What is the slope of the line on the graph

Answer:

C

Step-by-step explanation:

answer: -5x+12=20

                   -12    -12

            -5x/-5= 8/-5

             x= -1.6

       Check: rewrite the orignal problem

          plug your variable

Answer:

y = Ae^2xcos√3 x + Be^2xsin√3 x

Step-by-step explanation:

Given the differential equation

y''-4y' +7y =0

Let my = y' and m²y =y''

The auxiliary equation is expressed as;

m²y - 4my +7y = 0

(m²-4m+7)y =0

Divide through by y;

m²-4m+7= 0

Factorize the auxiliary equation

m = 4±√16-4(7)/2

m = 4±√-12/2

m = 4±2√3 i/2

m = 2+√3i

From the complex number a = 2(real part)

b = √3 (imaginary part)

Substitute into the general solution

y = Ae^axcosbx + Be^axsinbx

y = Ae^2xcos√3 x + Be^2xsin√3 x

Answer:

-1 <x< 1

Explanation:

Add -3 to both sides

Divide all parts by 4

Answer:

What is Jeremy’s average if he received a total of 323.7 points on 7 tests?

Step-by-step explanation:

You have to divide 323.7 points by 7 tests so it is the only division problem out of all the problems.

Answer:

It’s a 50% chance

Step-by-step explanation:

The probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

You are dealt one card from a standard 52-card deck.

Total number of red cards = 26

Total number of outcomes = 52

The probability of being dealt a red card = 26/52

The probability of being dealt a red card = 1/2

Or

The probability of being dealt a red card = 0.5 or 50%

Thus, the probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.

Learn more about the probability here:

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Answer:

13 inches

Step-by-step explanation:

10 * 1/4 = 2 1/2 inches

16 * 1/4 = 4 inches

2(2 1/2) + 2(4) = 13 inches

Answer:

Its 4 feet, The other person is wrong and did not explain it the way the question says.

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

The greatest number of rows that can be formed in the garden will be 3.

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given,

Ramon has 27 tomato plants, 15 cucumber plants, and 6 basil plants.

Factors of 27 = 1, 3, 9, and 27.

Factors of 15 =  1, 3, 5 and 15

Factors of 6 = 1, 2, 3 and 6

The GCF of 27,15 and 6 is 3.

Thus, only three raws are possible.

Hence "The greatest number of rows that can be formed in the garden will be 3".

To learn more about the highest common factor,

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Answer:

sorry for that i did not about that give a thanks and save water for feuter . jal

Answer:

15.5

Step-by-step explanation:

9.1^2 + 12.5^2 = 239.06

square root of 239.06 is 15.5

Answer:

I will need to buy 22.5 pounds of turkey and pay $23.63

Step-by-step explanation:

Proportions

Each person is planned to eat 2 x 3/8 pound servings of turkey for thanksgiving dinner. This means each person will eat

[tex]2\cdot\frac{3}{4}=\frac{3}{2}[/tex]

pounds of turkey.

There are going to be 15 people at the dinner, thus the total turkey needed is:

[tex]15\cdot\frac{3}{2}=22.5~pounds[/tex]

The turkey costs $1.05 per pound, thus the total cost is

22.5*$1.05 = $23.63

I will need to buy 22.5 pounds of turkey and pay $23.63

Answer:

Answer:age of new student is 13.4 years

Step-by-step explanation:

SUM of ages all 40 students =average age times 40

=15*40=600

after leaving 18 years old student

SUM of ages of 39 students will be 600-18=582

after adding new student with age x

SUM of ages of 40 students will become 582+x

and the average would be (582+x)/40

which is given as 14.885

so we get equation

(582+x)/40=14.885

582+x=14.885*40=595.4

x=595.4-582

x= 13.4

age of new student is 13.4 years

Hope it will help you

Please mark as brainliest answer

the sudent age is 13.4

Step-by-step explanation:

SUM of ages all 40 students =average age times 40

=15*40=600

after leaving 18 years old student

SUM of ages of 39 students will be 600-18=582

after adding new student with age x

SUM of ages of 40 students will become 582+x

and the average would be (582+x)/40

which is given as 14.885

so we get equation

(582+x)/40=14.885

582+x=14.885*40=595.4

x=595.4-582

x= 13.4

age of new student is 13.4 years

Answer:

The answer is 4.5

Step-by-step explanation:

.caculator.....hehe

Answer:

4.5

Step-by-step explanation:

If you divide 3/4 by 1/6 you will get 4.5. Hope this helps.

Answer: B

Step-by-step explanation: So that inequality, basically means that x is less than -6. Because there is also a line under the less than sign, that means that x is less OR equal to 6. When x can also be equal to 6, the circle on the number line will be filled in (if x was just less than 6, WITHOUT also being equal to it, than the circle would be empty). And because x is less than -6, the arrow will be pointing to the left.

Answer:

try the second one on top

Step-by-step explanation:

Answer:

n = 5/√7

Step-by-step explanation:

(√7) 5 = 7n

5√7 = 7n

7n = 5√7

n = 5√7/7

n = 5/√7

-TheUnknownScientist

(√7)5 = 7n

Divide both sides by n.

(√7)5/7 = n

9514 1404 393

Answer:

Step-by-step explanation:

Personally, the "work" I like to do when finding higher-degree polynomial zeros is writing the equation into a graphing calculator. The rational zeros are usually fairly obvious (for school problems), and the irrational ones often can be arrived at without a lot of trouble.

__

1. The graph in the first attachment shows the zeros are -1, -1/2, 3. (You expect a zero with 2 in the denominator because of the leading coefficient.)

__

2. The graph in the first attachment shows the zeros are -3, -2.236, and +2.236. Factoring the function by grouping shows you the factors to be ...

  f(x) = (x^3 +3x^2) -(5x +15) = x^2(x +3)-5(x +3) = (x +3)(x^2 -5)

The quadratic factor can be factored using the form for "difference of squares":

  f(x) = (x +3)(x -√5)(x +√5)

The value of √5 is about 2.236, matching the numbers shown on the graph.

The zeros are -3, -√5, +√5.

__

3. The graph in the second attachment shows the zeros are -2.449, -1/2, 2,  +2.449. (As in problem 1, you expect a zero with 2 in the denominator.) Factoring out the rational zeros* gives ...

  f(x) = (2x +1)(x -2)(x^2 -6) = (2x +1)(x -2)(x -√6)(x +√6)

The zeros are -1/2, 2, -√6, +√6.

* The "work" of the synthetic division is shown in the third attachment. The coefficients of the quadratic are reduced by a factor of 2 from the result of division by (x+1/2) so they effectively show the quotient from division by (2x+1).

__

4. The graph in the fourth attachment shows the zeros are 0.268, 1, 3.732. Factoring out the rational zero gives ...

  f(x) = (x -1)(x^2 -4x +1)

The zeros of the quadratic factor can be found any of several ways. One of my favorite is to use the graph to discover the vertex. For the vertex form ...

  y = (x -h)^2 +k

the roots are h±√(-k). The vertex form of the quadratic term is

  y = (x -2)^2 -3

so the roots are 2±√3.

The zeros are 1, 2-√3, 2+√3.

Answer:

(-4,3) or X=-4, y=3

Step-by-step explanation:

when solving for the first variable once you have the result then substitute the result into the other equation.

Answer:

3.7 hours

Step-by-step explanation:

Answer:

3.7 hours

Step-by-step explanation

Kam      

 x = 72/3 .   =    24 cookies/h

Madison

x = 120 / 4    =    30 cookies/hour

Now we write and equation where "t" will be time

        24t + 30t = 200    

        54t = 200

       t = 200/54

       t = 3.7 hours

Answer:

that doesn't make sense. u cant buy more lbs of apples than apples and bananas combined

Step-by-step explanation:

Answer:

7/15

Step-by-step explanation:

Hope this helps!! :)

Answer:

Value of investment for Sierra after two years will be $5100.5

Step-by-step explanation:

Principal Amount P =$5000

Interest rate r = 1% = 0.01

Time t = 2 years

Compounded annually n = 1

We need to find future amount A

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.01}{1})^{1*2}\\A=5000(1+0.01)^{2} \\A=5000(1.01)^{2}\\A=5000(1.0201)\\A=5100.5[/tex]

So, Value of investment for Sierra after two years will be $5100.5

Answer:

Step-by-step explanation:

1/6 x 3/2 = 1/4

Hope it helps

Answer:

Greater than

Step-by-step explanation:

Answer:

$7.05

Step-by-step explanation:

Answer:

28.2

Step-by-step explanation:

k + 2k + 45 = 180

3k = 180-45

k = 135/3

k = 45

2k = 2* 45

90

I'm not sure how many equations you are asking for, but hopefully, you can use what I wrote here to solve your actual question. Here is my go:

3x+10+2x+2+5x

First, add all the x's together:

3x+2x+5x=10x

Next, add all our numerals together:

10+2=12

Put it together!

10x+12

Answer:

1 = 50⁰

2 = 130⁰

3 = 50⁰

4 = 85⁰

5 = 130⁰

6 = 50⁰

7 = 85⁰

8 = 45⁰

9 = 45⁰

10 = 135⁰

11 = 135⁰

12 = 45⁰