Answer:
B) there is a single point of solution
Step-by-step explanation:
If the boundary lines are parallel, the solution space will be outside the lines (no solution), inside the lines (infinite solutions), or on one side of the lines (infinite solutions.) It is not possible for two half-planes with parallel edges to overlap at a single point.
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
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
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%
Which figure is NEVER a parallelogram?
triangle
rectangle
rhombus
square
Answer:
Triangle
Step-by-step explanation:
A parallelogram have four sides
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 = $2,500
Your dinner bill is 93.24$
Answer:
yeah is that all?
Step-by-step explanation:
i feel like I'd understand if there was more to this
Does anyone know the solution
Answer and explanation in the image.
Please Help!!! I will try to give brainliest!!!
Answer:
I'm really sorry, but I only know that d=8
i need help with this please
8. Of the 400 employees, 5% of them are managers. How many managers does the zoo employ?
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
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!
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.
Maya earned $225.oo at her job when she worked for 10 hours. What did she earn in one hour?
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.
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
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:
4.
Find the value of y when x = 2.
y = 3x + 2
XON
Y
2
2
a) 2
b) 6
c) 7
d) 8
Frame a linear equation for each of the following statements.
1. [tex]b[/tex]47 is 23 more than two times p.
2.[tex]b[/tex]One-fourth of p decreased by 3 gives −12
3.[tex]b[/tex]2 times p exceeds 15 by 3.
4. [tex]b[/tex]One-fifth of p decreased by 4 gives 6
Answer: chopstick
Step-by-step explanatio
can someone PLEASE construct these 2 for me!
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.^^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
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
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:
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:
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
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
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]
A camera is on sale for $130. After a 7.875% sales tax is added, what is the total cost of the camera?