f) Two numbers are in the ratio 5:4. If they differ by 12, what are the numbers?
g) The multiplicative inys​

Answer:

The equation of the parabola

( y +2 )² = 16 (x-2)

Step-by-step explanation:

Step(i):-

Given the focus of the Parabola ( 6, -2 )

we know that the Focus of the Parabola

                ( h + a , k ) = ( 6 , -2 )

Comparing

              h + a = 6 ...(i)

          and  k = -2

Given directrix of the parabola

           x = -2

The  directrix of the parabola  x = h - a = -2

        h - a = -2 ...(ii)

Adding (i) and (ii) equations , we get

    h + a + h-a = 6 -2

                2 h = 4

           ⇒    h  = 2

Substitute 'h' = 2 in equation (i) , we get

          h + a = 6

          2 + a = 6

                a = 6 -2 =4

Step(ii):-

The equation of the parabola having Vertex ( h,k) = (2 , -2) and a = 4

[tex](y-k)^{2} = 4a ( x-h)[/tex]

( y - (-2))² = 4 (4) ( x -2)

Final answer:-

The equation of the parabola

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

( y +2 )² = 16 (x-2)

Answer:

Joey will pay $3.36 for 2.4 ounces of almonds.

Step-by-step explanation:

Given that:

Cost of almonds = $1.40 per ounces

Number of ounces bought by Joey = 2.4 ounces

Cost of 2.4 ounces = Ounces of almond * Cost per ounce of almond

Cost of 2.4 ounces = 2.4 * 1.40

Cost of 2.4 ounces = $3.36

Hence,

Joey will pay $3.36 for 2.4 ounces of almonds.

Answer:

134

Step-by-step explanation:

You must add the angles together:

67+67=134

Answer:

134

Step-by-step explanation:

Answer:

I believe it should be 216.54

Step-by-step explanation:

Multiply $200.5 by .08 (the tax) and then add the answer from the multiplication to the $200.5.

A percentage is a way to describe a part of a whole. The cost of a bicycle with tax included is $216.54.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given Megan bought a bicycle that cost $200.50 at a sporting goods store. The sales tax on the bicycle was 8%. Therefore, the total cost will be,

Total cost = $200.50 + 8%

                = $200.50 + (0.08 × $200.50)

                = $216.54

Hence, the cost of a bicycle with tax included is $216.54.

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Answer:

D

Step-by-step explanation:

Where f(0) is or x=0, y= 4

Answer:

4

Step-by-step explanation:

( d ). 4. is correct

we have. to see x (0) n on the 0 we have. to find the no: of y that cross the on it

Answer:

The percent increase is 12%

Step-by-step explanation:

Hope this helps

Answer:

12%

Step-by-step explanation:

Answer: 9 = 6t

how many t's are there in the model? there are 6 ts. 6t makes 9, so 9 is equal to 6t.

ps. the equation could also be 6t = 9 but its basically the same thing (:

Answer:

74 degrees 79 degrees

Step-by-step explanation:

or 6

Answer:

74 and 79 degrees

Step-by-step explanation:

i just did it

Answer:

if I'm not worng it's plane

Answer:

x=5

Step-by-step explanation:

According to SSS, RPS and RPQ should be similar angles. Since the length RP is the same, then RQP and RSP should be similar too. Therefore PRS and PRQ should be similar too. Since QP and RS are the same (7) then QR and PS needs to be same in length too.

2x+3 = 4x-7

10 = 2x

x=5

Answer:

X=5

Step-by-step explanation:

2x+3= 4x-7

-4x      -4x

-2x +3 = - 7

-3            -3

-2x      =    -10

divide -10 by -2x

which would give you your answer X=5

Answer:

C.

Step-by-step explanation:

12x+3 add them together

Answer:

about 13 marbles

Step-by-step explanation:

Answer:

B. 36

Step-by-step explanation:

The equation in question is not well written. Let the equation be;

x²+12x+5 = 0

In order to know what number should be added to both sides of the equation, we will take the square of the half of coefficient of x as shown;

Coefficient of x = 12

Half of 12 = 1/2(12) = 6

Square of 6 = 6² = 36

Hence the required number to add to both sides of the equation by completing the square method is 36

Answer:

why

Step-by-step explanation:

Answer:

612

Step-by-step explanation:

To find this answer, you can invert the equation:

452.88 = 0.74x

x = 452.88 / 0.74

x = 612

The number 452.88 is 74% percentage of the number 612.

percentage, a relative value indicating hundredth parts of any quantity.

We have to find the number of 452.88 is 74%

Let x be the number

74/100×x=452.88

74x/100 = 452.88

Multiply both sides by 100

74x=45288

Divide both sides by 74

x=45288/74

x=612

Hence, 452.88 is 74% of the number 612.

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Answer:

85

Step-by-step explanation:

You have to subtract 150-65 to find the other interior angle which would be 85, unless there is another option then I am fairly sure this is the answer.

Hope this helps :)

Answer:

95*

Step-by-step explanation:

180-150=30

30+65=95

180-95=85

180-85=95

Answer:B. 8 dozen

Step-by-step explanation:

Answer:

B 8 Dozen

Step-by-step explanation:

Hope This Helps! :)

z=-3

Step-by-step explanation:

Answer:

z = -3

Step-by-step explanation:

10z + 3 = 9z

10z + 9z - 3

10z - 9z = -3

z = -3

Answer:

y^12/216x^6

Step-by-step explanation:

First Im distrubiting the powers.

((6^-3)[(x^2)^-3][(y^-4)^-3])

(216^-1)(x^-6)(y^12)

Move the negative exponents

y^12/216x^6

Answer:

Step-by-step explanation:

a) 7/5, 3/10, -13/4,-27/1,0

b)36/1,-45/1,21/5, -4/5, 91/6,-2/9

Answer:

4x-1

Step-by-step explanation:

The working is shown in the above photo

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim ( h tends to zero ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{2(x+h)^2-(x+h)-(2x^2-x)}{h}[/tex]

     = lim ( h to zero ) [tex]\frac{2(x^2+2hx+2h^2)-x-h-2x^2+x}{h}[/tex]

     = lim ( h to zero ) [tex]\frac{2x^2+4hx+2h^2-h-2x^2}{h}[/tex]

     = ( lim h to 0 ) [tex]\frac{4hx+2h^2-h}{h}[/tex]

     = ( lim h to 0 ) [tex]\frac{2h(2x+h)-h}{h}[/tex]

     = lim ( h to 0 ) [tex]\frac{2h(2x+h)}{h}[/tex] - [tex]\frac{h}{h}[/tex] ← cancel h on numerator/ denominator of both

     = lim( h to 0 ) 2(2x + h) - 1 ← let h go to zero

f'(x) = 4x - 1

Answer:

A

Step-by-step explanation:

V = pie x r*2 x h

Answer:

Step-by-step explanation:

Function rule:

y = 10(0.95)ˣ

If a function is given as,

y = a(b)ˣ

a represents 'Initial value'

b represents the growth factor

If 0 < b < 1, function is a decay function.

If b > 1, function is a growth function.

For 2 = 10(0.95)ˣ,

Here, b = 0.95 which is in the interval of 0 < 0.95 < 1

So it's a decay function.

[tex]\frac{2}{10}=(0.95)^x[/tex]

log(0.2) = log[(0.95)ˣ]

log(0.2) = x[log(0.95)]

-0.6989 = -x(0.0223)

x = 31.44

x ≈ 31

Meaning → For 'x' = 31, value of the function is 2.

For 8 = 10(0.95)ˣ,

0.8 = (0.95)ˣ

log(0.8) = log(0.95ˣ)

log(0.8) = xlog(0.95)

x = 4.35 ≈ 4.4

Means, at x = 4.4, value of the function was 8.

Answer:

Spelling

Explanation:

Not gonna bother explaining the joke, I'm not that boring.

Answer:

The slope is 2/3 and the y intercept is -1

Step-by-step explanation:

you find the y-intercept (where the line passes through the y-axis) which is -1 and you go straight up 2 spots and then you go over 3 spots. Slope is rise over run. You could also use the slope formula y2-y1/x2-x1. I hope this made sense.

Answer:

12.60.

Step-by-step explanation:

12.00 × 5%=.6

,6 + 12.00= 12.60