Find the equation in terms of x of the line through the points (-4,-6) and (1,9)

Answer: The correct option is B.

Step-by-step explanation:

(x+5)(2x-1)=3(x+5)

Multiply the parentheses

2x^2 - x + 10x - 5 = 3x + 15

Collect like terms

2x^2 + 9x - 5 = 3x + 15

Move the expression to the left hand side and change its sign, then equate it to 0

2x^2 + 9x - 5 - 3x -15 = 0

Collect like terms

2x^2 + 6x - 20 = 0

Divide each term of the equation by 2

x^2 + 3x - 10 = 0

Rewrite the expression in factorized form

x^2 + 5x - 2x - 10 = 0

Factor the expression

x(x + 5) - 2(x + 5) = 0

(x + 5) (x - 2) = 0

Separate into possible cases but when the product of factors equals 0, at least one factor is 0.

x + 5 = 0———equation (1)

x - 2 = 0———-equation (2)

Solve the equations

x + 5 = 0———equation (1)

Make x the subject

x = 0 - 5

x = -5

x - 2 = 0———equation (2)

Make x the subject

x = 0 + 2

x = 2

Hence, the possible values of x are -5 and 2.

Answer:

5/24.

Step-by-step explanation:

2/6 of 5/8 were beginners and girls

= 1/3 * 5/8

= 5/24.

Answer:

3

Step-by-step explanation:

5(x-1)-2

5(2-1)-2

5×1-2

5-2

3

Hope this helps you :)

please mark brainliest

Answer:

4.383

Step-by-step explanation:

Pythagoras

a² + b² = c²

with c being the baseline of the rectangular triangle (the line opposite to the 90 degree angle).

so, in our example here c=6.5cm, a=QR, b=4.8cm

a² = c² - b² = 6.5² - 4.8² = 19.21

a = sqrt(19.21) = 4.383

Answer:

[tex](f-g)(x)=-4x^2+10x[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=-x^2+6x-1\text{ and } g(x)=3x^2-4x-1[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

Substitute:

[tex]=(-x^2+6x-1)-(3x^2-4x-1)[/tex]

Distribute:

[tex]=-x^2+6x-1+(-3x^2+4x+1)[/tex]

Rearrange:

[tex]=(-x^2-3x^2)+(6x+4x)+(-1+1)[/tex]

Combine like terms. Hence:

[tex](f-g)(x)=-4x^2+10x[/tex]

Answer:

neither

Step-by-step explanation:

Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8

Slope of the second line: (2-3)/4-(-4) = -1/8

They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,

Answer:

6

Step-by-step explanation:

1/4= 6 men

1/2=12 men

therefore 24-12-6=6 men

Answer:

1. 3/5

2. 2/5

3. 1/5

Step-by-step explanation:

I'm pretty sure this is the answer :)

Answer:

Y=40 X=75

Step-by-step explanation:

i think im not 100% on that, been a long time since i did stuff with triangles

Answer:

gdjksbdifkfnfuwiaksujdbf

Answer:

35.97

Step-by-step explanation:

113 divided by pie (3.14)

Answer:

Volumen A = 30000 cm³

Volumen B = 35000 cm³

Volumen C = 72000 cm³

Step-by-step explanation:

a) Volumen A

Largo = 50 cm, Ancho = 30 cm Alto = 20 cm

Volumen = Largo × Ancho × Alto

= 50 cm × 30 cm × 20 cm

= 30000 cm³

b) Volumen B

Largo = 35 cm, Ancho = 20 cm Alto = 50 cm

Volumen = Largo × Ancho × Alto

= 35 cm × 20 cm × 50 cm

= 35000 cm³

c) Volumen C

Largo = 40 cm, Ancho = 60 cm Alto = 30 cm

Volumen = Largo × Ancho × Alto

= 40 cm × 60 cm × 30 cm

= 72000 cm³

Given:

The sequence is:

[tex]-3,5,13,21...[/tex]

To find:

The explicit formula for the given sequence then find the 47th term.

Solution:

We have,

[tex]-3,5,13,21...[/tex]

The difference between two consecutive terms are:

[tex]5-(-3)=8[/tex]

[tex]13-5=8[/tex]

[tex]21-13=8[/tex]

The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.

The explicit formula for an arithmetic sequence is:

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=-3[/tex] and [tex]d=8[/tex] in the above formula, we get

[tex]a_n=-3+(n-1)8[/tex]

[tex]a_n=-3+8n-8[/tex]

[tex]a_n=8n-11[/tex]

Putting [tex]n=47[/tex], we get

[tex]a_{47}=8(47)-11[/tex]

[tex]a_{47}=376-11[/tex]

[tex]a_{47}=365[/tex]

Therefore, the explicit formula for the given sequence is [tex]a_n=8n-11[/tex] and the 47th term is 365.

[tex] - 11a(3a + 2) \\ = - 11a \times 3a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11a \times 2a \\ = - 11 \times 3 \times a \times a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11 \times 2 \times a \times a \\ =\boxed {- 33a {}^{2} - 22a {}^{2}}[/tex]

[tex]I \: hope \: it \: will \: help \: you[/tex]

The length is 5

Step-by-step explanation:

Let the length be x

Width = ( X - 2)

Area = 15

area = length * width

15 = x(x -2)

15 = x² - 2x

x² - 2x - 15 = 0

(x² + 3x) - (5x - 15) = 0

x(x + 3) - 5(x + 15) = 0

x - 5 = 0 or x + 15 = 0

x =5 or x = -15

x = 5

Answer:

68°

Step-by-step explanation:

If a quadrilateral is inscribed in a cirle, the sum of its opposite angles is 180°. Angles B and D are opposite => B+D=180° => D=180°-B=180°-112°=68°

Answer:

68°

Step-by-step explanation:

Since angles B and D are opposite each other, they are supplementary.

Answer:

$1.62

Step-by-step explanation:

Answer:

4.12m

Step-by-step explanation:

(distance of whole shadow - distance of Aisha from tree)

17.95-12.5=5.45m

17.95/5.45=3.29...(scale factor)

3.29...*1.25=4.12m(to the nearest hundredth)

Answer:

0

Step-by-step explanation:

3(3x3)(45x6)(45x7)(56x5)(5x5)x0 =0

Answer:

answer is 18.76 percent.

Step-by-step explanation:

CP= $40

SP= $32.5

Markdown percent=?

now,

markdown %= CP-Sp/CP×100%

=7.5/40×100%

=750/40

=18.75%

The amount to be reduced is:  $40 -  $32.5 =  $7.5

The percentage decrease is: (7.5 : 40) * 100 = 18.25%

Answer:

333831

Step-by-step explanation:

Answer:

10^7 is 10,000,000

3 x 10^3 is 3000

Therefore to find how many times 10^7 is as large as 3.10^3, divide 10,000,000 by 3000

& you’ll get 3333.3

Step-by-step explanation:

Answer:

35.333333333...%

Step-by-step explanation:

954/2700 = 35.33333333333333...%

You could use a calculator to solve these types of problems, but I'm not saying you should use one for every single problem.

Anyway, hope this helps.

It's C.

The value is increasing threefold relative to the previous step.

all other function values increase by a fixed amount and are therefore linear

Answer:

4

Step-by-step explanation:

each term is 4 times the previous term

the common ration is 4

Answer:

r = 4

Step-by-step explanation:

The common ratio r of the geometric sequence is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{1}[/tex] = 4

Answer:

y ≤ 0

Step-by-step explanation:

The correct option is option C. The range of the given function is less than or equal to zero i.e., y ≤ 0.

What are domain and range of a function?

Range is the set of all values that the given function can output, whereas domain is the input or set of values for which the function is defined.

The graph of a function is shown. We know that the range of function is the output of the input of values we give to the function. Another thing to keep in mind is that we often plot functions with the outputs on the vertical axis and the inputs on the horizontal axis.

From graph it is clear that the function is going down from axis to negative y - axis.

So , it is clear that range will be less than or equal to zero.

i.e.,

Range is :

y ≤ 0

Therefore , the correct option is option C. The range of the given function is less than or equal to zero i.e., y ≤ 0.

Learn more about range of a function here :

https://brainly.com/question/10197594

#SPJ2

Step-by-step explanation:

hakdogg happyly ever after

Answer: C

Step-by-step-explanation: Given

- (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side

- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )

- 2 ≤ x + 11 ( subtract 11 from both sides )

- 13 ≤ x , thus

x ≥ - 13

Since x can equal - 13 then a solid circle at - 13 represents the solution

Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.

Then the graph representing the solution is C

Answer:

Ascending order

Step-by-step explanation:

Ascending numbers are numbers that begin from smallest to biggest.