Answer:
1.32
Step-by-step explanation:
1.32
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.
Answer:
there was a tipikal answers of this question
Use your work from above to find the sum of 501+502+503+…+800
Answer:
Step-by-step explanation:
Gauss n(n+1)/2
which is n? the last number of the sum
500(500 + 1)/2 = 125,250
800(800+1)/2 = 320,400
uh oh forgot to read the last one, give me a minute. done
(800 - 501 + 1)(800 + 501)/2
300(1301)/2 = 195,150
or
320,400 - 125,250 = 195,150
Find the length of the hypotenuse, side c, of a right triangle with legs of length a = 4 and b = 5. Use a calculator to estimate the
square root to one decimal place.
answer:
6.4
Step-by-step explanation:
4^2+5^2=c^2
16+25
square root of 41
c^2=6.4
Your dinner bill is 93.24$
Answer:
yeah is that all?
Step-by-step explanation:
i feel like I'd understand if there was more to this
What is the equation of the line in slope-intercept form?
Answer:
y=3/5x+3
Step-by-step explanation:
3 is the y-intercept so that is the "b". To find the slope simply use rise/run.
Does anyone know the solution
Answer and explanation in the image.
One angle of a triangle measures 134 degrees. The other two angles are in a ratio of 9:14. What are the measures of those two angles?
Answer:
18:28
Step-by-step explanation:
Directions: Write the
numerical expression
into word form. I it is in
word form, write it as a
numerical expression.
(8x2)-(3+5)
Answer:
Numerical: (8x2)-(3+5) = 8
Word form: Eight-times-two minus three-plus-five
(8 x 2) - (3 + 5)
16 - 8 = 8
A camera is on sale for $130. After a 7.875% sales tax is added, what is the total cost of the camera?
4.
Find the value of y when x = 2.
y = 3x + 2
XON
Y
2
2
a) 2
b) 6
c) 7
d) 8
can someone PLEASE construct these 2 for me!
Which point represents
−
(
−
4
)
−(−4)minus, left parenthesis, minus, 4, right parenthesis on the number
Answer:
C
Step-by-step explanation:
-(-4)
so -×- becomes +
so -(-4)= 4
Answer:
No the answer is D
Step-by-step explanation:
-2
In Phoenix, Arizona, the average number of sunny days is 211 per year. About what percent of the year is Phoenix sunny?
Answer:
57.81
Step-by-step explanation:
Answer:
58%
Step-by-step explanation:
there are 365 days on one year so you need to divide 211 by 365.
211÷365 = 0.578
round: 0.58 or 58%
Select the correct answer.
When graphing an inequality, the boundary line needs to be graphed first. Which graph correctly shows the boundary line of the inequality?
y <1/3x+ 1
Answer:
C is the correct boundary line
Step-by-step explanation:
Answer:
It's so late but give that person they brainliest
Step-by-step explanation:
Maya earned $225.oo at her job when she worked for 10 hours. What did she earn in one hour?
Mr. And mrs. Samson decide to go with design a and purchase the materials. Their total bill is 356.88. If they pay 220 in cash and charge the remainder, how much did they charge?
Answer:
136.88
Step-by-step explanation:
Subtract 356.88 - 220 = 136.88
Please Help!!! I will try to give brainliest!!!
Answer:
I'm really sorry, but I only know that d=8
8. Of the 400 employees, 5% of them are managers. How many managers does the zoo employ?
8x-2y=18 3x-y=5 What is the y value of the solution?
Answer:
y = 7
Step-by-step explanation:
8x - 2y = 18
3x - y = 5
the above system of equations can be solved by multiplying the second equation by -2 so the 'y-terms' get eliminated
you can then substitute the value of 'x' into the equation to find the value of 'y'
8x - 2y = 18
+ -6x + 2y = -10
2x = 8
x = 4
3(4) - y = 5
12 - y = 5
-y = -7
divide each side by -1 to get: y = 7
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:
Which figure is NEVER a parallelogram?
triangle
rectangle
rhombus
square
Answer:
Triangle
Step-by-step explanation:
A parallelogram have four sides
please help :( ill give 40 points
Answer:
1. distance and time are the variables. 2. the variables are related by the speed of the car
What is 50% of 35 like simplified
Answer:
It can't get more simple than that (*nose growing*)
Step-by-step explanation:
50% of 35 means 35 is 100% right? 50 is half of 100. So 50% of 35 will be half of 35, agree? So you multiply by crossing
35 = 100%
x = 50%
100 * x = 35 * 50 (do this math, you can multiply 35 by 5 then add 0)
100x = 1750
x = 1750 / 100
x = 17,5
Is 17,5 half of 35? You could have also done 35 / 2. It would be the same result because 50% is an easy percentage to work with.
Phyllis invested $50,000 in two different types of stock. The first type earned 10% and the second type earned 15%. If the profit on the 15% stock was $2,500 more than the profit on the 10% stock, how much did Phyllis invest in the 15% stock?
Answer:
$ 30,000
Step-by-step explanation:
0.15(50,000 - x) - 0.1x = 2,500
7,500 - 0.15x - 0.1x = 2,500
7,500 - 2,500 = 0.15x + 0.1x
5,000 = 0.25x
5,000/0.25 = x
x =20,000
50,000 - 20,000 = 30,000
0.15 * 30,000 = $4,500
0.1 * 20,000 = $2,000
$4,500 - $2,000 = $2,500
Help help help help help help
You need to take each point and multiply the numbers by 5.
so the first one would be (-3,-1) multiplied by 5.
-3 * 5 = -15
-1 * 5 = -5
so your new point is (-15,-5)
hope this helped!
i need help with this please
Which system of inequalities is shown?
[tex]\huge\green{\tt MathSolution:}[/tex]
C. y < × y < 4
The graph of y = b is a horizontal line passing through the point (0, b) on the y-axis. To graph an equation of this form, such as y = 4, plot the point (0, b) on the y-axis and draw a horizontal line through it (see Example 4). If the equation is not in the form y = b, solve the equation for y. Vertical Lines: x = a.^^Harold and his brother collected 2019 cans a 1-year period. Each boy collected the same number of cans. About how many cans did each boy collect? Explain how you found your answer.
Answer:
1008.5 cans
Step-by-step explanation:
2019/2=1008.5
if you wanted per day, 1008.5/365=2017/730
solve this question
Answer:
what... how
Step-by-step explanation:
if h(x)=5x+2 and g(x) =9x-4 find (h o g) (3)
Answer:
h(g(x)) = 45x -18
Step-by-step explanation:
h(g(x)) = 5(9x - 4) + 2
= 45x - 20 + 2
= 45x -18
[tex]\text{Given that,}\\\\h(x) = 5x+2 \\\\g(x) = 9x-4\\\\g(3) = 9(3) -4 =27 -4=23\\\\(h \circ g)(3) \\\\=h(g(3))\\\\=h(23)\\\\=5(23) +2 \\\\=117[/tex]