Given f(x) = 3x^2 + kx-1, and the remainder when f(x) is divided by x + 4 is 27, then what is the value of k?

Answer:

[tex]y=-\frac{x}{6} -1[/tex]

Step-by-step explanation:

Hi there!

We are given the following equation:
x+6y=-6

And we want to convert it into slope-intercept form

Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept

The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients

Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side

So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y

Here is our equation again:

x+6y=-6

Start by subtracting x from both sides

x+6y=-6

-x       -x

_______________

6y=-x-6

Now divide both sides by 6

[tex]y=-\frac{x}{6} -\frac{6}{6}[/tex]
We can simplify the fractions to become:

[tex]y=-\frac{x}{6} -1[/tex]
Hope this helps!

See more on converting from standard to slope-intercept form here: https://brainly.com/question/26579052

Answer:

$210

Step-by-step explanation:

Merchandise sold = $700

Commission = 30%

30% of $700 = 0.3 x 700 = $210

Hence, the saleswoman earn $210 in commission.

[RevyBreeze]

24,501.42 cubic meters

Step-by-step explanation:

The equation for volume of a cylinder is:

A=πr²h

A= area

r= radius

h=height

let's plug in the numbers

A=π×17²×27

(the radius is half of the diameter; 34÷2=17)

Let's use 3.14 as pi

A=3.14×289×27

A= 24501.02 cubic meters

Answer:

The Answer is C

Step-by-step explanation:

3x-4y=5

2x+4y=-3

This equation is the answer to this problem because just by looking at it, you can immediately cancel out the y value and solve for x.

The other equations are wrong because their is extra work needed to eliminate the values.

Answer:

1. f(x) Domain [-3,∞) Range [0,∞)

2. g(x) Domain (-∞,∞) Range [√3, ∞)

3. h(x) Domain [3,∞) Range [0,∞)

4. i(x) Domain (-∞,-√3]∪[√3,∞) Range [0,∞)

5. j(x) Domain (-∞,∞) Range [0,∞)

6. k(x) Domain (-∞,∞) Range [0,∞)

7. f(x) Domain (-∞,∞) Range [3,∞)

Exercise 2 : no there is not an inverse. in about to have an inverse you have to have x and y. yes. if you restrict the domain of the finction so that its 1 to 1 which creates a new function youll have an inverse.

Answer:

You decide that you will spend 2 times as many hours outdoors as you spend watching TV.

Let the hours spent outdoors be = o

Let the time spent on watching tv be = t

So, general equation becomes o=2to=2t

Last week, you watched 4 hours of TV. This week, you watched 8 hours of TV.

When t = 4

o = 2(4) = 8 hours

When t = 8

o = 2(8) = 16 hours

We have been asked to place points on the graph to show your activity for last week and this week.

Please find attached the points display.

Answer: 1

Step-by-step explanation:

16 * 1/2 = 8

7x + 1 = 8

7x = 7

x = 1

Answer:

x = 1

Step-by-step explanation:

[tex]\frac { 7 x + 1 } { 16 } = \frac { 1 } { 2 }\\7x+1=\frac{16}{2} \\7x+1=8 \\7x=8-1 \\7x = 7\\x = \frac{7}{7} \\\bigstar \; \boxed{x = 1}[/tex]

Hope it helps ⚜

Answer:

Story Pole

Step-by-step explanation:

Source : Trust me bro

Answer:

In order: -5, 3, 5

Step-by-step explanation:

-5g + 15h - 25

-5 ( g - 3h + 5 )

Hopefully this helps!

Brainliest please?

Answer:

1/4

Explanation: 0.25 multiplied by 4 is 1. This shows that 0.25 is 1/4 of 1

Answer:

M- MONICA

Step-by-step explanation:

Answer:

1651.40625

Step-by-step explanation:

Multiplying or dividing an even number of negative terms equals a positive.

195÷32×271

Using the rule of BODMAS,

(D) Division first.

195÷32 = 6.09375

(M) Multiplication next.

6.09375×271 = 1651.40625

Alternate form ↓

52845

32

OR

1651¹³/32

Answer:

34.69 feet

Step-by-step explanation:

First, you would set up a proportion using the person's measurements and the measurements you do have from the building. You would put your actual value on top of one of the proportions, 6, then put its shadow value, 3.2, on the bottom. Then, you would add 18.5 to the bottom of your other fraction.

Next, you would cross multiply and divide. If you don't know what that means, you will multiply 18.5 by 6, and get 111. Then, divide this number by 3.2. This should make you get 34.6875, so then you round to the nearest hundredths place to get 34.69.

Answer: Rhombus

Step-by-step explanation:

It is a rhombus because all sides are equal and opposite sides are parallel.

Answer:

parallelogram

Step-by-step explanation:

Because the sides are parallel to each other.

Answer: A

Step-by-step explanation:

We have that the graph will have a solution that is mathematically given as

y=12sin(6t-\pi)+2

Question Parameters:

A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days).

Generally the equation for the Amplitude and vertical shift is mathematically given as

[tex]A=\frac{Max+min}{2}\\\\A=\frac{10+14}{2}[/tex]

A=2

vertical shift =[tex]\frac{Max-min}{2}[/tex]

vertical shift =[tex]\frac{14-10}{2}[/tex]

vertical shift =1

Therefore, the time is given as

[tex]t=\frac{2\pi}{b}[/tex]

Where

[tex]b=\pi/6\\\\t=\frac{2\pi}{\pi/6}[/tex]

Hence,The graph will have a solution

y=12sin(6t-\pi)+2

For more information on Graph

https://brainly.com/question/14375099

Answer:

Hello!  I wanted to explain the answer which someone might have already answered..  First off, I want to let you know that the Answer is "The scatter plot shows a linear association."  But how?  Well, linear means: "arranged in or extending along a straight or nearly straight line." Which if you didn't notice.. All the points on the graph, make up a generally straight line.

"No association" means there is no line or association with any of the points.  So, you'd pick that if the points were all over the graph in no order, line or combination; which isn't the case.  

"Negative association" is when the top of the points come from the left of the graph lowering into the right. While Positive association would be from right to left.  So, it couldn't be choice "Negative Association" since it's coming from right to the left of the graph.

"The point  (2, 14) is an outlier."  If you didn't know, an outlier is one dot out of a whole group.  Think of it as if EVERYONE was wearing pink except one; who wore black.  It's just the out of placed kind of dot; but it's supposed to be there.  When you look at the graph, there is no dot or outlier at point (2,14) so, that's automatically out as well.

Ending with the last choice "The scatter plot shows a linear association." which is not just true but is the only one that'd make since.  So, I hope this helped you!

I HOPE THIS HELPS YOU! BE SAFE :)

Answer:

The scatter plot shows a linear association

Step-by-step explanation:

credit goes to ssanc053

Product of two polynomials can be done by distribution of multiplication over addition. The product of  [tex]2x^4(2x^2 + 3x + 4)[/tex] is  [tex]4x^6 + 6x^5 + 8x^4[/tex]

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The given expression is simplified as:

[tex]2x^4(2x^2 + 3x + 4) = 2x^4 \times 2x^2 + 2x^4 \times 3x + 2x^4 \times 4\\2x^4(2x^2 + 3x + 4) = 4x^6 + 6x^5 + 8x^4[/tex]

Thus,

The product of  [tex]2x^4(2x^2 + 3x + 4)[/tex] is  [tex]4x^6 + 6x^5 + 8x^4[/tex]

Learn more about product of polynomials here:

https://brainly.com/question/9106484

Answer:

4x^6 + 6x^4 + 8x^4

Step-by-step explanation:

its the only option with a 6 in the 2nd term.

Answer:

B=53

C=127

D=127

Step-by-step explanation:

Answer:

D. [tex]9(y+3) and 27+9y[/tex]

Step-by-step explanation:

The first expression for each set is using the distributing propety. We can start with the first one. We notice right away that 3 sets of 3y is 9y, when the other expression is 6. So, that is incorrect. Next we see the second one does have a correct y-value, but the integer value of 6 is not the same, since 3*3=9, not 6. For C we can tell that 9*3=27, which is not equal to 12. Therefore, D must be the answer.

Answer:

he believed governing is very hard and needs help

Answer:

5 * -6 = -30

Step-by-step explanation:

You just have to do the reverse of the already existing division problem.

Answer:

3.25, I don't know,  I'm in like 1st grade

Step-by-step explanation:

Answer:

61.

Step-by-step explanation:

because you make 60 flags then you will need 61.

61 felt do you need to make 60 flags.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

You sell triangular flags made from felt.

so, 61 felt do you need to make 60 flags.

because you make 60 flags then you will need 61.

To earn more on addition click:

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#SPJ2

Answer:

B and C are true.

Step-by-step explanation:

Part (a)

Divide the total cost over the number of gallons to get the unit cost

(23.63)/(8.5) = 2.78

=======================================================

Part (b)

The result of the previous part indicates the gas costs $2.78 per gallon.

=======================================================

Part (c)

c = cost in dollars

g = number of gallons bought

cost/gallons = cost/gallons

c/g = (23.78)/(8.5)

c/g = 2.78

c = 2.78g

This fits with what part (b) mentioned. The 2.78g means "2.78 times g".

=======================================================

Part (d)

Plug g = 17 into the equation found in part (c)

c = 2.78g

c = 2.78*17

c = 47.26

Interest rate for one year is rate percent amount of original investment. The amount invested by Mrs. Ming in the account paying 6% was $680

Suppose that annually there is interest rate of R%. The amount initially invested is P, then for 1 year, it doesn't matter if its simple or compounding annually, the interest is same (it doesn't remain same if compounding isn't annually or if the time is > 1 year)

The interest for 1 year will be [tex]\dfrac{P}{100} \times R[/tex]

Let we have the initial amount spent in account paying 8% interest rate as $x

Let for 6% interest paying account, initial amount was $y

Then, by the given data, we have:

[tex]x + y = 1500[/tex]

and

[tex]\dfrac{x}{100} \times 8 + \dfrac{y}{100} \times 6= 106.40\\\\8x + 6y = 10640\\4x + 3y = 5320[/tex]

Thus, we got a system of linear equations as :

[tex]x + y = 1500\\4x + 3y = 5320[/tex]

From equation 1, getting value of x in terms of y, we get:

[tex]x = 1500 - y[/tex]

Substituting this value in second equation, we get:

[tex]4x + 3y = 5320\\4(1500-y) +3y = 5320\\6000 - y = 5320\\y =680[/tex]

Putting this value of y in the equation we got for x,

[tex]x = 1500 - y\\x = 1500 - 680= 820[/tex]

Thus, amount invested by Mrs Ming in account paying 8% interest rate as $x = $820

and  for 6% interest paying account, initial amount was $y = $680

Thus,

The amount invested by Mrs. Ming in the account paying 6% was $680

Learn more about system of linear equations here:

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Answer:

She shaded off 1/8 of the fraction strip.

Enjoy ;)

Answer:

a  8 parts  b   8      3|4     3  × 4|4  ×  2= b  8

Step-by-step explain