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3 years ago

What it 33/7 divided by 4/6

Mathematics

2 answers:

stepladder [879]3 years ago

7 0

The answer is 99 over 14

lakkis [162]3 years ago

4 0

Answer:99/14

Step-by-step explanation:

33/7÷4/6

33/7×6/4

(33×6)÷(7×4)

198/28

Reduce to lowest term

99/14

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If h(x)=(fog)(x) and h(x)=³√x+3, find g(x) if f(x) =³√x+2

ipn [44]

Answer:

$g(x)=x+1$

The problem:

Find $g(x)$ if $h(x)=(f \circ g)(x)$ ,

$h(x)=\sqrt[3]{x+3}$ , and

$f(x)=\sqrt[3]{x+2}$ .

Step-by-step explanation:

$h(x)=(f \circ g)(x)$

$h(x)=f(g(x))$

Replace $x$ in $f(x)=\sqrt[3]{x+2}$ with $g(x)$ since we are asked to find $f(g(x))$ :

$\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}$

$\sqrt[3]{x+1+2}=\sqrt[3]{g(x)+2}$

This implies that $x+1=g(x)$

Let's check:

$(f \circ g)(x)$

$f(g(x))$

$f(x+1)$

$\sqrt[3]{(x+1)+2}$

$\sqrt[3]{x+1+2}$

$\sqrt[3]{x+3}$ which is the required result for $h(x)$ .

6 0

3 years ago

There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow

Ivanshal [37]

If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

$\frac{8yellow}{20total} = \frac{Xyellow}{100total}$

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

$\frac{8yellow}{20total} = \frac{Xyellow}{100total} \\ 8yellow*100total=20total*Xyellow$

Finally, solve for x:

$8yellow*100total=20total*Xyellow \\ 8*100=20*x \\ 800=20x \\ 800/20=20x/20 \\ x=40yellow$

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!

6 0

3 years ago

What is the equation of the following line written in slope-intercept form?

nasty-shy [4]

SOLUTION:

To begin with, let's establish that the formula of this line is in slope-intercept form as follows:

y = mx

The formula for this line isn't:

y = mx + b

This is as this line doesn't have a y-intercept ( b ) as it passes through the origin instead. This means that ( b ) would be rendered useless in this formula as it would just bring us back to the y = mx formula as displayed below:

y = mx + b
y = mx + 0
y = mx

Moving on, for ( m ), we need to find the gradient of the line as displayed below:

m = gradient
m = rise / run
m = 10 / 2
m = 5

Now, we must simply substitue ( m ) into the formula in order to obtain the equation for this line as displayed below:

y = mx
y = 5x

Therefore, the answer is:

A. y = 5x

6 0

3 years ago

The graph is of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Reika [66]

The real solutions of f(x) = 0 is; x = -8, 0 and 4

<h3>How to find the roots of a polynomial graph?</h3>

When talking about real solutions of a polynomial, we are simply referring to the values of x that make the polynomial f(x) = 0.

Now, in a polynomial graph as attached, the real solutions are the roots and they are the values of x where the curve crosses the x-axis.

From the given graph, the real solutions are at x = -8, 0 and 4

Thus, we conclude that the real solutions of f(x) = 0 is; x = -8, 0 and 4

Read more about Polynomial roots graph at; brainly.com/question/14625910

#SPJ1

8 0

1 year ago

A baseball coach order hats for his team. Each hat cost $10. The shipping charger is $6. The total cost of the order must be les

NeTakaya

The answer should be:

10h + 6 < 125

3 0

3 years ago

Read 2 more answers