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3 years ago

9

How do you solve the equation 4a+b=12

2 answers:

baherus [9]3 years ago

8 0

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*a+b-(12)=0

Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4a+b-12 = 0 and calculate its properties

Notice that when a = 0 the value of b is 12/1 so this line "cuts" the b axis at b=12.00000

b-intercept = 12/1 = 12.00000

When b = 0 the value of a is 3/1 Our line therefore "cuts" the a axis at a= 3.00000

a-intercept = 12/4 = 3

Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 12.000 and for a=2.000, the value of b is 4.000. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 4.000 - 12.000 = -8.000 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -8.000/2.000 = -4.000

Geometric figure: Straight Line

Slope = -8.000/2.000 = -4.000
a-intercept = 12/4 = 3
b-intercept = 12/1 = 12.00000

Jobisdone [24]3 years ago

7 0

Answer:

Step-by-step explanation:

Without having a numerical value for a (or b), you can't "solve this equation."

You can, however, solve it for either a or b, but not both.

For a: Subtract b from both sides. This results in 4a = 12 - b. Dividing both sides by 4 isolates a:

12 - b

a = --------------

4

For b: Subtract 4a from both sides. Then: b = 12 - 4a

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Find the surface area of the prism.

Nikitich [7]

Answer:

$A=202\ cm^2$

Step-by-step explanation:

Given that,

The dimensions of the prism are 4 cm, 9 cm and 5 cm respectively.

The formula for the surface area of the prism is given by :

$A=2(lb+bh+hl)$

Put all the values,

$A=2(4(9)+9(5)+5(4))\\\\A=2(36+45+20)\\\\A=202\ cm^2$

So, the required surface area of the prism is equal to $202\ cm^2$ .

3 0

3 years ago

A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population

Verizon [17]

Answer:

The probability that the average weight of the boxes will exceed 94 lbs is 0.1587.

Step-by-step explanation:

Let <em>X</em> = weight of the boxes shipped.

The mean weight is, <em>μ</em> = 90 lbs and the standard deviation, <em>σ</em> = 24 lbs.

A sample of <em>n</em> = 36 boxes is selected.

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and an appropriately huge random samples (<em>n ≥ 30</em>) is selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the sample means is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the sample means (also known as the standard error) is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

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Compute the probability that the average weight of the boxes will exceed 94 lbs as follows:

$P(\bar X>94)=P(\frac{\bar X-\mu_{\bar x}}{\sigma/\sqrt{n}}>\frac{94-90}{24/\sqrt{36}})\\=P(Z>1)\\=1-P(Z$

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3 0

3 years ago

Given the parent function f(x) = 2^x, which graph shows f(x) + 1?

mixer [17]

Answer: First Option

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Look at the attached image, the red line represents a function of the form:

$f(x) = 2^x$

Note that this function cuts to the axis and at the point (0, 1)

Also when x tends to ∞ f(x) tends to ∞ and when f(x) tends to -∞ then f(x) tends to zero.

If we perform the transformation $y = f(x) +1$ then the graph of y is equal to the graph of f(x) displaced 1 unit up. Then the new cutting point with the axis y will be: (0, 2) as shown in the attached image (blue line)

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Finally the answer is the first option

4 0

3 years ago

Plsss anyone help mee

attashe74 [19]

I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.I think ur question is.. If you are making a certain amount u need 2 1/4 flour.. and u need to make half more than that isn't it?

2 1/4= 2.25

Take half of 2. 25= 1.115

Now add 2.25+1.115=3.365

That means you should take 3 cup and a little more than 1/4 cup of flour.

3 0

2 years ago

The product of negative six and the sum of q plus two is twenty.

Verdich [7]

Answer:

q=24

Step-by-step explanation:

The 20 plus the 4 to make it 24 is the entire problem.

4 0

3 years ago