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Llana [10]
3 years ago
6

Write the expression 2a+b in the form of a fraction with the given denominator. Check if the domain of the expression changed. I

f yes, state the changes explicitely.
3a
Mathematics
1 answer:
Ymorist [56]3 years ago
6 0

Answer:

See below

Step-by-step explanation:

I will assume the given denominator is 3a as there is nothing attached to the statement.

Lets first look at the domain of 2a+b. As it is a polynomial with unknowns a and b, we know it has its domain in all real numbers for both  a and b as every polynomial does. For verifying it replace a and b by any real number you can think of.

Domain = a, b belonging to R

Now, if we divide 2a+b by 3a we will have:

(2a+b)/3a

As know we don not have a polynomial we cant state that the domain will still be all the real numbers for sure. We need to go further.

We have a fraction and as every fraction the denominator CAN'T be equal to 0, so 3a MUST be different to 0. This means that a MUST be different to 0. So, now our domain changes:

domain' = a, b belonging to R and a different to 0.

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1
horsena [70]

Answer:

t=5 dollars per t-shirt

Step-by-step explanation:

<em>Read the problem and write your equation while following along with it</em>

We have 8 t-shirts

Lets 8 t-shirts be represented by 8t

So for our equation we will place and 8

<h3>Our equation: 8t</h3><h3 />

Now it says we have a coupon that subtracts 4 dollars from our total

<h3>Our equation: 8t-4</h3><h3 />

The final part to add to our equation says that our total before tax was 36 dollars

<h3>So here is our equation: 8t-4=36</h3><h3 />

<em>add </em>$4<em> to both sides</em>

8t=40

<em>Divide both sides by</em> 8

t=5 dollars per t-shirt

-Side note, make sure to spell your question right. It was a tad bit confusing to read at the start.

-Brainliest please :)

4 0
2 years ago
2.Solve the following quadratic equations<br> i. 9x^2 - 1/16<br> ii. 2h^2 - 3h - 27
Juli2301 [7.4K]
i)~9x^2-\dfrac{1}{16}=0\iff9x^2=\dfrac{1}{16}\iff x^2=\dfrac{1}{9\cdot16}\iff \\\\x^2=\dfrac{1}{144}\iff x=\pm\sqrt{\dfrac{1}{144}}=\pm\dfrac{1}{12}\Longrightarrow\boxed{x=\pm\dfrac{1}{12}}


ii)~2h^2-3h-27=0\\\\\Delta=b^2-4ac\to \Delta=(-3)^2-4\cdot2\cdot(-27)\to\Delta=9+216=225\\\\&#10;\Longrightarrow h=\dfrac{-b\pm\sqrt{\Delta}}{2a}=\dfrac{-(-3)\pm\sqrt{225}}{2\cdot2}=\dfrac{3\pm15}{4}\\\\\begin{cases}h_1=\dfrac{3+15}{4}=\dfrac{18}{4}\iff \boxed{h_1=\dfrac{9}{2}}\\h_2=\dfrac{3-15}{4}=\dfrac{-12}{4}\iff\boxed{h_2=-3}\end{cases}

4 0
3 years ago
Which number line models the expression -3 + 5 ?
damaskus [11]
I think the answer would be B
3 0
3 years ago
The sum of 8 and y is 5. what is y​
marshall27 [118]

Answer:

y = -3

Step-by-step explanation:

As per the condition given

8 + y = 5

y = 5 - 8 = -3

7 0
2 years ago
Pleas help me solve #1 :( <br> Your answer helps so much!!
miskamm [114]

ANSWER

y = 7 \sqrt{2}

x = 7

EXPLANATION

The given triangle has a right angle.

The side opposite to the 45° angle is 7 units.

To find angle x, we use the tangent ratio.

Recall the mnemonics TOA, which means,

\tan(45 \degree)  =  \frac{opposite}{adjacent}

\tan(45 \degree)  =  \frac{7}{x}

1 =  \frac{7}{x}

x = 7

To find y, we use the sine ratio, which means

\sin(45 \degree)  =  \frac{opposite}{hypotenuse}

\sin(45 \degree)  =  \frac{7}{y}

y=  \frac{7}{\sin(45 \degree) }

y=  \frac{7}{ \frac{1}{ \sqrt{2} } }

y = 7 \times  \frac{ \sqrt{2} }{1}

y = 7 \sqrt{2}

3 0
3 years ago
Read 2 more answers
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