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4 years ago

Write an equation in slope intercept form for the line with slope -4 and y-intercept -1

Mathematics

1 answer:

Jet001 [13]4 years ago

8 0

The general form is y = mx + c

where m = slope and c is the y intercept

Here it is y = -4x - 1 (answer)

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Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?

asambeis [7]

Answer:

4, 2.75, 1.5, 0.25, - 1, - 2.25, ...............

Step-by-step explanation:

Using the recursive formula with f(1) = 4, then

f(2) = f(1) - 1.25 = 4 - 1.25 = 2.75

f(3) = f(2) - 1.25 = 2.75 - 1.25 = 1.5

f(4) = f(3) - 1.25 = 1.5 - 1.25 = 0.25

f(5) = f(4) - 1.25 = 0.25 - 1.25 = - 1

f(6) = f(5) - 1.25 = - 1 - 1.25 = - 2.25

Sequence is 4, 2.75, 1.5, 0.25, - 1, - 2.25, .......

8 0

4 years ago

After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 1982, the hay in that

galina1969 [7]

Answer:

25.48 days

Step-by-step explanation:

For a radioactive substance, the Amount of the substance remaining A(t) is modeled by the equation

$A(t)=A_0(\dfrac{1}{2})^{\dfrac{t}{t_{1/2}} }$

where

$A_0 =$Initial Amount$\\t_{1/2}=$Half-Life of the Substance$\\t=$Time elapsed$$

In the given problem:

Half Life of the Radioactive Isotope = 8

Initial Amount, $A_0$ =100%=1

A(t)=11% =0.11

Therefore substituting in the model above:

$0.11=1(\dfrac{1}{2})^{\dfrac{t}{8} }\\0.11=0.5^{t/8}\\$Change to Logarithm form$\\Log_{0.5}0.11=\frac{t}{8}\\\frac{Log 0.11}{Log 0.5} =\frac{t}{8}\\3.1844=\frac{t}{8}\\t=8X3.1844=25.4752$

The farmer need to wait for 25.48 days

4 0

3 years ago

1. Knowing that the area of a rectangle and a parallelogram is (base * height), use the given side length and

astraxan [27]

Answer:

51.84sq

Step-by-step explanation:

4 0

4 years ago

Yall please help meee

madam [21]

Answer-

x=0;y=3

x=1;y=-1

x=2;y=-5

x=3;y=-9

7 0

3 years ago

Solve for g: 9g = W

Varvara68 [4.7K]

Since there are 2 variables, there won’t be a numerical answer, and since we are solving for g, we have to isolate g.

9g=W
divide 9 from both sides
g=W/9

Your answer is W/9

5 0

4 years ago