9. Matt bought a new crate for his dog. The old crate was 8 square feet, and the new crate was 12 square feet. What is the percent increase in the space?

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:

∠1 and ∠3

∠6 and ∠8

∠5 and ∠7

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:

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.

Answer:

70 candies

Step-by-step explanation:

35 x 2 = 70

Check:

70/2 = 35

Answer:

7.1 yard per min

Step-by-step explanation:

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 :)

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:

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:

1296

Step-by-step explanation:

6x6x6x6

6^4

Answer:

6×6×6×6

Step-by-step explanation:

I hope this helps

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.

(2-c,y) is the answer for the problem.

Answer:

Step-by-step explanation:

50 - 5 - 18 = 27

27 ÷ 3 = 9

x = 9

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:

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

#SPJ2

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:

c and g

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

Answer: None

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

8x3^2 -3-8

8x9-3-8

72-3-8

72-11

61

Answer:

84

Step-by-step explanation:

p^2-r^2= 10^2-(-4)^2

100-16=84

Answer:

22.7?

Step-by-step explanation:

Answer:

x - (-3/4,0)

y - (0, 3/7)

Step-by-step explanation:

Answer:

g(x)=-6x+5

Step-by-step explanation:

Answer:

the answer is 8

Step-by-step explanation: so first what you want to do is you want to set up the equation 18x-41. then you want to do 15x because of the 15 per hour. then you minus 17. so your equation is 18x-41=15x-17 then the answer to that is 8 hours

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:

Point Form:  ( 4 , − 5 )

Equation Form:  x  =  4 ,  y  =  - 5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:  ( 4 , − 5 )

Equation Form:  x  =  4 ,  y  =  - 5

Answer:

(4, - 5)

Step-by-step explanation:

3x - 4y = 32 ........ (1)

5x + 2y = 10 ....... (2)

(2) × 2 + (1)

13x = 52 ⇒ x = 4

3(4) - 4y = 32 ⇒ y = - 5

(4, - 5)

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)