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Alborosie
3 years ago
7

Can you guys help me plz

Mathematics
1 answer:
Grace [21]3 years ago
8 0
1st one: Decimal Form: 16.75

2nd one: Decimal Form: 33.55


-don’t forget to heart or mark as brainliest! thanks!
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What are the coordinates of the vertex for f(x) = 3x2 + 6x + 3? (−1, 0) (3, 6) (0, −1) (6, 3)
larisa [96]

Answer:

The vertex is the point (-1,0)

Step-by-step explanation:

we have

f(x)=3x^{2} +6x+3

we know ow that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

Convert the equation into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-3=3x^{2} +6x

Factor the leading coefficient

f(x)-3=3(x^{2} +2x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-3+3=3(x^{2} +2x+1)

f(x)=3(x^{2} +2x+1)

Rewrite as perfect squares

f(x)=3(x+1)^{2}

therefore

the vertex is the point (-1,0)

6 0
3 years ago
Read 2 more answers
Convert 6.32, 6, 6.215 into like decimals
lana66690 [7]

Answer:

6.320, 6.000, 6.215

Step-by-step explanation:

Three decimal points is the max number of decimal places between the three numbers (6.215). So, we need to convert the other numbers to have three decimal points as well.

4 0
3 years ago
Isosceles triangle has an angle that measures 80°. which other angles could be in that isosceles triangle?-
alisha [4.7K]
There are two probabilities of the solution. First if 80° acts as one of the leg angles, second if 80° acts as the vertex angle.

FIRST PROBABILITY
If 80° is one of the leg angles, then the other angle would be 80° too, because iscosceles has two congruent angles on the leg.

Find the vertex angle
the sum of interior angles in a triangle is 180°
vertex angle + angle on the leg + angle on the leg = 180°
vertex angle + 80° + 80° = 180°
vertex angle + 160° = 180°
vertex angle = 180° - 160°
vertex angle = 20°
The interior angles are 80°,80°,20°


SECOND PROBABILITY
If 80° is the vertex angle, we should find the value of the two leg angles. The two legs has congruent angles.

Find the leg angles
the sum of interior angles in a triangle is 180°
leg angle + leg angle + vertex angle = 180°
2 × leg angle + vertex angle = 180°
2 × leg angle + 80° = 180°
2 × leg angle = 180° - 80°
2 × leg angle = 100°
leg angle = 50°
The interior angles are 80°, 50°, 50°
5 0
3 years ago
Harvard University accepts 6 students for every 100 applicants. How many students will be accepted in 850 applicants apply for a
LenKa [72]

Answer:

51 students.

Step-by-step explanation:

First you need to establish a rate 6/100+3/50

8*100=800   6*8=48

3/50

850-800=50   3/50

48+3=51



5 0
3 years ago
Read 2 more answers
(a) Complete the table of values for y- 2x + 5<br> -<br> 0<br> 1<br> 2<br> 1<br> 5<br> Y
maxonik [38]

Answer:

Step-by-step explanation:

I think you meant y = -2x + 5.

x    y = -2x + 5

0                       5

1      -2(1) + 5 =   3

2     -2(2) + 5 =   1

Note that every time you increase x by 1, y decreases by 2.

5 0
2 years ago
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