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9514 1404 393

Answer:

  a.  m = 2; y intercept = (0, 4); y = 2 x + 4

Step-by-step explanation:

The slope can be found using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (18 -4)/(7 -0) = 14/7

  m = 2

The y-intercept is the first given point: (0, 4).

The equation for the line in slope-intercept form is

  y = mx + b

Here, we have m=2 and b=4, so the equation is ...

  y = 2x +4

Answer:

first you have to find the number of ways 3 men can be chosen, then the number of ways 2 women can be chosen, and then you need to multiply these numbers together to get the number of ways because multiplication will show the total arrangements possibilities. use combination since order does not matter.

number ways for 2 out of 10 women total: 10 choose 2= 45

number of ways for 3 out of 9 men total: 9 choose 3= 84

84x45= 3780

3780 total ways

number of ways

Answer:

The value of k is 14.

Step-by-step explanation:

(x - 2) is a factor of the polynomial

[tex]x - 2 = 0 \rightarrow x = 2[/tex]

This means that [tex]p(2) = 0[/tex]

p(x) = 2x² + 3x - k​

[tex]p(2) = 2(2)^2 + 3(2) - k[/tex]

[tex]0 = 8 + 6 - k[/tex]

[tex]14 - k = 0[/tex]

[tex]k = 14[/tex]

The value of k is 14.

Answer:

2nd

Step-by-step explanation:

i know I don't have an exlanation'

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (x - 5)(x - 4) }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

[tex] {x}^{2} - 9x + 20[/tex]

[tex] = {x}^{2} - 4x - 5x + 20[/tex]

Taking "[tex]x[/tex]" as common from first two terms and "[tex]5[/tex]" from last two terms, we have

[tex] = x(x - 4) - 5(x - 4)[/tex]

Taking the factor [tex](x-4)[/tex] as common,

[tex] = (x - 5)(x - 4)[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

[tex]4 \pi {?}^{2} [/tex]

hope it is helpful to you

Answer

No solution

Step-by-step explanation:

4y + 2x = 18

3x + 6y = 26

You need either the x's or the y's to have the same coefficients.

let's line things up first.

4y + 2x = 18   (multiply by 3)

6y + 3x = 26  (multiply by 2)

to keep numbers relatively small we will multiply the top equation by 3 and the bottom equation by 2. Multiply all terms. This will make the coefficients equal.

12y + 6x = 54

12y + 6x = 52

So, if you subtract them from each other you get :

0 = 2

When this happens the solution set is : no solution

Answer:

Impossible

Step-by-step explanation:

Ok, so we first rearrange for convenience:

2x+4y=18

3x+6y=26

We multiply the two equations to eliminate x:

2x+4y=18 * -3

3x+6y=26 * 2

So:

-6x-12y=-54

6x+12y=52

And now we add the two equations:

0+0= -2

Try multiplying the two equations by any other number which will lead to them cancelling, (eg. -9, 6), still the equation will not work.

Answer:

D

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

=3x^3+8x^2-7x-4-(2x-6)

=3x^3+8x^2-9x+2

Answer:

[tex]60x+75[/tex]

Step-by-step explanation:

We want to find the total amount of money (in cents) of the expression:

[tex]\text{$x$ nickels, $(x+3)$ quarters, and $3x$ dimes}[/tex]

Since each nickel is worth five cents, each quarter 25 cents, and each dime ten cents, we can write that:

[tex]\displaystyle \text{Total}=5(x)+25(x+3)+10(3x)[/tex]

Simplify. Distribute:

[tex]T=5x+25x+75+30x[/tex]

Combine like terms. Therefore, the total amount of money (in cents) is represented by:

[tex]T=60x+75[/tex]

Answer:

-1

Step-by-step explanation:

-4,-5,0,1,2,2,4,5

Hope it works perfectly...

Answer:

9ft =2.743m

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Answer:

3 - 2i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

(1 + 3i) + (2 - 5i)

Step 2: Simplify

Answer:

[tex] {x}^{ - \frac{5}{3} } \\ \frac{1}{ {x}^{ \frac{5}{3} } } [/tex]

Answer:

area is 1/2bh

in an euqilateral triangle, all sides are equal so base and height are 12

1/2 x 12 x 12

1/2 x 144= 72 (B)

Answer: Choice C. [tex]36\sqrt{3}[/tex]

This is the same as writing 36*sqrt(3)

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

Work Shown:

x = 12 = side length of equilateral triangle

A = area of equilateral triangle

A = 0.25*sqrt(3)*x^2

A = 0.25*sqrt(3)*12^2

A = 0.25*sqrt(3)*144

A = 0.25*144*sqrt(3)

A = 36*sqrt(3) .... answer is choice C

Side note: the area approximates to 62.354 square units.

Answer:

Well it all started by drawing some equilateral triangles so that they made a regular hexagon: hexagon from unit length triangles. Then we ...

Answer:

The answer is the square root of 8, or 2root2.

Step-by-step explanation:

Use the distance formula.

d = sqrt((-3-(-5))^2 + (-3-(-1)))

d = sqrt(2^2 + 2^2)

d = sqrt(4 + 4)

d = sqrt8

d = sqrt4 * sqrt2

d = 2 * sqrt2

Answer:

The elevation of Lucas Oil Field is of 715 feet.

Step-by-step explanation:

Elevation of Sports Authority Field:

Of 5280 ft.

Compared to Lucas Oil Field:

275ft than seven times the Lucas Oil Field elevation of x.

Equation:

[tex]275 + 7x = 5280[/tex]

What is the elevation of Lucas Oil Field?

Solving the above equation:

[tex]7x = 5280 - 275[/tex]

[tex]7x = 5005[/tex]

[tex]x = \frac{5005}{7}[/tex]

[tex]x = 715[/tex]

The elevation of Lucas Oil Field is of 715 feet.

Answer:

since it's the lhs we are concerned about, i. e., Y axis, so it must be either up or down. now look at the question, it says 8x2 - (1), it means one lower value of y i. e., 1 unit down

Answer:It is shifted 1 unit down.

Step-by-step explanation:

Answer :

Let in Triangle abc,

a=90,

b = (we have to find)

c = (we have to find)

c + 144=180 (linear pair)

c = 180 - 144

c = 36

a + b + c = 180 (Angle sum property)

90 + b + 36 = 180

126 + b = 180

b = 180-126

b = 54

Answer:

Line A equation = y=-9/8x+69/4

Line B equation = y=-10/9x+131/9

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

i cant not explian that

Answer:

Step-by-step explanation:

Hope it helps

first and last one i think

Answer:

5(n + 3)

Step-by-step explanation:

Factor out 5

5(n + 3)

Answer:

5(n + 3)

should I also give u an explanation

Answer:

Step-by-step explanation:

[tex]log\ \frac{1}{x} = - log \ x \\\\log_a \ a = 1\\\\log \ a^x = x \ log \ a[/tex]

(iii)

[tex]m = log_2 \ \frac{1}{32}\\\\m = log_2 \ \ 32^{-1}\\\\m = - 1 \ log_2 32\\\\m = - 1 \ log_2 \ 2^5\\\\m = -1 \times 5 \ log_2 \ 2\\\\m = -5 \ log_2 \ 2\\\\m = -5 \times 1 = -5[/tex]

(iv)

[tex]log_a \ m = 0\\\\m = a^0 = 1[/tex]                       [tex][ \ log _a \ 1 = 0 \ ][/tex]

(vii)

[tex]log_{32} \ 8 = m\\\\8 = 32^m\\\\8^{ \frac{1}{m}} = 32 \\\\(2^{3 })^ { \frac{1}{m}} = 2^{5}\\\\2^{\frac{3}{m}} = 2^5 \\\\\frac{3}{m} = 5\\\\3 = 5 \times m \\\\m = \frac{3}{5}[/tex]

(viii)

[tex]log_5 \ ( 2m + 5 ) = 3\\\\(2m +5 ) = 5^3\\\\2m + 5 = 125\\\\2m = 125 - 5 \\\\2m = 120 \\\\m = 60[/tex]

(x)

[tex]log_{m^3} \ 64 = \frac{2}{3}\\\\64 = (m^3)^{ \frac{2}{3}}\\\\64 = m^{ 3 \times \frac{2}{3}}\\\\64 = m ^2\\\\\sqrt{64} = m \\\\8 = m[/tex]

Answer: 11%

Step-by-step explanation:

Since the formula for interest is:

I = PRT

where.

P = 1200

I = 99

T = 0.75

I = PRT

R = I/PT

R = 99/(1200 × 0.75)

R = 99/900

R = 11%

Therefore, the rate is 11%

Answer:

the answer is 6%

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