solve for a ~
[tex]a {}^{2} - 5a + 6 = 0[/tex]

thankyou ~​

Answers

Answer 1

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 2

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]


Related Questions

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.

Answers

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.​

Answers

[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!!!!!!!!!

Answers

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]

Answers

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

Answers

13 packs a year. 6.50 (.50 comes from 1/2) since the question states that she uses 6_1/2 packs of pencils in the first “1/2” of the year we need to multiply the 6_1/2 by 2 and we get our answer.
13 packs per year because 6 1/2 x 2 = 13 so it would be 13

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

Answers

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.)

Answers

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?

Answers

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?​

Answers

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

Answers

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.

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

Answers

Answer:

B. 149

Step-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 = 149

Correct choice is B

Let that be m

2(46)=m-5792=m-57m=92+57m=149

option 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)​

Answers

Answer:

what are the objectives of census class 7

Factor completely
X^6-125y^6

Answers

(x2 - 5y2) • (x4 + 5x2y2 + 25y4)

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.

Answers

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

Answers

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 ✨

Answers

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

Answers

Answer:

D. marginal credit is right one

The Diameter of the medal is 6cm determine the radius of the medal​

Answers

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.

Answers

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)

Answers

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

Answers

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!

Answers

the awnser is 18 the area

Use the distributive property to fill in the blank. Plssss helpp 8 x (6 - 5) = (8 x ?) - (8 x ?)

Answers

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?

Answers

Answer:

$1125

Step-by-step explanation:

Check the attachment.

PLEASE HELP ME 100 POINTS AND BRAINLY!!!

Answers

Answer:

1. 220 minutes

2. $45.6

Step-by-step explanation:

÷what expression could be used to solve 2/5 ÷ 3/4

Answers

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.

Answers

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.

Answers

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​

Answers

Answer:

360 naira hope its help

Step-by-step explanation:

brainliest me

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