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2 years ago

Rewrite the following equation in slope intercept form 4x-5y=-20

1 answer:

4 0

Slope intercept form is y = mx + b.

Basically we need to get y by itself with no numbers attached.

4x - 5y = -20 subtract 4x from both sides
-5y = -4x - 20 divide each term on both sides by -5
y = (4/5)x + 4

hope this helps C:

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PLEASE HELP ME!!! The formula F =95C + 32 expresses Fahrenheit temperature in terms of Celsius temperature. Find the Celsius tem

Jet001 [13]

Answer:

Step-by-step explanation:

41= x+32

x= 41-32

x = 4C

6 0

2 years ago

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p=−0.

n200080 [17]

By solving a quadratic equation, it can be verified that

The owl population will disappear after 329.12 years

What is a quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as quadratic equation.

Here, a quadratic equation needs to be solved

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p= $-0. 4t^2+128t+1,200$

For population to disappear, p =0

$-0. 4t^2+128t+1,200 = 0\\0.4t^2 -128t - 1200 = 0\\4t^2 - 1280t - 12000 = 0\\4(t^2 - 320 t - 3000) = 0\\t^2 - 320t -3000 = 0\\t = \frac{-(-320)\pm \sqrt{(-320)^2 - 4 \times 1 \times (-3000)}}{2 \times 1}\\t = \frac{320 \pm 338.23}{2}\\t = \frac{320 + 338.23}{2} \ or \ t = \frac{320 - 338.23}{2}\\t = 329.115 \ or \ t = -9.115$

But t = -9.115 is not possible as time cannot be negative

So, the owl population will disappear after 329.12 years

To learn more about quadratic equation, refer to the link-

brainly.com/question/1214333

#SPJ4

7 0

9 months ago

Which expression shows the result of applying the distributive property to 9(2+5m) ?

vovikov84 [41]

Answer:

Step-by-step explanation:

The distributive property: a(b + c) = ab + ac

9(2 + 5m) = (9)(2) + (9)(5m) = 18 + 45m

3 0

2 years ago

What is the domain of g

irakobra [83]

Answer:

We conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

Step-by-step explanation:

We know that the domain of a function is the set of inputs or argument values for which the function is defined.

From the given graph, it is cleared that the function g starts from the x-value x = -7 and ends at x = 4.

It means the function is defined for the set of input values from x = -7 to x = 5 for which the function is defined.

Therefore, we conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

4 0

3 years ago

ALGEBRA 1 HELP!! Andrea buys 4 bags of granola and 3 bags of dried fruit. She spends $51.50. Carter buys 2 bags of granola and 4

timurjin [86]

Answer:

Granola is $6.95/bag and Dried Fruit is $7.90/bag.

Step-by-step explanation:

Let G and F stand for the cost of 1 bag Granola and 1 bag dried Fruit.

We learn that Andrea's total was $51.50. Her purchase can be written as the sum of the cost of 4 bags granola (4G) and 3 bags fruit (3F):

4G + 3F = $51.50

We can do the same for Carter:

2G + 4F = $45.50

We have two equations and two unknowns, so we should be able to solve for both unknowns. To do this, we need to find a way to eliminate one of the unknows in a single equation. Let's rearrange Carter's equation to isolate G on one side:

2G + 4F = $45.50

2G = $45.50 - 4F

G = ($45.50 - 4F)/2

Now use this expression for G in Andrea's equation:

4G + 3F = $51.50

4(($45.50 - 4F)/2) + 3F = $51.50

2($45.50 - 4F) + 3F = $51.50

($91.00 - 8F) + 3F = $51.50

-5F = - $39.5

F = $7.90 One bag of dried fruit is $7.90.

Now use this value for F in either equation for find G:

2G = $45.50 - 4F

2G = $45.50 - 4($7.90)

2G = $13.90

G = $6.95 One bag of granola is $6.95

---------------

Check to see if these values work:

Andrea:

4G + 3F = $51.50 :

4($6.95) + 3($7.90) = $51.50 ?

$51.50 = $51.50 YES

Carter:

2G + 4F = $45.50

2($6.95) + 4($7.90) = $45.50 ?

$45.50 = $45.50 YES

4 0

2 years ago