Someone please help me with this algebra problem

Answer:

A) 5

Step-by-step explanation:

We are given that:

[tex]x^2+kx+6=(x+n)(x+3)[/tex]

Where k and n are constants.

And we want to find the value of k.

We can expand the right-hand side:

[tex]\displaystyle =x(x+n)+3(x+n)\\ \\ = x^2+nx+3x+3n \\ \\ = x^2 + (n+3)x+3n[/tex]

Hence:

[tex]x^2+kx+6=x^2+(n+3)x+3n[/tex]

The coefficients of each term must be equivalent. In other words:

[tex]k=n+3\text{ and } 6=3n[/tex]

Solve for n:

[tex]n=2[/tex]

Now, we can solve for k:

[tex]k=(2)+3=5[/tex]

Our answer is A.

Answer:

C.7, -2

Step-by-step explanation:

A quadratic equation is a polynomial of degree two. A quadratic equation is in the form:

ax² + bx + c = 0; where a, b, c are constants.

Quadratic equation can be solved using different methods, such as completing the square method, quadratic formula.

Solving the equation 2x² - 10x - 20 = 8 using completing the square:

2x² - 10x - 20 = 8

2x² - 10x = 28

Divide through by 2, to make the coefficient of x² to be 1:

x² - 5x = 14

Add to both sides, the square of half of the coefficient of x [i.e. (-5/2)² = 6.25]

x² - 5x + 6.25 = 14 + 6.25

(x - 2.5)² = 20.25

taking square root of both sides:

x - 2.5 = √20.25

x - 2.5 = ±4.5

x = 2.5 ± 4.5

x = 2.5 + 4.5; or x = 2.5 - 4.5

x = 7 or x = -2

Answer:

hope this will help you more

Step-by-step explanation:

hope it is helpful to you

stay safe healthy and happy

Answer:

Correct answer B 130

Step-by-step explanation:

<FAE=90

<AFE=40

We have a triangle, so <FEA= 180-90+40=50

<FEA+FEB= 18-, so 180-50=130

AB parralel to CD then <ECD=130

Answer:

y = 2x - 7

Step-by-step explanation:

(1,-5) (2,-3)

y2 - y1 / x2 - x1        -3 - (-5) / 2 - 1     2/1       = 2

y = 2x + b

-3 = 2(2) + b

-3 = 4 + b

-7 = b

Answer:

[tex]y = -\frac{1}{3}x + 3[/tex]

Step-by-step explanation:

Required

The graph equation

From the graph, we have:

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (3,2)[/tex]

First, calculate the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{2-3}{3-0}[/tex]

[tex]m = \frac{-1}{3}[/tex]

[tex]m = -\frac{1}{3}[/tex]

The equation is calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -\frac{1}{3}(x - 0) + 3[/tex]

[tex]y = -\frac{1}{3}(x) + 3[/tex]

[tex]y = -\frac{1}{3}x + 3[/tex]

The equation which represents the graphed function is; y = (-1/3)x + 3

By observation, the graphed line crosses the y-axis at point; (0, 3). Hence, the y-intercept is at y= 3.

Additionally, the slope of the line can be evaluated by considering the two points given;

Slope, m = (2-3)/(3-0)

Slope, m = -1/3

Hence, the equation of the line is;

Read more on equation of a line;

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Answer:

x = 63.9

Step-by-step explanation:

We have:

[tex]\frac{QR}{sin35}[/tex] = [tex]\frac{78}{sin90}[/tex]

=> QR × sin90 = 78 × sin35

=> QR × sin90 = 44.7

=> QR = 44.7

But, we also have: [tex]x^{2}[/tex] + [tex]QR^{2}[/tex] = [tex]78^{2}[/tex] <=> [tex]x^{2}[/tex] + [tex]44.7^{2}[/tex] = [tex]78^{2}[/tex] <=> [tex]x^{2}[/tex] = 6084 - 1998.09

=> [tex]x^{2}[/tex] = 4085.91

=> x = [tex]\sqrt{4085.91}[/tex] = 63.9211.. = 63.9

<3 Have a nice day!!

Given:

[tex]P(A\cap B)=\dfrac{3}{4}[/tex]

[tex]P(B)=\dfrac{4}{5}[/tex]

To find:

The [tex]P(A|B)[/tex].

Solution:

Conditional probability:

[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]

Substituting the given values, we get

[tex]P(A|B)=\dfrac{\dfrac{3}{4}}{\dfrac{4}{5}}[/tex]

[tex]P(A|B)=\dfrac{3}{4}\times \dfrac{5}{4}[/tex]

[tex]P(A|B)=\dfrac{16}{16}[/tex]

Therefore, the correct option is B.

Answer:

-5 + 3(7.2 - 3.2) equals 7.

Step-by-step explanation:

The order of operations states the order in which different mathematical operations should be done first, you can use the mnemonic PEMDAS to remember the order to complete each operation. PEMDAS states that the order must be followed as Parenthesis, Exponents, Multiplication/Division, and Addition/Subtraction. In the expression -5 + 3(7.2 - 3.2), the three mathematical operations being used are subtraction, multiplication, and parenthesis, so based on PEMDAS, the order to complete them is parenthesis, multiplication, and subtraction. -5 + 3(7.2 - 3.2) = -5 + 3(4) = -5 + 12 = 7, so that is your final answer.

[tex]\displaystyle\bf -5+3(7.2-3.2)=7\\\\1)\:7.2-3.2=4\\\\2)\:4\cdot3=12\\\\3)\:12-5=7[/tex]

Answer:

60

Step-by-step explanation:

180-100 = 80

80-20 = 60

Answer:

1026

Step-by-step explanation:

Common difference = d = 2nd term  - first term

 d = -3 - (-11) = -3 +11 = 8

First term = a = -11

First we need to find the number of terms in this series

[tex]a_{n} = 125\\\\a + (n- 1)d = a_{n}\\\\[/tex]

-11 + (n- 1) * 8 = 125

 (n-1)*8 = 125 + 11

 (n-1) * 8 = 136

n -1 = 136/8

n -1 = 17

  n = 17+1

 n = 18

[tex]S_{n} =\frac{n}{2}(a+a_{n})\\\\S_{18} =\frac{18}{2}(-11+125)\\\\[/tex]

   = 9 * 114

   = 1026

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to simplify:

[tex]\displaystyle \frac{a+2}{a^2+a-2}+\frac{3}{a^2-1}[/tex]

First, let's factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:

[tex]\displaystyle =\frac{a+2}{(a+2)(a-1)}+\frac{3}{(a+1)(a-1)}[/tex]

Now, create a common denominator. To do this, we can multiply the first term by (a + 1) and the second term by (a + 2). Hence:

[tex]\displaystyle =\frac{(a+2)(a+1)}{(a+2)(a-1)(a+1)}+\frac{3(a+2)}{(a+2)(a-1)(a+1)}[/tex]

Add the fractions:

[tex]\displaystyle =\frac{(a+2)(a+1)+3(a+2)}{(a+2)(a-1)(a+1)}[/tex]

Factor:

[tex]\displaystyle =\frac{(a+2)((a+1)+3)}{(a+2)(a-1)(a+1)}[/tex]

Simplify:

[tex]\displaystyle =\frac{a+4}{(a-1)(a+1)}[/tex]

We can expand. Therefore:

[tex]\displaystyle =\frac{a+4}{a^2-1}[/tex]

Problem 2)

We want to simplify:

[tex]\displaystyle \frac{1}{(a-b)(b-c)}+\frac{1}{(c-b)(a-c)}[/tex]

Again, let's create a common denominator. First, let's factor out a negative from the second term:

[tex]\displaystyle \begin{aligned} \displaystyle &= \frac{1}{(a-b)(b-c)}+\frac{1}{(-(b-c))(a-c)}\\\\&=\displaystyle \frac{1}{(a-b)(b-c)}-\frac{1}{(b-c)(a-c)}\\\end{aligned}[/tex]

Now to create a common denominator, we can multiply the first term by (a - c) and the second term by (a - b). Hence:

[tex]\displaystyle =\frac{(a-c)}{(a-b)(b-c)(a-c)}-\frac{(a-b)}{(a-b)(b-c)(a-c)}[/tex]

Subtract the fractions:

[tex]\displaystyle =\frac{(a-c)-(a-b)}{(a-b)(b-c)(a-c)}[/tex]

Distribute and simplify:

[tex]\displaystyle =\frac{a-c-a+b}{(a-b)(b-c)(a-c)}=\frac{b-c}{(a-b)(b-c)(a-c)}[/tex]

Cancel. Hence:

[tex]\displaystyle =\frac{1}{(a-b)(a-c)}[/tex]

Please find attached photograph for your answer.

Hope it helps

Do comment if you have any query

Answer:

145

.8x = 116 (80% of class is 116)

x=145

Step-by-step explanation:

Answer:

t = D/r

Step-by-step explanation:

you rearrange the equation so that is the subject. when you bring something over the equal sign, it reverses the function so D = r×t becomes t = D/r

Answer:

C

Step-by-step explanation:

They are the same without rotation and translation

Answer:

c

Step-by-step explanation:

9514 1404 393

Answer:

  A. subtraction

  B. division

  C. multiplication

  D. addition

Step-by-step explanation:

Observe what is done to the variable. Choose the operation that turns the unwanted value into the appropriate identity element.

A. 3.75 is added. To make that value be 0, we subtract 3.75.

B. -3 is multiplied. To make that value be 1, we divide by -3.

C. m is divided by 5. To make that 1/5 multiplier be 1, we multiply by 5.

D. 4 is subtracted. To make that value be zero, we add 4.

_____

Additional comment

Since subtraction is the same as addition of the opposite, and division is the same as multiplication by the reciprocal, the only two properties we really need are the addition property and multiplication property. Your grader may disagree.

Answer:

Other dude is right.

Step-by-step explanation:

Be safe, have an amazing day. :)

Step-by-step explanation:

The second equation

[tex]2.4x = 1.2x + 15[/tex]

is the answer for the 1st picture.

2nd, solve for x.

[tex]1.2x = 15[/tex]

[tex]x = 12.5[/tex]

You cant create half a page so let lower it down to 12.

12 is the answer for the second answer.

Answer:

x=60

Step-by-step explanation:

solve, 180-(90+x) = 180-(30+2x)

Answer:

To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative. If the signs are different subtract the smaller absolute value from the larger absolute value

Answer:

i believe its 162

Step-by-step explanation:

hope it helped :>

Answer:

A, B, D, E

Step-by-step explanation:

[tex]\sqrt{81}[/tex] = ± 9 → D and E

Since 9 × 9 = 81 and - 9 × - 9 = 81

[tex]81^{\frac{1}{2} }[/tex] = [tex]\sqrt{81}[/tex] = 9 → B

- [tex]81^{\frac{1}{2} }[/tex] = - [tex]\sqrt{81}[/tex] = - 9 → A

Answer:

B. Kwame’s explanation and solution are incorrect. He reflected the pre-image at step 3, rather than the figure from step 2.

Step-by-step explanation:

I just did it, and thankfully, all was well! :) :) :)

Kwame’s explanation and solution are incorrect. He reflected the pre-image at step 3, rather than the figure from step 2.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation. Rotation, translation and reflection produce congruent images.

Rotating the vertices 180 degrees gives  (-1, –2), (-1, –4), (-2, –3).

Kwame’s explanation and solution are incorrect. He reflected the pre-image at step 3, rather than the figure from step 2.

Find out more on transformation at: https://brainly.com/question/1620969

Answer:

100

Step-by-step explanation:

[tex](100 \times 3) - (100 \times 2) = 100 [/tex]

Answer:

1 day=10outfits

5days=10outfits×5

=50outfits

Step-by-step explanation:

hope this is helpful

Based on the calculation, you can wear the 10 outfits in 50 different ways throughout the week.

To calculate the number of ways you can wear 10 outfits to school each day in a 5-day week, you need to consider the total number of outfits across all days. Since there are 10 outfits and 5 days, the total number of outfit combinations can be calculated by multiplying the number of outfits per day by the number of days:

10 outfits/day × 5 days = 50 outfit combinations

Therefore, you can wear the 10 outfits in 50 different ways throughout the week.

Learn more about permutations

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#SPJ2

Answer:

B: Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.

D: Jorge will not move any point that lies on the line of reflection.

E: Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.

Step-by

i just took the test lol

Answer:

BDE are the answeres

Step-by-step explanation:

took the quiz

Answer:

A 2,3,6 :)

Step-by-step explanation:

thats answer corect me if im wrong hope it help

Answer:

you need to solve for 'X'

mean 49 = 55 + 42 + 32 +48 + 55 + X

49 = (232+X) / 6

49 * 6 = 232 + X

294 = 232 + X

294 - 232 = X

62 = X

so therefore X is 62

Step-by-step explanation:

please give me a brainliest

Answer:

Well the correct answer is 9=2+(x/3) or

(3/x)+2=9

Answer:

cognitive ability

Step-by-step explanation: