Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form. Select one:

Don't use files please

a. y=-3/4x+11/4

b. y=3/4x+11/4

c. y=-4/3x+2/3

d. y=-3/4x+5/4

the first, (f+g)(x) is f(x) + g(x)

calculating it like:

x² + 7x + (8 -x²)

= x² + 7x + 8 -x²

= 7x + 8

you just writ it down as a calculation and calculate it. i hope that helps understanding the concept/basic idea. please let me know wich ones you need more help with.

edit1: the domain is the range of possibilities wich x we can plug into the new equation

Answer:

A. increasing curve

Step-by-step explanation:

exponential equations always have a curve, so you know it has to be the one about a curve.

Answer:

5/9

Step-by-step explanation:

If a variable y is directly proportional to x, then;

y = kx where;

k is the constant of proportionality

Given the expression y = 5/9 x

On comparing with the general formula;

kx = 5/9 x

k = 5/9

Hence the constant of proportionality of the expression is 5/9

Answer:

5/9

Step-by-step explanation:

i tried it on khan and its right trust me

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.

Step-by-step explanation:

The statement is equivalent to the following mathematic expression:

[tex]\left(5 + 2\sqrt{2})^{2} = a + b\cdot \sqrt{6}[/tex] (1)

By definition of the perfect square trinomial:

[tex]25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}[/tex]

[tex]33 + 20\sqrt{2} = a + b\cdot \sqrt{6}[/tex]

And by direct comparison we have the following system:

[tex]a = 33[/tex] (2)

[tex]b\cdot \sqrt{6} = 20\sqrt{2}[/tex] (3)

By (3), we solve for [tex]b[/tex]:

[tex]b = \frac{20}{\sqrt{3}}[/tex]

[tex]b = \frac{20\sqrt{3}}{3}[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.

Answer:

x = 71.5 in

Step-by-step explanation:

Remember the SOHCAHTOA rule

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case, we use: CAH.

cos(52) = 44/x

x = 44/cos(52)

x = 71.5 inches

Answer:

There is a 50% chance of getting a odd number.

Step-by-step explanation:

1-10 have 5 old numbers and they are 1, 3, 5, 7, and 9.

5/10 = 0.5 = 50%

5 out of 10

Answer:

x=2

Step-by-step explanation:

The x is known which means that it is the one that is parallel to the y axis.

Answer:

x = 2

Step-by-step explanation:

The y axis is a vertical line

x = 2 would create a vertical line making it parallel with the y axis

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

u just gave that are we meant to solve it is there anything to substitute into it what are we actually meant to do?

Step-by-step explanation:

Answer:

unbiased

Step-by-step explanation:

it would be biased if you lets say survey the history club kids

Answer:

Diameter: 10.8 cm

Circumference (in terms of π): 10.8π cm

Circumference (approximate): 33.91 cm

Step-by-step explanation:

Hi there!

We're given:

1) Determine the diameter

[tex]d=2r[/tex]

Multiply the radius 5.4 cm by 2

5.4 × 2 = 10.8

Therefore, the diameter of the circle is 10.8 cm.

2) Determine the circumference of the circle

[tex]C=\pi d[/tex]

Plug in the diameter 10.8

[tex]C=10.8\pi[/tex]

Therefore, the circumference of the circle in terms of π is 10.8π cm.

3) Determine the approximate circumference of the circle

[tex]C=10.8\pi\\C=10.8(3.14)\\C=33.91[/tex]

Therefore, the approximate circumference of the circle is 33.91 cm.

I hope this helps!

Answer:

[tex]27a^{3} +27a^{2}b+9ab+b^{3}[/tex]

Step-by-step explanation:

[tex](3a+b)(3a+b) = 9a^{2}+6ab+b^{2}\\(9a^{2}+6ab+b^{2})(3a+b) = 27a^{3} + 27a^{2}b +9ab^{2} +b^{3}[/tex]

Answer:

Step-by-step explanation:

9a^3+18a^2b+9ab^2+b^2

Find the area of the full circle:

Area = pi x r^2

Area = 3.14 x 17^2

Area = 907.46 square units

A full circle is 360 degrees. The sector is 120degrees.

Multiply the area of the circle by the sector degrees/ full circle degrees

907.46 x 120/360 = 302.486 square units round off as needed.

Answer:

289/3[tex]\pi[/tex] m² or 302.6400923... m²

Step-by-step explanation:

These type of questions are very simple, you just have to know how to approach them properly. I'll give you the general structure using this as an example for your understanding.

The general structure goes like this:

Area of a circle is [tex]\pi r^{2}[/tex], so [tex]\pi[/tex]×17² = 289[tex]\pi[/tex] m²

The angle is 120° out of 360°, think of a sector as the percentage of the area of the circle.

120/360 = 1/3

1/3 × 289[tex]\pi[/tex] = 289/3[tex]\pi[/tex] m² or 302.6400923... m²

Answer:

Gradient = -5

Step-by-step explanation:

The gradient of a line is the slope of the line.

The standard form of the line equation is y = mx  + b

where m is the slope ( or gradient) b is the y - intercept.

Given :

2y = -10x + 1

[tex]y = -\frac{10}{2} x + \frac{1}{2}\\\\y = -5x + \frac{1}{2}\\\\Therefore , \ gradient \ is \ -5[/tex]

The gradient of the line whose equation is 2y=-10x+1 is -5.

Gradient could be a measure of how steep a slope or a line is.

The equation of the road is 2y=-10x+1

y=-5x+1/2

Therefore the gradient of the line is that the coefficient of x which is -5.

Hence the gradient of the line is -5.

Learn more about gradient at https://brainly.com/question/23016580

#SPJ2

Answer:

1-

2X + 3Y = 330

2-

X + Y + Z = 3890

3-

1/3X + 2/3X = X

4-

X + Y = 27

Step-by-step explanation:

Para plantear ecuaciones para las siguientes situaciones se deben realizar los siguientes razonamientos lógicos:

1- Juan compró 2 panchos y 3 hamburguesas y le cobraron $330.

Panchos = X

Hamburguesas = Y

2X + 3Y = 330

2- Realizo un pago de la factura de luz, agua y cable en total me cobran $3890.

Luz = X

Agua = Y

Cable = Z

X + Y + Z = 3890

3- Un padre reparte un dinero X que recibió entre su esposa y su hijo, a su esposa le da el doble que al hijo.

Esposa = 2/3X

Hijo = 1/3X

1/3X + 2/3X = X

4- En el salón de clase hay 27 alumnos entre mujeres y varones.

Mujeres = X

Varones = Y

X + Y = 27

Answer:

3 = 20

5 = 20

8= 160

Step-by-step explanation:

angle 2 and 3 are on the same line, so 180 - 160 is 20 degrees

rule of alternate interior angles: angle 5 is equal to 3

rule of alternate exterior angles: angle 8 is equal to 2

Answer: 70 degrees 35 times 2

Answer:

The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.

Step-by-step explanation:

trust

Answer:

The correct answer is:

(1) d

(2) b

(3) a

(4) c

(5) e

Step-by-step explanation:

The given problem is incomplete. Find the attachment of the full question.

According to the question,

(1)

By putting x = -2, we get

[tex]f(x)=(-2)^3-5[/tex]

       [tex]=-8-5[/tex]

       [tex]=-13[/tex]

(2)

By putting x = 0, we get

[tex]f(x)=(0)^3-5[/tex]

       [tex]=0-5[/tex]

       [tex]=-5[/tex]

(3)

By putting x = 3, we get

[tex]f(x)=8[/tex]

(4)

By putting x = 9, we get

[tex]f(x)=(2)^{9-7}[/tex]

       [tex]=(2)^2[/tex]

       [tex]=4[/tex]

(5)

By putting x = 11, we get

[tex]f(x)=(2)^{11-7}[/tex]

       [tex]=(2)^4[/tex]

       [tex]=16[/tex]

Answer:

-8

Step-by-step explanation:

well since the equation has the same base of 11, you can just solve for x as you normally would. so the question becomes:

4x+1 = 3x -7

subtract one from both sides

4x = 3x - 8

subtract 3x from both sides

x = - 8

Answer:

x=  -8

Step-by-step explanation:

Answer:

$1,976.25

Step-by-step explanation:

Since one square foot cost $ 7.50 we simply multiply that by 263.5.

263.5 × 7.50= $1,976.25

Answer:

the second one

Step-by-step explanation:

Answer:16500

Step-by-step explanation:

That is, for every 100 people, there are 26 people aged between 11 and 20. So 63500 will have 16500 people aged 20.

Answer:

x =  [tex]\sqrt{14}[/tex]

Step-by-step explanation:

[tex]\sqrt{7}[/tex] / sin(45) = x / sin(90)  (Cause its a square, the edges are 90 degrees)

[tex]\sqrt{14}[/tex] = x / 1

x = [tex]\sqrt{14}[/tex]

Answer:

x = 100

It is on a straight line and so, it equals to 180.

180 - 80 = 100