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Serjik [45]
3 years ago
5

Please solve these questions it's important please​

Mathematics
1 answer:
MissTica3 years ago
4 0

<h3>b)</h3>

\frac{3 {a}^{2}  - 9a}{ {a}^{2}  - 9}  =  \frac{3a(a - 3)}{(a + 3)(a - 3)}  =  \frac{3a}{a + 3}

<h3>c)</h3>

\frac{ {y}^{2} - 3yz -4  {z}^{2}  }{3 {y}^{2} - 12yz }  =  \frac{(y + z)(y - 4z)}{3y(y - 4z)}  =  \frac{y + z}{3y}

<h3>d)</h3>

\frac{ {d}^{2} + 4d  + 4}{ {d}^{2}  + 2d}  =  \frac{(d + 2)(d + 2)}{d(d + 2)}  =  \frac{d + 2}{d}

<h3>e)</h3>

\frac{5f - 15}{3 {f}^{2}  - 13f + 12}  =  \frac{5(f - 3)}{(3f - 4)(f - 3)}  =  \frac{5}{3f - 4}

I hope I helped you^_^

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48 is what percent of 60?
Mariulka [41]
48 is 80% of 60

Divide 48 over 60:
\frac{48}{60} = 0.8

Convert your decimal to a percentage:
0.8 \times 100 = 80
5 0
3 years ago
Find the remainder when f(x)=x3−4x2−6x−3 f ( x ) = x 3 − 4 x 2 − 6 x − 3 is divided by x+1
loris [4]

Answer:

The remainder is -2.

Step-by-step explanation:

According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (<em>x</em> - <em>a</em>), then the remainder of the operation will be given by P(a).

Our polynomial is:

P(x) = x^3-4x^2-6x-3

And we want to find the remainder when it's divided by the binomial:

x+1

We can rewrite our divisor as (<em>x</em> - (-1)). Hence, <em>a</em> = -1.

Then by the PRT, the remainder will be:

\displaystyle\begin{aligned}  R &= P(-1)\\ &=(-1)^3-4(-1)^2-6(-1)-3 \\ &= (-1)-4(1)+(6)-3 \\ &= -2 \end{aligned}

The remainder is -2.

5 0
3 years ago
Is 1.66666667 Rational or irrational
devlian [24]

Answer:

Rational.

Step-by-step explanation:

1.666... can be expressed as \frac{5}{3}.

Hence it is rational.

4 0
3 years ago
Read 2 more answers
"In quadrilateral QRST, m∠Q is 68°, m∠R is (3x + 40)°, and m∠T is (5x − 52)°. What are the measures of ∠R , ∠S , and ∠T ? Write
34kurt
TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:  
m∠R, m∠S, m∠T = 112°, 112°, 68°.
4 0
3 years ago
Read 2 more answers
How do you solve: secx=-5/2, tanx&lt;0<br><br> Find all six trig functions
Brut [27]

Answer:

sec theta = (sqrt24/5) cos theta = -2/5 tan theta = (-[sqrt 21]/2) sec theta = 5/2 csc theta = (5sqrt21)/21 cot theta = (-2sqrt21)/21

Step-by-step explanation:

During the problem, secx = -5/2, we can assume that as cos = -2/5. -2 = x. 5 = r. find for Y with: x^2+y^2=r^2. After that, plug in for the variables and you get all the answers. Rationalize the square roots, don't forget.

5 0
3 years ago
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