let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q and p, if the y intercept is (0,4)?

Answer:

100+50t

Step-by-step explanation:

Answer:

P = 100+50t

The y-intercept of the function is 100 which represents the initial fee of using the studio.

Answer:

x-int: (3, 0)

y-int: (0, -3)

General Formulas and Concepts:

Alg 1

Slope-Intercept Form: y = mx + b

The y-intercept is the y value when x = 0.

Another way to reword that is when the graph crosses the y-axis.

The x-intercept is the x value when y = 0.

Another way to reword that is when the graph crosses the x-axis.

Step-by-step explanation:

Step 1: Define equation

x - y = 3

Step 2: Convert to slope-intercept form

Step 3: Find x/y-intercepts

x-int

y-int

Answer:

x=3

y=-3

Step-by-step explanation:

Answer:

y-3x=4

Step-by-step explanation:

1-4/-1-0=3

1 = 3(-1)+b

1=-3+b

b=4

The equation of linear equation in standard form consisting points (-1, 1) and (0, 4) is,

⇒ y = 3x + 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-1, 1) and (0, 4)

Now,

Since, The equation of line passes through the points (-1, 1) and (0, 4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 1) / (0 - (-1))

m = 3 / 1

m = 3

Thus, The equation of line with slope 3 is,

⇒ y - 1 = 3 (x - (-1))

⇒ y - 1 = 3 (x + 1)

⇒ y - 1 = 3x + 3

⇒ y = 3x + 3 + 1

⇒ y = 3x + 4

Therefore, The equation of linear equation in standard form is,

⇒ y = 3x + 4

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Answer:

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Step-by-step explanation:

Associative property is applied on three numbers which states that when two numbers are being added or multiplied the order of addition and multiplication doesn't matter i.e. the answer is same.

If a,b and c are three numbers then associative property for multiplication can be given as:

a.(b.c) = (a.b).c

The given expression is:

[tex]14(\frac{1}{7}.\frac{2}{5})[/tex]

Applying the associative property for multiplication we get

[tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Hence,

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Answer:

corresponding angles

Alternate angle

cointerior angle

Answer:

7.3 I think

Step-by-step explanation:

Answer:

When you add polynomials, you combine only like terms together. When you multiply polynomials, you multiply all pairs of terms together.

Step-by-step explanation:

.

Answer:

adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about

Answer:

I believe the answer is p = -7/5

Step-by-step explanation:

Here's the equation and the workthru of my logic:

-5 (p + 3/5) = -4

Divide both sides by -5 to remove the -5 from the left side of the equation,

p + 3/5 = -4/5,

Subtract 3/5 from both sides to solve for p,

p = -4/5-3/5

p = -7/5

Solution is -7/5

Hope this helps.

Good luck!

Answer: 64 fluid ounces

Step-by-step explanation:

Amount of water in the container = 128 fluid ounces

Amount drank by Toya every hour = 8 fluid ounces

For 8 hours, Toya would have drank:

= 8 × 8 fluid ounces

= 64 fluid ounces

To calculate the amount of fluid ounces

thataree in the container after 8 hours, we then subtract 64 fluid ounces from 128 fluid ounces. This will be:

= 128 fluid ounces - 64 fluid ounces

= 64 fluid ounces

Answer: x=10 y=5 = 15xy

Step-by-step explanation:

Answer:

f(x) = |x + 2|

General Formulas and Concepts:

Transformations Graph: f(x) = a|bx - c|+ d

Step-by-step explanation:

Step 1: Define

We see a transformation from a parent function of the absolute value.

Parent Graph: f(x) = |x|

Step 2: Find equation of graph

We see the transformation moving horizontally 2 units to the left.

c = -2

f(x) = |x + 2|

Answer:

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

Let say Mira's breakfast Price = B $

Tip she left = 20 %

20 % Tip amount =  (20/100) B =  0.2B $

Tip Amount She left = $ 1.8

Equating Tip Amount

0.2B = 1.8

=> B = 9

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

Step-by-step explanation:

Jimmy's group : has 841 students

Lauren's group: has 351 students

9 vans  16 buses

8 vans 5 buses              

Vans: V

Buses: B

9v + 16b = 841

9v + 16b = 841

        -16b     -16b

9v/ 9 = 841 /9 - 16b/9

8( 841/9 - 16b/9) +5b = 351

v - (841/ 9 - 16b / 9 )

8 (841 / 9 - 16b/9) +5b =  351

6728/9 - 128b / 9 +5b = 351

-128b/9 + 45b/9 = -83/9b

6728/9 -83/9

- 6728/9   +83/9 = 3159/9 - 6728/9

(9)83b / 9 = -3569 (9)/9

-83b = -3564

-83        -83

B = 43 students

8v + 5b = 351  

8v + 5 (43) = 351

8v + 215 = 315

      -215      -215

8v = 136

8        8

V = 17 students

43 students can fit on a bus and 17 students can fit in a van.

Answer:

Step-by-step explanation:

2

Answer:

if she walks 2 miles in 30 minutes, she will walk 8 miles in 120 minutes.

Step-by-step explanation:

Can i get brainliest plzzz?

Answer:

8

Step-by-step explanation:

They can walk 8 miles in 120 minutes she can walk 1 mile in 15 minutes and 120/15 is 8.

Answer:

y=-2x+19

Step-by-step explanation:

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:  m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

Now we have,

m= 3-7/8-6

m=-2. Since m=-2, the equation is y=-2x+b.

To find b, think about what your (x,y) points mean:

(6,7). When x of the line is 6, y of the line must be 7.

(8,3). When x of the line is 8, y of the line must be 3.

Substitute them to the equation  y=-2x+b.

You can use either (x,y) point you want..the answer will be the same:

(6,7). y=mx+b or 7=-2 × 6+b, or solving for b: b=7-(-2)(6). b=19.

(8,3). y=mx+b or 3=-2 × 8+b, or solving for b: b=3-(-2)(8). b=19.

So, the equation of the line that passes through the points

(6,7) and (8,3)  is  y=-2x+19.

The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

Step-by-step explanation:

Given information:

[tex]\text{\bold{The diameter of cone}}=10\;\rm{ ft.}[/tex]

[tex]\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}[/tex]

[tex]\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.[/tex]

[tex]\text{Volume of water tank}=27 . \pi \; \rm ft^3[/tex]

Now,

If ,we take a right circular cone with radius r and height h , its volume

[tex]\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h[/tex]

Now, the radius of cone when the volume of water tank is given

[tex]\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi[/tex]

The ratio of height to radius of the cone :

[tex]\text {h/r} =3[/tex]

[tex]\text r = \text h/3[/tex]

Now calculate :

[tex]dV/dt= dV/dh \times dh/dt[/tex]

Which gives:

[tex]12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}[/tex]

As ,

[tex]27=\frac{1}{27 \times h}[/tex]

[tex]\text h^3=27^2\\\text h= 9\\[/tex]

Now,

[tex]dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\[/tex]

Hence, The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

For more information visit:

https://brainly.com/question/13283964?referrer=searchResults

Answer:

130 degrees

Step-by-step explanation:

ABF and BFE are alternate angles. So BFE is 65

BG=FG so FBG is 65. x the exterior angle is 65+65=130 degrees

Answer:

10x⁵ + 8x⁴

Step-by-step explanation:

Answer:

Step-by-step explanation:

If she's represented by diamonds, then that's 2/25 which is 8%, C

Answer:

Step-by-step explanation:

8%

Answer:

I am sorry. To answer a test is against the Honor Code, I cannot help you.

Step-by-step explanation:

Remember PEMDAS :)

Answer:

2.125

Step-by-step explanation:

Answer:

b) simplify the constant

c)isolate the variable by dividing the coefficient

Step-by-step explanation:

Answer:

Step-by-step explanation:

the formula for calxulating the area if the isosceles triangle is expressed as;

[tex]A = \frac{1}{2}bh[/tex]

b is the base of the triangle

h is the altitude

Given

b = 16ft

h = 10ft

Substitute

A = 1/2 * 16 * 10

A = 8*10

A = 80ft²

Hence the area of the triangle is 80ft²

b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side

s² = h²+(b/2)²

s² = 10²+(16/2)²

s² = 10²+(8)²

s² =100+64

s² =164

s = √164

s = 12.8ft

Hence one side of the triangle is 12.8ft

Answer:

[tex]\frac{80}{1.94}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

im pretty sure it would be -8-(-6)=-2 for the first one

Answer:

a. 5

b. 1

c. 132

d. -2

Step-by-step explanation:

a. The square root of 4 is 2, the absolute value of -3 is 3. 2 + 3 = 5

b.  4 - (-3) / -7 = 7/ -7 = 1

c. 2 * 4^3 = 128 + (-3) - (-7) = 132

d. 2 (-7 + 3) = -8, square root to the third power of -8 is -2

I hope this helped, please mark Brainliest, thank you!!