The zeros of the function f(x)=3x^2-3x-6 are

Answers

Answer 1

Answer: $3x^2-3x-6=0\n 3(x^2-x-2)=0\n x^2-x-2=0 x^2+x-2x-2=0\n x(x+1)-2(x+1)=0\n (x-2)(x+1)=0\n x=2 \vee x=-1$

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Selena can make 5 pancakes in 12 minutes. which equation can be used to find m the number of minutes needed to make 20 pancakes

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I hope this helps you

jenna''s sixth-grade class is taking a bus to the zoo. the zoo is 156 miles from the school. if the bus travels an average of 55 mi/h, how many seconds will it take to get to the zoo?

Answers

$V=(s)/(t),\ \ \ \ \ \ \ V-speed,\ s-distance,\ t-time\nt=(s)/(V)\n\nt=(156)/(55)=2,84h=170,4s$

it will take Jenna's class about 3 hours to arrive to the zoo

The deposits Ginny makes at her bank each month form an arithmetic sequence. The deposit for month 3 is $150, and the deposit for month 5 is $180. Answer the questions below and show all work.

Answers

Answer:

d=$15,

Explicit formula: $a_n=120+(n-1)15$

$a_(12)=285$

At 27 month Ginni make a deposit at least $500.

Step-by-step explanation:

Given that the deposits Ginny makes at her bank each month form an arithmetic sequence. The deposit for month 3 is $150, and the deposit for month 5 is $180.

we have to find the common difference i.e d

-- , -- , $150, x, $180 , -------

Let $x be the 4th deposit.

∴ x-150=180-x ⇒ 2x=330 ⇒ x=165

Common difference,d=165-150=$15

Let us find the first tem i.e the value of a

$a_3=a+(3-1)15$

⇒ $150=a+30\thinspace gives\thinspace a=120$

Explicit formula for arithmetic sequence is

$a_n=a+(n-1)d$

⇒ $a_n=120+(n-1)15$

Now, we have to find the amount of Ginni in 12th deposit i.e n=12

$a_(12)=120+(12-1)15$

⇒ $a_(12)=120+165=285$

Now, we have to find at what month Ginni make a deposit at least $500.

$a_n=120+(n-1)15$

⇒ $500=120+(n-1)15$

⇒ $n-1=(380)/(15)$

⇒ $n=26.33\sim27$

hence, at 27 month Ginni make a deposit at least $500.

1. 15 dollars
2. Deposit=15*month+105
3. Deposit=15*12+105=$285
4.
500=15*month+105
395=15*month
26.33=month
Round up to 27 for the nearest whole month, so month 27.

Hope this helps!

What number is added to 0.035 to obtain 4.036?

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0.035 + x = 4.036
get x on its own
x = 4.036 - 0.035 = 4.001
so 4.001 is added

P= a+b+2c solve for c

Answers

      P = a + b + 2c
      P - a - b = a - a + b - b + 2c
      P - a - b = 2c
   2    2
¹/₂P - ¹/₂a - ¹/₂b = c

I need some major help with this proof.

Answers

The first one is always what is given.

Then work through the rest.

See the attached picture:

Answer:

This one is actually in order already.

First box to A.

Second box to B

Third box to C.

Fourth box to D.

Fifth box to E.

Step-by-step explanation:

You always start with the given. So the first box goes to A.

The second box goes with B. When angle is bisected it is cut into two congruent halves. That means that left part of the angle of A has an equal measurement to that of the right part of the angle of A. So Angle BAD is congruent to Angle CAD.

Those base angles are B and C even though it isn't written there.

x (related) x is the reflexive property. This is what you have here where the related part is the congruence and the element being talking about is AD on both sides. So The third box goes with the reflexive option. The third box goes with C.

So you have by the given that AB and AC are congruent; those are the left and right leg of the big triangle.

You also have that Angle's BAD and CAD are congruent (those are the angles at the top in the two different triangles. You also have that they share the side right after.

So you are given 2 corresponding sides are congruent and the angle right between them in each is congruent.

We have enough information to prove the triangles are congruent by SAS. This fourth box should be matched with D.

Lastly, since the triangles are already congruent by SAS, then the other remaining corresponding sides are congruent and the other remaining corresponding angles are congruent. So Angle B and Angle C are congruent due to corresponding parts of congruent triangles are congruent. Last box is to be matched with E.

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