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2 years ago

Write an equation for when slope =-3 and y-intercept = 36

Mathematics

2 answers:

neonofarm [45]2 years ago

7 0

y=mx+b

m= slope

b=y-intercept

Therefore Y=-3x+36

Elenna [48]2 years ago

6 0

Answer:

-3x+36

Step-by-step explanation:

the slope is -3, so just add an x.

the y intercept is 36

put them a together and you get -3x+36

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Please help! Which of the following is a polynomial?

Marat540 [252]

Simplistic answer is D

7 0

3 years ago

(2r - 6)(-5r+4) what is the product

Akimi4 [234]

Answer:

$-10r^{2} +38r-24$

Step-by-step explanation:

Apply FOIL method: $(a+b)(c+d)=ac+ad+bc+bd$

$a=2r,b=-6,c=-5r,d=4$

$=2r(5-r)+2r*4+(-6)(-5r)+(-6)*4$

Apply minus - plus rules

$+(-a)=-a,(-a)(-b)=ab$

$=-2*5rr+2*4r+6*5r-6*4$

Simplify

Multiply $-2*5rr=-10r^{2}$

$=-10r^{2} +2*4r+6*5r-6*4$

Multiply $2*4r=8r$

$=-10r^{2} +8r+6*5r-6*4$

Multiply $6*5r=30r$

$=-10r^{2} +8r+30r-6*4$

Combine like terms

$=-10r^{2} +38r-6*4$

Multiply $-6*4=-24$

$=-10r^{2} +38r-24$

$-10r^{2} +38r-24$

6 0

2 years ago

Use the graph to find the following.

Levart [38]

a) Local maximum values of g are: 0 and 3

b) The values at which g has local maximum are : -2 and 2

<h3>What is a maximum point?</h3>

A maximum point is the point at which the gradient of the curve changes from positive to negative.

Analysis:

The inverted v-curves all have maximum values and they are two.

The one at x = -2 and the one at x = 2 for in both cases their maximum values are y = 0 and y = 3 respectively.

Learn more about minimum and maximum points: brainly.com/question/14993153

#SPJ1

5 0

2 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :)

GrogVix [38]

Answer:

1. Type of function: absolute value function

2. The three transformations from the parent function f(x) = |x| are:

Translation 3 units to the left
Vertical stretch with a scale factor of 2
Translation 5 units downward

Explanation:

1. Type of function

The parent function |x| is the absolute value function. It returns the positive value of the argument (x).

Thus the function f(x) = 2|x + 3| - 5 is also an absolute value function.

It returns the positive value of x + 3, then multiplyes it by 2, and finally subtract 5.

This is a piecewise function.

For the values of x ≥ - 3, the output is 2(x +3) - 5 = 2x + 6 - 5 = 2x + 1.

For the values of x < - 3, the output is 2 (-x - 3) - 5 = -2x - 6 - 5 = -2x - 11.

The vertex of this function is at x = - 3: 2 (- 3 + 3) - 5 = 2(0) - 5 = 0 - 5 = 5.

Thus the vertex is (-3, 5).

2. Transformations from the parent function f(x) = |x|.

When you know the parent function and the daughter function you can know the transformations done of the former to get the later by some simple rules.

a) Translation in the horizontal direction.

When you add a positive value to the argument the function is translated to the left.

Thus, when you add 3 to x, |x| becomes |x + 3| and it is a translation 3 units to the left.

b) Vertical stretch

When you multiply the argument by a constant, the function stretches vertically.

Thus, when you multiply |x + 3| by 2, to get 2|x + 3|, the function is vertically stretched by a scale factor of 2.

c) Vertical translation

When you subtract a constant value from the function, you translate it downward.

Thus, when you subtract 5 from 2|x + 3| - 5, you translate the function 5 units downward.

6 0

3 years ago

The formula used to calculate the value of a savings accounty =(1+)120What does theafter t years is A(t)=0.04= 1500 1+120.04frac

yulyashka [42]

We have here the formula for Compound Interest:

$A=P(1+\frac{r}{n})^{nt}$

Where:

• A is the accrued amount.

• P is the Principal (the original amount of money, the starting amount of money).

• r is the interest rate.

• n is the number of times per year compounded.

• t is the time in years.

When we have that n is equal to 12, we are talking here about that the amount of money is being compounded monthly (we have 12 months in a year, 12 periods, n = 12). Therefore, we are dividing the rate, r, by the number of compoundings per year, n, and this is the rate per each new compounding period of time, r/n, and, in this case, n = 12 (monthly interest rate).

Therefore, in few words, the fraction (0.04/12) is the monthly interest rate (option C).

[If we see the other options, we have:

• The daily interest rate would be given by 0.04/365.

• How long the money has been in the account is time, t.

• The starting balance in the account is the Principal, P. ]

7 0

1 year ago