What is the decimal equivalent of 9.7 X 10^5

Answer:

Second Choice

Step-by-step explanation:

The vertex form can be expressed as:

[tex] \displaystyle \large{f(x) = a {(x - h)}^{2} + k}[/tex]

We know that the vertex is (h,k) which we are given (-3,-1). Substitute h = -3 and k = -1 in:

[tex] \displaystyle \large{f(x) = a {(x - ( - 3))}^{2} - 1} \\ \displaystyle \large{f(x) = a {(x + 3)}^{2} - 1}[/tex]

Now we know that the parabola passes through (-2,1). Substitute x = -2 and f(x) = 1 then solve for a.

[tex] \displaystyle \large{1= a {( - 2 + 3)}^{2} - 1} \\ \displaystyle \large{1= a {(1)}^{2} - 1} \\ \displaystyle \large{1= a - 1} \\ \displaystyle \large{1 + 1= a } \\ \displaystyle \large{2 = a}[/tex]

Therefore a = 2.

Hence:-

[tex] \displaystyle \large{f(x) = 2{(x + 3)}^{2} - 1}[/tex]

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Work Shown:

We have this set of data

[tex]\begin{tabular}{|l|l|}\textbf{game} & \textbf{goals}\\ 1 & 5 \\ 2 & 6 \\ 3 & 6\\ 4 & x \end{tabular}[/tex]

where x is some positive whole number. Add up everything in the second column:

5+6+6+x = x+17

This represents the total number of goals made over the four games.

Divide this over the number of games played (4) and set that equal to the mean of 6. Solve for x.

(x+17)/4 = 6

x+17 = 4*6

x+17 = 24

x = 24-17

x = 7

7 goals were scored in the fourth game.

Answer:

[tex]x+2y-z=5 ...(1)\\ -x-y+2z=-13...(2) \\ 2x+y-2z=14...(3) \\ \\ add \: (2) + (3) \\\boxed{x= 1} \\ 2 \times (1) + (2) \\ x + 3y = - 3 \\ 1 + 3y = - 3 \\ 3y = - 4 \\ \boxed{y = - \frac{4}{3} }\\ solve \: for \: z \\ x + 2y - z = 5 \\ 1-\frac{4}{3}(2)-z=5\\3-8-3z=15\\3z=-20\\\boxed{z = - \frac{20}{3} }[/tex]

Answer:

6p

Step-by-step explanation:

9p - 3p needs to have the like terms combined. 9 - 3 is 6, and since you have to keep the p, the answer is 6p.

Answer:

Step-by-step explanation:

Given:

a. compounded semiannually, n = 2

b. compounded quarterly, n = 4

c. compounded monthly, n = 12

d. compounded continuously

Answer:

A

Step-by-step explanation:

count both sides divide by missing pieices

Answer:

8 vehicles

Step-by-step explanation:

Given: Monthly salary of salesperson is $2400

         Incentive of salesperson is $250 per vehicle sold.

First, lets compute income to earned apart from salary.

∴ Deduct salary from the target amount

$2000 need to be earned only through incentive, which is $250 per vehicle sold.

Now, solving to get number vehicles to be sold to earn $2000 as incentive.

Number of vehicle=

8 vehicles need to be sold by salesperson to get total earning as $4400.

Answer:

Step-by-step explanation:

the lengths of the line segments

Answer:

if you want to know the x is.

Step-by-step explanation:

(180°－4x)+(180°－6x)+2x=180°

x=22.5°

Answer: 22/3 I think

sorry if it’s wrong

Answer:

7 1/3

i hope this helps you can do it

Answer:

m/4

Step-by-step explanation:

3/14   2/7 1/2

Step-by-step explanation:

divide all of them seprately to get your decimal amount

Answer:

When putang ina mo one said i hated yepero mahal kita yiee kilig to the bones ang potcha haha

Answer:

b

Step-by-step explanation:

mark me as brainliest have a great day

Answer:

D 130º

Step-by-step explanation:

3x-70=x+10

so 2x-70=10

x=40

Answer:

Step-by-step explanation:

[tex]81p^8-100=(9p^4)^2-10^2\]\]=(9p^4+10)(9p^4-10)\]\[=((3p^2)^2-(\sqrt{10} )^2])\]\\=(3p^2+\sqrt{10} )(3p^2-\sqrt{10} )\\[/tex]

Answer:

4x – 2y = 18

Step-by-step explanation:

Hope this helps!

To find the slope, we will use the slope formula and two points that are on the line. You can choose any two points as long as they are on the line.

Point 1 = (0, -2)

Point 2 = (-2, 0)

Slope-Formula: (y2 - y1) / (x2 - x1)

Now that we know our two points and the slope formula, all that's left to do is plug the points into the formula and simplify.

(0 - - 2) / (-2 - 0)

(2) / (-2)

-1

The slope of the line is -1.

Hope this helps!! :)

Answer: -1

Step-by-step explanation:

-6/6= -1

A number is divisible by another number if the quotient is a counting number and the remainder is 0.