So how do I graph y=2/5x+3

Answer:

[tex]y= -\frac{5}{49}x^{2}+5[/tex]

Step-by-step explanation:

In order to solve this, we need to start by drawing a sketch of what the problem looks like (see attached picture).

From the picture, we can see that the graph of the equation should be a parabola with a vertex located at the point (0,5) and x-intercepts located at (-7,0) and (7,0) respectively.

So, there are two ways in which we can build a quadratic equation:

Standard form:

[tex]y=ax^{2}+bx+c[/tex]

or

Vertex form:

[tex]y=a(x-h)^{2}+k[/tex]

Since we already have the vertex and two points on the equation, we can directly use the vertex form. Where vertex is located at the coordinates (h,k)

So in this case: h=0 and k=5, which simplifies our equation a lot:

[tex]y=a(x-0)^{2}+5[/tex]

[tex]y= ax^{2}+5[/tex]

So we only need to find the value of a for our equation to be complete. We can use either x-intercept to find this. Let's use the point (7,0) so we get:

[tex]0=a(7)^2+5[/tex]

and now we can solve for a:

[tex]-5=49a[/tex]

[tex]a=-\frac{5}{49}[/tex]

so this completes our equation:

[tex]y= -\frac{5}{49}x^{2}+5[/tex]

whose graph looks like the one in the attached picture.

Answer:

about  3.21 hours each

Step-by-step explanation:

First divide 330 by 6 since there are six people.

Every person needs to do 55 decorations.

I would take the average of 2-4 minutes and multiply it by 55.

55 x 3.5 = 192.5 minutes

to convert to hours divide by 60.

192.5 / 60 = 3.21

Answer:

Step-by-step explanation:

The first term (a) = 9

the 37th term is what we want (n = 37)

d = - 6

t_37 = 9 + (n - 1) * (-6)

t_37 = 9 + 36 * - 6

t_37 = 9 - 216

t_37 = - 207

Answer:

$38.25

Step-by-step explanation:

Answer:

Sale Price: $85 * 0.55 = $46.75

Step-by-step explanation:

Answer:

6.26

Step-by-step explanation:

Integer Part: 6

Fractional Part: 258

If the last digit in the fractional part of 6.258 is less than 5, then simply remove the last the digit of the fractional part.

If the last digit in the fractional part of 6.258 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.

If the last digit in the fractional part of 6.258 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.

If the last digit in the fractional part of 6.258 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00.

With 6.258, rule B applies and 6.258 rounded to the nearest hundredth is 2.26

2.03 is the answer to this question, unless I'm dumb too

Answer:

2.03

:) have a nice day

Step-by-step explanation:

Answer:

He originally spent 120$

He made 12 extra dollars.

Step-by-step explanation:

To solve this I turned the 110% into a decimal.

So I divided 110 by 100 and got 1.1

In order to find the original number you would then need to divide the total cost of the bicycle and helmet together by 1.1

So, 116 + 16 = 132

132/1.1= 120

Hope this helps

Answer:

with? i dont see any pic

Answer:

Answer Choice B

Step-by-step explanation:

f(x) is just another way of saying y=.

To inverse, just flip the x & y and isolate the y variable.

[tex]x=-y^3-9\\x+9=-y^3\\-x-9=y^3\\\sqrt[3]{-x-9}=y[/tex]

Answer:

NO i do not think so because you would end with a -4 not positive because a positive times a negative is a negative so (-3,4) is not a solution.

I hope this helps sorry if am wrong

Step-by-step explanation:

Answer:

n-6

Step-by-step explanation:

Answer: If you have 2/3 cup of water and 3/5 cup of oil, how huch liquid do you have in total?

1 and4/15

Step-by-step explanation:

Answer:

15-(-26)

Step-by-step explanation:

positive is lower than negative so the remaining number will be negative.

Answer:

[tex] y = - 1x + b[/tex]

Step-by-step explanation:

The inverse of a slope is the exact opposite slope of the original. I'll show a function below where you can easily solve future problems if you need to.

[tex] - \frac{1}{m} x[/tex]

m is the slope, so for the equation above, you simply insert the original slope, being 1, in the equation.

[tex] - \frac{1}{1} x \\ - 1x[/tex]

So the inverse slope would be -1.

Answer:1/2x

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

3x3x3=9; if you break it apart, 3x3= 9, then multiply that by the last 3, which will give you 27.

Hope that helped!

It is E

Duhhhhhhhhhhhhh

Answer:

the median score would be between 510 and 520

Step-by-step explanation:

The computation of the median score is shown below

In the case of the continuous probability distribution, the median value is the mid value in which the number is equal to fall to above or below it

Here

P(X = median) = 0.5 = 50%

So the median score would be between 510 and 520

Hence, the same is to be considered

Answer: True

Step-by-step explanation:

(b2+4b+4)(-b+3)

(b2)(-b)+(b2)(3)+(4b)(-b)+(4b)(3)+(4)(-b)+(4)(3)

-b3+3b2-4b2+12b-4b+12

-b3-b2+8b+1

Answer:

k

Step-by-step explanation:

k=k

Answer:

The options are not shown, but we can craft the graph so you can find the one that matches it.

We know that:

Each neighbor pays the same, let's define this amount as A.

Last week, he walked 4 dogs, then the amount that he collected must be four times A, or:

4*A

And we know that this amount is $25, then:

4*A = $25

A = $25/4 = $6.25

Then we can write the relationship:

y = $6.25*x

where:

y = money that Liam earns.

x = number of dogs Liam walks.

The graph of this line is shown below.

Answer:

using distance formula you can solve it

Answer: 45% were completely satisfied with the car.

Step-by-step explanation: You have to divide 1080 by 2400 and then change the deciman into a percentage.