Complete the table of input/output pairs for each function

Answer:

A. [tex] {5}^{ \frac{1}{4} } [/tex]

Step-by-step explanation:

[tex] \huge \sqrt[4]{5} = {5}^{ \frac{1}{4} } [/tex]

Answer:

7.55 miles

Step-by-step explanation:

Given that :

Distance of descent = 1.5 miles

New elevation point after descent = 6.05 miles

The initial elevation of the plane before descent will be :

New elevation point after descent + Distance of descent

(6.05 miles + 1.5 miles)

= 7.55 miles

Answer:

The domain is -12, 0, 2, 8.

Step-by-step explanation:

The domain is the set of all possible x-values. The x-values are the first numbers in a point.

Answer:

I'm not sure but I think it is A.

The number of Ava's coins is x. The number of Ava's coins is more than 15. so x is more than 15.

x > 15

Answer:

A

Step-by-step explanation:

Since Ava has more than X coins in her collection then 15 is the amount she used to have so

x> 15

Answer:

D = 41

Step-by-step explanation:

y = ax² + bx + c

The discriminant D = b² - 4ac tells the types of roots the equation has.

If D < 0 , then quadratic equation has no real roots, has two imaginary roots.

If D = 0 , then quadratic equation has one real root.

If D > 0 , then quadratic equation has two distinct real roots.

~~~~~~~~~~~~

x² + 5x - 4

a = 1, b = 5, c = - 4

D = 5² - 4(1)(- 4) = 25 + 16 = 41

Answer:

8cm

Step-by-step explanation:

AB = CD

5x+7 = 7x-9

2x = 16

Answer:

3.9 x $1.80

Step-by-step explanation:

3.9 x $1.80

Answer:

P=7

Step-by-step explanation:

P=x-y

 =-12-(-19)

 =-12+19

 =7

Answer:

d. 132

Step-by-step explanation:

12 + 8 x 15

do 8 x 15 first because PEMDAS

12 + 120

132

9514 1404 393

Answer:

  (b)  13.5

Step-by-step explanation:

The upper vertex would be ...

  3/2(3, 3) = (4.5, 4.5)

and the right vertex would be ...

  3/2(4, 0) = (6, 0).

The base of the larger triangle would be 6, and its height would be 4.5. Then the area is ...

  A = (1/2)bh

  A = (1/2)(6)(4.5) = 13.5 . . . area of dilated triangle

Answer:

1057.55

Step-by-step explanation:

10,575.50 / 10 = 1057.55

Answer:

-1/2 ignore this widjsnwnsisiahwndmd

Answer:

cost of a box is $3.5

Step-by-step explanation:

given data

sold box = 18

earned = $136.50

solution

we consider here number of boxes of cookies is x

and

for we get Tyler sold  cookies box so number of boxes we divide 702 cookies among 18 is

Tyler sold  = [tex]\frac{702}{18}[/tex]

Tyler sold  = 39 boxes

and

now we consider here y as cost of each box of cookies,

so for cost or sale price of the cookie boxes here we divided 136.50 dollars among 39 boxes

so

cost of each box = [tex]\frac{136.5}{39}[/tex]

cost of each box = 3.5

Thus, the cost of each box was 3.5

Answer:

-12

Step-by-step explanation:

To decrease by -8 is to subtract, therefore x-8= -20. When you add 8 on both sides, the answer is -12.

Answer: Racheal ate [tex]\dfrac{5}{18}[/tex] of the snack mix.

Step-by-step explanation:

Given : Rachel has [tex]\dfrac23[/tex] pound of snack mix..

If she ate [tex]\dfrac5{12}[/tex] of the snack mix.

Then, Quantity of snack mix eaten by Rachel = [tex]\dfrac5{12}\times\dfrac23[/tex]

[tex]=\dfrac56\times\dfrac13\\\\=\dfrac{5}{18}[/tex]

Hence, Racheal ate [tex]\dfrac{5}{18}[/tex] of the snack mix.

Answer: No the students work is not correct. Because you are using distribution. Which means that 3 has to multiply the y2 and 2 not just the y2! And after you distribute it you need to simplify!

Step-by-step explanation:

Answer:

(3 – 6y²)(y² + 2) = - 6y⁴ - 9y² + 6

Step-by-step explanation:

Given the expression

3-6y² and y²+2

We have to find the product of 3-6y² and y²+2

Clara's Solution:

(3 – 6y²)(y² + 2) = 3(y²) + (–6y²)(2)

                          = 3y² – 12y²

                          = -9y²

NO!

The student's work is INCORRECT!

Clara did not imply the correct distribution of multiplying the terms in the first step.

Here is the correct solution:

(3 – 6y²)(y² + 2) = 3(y²) + (–6y²)(2) + (3)(2) + (–6y²)(y²)

                          = 3y² – 12y² + 6 - 6y⁴

                           = - 6y⁴ - 9y² + 6

Therefore,

(3 – 6y²)(y² + 2) = - 6y⁴ - 9y² + 6

Answer:

105cm2

Step-by-step explanation:

area= area f rectangle + area of trapezium

        = (6x9)+( [tex]\frac{6+11}{2}[/tex]x6)

         = 54+51

        = 105 cm2

Answer

B. 3, 915, 700, 000

Step-by-step explanation:

You are correct.

3.9157E + 9 means that there are 9 digits after the decimal point.

Answer:

Yes, they are

Step-by-step explanation:

y = -9x

Here y∝ x

Where -9 is constant of proportionality

If "y" increases by factor of 2, then "x" will also increases by factor of 2. Hence, y and x are " directly proportional" to each other.

Answer:

Cost price of the fan is [tex]\text {Rs. 470.59}[/tex].

Step-by-step explanation:

Given: A man sold a fan for  [tex]\text{Rs.}\:400[/tex]. He incurred a loss of [tex]15\%[/tex].

To find: The cost price of the fan

Solution:

We have,

Selling price, S.P.,  of the fan [tex]= \text{Rs.} 400[/tex]

Loss [tex]=15\%[/tex]

We know that [tex]\text {Loss\%}=\frac{\text{C.P.-S.P.}}{\text{C.P.}}\times100\%[/tex]

Now let the C.P. of the fan be [tex]\text{Rs.} \:x[/tex]

So, [tex]15=(\frac{x-400}{x})\times 100[/tex]

[tex]\implies 15x=100x-40000[/tex]

[tex]\implies 100x-15x=40000[/tex]

[tex]\implies 85x=40000[/tex]

[tex]\implies x=\frac{40000}{85}[/tex]

[tex]\implies x= 470.59[/tex]

Hence, the cost price of the fan is [tex]\text {Rs. 470.59}[/tex].

Answer:

The slope is 3.

Step-by-step explanation:

In the line y=3x-1, the slope would be 3.

Answer:x=5

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

The graph will begin at the point (-3, -1)  and will curve to the right, passing through the y axis at (0, (1 +√3)). It will slowly rise to the right.

Domain  is [-3, ∞).

Range is [1, ∞).

Step-by-step explanation:

The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin. We can use the coordinate plane to graph points, lines

Answer:

4 sqrt 2

Step-by-step explanation:

Answer:

4 sqrt(2)

Step-by-step explanation:

This is a special triangle 45, 45, 90 therefore you just multiply the sides by sqrt(2) to find the hypotenuse so it will be 4 sqrt(2)

Another way to do it is by Pythagorean triangle which will still lead to 4 sqrt(2)