Consider the following two functions: f(x) = -.25x+4 and g(x)= .5x-1. State:

a. The y-intercept, x-intercept and slope of f(x)

b. The y-intercept, x-intercept and slope of g(x)

c. Determine the point of intersection. State your method used.

Answers

Answer 1

Answer:

f(x)= -25x+4

y-inter x=0

y= -25(0)+4

=4

x-inter y=0

0= -25x+4

-4= -25x

x=4/25


Related Questions

PLS HELP ASAP. NO LINKS
When z= 9, the value of z2 + 1 is

Answers

answer is 82

substitute z for 9

9^2 = 81+ 1= 82

What is the difference between function and operator in math?

Answers

Step-by-step explanation:

In mathematics, a function is a mapping from set A to a set B that has a unique output for any given input. “Operators” or “operations” are typically defined as a special type of function.

The difference is fiction is one thing and operator is another

If the switches at 2, 3, 4, and 5 are independently closed or open with probabilities 0.1 (for closed) and 0.9 (for open), what is the probability of a closed path between the input line on the left and the output line on the right

Answers

Complete Question

The Complete Question is attached below

Answer:

[tex]P(X)=0.0163[/tex]

Step-by-step explanation:

From the question we are told that

Probability of open [tex]P(x)O=0.9[/tex]

Probability of open [tex]P(x)C=0.1[/tex]

Generally the equation for Probability of a closed path between the input line on the left and the output line on the right is  mathematically given by

 [tex]P(X)=(P(3\&5)C*P(2\&4)C)+(P(2\&4)O+P(2\&4)C*P(1\&3)O)+(P(1\&3)C-P(3\&5)C*P(2\&4)C)[/tex]

 [tex]P(X)= 0.1*0.1*(0.1*0.1+0.9*0.9 ) + 0.1*0.1*(0.9*0.9 + 0.1*0.1) - 0.1*0.1*0.1*0.1[/tex]

 [tex]P(X)=0.0163[/tex]

Customer: "A previous representative told me that I would receive a 17% discount on my $123.76 service plan. How much is the discount?" Representative: "You will receive a discount of __________

Answers

Final Price: $108.88
Savings: $22.30
You will receive a discount of $22.30

Answer:

$21.04

Step-by-step explanation:

123.76 x 17% = 21.0392 = 21.04

I will give BRAINLIEST to whoever answers correctly first!!!

Sophie wants to buy a pair of scissors that cost $1.82. If she gives the cashier a five dollar bill, how
much change should she get back?

Answers

$3.18

Explanation: I am a cashier hahaha

Answer:

Sophie will get $3.18 back in change.

Step-by-step explanation:

You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.

Someone help me please

Answers

9514 1404 393

Answer:

  $448

Step-by-step explanation:

The given formula will tell you the amount of interest earned:

  I = Prt

  I = $400·0.02·6 = $48

The account balance will be the sum of the original deposit and the interest it earns:

  $400 +48 = $448 . . . . balance after 6 years

Two functions are shown in the table below f(x) equals -X squared plus 4X +12 And G(x)
equals X +2

Answers

Answer:

[tex]x = -2; x = 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -x^2 + 4x + 12[/tex]

[tex]g(x) = x +2[/tex]

Required

For what value of x is: [tex]f(x) = g(x)[/tex]

[tex]f(x) = g(x)[/tex] implies that

[tex]-x^2 + 4x + 12 = x + 2[/tex]

Collect like terms

[tex]-x^2 + 4x -x + 12 -2 = 0[/tex]

[tex]-x^2 + 3x + 10 = 0[/tex]

Expand

[tex]-x^2 + 5x-2x + 10 = 0[/tex]

Factorize

[tex]-x(x - 5)-2(x - 5) = 0[/tex]

Factor out x - 5

[tex](-x - 2)(x - 5) = 0[/tex]

Solve for x

[tex]-x - 2 = 0; x - 5 = 0[/tex]

So:

[tex]x = -2; x = 5[/tex]

I need the answer the question is in the picture

Answers

Answer:

D) 1 3/4

Step-by-step explanation:

Look below (Will give brianliest)
NO link and pls explain

Answers

Answer:

80

Step-by-step explanation:

brainliest please ;>

Answer is 140

Here angle 6+ angle 5 + angle 4 = 360

120 + 110 + angle 4 = 360

Angle 4 = 360 - 220 =140


Mark brainliest please

0.01 0.03 0.09 0.35 0.41 0.41 0.41 0.42 0.54 0.57 0.71 0.77 0.83 0.87 0.93 0.95 0.99 1.01 1.01 1.09 1.12 1.33 1.34 1.45 1.48 1.49 1.54 1.65 1.73 1.82 1.87 1.95 1.99 2.02 2.03 2.16 2.32 2.33 2.35 2.46 2.48 2.55 2.61 2.62 2.63 2.69 2.72 2.72 2.85 2.96
find the median

Answers

Step-by-step explanation:

[tex]median = \frac{1.48 + 1.49}{2} [/tex]

[tex] = \frac{2.97}{2} [/tex]

[tex] = 1.485[/tex]

NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.

The graph of which function has an amplitude of 3 and a right phase shift of π/4?

A: y= 3sin2(x- π/4)

B: y = 3 + sin2(x- π/4)

C:y = 3 + sin2(x+ π/4)

D:y = 3sin2(x+π/4)​

Answers

Answer:

[tex]D.\ y = 3\sin(2(x + \frac{\pi}{4}))[/tex]

Step-by-step explanation:

Given

[tex]A = 3[/tex] --- Amplitude

[tex]C = \frac{\pi}{4}[/tex] --- Right phase shift

Required

Identify the function

A sinusoidal function is defined as:

[tex]y = A\sin(B(x + C)) + D[/tex]

Substitute values for A and C

[tex]y = 3\sin(B(x + \frac{\pi}{4})) + D[/tex]

By comparison, only option (D) has the above format where

[tex]y = 3\sin(2(x + \frac{\pi}{4}))[/tex]

Hence (D) is correct

The company has only two division division eight and division be last year division a made 60% of the companies total revenue and division be made 40% of the total revenue this year division as revenue has decreased by 35% and division bees revenue has decreased by 5% which division had higher revenue this year?

Answers

9514 1404 393

Answer:

  Division A

Step-by-step explanation:

Suppose last year's revenue for the company was 100 units.

Last year's Division A revenue was 0.60×100 = 60. This year's revenue is 1-35% = 65% of last year's, so is ...

  60 × 0.65 = 39 . . . . units

__

Last year's Division B revenue was 0.40×100 = 40. This year's revenue is 1-5% = 95% of last year's, so is ...

  40 × 0.95 = 38 . . . . units

__

At 39 units this year, Division A still has the higher revenue than Division B at 38 units.

HELP ME PLZ WILL MARK U AS BRAINLIEST

Answers

Answer:

yes

Step-by-step explanation:

the difference of mean is 10.5

the mean for Mrs.S was 26.7 while for Mr.C it was 37.2.

using this info we can infer that Mr.C uses 10-11 more textbooks monthly

What is the solution of |4 − y| = 1?

A. y = 3 or y = 5

B. y = −3 or y = −5

C. y = −3 or y = 5

D. y = 3 or y = −5

A is the answer.

Answers

Answer:

A

Step-by-step explanation:

|4 − y| = 1

drop absolute value lines

create two problems

4 - y = 1

and

4 - y = -1

solve for y

What is the result when 16x + 9 is subtracted from 4x + 6

Answers

Answer:

(4x+9)-(16x+9) = 4x+9-16x-9

= -12x

What is the surface area of the rectangular prism below? 8 19 8​

Answers

The answer is c because S=Ph+2b

Answer:

736 units squared (c)

Step-by-step explanation:

Took the quiz

Write the word sentence as an inequality.
A number x is greater than 0.

Answers

Answer:

x>0

I am very certain.

brainliest?

Geometry question finding radius and area
Thank You!!

Answers

Answer:

The radius of Circle D is 8 cm.

The perimeter of ΔABC is (24 + 6√7) cm.

Step-by-step explanation:

First, let the intersection point below D be K and let the intersection point between A and B be J.

Since segment BK, which passes through the center of the circle, is perpendicular to chord AC, BK also bisects AC. Hence, AK = CK.

Connect points A and D to create radius AD. Note that BD is also a radius. Hence, AD = BD.

For ΔABK, by the Pythagorean Theorem:

[tex]AB^2=(BD+1)^2+AK^2[/tex]

Since AB = 12:

[tex]144=(BD+1)^2+AK^2[/tex]

For ΔADK, by the Pythagorean Theorem:

[tex]AD^2=1^2+AK^2[/tex]

Since AD = BD:

[tex]BD^2=1+AK^2[/tex]

Subtract the second equation into the first:

[tex]144-(BD^2)=(BD+1)^2+AK^2-(1+AK^2)[/tex]

Simplify:

[tex]144-BD^2=BD^2+2BD+1-1[/tex]

Hence:

[tex]2BD^2+2BD-144=0[/tex]

Simplify:

[tex]BD^2+BD-72=0[/tex]

Factor:

[tex](BD+9)(BD-8)=0[/tex]

By the Zero Product Property:

[tex]BD=-9\text{ or } BD=8[/tex]

Since the radius must be positive, the radius is 8 cm.

Since we already know AB and BC, we need to find AC to find the perimeter.

Note that AC = AK + CK = 2AK.

From the second equation:

[tex]BD^2=1+AK^2[/tex]

Thus:

[tex]AK=\sqrt{BD^2-1}=\sqrt{(8)^2-1}=\sqrt{63}=3\sqrt{7}[/tex]

Hence:

[tex]AC=2(AK)=2(3\sqrt7)=6\sqrt7[/tex]

Therefore, the perimeter of ΔABC is:

[tex]P=(12)+(12)+(6\sqrt7)=24+6\sqrt7\text{ cm}[/tex]

What type of correlation is shown in the graph ? positive no correlation linear negative

Answers

Answer:

positive

Step-by-step explanation:

What type of triangle has a circumcenter on the exterior of the triangle?

Answers

Answer:

acute triangle

if i m wrong please dont mind and

correct me

Which statement is true about the equations -3x 4y = 12 and #*-}y=I?
O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
O The system of the equations has no solution; the two lines are parallel.
The system of the equations has an infinite number of solutions represented by either equation.

Answers

The system of the equations has no solution; the two lines are parallel

On a piece of paper, graph y = -x2 + 4x - 3 and identify the zeros. Then determine which answer choice matches the graph that you drew and correctly identifies the zeros.​

Answers

Answer:

C. 1 and 3

Step-by-step explanation:


What inequality is shown by the graph?

Answers

Step-by-step explanation:

2x - 10y > -20

=> x - 5y > -10

or x - 5y +10 > 0

PLEASE HELP ASAPPP!!!!!
Three coins are flipped. What is the probability that there will be two tails and one head?

Answers

3/8ths or 0.375 probability

Solve the system using substitution.
y = 4x – 8
y = 2x + 10

Answers

Answer:

9,28

Step-by-step explanation:

see image below:)

(y=4x-8)-(y=2x+10)
0=2x-18
By moving x to other side
2x=18
Dividing by 2
X= 9
Putting the value of x in any equation
y=4(9)-8 = 36-8 =28
Y=28

Examine the geometric relationship in the diagram below which option shows the correct value of x and y

Answers

Answer:

c

Step-by-step explanation:

Find the perimeter of the figure.

Answers

Answer:

45 inches (choice B)

Step-by-step explanation:

The perimeter is the sum of all of the sides of a shape. Since the sides are given this problem is fairly easier than other problems. You simply have to add the numbers together.

8 + 3 + 3 + 6 + 6 + 19 = 45 inches

Answer:

45 in.

Step-by-step explanation:

Perimeter = 8 + 3 + 6 + 19 + 6 + 3

= 45.

What inequality does the number line graph represent

Answers

Answer:

5x + 3 ≥ 18

Step-by-step explanation:

when solved, the inequality is x ≥ 3

x ≥ 3 indicates all values greater than 3, including 3, should be in the solution set

What is the value of x?

Answers

Answer:

value of x i think correct answer is 2

What is the median of 6, 7, 3, 15, 4, 4.

Answers

Answer:

5

Step-by-step explanation:

The median is the middle when the numbers are lined up from smallest to largest

3,4,4,6,7,15

There are 6 number so the middle is the  between the 3rd and 4th number

3,4,4,    6,7,15

Take the 3rd and 4th numbers and average

(4+6)/2 = 10/2 = 5

Answer:

median = 5

Step-by-step explanation:

Arrange the data in ascending order :

3 , 4 , 4 , 6 , 7 , 15

Choose the middle number.

Here there are even number of data. Take the average of the middle

numbers .

4 and 6 are the middle number. average of 4 and 6 = ( 4 + 6 ) /2 = 5

Therefore , median = 5

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