2. Write an equation of the parabola with vertex (3, 1) and focus
(3, 5)

Answer:

x + y = 15

0.5x + 0.65y = 9

Step-by-step explanation:

x = number of oranges

y = number of apples

total of apples and oranges is 15 so x + y = 15

total cost of apples and oranges is $9 so 0.5x + 0.65y = 9

Calculation

y = 15 - x

0.5x + 0.65(15-x) = 9

0.5x - 0.65x + 9.75 = 9

-0.15x = - 0.75

x = 5

y = 15 - x = 15 - 5 = 10

[tex]-6y -31 =5\\\\\implies -6y = 5+31 = 36\\\\\implies y = -\dfrac{36}6 = -6[/tex]

Step-by-step explanation:

...........y=-6.........

Answer:

2

Step-by-step explanation:

0.6m-1.2+m=2

1.6m-1.2=2

1.6m=3.2

m=2

Answer:

d = 6

Step-by-step explanation:

sorry for late awenser

The value of the equation is d = 6

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

4 ( d - 5 ) - 6 = 2 ( 8 - d ) - d   be equation (1)

On simplifying the equation , we get

4d - 20 - 6 = 16 - 2d - d

On further simplification , we get

4d - 26 = 16 - 3d

Adding 3d on both sides of the equation , we get

7d - 26 = 16

Adding 26 on both sides of the equation , we get

7d = 42

Divide by 7 on both sides of the equation , we get

d = 6

Therefore , the value of d is 6

Hence , the equation is d = 6

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Answer:

Step-by-step explanation:

3.6

Answer:

x = - 5, x = 1

Step-by-step explanation:

let f(x) = 0 , that is

(x + 5)(x - 1) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 1 = 0 ⇒ x = 1

Plot the points - 5 and 1 on the number line

Answer:

Yes it is possible.

You need to change your mindset first.

If you look in the mirror everyday and call yourself ugly. Theres no way you are going to change the way you are.

But if you look in the mirror and be positive about yourself evantually you will start thinking diffirent about yourself.

Its all in the mindset.

Step-by-step explanation:

Answer:

The value of -2 is LESS THAN the value of 1.5 because -2 lies to the LEFT of 0 and 1.5 lies to the RIGHT of 0 on the number line

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Split the trapezoid into parts, a rectangle and a triangle. The dimensions of the rectangle will be 3 and 8, so 3*8=24. 24 is part of the answer. The dimensions of the triangle are 4 and 3, and 4*3/2 is 6, so 6 is the other part of the answer. 24 + 6 = 30.

Answer:

9  < x  < 25

Step-by-step explanation:

Answer:

m + 8 ≥ -8

Step-by-step explanation:

Answer:

m+8≥-8

Step-by-step explanation:

Just ask.

Hope this helps!

Answer:

Yes because the slopes are negative reciprocals of each other.

Step-by-step explanation:

The slope of line B is: 1/3

(-2, -4) and (1, -3)

(-3+4)/(1+2) = 1/3

The slope of line A is: 3

(-3, 0) and (-2, -3)

(-3-0)/(-2+3) = -3

Answer:

its c

Step-by-step explanation:

Answer:

902,800,000

Step-by-step explanation:add the 5 zeros from 100,000 to 9,028

Answer:

y=4x-8

Step-by-step explanation:

m=4 (1,-4)

-4=4(1) + c

-4=4+c

-4-4=c

-8=c

y=4x-8

Answer: y = 4x - 8

Step-by-step explanation:

The best way to go about this is to first put the information you know into point-slope form, which is:

[tex]y-y_{1} =m(x-x_{1})[/tex]

[tex]y_{1}[/tex] and [tex]x_{1}[/tex] represent the values of our point (1, -4), so:

[tex]y_{1}=-4[/tex], and [tex]x_{1}=1[/tex].

[tex]m[/tex] represents our slope of 4, so:

[tex]m=4[/tex]

From this, we can plug in our values:

[tex]y-(-4)=4(x-1)[/tex]

A little simplification and distrobution takes us to this:

[tex]y+4=4x-4[/tex]

Then simply subract 4 from both sides to get this:

[tex]y=4x-8[/tex]

An easier way to reason this is to visualize the line in your head and figuring out what the y-intercept is so you can go strait into the [tex]y=mx+b[/tex] form where b is the y-intercept.

Answer:

Solid line

Step-by-step explanation:

This means that it is equal. The line under the less than sign means it would be a solid line.

Answer:

y= 1/6x + 8

Step-by-step explanation:

[tex]\text{Given that,}\\\\x -6y = -48 \\\\\implies x +48 = 6y\\\\\implies y =\dfrac{x +48}6\\\\\implies y =\dfrac x6 + \dfrac{48} 6\\\\\implies y = \dfrac 16 x + 8\\\\\text{This is the slope-intercept form of the given equation(y =mx +b)}.[/tex]

[tex]i^7 + \dfrac 1{i^4}\\\\=i^2 \cdot i^2 \cdot i^2 \cdot i + \dfrac 1{i^2 \cdot i^2}\\\\=(-1)(-1)(-1)i + \dfrac 1{(-1)(-1)} ~~~;[ i^2 = -1] \\\\\ = (-1)^3 i+ \dfrac 1{(-1)^2} \\\\=-i+1[/tex]

Answer:

12x

Step-by-step explanation:

cuz i said so

Answer I cant read the thing sorry

Step-by-step explanation:

hoped that hepled:)

Answer:

A

Step-by-step explanation:

Seems like a reasonable answer choice

Answer:

1.   slope = 6,  y-intercept = 11

2.  slope = 1,  y-intercept = 6

Answer:

you are correct

Step-by-step explanation:

6 is the slope and 11 is the y-intercept

1 is the slope and 6 is the y-intercept

Answer: D and B

Step-by-step explanation:

D: 10/10 can be simplified to 1/1, or 1. 1 times 13 is equal to 13.

B: 4 x 13 is simply 52.

Hope this helps!

A. 5/6 x 13 = 10.83

B. 4 x 13 = 52

C. 3/4 x 13 = 9.75

D. 10/10 (1) x 13 = 13

B. 4 x 13 & D. 10/10 (1) x 13 are your answers.

We need to differentiate this with respect to x to see if we can find an expression for the derivative of y at various points.  That will be the slope of the tangent to the curve.  Then we want to see where that derivative might be infinite -- i.e., where the tangent is vertical.

It's not written as a function, but it can still be differentiated using the chain rule:

x2 + xy + y2 = 3

(2x) + (x dy/dx + y dx/dx) + (2y dy/dx) = 0

(I used parentheses to show the differentiation of each term in the original equation.)

2x + x dy/dx + y + 2y dy/dx = 0

2x + y = -x dy/dx - 2y dy/dx

2x + y = dy/dx (-x -2y)

-(2x + y)/(x + 2y) = dy/dx

We have the derivative of y, but it's defined partly in terms of y itself.  That's OK.  Let's go on...

So where would the slope be infinite?  That would happen when x + 2y = 0, or y = -x/2

Let's plug that in for y in the original equation to find points where that's the case.

x2 + xy + y2 = 3

x2 + x(-x/2) + (-x/2)2 = 3

x2 - x2/2 + x2/4 = 3

3x2 / 4 = 3

x2 = 4

x = ±2

So we have two x values where the tangent might be vertical.  Let's plug them into the equation and see what the y values are.  First x = 2...

x2 + xy + y2 = 3

4 + 2y + y2 = 3

y2 + 2y + 1 = 0

(y + 1)2 = 0

y = -1

So at the point (2, -1) the tangent is vertical.

Now try x = -2...

x2 + xy + y2 = 3

4 - 2y + y2 = 3

y2 - 2y + 1 =0

(y - 1)2 = 0

y = 1

So at the point (-2, 1) the tangent is vertical.

Use midpoint theorem :- The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also 'half of the length of the third side'.

So,

2x - 6 = ½ (3x - 6)

2x - 6 = 3x/2 - 3

2x - 3x/2 = -3 + 6

½ x = 3

x = 3 × 2

x = 6

______

Hope it helps ⚜

Answer:

420 minutes

Step-by-step explanation:

first I subtracted 30 from 59.4 and got 29.4

then I divided 29.4 by .07 and got 420

so there you go hope it helped

Answer:

14 feet

Step-by-step explanation:

You find this answer by adding each side. The arrow tells us that each side of a square is 1 foot, so you add up the outer sides of each square

Answer:

The physical activity calculator helps calculate minutes of activity and breaks down the types of activities performed every week. The calorie calculator doesn’t keep track of all activities. However, it calculates calorie expenditure. A new calculator might be a combination of the two calculators. It’d be a two-step process. People would be able to enter their age, gender, weight, height, and any medical factors so that they can ensure that their calorie calculations are accurate. Then, they’d be able to track the calories expended each day for a week by adding their activities for the whole day, from sitting to exercising. This information would give them an accurate portrayal of calorie expenditure and estimated caloric requirement.

exact answer

Step-by-step explanation:

Answer:

by seeing how the things they are doing and effecting them and then calulating them to add them up so i can see the amount of thier activity caused them to decrease or increase themselfs

Step-by-step explanation:

own explaination just incase teacher does suspect the answer

to be copied :)

Answer:

y=[tex]\frac{1}{5}[/tex]x is linear

Step-by-step explanation:

4x-3y=7y+2x

collect like terms

4x-3y-7y-2x=0

2x-10y=0

simplify

x-5y=0

rewrite it in slope intercept form

y=[tex]\frac{1}{5}[/tex]x which is the equation for a straight line

Answer:

4

Step-by-step explanation: