Fill in the blank with a number to make the expression a perfect square.

y^2 + 6y + ?

Answer:

(y+3)^2 - 9

Step-by-step explanation:

SUBIECTUL I

1. 1p Să se determine primul termen al unei progresii aritmetice (an

)n≥1 știind că rația este

egală cu 5 și suma primilor zece termeni ai progresiei este egală cu 245.
2. 1p Să se determine punctele de intersecție ale graficului funcției
f: R → R, f (x) = x

2 − 7x + 12, cu axele de coordonate.
3. 1p Să se determine numărul real a pentru care vectorii
u⃗ = (a − 2)i + (3a − 1)j și v = 2i +4j sunt coliniari.
4. 1p Să se calculeze ctg x, știind că sin x =
√3
2
, x ∈ (0, 90°
).
5. 1p Să se determine soluțiile reale ale ecuației 49x+2 = 7
x
2+5
.

6. 1p Să se rezolve ecuația : Ax
2+Cx
2 = 0, x∈ N , x≥ 2.

SUBIECTUL II
1 Se consideră matricea A(a) = (

1 0 √a
1 0 1
a 1 1

), unde a ∈ (0, ∞).

a) 0.5p Arătați că det(A(4)) = 1.
b) 0.5p Demonstrați că det(A(a) ∙ A(1) − A(a + 1)) > 0, pentru orice a ∈ (0, ∞).

2. Pe mulțimea de numere reale se definește legea de compoziție asociativă
x ∘ y = √3(xy + 4) − 3(x + y).
a) 0.5p Arătați că √3 ∘ 2 = √3.
b) 0.5pDemonstrați că x ∘ y = √3(x − √3)(y − √3) + √3, pentru orice numere reale x și y.
SUBIECTUL III

1 0.5p Se consideră funcția f: R → R, f(x) = e
2x
(x − 5).

Arătați că f
′
(x) = e
2x
(2x − 9), x ∈ R .
2. 0.5p Se consideră funcția f: R → R, f(x) =
x
√x
2+1
.

Arătați că ∫ f(x)√x
2 + 1
2
0

dx = 2.

Kendrick had 2 / 3 of an ice cream cake left. Each piece on the ice cream cake is 1 / 12 of the entire cake. How many pieces are left?

A 95% confidence interval for the true proportion of teenagers who have been to a professional sporting event is
(0.289, 0.416). Is it reasonable to believe that more than 25% of teenagers have been to a professional sporting
event?
O Yes, because 0.3525 is in the interval.
O Yes, because the entire interval is greater than 0.25.
O No, because there are values in the interval greater than 0.3525.
O No, because the center of the interval is 0.3525, which is not statistically greater than 0.25.

The area between z = -1.25
And z = 0.32

Happy Thanksgiving!!!!

Have a wonderful day​

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Triangle XYZ is similar to ABC.

Enter the missing side length.

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give me to point for example (4.6) and (5,7 ) my graph is y-axis is 200 and x-axis is 100
Company A is cheaper than Company B when x < or> ______
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dollars
dollars per mile
mile per dollar

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A) AB, CD

B) CD, EF

C) AB, EF

D) AB, FE

There are 18x10/1 players in league

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part B: how much would it cost to order sweatpants for each player? write and solve an equation with a variable to show your work.


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Estimate the total cost for his order. Show your work


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15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
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BETWEEN WHAT TWO INTEGERS IS THE FIRST ZERO?

Quadrilateral ABCD has the following angle measures. Find the Measure of angle A.
B: 59°
C: 103°
D: 100°

the probability that a tin of paint is dented is 0.07 out of 3000 tins of paint,how many would you expect to be dented?

Equations
So I’m having trouble with this pls explain step by step
Here’s the question

W+2=12

Pls explain

how many prime numbers are multiples of 8​

1. What is the slope of this graph?
2. What is the y-intercept for the graph?

White 3 6 9 12 15
Yellow 5 10 15 20 25

Which equation relates the number of yellow flowers, y, to the number of white flowers, w.

y=w+2
y= w-2
y = 2w
y= w/2

) Which value is equivalent
[tex] {7}^{3} [/tex]
​

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Measure E is equal to?

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Estimate the quotient for 608 divided by 23

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PlEase help you can edit the photo