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3 years ago

Y = -5x + 1 graph the equation by making a table of values. Use 3 values of x.

Mathematics

1 answer:

Naily [24]3 years ago

3 0

Answer:

Table -

x=-1 y= 6

x=0 y= 1

x=1 y= -4

Step-by-step explanation:

Answers are found by plugging in any 3 values of x

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Use the table below to answer this question:

ch4aika [34]

Answer:

Step-by-step explanation:

Th average rate of change is the slope of the secant line that goes through those 2 values of x. Of course, each value of x also has a value of y. The coordinates for these combinations of x's and y's are:

(-1, 5) and (4, 0). We can use the slope formula to find the average rate of change of this function without having to know what the function's equation is:

$m=\frac{0-5}{4-(-1)}=\frac{-5}{5}=-1$

So the average rate of change, aka slope, between those 2 points is -1

7 0

2 years ago

Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

5 0

2 years ago

Find the volume of the cylinder.<br> Either enter an exact answer in terms of or use 3.14

kow [346]

Answer: 400

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

The function f(x) = (10)–x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)? (–2, 75) (

IRINA_888 [86]

Neither point is on either function.
f(x) reflected over the x-axis is
y=-10 + x

7 0

2 years ago

Family has an annual income of $23 comma 400. Of this, one fourth

denis23 [38]

Amount spent for food = $5850, housing = $4680, clothing = $2340, savings = $2600, taxes = $5850, expenses = $2080.

<u>Step-by-step explanation:</u>

Step 1:

Given details are Total Income = $23,400

Step 2:

Amount spent for food, F= 1/4th of 23,400 = $1/4 \times 23400$

= $5850

Step 3:

Amount spent for housing, H = 1/5th of 23,400 = $1/5 \times23400$

= $4680

Step 4:

Amount spent for clothing, C = 1/10th of 23,400 = $1/10 \times 23400$ = $2340

Step 5:

Amount spent for savings, S = 1/9th of 13,400 = $1/9\times 23400$ = $2600

Step 6:

Amount spent for taxes, T = 1/4th of 23,400 = $1/4 \times 23400$ =$5850

Step 7:

Find amount spent on other expenses by totaling all expenditures and subtracting from the annual income.

Annual Income = F + H + C + S + T + E

Amount spent on other expenses, E = 23400 - (5850 + 4680 + 2340 + 2600 + 5850)

E = 23400 - 21320

E = $2080

5 0

2 years ago