First think of two numbers that have a difference of 8.

Type the LARGER of these numbers below.

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: 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:

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

Answer:

c and g

Step-by-step explanation:

Step-by-step explanation:

midpoint of AC=(x¹+x²/2,y¹+y²/2)

=(-12+6/2,-8+14/2)

=(-6/2, 6/2)

=(-3,3)

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:

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:

5

Step-by-step explanation:

Pythagorean Theorum: a^2 + b^2 = c^2

12^2 + y^2 = 13^2

144 + y^2 = 169

Subtract 144 from both sides

y^2 = 25

Square root both sides

y = 5

Answer:

y = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

y² + 12² = 13²

y² + 144 = 169 ( subtract 144 from both sides )

y² = 25 ( take the square root of both sides )

y = [tex]\sqrt{25}[/tex] = 5

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 :)

Step-by-step explanation:

thousandths

0.004 =

[tex] \frac{4}{1000} [/tex]

Answer:

Step-by-step explanation:

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

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:

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:

7, 4, 1, and -2.

Step-by-step explanation:

Our recursive rule is:

[tex]f(1)=7\!, f(n)=f(n-1)-3[/tex]

Where n is the nth term.

So, our first term will be f(1). As defined, this is 7.

Our second term will be f(2). We will use the recursive formula. Substituting 2 for n yields:

[tex]f(2)=f(2-1)-3[/tex]

Subtract:

[tex]f(2)=f(1)-3[/tex]

We know that f(1) is 7. Substitute:

[tex]f(2)=7-3=4[/tex]

Hence, the second term is 4.

We will do the same thing for the third term. Substitute 3 for n:

[tex]f(3)=f(3-1)-3[/tex]

Subtracting yields:

[tex]f(3)=f(2)-3[/tex]

We know that f(2) is 4. So:

[tex]f(3)=4-3=1[/tex]

Hence, the third term is 1.

Finally, we will do the same thing. Substitute 4 for n to find the fourth term:

[tex]\begin{aligned} f(4)&=f(4-1)-3 \\ f(4)&=f(3)-3 \\ f(4)&=1-3 \\ f(4)&=-2\end{aligned}[/tex]

Hence, the fourth term is -2.

Therefore, our first four terms are 7, 4, 1, and -2.

[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:

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:

g(x)=-6x+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

50 - 5 - 18 = 27

27 ÷ 3 = 9

x = 9

Answer:

1296

Step-by-step explanation:

6x6x6x6

6^4

Answer:

6×6×6×6

Step-by-step explanation:

I hope this helps

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:

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:

x - (-3/4,0)

y - (0, 3/7)

Step-by-step explanation:

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:

7.1 yard per min

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

8x3^2 -3-8

8x9-3-8

72-3-8

72-11

61

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:

Step-by-step explanation:

...

[tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex] is augmented matrix best represents the system of linear equations that could be used to determine the price of each item

a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Student A spent $9 on a bottle of school glue, a package of colored pencils, and a pencil pouch.

Let bottle of school glue=G

a package of colored pencils=C

pencil pouch=P

G+C+P=9

Student B

spent $16 on two bottles of school glue, three packages of colored pencils, and a pencil pouch.

2G+3C+P=16

Student C

spent $17 on a bottle of school glue, two packages of colored pencils, and two pencil pouches.

G+2C+2P=17

[tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex]

is used to determine the price of each item

Hence [tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex] is augmented matrix best represents the system of linear equations that could be used to determine the price of each item

To learn more on Matrices click:

https://brainly.com/question/11367104

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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 :)