Answer:
Hi there!
Given equation :-[tex]\:\mathsf{a^2\:-\:5a\:+\:6\:=\:0}[/tex]
Now=> By splitting the middle term
=> [tex]\:\mathsf{a^2\:-\:2a\:-\:3a\:+\:6\:=\:0}[/tex]
=> [tex]\:\mathsf{a(a\:-\:2)\:-\:3(a\:-\:2)\:=\:0}[/tex]
=> [tex]\:\mathsf{(a\:-\:2)\:-\:(a\:-\:3)\:=\:0}[/tex]
We get ,=> [tex]\:\sf{a\:=\:2\: and\: a\:=\:3}[/tex]
[tex]\:\mathsf{Hope\:this\:helps\:you!\::)}[/tex]
Thank you!
Answer:
[tex]a = 3 \: \: \: and \: \: a = 2[/tex]
Step-by-step explanation:
⬇
[tex]a^{2} - 3a - 2a + 6 = 0[/tex]
⬇
[tex]a \: (a - 3) \: \: (a - 2)[/tex]
⬇
[tex]{}\ a - 3 = 0 \\ a = 2{}[/tex]
Suppose $f(3) = 4$. Name a point that must be on the graph of $y=f(x)+4.$
Enter your answer as an ordered pair.
Answer:
(x, y) = (3, 8)
Step-by-step explanation:
The graph for y is a translation upward 4 units of the graph of f(x).
__
A point on the graph of f(x) is given as ...
(x, f(x)) = (3, f(3)) = (3, 4)
Then a point on the graph of y will be ...
(x, y) = (x, f(x) +4)) = (3, f(3)+4) = (3, 4 +4)
(x, y) = (3, 8)
A rectangle is 4 ft long and 2 ft wide. find its area in square inches.
[tex]\text{Area of rectangle} = \text{length} \times \text{width}\\\\~~~~~~~~~~~~~~~~~~~~~~~=4 ~\text{ft}~\times ~2 ~\text{ft}\\\\~~~~~~~~~~~~~~~~~~~~~~~=8~ \text{ft}^2\\\\~~~~~~~~~~~~~~~~~~~~~~~=1152~\text{in}^2[/tex]
help please!!!!!!!!!
Answer:
Alright, so, the ratio is 2:5
In total, there are 7
So, 56/7=8
8x2=16
8x5=40
So after moving 2 students,
14 on the van, 42 on the bus
(you can use the true/false now)
Answer:
1. False
2. True
3. True
4. False
Step-by-step explanation:
Going to the museum:
Total: 56 students
van:bus = 2:5
2x + 5x = 56
7x = 56
x = 8
2x = 16
5x = 40
16 students go by van
40 students go by bus
40 - 16 = 24
Going back to school:
14 students go by van
42 students go by bus
van:bus = 14/42 = 1:3
42 - 14 = 28
Questions:
1. False
2. True
3. True
4. False
[tex]\begin{equation}\text { Question: The value of } \lim _{n \rightarrow \infty} \frac{1}{n} \sum_{r=0}^{2 n-1} \frac{n^{2}}{n^{2}+4 r^{2}} \text { is }\end{equation}[/tex]
You have something resembling a Riemann sum. Multiply through the summand by 1/n², then you can write
[tex]\displaystyle \lim_{n\to\infty} \frac1n \sum_{r=0}^{2n-1} \frac{1}{1+4\left(\frac rn\right)^2} = \int_0^2 \frac{dx}{1+4x^2} = \boxed{\frac12 \tan^{-1}(4)}[/tex]
Sara used 6_1/2 packs of pencils in the first 1/2 of the year. At what rate is Sara using pencils?
⚫️13 packs per year
⚫️8_1/2 packs per year
⚫️14 packs per year
⚫️12_1/2 packs per year
At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. What is the ratio of juniors to seniors at 2:00pm in fraction form
Answer:
find the common factor in the given algebraic expressions 4 (x-y) , 6(y-x)
How much on average did she make a week, if she worked 15 hours a week at $11/hour? (Rounded to the nearest whole dollar. Do NOT put the dollar sign.)
Answer:
1265 i think
Step-by-step explanation:
add 11 15 times
Answer:165
Step-by-step explanation:
5 Ed has two dogs. The smaller dog weighs
83 pounds. The larger dog weighs 13 times
as much as the smaller dog. How much does the larger dog weigh?
Answer:
1,079 more pounds
Step-by-step explanation:
because if you do 83x13 you will get 1,079
The ratio of two numbers is 4 to 3. The sum of the numbers is 49. What are the two numbers?
Answer:
28/21
Step-by-step explanation:
28/21 is the equivalent to 4/3.
We know this is the fraction we are looking for because 28 + 21 = 49
Hope that helps!
What is the area of parallelogram ABDC?
9 cm 2
12.25 cm 2
7 cm 2
12 cm 2
Answer:
I guess it is 9 cm²
Step-by-step explanation:
Hope it helps.....
Want Brainliest? Please help! :(
Find the circumference and the area of a circle with diameter 6 m.
Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
Circumference=18.84 m
Area = 28.26 [tex]m^{2}[/tex]
Step-by-step explanation:
Circumference = 2πr
= 2 x 3.14 x 3 (radius = 6/2 = 3)
= 18.84 m
Area = π[tex]r^{2}[/tex]
= 3.14 x [tex]3^{2}[/tex]
= 28.26 [tex]m^{2}[/tex]
Answer:
Circumference=18.84 m
Area = 28.26
Step-by-step explanation:
8 points
Find the measure of the arc or
angle indicated. Assume that
lines which appear tangent are
tangent. *
F
E
46°
?
?
570
D
с
T
O 123
O 149
O 167
O 93
Answer:
B. 149Step-by-step explanation:
The angle formed by two secants is half the difference of intercepted arcs.
46 = 1/2(x - 57)x - 57 = 46*2x = 57 + 92x = 149Correct choice is B
Let that be m
2(46)=m-5792=m-57m=92+57m=149option B
7. A company invests in a new project and it is expected that after years of running the cumulative project in millions of shillings from the project is given by the function f(t)=10.5t-+- 20 where t represents time in years. The project can run for maximum of nine years required (1) Draw a graph which represent the profit functions (Smarks)
Answer:
what are the objectives of census class 7
Factor completely
X^6-125y^6
A line passes through the points (0, 6) and (–9, 9). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex]y = -\frac{1}{3} x + 6[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y = mx + b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
The formula to find the slope of a line is [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].
1) Plug the coordinates into this [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].
[tex]m = \frac{9 -6 }{-9 - 0 }[/tex]
2) Solve it. Simplify it if possible.
[tex]m = \frac{3 }{-9}[/tex]
Simplified: [tex]m = \frac{1 }{-3 }[/tex]
3) Plug the result into [tex]y = mx + b[/tex].
[tex]y = \frac{1}{-3} x + b[/tex]
4) Plug one of the points ([tex]x_{1}, y_{1}[/tex] or [tex]x_{2}, y_{2}[/tex]) into [tex]y = \frac{1}{-3} x + b[/tex] to find [tex]b[/tex].
[tex]6 = \frac{1}{-3}(0) + b[/tex]
[tex]6 = 0 + b[/tex]
[tex]6 - 0 = b[/tex]
[tex]6 = b[/tex]
5) Plug the result of [tex]b[/tex] into [tex]y = \frac{1}{-3} x + b[/tex].
[tex]y = \frac{1}{-3} x + 6[/tex]
The negative situated in the denominator can be genaralised to the fraction.
Therefore, [tex]y = -\frac{1}{3} x + 6[/tex].
HELP PLEASE ! What is the solution to the equation x + 9.5 = 27.5? (1 point)
a
x = 2.9
b
x = 18
c
x = 20
d
x = 37
Answer:
B
Step-by-step explanation:
Group like them
such that the coefficient stands alone
by subtracting both sides by 9.5
Please help me on Mathematics
✨Nonsense answer Report✨
✨Rude answer Report ✨
✨ Correct answer Brainlest ✨
✨ Complete answer Brainlest ✨
Answer:
1. 20 km/hr (60km / 3h)
2. 70 m/hr (170m / 2h)
3. 6.5 hr (260cm / 40km)
4. 4.5 s (72cm / 16cm)
5. 184 km (46km * 4h)
Step-by-step explanation:
We'll use d = distance, t = time, s = speed.
Speed over time can be found by dividing distance by time
s = d / t
We can take this formula and manipulate it to find either distance or time if we know two of the values. Keeping in mind division and multiplication cancel each other.
If we wanted to find d for instance we can multiply both sides by t to get
s * t = d
For time we can divide both sides of the above formula by s to get
t = d / s
Answer:
1. 20 km/h
2. 70 m/h
3. 6.5 h
4. 4.5 s
5. 184 km
Step-by-step explanation:
For first two questions, you can use the following formula:
[tex]\displaystyle \large{s = \frac{d}{t}}[/tex]
I denote ‘s’ be speed, ‘d’ be distance and ‘t’ be time. Some books may use ‘v’ for speed instead of ‘s’ but I use ‘s’ variable instead so it makes the equation easier to memorize.
Therefore, speed = distance/time
( 1 ) The first question is given both distance be 60 km and time be 3 hours. Therefore:
[tex]\displaystyle \large{s=\frac{60}{3}}\\\displaystyle \large{s=20 \ \ \sf{km / h}}[/tex]
So for the first question, the speed is 20 km/h
( 2 ) The second is given both distance be 140 m and time be 2 hours. Therefore:
[tex]\displaystyle \large{s=\frac{140}{2}}\\\displaystyle \large{s=70 \ \ \sf{m / h}}[/tex]
Therefore, speed is 70 m/h
For the third and four questions, we will be finding time. From the speed formula:
[tex]\displaystyle \large{s=\frac{d}{t}}[/tex]
Multiply both sides by t.
[tex]\displaystyle \large{st=d}[/tex]
Divide both sides by s.
[tex]\displaystyle \large{t=\frac{d}{s}}[/tex]
Therefore, time = distance/speed
( 3 ) The question is given speed be 40 km/h and distance be 260 km. Therefore:
[tex]\displaystyle \large{t=\frac{260}{40}}\\\displaystyle \large{t=\frac{13}{2} \ \ \sf{h}}\\\displaystyle \large{t = 6\frac{1}{2} \ \ \sf{h}}\\\displaystyle \large{t= 6.5 \ \ \sf{h}}[/tex]
Therefore, time is 6.5 h
( 4 ) The question is given speed be 16 cm/s and distance be 72 cm. Therefore:
[tex]\displaystyle \large{t=\frac{72}{16}}\\\displaystyle \large{t=\frac{9}{2} \ \ \sf{s}}\\\displaystyle \large{t=4\frac{1}{2} \ \ \sf{s}}\\\displaystyle \large{t=4.5 \ \ \sf{s}}[/tex]
Therefore, time is 4.5 s
For the last question, we have to find distance. From the speed formula:
[tex]\displaystyle \large{s=\frac{d}{t}}[/tex]
Multiply both sides by t.
[tex]\displaystyle \large{st=d}\\\displaystyle \large{d=st}[/tex]
Therefore, distance = speed * time
( 5 ) The question is given time be 4 hours and speed be 46 km/h. Therefore:
[tex]\displaystyle \large{d=46 \cdot 4}\\\displaystyle \large{ d=184 \ \ \sf{km}}[/tex]
Therefore, distance is 184 km.
Which of the following is not a kind of consumer credit?
a. installment credit
b. personal loans
A
C. service credit
d.
marginal credit
Please select the best answer from the choices provided
OA
OB
OC
OD
Mark this and return
Save and Exit
Next
Submit
Answer:
D. marginal credit is right one
The Diameter of the medal is 6cm determine the radius of the medal
Answer:
3cm
Step-by-step explanation:
the radius is half the diameter
If the diameter = 6, the radius must = 3.
Hope this helps!
- profparis
This figure represents a garden box that is to be filled with soil.
How much soil will it take to fill the garden box?
Enter your answer in the box.
Answer:
1728 ft³
Step-by-step explanation:
Lower part:
volume = 19 ft × 12 ft × 6 ft = 1368 ft³
Upper part:
volume = 10 ft × 12 ft × 3 ft = 360 ft³
Total Volume = 1728 ft³
explain in depth how 12 x √3/2 = 6√3 (GCSE MATHS)
Step-by-step explanation:
I hope this helps, you can ask any question for clarification
Kari and two of her friends are entering their senior year of high school. The tables below show the estimated expenses at three tied of schools they are considering. Complete the blanks in each table and use the information to help you answer questions 1-3
The expenses for the duration of the four years that Kari will use in the university is $68600.
How to calculate expenses?From the complete information, the expenses for the four years stay in the university will be calculated thus:
Tution = $8500
Room = $6700
Books = $1250
Miscellaneous expense = $700
Total = $17150
The expenses for the four years will be:
= $17150 × 4
= $68600
Learn more about expenses on:
https://brainly.com/question/14697297
please help find the area!
Ill mark brainliest!
Use the distributive property to fill in the blank. Plssss helpp 8 x (6 - 5) = (8 x ?) - (8 x ?)
Answer:
334 hope this helps
Step-by-step explanation:
8 × 6 = 48 -5 =43 ×8 =334
Hey there!
8 * (6 - 5)
= 8(6 - 5)
= 8(6) + 8(-5)
= 48 - 40
= 8
OR
8(6 - 5)
= 8(1)
= 8
OR EVEN
(8 * ?) - (8 * ?)
= (8 * 6) - (8 * 5)
= 48 - 40
= 8
Therefore, your answer should be:
(8 * 6) - (8 * 5)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Roy and Stefan went to a computer fair with the same amount of money. After Roy spend $850 on a notebook and Stefan spend $300 on a printer, Stefen had three times as much money left as Roy.How much money did each of them have at first?
Answer:
$1125
Step-by-step explanation:
Check the attachment.
PLEASE HELP ME 100 POINTS AND BRAINLY!!!
Answer:
1. 220 minutes
2. $45.6
Step-by-step explanation:
÷what expression could be used to solve 2/5 ÷ 3/4
Answer:
The expression is division.
Step-by-step explanation:
2/5 ÷3/4=0.075
Answer:
[tex]\frac{2}{5} \times\frac{4}{3}[/tex]
Step-by-step explanation:
To find the answer we use KCF (Keep, Change, Flip).
[tex]\frac{2}{5} \div\frac{3}{4}[/tex]
[tex]\frac{2}{5} =\frac{2}{5}[/tex]
[tex]\div=\times[/tex]
[tex]\frac{3}{4} =\frac{4}{3}[/tex]
[tex]\frac{2}{5} \times\frac{4}{3}[/tex]
Which means the expression used to find the answer would be "2/5 × 4/3."
Hope this helps.
Which statement describes the graph of the function?
The function has holes when x = 0 and x = 4.
The function has vertical asymptotes when x = 0 and x = 4.
The function has a vertical asymptote when x = 0 and a hole when x = 4.
The function has a hole when x = 0 and a vertical asymptote when x = 4.
Answer:
the function has vertical asymptotes when x = 0 and x = 4
Step-by-step explanation:
The points (-1, r) and (4, 6) lie on a line with slope 3. Find the missing coordinate r.
Answer:
R = -9
Step-by-step explanation:
To solve the slope with two points, you would use the formula y2 - y1/x2 - x1. First, you would take the formula and sub in the values that you currently know.
6 - r/4 - (-1) = 3, 6 - r/5 = 3, 6 - r = 15, -r = 9, r = -9
Therefore, r = -9.
a student has 200naira,if someone gives her 160naira, how much wi.ll she have? if someone gives her xnaira how much does wil
Answer:
360 naira hope its help
Step-by-step explanation:
brainliest me