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3 years ago

13

which second degree polynomial function has a leading coefficient of -1 an root 4 with multiplicity 2?

2 answers:

DanielleElmas [232]3 years ago

4 0

A root of 4 means the factor is (x - 4)
Multiplicity 2 means it has a power of 2 => => (x - 4)^2
Leading Coefficient -1 means it will be reflected opening downward
- (x - 4)^2
-(x^2 - 8x + 16)
-x^2 + 8x - 16

guapka [62]3 years ago

3 0

Answer:

The answer is..

Step-by-step explanation:

D. –x^2 + 8x + 16

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Which statements can be used to prove that ABC and A’B’C are congruent?

Nadusha1986 [10]

Answer:

O A.

Step-by-step explanation:

<u>Option A</u> identifies two angles (sufficient for similarity) and one side, sufficient (with similarity) for congruence. The applicable congruence theorem is AAS.

<u>Option B</u> identifies two sides and the angle not between them. The two triangles will be congruent in that case only if the angle is opposite the longest side, which is <u>not true</u> in general.

<u>Option C</u> same deal as Option A.

<u>Option D</u> identifies three congruent angles, which will prove the triangles similar, but not necessarily congruent.

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2 years ago

Rotate angle ABC 90 degrees clockwise about the origin and then reflect over the x-axis

Lady_Fox [76]

Rotation and reflection are instances of transformation

See attachment for the new position of $\triangle ABC$

From the question, we have:

$A = (-1,1)$

$C = (-2,4)$

The rule of 90 degrees clockwise rotation is:

$(x,y) \to (y,-x)$

Using the above transformation, the new points would be

$A' = (1,1)$

$B' =(3,3)$

$C' = (4,2)$

The next transformation is reflection over the x-axis

The rule of this transformation is:

$(x,y) \to (x,-y)$

So, the new points would be:

$A" = (1,-1)$

$B" = (3,-3)$

$C" = (4,-2)$

See attachment for the new points

Read more about transformation at:

brainly.com/question/11709244

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2 years ago

How many days will it take for a sum of $4,000 to earn $80 interest if it is deposited in a bank paying ordinary simple interest

Maksim231197 [3]

Answer:

It will take 146 days to earn an interest of $80.

Step-by-step explanation:

The simple interest formula is:

$I=\frac{P\times r\times t}{100}$

It is provided that:

I = $80

P = $4,000

r = 5% p.a.

Compute the time required as follows:

$I=\frac{P\times r\times t}{100}$

$t=\frac{I\times 100}{P\times r}$

$=\frac{80\times 100}{4000\times 5}\\\\=0.4\ \years\\\\=0.4\times 365\ days\\\\=146\ days$

Thus, it will take 146 days to earn an interest of $80.

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2 years ago

It would take 5 taps 150 mins to fill a pool.

Maksim231197 [3]

Answer:

250 mins

Step-by-step explanation:

since number of taps times time is constant

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3 years ago

Read 2 more answers

If 1,080 students attend sunshine middle school how many teachers can teach at the school? side note 1 teacher can teach 27 stud

sergij07 [2.7K]

Answer: 40

Step-by-step explanation: I’m not too sure but 1,080 divided by 27 equals 40

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1 year ago