what is the difference between the number of points she needs to win and the number of points she had.

divide the number 60 into 2 parts so that if one part is divided by 6 and the other part is divided by 8 the sum of the answer w

konstantin123 [22]

If we divide 60 into say hmmm two integers, and those integers are say "a" and "b", then a + b = 60, therefore, a = 60 - b.

$\bf \stackrel{\textit{one part is divided by 6}}{\cfrac{a}{6}}~~+~~\stackrel{\textit{the other part is divided by 8}}{\cfrac{b}{8}}~~=~~9
\\\\\\
\cfrac{60-b}{6}~~+~~\cfrac{b}{8}=9\impliedby 
\begin{array}{llll}
\textit{let's multiply both sides by}\\
\textit{the LCD of 24}
\end{array}
\\\\\\
24\left( \cfrac{60-b}{6}~~+~~\cfrac{b}{8} \right)=24(9)\implies 240-4b+3b=216
\\\\\\
-b=-24\implies b=\cfrac{-24}{-1}\implies b=24$

what's the first integer? well, a = 60 - b.

5 0

3 years ago

Sebastian saved money in his piggy bank. He kept track on how much money he saved at the end of each week on the line graph belo

Luba_88 [7]

Answer:

$90

Step-by-step explanation:

Look at the number 7 on the bottom right of the graph. That means at the end of 7 weeks. Now look vertically up from there until you see a point directly above 7 weeks. Look to the left of that point, and you see that the point directly above 7 weeks is at the level of $90. That means that at the end of 7 weeks, he had $90.

4 0

4 years ago

Read 2 more answers

In a recent year, person A and person B had the two top-grossing concert tours, together generating about $300 million in ticket

Brrunno [24]

Answer: Person B had $114,000,000 and person A had $186,000,000

Step-by-step explanation:

You do $300 million divided by 2 to get 150,000,00 and then subtract 150,000,000 - 38,000,000= 114,000,000 and that's for person B and than you add the 38,000,000 to the 150,000,000 to get the amount person A had.

There you go!!!

7 0

4 years ago

Use basic facts and place value to find the quotient.<br> 450 • 9 =<br> Your answer

Yakvenalex [24]

Answer is 50 because if you going divide by 9 and also you can factor it with 5 also.

5 0

3 years ago

8.

Ahat [919]

Answer: y= 4x² +2x -4

C. y = 4x2 + 2x − 4

Step-by-step explanation: f(x)=4x^2+2x-4

Given three points

P1(-2,8)

P2(0,-4)

P3(4,68)

We need the quadratic equation that passes through all three points.

Solution:

We first assume the final equation to be

f(x)=ax^2+bx+c .............................(0)

Observations:

1. Points are not symmetric, so cannot find vertex visually.

2. Using the point (0,-4) we substitute x=0 into f(x) to get

f(0)=0+0+c=-4, hence c=-4.

3. We will use the two other points (P1 & P3) to set up a system of two equations to find a and b.

f(-2)=a(-2)^2+b(-2)-4=8 => 4a-2b-4=8.................(1)

f(4)=a(4^2)+b(4)-4=68 => 16a+4b-4=68.............(2)

4. Solve system

2(1)+(2) => 24a+0b-12=84 => 24a=96 => a=96/24 => a=4 ......(3)

substitute (3) in (2) => 16(4)+4b-4=68 => b=8/4 => b=2 ..........(4)

5. Put values c=-4, a=4, b=2 into equation (0) to get

f(x)=4x^2+2x-4

Check:

f(-2)=4((-2)^2)+2(-2)-4=16-4-4=8

f(0)=0+0-4 = -4

f(4)=4(4^2)+2(4)-4=64+8-4=68

So all consistent, => solution ok.

...............................................................................................................................................

Answer:

y = 4x² + 2x − 4

Step-by-step explanation:

The y-values go down and up again, so the parabola opens upward. That means the x² coefficient must be positive. All answer choices are eliminated except one.

y = 4x² +2x -4

There are other ways to get the answer. One of them is to use the quadratic regression function of a spreadsheet or graphing calculator. The one attached shows the points are matched by the equation ...

y = 4x² +2x -4 . . . . . as above

...............................................................................................................................................

8 0

3 years ago