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4 years ago

What is the vertex of g(x) = -3x2 + 18x + 2?

Mathematics

1 answer:

icang [17]4 years ago

8 0

Answer:

(3,29)

Step-by-step explanation:

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Why does b have to be positive in exponential functions and why can’t it be 1?

faust18 [17]

Answer:

Well, "b" is just a variable. It's not really the function. I'm not quite sure what your asking. It can't be 1 because it can't. Math was founded on these mathematical laws. Consider talking to your teacher about this for further explanation.

Step-by-step explanation:

3 0

3 years ago

Help me with my math quiz from friday 4/1 <br> SHOW STEPS

malfutka [58]

Hie!! I will be solving the questions in the sequence of the attachments.

_______________________________________

4. As line SU and TV are intersecting each other at O.

A.T.Q, ∠UOV = (7x - 4)°

∠SOT = 87°

Then, ∠UOV = ∠SOT {Vertically Opposite Angles}

$\rightarrow\sf{7x - 4=87}$

$\rightarrow\sf{7x =87+4}$

$\rightarrow\sf{7x =91}$

$\rightarrow\sf{x =\frac{91}{7}}$

$\rightarrow\boxed{\bf{x =13}}$

_______________________________________

5. radius = 17ft

circumference of circle = 2πr

$\rightarrow\sf{circumference=2\times\frac{22}{7}\times17}$

$\rightarrow\boxed{\bf{circumference=106.8ft}}$

_______________________________________

3. ∠1 and ∠2 - add to 180 (linear pair)

∠1 and ∠3 - equal (Vertically Opposite Angles)

∠3 and ∠4 - add to 180 (linear pair)

∠2 and ∠4 - equal (Vertically Opposite Angles)

_______________________________________

2. 160° + (6x - 16)° = 180° (linear pair)

$\rightarrow\sf{6x - 16 = 180-160}$

$\rightarrow\sf{6x - 16 = 20}$

$\rightarrow\sf{6x = 20+16}$

$\rightarrow\sf{6x =36}$

$\rightarrow\sf{x =\frac{36}{6}}$

$\rightarrow\boxed{\bf{x =6}}$

8 0

2 years ago

If 4 (log3 1/27)=X what is the value of X

givi [52]

$4(log _{3} 1/27) =x$
$log _{3} \frac{1}{27}^4 =x$

Now remember: $b^y=x \\ equals \\ log _{b}x=y$

$3^x = \frac{1}{27}^4$
$3^x = \frac{1}{531441}$
$log _{3} \frac{1}{531441} =x$
$\frac{ln\frac{1}{531441}}{ln3} = x$
$\frac{1}{531441} = 0.000002$
you can now enter this into your calculator...

Answer: x = -0.083

7 0

3 years ago

Read 2 more answers

ABC is a triangle. ACD is an isosceles triangle. Find ACB and ABC.

GREYUIT [131]

Answer:

∠ ACB = 128° and ∠ABC = 32°

Step-by-step explanation:

∠ ADC = ∠ CAD (base angles theorem)

∠ ACD = 82° (angles in a triangle add to 180°)

∠ ACB = 128° (angles around a point add to 360°)

∠ ABC = 32° (angles in a triangle add to 180°)

7 0

2 years ago

What is the ratio of x to y?<br> 5x = 6y

Anna71 [15]

Answer:

6:5

Step-by-step explanation:

Divide both sides by y . ⇒5xy=6y y. ⇒5xy=6. Divide both sides by 5 . ⇒5 x5 y=65. ⇒xy=65. ⇒x:y=6:5.

8 0

3 years ago

Read 2 more answers