)*15 = 6
My co-worker Larry only likes numbers that are divisible by 4, such as 20, or 4,004. How many different ones digits are possible in numbers that Larry likes?
Answer:
7
Step-by-step explanation:
0, 1, 4, 8, -1, -4, and -8 can be divisable by 4
Which graph represents the circle (x + 2)2 + (y - 3)2 = 25?
Answer:
the center is (-2,3)
Step-by-step explanation:
The required graph that represents circle (x + 2)² + (y - 3)² = 25 is given below in the image.
graph represents the circle (x + 2)2 + (y - 3)2 = 25 to determine.
The area of the circle is given by the pie times square of the radius.
Area of circle = πr^2
Standard form of the equation of circle = ( x - h ) ²+ ( x - y )² = r²
Where r is the circle's radius and h and k is the circle's center.
Given equation of the circle = (x + 2)² + (y - 3)² = 25
where center is ( -2, 3 )
radius r = √25 = 5
While plotting a circle on a graph marks the center at ( -2, 3 ) radius. and draw the circle of radius 5 around the center ( -2, 3 ). The result is shown in the image.
Thus, the required graph that represents circle (x + 2)² + (y - 3)² = 25. is given below in the image.
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what are dependent events
Answer:
dependent events are if the outcome of one event affects the outcome of another
What kind of angle is EOD and what is it’s measure?
Answer:
Answer:
Part 1) m∠EOD=20°
Part 2) m∠AOD=80°
Step-by-step explanation:
Part 1) Find the measure of angle EOD
we know that °
m∠EOD=m∠EOX-m∠DOX
we have
Observing the figure
m∠EOX=140°
m∠DOX=120°
substitute
m∠EOD=140°-120°=20°
Part 2) Find the measure of angle AOD
we know that °
m∠AOD=m∠DOX-m∠AOX
we have
Observing the figure
m∠AOX=40°
m∠DOX=120°
substitute
m∠AOD=120°-40°=80°
Step-by-step explanation:
i need help with this question i don’t understand it
Answer:
its pi just multiply the sun designs
Step-by-step explanation: if more info needed just reply to this
Please help fast will mark 5 stars
Answer:
1 solution
Step-by-step explanation:
The lines intersect 1 time
Answer:
1 solution
Step-by-step explanation:
The intersection is the one solution.
Is x greater than,less than, or equal to 43
Answer: Equal
Step-by-step explanation: Brainiest answer pls
Answer:
ever so slightly greater than
x > 43
Step-by-step explanation:
hope this helped! :D
brainliest?
solve this equation 8-x2= -17
Answer:
x=25/2
Step-by-step explanation:
8-2x-8=-17-8
-2x=-25
-2x/2= -25/2
Answer:
x=5 or x=−5
they both work