Solve the system of linear equations. separate the x- and y- values with a coma. -4x+3y=-17 -3x+4y=-11

Answer:

Step-by-step explanation:

Answer:

(6 ± 3i)/5

Step-by-step explanation:

12x = 9 + 5x²

5x² - 12x + 9 = 0

Method 1

Factors that add to = b (-12) and multiply to = ac (45):  3 and -15

5x² + 3x - 15x + 9 = 0

5x(x - 3) + 3(x + 3) = 0

(x-3) and (x+3) do not match !!!!

Method 2 - Quadratic Formula

-b ± √(b² - 4ac)/2a

12 ± √((-12)² - 4(5)(9))/2(5)

12 ± √((-12)² - 4(5)(9))/2(5)

12 ± √(144 - 180)/10

12 ± √-36/10

(12 ± 6i)/10

(6 ± 3i)/5

I hope this helps!

Answer:

no solution

Step-by-step explanation:

6x + 4x - 1 = 2(5x + 4) ← distribute parenthesis

10x - 1 = 10x + 8 ( add 1 to both sides )

10x = 10x + 9 ( subtract 10x from both sides )

0 = 9 ← not possible

this indicates the equation has no solution

Answer:

[tex] I = \frac{1}{8} e^{4x^2} + C [/tex]

Step-by-step explanation:

This can be solved using substitution method. Let us work it out.

[tex] Let \: I = \int xe^{4x^2} dx[/tex]

[tex] \implies \: I = \int e^{4x^2} xdx[/tex]

[tex] Put \:4x^2 = t [/tex]

[tex] \implies 8x dx = dt [/tex]

[tex] \implies x dx = \frac{1}{8}dt [/tex]

[tex] \implies \: I = \int e^{t} \frac{1}{8}dt [/tex]

[tex] \implies \: I = \frac{1}{8} \int e^{t}dt [/tex]

[tex] \implies \: I = \frac{1}{8} e^{t} + C [/tex]

[tex] \implies \: I = \frac{1}{8} e^{4x^2} + C [/tex]

[tex] \implies \: \int xe^{4x^2} dx = \frac{1}{8} e^{4x^2} + C [/tex]

Answer:

D

Step-by-step explanation:

Since EF is perpendicular to both AB and CD, that makes AB and CD parallel.

Answer: D

Answer:

D&E, A&B

Step-by-step explanation:

It's pretty confusing but I know any of the answers with "c" in it is incorrect. The other options seem correct.

The net worth, based on the net worth statement of total assets and total liabilities, is B) $2,000.

The net worth of an individual is the difference between the assets owned and the liabilities that the person owes.

Cash $200

Checking accounts $1,000

Savings account $400

Cars $8,000

Furniture and appliances $1,500

Computers $900

Stereo/Cell phones $400

Clothing $300

Total assets = $12,700

Credit card balances $1,200

Charge accounts balances of $200

Student loans $7,000

Car Loans $2,300

Total liabilities = $10,700

Net worth = $2,000 ($12,700 - $10,700)

A) $200

B) $2,000

C) $10,700

D) $12,700

Thus, the net worth, based on the net worth statement of total assets and total liabilities, is B) $2,000.

Learn more about the net worth of an individual at https://brainly.com/question/12371230

The probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

A box has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy. (Each candy falls into only one of these categories.)

Let A is the event of selecting taffy in first attempt. Thus, the probability of it is,

[tex]P(A)=\dfrac{4}{14}[/tex]

Now 13 candies remain, in which 3 taffy candies are present. Let B is the event of selecting taffy in again. Thus, the probability of it is,

[tex]P(B)=\dfrac{3}{13}[/tex]

The probability of happening both event is,

[tex]P(A\cap B)=\dfrac{4}{14}\times\dfrac{3}{13}\\P(A\cap B)=\dfrac{12}{182}[/tex]

The probability that the two candies selected by Laura from the box are taffy is,

[tex]P(B| A)=\dfrac{\dfrac{12}{182}}{\dfrac{4}{14}}\\P(B| A)=0.230[/tex]

Thus, the probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.

Learn more about probability here:

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Answer:

D. Subtract 4 from both sides

Step-by-step explanation:

When you're solving a quadratic equation you want to use the quadratic formula [tex]\frac{-b+ \sqrt[]{b^{2} -4ac } }{2a}[/tex].
To get the quadratic equation into this form, you first need to convert it into [tex]ax^{2} +bx+c=0[/tex] which means the first step would be to subtract 4 on both sides.

Answer: 7

Step-by-step explanation: there are 4 full circles so that equals 4. 1+1=2, 1/8+7/8=1. 4+2+1=7

See the diagram below.

The 7/8 and 1/8 combine to 8/8 = 1. So we add an extra pie to the original two full pies to get 3 total.

The frequency distribution table shows the distribution of the rice consumed by the families

From the question, we have the interval to be:

Interval = 6

Start by calculating the range

Range = Highest - Least

This gives

Range = 60 - 20

Range = 40

Calculate the class width

Width = Range/Interval

This gives

Width = 40/6

Width = 7

So, the classes are: 20 - 26, 27 - 33, 34 - 40, 41 - 47, 48 - 54 and 55 - 61

Using the above classes, we have the following frequency distribution table.

Class Frequency

20 - 26 6

27 - 33 3

34 - 40 7

41 - 47 4

48 - 54 3

55 - 61 4

From the above Frequency Distribution Table, the interval with the highest frequency is 34 - 40

Read more about Frequency Distribution Table at:

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Answer:

3 days

Step-by-step explanation:

#1

Clockwise 90° rotation rule (x,y)—»(y,-x)

#2

Dilation of scale factor 2

#3

reflection across x axis rule (x,y)—»(x,-y)

#4

Rule for given translation (x-5,y+2)

Answer:

Given points:

Part (a)

Rotate 90° clockwise (about the origin): (x, y) → (y, -x)

Part (b)

Dilation by a scale factor → multiply the points by the scale factor

scale factor = 2

Part (c)

Reflect across the x-axis:  (x, y) → (x, -y)

Part (d)

Translate 2 up and 5 to the left:  (x, y) → (x - 5, y + 2)

Answer: B. 0.25

Step-by-step explanation:

Probability that a student is a senior = 0.20. Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option B is the correct choice.

Answer:

50% or 1/2

Step-by-step explanation:

The probability of grabbing either colored block from the bag is 50% or 1/2.

Answer:

$30

Step-by-step explanation:

Since the $130 has everything except the 3 premium movies, i subtracted 160 with 130 to get $30.

[tex]~~~~x^4+4x^3 +4x^2 +4x +3=0\\\\\implies x^4 +x^3 +3x^3 + 3x^2 +x^2+x+3x+3=0\\\\\implies x^3(x+1) +3x^2(x+1) + x(x+1) +3(x+1)=0\\\\\implies (x+1) (x^3+3x^2 +x +3)=0\\\\\implies (x+1) \textbf{[} x^2(x+3)+(x+3)\textbf{]}=0\\\\\implies (x+1)(x+3)(x^2+1)=0\\\\\implies x = -1 ,~~ x = -3,~~ x = \pm i[/tex]

Answer:

Answer given below in the following pictures.

I hope my answer helps you.

Answer: 3.8 vitamins

Step-by-step explanation:

    First, we will find all the data values by looking at the graph.

1, 1, 3, 5, 9

    Next, we will solve for the mean. This is where we add all the data values together, and divide by the number of values.

[tex]\displaystyle \frac{1+1+3+5+9}{5}[/tex]

[tex]\displaystyle \frac{19}{5}[/tex]

3.8

         The mean is 3.8.

Answer:

3.8 vitamins

Step-by-step explanation:

Step 1:  Determine the mean of the data

The mean of the data is also known as the average of the data.  We get this by adding up all of the values and dividing it by the amount of values that we have.

In this example, we have two points on the 1 marker, one point on the 3 marker, one point on the 5 marker, and one point on the 9 marker.

We add up all of the values, 1 + 1 + 3 + 5 + 9 and we get 19.  We then divide the number of values that we have which is 5.  So we do 19/5 and we get 3.8 vitamins is the mean.

Answer:  3.8 vitamins

Step-by-step explanation:

a. the zeroes of the function :

x = 2 or x = -2

b. the y-intercept :

g(0) = -3(0-2)(0+2)

= -3(-2)(2) = 12

the coordinates => (0, 12)

c. the g(x) = g(-x) => this is the even function

d. the leading of coefficient is negative

e. the end of behaviour is toward down

Answer:

68/100=17/25

Step-by-step explanation:

Since there are 2 digits in 68, the very last digit is the "100th" decimal place. So we can just say that 68 is the same as 68/100. terms by dividing both the numerator and denominator by 4. :D

Answer:

0.68=17/25

Step-by-step explanation:

first, turn it into a regular number which is as simple as dividing by 100, then you want to find a fraction which you first convert 0.68 into 68/100 and simplifying it gives you 17/25.

Answer:

y = -2x + 16

hope this helped :)

Answer:

[tex]2x^2\\\\[/tex]

Step by step explanation:

[tex]y=\displaystyle \int_{0}^x 2t^2 dt=\dfrac 23\left[t^3\right]^{x}_0=\dfrac 23 x^3\\\\\ y'= \dfrac 23 \cdot 3x^2 = 2x^2[/tex]

Answer:

2854.5 in^3

Step-by-step explanation:

4/3 π(8.8)^3

4/3π(681.472)

908.63π = 2854.5 in^3

Answer:

powers of 10

Step-by-step explanation:

Simone examined the pattern in the table

Answer:

A derivative is a slope function. If you want to find the slope anywhere along the function, you can.

Explanation:

Given: What is the purpose of a derivative?

A derivative is a slope function: m=f'(x=value). If you want to find the slope anywhere along the function, you can.

If you want to find a tangent line at a specific point along the function you can, using the slope and the point: y−y1=m(x−x1)

Answer:

See below

Step-by-step explanation:

A derivative is a slope function, so it allows you to find the slope anywhere along a function where it's continuous.

For example, the derivative of velocity is acceleration, which is applicable in real life.

You can also find a tangent line at a specific point by finding the slope of the function at that point and then using point-slope form [tex]y-y_1=m(x-x_1)[/tex] to get your tangent line.

Given:

To find:

Solving:

Using triangle inequality theorem.

[tex] \large \tt x \: <9 + 6 \: \: \: \: \: \implies \: x \: <15[/tex]

Range = difference < x < Sum

[tex]\large \tt \implies9 - 6 < x \: <9 + 6[/tex]

[tex]\large \tt \implies3 < x < 15[/tex]

Answer:

in the first one: BMC is equilateral triangle, because BM divides AC into equal sections, and because of that MC is 3.5 so it equals to BC.

Since angle BMC is 60° (because the triangle is equilateral), angle AMC will be 120°.

Since angle A + angle C should be 90°, if amgle C is 60°, then angle A will be 30.

In triangle AMB, angle ABM will be 30° (180°-120°(angle AMB) - 30°(angle BAM)).

As we calulated, angle A is 30° and angle ABM is 30° too, that means in BAM triangle AM=BM.