Find the vertex of the quadratic function. x²-36=f(x)

Answer:

68 pounds a month

Step-by-step explanation:

so what i did is subtract 85 because that was the starting weight, now we have 408 I divided 6 (how many months) and got 68.

Answer:

Equation to find the slope

[tex]\frac{y2-y1}{x2-x1} =\frac{-9-0}{3-0} = -9/3 = -3x[/tex]

y=-3x

hope that answers your question

Step-by-step explanation:

Answer: C. y = -3x

Step-by-step explanation:

Since the line runs through the origin (0, 0), we don't have to write a y-intercept. To calculate the slope, we determine the change in y value over the change in x value.

Looking at the graph, we see that for every +1 x, we have -3 y, so the slope is -3, which we multiply by x in the equation.

Answer:

160 minutes

Step-by-step explanation:

Find out how many minutes are in a hour. 60 min in one hour. 60 x 2 = 120

120 + 40 = 160

Answer:

1. <

2. <

Step-by-step explanation:

Have a good day :)

Answer:

40

4

Step-by-step explanation:

a.) because the sides are the same their angles must be too

let x be the angle

100+x+x=180

x=40

b.) because the angles are all the same their sides must be too

4

Answer:

Solution given:

length of cube[a]=6ft

volume of cube =a³=6³=216ft³

again

For cylinder

d=4ft

r=2ft

h=6ft

volume of cylinder=πr²h=π×2²×6=75.4ft³

Now

remaining volume=216-75.4=140.6ft³

is a required answer.

Answer:

There are 5 shifts per day

Step-by-step explanation:

7 1/2 is equal to 7.5 and 1 1/12 is equal to 1.5

7.5/1.5= 5

Answer:

Volume of Cylinder X = 712 cm³

Step-by-step explanation:

Given:

Volume of Cylinder Y = 89 cm³

Radius of cylinder Y = 2 cm

Radius of cylinder X = 4 cm

Find:

Volume of Cylinder X

Computation:

We know that, Cylinder X and Cylinder Y are similar

So,

Volume of Cylinder X / Volume of Cylinder Y = [Radius of cylinder X / Radius of cylinder Y]³

Volume of Cylinder X / 89 = [4/2]³

Volume of Cylinder X / 89 = [2]³

Volume of Cylinder X / 89 = 8

Volume of Cylinder X = 8 x 89

Volume of Cylinder X = 712 cm³

Answer:

let the number be x

5(x+27)>6(x+26)

5x+135>6x+156

5x-6x>135-156

-x>-21

×<21

(21,+00)

Answer:

5 bottles

Step-by-step explanation:

a total of $0.80 was paid

6 $0.05 bottles were returned= $0.05×6= $0.30

remainder= $0.80-$0.30= $0.50

amount of $0.10 bottles returned= $0.50÷$0.10= 5

Answer:

Exact form:

[tex]x=\sqrt{17} +3,-\sqrt{17} +3[/tex]

Step-by-step explanation:

Take the root of both sides and solve.

Answer:

Rectangle area:

Given:

Find w:

Perimeter is the sum of side lengths:

P = 2 1/4 + 5 2/5 + 5 17/20 =

     2 + 5 + 5 + 1/4 + 2/5 + 17/20 =

     12 + 5/20 + 8/20 + 17/20 =

     12 + 30/20 =

     12 + 1.5 =

     13.5 ft

Total cost:

Answer:

x = 748 inches

Step-by-step explanation:

.0254 meters in 1 inch

set up a proportion:

.0254/1 = 19/x

cross-multiply:

.0254x = 19

x = 19/.0254

x = 748.03

Answer:

[tex]y= (x -4)^2 - 1[/tex]

[tex]Vertex = (4,-1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 6x+13[/tex]

Required

7 units left and 5 units down

First, we have: [7 units left]

The rule is:

[tex](x,y) \to (x-7,y)[/tex]

So, we have:

[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]

Next, we have: [5 units down]

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]

[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]

Rewrite as:

[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]

Expand

[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]

Collect like terms

[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]

[tex]y = x^2 -8x +15[/tex]

To write in vertex form, we have

Subtract 15 from both sides

[tex]y -15= x^2 -8x[/tex]

Divide (-8) by 2; Add the square to both sides

[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]

[tex]y -15+ 16= x^2 -8x + 16[/tex]

[tex]y +1= x^2 -8x + 16[/tex]

Expand

[tex]y +1= x^2 -4x - 4x + 16[/tex]

Factorize

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

Factor out x - 4

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

Rewrite as:

[tex]y +1= (x -4)^2[/tex]

Make y the subject

[tex]y= (x -4)^2 - 1[/tex]

The vertex is:

[tex]Vertex = (4,-1)[/tex]

Answer:

the shape would be a triangle

Step-by-step explanation:

any horizontal slice would create a triangle

Answer:

uncountable

Step-by-step explanation:

----------------uncountable-----------------

Answer:

No

Step-by-step explanation:

Look at the shape a polygon is 5 sides while a trapezoid has only 4 sides

Answer:

No. :) Reason: Trapezoids have to have at least on pair of parallel lines; this polygon has none.

Answer: 46

Step-by-step explanation:

4(9)+10

36+10

46

Answer:

46

Step-by-step explanation:

4y + 10

4(9) + 10

36 + 10

46

Answer:

1

Step-by-step explanation:

The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.

[tex]\frac{Numerator}{Denominator}[/tex]

Answer:

The numerator is 1.

Step-by-step explanation:

The numerator is the number above the fraction bar; the denominator is below.

[tex]\frac{denominator}{numerator} -\frac{1}{2}[/tex]

Answer:

Please read explanations

Step-by-step explanation:

By direct calculations, we know that the nearest perfect square to 29 is 25

The next is 36;

Hence, since 29 is between 25 and 36; it is only proper that the square root of 29 is also between the square roots of both numbers

So, we can conclude that the square root is between 5 and 6

For actual values by calculating, we have this as 5.38 which to the nearest number is 5.4

so, we have the dot at the next 4 small lines after the number 5

Answer:

A: FG = ½GC

Step-by-step explanation:

Since AD, BC and CD are medians concurrent at G, it means G is the centroid.

Now, when median passes through the centroid, the centroid divides the median in the ratio of 2:1.

Also,that the median touches the side of the triangle at their midpoints.

Thus,by inspection, we can say that;

GD = ⅓AD

GC/FG = 2/1

Thus, GC = 2FG and FG = ½GC

BG = ⅔BE

Tbus,looking at the options given and what we have gotten in proof, we can say only FG = ½GC is correct.

1999+1001=3000 1091+1009=3000 2000+1000=3000

3000-1001=1999 3000-1009=1091 3000-2000=1000

Answer:

asasasdcvxcvszs

Step-by-step explanation:dsadsdasz

Answer:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Step-by-step explanation:

Answer: factors of 10 are 1, 2, 5, and 10.

Step-by-step explanation: You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10.

Answer:

1,2,5,10

Step-by-step explanation:

1 x 10 = 10

2 x 5 = 10

10 x 1 = 10

Answer:46%

Step-by-step explanation:

Answer:

23/50 or 46%

Step-by-step explanation:

I just added red and purple out of the total(red+purple/total=11+12/50=23/50)

then I multiplied the fraction by 2 to get out of 100 for the percentage(23/50*2=46/100=46%)

No 4 is not a factor of 93 :)

let me know if this helped<3

Explanation: a factor is whether or not a number can be multiplied with another number, 4 cannot be multiplied by any number to evenly come out as 93, the way you can check this is by dividing 93 by 4, if it comes out as a whole number with no decimal or remainder than the number is a factor if it has a decimal or remainder it is not a factor

Answer:

No.

Step-by-step explanation:

The first method entails simply listing all factors of 93 and then seeing if 4 is one of them. The factors of 93 are 1, 3, 31, and 93. Looking at the list, you see that 4 is not on the list, and the answer to "is 4 a factor of 93?" is therefore no. For the second and perhaps easier method, we divide 93 by 4 to see if the quotient is a whole number or fractional number. If the quotient is a whole number, then 4 is a factor of 93. If the quotient is a fractional number, then 4 is not a factor of 93. 93 divided by 4 is 23.25 which is a fractional number. Thus, once again, the answer to "Is 4 a factor of 93?" is no.

Answer:

Step-by-step explanation: