# Solve each problem #1.

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

15% = 15/100 = 15 out of a hundred. You answer is fifteen.

## Related questions

### How could Brent use a rectangle to model the factors of x2 – 7x + 6? A. He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12. B. He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6. C. He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6. D. He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12

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

### If y varies directly as x, and y is 12 when x is 1.2, what is the constant of variation for this relation? 1 10 10.8 14.4

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

### Solve the inequalities -150x ≥ − 2,400 and -336 ≥ − 21y. x. -15 15 -16 16 y. -16 16 -21 21 In the relationship between x and y, .x is always less than y .some x values are greater than y .x is always less than or equal to y .y is always less than x

-150x ≥ -2400
⁻¹⁵⁰ˣ/₋₁₅₀ ≥ ⁻²⁴⁰⁰/₋₁₅₀
x ≤ 16

-336 ≥ -21y
⁻³³⁶/₋₂₁ ≥ ⁻²¹/₋₂₁y
16 ≤ y
y ≥ 16

In the relation between x and y, x is always less than or equal to y. The answer is equal to C.

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

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

### For every 10 fish you have, you need 5 gall how many gallons pf water do u have for 1 fish

10/5 = 1/x
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

### Solve for g. -6g + 3g + 12 > -18

Start by combining like terms on both sides
-6+3=-3
Now we have:

To isolate g we need to subtract 12 from both sides -18-12= -30

Now we have

Divide both sides by -3 to isolate g, now we have:

When we divide an inequality by a negative we flip the sign so:

becomes:

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

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

### The domain of the following relation R {(6, −2), (1, 2), (−3, −4), (−3, 2)} is

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

### If (f + g)(x) = 3x2 + 2x – 1 and g(x) = 2x – 2, what is f(x)? 3x2 + 1 3x2 – 1 3x2 + 4 3x2 – 4 x2 – 2

(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

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

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

### Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols. 2x+7y=4 -4x -3y=14

2x + 7y = 4.....multiply by 2
-4x - 3y = 14
------------------
4x + 14y = 8 (result of multiplying by 2)
-4x - 3y = 14
11y = 22
y = 2

2x + 7y = 4
2x + 7(2) = 4
2x + 14 = 4
2x = 4 - 14
2x = - 10
x = -5

solution is : (-5,2)

ANSWERED AT 29/01/2020 - 05:36 PM

QUESTION POSTED AT 29/01/2020 - 05:36 PM

### What is the common ratio for the sequence 1, 4, 16, 64

Multiply the value by 4 for the next value.
1:4 ratio

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

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

### What is the 1st term when 1 + 6x2 + 5x4 + 3x3 is arranged in descending order? 1 6x2 5x4 3x3

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

### Question 1 of 8Fill in the blank: Type your answer in the box and then click "submit."What is the value of y?114Answer:

The value of 'y' is 57.

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

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

### Find the zeros of the function. f(x)= 3x^3- 12x^2- 15x a. 0, 1, and -5 b. -1 and 5 c. 0, -1, and 5 d. 1 and -5

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

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

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

### When a rate is simplified so that it has a denominator of 1 unit, it is called a(n)_________ rate

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

### If ƒ(x ) = 3x + 1 and ƒ -1 = , then ƒ -1(7) =

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

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

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

### How do I solve this?

I'm going to have to say 10.5, because that side looks the same as the side with the number 9.

ANSWERED AT 29/01/2020 - 05:27 PM

QUESTION POSTED AT 29/01/2020 - 05:27 PM

### The instructions for building a kite tell you to begin by cutting a strip of wood to 45 cm in length, but your ruler only measures inches. How many inches should the piece of wood be? Round to the nearest quarter of an inch. (Recall: 1 in.= 2.54cm )

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

### The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?

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.

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

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

### A=1/2(B+b)h solve for b

Are you sure the h is after the parentheses or are the after the 1/2

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

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

### Honora started an insect collection. By the fourth week,she collected 32 insects. Week Number of Insects 1 4 2 8 3 16 4 32 5 ? If the pattern continued, how many insects did Honora collect by Week 5?

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

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

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

### Solve the equation 3x + 4y = 16 for x.

Simplifying
3x + -4y = 16

Solving
3x + -4y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
3x + -4y + 4y = 16 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 16 + 4y
3x = 16 + 4y

Divide each side by '3'.
x = 5.333333333 + 1.333333333y

Simplifying
x = 5.333333333 + 1.333333333y

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

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

### ON A GRAPH WITH Y-VALUES RANGING FROM 1,010,020 TO 9,682,192, WHAT IS A REASONABLE SCALE TO USE ON A Y-AXIS WITH 10 TICK MARKS?

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

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

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

### Need to see how to work problem 2x-4y-3(7x-2y)

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

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

### The point (2, –4) is reflected across the line y = –1. What are the coordinates of the image? A.(–5, –4) B.(–4, 2) C.(2, 2) D.(2, 4)

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)

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

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

### A recipe calls for 3/4 cup of butter. Angie wants to triple the recipe, but she has only 1 1/8.

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

### Solve the equation -3(y-5)=24

-3(y-5) = 24...distribute through the parenthesis
-3y + 15 = 24....subtract 15 from both sides
-3y = 24 - 15
-3y = 9...divide both sides by -3
y = 9/-3
y = -3

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

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

### (3a+2c)(9a^2-6ac+4c^2) can you solve this please

I think the answer is 27a^3+8c^3 :) is this algebra??

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

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

### The point (2, –4) is reflected across the line y = –1. What are the coordinates of the image? A.(–5, –4) B.(–4, 2) C.(2, 2) D.(2, 4)

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

### The ordered pairs below represent a relation between x and y.(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)Could this set of ordered pairs have been generated by a linear function?A. No, because the distance between consecutive y-values is different than the distance between consecutive x-valuesB. Yes, because the distance between consecutive x-values is constantC. Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate itD. No, because the y-values decrease and then increase

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.Which is an equation of a circle with center (-5, -7) and radius 6? 2.Which is an equation of a circle with center (5, 0) that passes through the point (1, 1)? 3.What is the center and radius of the circle with equation (x - 5)2 + (y + 3)2 = 16? 4.Which point is on the circle described by (x - 2)2 + (y + 3)2 = 4?

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

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

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

### The ordered pairs below represent a linear relation between x and y. (-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20) Which of the following is a correct statement about this relation? A. The slope of the line represented by this table is -4 and the y-intercept is -3. B. The slope of the line represented by this table is 4 and the y-intercept is 12. C. The slope of the line represented by this table is 4 and the y-intercept is -3. D. The slope of the line represented by this table is -4 and the y-intercept is 12.

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