Solve each problem #1.

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

Answered by admin AT 15/01/2020 - 03:12 AM

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

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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

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

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

-6g + 3g + 12 \ \textgreater \  -18

Start by combining like terms on both sides 
-6+3=-3
Now we have:
-3g+ 12 \ \textgreater \ -18

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

Now we have
-3g \ \textgreater \ -30

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

g\ \textgreater \ -10
When we divide an inequality by a negative we flip the sign so:
g\ \textgreater \ -10
becomes:
g\ \textless \ 10

Final answer:

g\ \textless \ 10

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
----------------add
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

Answer:

the first term is 5x^4

Step-by-step explanation:

We have been given the polynomial 1+6x^2+5x^4+3x^3

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

5x^4+3x^3+6x^2+1

Therefore, the first term is 5x^4

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 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)

−19x+2y is the answer.

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

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

\frac{x_{1}-x_{0}}{y_{1}-y_{0}} = 2

where x_0 and x_1 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

y=mx+n.

From the pair (0,7) we deduce that  7 =m*0+n, then n=7. Now, substituting the pair (-3,1) we get 1=-3*m+7 and as consequence m=2. Thus, if the points are generated by a linear function, its expression would be y=2x+7.

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.

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

m=\frac{y_2-y_1}{x_2-x_1}

The slope of the function is

m=\frac{4-0}{-2-(-3)}=\frac{4}{1}=4

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