If x= 2/3 and x = – 3 are roots of the quadratic equations ax2 + lx + b = 0, find the values of a and b.

Answers

Answer 1

Answer:

Step-by-step explanation:

ax² + 7x + b

Substituting 2/3 in equation

4a/9 + 14/3 +b = 0

4a/3 + 14 + 3b = 0

4a + 42 + 9b = 0 ------> (i)

Substituting -3 in equation

9a - 21 + b = 0

81a - 189 + 9b = 0 ------> (ii)

Elimination method

a = 3

substituting in any equation

b = -6


Related Questions

simplify 1/3 : 2.5 : 3 3/4​

Answers

Answer:

1/3x3 3/4  /2.5 = 0.3

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.


Answers

Answer:

its 28

Step-by-step explanation:

C is the longest side which is 35 ye and b is 21 yd. Then you would subtract 21^2 from 35^2 and you would get 784. Then find the square root of 784 and you would get 28 as the answer! Good luck and have a great day or night!

Answer:

28 yards

Step-by-step explanation:

We can use pythagorean theorem to solve this problem; pythagorean theorem is denoted by the formula a^2 + b^2 = c^2. We already have b, as 21 yd and c, as the hypotenuse is 35 yd. We can plug these values into the formula:

a^2 + 21^2 = 35^2

a^2 + 441 = 1225

a^2 = 784

a = 28 yards


The relay race is 5 kilometers long. If there are 12 racers
per team, how far would each racer need to run?a.5/12 b.12/5 c.1 2/5 d.5 1/12

Answers

Answer:

A

Step-by-step explanation:

7th grade stuff for fun Pemdas ;) ​

Answers

im pretty sure the answer is 16

Step-by-step explanation:

the drinks are 10

, burgers are 5 and each of the fries are 1. Since there is one of each, it will be like this 10+5+1

Answer:

soda = 10

burger = 5

fri = 2

5 + 2 x 10 = 25

Step-by-step explanation: its 25 cuz its 25

Solve the simultaneous equations
4x3y=32
4x-y=16

Answers

Step-by-step explanation:

Solve equation [2] for the variable y

[2] y = -4x + 16

// Plug this in for variable y in equation [1]

[1] 4x + 3•(-4x+16) = 32

[1] -8x = -16

// Solve equation [1] for the variable x

[1] 8x = 16

[1] x = 2

// By now we know this much :

x = 2

y = -4x+16

// Use the x value to solve for y

y = -4(2)+16 = 8

Solution :

{x,y} = {2,8}

i don’t know if it’s B or C what do you guys think?

Answers

Answer:

I think it is D.

Step-by-step explanation:

It is a guess, but I am not fully sure.

If correct, may I have a brainliest?

                      XxRoadToAcexX

Answer:

D) 17.51

Step-by-step explanation:

D) 17.51

Your mother has a new cell phone. It comes with 18 apps already installed. She only uses 2/3 of those apps. She downloaded 12 more apps that she uses frequently. Write an equation to represent the total number apps your mom uses.

Answers

Awnser: sge uses 24 apps
Step by step explanation: 18 divided by 3 = 6. 6+6=12. 12+12=24.
Have a great day! Hope this helps

Answer:

Step-by-step explanation:

The cell phone comes with 18 apps already installed, but she only uses 2/3 of the apps. Therefore, we need to find 2/3 of 18 to find the number of apps she uses. 2/3 * 18 = 12 apps she uses frequently. Outside of that, she downloads 12 more frequently used apps, so you add 12 to 12 to get 24 total apps that she uses.

However, the question asks for the equation to find the answer. So, the equation would be like:

18(2/3) + 12 = x

where x is representing the number of apps she uses.

Someone please help me with this.

Answers

Answer:

fjf brotherhood handy urgency if it's by Griffith Jr it cuz if he by us if he my na na na hg hg hhbnnnnnñmmmmnnnnnnnn

What is the first step in evaluating the expression shown below? (12 ÷ ( 7 . 4 − 3 . 6 ) + 8 − 2) A. Subtract 7 . 4 − 3 . 6 . B. Divide 12 ÷ 7 . 4 . C. Add 3 . 6 + 8 . D. Subtract 8 − 2 .

Answers

Answer:

A

Step-by-step explanation:

(12 ÷ ( 7 . 4 − 3 . 6 ) + 8 − 2)

Follow the order of operations, the first thing to do would be the parenthesis.

7.4 - 3.6 = 3.8

So, your answer would be A, Subtract 7 . 4 − 3 . 6.

Have a wonderful day!

Answer:

A hope you get it right

(☞゚ヮ゚)☞     ¯\_(ツ)_/¯

3.
What is the rate of change of this graph?
825
750
675
Account Balance (dollars)
600
525
450
375
300
0
1
2
3
4
5
6
7
00
9
10
Time (months)

Answers

9514 1404 393

Answer:

  -25 dollars per month

Step-by-step explanation:

It is convenient to compute the rate of change using points where the graph crosses grid intersections. A couple of these are ...

  (months, dollars) = (1, 675)  and  (4, 600)

Using the slope formula, we have ...

  m = (y2 -y1)/(x2 -x1)

  m = (600 -675)/(4 -1) = -75/3 = -25 . . . . . dollars/month

o.5 is < or > or = to 0.7

Answers

Answer:

.5 < .7

Step-by-step explanation:

unless its negatives, the bigger the number the more value it has

0.5 > 0.7 i hope this helpsssss

Can someone help me with this I don’t know the answer

Answers

Answer: 271.2

Step-by-step explanation: Explanation is below.

Consider the function.
f(x)=2 1/2 - 3 1/3
What is the x-intercept of f-1(x)?

o (-3 1/3,0)
o (-3/10,0)
o (3/4,0)
o (2 1/2,0)

Answers

Answer:

Option 4

Step-by-step explanation:

Given function is,

[tex]f(x)=2\frac{1}{2}-3\frac{1}{3}x[/tex]

Steps to get the inverse of the given function,

Step 1,

Convert the function into equation,

[tex]y=2\frac{1}{2}-3\frac{1}{3}x[/tex]

Step 2,

Interchange the variables 'x' and 'y',

[tex]x=2\frac{1}{2}-3\frac{1}{3}y[/tex]

Step 3,

Solve the equation for the value of y,

[tex]x-2\frac{1}{2}=-3\frac{1}{3}y[/tex]

[tex]x-\frac{5}{2}=-\frac{10}{3}y[/tex]

[tex]-x+\frac{5}{2}=\frac{10}{3}y[/tex]

[tex]-3x+\frac{15}{2}=10y[/tex]

[tex]-\frac{3}{10}x+\frac{15}{20}=y[/tex]

[tex]y=-\frac{3}{10}x+\frac{3}{4}[/tex]

Step 4,

Convert the equation into inverse function,

[tex]f^{-1}x=-\frac{3}{10}x+\frac{3}{4}[/tex]

For x-intercepts,

Substitute y = 0,

[tex]0=-\frac{3}{10}x+\frac{3}{4}[/tex]

[tex]\frac{3}{10}x=\frac{3}{4}[/tex]

[tex]x=\frac{10}{4}[/tex]

[tex]x=\frac{5}{2}[/tex]

[tex]x=2\frac{1}{2}[/tex]

Therefore, x-intercept of the inverse function is [tex](2\frac{1}{2},0)[/tex].

Option 4 will be the answer.

Which expression is shown on the number line?

Answers

Answer: i think its e

Step-by-step explanation:......

Answer:

no.A 5/3÷×1/3 is the answer

A middle school coach wrote down the time, in seconds, of her students’ 100-meter dash as shown in the table. Student Time -(seconds … ) Gary 11.9 Rick 12.3 Phillip 13.5 Jorge 12.0 Robert 12.3 Jeremy 16.0 If the slowest time and the fastest time are removed from the data, how does the new mean compare to the mean of the ..

Answers

Answer:

D. The mean would decrease as there is less variability in the data.

Step-by-step explanation:

So, let’s find the mean with all of those numbers. First of all we should order them from least to greatest.

11.9, 12.0, 12.3, 12.3, 13.5, 16.0

We add them all up, and get 78! Once we get this total, we must divide it by how many numbers there are! There are six numbers, so 78/6.

78/6 is equal to 13. So the mean for all those numbers is 13.

Now let’s find the mean if we cross out the greatest and least numbers, the greatest number is 16.0, and the least number Is 11.9.

So, our new data set is:

12.0, 12.3, 12.3, 13.5

Add those all up to get 50.1

Divide the total by the numbers we got left, which is 4!

50.1/4 is equal to 12.525.

So the mean of our new data set is 12.525!

So that’s how I got the answer, have a nice day! Please tell me if I’m wrong!

12.525 < 13


Write the equation that is the translation of y = |x|left 6 units and down 4 units.

y = |x-6|-4
y = |x+6|-4
y = |x-4|-6
y = |x+|-6

Answers

Answer:

y = |x-6|-4

Step-by-step explanation:

If the function is translated left 6, you subtract 6 from the x value. Then if you go down 4, you are subtracting 4 from the y value. Before going down, y = |x-6|. So subtract 4 from that and you get y = |x-6|-4.

Solve for p.

p + 36 = 73

p =

Answers

Answer:

p=37

Step-by-step explanation:

to get p by its self, you would do:

p+36=73

 -36=-36

p=37

Answer:

37

Step-by-step explanation:

Find the coordinates of point B on AC such that AC is 6 times long as AB.

Answers

Answer:

I think it's 36 I'm not sure because you did give me more to go off of to help you sorry if it's wrong

Identify the null and alternative hypothesis in the following scenario.

To determine if battery 1 lasts longer than battery 2, the mean lasting times, of the two competing batteries are compared. Twenty batteries of each type are randomly sampled and tested. Both populations have normal distributions with unknown standard deviations.

a. H0:μ1≥μ2; Ha:μ1<μ2
b. H0:μ1≤−μ2; Ha:μ1>−μ2
c. H0:μ1≥−μ2; Ha:μ1<−μ2
d. H0:μ1=μ2; Ha:μ1≠μ2
e. H0:μ1≤μ2; Ha:μ1>μ2

Answers

Answer:

H0 : u1 = u2 ;  H1 : u1 ≠ u2 , or specifically u1 > u2  

Step-by-step explanation:

Null Hypothesis is the neutral hypothesis , stating no difference from assumed value,  (or in this case no difference between both batteries' mean life)

Alternate Hypothesis is the special case hypothesis, stating difference from assumed value , (or in this case states difference between both batteries' mean life)

Let mean life of battery 1 & battery be b = u1 & u2 , respectively.

Null Hypothesis  [ H0 ] : u1 = u2

Alternate Hypothesis  [ H1 ] : u1 ≠ u2 , or specifically u1 > u2 { To determine if battery 1 lasts longer than battery 2 }

2) Justin works at supermarket and regularly earns $10.50 per hour. In the past five
days, his time card shows that he worked 5.3, 3.4, 6.0, 5.5, and 5.3 hours. What is his
gross pay?

Answers

If 1 hour is $10.50

5.3X10.5=$55.65
3.4X10.5=$35.7
6.0X10.5=$63.0
5.5X10.5=$57.75
There gross pay is the summation of the four earnings =$212.10

Simplify the variable expression below as much as possible.
3x + 2y + 5-3

Answers

Answer:

3x+2y+2=0

3x=-2y-2

x=-(2y+2)/3

Step-by-step explanation:

A bus makes a stop at 2:30, letting off 10 people and letting on 3. The bus makes another stop ten minutes later to let off 2 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?

Answers

1 person is still
on the bus

Does a compromised account on Instamean your banned for a few days????? Yes or no?
Answer ASAP

Answers

Answer:

Not necessarily

Step-by-step explanation:

Not necessarily. Compromised accounts tend to happen for one of two reasons. The first is that the system detects and overdose of activity on your account meaning your are spamming likes, shares, etc on the account. The second is due to unauthorized access or suspicious activity. Both of these can either cause a temporary ban on your account that lasts for a 24 hours or a deactivation of the account. To reactivate your account you will need to login, and reactivate it in the settings, which may ask you to reset your login information.

What is the midpoint of the line with endpoints (3,-2) and (-3,6)

Answers

(0, 2)

Step-by-step explanation:

The coordinates of the midpoint of a line segment is given by

[(x2 + x1)/2 , (y2 + y1)/2]

Let P1 = (3, -2) and P2 = (-3, 6)

x-coordinate:

(1/2)(x2 + x1) = (1/2)[(-3) + 3] = 0

y-coordinate:

(1/2)(y2 + y1) = (1/2)[6 + (-2)] = 2

Therefore, the coordinates of the midpoint whose endpoints are (3, -2) and (-3, 6) are

(0, 2)

40% is NOT equivalent to....?
A. 0.4
B.2/5
C.40/100
D. 0.04
E. None correct

Answers

Answer:

d

Step-by-step explanation:

d is .04 percent plz mark branliest

10 (-2 + 3y) + 8y = -20

Answers

This is y=0
………………………

A rose garden is formed by folning a rectangle and a semicircle, as shown below. The rectangle is 21 ft long and 17 ft wide. If the gardener wants to build a
fence around the garden, how many feet of fence are required? (Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in
your answer.)

Answers

Answer:

76 ft of fence is required.

Step-by-step explanation:

21 ft + 17 ft + 21 ft + 17 ft = 76 ft

and 90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u

help plssssssssssssssssss

Answers

Answer:

There’s two options for each. Look below.

Step-by-step explanation:

Savings: there is no risk of losing any money put into this account

              interest income is the only way to earn money in this type

‘investment: this account may generate income from a variety of sourses.

                  If no deposits or withdrawals are made, money held in this acct..

can someone help me really please​

Answers

Answer:

bro I don't know seach on chome

which is greater? 0.04 or 0.39

Answers

Answer:

0.39

Step-by-step explanation:

think about it this way, if you take away the decimal it would be 39 and 04. 04 is another way to write 4 and  4 is less than 39. so 0.04 is less than 0.39

Answer:

0.04 > - 0.39

Step-by-step explanation:

0.04 > - 0.39

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