# Fill in the common equivalents. 1.) 66 2/3% 2.)3/4 =_____%

QUESTION POSTED AT 15/01/2020 - 03:12 AM

QUESTION POSTED AT 15/01/2020 - 03:12 AM

Think of quarters 3 quarters is 75 cents so it is 75%

That would be C....x^2 - 7x + 6 = (x - 1)(x - 6)

ANSWERED AT 29/01/2020 - 05:40 PM

QUESTION POSTED AT 29/01/2020 - 05:40 PM

**Answer:**

**constant of variation is 10.**

**Second option is correct.**

**Step-by-step explanation:**

We have been given that y varies directly as x. Thus, we have

**y = kx.............(1)**

**k is the constant of variation**

Now, it has been given that when y is 12 then x is 1.2.

**Hence, substituting x = 1.2 and y = 12 in equation (1)**

12 = 1.2 k

**Divide both sides by 1.2**

k = 12/1.2

**k = 10**

**Therefore, constant of variation is 10.**

**Second option is correct.**

ANSWERED AT 29/01/2020 - 05:40 PM

QUESTION POSTED AT 29/01/2020 - 05:40 PM

10/5 = 1/x

cross multiply

10x = 5

x = 5/10

x = 1/2...u need 1/2 gallon per fish

cross multiply

10x = 5

x = 5/10

x = 1/2...u need 1/2 gallon per fish

ANSWERED AT 29/01/2020 - 05:40 PM

QUESTION POSTED AT 29/01/2020 - 05:40 PM

The domain is all the x values...so he domain is { 6,1,-3}

ANSWERED AT 29/01/2020 - 05:38 PM

QUESTION POSTED AT 29/01/2020 - 05:38 PM

(f + g)(x) = 3x^2 + 2x – 1

g(x) = 2x – 2

f(x) = ? ; 3x^2 + 1

Check by Substituting:

3x^2 + 1 + 2x - 2

Simplify:

3x^2 + 2x - 1

g(x) = 2x – 2

f(x) = ? ; 3x^2 + 1

Check by Substituting:

3x^2 + 1 + 2x - 2

Simplify:

3x^2 + 2x - 1

ANSWERED AT 29/01/2020 - 05:38 PM

QUESTION POSTED AT 29/01/2020 - 05:38 PM

Multiply the value by 4 for the next value.

1:4 ratio

1:4 ratio

ANSWERED AT 29/01/2020 - 05:34 PM

QUESTION POSTED AT 29/01/2020 - 05:34 PM

**Answer:**

the first term is

**Step-by-step explanation:**

We have been given the polynomial

Arrange this polynomial in descending order. **In other words we arrange this polynomial having exponent from greatest to smallest.**

**Exponents from descending order is given by**

4, 3, 2, 0

**So, the polynomial when arranged in descending order is given by**

**Therefore, the first term is **

ANSWERED AT 29/01/2020 - 05:33 PM

QUESTION POSTED AT 29/01/2020 - 05:33 PM

The value of 'y' is 57.

ANSWERED AT 29/01/2020 - 05:32 PM

QUESTION POSTED AT 29/01/2020 - 05:32 PM

F(x) = 3x³ - 12x² - 15x

1) Factor Outside: 3x( x² - 4x - 5)

Factor Inside: 3x(x + 1)(x - 5)

2) Set Equal To 0:

3x = 0

x + 1 = 0

x - 5 = 0

3) Solve:

x = 0, -1, 5

1) Factor Outside: 3x( x² - 4x - 5)

Factor Inside: 3x(x + 1)(x - 5)

2) Set Equal To 0:

3x = 0

x + 1 = 0

x - 5 = 0

3) Solve:

x = 0, -1, 5

ANSWERED AT 29/01/2020 - 05:31 PM

QUESTION POSTED AT 29/01/2020 - 05:31 PM

Unit rate is the only one that makes logic sense

ANSWERED AT 29/01/2020 - 05:29 PM

QUESTION POSTED AT 29/01/2020 - 05:29 PM

F(x) = 3x + 1

let f(x) = y

y = 3x + 1

y - 1 = 3x

3x = y - 1

x = (y - 1)/3

From y = f(x), x = f⁻¹(y)

x = (y - 1)/3

f⁻¹(y) = (y - 1)/3

f⁻¹(7) = (7 - 1)/3 = 6/3 = 2

f⁻¹(7) = 2

let f(x) = y

y = 3x + 1

y - 1 = 3x

3x = y - 1

x = (y - 1)/3

From y = f(x), x = f⁻¹(y)

x = (y - 1)/3

f⁻¹(y) = (y - 1)/3

f⁻¹(7) = (7 - 1)/3 = 6/3 = 2

f⁻¹(7) = 2

ANSWERED AT 29/01/2020 - 05:28 PM

QUESTION POSTED AT 29/01/2020 - 05:28 PM

i think its 11.45 rounded its 11.5 from what I found its this

ANSWERED AT 29/01/2020 - 05:25 PM

QUESTION POSTED AT 29/01/2020 - 05:25 PM

Solve for k for each value of the range, and you will obtain each value of k that may belong to the domain

1) k^2 +2k +1 = 25

k^2 + 2k -24 = 0

(k + 6)(k- 4) = 0

k + 6 = 0 ⇒ k = - 6

k - 4 = 0 ⇒ k = 4

2) k^2 + 2k + 1 = 64

k^2 + 2k - 63 = 0

(k + 9)(k - 7) = 0

k + 9 = 0 ⇒ k = -9

k - 7 = 0 ⇒ k = 7

Then the largest possible domain is {-9, -6, 4, 7}

You might exclude one from -6 and 4 but not both.

You might also exclude one from -9 and 7 but not both

Because with those sets you will obtain all the images that are in the range.

1) k^2 +2k +1 = 25

k^2 + 2k -24 = 0

(k + 6)(k- 4) = 0

k + 6 = 0 ⇒ k = - 6

k - 4 = 0 ⇒ k = 4

2) k^2 + 2k + 1 = 64

k^2 + 2k - 63 = 0

(k + 9)(k - 7) = 0

k + 9 = 0 ⇒ k = -9

k - 7 = 0 ⇒ k = 7

Then the largest possible domain is {-9, -6, 4, 7}

You might exclude one from -6 and 4 but not both.

You might also exclude one from -9 and 7 but not both

Because with those sets you will obtain all the images that are in the range.

ANSWERED AT 29/01/2020 - 05:23 PM

QUESTION POSTED AT 29/01/2020 - 05:23 PM

Weeks : 1 2 3 4 5

number of insects : 4 8 16 32 64

each week ur insect collection doubled...so by week 5, u had 64 insects in ur collection

number of insects : 4 8 16 32 64

each week ur insect collection doubled...so by week 5, u had 64 insects in ur collection

ANSWERED AT 29/01/2020 - 05:22 PM

QUESTION POSTED AT 29/01/2020 - 05:22 PM

1: 1,000,000

Then you mark points 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 on the y-axis.

The origin is 0

1 is equivalent to 1,000,000

2 is 2,000,000

3 is 3,000,000 ...

and so on, until 10 which is 10,000,000

Then you mark points 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 on the y-axis.

The origin is 0

1 is equivalent to 1,000,000

2 is 2,000,000

3 is 3,000,000 ...

and so on, until 10 which is 10,000,000

ANSWERED AT 29/01/2020 - 05:21 PM

QUESTION POSTED AT 29/01/2020 - 05:21 PM

Hint:

r_{y=k): (x,y)->(x,-(y-k)+k)

or simplified,

r_{y=k): (x,y)->(x,2k-y)

So in this case, k=-1, x=2, y=-4

(2,-4) -> (2, 2(-1)-(-4)

(2,-4) -> (2, -2+4)

(2,-4) -> (2, 2)

r_{y=k): (x,y)->(x,-(y-k)+k)

or simplified,

r_{y=k): (x,y)->(x,2k-y)

So in this case, k=-1, x=2, y=-4

(2,-4) -> (2, 2(-1)-(-4)

(2,-4) -> (2, -2+4)

(2,-4) -> (2, 2)

ANSWERED AT 29/01/2020 - 05:19 PM

QUESTION POSTED AT 29/01/2020 - 05:19 PM

Well, you technically didn't finish your question, but she would need to double the 1 1/8 cup of butter she already has. 0.75(3) is equal to 2.25. 1 1/8 converted to decimal form is 1.125, which is half of 2.25. Therefore, in a sense she would have to double the amount of butter she already has. Otherwise, she can only make 1.5 times of the recipe

ANSWERED AT 29/01/2020 - 05:18 PM

QUESTION POSTED AT 29/01/2020 - 05:18 PM

The coordinates of the image are : **C ) ( 2, 2 )**

ANSWERED AT 29/01/2020 - 05:17 PM

QUESTION POSTED AT 29/01/2020 - 05:17 PM

**Answer:**

The correct answer is **C.**

**Step-by-step explanation:**

Notice that the difference between consecutive values of x is always 1, and the difference between consecutive values of y is always 2. This means that

where and stands for two consecutive values of x, and the same goes to y.

Now, notice that this is the definition of the slope of the equation of a line. Then, a line can be characterized by this condition, and that is why **C ** is the correct answer.

Anyway, you can check that this set of point is generated by a linear function in other way. Suppose that it can be done, and the linear function has the form

.

From the pair (0,7) we deduce that , then . Now, substituting the pair (-3,1) we get and as consequence . Thus, if the points are generated by a linear function, its expression would be .

Now, substitute the different values of x and check that the same values of y are obtained.

ANSWERED AT 29/01/2020 - 05:16 PM

QUESTION POSTED AT 29/01/2020 - 05:16 PM

1. Equation of circle = (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the centre of the circle and r is the diameter.

(x - (-5))^2 + (y - (-7))^2 = 6^2

(x + 5)^2 + (y + 7)^2 = 36

x^2 + 10x + 25 + y^2 + 14y + 49 = 36

x^2 + y^2 + 10x + 14y + 38 = 0

(x - (-5))^2 + (y - (-7))^2 = 6^2

(x + 5)^2 + (y + 7)^2 = 36

x^2 + 10x + 25 + y^2 + 14y + 49 = 36

x^2 + y^2 + 10x + 14y + 38 = 0

ANSWERED AT 29/01/2020 - 05:15 PM

QUESTION POSTED AT 29/01/2020 - 05:15 PM

**Answer:**

The correct option is B.

**Step-by-step explanation:**

It is given that the ordered pairs below represent a linear relation between x and y. (-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20).

At y-intercept the value of x is 0. From the given points we can say that the y-intercept of the function is (0,12).

If a line passing through the two points, then the slope of the function is

The slope of the function is

**Therefore the slope of the line represented by this table is 4 and the y-intercept is 12. Option B is correct.**

ANSWERED AT 29/01/2020 - 05:15 PM

QUESTION POSTED AT 29/01/2020 - 05:15 PM

She did everything correct in step 1 and 2

Until step 3 she took a wrong turn.

She wrote seven times x over seven = twenty-three over 7

**When she should have wrote..**

**negative seven times x over negative seven = twenty-three over negative seven**

So her answer was

23/7

while it should have been a negative. -> -23/7

Good Luck! :)

Until step 3 she took a wrong turn.

She wrote seven times x over seven = twenty-three over 7

So her answer was

23/7

while it should have been a negative. -> -23/7

Good Luck! :)

ANSWERED AT 29/01/2020 - 05:14 PM

QUESTION POSTED AT 29/01/2020 - 05:14 PM

**Answer:**

**Step-by-step explanation:**

We are given the following information in the question:

We have to evaluate:

**Formula:**

**Thus, the is values is 35**

ANSWERED AT 29/01/2020 - 05:08 PM

QUESTION POSTED AT 29/01/2020 - 05:08 PM

5 mins max about 24 if there 5 mins i believe

ANSWERED AT 29/01/2020 - 04:57 PM

QUESTION POSTED AT 29/01/2020 - 04:57 PM

3 1/2 = 7/2

so than 7/2 pounds cost 1,96

than 1 pound cost x

-----------------------------------------

x = 1*1,96/(7/2) = (1,96 *2)/7 = 3,92 /7 = 0,56 so will cost $,56 so choice a. is right sure

so than 7/2 pounds cost 1,96

than 1 pound cost x

-----------------------------------------

x = 1*1,96/(7/2) = (1,96 *2)/7 = 3,92 /7 = 0,56 so will cost $,56 so choice a. is right sure

ANSWERED AT 29/01/2020 - 04:52 PM

QUESTION POSTED AT 29/01/2020 - 04:52 PM

Interpolation equation

Poit 1: (a,b)

Point 2: (c,d)

Intermediate point (x,y)

(d - b)/(c - a) = (y - b) / (x - a)

(a,b) = (2, 4.2)

(c,d) = (4, 5.6)

x = 3

(5.6 - 4.2) / (4 - 2) = (y - 4.2) / (3 -2)

y = [1.4/2]*[1] + 4.2

y = 0.7 + 4.2 = 4.9

Answer 4.9 miles

Poit 1: (a,b)

Point 2: (c,d)

Intermediate point (x,y)

(d - b)/(c - a) = (y - b) / (x - a)

(a,b) = (2, 4.2)

(c,d) = (4, 5.6)

x = 3

(5.6 - 4.2) / (4 - 2) = (y - 4.2) / (3 -2)

y = [1.4/2]*[1] + 4.2

y = 0.7 + 4.2 = 4.9

Answer 4.9 miles

ANSWERED AT 29/01/2020 - 04:51 PM

QUESTION POSTED AT 29/01/2020 - 04:51 PM

Assume that on Tuesday he read 1/2 pages out of 520 pages not what's left of the book minus 1/5 of the pages that he read on Sunday.

Cody read 260 pages on Saturday.

Cody read 260 pages on Saturday.

ANSWERED AT 29/01/2020 - 04:49 PM

QUESTION POSTED AT 29/01/2020 - 04:49 PM

Perhaps 66+73+13+21=52+x+10+20

66+73+13+21=173

x=173-52-10-20

x=91

66+73+13+21=173

x=173-52-10-20

x=91

ANSWERED AT 29/01/2020 - 04:47 PM

QUESTION POSTED AT 29/01/2020 - 04:47 PM

4x - 7y = 1

if y = 5

4x - (7*5) = 1

4x - 35 = 1

4x = 36

x = 9

other coordinate is 9

if y = 5

4x - (7*5) = 1

4x - 35 = 1

4x = 36

x = 9

other coordinate is 9

ANSWERED AT 29/01/2020 - 04:46 PM

QUESTION POSTED AT 29/01/2020 - 04:46 PM

**Answer:**

**Step-by-step explanation:**

THe sequence 64,16,4,1 as you can see it´s actually going down or decreasing, so the ratio should be a fraction, in order to find that you just have to pair two terms that are next to eachother in the sequence to find the fraction, let´s try it with the first two: 64 and 16:

So the ratio is 1/4. You can confirm the ratio by using other numbers in the sequence, like the last two:

This is the ratio directly.

ANSWERED AT 29/01/2020 - 04:46 PM

QUESTION POSTED AT 29/01/2020 - 04:46 PM