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Phoenix [80]
4 years ago
7

PLEASE HELP!!!

Mathematics
2 answers:
Svetllana [295]4 years ago
7 0
Vertex form is
y = a {(x - h)}^{2}  + k
where (h,k) is the vertex.
We can see that the vertex of the graph is at (2,0), and that the graph opens downwards, but does not look stretched at all.
Therefore,
a = -1
h = 2
k = 0
and our vertex form equation is
y =  -  {(x - 2)}^{2}  + 0
which is answer A
sladkih [1.3K]4 years ago
4 0
<span>A. y= -(x-2)^2 its this one

</span>
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Multiply and simplify. 2x2y3z2 · 4xy4x2 how to do?
Darya [45]

Answer:

\huge\boxed{8x^5y^7z^2}

Step-by-step explanation:

\text{Use}\ a^n\cdot a^m=a^{n+m}\\\\2x^2y^3z^2\cdot4xy^4x^2=(2\cdot4)(x^2xx^2)(y^3y^4)z^2=8x^{2+1+2}y^{3+4}z^2\\\\=8x^5y^7z^2

6 0
4 years ago
MODELING REAL LIFE Forty-five basketball players participate in a three-on-three tournament. Write and solve an equation to find
lilavasa [31]

Answer:

3x = 45

they can form <u>15</u> three-person teams

Step-by-step explanation:

45 / 3 = 15

7 0
3 years ago
Suppose Sally has 9.94 kilograms of seed. If it takes 7.1 kilograms of seed to plant one hectare of land, how many hectares of l
Andrew [12]

Answer:

9.94 kg seed need 1.4 hectare of land

Step-by-step explanation:

Sally has=9.94kg

1 hectar need=7.1 kg

Now,

9.94kg=(9.94/7.1) hectare

=1.4 hectare

so,9.94 kg =1.4 hectare

6 0
3 years ago
The linear density of a rod of length 4 m is given by rho(x) = 6 + 5 x measured in kilograms per meter, where x is measured in m
Afina-wow [57]

Answer:

M(t) = 64 Kgs

Step-by-step explanation:

To find the total mass of the rod, we have to integrate the expression

M(x) = ∫₀⁴ rho(x)*dx

Where rho (x)  =  6  + 5*x   in Kgs /m

M(x) = ∫₀⁴ ( 6  +  5*x ) dx   ⇒ M(x) = ∫₀⁴  6 dx   +  ∫₀⁴ 5*x dx

M(x) = 6x |₀⁴    +  5* x²/2  |₀⁴  

M(x) = 6( 4 - 0 )  + 5/2  ( 16 - 0 )

M(x) = 24 + 40  Kgs

M(t) = 64 Kgs

8 0
4 years ago
A local school board member randomly sampled private and public high school teachers in his district to compare the proportions
levacccp [35]

Answer:

0.025 ;

(-0.7198 ; 0.7698)

Step-by-step explanation:

From the table :

_____________ private schls ___ public schls

Sample size, n _____ 80 __________ 520

P, NBC teachers ___ 0.175 ________ 0.150

P1 = P of  private school teachers

P2 = P of public school teachers

Difference in proportion :

P1 - P12 = 0.175 - 0.150.= 0.025

The 90% confidence interval for 2 - sample proportion :

C.I = (p1-p2) ± [Zcritical * √(p1(1-p1)/n1 + (p2(1-p2)/n2)]

Zcritical at 90% = 1.645

C.I = 0.025 ± [1.645 * √((0.175*0.825)/80 + (0.150*0.850)/520)]

C.I = 0.025 ± [1.645 * √(0.0018046875 + 0.0002451)]

C.I = 0.025 ± 1.645 * 0.0452755

C.I = 0.025 ± 0.07448

C.I = (-0.7198 ; 0.7698)

3 0
3 years ago
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