(y - 6) = -4(x + 3) in slope intercept form

Answer:

Value of a =3

Value of b =5

Step-by-step explanation:

[tex]If\ the\ polynomial\ p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b,\ p\left(1\right)\ =\ 3\ and\ p\left(2\right)\ =\ 19,\ find\ a\ \&\ b[/tex]

We are given p(1)=3 and p(2)=19

Putting x =1 to find p(1)

[tex]p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b\\p(1)=2(1)^3+a(1)^2-7(1)+b\\We \ know \ p(1)=3\\3=2+a-7+b\\3=-5+a+b\\a+b=3+5\\a+b=8[/tex]

Now putting x=2 as p(2)=19

[tex]p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b\\p(2)=2(2)^3+a(2)^2-7(2)+b\\We \ know \ p(2)=19\\19=2(8)+4a-14+b\\19=16+4a-14+b\\4a+b=19-16+14\\4a+b=17[/tex]

Solving these equations to find values of a and b

[tex]a+b=8---eq(1)\\4a+b=17---eq(2)[/tex]

Subtract both equations

[tex]a+b=8\\4a+b=17\\-\ \ \ - \ \ \ -\\------\\-3a=-9\\a=\frac{-9}{-3}\\a=3[/tex]

So, value of a =3

Now finding value of b bu putting value of a in equation 1

[tex]a+b=8\\3+b=8\\b=8-3\\b=5[/tex]

So, Value of b =5

Answer:

x=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

just find the arithimetic sequence and count backwards have a great day

Answer:

x = 7, arc DE = 198°

Step-by-step explanation:

Inscribed angles from the same arc are congruent.

∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus

12x + 15 = 3x + 78 ( subtract 3x from both sides )

9x + 15 = 78 ( subtract 15 from both sides )

9x = 63 ( divide both sides by 9 )

x = 7

Thus

∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°

The inscribed angle DCE is half the measure of its intercepted arc, thus

arc DE = 2 × 99° = 198°

Answer:

46 degrees

Step-by-step explanation:

Answer:

[tex]x = 46[/tex]

Step-by-step explanation:

First I identified that 2 of side lengths are the same, being 5. Then 88° is inbetween them, so I now know that both missing angles will be equal. This works with all triangles, if 2 sides equal the same then 2 angles will be equal.

So now we know a triangles angles always add up to be 180, so now we just subtract and divide.

[tex]180 - 88 = 92[/tex]

So now we know the sum of both missing angles so we can just divide the value in half because both angles are the same.

[tex]92 \div 2 = 46[/tex]

Now we know x=46°

[tex]x = - 10 \\ [/tex]

[tex]x = 2[/tex]

Step-by-step explanation:

[tex] \sqrt{20 - 8x} = \times [/tex]

[tex]20 - 8x = {x}^{2} [/tex]

[tex] {x}^{2} + 8x - 20 = 0[/tex]

[tex]x = - 10[/tex]

[tex]x = 2[/tex]

Answer: The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Step-by-step explanation:

Standard deviation measures the spread around the mean of the different variables.

Shenika's monthly salary has a standard deviation of 7.67 while Clarissa has a standard deviation of 12.53. This means that Shenika's monthly salary is less spread out than the monthly salary of Clarissa.

Answer:

4

Step-by-step explanation:

$2.50 → 10 ounces

$1.00 → (10/2.50 x 1.00) ounces = 4 ounces

Answer:

The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Step-by-step explanation:

let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.

from the condition given in the question we can write

9x + 13y + 9z = 257 ........ (1)

4x + 6y + 4z = 116 ........... (2) and    

3x + 4y + z = 59 ......... (3)

From equation (2) we get

9x + 13.5y + 9z = 261 ....... (4) {Multiplying with  both sides}

solving equations (1) and (4) we get

0.5y = 4

and ⇒ y = 8.

from equation (2) putting the value of y we get,  

4x + 4z = 116 - 48 = 68

⇒x + z = 17 .....(5)

Now, from equation (3) putting y = 8 we get,  

3x + z = 59 - 32 = 27 ....... (6)  

hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x

⇒ 2x = 10

⇒ x = 5  

So, z = 17 - x = 12

therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Answer:

technologist

Step-by-step explanation:

technologist is best

Answer:

Financial managers are typically more open and charismatic individuals, which can lead a team and make correct decisions. If your leadership and decisive skills are good, great! Financial manager is better for you.

Meanwhile, radiologist technologist (or just radiologists) are doctors who oversee x-ray operations, MRIs or PET scans. They are typically very specialized into this kind of field. If you're more into this kind of job, then go for it!

Step-by-step explanation:

Thanks, and please give Brainliest!

Answer:

y = -1/2x - 4

Step-by-step explanation:

Let equation of line u be y = mx + c

since line t and line u are parallel, slope/gradient of both lines are the same (aka m = -1/2)

sub (4, -6):

-6 = -1/2(4) + c

c = -4

therefore, equation of line u is y = -1/2x - 4

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer: The answer was A,

(3 1/2 , -4 )

For people who are taking the test on edge.

Step-by-step explanation:

Answer:

A is the correct answer

Answer:

1296

Step-by-step explanation:

6x6x6x6

6^4

Answer:

6×6×6×6

Step-by-step explanation:

I hope this helps

The correct format of the question is

After an​ accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the​ speed, v, in miles per​ hour, that a car was traveling by measuring the length of the skid​ marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 ​mi/h, was the car​ speeding? The speed of a car that left skid marks 118 ft long was about nothing ​mi/h.

Answer:

48.6mi/h, Yes the car was speeding.

Step-by-step explanation:

The speed of the car is given by  [tex]v=2\sqrt{5L }[/tex]

Skid length (L) = 118ft

V= [tex]2\sqrt{5*118}[/tex]

  = 2 [tex]\sqrt{590}[/tex]  

  =  2*24.3

V = 48.6mi/h

Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.

Answer:

Value of what?

Step-by-step explanation:

Put your question DB and I'll answer!

Answer:

x = 15

Step-by-step explanation:

x = 15 means that if you have 1 + x and plug in the 15 for x, 1 + 15 you will get 16.

Note: I'm not quite sure what the question is on this one, but I hope I could help.

Answer:

Step-by-step explanation:

its the same because when you simplify it the equation is the same

Answer:

we need 2 equations to solve by elimination

Answer:

Step-by-step explanation:

for x

3x + y = -1

subtract 3x from both sides

y = -3x - 1

answer

for y

3x + y = -1

subtract y on from both sides

3x = -y -1

divide by 3

x = -1/2y - 1/3

answer

Answer:

7.234

Step-by-step explanation:

I think this right lol lmk

Answer:

[tex]7.234\times10^{11}[/tex]

Step-by-step explanation:

In order to find the scientific notation of a number you must count the zeros.

[tex]0.00000000007234[/tex]

[tex]zeros=10[/tex]

[tex]7.234\times10^{11} =.00000000007234[/tex]

Remember you have to move the decimal point 11 times to get the decimal to where it is in standard form.

Hope this helps.

Answer:

domain is the max and min x values

range is the max and min y values

Step-by-step explanation:

Answer:

70 candies

Step-by-step explanation:

35 x 2 = 70

Check:

70/2 = 35

Answer:39 i dont im 12 ps out

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

8x3^2 -3-8

8x9-3-8

72-3-8

72-11

61

Answer:

One Solution:

No Solution:

Infinity many solutions:

Step-by-step explanation:

We will see the system of equations one by one.

First system of Equation:

[tex]y = 0.5x-2\\y=-0.5x+4[/tex]

It can clearly be seen that the two lines formed by the given equations are in opposite direction and they will have one intersection point so only one solution

Second System of Equation:

[tex]y=0.5x+5\\y=0.5x+1[/tex]

This system also has no solution as the equations represent parallel lines and if we try to solve them we will get the solution in the form 0 = constant.

Third System of Equations:

[tex]y =2x+1\\y = -4x+1[/tex]

The given equations will have a unique solution because the lines have different slopes or when graphed, they will have an intersection point.

Fourth System of Equations:

[tex]y=3x+2.5\\y=3x+2.5[/tex]

The lines formed by these lines will overlap each other so there will be infinity many solutions.

Fifth System of Equations:

[tex]y=-x-3\\y=-x+3[/tex]

These equations represent parallel lines so there will be no solution.

Sixth System of Solution:

[tex]y=-x-2\\y=-x-2\\[/tex]

The system will have infinite number of solutions

Hence,

One Solution:

No Solution:

Infinity many solutions:

Answer:

the first answer is correct

Step-by-step explanation:

Answer:

-72

Step-by-step explanation:

first replace x with -12 so 5(-12)-12

then simplify which makes it -60-12

finally solve that which gives you -72

hope this helps :)

Answer: each ticket cost 5 dollar

Step-by-step explanation: if you do 80 divide 16 you will get 5. So if you did 5x16 you would get 80.

Answer:

Step-by-step explanation:

50 - 5 - 18 = 27

27 ÷ 3 = 9

x = 9

Answer:

7.1 yard per min

Step-by-step explanation:

Answer:

1. function 2. function 3. function 4. function 5. function 6. not a function

Step-by-step explanation:

Answer:

i think its rise over run

Step-by-step explanation:

Answer:

x - (-3/4,0)

y - (0, 3/7)

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

3.

XY is tangent at P and CP is radius

[tex] \therefore CP\perp XP\\(\because tangent\: is \: perpendicular \: to\: radius) \\\\

\therefore m\angle CPX = 90\degree \\[/tex]

4.

Radius of the circle = diameter /2 = 13/2 = 6.5.cm

5.

For BD to be be tangent to the circle with center C, BD should make right angle with radius CB.

[tex] AD^2 [/tex] should be equal to the sum of the squares BD and AB.

Let us work it out:

[tex] AD^2 = 7^2 = 49....(1)\\

AB^2 + BD^2 = 5^2 +5^2 \\

AB^2 + BD^2 = 25 + 25 \\

AB^2 + BD^2 = 50....(2) \\[/tex]

From equations (1) & (2), it is obvious that:

[tex] AD^2 \neq AB^2 + BD^2[/tex]

So, BD is not tangent to the[tex] \odot\: C. [/tex]

6.

Tangents drawn from an external point to a circle are congruent.

In circle with center C, BA and BD are tangents drawn from external point B.

Therefore,

BA = BD

x = 4

7.

In circle with center C, BA and BD are tangents drawn from external point B.

Therefore,

BD = BA (tangents drawn from external point to a circle)

x = 2

8.

In circle with center C, BA and BD are tangents drawn from external point B.

Therefore,

BA = BD (tangents drawn from external point to a circle)

2x = 10

x = 10/2

x = 5