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3 years ago

2y-4x=-12 what is the slope intercept

Mathematics

2 answers:

cestrela7 [59]3 years ago

8 0

Solve for y basicaly
2y-4x=-12
divde both sides by 2
y-2x=-6
add 2x to both sides
y=2x-6

SpyIntel [72]3 years ago

3 0

So you have yo turn it into the correct form first so you add 4x to both sides and come out with 2y=4x-12 them you divide each side by 2 because you have to have to by itself and you come out with y=2x-6 so the slope is 2x and the y intercept is -6

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Determine whether f(x)=-4(x+3)^2-5 has a maximum or a minimum value, then find that value

Leto [7]

Answer:

Yes it has

Step-by-step explanation:

From my perspective.........

f(x) = -4(x + 3)² - 5

f(x) = -4(x + 3)(x + 3) - 5

f(x) = -4(x² + 6x + 9) - 5

f(x) = -4x² - 24x - 36 - 5

f(x) = -4x² - 24x - 41

Dy/dx = -8x - 24

At minimum Dy/dx = 0

-8x - 24 = 0

-8x = 24

x = 24/-8

x = -3

At minimum

y = -4x² - 24x - 41

y = -4(-3)² - 24(-3) - 41

y = -4(9) + 72 - 41

y = -36 + 72 - 41

y = 36 - 41

y = -5

5 0

3 years ago

Paulo wants to earn $2115by mowing lawns how will charge $70 for each law. He mows what is the minimum number of lawns that Paul

Ket [755]

Answer:

Paulo will need to mow at least 31 lawns to reach his goal of $2115.00.

Step-by-step explanation:

1. This is an inequality problem. The solution for this problem will involve creating in inequality to solve for the answer. To create an inequality, it is important to keep your information organized concisely.

Total = $2115.00

Lawn = $70.00

x = Amount of Lawns

2. From this information, the inequality can be formed.

70x $\geq$ 2115

3. Using the order of operations, solve the inequality.

x $\geq$ 2215/70

x $\geq$ 30.21

4. The minimum number of lawns Paulo needs to mow is 31 lawns to meet his goal of $2115.00.

3 0

4 years ago

3. Use distributive property to simplify

Snezhnost [94]

Answer:

<h2>see the answers</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

PEMDAS

<h3>tips and formulas:</h3>

orders of PEMDAS:

parentheses
exponent
multiplication or
division
addition or
substraction

left to right

<h3>let's solve:</h3>

remove first parentheses and add: -6×[-12+26] =-6×[14]
remove third parentheses and multiply:-6×14=-84

remove first parentheses and add:(6)×[-17+28]=6×[11]
remove third parentheses and multiply: 6×11=66

remove first parentheses and substract:7×[-12-(6)]=7×[-12+(-6)]=7×[-18]
multiply:7×[-18]=-126

6 0

3 years ago

If you vertically compress the square root parent function f(x) = ^x, by 1/2 of a unit what is the equation of the new function

Naddik [55]

Answer:

The equation of the new function is $g(x) = \frac{\sqrt{x}}{2}$

Step-by-step explanation:

Suppose we have a function f(x).

a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.

f(x - a) is shifting f(x) a units to the right.

f(x + a) is shifting f(x) a units to the left

In this question:

$f(x) = \sqrt{x}$

Vertically compressing by 1/2:

This is the same as multiplying the function by 1/2. So

$\frac{1}{2} \times \sqrt{x} = \frac{\sqrt{x}}{2}$

The equation of the new function is $g(x) = \frac{\sqrt{x}}{2}$

7 0

3 years ago

What is the simple interest earned when the principal is $3050, the rate is 6% and 3 years?

Yanka [14]

Answer:

$549

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 3050 × 0.06 × 3 = 549

I = $ 549.00

The simple interest accumulated

on a principal of $ 3,050.00

at a rate of 6% per year

for 3 years is $ 549.00.

7 0

3 years ago

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