Find the intersection point for the following linear functions.
Rx) = 2x + 3
8(x) = -4x - 27

a) Evaluate the given function at each value of x. We have f(x) = 2x + 3.

• If x = -2, then

f(-2) = 2 (-2) + 3 = -4 + 3 = -1

• If x = -1, then

f(-1) = 2 (-1) + 3 = -2 + 3 = 1

• If x = 0, then

f(0) = 2 (0) + 3 = 0 + 3 = 3

and so on.

b) Kind of a silly question. Of course f(x) is a function, the instructions for part (a) say so!

But the real reason f(x) is indeed a function is that no single value of x returns more than one value of f(x).

Answer:

841.53

Step-by-step explanation:

equation for annual intrest is

[tex]I*y^x=f[/tex]

where I is your initial amount, y is equal to [tex]1+(interest /100)[/tex]

and x is equal to the amount of years you're looking for, with f being the final balance

so for this questions, the equation is as follows

[tex]600*(1+7/100)^5=f\\600*1.07^5=f\\600*1.40255=f\\841.53=f\\[/tex]

Answer:

Step-by-step explanation:

The point of closest approach is on a line perpendicular to the zip line

perpendicular lines have negative reciprocal slopes, so the perpendicular line has slope (8/3)

y = (8/3)x + b

adding our known point (3, 16)

16 = (8/3)3 + b

b = 8

y = (8/3)x + 8

now find where the two lines intersect by solving two equations with two unknowns

y = (-3/8)x + 8

as the two lines have a common y intercept of 8, that is the common point

(0, 8)

The distance from (0, 8) to (3, 16) is

d = √((3 - 0)² + (16 - 8)²) = √73 = 8.5440037453...

d = 8.5 ft

The probability of getting an odd number on the first roll and less than 3 on the second roll is 1/6.

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of getting an odd number on the first roll is 3/6

since there are three odd numbers (1, 3, 5) out of six possible outcomes (1, 2, 3, 4, 5, 6).

The probability of getting less than 3 on the second roll is 2/6, since there are two possible outcomes (1, 2) out of six.

To find the probability of both events happening, we multiply the probabilities:

P(odd on first roll and less than 3 on second roll) = P(odd on first roll) × P(less than 3 on second roll)

= (3/6)×  (2/6)

= 1/6

Therefore, the probability of getting an odd number on the first roll and less than 3 on the second roll is 1/6.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

Step-by-step explanation:

please, this is so easy !

so, please, burn this into your brain forever : the sum of all angles in a triangle is always (really, always) 180°.

so,

180 = 25 + 100 + A

A = 55°

ΔABC has: ∠CAB + ∠ABC + ∠ACB = 180°

so:  ∠CAB = 180° - ∠ABC - ∠ACB = 180° - 100° - 25° = 55°

ANSWER: ∠CAB = 55°

ok done. Thank to me :>

Answer:

10

Step-by-step explanation:

1 loaf if bread= 2/3 cup

15 loaves of bread= 2/3 × 15

= 10

Answer:

c. m < 13

Step-by-step explanation:

13 - 7 is equal to 6 so m must be less than 13 to be less than 6.

Answer:

i think surface area of Y is 539 cm²

subtract 6 from both sides of the equation and simplify and your answer should be f = 55 over 2

Answer:

7. Is answer

Step-by-step explanation:

Because 3+4=7

Answer:

Left 3, top 2.4, right 3.6, bottom 4. Scale factor 5

Step-by-step explanation:

We have:

[tex]1-\frac{1}{3} >0[/tex]    ;   [tex]1- \frac{11}{17}>0[/tex]  ;    [tex]1-\frac{132}{157}>0[/tex]   ⇒ right

[tex]\frac{-1}{7}, \frac{-51}{107},\frac{-347}{949} <0[/tex]  ⇒ wrong

[tex]\frac{7}{5}, \frac{131}{47} ,\frac{945}{711} >1[/tex] ⇒ wrong

ANSWER: [tex]\frac{1}{3} ,\frac{11}{17} ,\frac{132}{157}[/tex]

ok done. Thank to me :>

Answer:

Being financially literate helps a person to distinguish between financial decisions that will be beneficial, and that will be detrimental to their financial future. Having a plan for your finances will help you meet your short and long-term needs, without going beyond your income

Step-by-step explanation:

Ppbags where here

Answer:

 (b)

Step-by-step explanation:

A suitable calculator or spreadsheet can find the matrix product for you. Here, the answer choices differ in their upper left term, so we can determine the correct choice by finding the value of that term. It is the dot product of the first row of B and the first column of A.

  (5)(3) +(7)(3) +(3)(2) = 15 +21 +6 = 42

This matches choice B.

A function is an expression that defines a relationship between an independent variable and a dependent variable.

The number of bacteria colonies after 2 hours is 220.

It is an expression that defines a relationship between an independent variable and a dependent variable.

We have,

P(t) = 4t² + 27t + 150

Where t = time

P(t) = population of a slowly growing bacteria colony after a particular time

The growth rate after 2 hours:

P(2) = 4 x (2)² + 27 x 2 + 150

P (2) = 16 + 54 + 150

P (2) = 220

Thus the number of bacteria colonies after 2 hours is 220.

Learn more about functions here:

https://brainly.com/question/17440903

#SPJ5

Step-by-step explanation:

although there is no graph visible here, I suspect this is the same question as I just answered twice already.

the slope is -6.

D is the right answer.

all triangles are similar but B and D may be the answer

Answer:

11∑N=1 9000 (1.048)^n

Step-by-step explanation:

First month = a = 9,000burgers

Common ratio = r = 1 + 0.48 = 1.048

Total number of months = n = 11; from February to December.

Formula to determine the number of burgers the restaurant expects to sell this year:

       =   11∑N=1 9000 (1.048^n)

Answer:

a

Step-by-step explanation:

Answer:

  1.  x^2 +2x -24 = 0

  2.  x^2 -7x +10 = 0

Step-by-step explanation:

If you look at the factored and expanded forms of a quadratic with solutions p and q, you see ...

  (x -p)(x -q) = x^2 -(p+q) +pq

The x-term coefficient is the opposite of the sum of solutions.

The constant is the product of solutions.

This knowledge lets you write down the standard form equation with no particular effort.

1.  x^2 +2x -24 = 0

2.  x^2 -7x +10 = 0

Answer:

94.74

Step-by-step explanation:

Hope this helps!

Answer:

94.74

Step-by-step explanation:

Answer:

y=4x-3

Step-by-step explanation:

Answer:

DO i care... no ask your dam teacher won der why u aint pass

Step-by-step explanation:

Step-by-step explanation:

1 10.38

2 16.77

3 11.499

4 11.486

5 0.0947

6 30.52875

7 525

8 32.57862069

9 16.5625

Answer:

50 cm

Step-by-step explanation:

let x be the heigth we are looking for.

Each rectangle that covers the cuboid is the product of two dimensions [tex](60\cdot40;\ 60x;\ 40x)[/tex]

Since it's a cuboid, we assume opposite sides are equal.

So each rectangle is counted twice:

[tex]Area=2(60\cdot40+60x+40x)=14800[/tex]

Now, we just isolate x:

[tex]60\cdot40+60x+40x=7400\\2400+100x=7400\\100x=5000[/tex]

Answer:50 cm

Answer:

H=2  r=1

Step-by-step explanation:

P= 2h+4r + πr = π+8

h= π+8- πr -4r/2

(pls give brainliest if helps!)

Answer:

The interest is: $120.00 +2000

Step-by-step explanation:

Answer:

h(x) = x - 2

Step-by-step explanation:

h(x) = -2x - 4 -(-3x - 2)

-2x - 4 + 3x + 2

x - 2

Answer:

C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection

Step-by-step explanation:

A. isn't correct because all four sides aren't congruent, only the pair of opposite sides are congruent. Sense only opposite side are congruent you can only reflect the opposite sides onto each other and not diagonally meaning B. and D. are incorrect leaving C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection as the correct answer